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RPT : MATHEMATIC FORM 3 STANDARD AKADEMIK SEKOLAH-SEKOLAH NEGERI JOHOR YEARLY LESSON PLAN 2011 SEKOLAH : TINGKATAN : 3 MATA PELAJARAN : MATEMATICS Week Learning Area Learning Objectives Learning Outcomes Remark 3 Jan – 7 Jan (WEEK 1) DIAGNOSTIC TEST 10 Jan-14 Jan 1 .Lines and Students will be taught to : Students will be able to : (WEEK 2) Angles (II) Identify properties of angles i. Associate transversal and parallel associated with transversals lines with – and parallel lines.. Corresponding angles Alternate angles Interior angles Identify properties of angles ii. Associate properties of angles- associate with parallel lines. Corresponding angles are equal. Alternate angles are equal The interior angles on the same side of transversal are supplementary. The sum of interior angles is 180º Find the value of an angle in i. find unknown angles. associated with parallel lines. Identify parallel lines, based on ii. Determine if two given lines are the properties of angles paralleled. associated with transversals. Solving problems involving angles associated with transversal. 1 RPT : MATHEMATIC FORM 3 17 Jan – 21 Jan 2. Polygons II Students will be taught to : Students will be able to : (WEEK 3) Determine Regular Polygons. i. Determine regular polygons having equal sides and all interior angles are equal. Determine the axes of ii. Determine all regular polygons symmetry in a polygon. having number of axes of symmetry. Sketching / Drawing Regular iii. Determine regular polygons Polygons. having equal number of sides. Constructing an equilateral triangle. Square and a regular i. Construct a polygon. hexagon. ii. Determine whether polygons are regular or irregular. Identify interior angles and i. determine the exterior angle and exterior angles of a polygon interior angle of a polygon are Determine the size of an supplementary . exterior angle given the interior ii. find the value of an exterior angle. angle when the interior angle is Determine the sum of the given. interior angle of polygons. iii. Calculate the value of interior angle of a polygon 24 Jan – 28 Jan Students will be taught to : Students will be able to : (WEEK 4) Determine the sum of the i. find the sum of the exterior exterior angle of a polygon. angles of a polygon. Determine the size of the i. find the interior angle and interior angle, exterior angle exterior angle of a regular and the number of sides of polygon when number of sides a regular polygon. of polygon is given. ii. calculate the interior angle of a regular polygon with n sides 2 RPT : MATHEMATIC FORM 3 Interior angle = (n-2) X 180º n iii. Find the exterior angle of a regular polygon Exterior angle = 360º Number of sides = 360º n = sum of interior angles Solve problems involving number of sides angles and sides of a polygon. iv. calculate the number of sides of a regular polygon when the interior angles are given. n= 360º exterior angle n= 360º 180º - interior angle 31 Jan – 4 Feb (WEEK 5) REPLACEMENT HOLIDAY, OCCASIONAL HOLIDAY , PUBLIC HOLIDAY (CHINESE NEW YEAR) 7 Feb – 11 Feb 3. Circles (II) Students will be taught to identify : Students will be able to determine : (WEEK 6) properties of circles involving i. the diameter of a circle as an symmetry , chords and arcs axis of symmetry. the properties of chords. ii. Solve problems involving symmetry, chords and arc of circles properties of angles in a circle i. angles subtended by an arc. ii. angles substended at the circumference by the same arc. iii. angles subtended at the 3 RPT : MATHEMATIC FORM 3 circumference of the centre by arcs of the same length. iv. Relationship between angle at the centre and angle at the circumference which are subtended by the same arc. v. The size of an angle subtended at the circumference in a semicircle. vi. Solving problems involving subtended angles at the centre and circumference. 14 Feb– 18 Feb Students will be taught to determine : Students will be able to identify : (WEEK 7) Cyclic Quadrilaterals Cyclic quadrilaterals The Interior opposite angles of cyclic quadrilaterals The relationship between interior opposite angles of a cyclic quadrilateral The exterior angle and its corresponding interior opposite angle of a cyclic quadrilateral The relationship between the exterior angles and their corresponding interior opposite angles of a cyclic quad Solving problems involving circles 4 RPT : MATHEMATIC FORM 3 21 Feb – 25 4. Statistics (ii) Students will be taught : Students are able to: Feb (WEEK 8) Pie Chart i. Construct a pie chart ii. Obtain and interpret information from Pie Charts. iii. Solving problems involving Pie Charts. iv. Determine suitable representation of data. Mode , Median and Mean i. determine the mode for a set of data 28 Feb – 4 Mac ii. determine the mode and its (WEEK 9) corresponding frequency from Pictograms, Bar Charts, Line Graphs And Pie Charts. iii. Determine the Median for a Set of Data. iv. Determine the Median For data in a frequency table. v. Calculate the Mean for a set of data Solving problems Involving Mode, Median