rpt maths form 3 by umimadihah

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									                                                                 MATHEMATICS
                                                                    FORM 3
                                                                SCHEME OF WORK

WEEK   TOPICS/             LEARNING                 LEARNING OUTCOMES                     GENERICS          CCTS            MORAL           VOCABULARY
       SUBSTOPICS          OBJECTIVES                                                                                       VALUES
       1. LINES AND        Students will be taught Students will be able to :
1-2       ANGLES II        to :
       1.1 Properties of   1.1 Understand and i.        Identify :                        Contextual        Interpreting   Understanding    Parallel lines
           Angles               use properties of     a) transversals                     learning
           Associated           angles associated     b) corresponding angles                               Identifying    Equity           Transversal
           with                 with transversal      c) alternate angles                 Thinking Skill    relations
           Transversal          and parallel lines.   d) interior angles                                                   Self-confident   Alternate angle
           and Parallel                                                                   Constructivism    Making
           Lines                                 ii. Determine that for parallel lines:                     inferences     Cooperation      Interior angle
                                                     a) corresponding angles are          Enquiry-
                                                         equal                            discovery         Translating                     Corresponding angle
                                                     b) alternate angles are equal
                                                     c) sum of interior angles is         Cooperative                                       Intersecting lines
                                                         1800                             learning
                                                                                                                                            Acetate overlay
                                                 iii. Find the values of :                Mastery
                                                      a) corresponding angles             learning
                                                      b) alternate angles
                                                      c) interior angles associated       Multiple
                                                          with parallel lines.            Intelligence

                                                 iv.     Determine if two given           Integrating ICT
                                                         lines are parallel based on      into learning
                                                         the properties of angles         and teaching
                                                         associated              with
                                                         transversals.                    Future studies

                                                 v.      Solve problems involving
                                                         properties    of  angles
                                                         associated          with
                                                         transversals.
WEEK   TOPICS/          LEARNING             LEARNING OUTCOMES                   GENERICS          CCTS          MORAL            VOCABULARY
       SUBSTOPICS       OBJECTIVES                                                                               VALUES
                        Students will be     Students will be able to :
3-4    2. POLYGONS II   taught to :
       2.1 Regular      2.1 Understand         i.      Determine if a given      Thinking skill.   Classifying   Responsible      Polygon
           Polygons         the concept of            polygon is a regular
                            regular                   polygon.                   Constructivism    Drawing       Fairness         Regular polygon
                            polygons                                                               diagrams
                                               ii.      Find:                    Enquiry-                        Equity           Convex
                                                      a) the axes of             discovery         Comparing
                                                           symmetry                                and           The ability to   Axes of symmetry
                                                      b) the number of axes      Cooperative       contrasting   reason
                                                           of symmetry           learning                                         Straightedges
                                                      of a polygon.                                Identifying                    Angle
                                                                                 Mastery           relations
                                               iii.     Sketch regular           learning                                         Equilateral triangle
                                                      polygons.                                    Translating
                                                                                                                                  Square
                                               iv.      Draw regular polygons
                                                      by dividing equally the                                                     Regular hexagon
                                                      angle at the centre.

                                               v.        Construct equilateral
                                                      triangles, squares and
                                                      regular hexagons.
WEEK   TOPICS/               LEARNING                  LEARNING OUTCOMES                        GENERICS          CCTS          MORAL           VOCABULARY
       SUBSTOPICS            OBJECTIVES                                                                                         VALUES
                             Students will be taught   Students will be able to :
3-4    2. POLYGONS II        to :
       2.2 Exterior and      2.2    Understand         i. Identify the interior angles and      Thinking skill.   Classifying   Determination   Interior angle
           Interior Angles          and use the           exterior angles of a polygon.
           of Polygons              knowledge of                                                Constructivism    Drawing       Courtesy        Exterior angle
                                    exterior and       ii. Find the size of an exterior angle                     diagrams
                                    interior              when the interior angle of a          Enquiry-                        Responsible     Complementary angle
                                    angles of             polygon is given and vice versa.      discovery         Comparing
                                    polygons                                                                      and           Understanding
                                                       iii. Determine the sum of the            Cooperative       contrasting
                                                            interior angles of polygons         learning
                                                                                                                  Identifying
                                                       iv. Determine the sum of the             Mastery           relations
                                                           exterior angles of polygons          learning
                                                                                                                  Translating
                                                       v. Find:
                                                         a) The size of an interior angle
                                                              of a regular polygon given
                                                              the number of sides.
                                                         b) The size of an exterior angle
                                                              of a regular polygon given
                                                              the number of sides.
                                                         c) The number of sides of a
                                                              regular polygon given the
                                                              size of the interior or
                                                              exterior angle.

                                                       vi. Solve problems involving
                                                           angles and sides of polygons
WEEK   TOPICS/          LEARNING            LEARNING OUTCOMES                     GENERICS         CCTS          MORAL            VOCABULARY
       SUBSTOPICS       OBJECTIVES                                                                               VALUES
                        Students will be    Students will be able to :
 6-7   3. CIRLCES II    taught to :
       3.1 Properties   3.1 Understand        i.     Identify a diameter of a     Contextual       Identifying   Unity            Diameter
          of circles        and use                  circle as an axis of         learning         relations
          involving         properties of            symmetry                                                    Truthfulness     axis of symmetry
          symmetry,         circles                                               Learning how     Translating
          chords and        involving        ii.     Determine that:              to learn                       Responsible      chord
          arcs              symmetry,              a) A radius that is                             Classifying
                            chords and                perpendicular to a          Self-access                    Fairness         perpendicular
                            arcs                      chord divides the chord     learning         Comparing                      bisector
                                                      into two equal parts                         and           Equity
                                                      and vice versa              Cooperative      contrasting                    intersect
                                                                                  learning                       The ability to
                                                   b) Perpendicular bisectors                                    reason           equidistant
                                                      of two chords intersect     Thinking skill
                                                      at the center                                                               arc
                                                                                  Constructivism
                                                                                                                                  symmetry
                                                   c) Two chords that are         Problem
                                                      equal in length are         solving                                         center
                                                      equidistant from the
                                                      center and vice versa                                                       radius

