Yearly Lesson Plan Math F2 3e6647

Yearly Lesson Plan Mathematics Form 2

SEKOLAH MENENGAH AGAMA HJ MOHD YATIM ULU GADONG, 71350 KOTA, NEGERI SEMBILAN.

YEARLY LESSON PLAN Integrated Curriculum for Secondary Schools

MATHEMATICS FORM TWO Prepared by : MOHAMAD HAFIZ BIN MD NGISUM Panitia of Science and Mathematics

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Mohamad Hafiz Bin Md Ngisum [ [email protected] ]

Yearly Lesson Plan Mathematics Form 2

WEEK 1&2

THEME/TITLE CHAPTER 1 : DIRECTED NUMBERS

LEARNING AREA 1.1Angles Associated With Parellel Lines

LEARNING OUTCOMES Students will be able to: i. Multiply integers. ii. Divide integers iii. Solve problems involving and division of integers. Students will be able to:

1.2Combined Operations

i.

Perform combined operations of addition, subtraction, multiplication and division of integers. ii. Solve problems. Students will be able to:

1.3Positive And Negative Fractions

i. Compare and order fractions. ii. Add, subtract, multiply and divide fractions. Students will be able to:

1.4Positive And Negative Decimals

iii. Compare and order decimals. iv. Add, subtract, multiply and divide decimals. Students will be able to:

1.5Computations Involving Directed Numbers

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i. Add, subtract, multiply and divide two directed numbers ii. Perform combined operations on directed numbers. iii. Pose and solve problems.

Mohamad Hafiz Bin Md Ngisum [ [email protected] ]

Yearly Lesson Plan Mathematics Form 2

WEEK 3&4

THEME/TITLE CHAPTER 2 : SQUARES, SQUARE ROOTS, CUBES AND CUBE ROOTS

LEARNING AREA 1 1.1Square Of Numbers.

LEARNING OUTCOMES Students will be able to: i. ii. iii. iv.

State a number multiplied by itself as a number to the power of two and vice versa. Determine and estimate the squares of numbers. List and determine perfect squares. Pose and solve problems involving squares of numbers.

Students will be able to: 1.2 Square Roots Of Positive Numbers

i. ii. iii. iv. v.

State the square root of a positive number. Determine the square roots of perfect squares. Multiply two square roots. Estimate and find the square roots of numbers. Pose and solve problems involving squares and square roots.

Students will be able to: 1.3 Cube Of Numbers.

i. ii. iii. iv.

State the cube of a number as a number to the power of three and vice versa. Determine cubes of numbers. Estimate cubes of numbers. Pose and solve problems involving cubes of numbers.

Students will be able to: i. 1.4Cube Roots Of Numbers.

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ii. iii. iv. v. vi.

State the cube root of a number as the number multiplied by itself twice equals to the given number. Determine the cube roots of numbers without using calculators. Estimate cube roots of numbers. Determine cube roots of numbers using calculators. Pose and solve problems involving cubes and cube roots. Perform computations involving addition, subtraction, multiplication, division and mixed operations on squares, square roots, cubes and cube roots.

Mohamad Hafiz Bin Md Ngisum [ [email protected] ]

Yearly Lesson Plan Mathematics Form 2

WEEK 5&6

THEME/TITLE CHAPTER 3 : ALGEBRAIC EXPRESSIONS II

LEARNING AREA

LEARNING OUTCOMES

3.1 Algebraic In Two Or More Unknowns

Students will be able to:

3.2 Multiplication And Division Of Two Or More Algebraic

Students will be able to:

i. Identify unknow ns in algebraic in tw o or more unknowns. ii. Identify algebraic in two or more unknowns as the product of the unknowns with a number. iii. Identify coefficients in given algebraic in two or more unknowns. iv. Identify like and unlike algebraic in two or more unknowns. v. State like for a given algebraic term.

i. Find the product of two algebraic . ii. Find the quotient of two algebraic . iii. Perform multiplication and division involving algebraic . Students will be able to:

3.3 Concept Of Algebraic

3.4 Computations Involving Algebraic Expressions

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i. Write algebraic expressions for given situations using letter symbols. ii. Recognise algebraic expressions in two or more unknowns. iii. Determine the number of in given algebraic expressions in two or more unknowns. iv. Simplify algebraic expressions by collecting like . v. Evaluate expressions by substituting numbers for letters. Students will be able to: i. Multiply and divide algebraic expressions by a number. ii. Perform addition and subtraction involving two algebraic expressions. iii. Simplify algebraic expressions.

Mohamad Hafiz Bin Md Ngisum [ [email protected] ]

Yearly Lesson Plan Mathematics Form 2

WEEK 7&8

THEME/TITLE CHAPTER 4 :

LEARNING AREA 4.1 Equality

LINEAR EQUATIONS

LEARNING OUTCOMES Students will be able to: i.

4.2 Linear Equations

State the relationship between two quantities by using the symbols ‘=’ or ‘≠’.

