# rpt maths form 3 by umimadihah

VIEWS: 999 PAGES: 30

• pg 1
```									                                                                 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

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
concept of        ii.   Identify the interior opposite                                   Truthfulness
cyclic                  angles of cyclic                 Integrating ICT   Translating                    Interior
and learning      Classifying                    angle
iii.   Determine the relationship                                       Fairness
between interior opposite        Constructivism    Comparing                      Exterior angle
angles and cyclic                                  and           Equity
The ability to
iv.    Identify exterior angles and                                     reason
the corresponding interior
opposite angle of cyclic

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

vi.    Solve problem involving
angles of cyclic

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
algebraic fractions with
subtraction on       subtraction on                               Constructivism                                multiple (LCM)
the same denominator.
algebraic            algebraic                                                                     Sincerity
fractions.           fractions.                                                                                 multiple
Dedication
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
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.

```
To top