                                                   d) Chords of the same                                                          perpendicular
                                                      length cut arcs of the
                                                      same length

                                            iii.     Solve problems
                                                     involving symmetry,
                                                     chords and arcs of circles
WEEK   TOPICS/           LEARNING            LEARNING OUTCOMES                        GENERICS          CCTS          MORAL            VOCABULARY
       SUBSTOPICS        OBJECTIVES                                                                                   VALUES

                         Students will be     Students will be able to :
 6-7   3. CIRLCES II     taught to :
       3.2 Properties    3.2 Understand        i.     Identify angles subtended by    Cooperative       Identifying   Unity            angle
          of angles in       and use                  and arc the center and at the   learning          relations
          circles            properties of            circumference of a circle                                       Truthfulness     subtended
                             angles in                                                Constructivism    Translating
                             circles          ii.     Determine that angles                                           Responsible      semicircle
                                                      subtended at the                Thinking skills   Classifying
                                                      circumference by the same                                       Fairness         circumference
                                                      arc are equal                   Integrating ICT   Comparing
                                                                                      into teaching     and           Equity           arc
                                             iii.     Determine that angles           and learning      contrasting
                                                      subtended:                                                      The ability to   chord
                                                    a) At the circumference           Problem                         reason
                                                    b) At the center by arcs of       solving                                          reflex angle
                                                        the same length are equal
                                                                                                                                       center
                                             iv.      Determine the relationship
                                                      between angle at the center
                                                      and angle at the
                                                      circumference subtended by
                                                      an arc

                                              v.      Determine the size of an
                                                      angle subtended at the
                                                      circumference in a
                                                      semicircle
                                             vi.      Solve problems involving
                                                      angles subtended at the
                                                      center and angles at the
                                                      circumference of circles
WEEK TOPICS/            LEARNING             LEARNING OUTCOMES                        GENERICS           CCTS        MORAL            VOCABULARY
     SUBSTOPICS         OBJECTIVES           VALUES
                        Students will be      Students will be able to :
 6-7   3. CIRLCES II    taught to :
       3.3 Cyclic       3.3 Understand         i.   Identify cyclic quadrilaterals   Cooperative       Identifying   Unity            Cyclic
        quadrilateral       and use the                                              learning          relations                      quadrilaterals
                            concept of        ii.   Identify the interior opposite                                   Truthfulness
                            cyclic                  angles of cyclic                 Integrating ICT   Translating                    Interior
                            quadrilaterals          quadrilaterals                   into teaching                   Responsible      opposite
                                                                                     and learning      Classifying                    angle
                                             iii.   Determine the relationship                                       Fairness
                                                    between interior opposite        Constructivism    Comparing                      Exterior angle
                                                    angles and cyclic                                  and           Equity
                                                    quadrilaterals                   Problem solving   contrasting
                                                                                                                     The ability to
                                             iv.    Identify exterior angles and                                     reason
                                                    the corresponding interior
                                                    opposite angle of cyclic
                                                    quadrilaterals

                                              v.    Determine the relationship
                                                    between exterior angles and
                                                    the corresponding interior
                                                    opposite angel of cyclic
                                                    quadrilaterals

                                             vi.    Solve problem involving
                                                    angles of cyclic
                                                    quadrilaterals

                                             vii.   Solve the problems
                                                    involving circles.
WEEK   TOPICS/          LEARNING             LEARNING OUTCOMES                    GENERICS         CCTS           MORAL           VOCABULARY
       SUBSTOPICS       OBJECTIVES                                                                                VALUES

       4. STATISTICS    Students will be     Students will be able to :                            Drawing        Systematic      Sector
8-9    II               taught to :
       4.1 Pie charts   4.1 Represent and     i.      Obtained interpret          Constructivism   diagrams                       Pie chart
                            interpret data            information from pie                                        Cooperation     Angle
                            in pie charts to          charts.                     Problem
                            solve problems.                                       solving          Interpreting                   Suitable
                                              ii.     Construct pie charts to                                     Considerate     representation
                                                      represent data.             Contextual
                                                                                  learning         Translating                    Construct
                                              iii.     Solve problems involving                                   Act wisely      Size of sector
                                                       pie charts.                Future studies
                                                                                                   Comparing                      Quantity
                                              iv.      Determine suitable         ICT              and            Steadfastness   Data
                                                     representation of data.
                                                                                  Self-access      contrasting                    Size of angle
                                                                                  learning.                                       Label
                                                                                                   Problem                        Title
                                                                                                   Solving                        Pictograms
                                                                                                                                  Bar chart
                                                                                                                                  Pie chart
WEEK   TOPICS/          LEARNING             LEARNING OUTCOMES                 GENERICS       CCTS           MORAL           VOCABULARY
       SUBSTOPICS       OBJECTIVES                                                                           VALUES
       4. STATISTICS    Students will be   Students will be able to :
 8-9   II               taught to :
       4.2 Mode,        4.2 Understand i.          Determine the mode of:      Contextual     Interpreting   Systematic      Data
           median and        and use the      a) sets of data.                 learning
                                                                                              Translating
           mean              concept of       b) Data given in frequency                                                     Mode
                             mode,                tables.                      Mastery        Comparing      Cooperation
                             median and                                        learning                                      Discrete
                                                                                              and
                             mean to     ii.      Determine the mode
                             solve                and the respective           Integrating    contrasting    Considerate     Frequency
                             problems.            frequency from               ICT into
                                                                                              Problem
                                                  pictographs, bar charts,     teaching and                                  Median
                                                  line graphs and pie          learning.      Solving        Act wisely
                                                  charts.                                                                    Arrange
                                                                               Self-access
                                            iii.     Determine the median of   learning                      Steadfastness   Odd
                                                   sets of data.
                                                                               Problem                                       Even
                                           iv. Determine the median of         solving
                                              data in frequency tables.                                                      Middle

                                           v. Calculate the mean of :                                                        Frequency table

                                               a) sets of data.                                                              mean
                                               b) Data frequency tables.

