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    Ytpf3bi shell Ytpf3bi shell Document Transcript

    • SSN SEKOLAH MENENGAH KEBANGSAAN SERI KOTA, MELAKA Mathematics Form 3 YEARLY TEACHING PLAN 2013 Syllabus Week CCTS Learning Areas Learning Outcomes Chapter 1 Lines and Angles II 1.1 Understand and use i. Identify ∙ Interpreting properties of angles (a) transversals ∙ Identifying relations associated with transversal (b) corresponding angles ∙ Making inferences 1 and parallel lines (c) alternate angles ∙ Translating (02 – (d) interior angles04/01/2013) ii. Determine that for parallel lines : (a) corresponding angles are equal & (b) alternate angles are equal (c) sum of interior angles is 180°. 2 iii. Find the values of : (07 – (a) corresponding angles11/01/2013) (b) alternate angles (c) interior angles associated with parallel lines iv. Determine if two given lines are parallel based on the properties of angles associated with transversals. v. Solve problems involving properties of angles associated with transversals. Chapter 2. Polygons II 2.1 Understand the concept of i. Determine if a given polygon is a regular polygon. ∙ Classifying regular polygons ii. Find ∙ Drawing diagrams (a) the axes of symmetry ∙ Comparing and (b) the number of axes of symmetry of a polygon. contrasting iii. Sketch regular polygons. ∙ Identifying relations iv. Draw regular polygons by dividing equally the angle ∙ Translating at the centre. 3 v. Construct equilateral triangles, squares and regular (14 –18/01/2013) hexagons. 2.2 Understand and use the i. Identify the interior angles and exterior angles of a 26/01/2013 GANTI CUTI TAHUN BARU & knowledge of exterior and polygon. CINA 14/02/2013 (KHAMIS) interior angles of polygons ii. Find the size of an exterior angle when the interior 4 angle of a polygon is given and vice versa. (21– iii. Determine the sum of the interior angles of polygons.26/01/2013) iv. Determine the sum of the exterior of polygons. 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. MAULIDUR RASUL (24/01/2013) Chapter 3Circles II 3.1 Understand and use i. Identify a diameter of a circle as an axis of ∙ Identifying relations properties of circles symmetry. ∙ Translating 5 involving symmetry, ii. Determine that : ∙ Classifying (28/01 – chords and arcs. (a) a radius that is perpendicular to a chord divides ∙ Comparing and01/02/2013) the chord into two equal parts and vice versa. contrasting (b) perpendicular bisectors of two chords intersect at thecentre. (c) two chords that are equal in length are equidistant from the centre and vice versa. (d) chords of the same length cut arcs of the same length. iii. Solve problems involving symmetry, chords and arcs of circle. 1PN SHALEYATI HJ MOHAMED SSN SMK SERI KOTA, MELAKA
    • SSN SEKOLAH MENENGAH KEBANGSAAN SERI KOTA, MELAKA Mathematics Form 3 Syllabus Week CCTS Learning Areas Learning Outcomes 3.2 Understand and use i. Identify angles subtended by an arc at the centre and properties of angles in at the circumference of a circle. circles ii. Determine that angles subtended at the circumference by the same arc are equal. iii. Determine that angles subtended : & (a) at the circumference (b) at the centre by arcs of the same length are equal iv. Determine the relationship between angle at the centre 6 and angle at the circumference subtended by an arc. (04 – v. Determine the size of an angle subtended at the08/02/2013) circumference in a semicircle. vi. Solve problems involving angles subtended at the centre and angles at the circumference of circles. 3.3 Understand and use the i. Identify cyclic quadrilaterals. concept of cyclic ii. Identify the interior opposite angles of cyclic quadrilaterals quadrilaterals. iii. Determine the relationship between interior opposite angles of cyclic quadrilaterals. iv. Identify exterior angles and the corresponding interior opposite angle of cyclic quadrilaterals. v. Determine the relationship between exterior angles and the corresponding interior opposite angle of cyclic quadrilateral. vi. Solve problems involving angles of cyclic quadrilaterals. vii. Solve problems involving circles. 