and Mean. Students will be able to 7 Mac– 11 Mac 5. Indices Students will be taught i. express repeated multiplication as (WEEK 10) Indices a¹ and vice versa. ii. express numbers in index notation i. verify a” X a’ = a “ ‘ Simplification of numbers in Index ii. simplify multiplication of Notation Numbers Or Algebraic Terms In Index Notation With the Same Base. 3² X 3³ = (3 X 3 ) X(3 X 3 X 3 )= 3’ 5 RPT : MATHEMATIC FORM 3 iii. simplify Multiplication Of Numbers Or Algebraic Terms Expressed In Index Notation Division Of Numbers In Indices With Different Bases. Form i. simplify the division of Numbers Or Algebraic Terms Expressed In Index Notation With The Index Expressions Raised To A same Base. Power i. Derive a"' a" ' . ii. Simplify numbers or algebraic terms expressed in index notation raised to a power. iii. Simplify multiplication and division of numbers and algebraic terms expressed in index notation raised to a power iv. Perform combined operations involving numbers and algebraic terms 12 Mac –20 SCHOOL HOLIDAY Mac 1 21 Mac– 25 Negative Integer Indices i. verifying a” = a" Mac 1 (WEEK 11) ii. stating a” as and vice versa a" iii. Compute combined operation on numbers and Algebraic Terms With Negative indices. Fractional Indices i. verifying a” = “ a stating a” as “ a and vice versa ii. finding the value of a “ iii. stating a “ 6 RPT : MATHEMATIC FORM 3 iv. Performing combined operations on numbers and algebraic terms involving fractional indices. Calculation that involves Law Of i. calculations that involves Indices. combined operations for several numbers in index notation. ii. Calculation that involves combined operations for index expressions with positive, negative and fractional indices. 28 Mac – 1 Apr 6. Algebraic expression Students will be taught Students will be able to: (WEEK 12) (iii) Expanding Brackets i. Expanding single brackets ii. Expanding two brackets Factorization i. find factors of an algebraic term ii. Find the common factors and Highest Common Factors (HCF) for several Algebraic terms. iii. Factorization Of Algebraic Expression iv. Factorizing and simplifying Algebraic Factors 7 RPT : MATHEMATIC FORM 3 6 Apr – 8 Apr Addition and Subtraction Of i. Adding or Subtracting Two (WEEK 13) Algebraic Fractions. Algebraic Fractions With similar denominators. ii. Adding or Subtracting Two Algebraic Fractions With different Denominators. Multiplication and Division Of i. Multiplying Algebraic Fractions Algebraic Fractions ii. Dividing of Algebraic Fractions iii. Multiplications and division of Algebraic Fractions Using Factorization involving Common Factors and Difference of Squares 11 Apr – 15 Apr 7. Algebraic formula Students will be taught to recognize : Students will be able to: (WEEK 14) Variables And Constants i. Determine if a Quantity is a Variable or Constant. ii. Determining And Representing A Variable iii. Determining the possible values of a variable. Formula i. Writing a formula based on statements and situations ii. Identifying The Subject Of A Given Formula iii. Express a specified variable as the subject of a formula. iv. Finding the value of a variable v. Solving problems involving formulae. 18 AprI – 22 8. Solid Students will be taught to find: Students will be able to : 8 RPT : MATHEMATIC FORM 3 Apr geometry (iii) the volume of right circular i. derive the formula for volume of (WEEK 15) cylinders and right prisms right circular cylinders and prisms. ii. Calculate the volume of a right cylinder iii. Calculating the height of a right cylinder iv. Calculate the radius of the base of a right cylinder. v. Calculate the volume of a right prism. vi. Calculate the height of a right prism vii. Calculate the base area of a right prism viii. Changing units for volume ix. Solving problems involving volume of right cylinders and right prisms. the volume of right pyramids i. derive the formula for the and right circular cones volume of pyramids and cones. ii. Calculating the volume of a right pyramid iii. calculate the height of a right pyramid iv. calculating the area of the base of a right pyramid v. calculating the volume of a right cone vi. calculating the height of a right cone vii. calculating the radius of the base of a right cone viii. solving problems that involve volumes of a right pyramids 9 RPT : MATHEMATIC FORM 3 and right cones. 25 Apr –29 Apr Students will be taught to perform: Students will be able to : (WEEK 16) The volume of a sphere i. Calculating the volume of a sphere ii. Calculating the radius of a Composite solids sphere. iii. Solving problems that involve of sphere. i. calculating the volume of composite solids. Solving problems involving volume of composite solids. 