                                           vi. Solve problems involving
                                               mode, median and mean.
WEEK     TOPICS/           LEARNING            LEARNING OUTCOMES                    GENERICS     CCTS          MORAL                   VOCABULARY
         SUBSTOPICS        OBJECTIVES                                                                          VALUES
                           Students will be    Students will be able to :
 11-12   5. INDICES        taught to :
         5.1 Indices       5.1Understand the i.     Express repeated                ICT          Working out   Systematic              indices
                               concept      of    multiplication as an and          Contextual
                               indices            vice versa.                       Mastery      mentally      Thoughtful              base
                                                                                    Learning
                                                 ii.      Find the value of an.                                The ability to reason   index

                                                 iii.    Express numbers in index                              Self-motivated          power of
                                                        notation.
                                                                                                               Act wisely              index notation

         5.2               5.2 Perform           i. Verify am × an = am+n                                                              index form
            Multiplicati        computations
            on of               involving        ii. Simplify multiplication                                                           express
            numbers in          multiplication   of :.
            index               of numbers in        a) numbers                                                                        value
            notation            index                b) algebraic terms
                                notation.            expressed in index                                                                real numbers
                                                     notation with the same
                                                     base.                                                                             repeated

                                                  iii. Simplify multiplication of                                                      multiplication
                                                      a) numbers
                                                      b) algebraic terms                                                               factor
                                                      expressed in index
                                                      notation with different
                                                      bases.
WEEK    TOPICS/               LEARNING              LEARNING OUTCOMES                    GENERICS         CCTS          MORAL            VOCABULARY
        SUBSTOPICS            OBJECTIVES                                                                                VALUES
                             Students will be       Students will be able to :
11-12   5. INDICES            taught to :
        5.3 Division of       5.3 Perform           i. Verify am ÷ an = am-n             ICT              Working out   Systematic       multiplication
            numbers in             computation
            index notation         involving        ii. Simplify division of :.          Self accessed    mentally      Thoughtful       simplify
                                   division of          a) numbers                       Learning
                                   numbers in           b) algebraic terms                                              The ability to   base
                                   index notation       expressed in index notation      Mastery
                                                        with the same base.              Learning                       reason           algebraic term

        5.4 Raising          5.4 Perform                                  mn      mn     Constructivism                 Self-motivated   verify
           numbers and           computations        i.        Derive a a
           algebraic             involving           ii.       Simplify:                                                Act wisely       index notation
           terms in index        raising                   a) numbers
           notation to a                                   b) algebraic terms
                                                                                                                                         indices
           power.                 algebraic                expressed in index
                                  terms in index           notation raised to a power.
                                  notation to a                                                                                          law of indices
                                  power.            iii.       Simplify
                                                               multiplication and                                                        unknown
                                                               division of:
                                                               a) numbers                                                                Raised to a power
                                                               b) algebraic terms                                                        base
                                                           expressed in index
                                                           notation with different
                                                           bases raised to a power.

                                                    iv.       Perform combined
                                                              operations involving
                                                              multiplication,
                                                              division, and raised to
                                                              a power on:
                                                              a) numbers
                                                              b) algebraic terms
        TOPICS/             LEARNING                                                                                        CCTS          MORAL            VOCABULARY
WEEK                                          LEARNING OUTCOMES                                             GENERICS
        SUBTOPICS          OBJECTIVES                                                                                                     VALUES
                         Student will be      Student will be able to:
11-12   5. INDICES       taught to:                                               n            1
        5.5 Negative     5.5 Perform           i.         Verify a                                        Mastery         Working out   Systematic       verify
            indices.         computations                                                    an             Learning
                             involving                                        n             1                               mentally      Thoughtful
                                              ii.         State a as                      n and    vice
                             negative                                                   a                   ICT
                             indices.                  versa                                                                              The ability to
                                              iii.     Perform combined                                     Self accessed
                                                       operations involving                                 Learning                      reason
                                                       multiplication, division, and
                                                       raised to a power on:                                                              Self-motivated
                                                   a) numbers
                                                   b) algebraic terms
                                                                              1
                                                                                                                                          Act wisely
                                              i.          Verify              n         n
        5.6 Fractional   5.6     Perform                                  a a
                                                                          1
            indices.           computations   ii.         State                       as n a and vice
                               involving                  n
                               fractional                             a
                                                          versa.              1
                               indices.       iii.        Find the value of a n