Students will be able to: i. Recognise linear algebraic and linear algebraic expressions. ii. Determine if a given equation linear equation. iii. Write linear equations in one unknown for given statements and vice versa. Students will be able to:

4.3 Solutions of Linear Equations

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i.

Determine if a numerical value is a solution of a given linear equation in one unknown. ii. Solve equations by trial and improvement method. iii. Solve linear equations in one unknown. iv. Pose and solve problems involving linear equations in one unknown.

Mohamad Hafiz Bin Md Ngisum [ [email protected] ]

Yearly Lesson Plan Mathematics Form 2

WEEK 9& 10

THEME/TITLE CHAPTER 5 : RATIOS, RATES AND PROPORTIONS

LEARNING AREA 5.1 The Concept of Ratio in Two Quantities

LEARNING OUTCOMES Students will be able to: i. ii. iii. iv.

Compare tw o quantities in the form a : b or a/b Determine whether given ratios are equivalent ratios. Simplify ratios to the lowest . State ratios related to a given ratio.

Students will be able to: 5.2 Concept of Proportion to Solve problems

i. State w hether 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 a quantity. iv. Find the sum of two quantities given the ratio of the quantities. v. Pose and solve problems involving ratios and proportions. Students will be able to :

5.3 Concept of Ratio of Tree Quantities to Solve Problems

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i. ii. iii. iv. v. vi.

Compare three quantities in the form a : b : c. Determine whether given ratios are equivalent ratios. Simplify ratio of three quantities to the lowest . Find the ratio of a : b : c given the ratio of a : b and b : c. Find the value of the quantities given the ratio and the sum of three quantities Find the sum of three quantities given the ratio and the difference between two of the three quantities. vii. Pose and solve problems involving ratio of three quantities.

Mohamad Hafiz Bin Md Ngisum [ [email protected] ]

Yearly Lesson Plan Mathematics Form 2

WEEK 11 & 12

THEME/TITLE CHAPTER 6 : PYTHAGORAS’ THEOREM

LEARNING AREA 6.1 The Relationship Between the Sides of a Right-Angled Triangle

LEARNING OUTCOMES Students will be able to: 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. Students will be able to:

6.2 The Converse of Pythagoras’ Theorem

WEEK 13 & 14

THEME/TITLE CHAPTER 7 : GEOMETRICAL CONSTRUCTIO NS

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i. Determine whether a triangle is a right-angled triangle. ii. Solve problems involving the converse Pythagoras’ theorem.

LEARNING AREA 7.1 Constructions Using a Straight Edge and a pair of Comes

LEARNING OUTCOMES Students will be able to: i. ii. iii. iv. v. vi.

Construct Construct Construct Construct Construct Construct

Mohamad Hafiz Bin Md Ngisum [ [email protected] ]

a line segment of given length. a triangle given the length of the sides. the perpendicular bisector of a line segment perpendicular to a line the angle of 600 and 1200 and bisector of an angle. triangles given one side and two angles and two sides and one angle. parallel lines and parallelogram.

Yearly Lesson Plan Mathematics Form 2

WEEK 15 & 16

THEME/TITLE CHAPTER 8 :

LEARNING AREA 8.1 Coordinates

COORDINATES

8.2 Scales for the Coordinates Axes

LEARNING OUTCOMES Students will be able to: 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 of the points from the y-axis and x-axis given coordinates of the point. iv. State the coordinates of points on Cartesian plane. Students will be able to:

8.3 Distance Between Two Points in a Cartesian Plane

i. ii. iii. iv. v. vi.

Mark the values on both axes. State the scales used. Mark the values on both axes, with reference to the scales given. State the coordinates of a given point with reference to the scales given. Plot points, given the coordinates, with reference to the scales given. Pose and solve problems involving coordinates.

Students will be able to: i.

Find the distance between two points with common y-coordinates or common xcoordinates. ii. Find the distance between two points using Pythagoras’ theorem. iii. Pose and solve problems involving distance between two points. 8.4 Midpoint Students will be able to: i. Identify the midpoint of a straight line ing two points. ii. Find the coordinates of the midpoint of a straight line ing two points with common y-coordinates or common x-coordinates. iii. Find the coordinates of the midpoint of the line ing two points. iv. Pose and solve problems involving midpoints. 8

Mohamad Hafiz Bin Md Ngisum [ [email protected] ]

Yearly Lesson Plan Mathematics Form 2

WEEK 17 & 18

THEME/TITLE CHAPTER 9 :

LEARNING AREA 9.1 TwoDimensional Loci

LOCI IN TWO DIMENSIONS

LEARNING OUTCOMES Students will be able to: i.

Describe and sketch the locus of a moving object.

ii. Determine the locus of points that are of: a) constant distance from a fixed point b) equidistant from two fixed points c) constant distance from a straight line d) equidistant from two intersecting lines. i.

Construct the locus of a set of all points that satisfies a given condition.

Students will be able to: 9.2 Intersection of Two Loci

WEEK 19 & 20

THEME/TITLE CHAPTER 10 : CIRCLES

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i.

