matematik

Rancangan pelajaran tahunan 2012 tg 3

YEARLY LESSON  PLAN (2012) FORM 3 MATHEMATICS
WEEK	LEARNING OBJECTIVE	LEARNING OUTCOME	CCTS	IMPLEMENTATION DATE (Give reason if late)
1 - 2 (4 – 13 Jan)	Chapter 1: Lines and Angles II 1.1 Understand and use properties of angles associated with transversal and parallel lines	Students will be able to: i.        Identify transversals, corresponding angles, alternate angles and interior angles. ii.      Determine that for parallel lines: a. corresponding angles are equal b.alternate angles are equal c. sum of interior angles is 180°. iii.    Find the values of: a. corresponding angles 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.	Interpreting Identifying relations Making inferences translating
3 (16 – 20 Jan)	Chapter 2: Polygons II 2.1 Understand the concept of regular polygons 2.2 Understand and use the knowledge of exterior and interior angles of polygons	Students will be able to: Determine if a given polygon is a regular polygon. Find: the axis of symmetry the number of axis of symmetry of a polygon Sketch regular polygons. Draw regular polygons by dividing equally the angle at the centre. Construct equilateral triangles, squares and regular hexagons. i.        Identify the interior angles and exterior angles of a polygon. ii.      Find the size of an interior angle when the interior angle of a polygon is given and vice versa. iii.    Find the sum of interior angles of polygons iv.    Find: the size of an interior angle of a regular polygon given the number of sides. the size of an exterior angle of a regular polygon given the number of sides. the number of sides of a regular polygon given the size of the interior or exterior angle v.   Solve problems involving angles and sides of polygons.	Classifying Drawing diagrams Comparing and contrasting Identifying Relations Translating
4 (23 – 29 Jan)	CUTI TAHUN BARU CINA
5 - 6 (30 Jan – 11 Feb)	Chapter 3: Circles 3.1 Understand and use properties of circles involving symmetry, chords and arcs. 3.2 Understand and use properties of angles in circles. 3.3 Understand and use the concept of cyclic quadrilaterals	Students will be able to: i.        Identify a diameter of a circle and axis of symmetry. ii.      Determine that: a radius that is perpendicular to a chord divides the chord into two equal parts and vice versa. Perpendicular bisectors of two chords intersect at the centre. Two chords that are equal in length are equidistant from the centre and vice versa. Chords of the same length cut arcs of the same length. iii.    Solve problems involving symmetry, chords and arcs of circles. i.        Identify angles subtended at the circumference by the same arc are equal. ii.      Determine that angles subtended at the circumference by the same arc are equal. iii.    Determine that angles subtended: at the circumference at the centre by arcs of the same length are equal. iv.    Determine the relationship between angle at the centre 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 centre and angles at the circumference of circles. i.        Identify cyclic quadrilaterals. ii.      Identify the interior opposite angles of cyclic quadrilaterals. iii.    Determine the relationship between interior opposite angles of cyclic quadrilaterals. iv.    Identify exterior angles and the corresponding interior opposite angles of cyclic quadrilaterals. v.      Determine the relationship between exterior angles and the corresponding interior angles of cyclic quadrilaterals. vi.    Solve problems involving angles of cyclic quadrilaterals. vii.  Solve problems involving circles.	Drawing diagrams Identifying relations Translating Classifying Comparing and contrasting
7 - 8 (13 – 24 Feb)	Chapter 4: Statistics II 4.1 Represent and interpret data in pie chart to solve problems. 4.2 Understand and use the concept of mode, median and mean to solve problems	Students will be able to: i.        Construct pie charts to represent data. ii.      Obtain and interpret information from pie charts. iii.    Solve problems involving pie charts. iv.    Determine suitable representation of data. i.        Determine the mode of: sets of data data given in frequency tables ii.      Determine the mode and the respective frequency from pictographs, bar charts, line graphs 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: sets of data data in frequency tables v.      Solve problems involving mode, median, and mean.	Drawing diagrams Identifying relations Translating Classifying Comparing and contrasting
9 – 10 (27 Feb – 9 Mac)	Chapter 5: Indices 5.1 Understand the concept of indices 5.2 Perform computations involving multiplication of numbers in index notation 5.3 Perform computations involving division of numbers in index notation 5.4 Perform computations involving raising numbers and algebraic terms in index notation to a power 5.5 Perform computations involving negative indices 5.6 Perform computations involving fractional indices 5.7 Perform computations involving laws of indices	Students will be able to: i.        Express repeated multiplication as an and vice versa. ii.      Find the value of an. iii.    Express numbers in index notation. i.        Verify am x an = am+n. ii.      Simplify multiplication of: a.   numbers b.   algebraic terms expressed in index notation with different base. i.        