                                              iv.         State           nm
                                                                  a as:
                                                                 1                          1
                                                     a) a m  n or a n  m
                                                                                  n         m
                                                              n   m
                                                     b)               a or a 
                                              v.        Perform combined operations
                                                     involving multiplication,
                                                     division, and raised to a power
                                                     on:
                                                     a) numbers
                                                     b) algebraic terms
                                              v.          Find the value of                         nm
                                                                                                a
WEEK TOPICS/                  LEARNING               LEARNING OUTCOMES                GENERICS CCTS            MORAL            VOCABULARY
     SUBTOPICS               OBJECTIVES                                                                        VALUES
                           Student will be     Student will be able to:
11-12   5. INDICES         taught to:
        5.7 Computations 5.7 Perform           i.       Perform multiplication,       Mastery    Working out   Systematic
            involving laws      computations            division, raised to a power   Learning
            of indices.         involving               or operations on several                 mentally      Thoughtful
                                laws of                 numbers expressed in          ICT
                                indices.                index notation.                                        The ability to
                                                                                      Self
                                               ii.      Perform combined              accessed                 reason
                                                        operations multiplication,    Learning
                                                        division, and raised to a                              Self-motivated
                                                        power involving positive,
                                                        negative and fractional                                Act wisely
                                                        indices.
        TOPICS/                  LEARNING                                                                 CCTS          MORAL        VOCABUL
WEEK                                                      LEARNING OUTCOMES               GENERICS
        SUBTOPICS               OBJECTIVES                                                                              VALUES         ARY
        6. ALGEBRAIC           Student will be     Students will be able to:
13-15      EXPRESSION          taught to:
           III                 6.1 Understand      i.         Expand single brackets.    Contextual       Identifying   Act wisely   Linear algebraic
        6.1 Expansions            and use the                                            learning         relations                  Terms
                                  concept of       ii.        Expand two brackets                                       Systematic   Like terms
                                  expending                                              Constructivism                              Unlike terms
                                  brackets                                                                              Sincerity    Expansion
                                                                                                                                     Expand
                                                                                                                        Dedication   Single brackets
                                                                                                                                     Two brackets
        6.2 Factorization of 6.2 Understand        i.         State     factors     of                                  Effort       Multiply
             algebraic            and use the      an                                                                                Factorization
             expression           concept of                  algebraic term                                                         Square
                                  factorization                                                                                      Common factor
                                  of algebraic     ii.        State common factors and                                               Term
                                   expression to              the HCF for                                                            Highest
                                  solve                       several                                                                common factor
                                  problems.                   algebraic terms.                                                       (HCF)
                                                                                                                                     difference      of
                                                   iii.        Factorize algebraic                                                   two square
                                                               expression:                                                           numerator
                                                           a) using common factor                                                    denominator
                                                            b) the difference of two                                                 algebraic
                                                               squares.                                                              fraction
                                                                                                                                     factorization
                                                   iv        Factorize and simplify
                                                             algebraic fractions.
        TOPICS/                LEARNING                                                          CCTS          MORAL        VOCABU LARY
WEEK                                                    LEARNING OUTCOMES             GENERICS
        SUBTOPICS             OBJECTIVES                                                                       VALUES

13-15   6. ALGEBRAIC         Student will be
                                                Students will be able to:
           EXPRESSION        taught to:                                       Contextual         Identifying   Act wisely   common factor
           III               6.3.Perform                                      learning           relations
                                                i.    Add or subtract two
        6.3 Addition and         addition and                                                                  Systematic   lowest common
                                                     algebraic fractions with
            subtraction on       subtraction on                               Constructivism                                multiple (LCM)
                                                      the same denominator.
            algebraic            algebraic                                                                     Sincerity
            fractions.           fractions.                                                                                 multiple
                                                                                                               Dedication
                                                 ii.     Add or subtract two
                                                                                                                            denominator
                                                         algebraic fractions
                                                                                                               Effort
                                                         with one denominator as a
                                                                                                                            simplification
                                                         multiple of the other
        6.4 Multiplication   6.4.Perform
                                                         denominator.
           and division on      multiplication
           algebraic            and division
           fractions.           on algebraic
                                                 i.       Multiply two algebraic
                                fractions.
                                                          fractions involving
                                                          denominator with:
                                                          a) one term.
                                                          b) two terms

                                                 ii.      Divide two algebraic
                                                          fractions involving
                                                          denominator with:
                                                          a) one term.
                                                          b) two terms

                                                 iii.     Perform multiplication
                                                          and division of two
                                                          algebraic fractions using
                                                          factorization and the
                                                          different of two square.
WEEK TOPICS/      LEARNING            LEARNING OUTCOMES                                             GENERICS                     MORAL   VOCABULARY
      SUBTOPICS   OBJECTIVES                                                                                         CCTS
16-17  7.         7.1 Variable   i) Determine if a quantity in a given situation is a variable or   Contextual       Identify Thoughtful Linear algebraic
      ALGEBRAIC   And Constant   a constant.                                                        learning         relation
                                                                                                                       relations         Terms
      FORMULAE                                                                                      Constructivism
                                 ii)Determine the variable in a given situation and represent
                                 it with a letter symbol.

                                 iiii) Determine the possible values of a variable in a given
                                 situation.




                                 Students will be able to :
                  7.2 Formulae
                                 i.     Write a formula based on a given:

                                       a. Statement
                                       b. situation.

                                       ii.      Identify the subject of a given formula.