Determine the intersections of two loci by drawing the loci.

LEARNING AREA 10.1 Parts of a Circle

LEARNING OUTCOMES Students will be able to: i. ii. iii. iv.

Identify circle as a set of points equidistant from a fixed point. Identify parts of a circle. Draw the different parts of a circle. Determine the center or radius of a circle by construction.

Mohamad Hafiz Bin Md Ngisum [ [email protected] ]

Yearly Lesson Plan Mathematics Form 2

Students will be able to: 10.2 Understand and Use the Concept of Circumference

i. ii. iii. iv. v.

Estimate the value of π. Derive the formula of the circumference of a circle. Find the circumference of a circle given its diamete or radius Find the diameter or radius of a circle. Solve problems involving circumference of circles.

Students will be able to: 10.3 Arc of a Circle

i. ii. iii. iv.

Derive the formula of the length of an arc. Find the length of arc given the angle at the centre and the radius. Find the angle at the centre given the length of the arc and the radius of a circle. 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. Students will be able to :

10.4 Area of a Circle

i. ii. iii. iv. v.

Derive the formula of the area of a circle. Find the area of a circle given the radius or diameter. Find the radius or diameterngiven the area of a circle. Find the area of a circle given the circumference. Solve problems involving area of circles.

Students will be able to: 10.5 Area of a Sector

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i. ii. iii. iv. v.

Derive the formula of the area of a sector. Find the area of a sector given the radius and angle at the centre. Find the angle at the centre given the radius and area of a sector. Find the radius given the area of a sector and the angle at the centre. Solve problems involving area of sectors and area of circles.

Mohamad Hafiz Bin Md Ngisum [ [email protected] ]

Yearly Lesson Plan Mathematics Form 2

WEEK 21 & 22

THEME/TITLE CHAPTER 11 :

LEARNING AREA 11.1 Transformation

TRANSFORMAT IONS 11.2 Translation

11.3 Reflection

11.4 Rotation

11.5 Isometry

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LEARNING OUTCOMES Students will be able to: 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. Students will be able to: i. Identify a translation. ii. Determine the image of an object under a given translation. iii. Describe a translation and determine its properties. iv. Determine the coordinates of the image and the object under a translation. v. Solve problems involving translations. Students will be able to: 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 the image of an object given the axis of reflection. v. Determine the coordinates of the image under a reflection. vi. Describe a reflection given the object and image. vii. Solve problems involving reflections. Students will be able to: i. Identify a rotation and determine its properties ii. Determine the image of an object under a rotation iii. Determine the centre, angle and direction of rotation iv. Determine the coordinates of the image and the object under a rotation. v. Describe a roration given the object and its image. vi. Solve problems involving rotation Students will be able to: i. Identify an isometry. ii. Determine w hether a given transformation is an isometry. iii. Construct patterns using isometry.

Mohamad Hafiz Bin Md Ngisum [ [email protected] ]

Yearly Lesson Plan Mathematics Form 2

11.6 Congruence

11.7 Properties of Quadrilaterals WEEK 23 & 24

THEME/TITLE

LEARNING AREA

CHAPTER 12 :

12.1 Properties of Prisms, Pyramids, Cylinders, Cones and Spheres.

SOLID GEOMETRY II

Students will be able to: i. Identify if two figures are congruent. ii. Identify congruency between two figures as a property of an isometry. iii. Solve problems involving congruence. Students will be able to: i. Determine the properties of quadrilaterals using reflections and rotations. LEARNING OUTCOMES Students will be able to: i.

State the geometric properties of prisms, pyramids, cylinders, cones and spheres.

Students will be able to: 12.2 Nets of Geometric Solids

i. Draw nets for prisms, pyramids, cylinders and cones. ii. State the types of solids given their nets. iii. Construct models of solidsgiven their nets. Students will be able to:

12.3 Surface Area i. State the surface areas of prisms, pyramids, cylinders and cones. ii. Find dimensions of a solid given its surface area and other relevant information. iii. Solve problems involving surface areas.

WEEK

THEME/TITLE

12

LEARNING AREA

Mohamad Hafiz Bin Md Ngisum [ [email protected] ]

LEARNING OUTCOMES

Yearly Lesson Plan Mathematics Form 2

25 & 26

CHAPTER 13 :

13.1 Concept of Data

STATISTICS

Students will be able to: i. Classify data according to those that can be collected ii. Collect and record data systematically. Students will be able to:

11.2 Concept of Frequency

i. Determine the frequency of data. ii. Determine the data with the highest frequency, the lowest frequency and the frequency of a specific item. iii. Organise data using tally charts and frequency tables. iv. Obtain information from frequency tables. Students will be able to:

11.3 Representation and Interpretation of data

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i. Construct pictograms, bar charts and line graphs. ii. Obtain information from pictograms, bar charts and line graphs. iii. Solve problems involving pictograms, bar charts and line graphs.

Mohamad Hafiz Bin Md Ngisum [ [email protected] ]