SCHEME OF WORK MATHEMATICS FORM 2 2017
Week
1-12 Jan
LEARNING AREA 1. Directed Numbers
LEARNING OBJECTIVES 1.1 Perform computations involving multiplication and division of integers to solve problems. 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 fractions to solve problems. 1.4 Extend the concept of integers to decimals to solve problems. 1.5 Perform computations involving directed numbers (integers, fractions and decimals).
16-27 Jan
2. Squares, Square Roots, Cubes and Cube Roots.
2.1 Understand and use the concept of squares of numbers.
2.2 Understand and use the concept of square roots of positive numbers.
LEARNING OUTCOMES 1 Multiply integers 2 Solve problems involving multiplication of integers. 3 Divide integers. 4 Solve problems involving division of integers. 1 Perform computations involving combined operations of a) addition and subtraction b) Multiplication and division of integers. 2 Solve problems involving combined operations of addition, subtraction, multiplication and division of integers including the use of brackets. 1 Compare and order fractions. 2 Perform addition, subtraction, multiplication or division on fractions. 3 Compare and order decimals. 4 Perform addition, subtraction, multiplication or division on decimals. 1 Perform addition, subtraction, multiplication or division involving two directed numbers. 2 Perform computations involving combination of two or more operations on directed numbers including the use of brackets. 3 Pose and solve problems involving directed numbers. 1 State a number multiplied by itself as a number to the power of two and vice-versa. 2 Determine the squares of numbers without using calculators. 3 Estimate the squares of numbers. 4 Determine the squares of numbers using calculators. 5 List perfect squares. 6 Determine if a number is a perfect square. 7 Pose and solve problems involving squares of numbers. 1 Determine the relationship between squares and square roots. 2 Determine the square roots of perfect squares without using calculator. 3 Determine the square roots of numbers without using calculators. 4 Multiply two square roots. 5 Estimate square roots of numbers. 6 Find the square roots of numbers using calculators. 7 Pose and solve problems involving squares and square roots.
REMARK
2.3 Understand and use the concept of cube numbers. 2.4 Understand and use the concept of cube roots of numbers.
1-15 Feb
3. Algebraic Expressions II
3.1 Understand the concept of algebraic terms in two or more unknowns. 3.2 Perform computations involving multiplication and division of two or more terms.
3.3 Understand the concept of algebraic expressions.
3.4 Perform computations involving algebraic expressions.
16-28 Feb
4. Linear Equations
4.1 Understand and use the concept of equality.
1 State a number multiplied by itself twice as a number to the power of three and vice-versa. 2 Determine cubes of numbers without using calculators. 3 Estimate cubes of numbers. 4 Determine cubes of numbers using calculators. 5 Pose and solve problems involving cubes of numbers. 6 Determine the relationship between cubes and cube roots. 7 Determine the cube roots of integers without using calculators. 8 Determine the cube roots of numbers without using calculators. 9 Estimate cube roots of numbers. 10 Determine cube roots of numbers using calculators. 11Pose and solve problems involving cubes and cube roots. 12Perform computations involving addition, subtraction, multiplication, division and mixed operations on squares, square roots, cubes and cube roots. 1 Identify unknowns in algebraic terms in two or more unknowns. 2 Identify algebraic terms in two or more unknowns as the product of the unknowns with a number. 3 Identify coefficients in given algebraic terms in two or more unknowns. 4 Identify like and unlike algebraic term in two or more unknowns. 5 State like terms for a given algebraic term. 6 Find the product of two algebraic terms. 7 Find the quotient of two algebraic terms. 8 Perform multiplication and division involving algebraic terms. 1 Write algebraic expressions for given situations using letter synbols. 2 Recognise algebraic expressions in two or more unknowns 3 Determine the number of terms in given algebraic expressionns in two or more unknowns. 4 Simplify algebraic expressions by collecting like terms. 5 Evaluate expressions by substituting numbers for letters. 1 Multiply and divide algebraic expressions by a number. 2 Perform : a) addition b) subtraction involving two algebraic expressions. 1 State the relationship between two quantities by using symbol ‘=’ or ‘≠’.