                                       iii.     Express a specified variable as the subject of a
                                              formula involving:

                                       a. one of the basic operations: +, ,, x, ÷
                                       b. powers or roots
        TOPICS/              LEARNING                                                                                           MORAL            VOCABULARY
WEEK                                                  LEARNING OUTCOMES                           GENERICS        CCTS          VALUES
        SUBTOPICS          OBJECTIVES
        8. SOLID           Students will be   Students will be able to:
18-19      GEOMETRY        taught to :         i.     Derive the formula for                                                    Appreciative     Derive
        III                8.1 Understand          volume of :                                   Enquiry -        Identifying                    Prism
        8.1 Volume of         and use              a) prisms                                     discovery.       relations     Thoughtful       Cylinder
        the                                        b) cylinders.                                                                                 Right circular
            right prisms      concept of      ii. Calculate the volume of a right prism in       Learning how     Translating   Understanding    cylinder
            and right         volume of            cubic units given the height and :            to learn.                                       Base
            circular          right prisms         a) the area of the base
                                                   b) dimensions of the base.                                                   Self-confident   Radius
            cylinders.        and right                                                          Contextual                                      Volume
                              circular        iii. Calculate the height of a prism given the     learning.
                                                    volume and the area of the base.                                            Dedication       Area
                               cylinders to                                                                                                      Cubic unit
                                              iv. Calculate the area of the base of a prism
                              solve                                                              Constructivism                                  Square
                                                   given the volume and the height.
                              problems.                                                                                                          Rectangle
                                               v. Calculate the volume of a cylinder in
                                                   cubic units given:                                                                            Triangle
                                                   a) area of the base and the height. b)                                                        Dimension
                                                   radius of the base and the height of                                                          Height
                                                   the cylinder.                                                                                 Cubic metre
                                              vi. Calculate the height of a cylinder, given                                                      Cubic
                                                    the volume and the radius of the base.                                                       centimetre
                                              vii. Calculate the radius of he base of a                                                          Cubic
                                                    cylinder given the volume and the height.                                                    millimeter
                                              viii. Convert volume in one metric unit to                                                         Millimeter
                                                     another:                                                                                    Litre
                                                     a) mm3 , cm3 and m3
                                                     b) cm3 , mℓ and ℓ.
                                                ix. Calculate volume of liquid in a container.
                                                 x. Solve problems involving volume of
                                                     prisms and cylinders.
WEEK     TOPICS/                LEARNING
         SUBTOPICS              OBJECTIVES         LEARNING OUTCOMES                          GENERICS           CCTS         MORAL           VOCABULARY

        8. SOLID              Students will be   Students will be able to :
18-19       GEOMETRY          taught to :
           III                8.2 Understand      i.     Derive the formula                   Self access      Identifying   Appreciative     Convert
        8.2 Volume of             and use the          for the volume of :                    learning.        relations
             right                concept of           a) pyramids                                                           Thoughtful       Metric unit
             pyramids and         volume of            b) cones                               Constructivism   Translating                    Liquid
             right circular       right            ii. Calculate the volume of pyramids                                      Understanding
             cones.               pyramids             in mm3 , cm3 and m3 , given            Thinking                                        Container
                                  and right            the height and :                       skills.                        Self-confident
                                  circular             a) area of the base                                                                    Pyramid
                                  cones to             b) dimensions of base.                                                Dedication
                                  solve           iii. Calculate the height of a pyramid      Enquiry -                                       Cone
                                  problems.            given the volume and the               discovery.
                                                       dimension of the base.
                                                 iv. Calculate the area of the base of a      Learning how                                    Volume
                                                        Pyramid given the volume and the      to learn.                                       Base
                                                       height.
                                                  v. Calculate the volume of a cone in        Contextual                                      Height
                                                       mm3 , cm3 and m3 , given the           learning.
                                                       height and radius of the base.                                                         Dimension
                                                  vi. Calculate the height of a cone,
                                                       given the volume and the radius of
                                                       the base.
                                                 vii. Calculate the radius of the base of a
                                                       cone given the volume and the
                                                       height.
                                                 viii. Solve problems involving volume
                                                       of pyramids and cones.
WEEK TOPICS/          LEARNING             LEARNING OUTCOMES                                            GENERICS               MORAL       VOCABULARY
      SUBTOPICS       OBJECTIVES                                                                                       CCTS
18-19 8. SOLID        8.3 Understand    Students will be able to :                                      Contextual     Identify Thoughtful Height
      GEOMETRY        and use the i)       i. Calculate the volume of spere given the radius of the     learning       relation
                                                                                                                         relations
      III             concept of ii)          sphere.                                                   Constructivism                     Dimensions
                      volume of            ii. Calculate the radius of the sphere given the volume of
      8.3 Volume of   sphere to solve          the sphere.                                                                                 Sphere
          sphere      problems.            iii.Solve problems involving volume of sphere.
                                                                                                                                           Hemisphere

                                                                                                                                           Solid Composite
      8.4 Composite   8.4 Apply the     i. Calculate the volunme of composite solids.
          solids      concept of        ii. Solve problems involving volumes of composite solids.
                      volume to
                      solve problems
                      involving
                      composite
                      solids.
WEEK TOPICS/     LEARNING               LEARNING OUTCOMES                                         GENERICS           CCTS      MORAL      VOCABULARY
     SUBTOPICS   OBJECTIVES
 22  9. SCALE    Students will be   Student will be able to :                                     Contextual     Identify      Thoughtful Height
     DRAWINGS    taught to :            i. Sketch shapes                                          learning       Relation
                                                                                                                   relations
                  9.1 Understand           a) Of the same size as the objects using grid papers   Constructivism                          Dimensions
                 and the concept           b) Smaller than the object using gris papers.                         Translating
                 of scale                  c) Larger than the object using grid papers                                                    Sphere
                 drawings.
                                       ii. Draw geometric shapes according the scale 1: n,                                                Hemisphere
                                           where n = 1, 2, 3 , ½, ......
                                                                                                                                          Solid Composite
                                       iii. Draw the shapes according to a given scale using
                                             a) Grid papaers

                                            b) Blank papers

                                       iv. Redraw the shapes on grids papers of different
                                           sizes.

