rpt math form3 2013

YEARLY LESSON PLAN MATHEMATICS FORM THREE

YEARLY LESSON PLAN MATHEMATICS FORM THREE 2013WeekLearning AreaLearning ObjectivesLearning OutcomesStrategy and ApproachProses Matematik

1,2

(2)

1.

Lines and Angles (II)Students will be taught to:

Identify properties of angles associated with transversals and parallel lines.

Identify properties of angles associate with parallel lines.

Find the value of an angle in associated with parallel lines.

Identify parallel lines, based on the properties of angles associated with transversals.

Solving problems involving angles associated with transversal.Students will be able to:

i. Associate transversal and parallel lines with:

Corresponding angles

Alternate angles

Interior angles

ii. Associate properties of angles:

Corresponding angles are equal.

Alternate angles are equal.

The interior angles on the same side of transversal are supplementary.

The sum of interior angles is 180

i. Find unknown angles.

ii. Determine if two lines are paralleled.

CD-ROM, Video

INTRODUCTION

Play the introduction video from the CD-ROM

Prompt pupils for more examples from real life

CONTENT

Use content segment of the CD-ROM to illustrate the basic concept

ILLUSTRATION

Illustrate students how to perform computations, represent of solving problems.

Try with different examples

REINFORCEMENT

Evaluate segment to further reinforce the concept learnt

APPLICATIONS

Teachers make use of the Lines and Angles Generator fond in the activity segment to pose questions.

EXPLORATIONS

Encourage students to pose the answers and crosscheck with the answer provided by the Lines and Angles Generator

EVALUATIONS

Hold Competition in classroom to encourage participation.

Use the extension segment of the CD-Rom as an example for students to try the questions.

Print out worksheets found under Evaluation for the class to practice.

Encourage students to use revision found under Enhancement to revise the basic concept when necessary.Berkomunikasi secara matematik,Menyelesaikan masalah,menaakul dan membuat perkaitan

WeekLearning AreaLearning ObjectivesLearning OutcomesStrategy and Approach

3,4

(2)

2.

Polygons (II)

Students will be taught to:

Determine Regular Polygons.

Determine the axes of symmetry in a polygon.

Sketching / Drawing Regular Polygons.

Constructing an equilateral triangle. Square and a regular hexagon.

Identify interior angles and exterior angles of a polygon.

Determine the size of an exterior angle given the interior angle.

Determine the sum of the interior angle of polygons.

Determine the sum of the exterior angle of a polygon.

Determine the size of the interior angle, exterior angle and the number of sides of a regular polygon.

Solve problems involving angles and sides of a polygon.

Students will be able to:

i. Determine regular polygons having equal sides and all interior angles are equal.

ii. Determine all regular polygons having number of axes of symmetry.

iii. Determine regular polygons having equal number of sides.

i. Construct a polygon.

ii. Determine whether polygons are regular or irregular.

i. Determine the exterior angle and interior angles of a polygon are supplementary.

ii. Find the value of an exterior angle when the interior angle is given.

iii. Calculate the value of interior angle of a polygon.

i. Find the sum of the exterior angles of a polygon.

i. Find the interior angle and exterior angle of a regular polygon when number of sides of polygon is given.

ii. Calculate the interior angle of a regular polygon with n sides.

Interior angle = (n -2) x 180 n

iii. Find the exterior angle of a regular polygon.

Exterior angle = 360

Number of sides

= 360

n

= sum of exterior angles

number of sides

iv. Calculate the number of sides of a regular polygon when the interior angles are given.

n = 360

Exterior angle

= 360

180 interior angle

CD-ROM, Video

INTRODUCTION



CONTENT


ILLUSTRATION



REINFORCEMENT


APPLICATIONS

Teachers make use of the Polygons Generator fond in the activity segment to pose questions.

EXPLORATIONS

Encourage students to pose the answers and crosscheck with the answer provided by the Polygons Generator

EVALUATIONS




Encourage students to use revision found under Enhancement to revise the basic concept when necessary.

Berkomunikasi secara matematik,

Menyelesaikan masalah,menaakul, membuat perwakilan dan membuat perkaitan


5,6,7

(3)

3.

Circles (II)Students will be taught to:

Identify properties of circles involving symmetry, chords and arcs.

Identify properties of angles in a circle

Cyclic Quadrilaterals


i. Determine the diameter of a circle as an axis of symmetry.