7 (11 – CHINESE NEW YEAR HOLIDAYS15/02/2013) 10/02/2013 – 15/02/2013 Chapter 4. Statistics II 4.1 Represent and interpret i. Obtain and interpret information from pie chart. ∙ Drawing diagrams data in pie chart to solve ii. Construct pie chart to represent data. ∙ Interpreting problems. iii. Solve problems involving pie charts. ∙ Translating iv. Determine suitable representation of data. ∙ Comparing and 4.2 Understand and use the i. Determine the mode of : contrasting 8 concept of mode, median (a) sets of data. ∙ Problem solving and mean to solve (b) data given in frequency tables. (18 – problems. ii. Determine the mode and the respective frequency22/02/2013) from the pictograph, bar chart, line graph and pie charts. iii. Determine the median for sets of data. iv. Determine the median of data in frequency tables. v. Calculate the mean of : (a) sets of data (b) data in frequency tables. vi. Solve problems involving mode, median and mean. Chapter 5 Indices n i. Express repeated multiplication as a and vice 5.1 Understand the concept of ∙ Working out versa. indices. mentally n ii. Find the value of a . iii. Express numbers in index notation. m n m n 9 i. Verify a a a (25/2 - 5.2 Perform computations ii. Simplify multiplication of01/03/2013) involving multiplication of (a) numbers numbers in index notation. (b) algebraic terms expressed in index notation with the same base. iii. Simplify multiplication of (a) numbers (b) algebraic terms expressed in index notation with different bases. 2PN SHALEYATI HJ MOHAMED SSN SMK SERI KOTA, MELAKA
    • SSN SEKOLAH MENENGAH KEBANGSAAN SERI KOTA, MELAKA Mathematics Form 3 Syllabus Week CCTS Learning Areas Learning Outcomes 5.3 Perform computation m n m n i. Verify a a =a involving division of numbers in index notation. ii. Simplify division of : (a) numbers (b) algebraic terms expressed in index notation with the same base. 5.4 Perform computations m n mn i. Derive ( a ) a . involving raising numbers and algebraic terms in ii. Simplify: index notation to a power. (a) numbers (b) algebraic terms expressed in index notation raised to a power. iii. Simplify multiplication and division of: ( a) numbers (b) algebraic terms expressed in index notation with different bases raised to a power. iv. Perform combined operation involving multiplication, division and raised to a power on : (a) numbers (b) algebraic terms. 5.5 Perform computations 1 n involving negative i. Verify a . n indices. a 10 n 1 ii. State a as n and vice versa. (04 - a08/03/2013) iii. Perform combined operation of multiplication, & division and raising to a power involving negative indices on : (a) numbers (b) algebraic terms 12 5.6 Perform computations 1 (18 – involving fractional n n22/03/2013) i. Verify a a . indices 1 n n ii. State a as a and vice versa. 1 n iii. Find the value of a . m n iv. State a as: 1 1 m m (a) ( a ) n or ( a n ) . n m m (b) a or ( n a ) . v. Perform combined operation of multiplications division and raising to a power involving fractional indices on (a) numbers (b) algebraic terms m vi. Find the value of a n . 5.7 Perform computation i. Perform multiplication ,division, raised to a power / involving laws of indices combination of these operations on several numbers expressed in index notation. ii. Perform combined operations of multiplication, division and raised to a power involving positive, negative and fractional indices. MONTHLY TEST 1 MID-SEMESTER SCHOOL HOLIDAY 1 (23/03/2013 – 31/03/2013) 3PN SHALEYATI HJ MOHAMED SSN SMK SERI KOTA, MELAKA
    • SSN SEKOLAH MENENGAH KEBANGSAAN SERI KOTA, MELAKA Mathematics Form 3 Syllabus Week CCTS Learning Areas Learning Outcomes Chapter 6. Algebraic Expressions III 6.1 Understand and use the i. Expand single brackets. ∙ Identifying relations concept of expanding ii. Expand two brackets brackets. 6.2 Understand and use the i. State factors of an algebraic term. concept of factorisation of ii. State common factors and the HCF for several algebraic expression to algebraic terms. solve problems. iii. Factorise algebraic expression: (a) using common factor (b) the difference of two squares 13 iv. Factorise and simplify algebraic fractions (01- 6.3 Perform addition and i. Add or subtract two algebraic fractions with the 05/4/2013) subtraction one algebraic same denominator. fraction. ii. Add or subtract two algebraic fractions with one & denominator as a multiple of the other denominator. iii. Add or subtract two algebraic fractions with 14 denominators: (08 – (a) without any common factor 12/4/2013) (b) with a common factor. 