Verify am ¸ an = am-n ii.      Simplify division of: a.   numbers b.   algebraic terms expressed in index notation with the same base. i.        Derive (am)n = amn ii.      Simplify: numbers algebraic terms expressed in index notation raised to a power. iii.    Simplify multiplication and division of: numbers algebraic terms expressed in index notation with different basses raised to a power iv.    Perform combined operations involving multiplication, division and raised to a power on numbers and algebraic terms. i.        Verify a-n = 1/an ii.      State a-n as 1/an and vise versa iii.    Perform combined operations of multiplication, division and raising to power involving negative indices on numbers and algebraic terms i.        Verify a1/n = nÖa ii.      State a1/n as nÖa iii.    Find the value of a1/n iv.    State am/n as: (am)1/n or (a1/n)m nÖam or (nÖa)m v.      Perform combined operations of multiplications, divisions and raising to a power involving fractional indices on numbers and algebraic terms. vi.    Find the value of am/n i.        Perform multiplication, division  raised to a power or 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.
CUTI PERTENGAHAN PENGGAL 10 MAC –18 MAC
11 (19 – 23 Mac)	Chapter 6: Algebraic Expressions III 6.1 Understand and use the concept of expanding brackets 6.2 Understand and use the concept of factorization of algebraic expression to solve problems 6.3 Perform addition and subtraction on algebraic fractions 6.4 Perform multiplication and division on algebraic fractions	Students will be able to: i.        Expand single bracket. ii.      Expand two brackets. i.        State factors of an algebraic term. ii.      State common factors and the HCF for several algebraic terms. iii.    Factorise algebraic expression: using common factor the difference of two squares iv.    Factorise and simplify algebraic fractions. i.        Add or subtract two algebraic fractions with the same denominator. 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 denominators: without any common factor with a common factor i.        Multiply two algebraic fractions involving denominator with: one term two terms ii.      Divide two algebraic fractions involving denominator with: one term two terms iii.    Perform multiplication and division of two algebraic fractions using factorization involving common factors and the different of two squares.	Identifying relations
12 (27 – 30 Mac)	UJIAN BULANAN 1
13 (2 – 6 Apr)	Chapter 7: Algebraic Formulae 7.1 Understand the concept of variables and constants 7.2 Understand the concept of formulae to solve problems	Students will be able to: i.        Determine if the quantity in a given situation is a variable or a constant. ii.      Determine the variable in a given situation and represent it with a letter symbol. iii.    Determine the possible values of a variable in a given situation. i.        Write a formula based on a given: statement situation ii.      Identify the subject of a given formula. iii.    Express a specified variable as the subject of a formula involving: one of the basic operations: +,-, x, ¸ power or roots combination of the basic operations and powers or roots iv.    Find the value of variable when it is: the subject of the formula not the subject of the formula v.      Solve problems involving formulae.	Identifying relations Translating
14 – 15 (9 – 20 Apr)	Chapter 8: Solid Geometry III 8.1 Understand and use the concept of volume of right circular cylinders and right prisms to solve problems 8.2 Understand and use the concept of volume of right pyramids and right circular cones to solve problems 8.3 Understand and use the concept of volume of sphere to solve problems 8.4 Apply the concept of volume to solve problems involving composite solids	Students will be able to: i.        Derive the formula for volume of: cylinders prisms ii.      Calculate the volume of cylinder in cubic units given: area of the base and  height radius of the base and the height of the cylinder iii.    Calculate the height of a cylinder, given the volume and the radius of the base. iv.    Calculate the radius of the base of a cylinder given the volume and the height. v.      Calculate the volume of right prism in cubic unit given the height and: the area of the base dimensions of the base vi.    Calculate the height of a prism given the volume and the area of the base. vii.  Calculate the area of the base of a prism given the volume and the height. viii.Convert volume in one metric unit to another: mm3, cm3 and m3 cm3, ml and l ix.    Calculate volume of liquid in a container. x.      Solve problems involving volume of cylinders and prisms. i.        Derive the formula for the volume of: pyramids cones ii.      Calculate the volume of pyramids in mm3, cm3 and m3, given the height and: area of the base 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 radius of the base of a cone given the volume and the height. vii.  Solve problems involving volume of pyramids and cones. i.        Calculate the volume of a sphere given the radius of the sphere. ii.      Calculate the radius of a sphere given the volume of the sphere. iii.    Solve problems involving volumes of sphere. i.        Calculate the volume of composite solids. ii.      Solve problems involving volumes of composite solids.