The properties of chords.

ii. Solve problems involving symmetry, chords and arc of circles

i. Determine angles subtended by an arc.

ii. Determine angles subtended at the circumference by the same arc.

iii. Determine angles subtended at the circumference of the centre by arcs of the same length.

iv. Determine relationship between angle at the centre and angle at the circumference which are subtended by the same arc.

v. Determine the size of an angle subtended at the circumference in a semicircle.

vi. Solve problems involving subtended angles at the centre and circumference.

i. Identify cyclic quadrilaterals.

ii. Identify the interior opposite angles of cyclic quadrilaterals.

iii. Identify the relationship between interior opposite angles of a cyclic quadrilateral.

iv. Identify the exterior angle and its corresponding interior opposite angle of a cyclic quadrilateral.

v. Identify the relationship between the exterior angles and their corresponding interior opposite angles of a cyclic quadrilateral.

vi. Solve problems involving circles.

CD-ROM, Video

INTRODUCTION



CONTENT


ILLUSTRATION



REINFORCEMENT


APPLICATIONS

Teachers make use of the Circles Generator fond in the activity segment to pose questions.

EXPLORATIONS

Encourage students to pose the answers and crosscheck with the answer provided by the Circles Generator

EVALUATIONS








8,9

(2)

4.

Statistics (II)


Pie Chart.

Mode, Median and Mean.


i. Construct a pie chart.

ii. Obtain and interpret information from Pie Charts.

iii. Solve problems involving Pie Charts.

iv. Determine suitable representation of data.

i. Determine the mode for a set of data.

ii. Determine the mode and its corresponding frequency from Pictograms, Bar Charts, Line Graphs and Pie Charts.

iii. Determine the median for a set of data.

iv. Determine the median for data in a frequency table.

v. Calculate the mean for a set of data.

vi. Solve problems involving mode, media and mean.

CD-ROM, Video

INTRODUCTION



CONTENT


ILLUSTRATION



REINFORCEMENT


APPLICATIONS

Teachers make use of the Statistics Generator fond in the activity segment to pose questions.

EXPLORATIONS

Encourage students to pose the answers and crosscheck with the answer provided by the Statistics Generator

EVALUATIONS






Menyelesaikan Masalah,menaakul, membuat perwakilan dan membuat perkaitan


10,11

(2)

5.

Indices


Indices.

Simplification of numbers in Index Notation.

Division of Numbers in Indices Form.

Index Expressions Rose to a Power.

Negative Integer Indices.

Fractional Indices.

Calculation that involves Law of Indices.Students will be able to:

i. Express repeated multiplication as an and vice versa.

ii. Express numbers in index notation.

i. Verify a x a = a ii. Simplify multiplication of Numbers or Algebraic Terms in Index Notation with the Same Base.

32 x 33 = (3 x 3) x (3 x 3 x 3) = 35

iii. Simplify Multiplication of Number or Algebraic Terms expressed in Index Notation with Different Bases.

i. Simplify the division of Numbers or Algebraic Terms expressed in Index Notation with the Same Base.

i. Derive (a) = s .

ii. Simplify numbers or algebraic terms expressed in index notation raised to a power.

iii. Simplify multiplication and division of numbers and algebraic terms expressed in index notation raised to a power.

iv. Perform combined operations involving numbers and algebraic terms.

i. Verify a = .

ii. State a as and vice versa.

iii. Compute combined operation on numbers and Algebraic Terms with Negative Indices.

i. Verify a = , state a as and vice versa.

ii. Find the value of a

iii. Perform combined operations on numbers and algebraic terms involving fractional indices.

i. Calculate involving combined operations for several numbers in index notation.

ii. Calculate involving combined operations for index expressions with positive, negative and fractional indices.

CD-ROM, Video

INTRODUCTION



CONTENT


ILLUSTRATION



REINFORCEMENT


APPLICATIONS

Teachers make use of the Indices Generator fond in the activity segment to pose questions.

EXPLORATIONS

Encourage students to pose the answers and crosscheck with the answer provided by the Indices Generator

EVALUATIONS








12,13

(2)

14,15

(2)

6.

Algebraic Expressions (III)

7.

Algebraic Formula


Expanding Brackets.

Factorization.

Addition and Subtraction of Two Algebraic Fractions.

Multiplication and Division of Algebraic Fractions.


Recognize Variables and Constants.