4.2 Understand and use the concept of linear equations in one unknown.
4.3 Understand the concept of solutions of linear equations in one unknown.
2 Recognise linear algebraic terms. 3 Recognise linear algebraic expressions. 4 Determine if a given equation is: a) a linear equation b) a linear equation in one unknown. 5 Write linear equations in one unknown for given statements and vice-versa. 1 Determine if a numerical value is a solution of a given linear equation in one unknown. 2 Determine the solution of a linear equation in one unknown by trial and improvement method. 3 Solve equations in the form of: a) x + a = b b) x - a = b c) ax = b d)
27 Mac-6 April
5. Ratios, Rates and Proportions
x = b , where a, b, c are integers and x is an unknown. a
4 Solve equations in the form of ax + b = c ,where a, b, c are integers and x is an unknown. 5 Solve linear equations in one unknown. 6 Pose and solve problems involving linear equations in one unknown. PEPERIKSAAN PENILAIAN 1 2017 (7-13 Mac 2017) CUTI PERTENGAHAN PENGGAL 1 (18-25 Mac 2017) 5.1 Understand the concept of ratio of 1 Compare two quantities in the form a : b or two a . quantities. b 5.2 Understand the concept of 2 Determine whether given ratios are equivalent ratios. proportion to solve 3 Simplify ratios to the lowest terms. problems. 4 State ratios related to a given ratio. 5 State whether two pairs of quantities is a propotion. 6 Determine if a quantity is propotional to another quantity given two values of each quantity. 7 Find the value of a quantity given the ratio the ratio of two quantities and the value of another quantity. 8 Find the value of a quantity given the ratio and the sum of the two
5.3 Understand and use the concept of ratio of three quantities to solve problems.
9-13 April
6. Pythagoras’ Theorem
6.1 Understand the relationship between the sides of a right-angled triangle. 6.2 Understand and use the converse of the Pythagoras’ theorem.
16-20 April
7. Geometrical Construction
8.1 Perform constructions using straight edge (ruler and set square) and compass.
8. Coordinates
9.1 Understand and use the concept of coordinates.
23 April- 9 Mei
quantities. 9 Find the sum of two quantities given the ratio of the quantities and the difference between the quantities. 10Pose and solve problems involving ratios and proportions. 1 Compare three quantities in the for a : b : c. 2 Determine whether given ratios are equivalent ratios. 3 Simplify ratio of three quantities to the lowest terms. 4 State the ratio of any two quantities given ratio of three quantities 5 Find the ratio of a : b : c given the ratio of a : b and b : c. 6 Find the value of the other quantities, given the ratio of three quantities and the value of one of the quantities. 7 Find the value of each of the three quantities given 8 Find the sum of three quantities given the ratio and the difference between two of the three quantities. 9 Pose and solve problems involving ratio of three quantities. 1 Identify the hypotenuse of right-angled triangles. 2 Determine the relationship between the lengths of the sides of a right-angled triangle. 3 Find the length of the missing side of a right-angled triangle using the Pythagoras’ theorem. 4 Find the length of sides of geometric shapes using Pythagoras’ theorem. 5 Solve problems using the Pythagoras’ theorem. 6 Determine whether a triangle is a right-angled triangle. 7 Solve problems involving the converse Pythagoras’ theorem. 1 Construct a line segment of given length. 2 Construct a triangle given the length of the sides. 3 Construct : perpendicular bisector of a given line segment, perpendicular to a line passing through a point on the line, perpendicular to a line passing through a point not on the line. 4 Construct : angle of 60° and 120° , bisector of an angle. 5 Construct triangles given: one side and two angles, two sides and one angle. 6 Construct : parallel lines, parallelogram given its sides and an angle. 1 Identify the x-axis , y-axis and the origin on a Cartesian plane. 2 Plot points and state the coordinates of the points given distances from the y-axis and x-axis.
9.2 Understand and use the concept of scales for the coordinate axes.
9.3 Understand and use the concept of distance between two points on a Cartesian plane. 9.4 Understand and use the concept of midpoints.
11 – 22 Jun
9. Loci In Two Dimensions
2- 20 Julai
10. Circles
3 Plot points and state the distances of the points from the y-axis and xaxis given coordinates of the points. 4 State the coordinates of points on Cartesian plane. 5 Mark the values on both axes by extending the squence of given values on the axes. 6 State the scales used in given coordinate axes. 7 Mark the values on both axes with reference to the scales given. 8 State the coordinates of a given point with reference to the scales given. 9 Plot points, given the coordinates. 10 Pose and solve problems involving coordinates. 1 Find the distance between two points 2 Find the distance between two points using Pythagoras’ theorem. 3 Pose and solve problems involving distance between two points.