16 (23 – 27 Apr)	Chapter 9: Scale Drawings 9.1 Understand the concept of scale drawings	Students will be able to: i.        Sketch shapes: of the same size as the object smaller than the object larger than the object using grid papers ii.Draw geometric shapes, according to scale 1:n, where n=1,2,3,4,5,1/2,1/10. iii.    Draw composite shapes, according to a given scale using: grid papers blank papers iv.    Draw composite shapes according to a given scale using grids of different size. v.      Redraw shapes on grids of different sizes. vi.    Solve problems involving scale drawings.
17 (30 Apr – 4 Mei)	Chapter 10: Transformation II 10.1 Understand and use the concept of similarity 10.2 Understand and use the concept of enlargement.	Students will be able to: i.        Identify if given shapes are similar. ii.      Calculate the lengths of unknown sides of two similar shapes. i.        Identify an enlargement. ii.      Find the scale factor, given the object and its image of an enlargement when: scale factor > 0 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 of enlargement and the scale factor. v.      Determine the properties of enlargement. vi.    Calculate: the scale factor lengths of the side of the image lengths 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: area of image area of object scale factor , of an enlargement. ix.    Solve problems involving enlargement.	Classifying Identifying relations Interpreting Drawing diagrams Translating
18 – 20 (7 – 25 Mei)	PEPERIKSAAN PERTENGAHAN TAHUN
CUTI PERTENGAHAN PENGGAL 26 MEI – 10 JUN
21 (11 – 15 Mei)	Chapter 11: Linear Equations II 11.1 Understand and use the concept of linear equations in two variables 11.2 Understand and use the concept of two simultaneous linear equations in two variables to solve problems	Students will be able to: i.        Determine if an equation is a linear equation in two variables. ii.      Write linear equations in two variables from given information. iii.    Determine the value of a variable given the other variables. iv.    Determine the possible solutions for a linear equation in two variables. i.        Determine if two given equations are simultaneous linear equations. ii.      Solve two simultaneous linear equations in two variables by: substitution elimination iii.    Solve problems involving two simultaneous linear equations in two variables.	Classifying Translating Identifying relations
22 (19 – 22 Mei)	Chapter 12: Linear Inequalities 12.1 Understand and use the concept of inequalities 12.2 Understand and use the concept of linear inequalities in one unknown 12.3 Perform computations involving addition, subtraction, multiplication and division on inequalities 12.4 Perform computations to solve inequalities in one variable 12.5 Understand the concept of simultaneous linear inequalities in one variable	Students will be able to: i.        Identify the relationship: greater than less than based on given situations ii.      Write the relationship between two given numbers using the symbol “>” or “<”. iii.    Identify the relationship: greater than or equal to less than or equal to based on given situations. i.        Determine if a given relationship is a linear inequality. ii.      Determine the possible solutions for a given linear inequality in one unknown: x > h x < h x ≥ h x ≤ h iii.    Represent a linear inequality: x > h x < h x ≥ h x ≤ h iv.    Construct linear inequalities using symbols: “>” or “<” “≤” or “≥” , from given information. i.        State a new inequality for a given inequality when a number is: added to subtracted from , on both sides of the inequalities. ii.      State a new inequality  for a given inequality when both sides of the inequalities are: multiplied by a number divided by a number iii.    Construct inequalities x+k > m+k x-k > m-k kx > km x/k > m/k ,  from given information. i.        Solve a linear inequality by: adding a number subtracting a number on both sides of the inequality. ii.      Solve a linear inequality by: multiplying a number dividing a number , on both sides of the inequality. iii.    Solve linear inequalities in one variable using a combination of operations. i.        Represent the common values of two simultaneous linear inequalities on a number line. ii.      Determine the equivalent inequalities for two given linear inequalities. iii.    Solve two simultaneous linear inequalities.	Identifying relations Comparing and contrasting Translating Interpreting Finding all possible solutions Drawing diagrams