Recognize Formula.


i. Expand single brackets.

ii. Expand two brackets.

i. Find factors of an algebraic term.

ii. Find the common factors and Highest Common Factors (HCF) for several Algebraic terms.

iii. Factorize of Algebraic Expression.

iv. Factorize and simplify Algebraic Fractions.

i. Add or subtract Algebraic Fraction with similar denominators.

ii. Add or subtract Algebraic Fraction with different denominators.

i. Multiply Algebraic Fraction.

ii. Divide Algebraic Fraction.


i. Determine if a Quantity is a Variable or Constant.

ii. Determine and represent a variable.

iii. Determine the possible values of a variable.

i. Write a formula based on statements and situations.

ii. Identify the Subject of a given formula.

iii. Express a specified variable as the subject of a formula.

iv. Find the value of a variable.

v. Solve problems involving formulae.

CD-ROM, Video

INTRODUCTION



CONTENT


ILLUSTRATION



REINFORCEMENT


APPLICATIONS

Teachers make use of the Algebraic Expressions/ Formula Generator fond in the activity segment to pose questions.

EXPLORATIONS

Encourage students to pose the answers and crosscheck with the answer provided by the Algebraic Expressions/ Formula Generator

EVALUATIONS






Menyelesaikan masalah,menaakul,

membuat perwakilan dan membuat perkaitan


16,17

(2)

18

(1)

8.

Solid Geometry (III)

9.

Scale Drawings


Find the volume of right circular cylinders and right prisms.

Find the volume of right pyramids and right circular cones.

Perform the volume of a sphere.

Perform Composite solids


Recognize Scale drawings.


i. Derive the formula for volume of right circular cylinders and prisms.

ii. Calculate the volume of a right circular cylinder.

iii. Calculate the height of a right circular cylinder.

iv. Calculate the radius of the base of a right circular cylinder.

v. Calculate the volume of a right prism.

vi. Calculate the height of a right prism.

vii. Calculate the base area of a right prism.

viii. Change units for volume.

ix. Solve problems involving volume of right cylinders and right prisms.

i. Derive the formula for the volume of right pyramids and cones.

ii. Calculate the volume of a right pyramid.

iii. Calculate the height of a right pyramid.

iv. Calculate the area of the base of a right pyramid.

v. Calculate the volume of right cone.

vi. Calculate the height of a right cone.

vii. Calculate the radius of the base of a right cone.

viii. Solve problems involving volume of right pyramids and right cones.

i. Calculate the volume of a sphere.

ii. Calculate the radius of a sphere.

iii. Solve problems involving sphere.

i. Calculate volume of composite solids.

ii. Solve problems involving volume of composite solids.


i. Sketch shapes.

ii. Draw geometric shapes according to scale 1: n.

iii. Draw composite shapes according to scales.

iv. Draw composite shapes according to given scales on grids of different sizes.

v. Redraw shapes on grids of different sizes.

vi. Solve problems involving scale drawings.CD-ROM, Video

INTRODUCTION



CONTENT


ILLUSTRATION



REINFORCEMENT


APPLICATIONS

Teachers make use of the Solid Geometry / Scale Drawing Generator fond in the activity segment to pose questions.

EXPLORATIONS

Encourage students to pose the answers and crosscheck with the answer provided by the Solid Geometry / Scale Drawing Generator

EVALUATIONS








Menyelesaikan masalah,menaakul dan membuat perkaitan


19

(1)

20

(1)

10.

Transformations (II)

11.

Linear Equations (II)Students will be taught to:

Similarity of shapes.

Enlargement.


Recognize Linear Equations in two variables.

Solve Simultaneous Linear Equations in two variables.


i. Write similarity of shapes.

ii. Calculate the length of unknown sides of two similar shapes.

i. Identify an enlargement.

ii. Find the scale factor.

iii. Determine the centre of enlargement.

iv. Determine the properties of enlargement.

v. Calculate the scale factor and length of the sides of an image or object.

vi. Determine the relationship between the area of the image and its object.

vii. Calculate the area of an image or object and scale factor.

viii. Solve problems involving enlargement


i. Identify linear equations in two variables.

ii. Derive a linear equation in two variables.

iii. Determine the value of a variable.

iv. Determine a possible solution for a linear equation in two variables.

i. Identify simultaneous linear equations.

ii. Solve simultaneous linear equations in two variables.

iii. Solve problems involving simultaneous linear equations in two variables.

CD-ROM, Video

INTRODUCTION



CONTENT


ILLUSTRATION



REINFORCEMENT


APPLICATIONS

Teachers make use of the Transformations / Linear Equations Generator fond in the activity segment to pose questions.