                                       v.Solve probles involving scale drawings.
WEEK   TOPICS/              LEARNING           LEARNING OUTCOMES                           GENERICS         CCTS           MORAL         VOCABULARY
       SUBTOPICS            OBJECTIVES                                                                                     VALUES
       10. TRANSFORMATION   Students will be   Students should be able to:
23        II                taught to :        i.      Identify if given shapes are
       10.1 Similarity      10.1 Understand            similar.                            Contextual       Classifying    Fairness      shape
                                and use the    ii.     Calculate the lengths of            learning                                      similar
                                concept of             unknown sides of two                                 Identifying    Equity        side
       10.2 Enlargement         similarity .           similar shapes                      Multiple         relations                    angle
                            10.2 Understand                                                intelligence .                  Effort        proportion
                                and use the    i.        Identify an enlargement .                          Interpreting                 centre of
                                concept of     ii.       Find the scale factor, given      Thinking                        Considerate   enlargement
                                                          the object and its image of an
                                enlargement.              enlargement when :               skill.           Drawing                      transformation
                                                    a) scale factor > 0                                     diagrams       Thoughtful    enlargement
                                                    b) scale factor < 0                    Integrating                                   scale factor
                                                    c) scale factor = negative.
                                                                                           ICT into         Translating                  object
                                               iii.       Determine the centre of          teaching &                                    image
                                                          enlargement , given the          learning                                      invariant reduction
                                                          object and its image.                                                          size
                                               iv.        Determine the image of an        Self access                                   orientation
                                                          object given the centre of       learning .                                    similarity
                                                          enlargement and the scale
                                                          factor.
                                               v.         Determine the properties of
                                                          enlargement
                                               vi.        Calculate :
                                                    a) the scale factor
                                                    b) length of the side of the
                                                        image
                                                    c) length of the side of the
                                                        object of an enlargement.
                                               vii. Solve problems involving
                                                     enlargement.
WEEK   TOPICS/                LEARNING              LEARNING OUTCOMES                      GENERICS       CCTS          MORAL           VOCABULARY
       SUBTOPICS              OBJECTIVES                                                                                VALUES
       11. LINEAR             Students will be      Students will be able to:
 24    EQUATIONS II           taught to :
       11.1 Linear            11.1 Understand       i)     Determine if an equation is     Enquiry        Classifying   Determination   Equation
             equations in           and use the            a linear equation in two        discovery
             two variables          concept of             variables.                                     Identifying   Tolerance       Variable
                                    two linear                                             Thinking       relations
                                    equations in    ii)        Write linear equations in   skills                       Understanding   Linear equation
                                    two variables          two variables from given                       Translating
                                                           information.                    Learning how                 Courtesy        Value
                                                                                           to learn
                                                    iii)      Determine the value of a                                  Sincerity       Possible solution
                                                           variable given the other        Multiple
                                                           variables.                      Intelligence                                 Simultaneous
                                                                                                                                        Linear equation
                                                    iv)      Determine the possible        Integrating
                                                           solutions for a linear          ICT                                          Solution
                                                           equation in two variables.
                                                                                           Self-access                                  Substitution
                                                                                           learning
       11.2 Simultaneous      11.2 Understand       i)        Determine if two given                                                    Elimination
           linear equations        and use the             equations are simultaneous      Trial and
           in two variables        concept of              linear equations.               improvement
                                   two
                                   simultaneous     ii)        Solve two simultaneous      Problem
                                   linear                  linear equations in two         solving
                                   equations in            variables by
                                   two variables           a. substitution
                                   to solve                b. elimination
                                   problems
                                                    iii)     Solve problems involving
                                                           two simultaneous linear
                                                           equations in two variables.
WEEK   TOPICS/             LEARNING            LEARNING OUTCOMES                   GENERICS        CCTS            MORAL           VOCABULARY
       SUBTOPICS           OBJECTIVES                                                                              VALUES
                           Students will be    Students will be able to :
25     12. INEQUALITIES    taught to:
       12.1 Inequalities   12.1 Understand     i.         identify the             Contextual      Comparing and   Determination   Inequality
                               and use the                relationship:            learning        contrasting
                               concept of             a) greater than                                              Tolerance       Greater
                               inequalities.          b) less than                 Constructivis   Identifying                     Less
                                                      based on given situations    m               relations       Understanding
                                                                                                                                   Greater than
                                               ii.        write the relationship   Enquiry-        Interpreting    Courtesy
                                                          between two given        discovery                                       Less than
                                                          numbers using the                        Drawing         Sincerity
                                                          symbol “>” or “<” .      Integrating     diagrams                        Equal to
                                                                                   ICT into
                                               iii.       identify the             teaching and    Translating                     Include
                                                          relationship:            learning
                                                      a) greater than or equal                     Finding all                     Equivalent
                                                          to                                       possible                        Solution
                                                      b) less than or equal to                     solutions
                                                      based on given situations
WEEK   TOPICS/                LEARNING           LEARNING OUTCOMES                    GENERICS       CCTS           MORAL           VOCABULA
       SUBTOPICS              OBJECTIVES                                                                            VALUES          RY
                              Students will be   Students will be able to :
25     12. INEQUALITIES       taught to:
       12.2 Linear            12.2 Understand    i.       Determine if a given        Cooperating    Comparing      Determination   Relationship
            inequalities in       and use                 relationship is a linear    learning       and
            one unknown           concept of              inequality.                                contrasting    Tolerance       Linear
                                  linear                                              Contextual
                                  inequalities   ii.      Determine the possible      learning       Identifying    Understanding   Unknown
                                  in one                  solutions for a given                      relations
                                  unknown                 linear inequality in on     Multiple                      Courtesy        Number line
                                                          unknown                     intelligence   Interpreting
                                                          a) x > h;                                                 Sincerity
                                                          b) x < h;                   Thinking       Drawing
                                                          c) x ≥ h;                   skills         diagrams
                                                          d) x ≤ h
                                                          e)                          Self access    Translating
                                                 iii.     Represent a linear          learning
                                                          inequality:                                Finding all
                                                          a) x > h;                   Integrating    possible
                                                          b) x < h;                   ICT into       solutions
                                                          c) x ≥ h;                   teaching and
                                                          d) x ≤ h                    learning
                                                          on a number line and vice
                                                          versa