6.4 Perform multiplication i. Multiply two algebraic fractions involving and division on algebraic denominator with fractions (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 two algebraic fractions using factorisation involving common factors and the difference of two squares. Chapter 7 Algebraic Formulae 7.1 Understand the concept of i. Determine if a quantity in a given situations is a ∙ Identifying relations variables and constants variable or a constant. ∙ Evaluating ii. Determine the variable in a given situation and ∙ Translating represent it with a letter symbol. iii. Determine the possible values of a variable in a given situations. 7.2 Understand the concept i. Write a formula based on a given : of formulae to solve (a) statement 15 problems. (b) situation (15 – ii. Identify the subject of given formula. 19/4/13) iii. Express a specified variable as the subject of a formula involving; (a) one of the basic operations (b) power of roots (c) Combination of the basic operations and powers or roots iv. Find the value of a variable when it is : (a) the subject of the formula (b) not the subject of the formula v. Solve problems involving formulae. 4PN SHALEYATI HJ MOHAMED SSN SMK SERI KOTA, MELAKA
    • SSN SEKOLAH MENENGAH KEBANGSAAN SERI KOTA, MELAKA Mathematics Form 3 Syllabus Week CCTS Learning Areas Learning Outcomes Chapter 8 Solid Geometry 8.1 Understand and use the i. Derive the formula for volume of: ∙ Identifying relations concept of volume of right (a) prisms ∙ Translating prisms and right circular (b) cylinders cylinders to solve ii. Calculate the volume of a right prism in cubic units problems. given the height and: (a) the area of the base (b) dimensions of the base. iii. Calculate the height of a prism given the volume and the area of the base. iv. Calculate the area of the base of a prism given the volume and the height. v. Calculate the volume of a cylinder in cubic units given: (a) area of the base and the height. (b) radius of the base and the height of the cylinder. vi. Calculate the height of a cylinder, given the volume and the radius of the base. vii. Calculate the radius of the base of a cylinder given the volume and the height. viii. Convert the volume in one metric unit to another: (a) mm³, cm³ and m³ 16 (b) cm³ ,ml and l. (22 – ix. Calculate volume of liquid in a container. 26/4/13) x. Solve problems involving volume of prisms and cylinders. & 8.2 Understand and use the i. Derive the formula for the volume of : concept of volume of right (a) pyramids (17 pyramids and right (b) cones 29/4 – 03/5/13) circular cones to solve ii. calculate the volume of pyramids in mm³, cm³ and: problems (a) area of the base (b) dimensions of base. iii. Calculate the height of a pyramid given the volume and the dimension of the base. iv. Calculate the area of the base of a pyramid given the volume and the height v. Calculate the volume of a cone in mm³, cm³ and m³, given the height and radius of the base. 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 vii. Solve the problems involving volume of pyramids and cones. 8.3 Understand and use the i. Calculate the volume of the sphere given the radius concept of volume of of the sphere. sphere to solve problems. ii. Calculate the radius of a sphere given the volume of the sphere. iii. Solve problems involving volume of spheres. 8.4 Apply the concept of i. Calculate the volume of composite solids. volume to solve problems ii. solve problems involving volumes of composite involving composite solids solids. LABOUR DAY (01/05/2013) 5PN SHALEYATI HJ MOHAMED SSN SMK SERI KOTA, MELAKA
    • SSN SEKOLAH MENENGAH KEBANGSAAN SERI KOTA, MELAKA Mathematics Form 3 Syllabus Week CCTS Learning Areas Learning Outcomes Chapter 9 Scale Drawings 9.1 Understand the concept of i. Sketch shapes: ∙ Drawing diagrams scale drawings. (a) of the same size as the object. ∙ Problem-solving (b) smaller than the object. ∙ Translating (c) larger than the object using grid papers. ii. Draw geometric shapes according to scale 1: n, 18 where n = 1, 2, 3, 4, 5, ½ , 1/10 (06 -10/5/2013) iii. Draw composite shapes, according to a given scale using (a) grid papers (b) blank papers iv. Redraw shapes on grids of different sizes. v. Solve problems involving scale drawings 19 (13 -17/05/2013) & MID-YEAR EXAMINATION 20 13 MAY 2013 – 24 MAY 