Yearly Plan Math Form 2 (2012)
DATE | LEARNING OBJECTIVES | LEARNING OUTCOME | REMARK |
Minggu 1
4-6Jan | 1. DIRECTED NUMBERS. 1.1 Perform computations involving multiplication and division of integers to solve problems.
| Students will be able to:
i. Multiply integers. ii. Solve problems involving multiplication of integers. iii. Divide integers. iv. Solve problems involving division of integers. |
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Minggu 2
9-13 Jan
| 1.2 Perform computations involving combined operations of addition, subtraction, multiplication and division of integers to solve problems.
1.3 Extend the concept of integers to fraction to solve problems.
1.4 Extent the concept of integers to decimals to solve problems.
| i. Perform computations involving combined operations of addition, subtraction, multiplication and division of integers.
ii. Solve problems involving combined operations of addition, subtraction, multiplication and division of integers including the use of brackets.
i. Compare and order fractions.
ii. Perform addition, subtraction, multiplication or division on fractions.
i. Compare and order decimals.
ii. Perform addition, subtraction, multiplication or division on decimals.
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Minggu 3 16-20 Jan | 1.5 Perform computations involving directed numbers (integers, fractions and decimals) | i. Perform addition, subtraction, multiplication or division involving two directed numbers. ii. Perform computations involving combination of two or more operations on directed numbers including the use of brackets. iii. Pose and solve problems involving directed numbers. |
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Minggu 4 23-27 Jan |
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| Cuti CNY |
Minggu 5 30 Jan- 3 Feb | 2. SQUARES, SQUARE ROOTS, CUBES AND CUBE ROOTS
2.1 Understand and use the concept of squares of numbers.
| i. State a number multiplied by itself as a number to the power of two and vice versa ii. Determine the squares of numbers without using calculators iii. Estimate the squares of numbers. iv. Determine the squares of numbers using calculators. v. List perfect squares. vi. etermine if a number is a perfect square. vii. Pose and solve problems involving squares of numbers.
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Minggu 6 6 - 10 Feb
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2.2 Understand and use the concept of square roots of positive numbers. |
i. Determine the relationship between squares and square roots ii. Determine the square roots of perfect squares without using calculator. iii. Determine the square roots of numbers without using calculators. iv. Multiply two square roots v. Estimate square roots of numbers. vi. Find the square roots of numbers using calculators. vii. Pose and solve problems involving squares and square roots | Cuti Maulid -(6/2/12) |
Minggu 7
13 - 17 Feb | 2.3 Understand and use the concept of cube of numbers. | i. State a number multiplied by itself twice as a number to the power of three and vice versa. ii. Determine cubes of numbers without using calculators. iii. Estimate cubes of numbers. iv. Determine cubes of numbers using calculators. v. Pose and solve problems involving cubes of numbers |
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Minggu 8 20 - 24 Feb
Minggu 9 27/2 – 2/3
| 2.4 Understand and use the concept of cube roots of numbers. | i. Determine the relationship between cubes and cube roots. ii. Determine the cube roots of integers without using calculators. iii. Determine the cube roots of numbers without using calculator. iv. Estimate cube roots of numbers. v. Determine cube roots of numbers using calculators. vi. Pose and solve problems involving cubes and cube roots. vii. Perform computations involving addition, subtraction, multiplication, division and mixed operations on squares, square roots, cubes and cubes roots. | Sukan tahunan sekolah |
Minggu 10 5/3 – 9/3
| 3. ALGEBRAIC EXPRESSIONS II. 3.1 Understand the concept of algebraic terms in two or more unknowns
3.2 Perform computations involving division of two or more terms multiplication and | i. Identify unknowns in algebraic terms in two or more unknowns. ii. Identify algebraic terms in two or more unknowns as the product of the unknowns with a number. iii. Identify coefficients in given algebraic terms in two or more unknowns. iv. Identify like and unlike algebraic terms in two or more unknowns. v. State like terms for a given algebraic term. i. Find the product of two algebraic terms. ii. Find the quotient of two algebraic terms. iii. Perform multiplication and division involving algebraic terms.
| Test 1 |
Minggu 11 12/3 – 16/3
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Cuti pertengahan penggal 1 |
Minggu 12 19/3 – 23/3 | 3.3 Understand the concept of algebraic expressions.