2 Mei – 6 Mei ( WEEK 17) MID-YEAR EXAMINATION 9 Mei – 13 Mei ( WEEK 18) 16 Mei – 20 Mei 9. Scalle drawings Students will be taught to recognize : Students will be able to : (WEEK 19) Scale drawings i. Sketching shapes ii. Drawing geometric shapes according to scale 1 : n iii. Drawing composite shapes according to scales. iv. Drawing composite shapes according to given scales on grids of different sizes. v. Redrawing shapes on grids of different sizes Solving problems involving scales drawings 23 Mei – 27 Mei 10. Transformations (ii) Students will be taught to : Students will be able to : (WEEK 20) Similarity of shapes i. Writing similarity of shapes 10 RPT : MATHEMATIC FORM 3 ii. Calculating the length of unknown sides of two similar shapes. Enlargement i. identifying an enlargement ii. finding the scale factor iii. determining the centre of enlargement iv. determining the properties of enlargement v. calculating the scale factor and length of the sides of an image or object. vi. Determining the relationship between the area of the image and its object vii. Calculating the area of an image or object and scale factor Solving problems involving enlargement 28 Mei – 12 Jun SCHOOL HOLIDAY 13 Jun – 17 Jun 11. Linear Students will be taught to: Students will able to : (WEEK 21) equations (ii) i. Identifying linear equations in Linear equations in two two variables variables ii. Deriving a linear equation in two variables iii. Determining the value of a variable iv. Determining a possible solutions for a linear equation in two variables Simultaneous linear equations i. identifying simultaneous linear in two variables. equations ii. solving simultaneous linear equations in two variables 11 RPT : MATHEMATIC FORM 3 iii. solving problems involving simultaneous linear equations in two variables. 20 Jun – 24 Jun 12. Linear Students will be taught to : Students will be able to : (WEEK 22) inequalities write inequalities i. relationship of the “greater than” and “less than” ii. expressing the relationship between two number iii. the relationship of “Greater than or equal to” and “Less than or equal to” Linear inequalities in i. identifying linear inequalities one unknown ii. determining possible solutions for an unknown iii. representing a linear equation on a number line and vice versa iv. forming a linear inequality Performing operations + i. addition and subtraction on a , - , X and ÷ on a linear linear inequality inequality ii. multiplication and division on a linear inequality iii. forming linear inequalities Simultaneous linear i. representing the common values inequalities in one of two linear inequalities on a variable. number line. ii. Determining the equivalent inequalities for two linear inequalities iii. Solving two simultaneous linear inequalities 27 Jun –30 Jun 13. Graphs of Students will be taught to derive : Students will be able to : (WEEK 23) functions Functions i. relationship between two 12 RPT : MATHEMATIC FORM 3 variables ii. dependent variable and independent variable iii. calculating the value of a dependent variable Graphs of Functions i. constructing a table of values ii. drawing a graph of functions iii. determining the values of variables from a graph iv. solving problems involving graphs of functions 4 Jul –8 Julai 14. Ratios, rates Students will be taught to Students will be able to : (WEEK 24) and proportions rate i. determining rate and the two (ii) qualities involved ii. calculating rates iii. calculating certain qualities iv. changing units for rates v. solving problems involving rates speed i. two qualities for speed ii. calculating and interpreting speed iii. calculating the distance and the time for speed iv. changing the units of speed v. differentiating between uniform speed and non- uniform speed 11 Jul –15 Julai average speed i. calculating the average speed (WEEK 25) ii. calculating the distance and the time for average speed iii. solving problems involving speed and average speed. acceleration i. two qualities for acceleration 13 RPT : MATHEMATIC FORM 3 ii. calculating and interpreting acceleration 18 Jul –22 Julai 15. Trigonometry Students will be taught to Students will be able to : (WEEK 26) tangent of an acute angle in a i. identifying the hypotenuse, right-angled triangle opposite side and adjacent side ii. determining the tangent of an angle iii. calculating the tangent of an angle sine of an acute angle in a right- iv. calculating the length of sides of angled triangle a triangle i. determining the sine of an angle ii. calculating the side of an angle cosine of an acute angle in a iii. calculating the length of sides of right- angled triangle a triangle i. determining cosine of an angle ii. calculating the cosine of an angle iii. calculating the length of sides of a triangle 25 Jul– 19 Ogos REVISION WEEK (WEEK 27 & 30) 22 Ogos- 26 Ogos PMR TRIAL ( STATE LEVEL ) (WEEK 31) 27 Ogos -4 SCHOOL HOLIDAY Sept 5 Sept -30 Sept (WEEK 32 – REVISION WEEK 35) 14 RPT : MATHEMATIC FORM 3 3 OKT – 7 OKT ( WEEK 36) PEPERIKSAAN PENILAIAN MENENGAH RENDAH 2011 10 Okt -18 Nov (WEEK 37 – ACTIVITIES AFTER PMR 41) DISEDIAKAN OLEH; DISAHKAN OLEH, ................................................. .............................................. (PN. JURIAH BT. MD.TALIB ) (EN.ZULKIFFLI BIN ISMAIL) Ketua Panitia Matematik Menengah Rendah, Pengetua, SMK. Dato’ Sri Amar DiRaja, Muar, Johor. SMK. Dato’ Sri Amar DiRaja, Muar, Johor. 15

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