2013 (20-24/05/2013) MID-YEAR SCHOOL HOLIDAY (25 MEI 2013– 09 JUN 2013) Chapter 10 Transformations II 10.1 Understand and use the i. Identify if given shapes are similar. ∙ Classifying concept of similarity. ii.Calculate the lengths of unknown sides of two ∙ Identifying relations similar shapes. ∙ Interpreting 10.2 Understand and use the i. Identify an enlargement. ∙ Drawing diagrams concept of enlargement ii. Find the scale factor, given the object and its ∙ Translating image of an enlargement when (a) scale factor > 0 (b) scale factor < 0 iii. Determine the centre of enlargement , given the object and its image. iv. Determine the image of an object given the centre 21 (10 - of enlargement and the scale factor.14/06/2013) v. Determine the properties of enlargement. vi. Calculate: (a) the scale factor (b) lengths of the side of the image (c) length of the side of the object of an enlargement. vii. Determine the relationship between the area of the image and its object. viii. Calculate the : (a) area of image (b) area of object (c) scale factor of an enlargement. ix. Solve problems involving enlargement. Chapter 11 Linear Equation II 11.1 Understand and use the i. Determine if an equation is a linear equation in ∙ Classifying 22 concept of linear two variables. ∙ Translating (17 – equation in two ii. Write linear equations in two variables from given ∙ Identifying relations21/06/2013) variables. information. iii. Determine the value of a variable given the other variables. iv. Determine the possible solutions for a linear equation in two variables. 6PN SHALEYATI HJ MOHAMED SSN SMK SERI KOTA, MELAKA
    • SSN SEKOLAH MENENGAH KEBANGSAAN SERI KOTA, MELAKA Mathematics Form 3 Syllabus Week CCTS Learning Areas Learning Outcomes 11.2 Understand and use the i. Determine if two given equations simultaneous concept of two linear equations. simultaneous linear ii. Solve two simultaneous linear equations in two 23 equations in two variables by (24 – 28/6/13) variables to solve (a) substitution problems. (b) elimination iii. Solve problems involving two simultaneous linear equations in two variables Chapter 12 Linear Inequalities 12.1 Understand and use the i. Identify the relationship: ∙ Identifying relations concept of inequalities. (a) greater than ∙ Comparing and (b) less than Contrasting based on given situations. ∙ Translating ii. Write the relationship between two given numbers ∙ Interpreting using the symbol “>” or “<”. ∙ Finding all possible iii. Identify the relationship : solutions (a) greater than or equal to ∙ Drawing diagrams (b) less than or equal to based on given situations. 12.2 Understand and use the i. Determine if a given relationship is a linear concept of linear inequality. inequalities in one ii. Determine the possible solutions for a given linear unknown inequality in one unknown: (a) x>h, (b) x<h, (c) x h, (d) x h. 24 (01 – iii. Represent a linear inequality: 05/7/13) (a) x>h, (b) x<h, & (c) x h , (d) x h . 25 on a number line and vice versa. (08 – iv. Construct linear inequality using symbol:12/07/2013) (a) “>” or “<” (b) “ ” or “ ” from given information. 12.3 Perform computations ii. State a new inequality for a given inequality when a involving addition, number is: subtraction, a) added to multiplication and b) subtracted from division on inequalities. both sides of the inequalities. iii. State a new inequality for a given when a both sides of the inequalities are: a) multiplied by a number b) divided by a number. iv. Construct inequalities (a) x k m k (b) x k m k (c) kx km x m (d) k k from given information. 7PN SHALEYATI HJ MOHAMED SSN SMK SERI KOTA, MELAKA
    • SSN SEKOLAH MENENGAH KEBANGSAAN SERI KOTA, MELAKA Mathematics Form 3 Syllabus Week CCTS Learning Areas Learning Outcomes 12.4 Perform computations to i. Solve a linear inequality by: solve inequalities in one (a) adding a number variable. (b) subtracting a number on both sides of the inequality ii. Solve a linear inequality by : (a) multiplying a number (b) dividing a number on both sides of the inequality iii. Solve linear inequalities in one variable using a combination of operations. 