| i. Write algebraic expressions for given situations using letter symbols. ii. Recognise algebraic expressions in two or more unknowns. iii. Determine the number of terms in give algebraic expressions in two or more unknowns. iv. Simplify algebraic expressions collecting like terms. v. Evaluate expressions by substituting numbers for letters. |
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Minggu 13
26/3 – 30/3 | 3.4 Perform computations involving algebraic expressions. | i. Multiply and divide algebraic expressions by a number. ii. Perform: a) addition b) subtraction involving two algebraic expressions. iii. Simplify algebraic expressions. |
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Minggu 14 2/4 – 6/4
| 4. LINEAR EQUATIONS. 4.1 Understand and use the concept of equality. 4.2 Understand and use the concept of linear equations in one unknown. | i. State the relationship between two quantities by using symbols ‘=’ or ‘ i. Recognise linear algebraic terms ii. Recognise linear algebraic expressions iii. Determine if a given equation is: a) a linear equation b) a linear equation in one unknown. iv. Write linear equations in one unknown for given statements and vice versa. | Cuti – Good Friday (6/4/12) |
Minggu 15 19/4 – 13/4
| 4.3 Understand the concept of solutions of linear equations in one unknown. | i. Determine if a numerical value is a solution of a given linear equation in one unknown. ii. Determine the solution of a linear equation in one unknown by trial and improvement method. iii. Solve equations in the form of; a) x + a = b b) x – a = b c) ax = b d) where a, b, c are integers and x is an unknown. iv. Solve equations in the form of ax + b = c, where a, b, c are integers and x is an known. v. Solve linear equations in one unknown. vi. Pose and solve problems involving linear equations in one unknown | Cuti Pristiwa-9/4/12
Sabtu Ganti 3 |
Minggu 16 16/4 – 20/4
| 5. RATIOS, RATES AND PROPORTIONS 5.1 Understand the concept of ratio of two quantities.
| i. Compare two quantities in the form a : b or ii. Determine whether given ratios are equivalent ratios. iii. Simplify ratios to the lowest terms. iv. State ratios related to a given ratio. |
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Minggu 17 23/4 – 27/4
| 5.2 Understand the concept of proportion to solve problems. | i. State whether two pairs of quantities is a proportion. ii. Determine if a quantity is proportional to another quantity given two values of each quantity. iii. Find the value of a quantity given the ratio of the two quantities and the value of another quantity. iv. Find the value of a quantity given the ratio and the sum of the two quantities. v. Find the sum of two quantities given the ratio of the quantities and difference between the quantities. vi. Pose and solve problems involving ratios and proportions. |
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Minggu 18 30/4 – 4/5
| 5.3 Understand and use the concept of ratio of three quantities to solve problems. | i. Compare three quantities in the form a : b : c. ii. Determine whether given ratios are equivalent ratios. iii. Simplify ratio of three quantities to the lowest terms. iv. State the ratio of any two quantities give ratio of three quantities. v. Find the ratio of a : b : c given the ratio of a : b and b : c. vi. Find the value of the other quantities, given the ratio of three quantities and the value of one of the quantities. vii. Find the value of each of the three quantities given: a) the ratio and the sum of three quantities. b) the ratio and the difference between two or three quantities viii. Find the sum of three quantities given the ratio and the difference between two of the three quantities. ix. Pose and solve problems involving ratio of three quantities. | Cuti Hari Buruh- (1/5/12) |
Minggu 19 7/5 – 11/5
| 6. PYTHAGORAS’ THEOREM 6.1 Understand the relationship between the sides of a right-angled triangle.
| i. Identify the hypotenuse of right-angled triangles. ii. Determine the relationship between the lengths of the sides of a right-angled triangle. iii. Find the length of the missing side of a right-angled triangle using the Pythagoras theorem. iv. Find the length of sides of geometric shapes using Pythagoras’ theorem. v. Solve problems using the Pythagoras’ theorem. |
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Minggu 20 14/5 – 18/5
| 6.2 Understand and use the converse of the Pythagoras’ theorem. | i. Determine whether a triangle is a right- angled triangle. ii. Solve problems involving the converse Pythagoras’ theorem. | Hari Guru – 16/5/12 |
Minggu 21 21/5 – 25/5
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| Peperiksaan penggal 1 |
Minggu 22 28/5 – 1/6
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| Cuti penggal 1 |
Minggu 23 4/6 – 8/6
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| Cuti penggal 1 |
Minggu 24 11/6 - 15/6
| 7. LINES AND ANGLE II. 7.1 Understand and use properties of angles associated with transversal and parallel lines. | i. Identify: a) transversals b) corresponding angles c) alternate angles d) interior angles. ii. Determine that for parallel lines: a) corresponding angles are equal b) alternate angles are equal c) sum of interior angles is 1800 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. |
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Minggu 25
18/6 – 22/6 | 8. GEOMETRICAL CONSTRUCTION 8.1 Perform constructions using straight edge (ruler and set square) and compass | i. Construct a triangle given the length of the sides. ii. Construct a triangle given the length of the sides. iii. Construct: a) perpendicular bisector of a given line segment b) perpendicular to a line passing through a point on the line c) perpendicular to a line passing through a point not on the line.
iv. Construct: a) angle of 600 and 1200 b) bisector of an angle.
v. Construct: a) one side and two angles. b) two side and one angle.
vi. Construct: a) parallel lines b) parallelogram given its sides and an angle.