23 (25 - 29 Jun)	Chapter 13: Graphs of Function 13.1 Understand and use the concept of functions 13.2 Draw and use graphs of functions	Students will be able to: i.        State the relationship between two variables on the given information. ii.      Identify the dependent and independent variables in a given relationship involving two variables. iii.    Calculate the value of the dependent variable, given the value of the independent variable. i.        Construct tables of values for given functions. ii.      Draw graphs of functions using given scale. iii.    Determine from graph the value of y, given the value of x and vice versa. iv.    Solve problems involving graphs of functions.
24 (2 – 6 Jul)	Chapter 14: Ratios, Rates and Proportions II 14.1 Understand the concept of rate and perform computations involving rates 14.2 Understand and use the concept of speed 14.3 Understand and use the concept of average speed 14.4 Understand and use the concept of acceleration	Students will be able to: i.        Determine the rates involved in given situations and identify the two quantities involved. ii.      Calculate the rate given two different quantities. 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. i.        Identify the two quantities involved in speed. ii.      Calculate and interpret speed. iii.    Calculate: the distance, given the speed and the time 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. i.        Calculate the average speed in various situations. ii.      Calculate: the distance, given the average speed and the time the time, given the average speed and the distance iii.    Solve problems involving speed and the average speed. i.        Identify the two quantities involved in acceleration. ii.      Calculate and interpret acceleration.	Translating Identifying relations
25 (9 – 13 Jul)	Chapter 15: Trigonometry 15.1 Understand and use tangent of an acute angle in a right-angled triangle 15.2 Understand and use sine of an acute angle in a right-angled triangle 15.3 Understand and use cosine of an acute angle in a right-angled triangle 15.4 Use the values of tangent, sine and cosine to solve problems	Students will be able to: i.        Identify the hypotenuse the opposite side and the adjacent side with 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. i.        Determine the sine of an angle. ii.      Calculate the sine of an angle given the lengths of sides of the triangle. iii.    Calculate the lengths of sides of a triangle given the value of sine and the lengths of another side. i.        Determine the cosine of an angle. ii.      Calculate the cosine of an angle given the lengths of sides of the triangle. iii.    Calculate the lengths of sides of a triangle given the value of cosine and the length of another side. i.        Calculate the value of other trigonometric ratios given the value of a trigonometric ratio. ii.      Convert the measurement of angles from: degrees to degrees and minutes degrees and minutes to degrees iii.    Find the value of: tangent sine cosine of 30°, 45° and 60° without using scientific calculator. iv.              Find the values of: tangent sine cosine using scientific calculator. v.      Find the angles given the values of: tangent sine cosine using scientific calculator vi. Solve problems involving trigonometric ratios.	Translating Identifying relations
26 (16 – 20 Jul)	PRA PERCUBAAN PMR 2012
27 – 29 (23 Jul – 10 Ogo)	REVISION ON FORM 1, 2 & 3 TOPICS
30 (13 – 17 Ogo)	PEPERIKSAAN PERCUBAAN PMR
CUTI PERTENGAHAN PENGGAL 2 (18 – 26 OGOS 2012)
31 – 35 (3 – 14 Sep )	DRILLING PMR FORMAT QUESTIONS
36 - 37 (2 – 9 Okt)	PEPERIKSAAN PMR 2012
38 – 41 (15 Okt	PROGRAM PASCA PMR

maths tg 4
maths tg 5
pmr
spm