1 Identify the midpoint of a straight line joining two points. 2 Find the coordinates of the midpoint of the line joining two points. 3 Pose and solve problems involving midpoints. PEPERIKSAAN PERTENGAHAN TAHUN 2017 (14- 23 Mei 2017) CUTI PERTENGAHAN TAHUN 2017 (2-10 Jun 2017) 10.1 Understand the concept of two1 Describe and sketch the locus of a moving object. dimensional 2 Determine the locus of points. loci. 3 Construct the locus of a set of all points that satisfies given 10.2 Understand the concept of the conditions. intersection of 4 Determine the intersections of two loci by two loci. drawing and locating the points. 11.1 Recognise and draw parts of a 1 Identify circle circle. 2 Identify parts of a circle. 11.2 Understand and use the concept of 3 Draw circle circumference to solve problems. 4 Determine : center, radius of a circle. 5 Estimate the value of π. 6 Derive the formula of the circumference of a circle. 7 Find the circumference of a circle given its :diameter, radius. 8 Find the : diameter, radius given the circumference. 9 Solve problems involving circumference of circles.
11.3 Understand and use the concept of arc of a circle to solve problems.
23 Julai-3 Ogos
13 – 24 Ogos
11. Transformations
1 Derive the formula of the length of an arc. 2 Find the length of arc 3 Find the angle at the centre 4 Find the length of radius. 5 Solve problems involving arcs of a circle. 11.4 Understand and use the concept of 1 Derive the formula of the area of a circle. area af a 2 Find the area of a circle. circle to solve problems. 3 Find the radius and the diameter. 4 Find the area and circumference 5 Solve problems involving area of circles. 11.5 Understand and use the concept of 1 Derive the formula. area of 2 Find the area of a sector sector of a circle to solve problems. 3 Find the angle 4 Find the radius. 5 Solve problems involving area of sectors and area of circles. 12.1 Understand the concept of 1 Identify a transformation transformations. 2 Identify the object and its image 12.2 Understand and use the concept of 3 Identify a translation translations. 4 Determine the image of an object under a given translation 5 Describe a translation 6 Determine the properties of translation 7 Determine the coordinates under translation. 8 Solve problems involving translations. PEPERIKSAAN PENILAIAN 2 2017 (6 – 10 OGOS 2017) 12.3 Understand and use the concept of 1 Identify a reflection. reflections. 2 Determine the image of an object. 12.4 Understand and use the concept of 3 Determine the properties of reflections rotations. 4 Determine the image and the axis of reflection. 5 Determine the coordinates of image. 6 Describe a reflection 7 Solve problems involving reflections. 8 Identify a rotation. 9 Determine : image, properties, coordinates 10 Describe a rotation. 11 Solve problems involving rotations. CUTI PERTENGAHAN PENGGAL 2 2017 (25 OGOS – 2 SEPTEMBER 2017)
3- 7 September
10-21 September
12. Solid Geometry II
24-28 September
13. Statistics
12.5 Understand and use the concept of isometry. 12.6 Understand and use the concept of congruence. 12.7 Understand ang use the properties of quadrilaterals using concepts of transformations. 13.1 Understand geometric properties of prisms, pyramids, cyclinders, cones and spheres. 13.2 Understand the concept of nets. 13.3 Understand the concept of surface area. 14.1 Understand the concept of data. 14.2 understand the concept of frequency. 14.3 Represent and interpret data ini: i. pictograms ii. bar charts iii. line graphs to solve problems.
1 Identify an isometry 2 Determine whether a given transformation is an isometry. 3 Construct pattern. 4 Identify if two figures are congruent. 5 Identify congruency between two figures as a property o an isometry. 6 Solve problems involving congruence. 7 Determine the properties of quadrilaterals using reflections and rotation. 1 State the geometric properties of prisms, pyramids, cylinders, cones and spheres. 2 Draw nets 3 State the types of solids given their nets. 4 Construct model given their nets. 1 State surface area of prisms, pyramids, cylinders and cones. 2 Find the surface area. 3 Find dimensions 4 Solve problems involving surface area. 1 Classify data 2 Collect and record data. 3 Determine the frequency of data. 4 Determine the data 5 Organise data 6 Obtain information from frequency tables. 1 Construct pictograms 2 Obtain information from pictograms 3 Solve problems involving pictograms. 4 Construct bar charts. 5 Obtain informations. 6 Solve problems involving bar charts. 7 Represent data using line graphs. 8 Obtain information. 9 Solve problems involving line graphs.
END OF THE YEAR EXAMINATION (15 – 26 Oktober) SCHOOL HOLIDAY (24 November-31 Disember)