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Minggu 26 25/6 – 29/7
| 9. COORDINATES. 9.1 Understand and use the concept of coordinates.
9.2 Understand and use the concept of scales for the coordinate axes. | i. Identify the x-axis, y-axis and the origin on a Cartesian plane.
ii. Plot points and state the coordinates of the points given distances from the y-axis and x-axis. iii. Plot points and state the distances from the y-axis and x-axis given coordinates of the points.
iv. State the coordinates of points on Cartesian plane.
i. Mark the values on both axes by extending the sequence of given values on the axes.
ii. State the scales used in given coordinate axes where: a) scales for axes are the same b) scales for axes are different.
iii. Mark the values on both axes, with reference to the scales given.
iv. State the coordinates of a given point with reference to the scales given.
v. Plot points, given the coordinates, with reference to the scales given.
vi. Pose and solve problems involving coordinates.
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Minggu 27 2/7 – 6/7
| 9.3 Understand and use the concept of distance between two points on a Cartesian plane.
| i. Find the distance between two point with: a) common y-coordinates b) common x-coordinates.
ii. Find the distance between two point using Pythagoras’ theorem.
iii. Pose and solve problems involving distance between two points.
| Olahraga Tahunan Sekolah |
Minggu 28 9/7 – 13/7 | 9.4 Understand and use the concept of midpoints. | i. Identify the midpoint of a straight line joining two points. ii. Find the coordinates of the midpoint of a straight line joining two points with: a) common y-coordinates b) common x-coordinates. iii. Find the coordinates of midpoint of the line joining two points. iv. Pose and solve problems |
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Minggu 29 16/7 – 20/7
| 10. LOCI IN TWO DIMENSIONS. 10.1 Understand the concept of two-dimensional loci.
| i. Describe and sketch the locus of a moving object. ii. Determine the locus of points that are of: a) constant distance from the fixed point. b) equidistant from two fixed point. c) constant distance from a straight line. d) equidistant from two intersecting lines iii. Construct the locus of a set of all points that satisfies the condition: a) the point is at a constant distance from a fixed point. b) the point is at equidistant from two fixed points c) the point is at a constant distance from a straight line. d) the point is at equidistant from two intersecting lines. |
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Minggu 30 23/7 – 27/7
| 10.2 Understand the concept of the intersection of two loci. | i. Determine the intersections of two loci by drawing the loci and locating the points that satisfy the conditions of the two loci. |
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Minggu 31 30/7 – 3/8
| 11. CIRCLES. 11.1 Recognise and draw parts of a circle.
11.2 Understand and use the concept of circumference to solve problems.
| i. Identify circle as a set of points equidistant from a fixed point. ii. Identify parts of a circle: a) centre b) circumference c) radius d) diameter e) chord f) arc g) sector h) segment iii. Draw: a) a circle given the radius and centre. b) a circle given the diameter. c) a diameter passing through a specific point in a circle given the centre. d) a chord of a given length passing through a point on the circumference. e) sector given the size of the angle at the centre and radius of the circle. iv. Determine the: a) centre b) radius of a given circle by construction. i. Estimate the value of π. ii. Derive the formula of the circumference of a circle. iii. Find the circumference of a circle, given its: a) diameter b) radius iv. Find the: a) diameter b) radius given the circumference of a circle.
v. Solve problems involving circumference of circles.
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Minggu 32 6/8 – 10/8
| 11.3 Understand and use the concept of arc of a circle to solve problems.
11.4 Understand and use the concept of area of a circle to solve problems
| i i. Derive the formula of the length of an arc.
ii. Find the length of arc given the angle at the centre and the radius.
iii. Find the angle at the centre given the length of the arc and the radius of a circle.
iv. Find the length of radius of a circle given the length of the arc and the angle at the centre.
v. Solve problems involving arcs of a circle.
i. Derive the formula of area of a circle. ii. Find the area of a circle given the: a) radius b) diameter.
iii. Find: a) radius b) diameter given the area of a circle.
iv. Find the area of a circle given the circumference and vice versa.
v. Solve problems involving area of circles.
