Junior Secondary 3 | Mathematics

First Term

Objective: Explore the concept of whole numbers

Action steps

1. Discuss the concept of the binary number system

2. Carry out arithmetical operations using the binary system

3. Convert numbers from binary numbers to other bases and vice versa

4. Define information communication technology (ICT)

5. List the uses of ICT in mathematics

6. Use a computer to do simple mathematical calculations

7. Interpret word problems into numerical expressions

8. Simplify expressions involving brackets and fractions

9. Solve practical problems using direct and inverse proportion

10. Define what is meant by simple interest

11. Define what is meant by compound interest

12. Solve problems using the concept of simple interest

13. Solve problems using the concept of compound interest

Objective: Explore the concept of the number pi

Action steps

1. Define what is meant by the number pi

2. Draw a graphical representation of the definition of pi

3. Determine the approximate value of pi

Objective: Convert base 10 numbers to binary numbers

Action steps

1. Use bundles in two units to demonstrate conversion of numbers between 1 and 10 to base 2

2. Construct a conversion chart of numbers from base 10 to base 2

3. Solve problems using conversion of numbers from base 10 to base 2

Objective: Explore the use of computer applications

Action steps

1. Use a computer to store information about charts

2. Use a computer to translate information on punched cards to coded form

3. Use a computer to convert numbers from base 10 to base 2

Objective: Find the factors of algebraic expressions

Action steps

1. Use the quadratic equation box to demonstrate how to identify factors

2. Translate given word problems into algebraic expressions

3. Break down the resulting algebraic expression into their factors

Second Term

Objective: Use simple equations to solve problems that involve

Action steps

1. Convert word problems involving fractions into charts

2. Solve given problems using simple equations that involve fractions

3. Translate each word problem to an algebraic equation

4. Solve the resulting equation

Objective: Solve problems involving simultaneous linear equations

Action steps

1. Compute linear functions for different values for the variable

2. Present calculated values in tabular form

3. Recognize the presence of simultaneous events in real life situations

4. Solve problems involving linear simultaneous equations in two variables graphically

5. Explore the use of graphical representations of data

6. Solve simultaneous linear equations in two variables using the elimination method

7. Explore real life situations where some problems can be solved by eliminating some part of the problem

8. Solve simultaneous linear equations in two variables using the substitution method

9. Explore real life situations where some problems can be solved by substituting them with alternatives

Objective: Describe similar shapes

Action steps

1. Identify similar figures such as triangles, rectangles, squares, cubes and cuboids

2. Describe the concept of enlargement

3. Discover the properties of enlarged shapes and the corresponding scale factors

4. Calculate lengths, areas, and volumes of similar figures

5. Explore the presence of similar shapes in the environment

6. Solve problems involving similar shapes

Objective: Solve problems using trigonometry

Action steps

1. Discover sine, cosine, and tangent of an acute angle as ratios of the sides of a right-angled triangle

2. Use trigonometric tables to solve problems that involve applications of trigonometric ratios to finding distances and lengths

Objective: Calculate the areas of plane figures

Action steps

1. Derive the formula to calculate the area of a triangle

2. Use the derived formula to find the areas of triangles

3. Derive the formula to calculate the area of a parallelogram

4. Use the derived formula to find the areas of parallelograms

5. Derive the formula to find the area of a trapezium

6. Use the derived formula to find the areas of trapeziums

7. Derive the formula to calculate the area of a circle

8. Use the derived formula to find the areas of circles

9. Calculate the areas of various sections of lands

Third Term

Objective: Use the concept of construction to solve problems

Action steps

1. Bisect a line segment using a compass and a ruler

2. Bisect an angle using a compass and a ruler

3. Construct an angle of 90°

4. Construct an angle of 45°

5. Construct angles of 60° and 30°

6. Use a compass and a ruler to copy a given angle

7. Solve problems using a compass and a ruler

Objective: Explore the concept of measures of central tendency

Action steps

1. Review the concept of mean, median, and mode of data

2. Find the median of ungrouped data from a frequency table

3. Find the mode from a given frequency table

4. Calculate the mean using given data

5. Find the range of any given data

Objective: Explore data representation

Action steps

1. Represent data using a pie chart

2. Represent information on drug abuse using a pie chart

Objective: Perform data analysis using measures of central tendency

Action steps

1. Analyze data on drug abuse using measures of central tendency

2. State the meaning and importance of voter education

3. Discuss the general process of voting and organizing voting results in tabular form

4. Apply the use of measures of central tendency to analyze voting results

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