12.5 Understand the concept i. Represent the common values of two simultaneous of simultaneous linear linear inequalities on a number line. inequalities in one ii. Determine the equivalent inequalities for two given variable linear inequalities. iii. Solve two simultaneous linear inequalities. Chapter 13 Graphs of Functions 13.1 Understand and use the i. State the relationship between two variables based on ∙ Translating concept of functions the given information. ∙ Classifying ii. Identify the dependent and independent variables in a ∙ Identifying relations given relationship involving two variables. ∙ Drawing diagrams 26 iii. Calculate the value of the dependent variable, given ∙ Interpreting (15 –19/07/2013) the value of the independent variable. 13.2 Draw and use graphs of i. Construct tables of values for given functions. Functions ii. Draw graphs of functions using given scale. iii. Determine from the graph the value of y, given value of x and vice versa. iv. Solve problems involving graphs of functions. Chapter 14 Ratios, Rates & Proportions II 14.1 Understand the concept i. Determine the rates involved in given situations and ∙ Translating of rate and perform identify the two quantities involved. ∙ Identifying relations computations involving ii. Calculate the rate given two different quantities rates iii. Calculate a certain quantity given the rate and the other quantity. iv. Convert rates from one unit of measurement to another v. Solve problems involving rates 14.2 Understand and use the i. Identify the two quantities involved in speed. concept of speed. ii. Calculate and interpret speed. iii. Calculate : (a) the distance, given the speed and the time. 27 (b) the time, given the speed and the distance. (22 – iv. Convert speed from one unit of measurement to26/07/2013) another. v. Differentiate between uniform speed and non – uniform speed. 14.3 Understand and use the i. Calculate the average speed in various situations. concept of average speed ii. Calculate: (a) the distance, given the average speed and the time. (b) the time, given the average speed and the distance iii. Solve problem involving speed and average speed 14.4 Understand and use the i. Identify the two quantities involved in acceleration. concept of acceleration ii. Calculate and interpret acceleration. NUZUL AL-QURAN ( 26 JULY 2013 ) 8PN SHALEYATI HJ MOHAMED SSN SMK SERI KOTA, MELAKA
    • SSN SEKOLAH MENENGAH KEBANGSAAN SERI KOTA, MELAKA Mathematics Form 3 Syllabus Week CCTS Learning Areas Learning Outcomes 28(29/07/2013 MONTHLY TEST 2 – 29 JULY 2013 – 02 AUGUST 201302/08/2013) Chapter 15 Trigonometry i. Identify the: 15.1 Understand and use (a) hypotenuse ∙ Identifying relations tangent of an acute angle (b) the opposite side and the adjacent side with ∙ Translating in a right-angled triangle. respect to one of the acute angles. ii. Determine the tangent of an angle. iii. Calculate the tangent of an angle given the lengths of sides of the triangle. iv. Calculate the lengths of sides of a triangle given the value of tangent and the length of another side. 15.2 Understand and use sine i.Determine the sine of an angle. of an acute angle in a ii. Calculate the sine of an angle given the lengths of right-angled triangle. sides of the triangle. 29 (05 – iii. Calculate the lengths of sides of a triangle given the06/08/2013) value of sine and the length of another side 15.3 Understand and use i. Determine the cosine of an angle. & cosine of an acute angle ii. Calculate the cosine of an angle given the lengths of in a right-angled triangle. sides of the triangle. 30 iii. Calculate the lengths of sides of a triangle given the (19 – value of cosine and the length of another side23/08/2013) 15.4 Use the values of i. Calculate the value of other trigonometric ratios tangent, sine and cosine giventhe value of a trigonometric ratio. to solve problem. ii. Convert the measurement of angles from: (a) degrees to degrees and minutes. (b) degrees and minutes to degrees. iii. Find the value of (a) tangent(b) sine(c) cosine of 300, 450 and 600 without using 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. PMR TRIAL EXAM (29/07/2013 – 02/08/2013) MID-SEMESTER SCHOOL HOLIDAY 2 (07 AUGUST 2013 – 18 AUGUST 2013) HARI RAYA AIDIL FITRI (08 AUGUST 2013 – 09 AUGUST 2013) FORM 3 ICC/ GERAK GEMPUR (17/09/2013 -27/09/2013) PMR (16 – 22/10/2013) PROGRAMME AFTER PMR (23/10/2013 - 15/11/2013) SCHOOL HOLIDAY (16 NOV 2013 – 01 JAN 2014)Prepared by,…………………………..Pn Shaleyati Hj Mohamed 9PN SHALEYATI HJ MOHAMED SSN SMK SERI KOTA, MELAKA