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Minggu 33 13/8 – 17/8
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| Peperiksaan Pertengahan 1 |
Minggu 34 20/8 -24/8
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| Cuti Pertengahan penggal 1 & cuti Hari Raya |
Minggu 35 27/8 – 31/8
| 11.5 Understand and use the concept of area of sector of a circle to solve problems. | i. Derive the formula of the area of a sector. ii. Find the area of a sector given the radius and angle at the centre. iii. Find the angle at the centre given the radius and the area of sector. iv. Find the radius given the area of sector and the angle at the centre. v. Solve problems involving area of sectors and area of circles.
| Hari Kebangsaan- 31/8/12 |
Minggu 36
3/9 – 7/9 | 12. TRANSFORMATIONS. 12.1 Understand the concept of transformations.
12.2 Understand and use the concept of translations. | i. Identify a transformation as a one-to- one correspondence between points in a plane. ii. Identify the object and its image in a given transformation. i. Identify a translation. ii. Determine the image of an object under a given translation. iii. Describe a translation: a) by stating the direction and distance of the movement. b) in the form iv. Determine the properties of translation. v. Determine the coordinates of: a) the image, given the coordinates of the object b) the object, given the coordinates of the image under a transformation. vi. Solve problems involving translations. |
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Minggu 37 10/9 – 14/9
| 12.3 Understand and use the concept of reflections.
| i. Identify a reflection. ii. Determine the image of an object under a reflection on a given line.
iii. Determine the properties of reflections. iv. Determine: a) the image of an object, given the axis of reflection. b) The axis of reflection, given the object and its image. v. Determine the coordinates of: a) the image, given the coordinates of the object b) the object, given the coordinates of the image under a reflection. vi. Describe a reflection given the object and image. vii. Solve problems involving reflections.
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Minggu 38 17/9 – 21/9 | 12.4 Understand and use the concept of rotations | i. Identify a rotation. ii. Determine the image of an object under a rotation given the centre, the angle and direction of rotation. iii. Determine the properties of rotations. vi. Describe a reflection given the object and image. iv. Determine: a) image of an object, given the centre, angle and direction of rotation. b) the centre, angle and direction of rotation, given the object and the image. v. Determine the coordinates of: a) the image, given the coordinates of the object b) the object, given the coordinates of the image under rotation. vi. Describe a rotation given the object and image. vii. solve problems involving rotations | Hari Malaysia – Cuti Umum 17/9/12 |
Minggu 39 24/9 – 28/9
| 12.5 Understand and use the concept of isometry.
12.6 Understand and use the concept of congruence.
12.7 Understand and use the properties of quadrilaterals using concept of transformations. | .i Identify an isometry. ii. Determine whether a given transformation is an isometry. iii. Construct patterns using isometry.
i. Identify if two figure are congruent. ii. Identify congruency between two figures as a property of an isometry. iii. Solve problems involving congruence. i. Determine the properties of quadrilaterals using reflections and rotations.
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Minggu 40 1/10 -5/10
| 13. SOLID GEOMETRY II. 13.1 Understand geometric solids properties.
13.2 Understand the concept of nets.
13.3 Understand the concept of surface area. | i. State the geometric properties of prisms, pyramids, cylinders, cones and spheres.
i. Draw nets for prisms, pyramids, cylinders and cones. ii. State the types of solids given their nets. iii. Construct models of solids given their nets. i. State the surface areas of prisms, pyramids, cylinders and cones. cylinders and cones. iii. Find the surface area of spheres using the standard formula. iv. Find dimensions: a) length of sides b) height c) slant height d) radius e) diameter of a solid given its surface area and other relevant information.
v. Solve problems involving the surface area. |
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Minggu 41 8/10 – 12/10
| 14. STATISTICS. 14.1 Understand the concept of data.
14.2 Understand the concept of frequency.
| i. Classify data according to those that can be collected by: a) counting b) measuring. ii. Collect and record data systematically. i. Determine the frequency of data. ii. Determine the data with: a) the highest frequency. b) the lowest frequency. c) frequency of specific value. iii. Organise data by constructing: a) tally charts. b) frequency tables. iv. Obtain information from frequency tables. |
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Minggu 42 15/10 – 19/10
| 14.3 Represent and interpret data in: i. pictograms ii. bar charts iii. line graphs to solve problems.
| i. Construct pictograms to represent data. ii. Obtain information from pictograms. iii. Solve problems involving pictograms. vi. Construct bar charts to represent data. v. Obtain information from bar charts. vi. Solve problems involving bar charts. vii. Represent data using line graphs. viii. Obtain information from line graphs. ix. solve problems involving line graphs. |
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Minggu 43 22/10 – 26/10 |
Revision / Peperiksaan Akhir Tahun
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| Cuti Raya Haji- 26/10/12 |
Minggu 44 29/10 – 2/11 |
Peperiksaan Akhir Tahun
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| Cuti perstiwa 4 – All Soul |
Minggu 45 5/11 – 9/11 | Graduasi & Penyampaian Hadiah |
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Minggu 46 12/11 – 16/11 |
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