                                                 iv.      Construct linear
                                                          inequalities using
                                                          symbols:
                                                          a) “ > ” or “ < ”
                                                          b) “ ≥ ” or “ ≤ ”
                                                          from given information.
WEEK   TOPICS/                LEARNING              LEARNING OUTCOMES                    GENERICS          CCTS            MORAL           VOCABULARY
       SUBTOPICS              OBJECTIVES                                                                                   VALUES
                              Students will be      Students will be able to :
25     12. INEQUALITIES       taught to:
       12.3 Computations      12.3 Perform          i.          State a new inequality   Mastery           Comparing and   Determination   Addition
            involving         computations                      for a given inequality   learning          contrasting
            addition,         involving addition,               when a number is:                                          Tolerance       Subtraction
            subtraction,      subtraction,                      a) added to              Constructivism    Identifying
            multiplication,   multiplication and                b) subtract from                           relations       Understandin    Multiplication
            and division on   division on                       both sides of the        Multiple                          g
            inequalities      inequalities                      inequalities.            intelligence      Interpreting                    Relation
                                                                                                                           Courtesy
                                                    ii.         State a new inequality   Thinking skills   Drawing                         Equivalent
                                                                for a given inequality                     diagrams        Sincerity
                                                                both sides of the        Integrating ICT                                   Simplest
                                                                inequalities are :       into teaching     Translating
                                                                a) multiplied by a       and learning                                      Collect
                                                                     number                                Finding all
                                                                b) divided by a                            possible                        Isolate
                                                                     number                                solutions
                                                                                                                                           solve
                                                    iii.        Construct inequalities

                                                           a) x k m k
                                                           b) x k m k
                                                           c) kxkm
                                                                x        m
                                                           d)       
                                                                k        k
WEEK   TOPICS/                LEARNING              LEARNING OUTCOMES                   GENERICS      CCTS            MORAL           VOCABULARY
       SUBTOPICS              OBJECTIVES                                                                              VALUES
                              Students will be      Students will be able to :          Integrating
25     12. INEQUALITIES       taught to:                                                ICT into      Comparing and   Determination   add
       12.4 Solving Linear    12.4 Perform          i) Solve a linear inequality by:    teaching &    contrasting
            Inequalities In       computations           a) adding a number             learning.                     Tolerance       subtract
            one Unknown           to solve               b) subtracting a number on                   Identifying
                                  inequalities in            both sides of the          Contextual    relations       Understanding   multiply
                                  one variable               inequality.                learning.
                                                                                                      Interpreting    Courtesy        divide
                                                    ii) Solve a linear inequality by:   Enquiry-
                                                         a) multiplying a number        discovery     Drawing         Sincerity
                                                         b) dividing a number on                      diagrams                        determine
                                                             both sides of the
                                                             inequality.                              Translating                     common value

                                                    iii) Solve linear inequalities in                 Finding all                     simultaneous
                                                         one variable using a                         possible
                                                         combination of operations.                   solutions                       Combining
                                                                                                                                      linear inequality

                                                                                                                                      number line
       12.5 Simultaneous      12.5 Understand       i) Represent the common values
           Linear                 the concept of       of two simultaneous linear                                                     equivalent
           Inequalities In        simultaneous         inequalities on a number line.
           One Variables          linear
                                  inequalities in   ii) Determine the equivalent
                                  one variable.          inequalities for two given
                                                         linear inequalities.
                                                    iii) Solve two simultaneous
                                                         linear inequalities.
WEEK   TOPICS/          LEARNING           LEARNING OUTCOMES                    GENERICS       CCTS           MORAL            VOCABULARY
       SUBTOPICS        OBJECTIVES                                                                            VALUES
       13. GRAPHS OF    Students will be   Students will be able to:
  26      FUNCTIONS     taught to :
       13.1 Functions   13.1 Understand    i.      State the relationship       Enquiry -      Classifying    Determination    Function
                        and use the                between two variables        discovery
                        concept of                 based on the given                          Identifying    Tolerance        Relationship
                        functions.                 information.                 Thinking       relations
                                           ii.     Identify the dependent       skills                        Understanding    Dependent
                                                   and independent                             Interpreting                    variable
                                                   variables in a given         Self access                   Self-confident
                                                   relationship involving       learning       Drawing                         Independent
                                                   two variables.                              diagrams       Sincerity        variable
                                           iii.    Calculate the value of the   Integrating
                                                   dependent variable, given    ICT into       Translating    Self-motivated   Ordered pairs
                                                   the value of the             teaching and
                                                   independent variable.        learning                                       Coordinate
       13.2 Graphs of   13.2 Draw and                                                                                          plane
           functions    use graphs of
                        functions          i.      Construct tables of                                                         Table of values
                                                   values for given                                                            Origin
                                                   functions.
                                           ii.     Draw graphs of functions                                                    Graphs
                                                   using given scale.
                                           iii.    Determine from graphs                                                       x-coordinate
                                                   the value of y, given                                                       y-coordinate
                                                   value of x and vice versa.
                                           iv. Solve problems involving                                                        x-axis
                                                graphs of functions.                                                           y-axis

                                                                                                                               Scale
WEEK   TOPICS/          LEARNING            LEARNING OUTCOMES                         GENERICS    CCTS           MORAL           VOCABULARY
       SUBTOPICS        OBJECTIVES                                                                               VALUES