EXPLORATIONS

Encourage students to pose the answers and crosscheck with the answer provided by the Transformations / Linear Equations Generator

EVALUATIONS




Encourage students to use revision found under Enhancement to revise the basic concept when necessary.Berkomunikasi secara matematik,

Menyelesaikan masalah,menaakul, dan membuat perkaitan



membuat perwaklan dan membuat perkaitan


21,22

(2)

23,24

(2)12.

Linear Inequalities

13.

Graph of FunctionsStudents will be taught to:

Write inequalities.

Recognize linear inequalities in one unknown.

Perform operations +, , x and on a linear inequality.

Identify simultaneous linear inequalities in one variable.


Derive Functions.

Derive Graph of Functions.


i. Understand relationship of the greater than and less than.

ii. Express the relationship between two numbers.

iii. Determine the relationship of greater than or equal to and less than or equal to.

i. Identify linear inequalities.

ii. Determine possible solutions for an unknown.

iii. Represent a linear equation on a number line and vice versa.

iv. Form a linear inequality.

i. Add or subtract on a linear inequality.

ii. Multiply and divide on a linear inequality.

iii. Form linear inequalities.

i. Represent the common values of two linear inequalities on a number line.

ii. Determine the equivalent inequalities for two linear inequalities.

iii. Solve two simultaneous linear inequalities.


i. Understand relationship between two variables.

ii. Determine dependent variable and independent variable.

iii. Calculate the value of a dependent variable.

i. Construct a table of values.

ii. Draw a graph of functions.

iii. Determine the values of variables from a graph.

iv. Solve problems involving graphs of functions.CD-ROM, Video

INTRODUCTION



CONTENT


ILLUSTRATION



REINFORCEMENT


APPLICATIONS

Teachers make use of the Linear Inequalities

/ Graph of Functions Generator fond in the activity segment to pose questions.

EXPLORATIONS

Encourage students to pose the answers and crosscheck with the answer provided by the Linear Inequalities

/ Graph of Functions Generator

EVALUATIONS




Encourage students to use revision found under Enhancement to revise the basic concept when necessary.Berkomunikasi secara matematik,


membuat perwakilan dan membuat perkaitan




25

(1)

26,27,

28

(3)

14.

Ratios, Rates and Proportions (II)

15.

Trigonometry


Recognize rate.

Recognize speed.

Recognize average speed.

Recognize acceleration.


Recognize tangent of an acute angle in a right-angled triangle.

Recognize sine of an acute angle in a right-angled triangle.

Recognize cosine of an acute angle in a right-angled triangle.

Identify using the values of tangent, sine and cosine to solve problems.Students will be able to:

i. Determine rate and the two qualities involved.

ii. Calculate rates.

iii. Calculate certain qualities.

iv. Change units for rates.

v. Solve problems involving rates.

i. Identify two qualities for speed.

ii. Calculate and interpret speed.

iii. Calculate distance and time for speed.

iv. Change the units of speed.

v. Differentiate between uniform speed and non-uniform speed.

i. Calculate the average speed.

ii. Calculate the distance and the time for average speed.

iii. Solve problems involving speed and average speed.

i. Identify two qualities for acceleration.

ii. Calculate and interpret acceleration.


i. Identify the hypotenuse, opposite side and adjacent side.

ii. Determine the tangent of an angle.

iii. Calculate the tangent of an angle.

iv. Calculate the length of sides of a triangle.

i. Determine the sine of an angle.

ii. Calculate the side of an angle.

iii. Calculate the length of sides of a triangle.

i. Determine cosine of an angle.

ii. Calculate the cosine of an angle.

iii. Calculate length of sides of a triangle.

i. Calculate the values of other trigonometrically ratios, given the value of one trigonometrically ratio.

ii. Change measurement units of angles.

iii. Find the values of tangent, sine and cosine of 30, 45 and 60 without using a scientific calculator.

iv. Find the values of tangent, sine and cosine using a scientific calculator.

v. Find the angles using a scientific calculator

vi. Solve problems involving trigonometrically ratio.CD-ROM, Video

INTRODUCTION

Play the introduction video from the CDROM


CONTENT


ILLUSTRATION



REINFORCEMENT


APPLICATIONS

Teachers make use of the Ratios, Rates and Proportions/ Trigonometry Generator fond in the activity segment to pose questions.

EXPLORATIONS

Encourage students to pose the answers and crosscheck with the answer provided by the Ratios, Rates and Proportions/ Trigonometry Generator

EVALUATIONS






Menyelesaikan masalah,menaakul,membuat perwakilan dan membuat perkaitan


Menyelesaikan masalah,menaakul,membuat perwakilan dan membuat perkaitan

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rpt math form3 2013

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