       14. RATIOS,      Students will be    Students will be able to :
 27       RATES AND     taught to :
          PROPORTIONS                                                                             Comparing      Systematic      Rate
          II                                i.    Determine the rates involved in     Enquiry-    and
       14.1 Rate        14.1 Understand          given situations and identify the    discovery   contrasting    Determination   Quantity
                              the concept        two quantities involved.
                              of            ii. Calculate the rate given two          Future      Identifying    Tolerance       Unit of
                             rate and          different quantities.                  studies     relations                      measurement
                            perform         iii. Calculate a certain quantity given                              Understanding
                             computations      the rate and the other quantity.                   Interpreting                   Speed
                            involving       iv. Convert rates from one unit of                                   Courtesy
                             rates.            measurement to another.                            Translating                    Distance
                                            v. Solve problems involving rates.                                   Sincerity
                                                                                                                                 Time

       14.2 Speed                           i.      Identify the two quantities                                                  Uniform
                        14.2 Understand          involved in speed.
                             and use the    ii. Calculate and interpret speed.                                                   Non-uniform
                             concept of     iii. Calculate :
                             speed.               a) the distance, given the speed                                               differentiate
                                                       and the time.
                                                  b) The time, given the speed
                                                       and the distance.
                                            iv. Convert speed from one unit of
                                                 measurement to another.
                                            v. Differentiate between uniform
                                                 speed and non-uniform speed.
WEEK TOPICS/               LEARNING         LEARNING OUTCOMES                                  GENERICS   CCTS   MORAL   VOCABULARY
     SUBTOPICS             OBJECTIVES
     14.3 Average Speed                 i. Calculate the average speed in various
                                        situations.

                                        ii. Calculate
                                            a) the distance, given the average speed and the
                                              time
                                            b) the time, given the average speed and the
                                              distance


       14.4 Acceleration                i. Identify the two quantities involved in
                                           acceleration.

                                        ii. Calculate and interpret acceleration
WEEK TOPICS/              LEARNING                 LEARNING OUTCOMES                          GENERICS CCTS                 MORAL           VOCABULARY
     SUBTOPICS            OBJECTIVES                                                                                        VALUES
                          Students will be         Students will be able to:
28   15. TRIGONOMETRY taught to :                                                              Multiple       Identifying   Thankful        Tangent
      15.1 Tangent of an 15.1 Understand        i. Identify the:                               Intelligence   relations
           acute angle         and        use        a) hypotenuse                                                          Responsible     Acute angle
                               tangent of            b) the opposite side and the              Integrating    Translating                 Average speed
                               an       acute              the adjacent side with respect      ICT into and                 Self-           Right-angled
                               angle in a                  to one  of the acute angles.        teaching and                 motivated       triangle
                               right-angled     ii.         Determine the tangent of an        learning
                               triangle.                    angle.                                            Identifying   Act wisely      Hypotenuse
                                                iii.        Calculate the tangent of an Thinking              relations
                                                            angle given the lengths of sides skills                                         Opposite sides
                                                            of the triangle                   Interpreting
                                                iv.         Calculate the lengths of sides of Cooperative                                   Adjacent side
                                                            a triangle given the value of      learning       Translating
                             15.2 Understand                tangent and the length of                                                       Ratio
     15.2 Sine of an acute         and use sine             another side.
         angle                     of an acute       .                                                                                      Value
                                   angle in a i. Determine the sine of an angle.
                                   right-angled ii. Calculate the sine of an angle                                                          Length
                                   triangle.           given the lengths of sides of the
                                                       triangle.                                                                            Size
                             concept of         iii. Calculate the lengths of sides of a
     15.3 Cosine of an acute 15.3 Understand           triangle given the value of sine and
          angle                  and use             the length of another side.
                                 cosine of an
                                 acute angle    i)          Determine the cosine of an
                                 in a right-                angle.
                                 angled         ii)         Calculate the cosine of an angle
                                 triangle.                  given the lengths of sides of the
                                                            triangle.
                                                iii) Calculate the lengths of sides of a
                                                     triangle given the value of cosine
WEEK   TOPICS/                     LEARNING           LEARNING OUTCOMES                            GENERICS       CCTS          MORAL         VOCABULARY
       SUBTOPICS                   OBJECTIVES                                                                                   VALUES
                                   Students will be   Students will be able to :
28     15. TRIGONOMETRY            taught to :
       15.4 Problem solving        15.4 Use the       i)         Calculate the value of other      Multiple       Identifying   Thankful      Angle
            involving the values       values of                 trigonometric ratios given the    Intelligence   relations
            of tangent, sine           tangent,                  value of a trigonometric ratio.                                Responsible   Degree
            and cosine                 sine and       ii)        Convert the measurement of        Integrating    Translating
                                       cosine to                 angles from:                      ICT into                     Self-         Minute
                                       solve               a) degrees to degrees and minutes.      teaching and                 motivated
                                       problems.           b) Degrees and minutes to               learning                                   Tangent
                                                                degrees.                                                        Act wisely
                                                      iii)       Find the value of:                Thinking                                   Sine
                                                           a) tangent                              skills
                                                           b) sine                                                                            cosine
                                                           c) cosine                               Cooperative
                                                           of 30°, 45° and 60° without using       learning
                                                           scientific calculator.

                                                      iv)        Find the value of:
                                                            a) tangent
                                                            b) sine
                                                            c) cosine
                                                           using scientific calculator.

                                                      v)         Find the angles given the
                                                                 values of:
                                                            a) tangent
                                                            b) sine
                                                            c) cosine
                                                           using scientific calculators.

                                                      vi) Solve problems involving
                                                          trigonometric ratios.

								
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