# Mathematics Guides for JSS 3 Number and Numeration

**MATHEMATICS **

**THEME – NUMBER AND NUMERATION**

**TOPIC 1 – RATIONAL AND NON RATIONAL NUMBERS **

**INSTRUCTIONAL MATERIALS**

1. Thread or string

2. Table rule

3. Cylindrical shaped objects

**LEARNING OBJECTIVES **

By the end of the lesson, students should be able to able to identify rational and non-rational numbers.

**CONTENTS OF THE LESSON**

**FOCUS LESSONS **

1. Rational numbers

2. Non-rational numbers

**LESSON PRESENTATION **

TEACHER’S ACTIVITIES1. Guides students to identify rational and non rational numbers.

2. Guides students to determine practically the approximate value number pi.

STUDENT’S ACTIVITIES1. Identify rational and non rational numbers.

2. Determine practically the approximate value of number pi.

**LESSON EVALUATION**

Students to,

1. identify rational and rational numbers.

2. determine practically the approximate value of number pi.

**MATHEMATICS **

**THEME – NUMBER AND NUMERATION **

**TOPIC 2 – BINARY NUMBER SYSTEM **

**INSTRUCTIONAL MATERIALS**

1. Computer system

2. Flash cards

**LEARNING OBJECTIVES **

By the end of the lesson, students should be able to:

1. revise basic operations in binary system.

2. convert numbers in binary numbers to other bases and vice versa.

3. solve quantitative aptitude problems on Binary number systems.

4. use computer to do simple mathematical calculations.

5. translate word problems into numerical expression.

CONTENTS OF THE LESSON

**FOCUS LESSON **

1. Binary number system

2. Using computer to do simple mathematical calculations.

3. Translation of word problems into numerical expressions.

**LESSON PRESENTATION**

TEACHER’S ACTIVITIES1. Guides students to revise the basic operations in binary number system using electrical switch.

2. Guides students to convert numbers in binary system to other bases and vice versa.

3. Guides students to solve quantitative aptitude involving binary numbers system.

4. Guides the students to do some simple calculations on computer.

5. Guides students to interpret each word problem into numerical expression e.g the difference between 7 and the sum of half of 8 and 3.

STUDENT’S ACTIVITIES1. Carryout operation in binary number system.

2. Convert numbers in binary system to other bases and vice versa.

3. Solve quantitative aptitude involving binary number system.

4. Do some simple calculations on computer.

5. Interpret each word problem into numerical expression.

**LESSON EVALUATION**

Students to,

1. solve problems involving basic operations in binary number system.

2. convert given numbers in binary number system to other bases and vice versa.

3. solve quantitative aptitude problems.

4. use computer to solve given mathematical problems.

5. interpret and solve each given word problem into numerical expression.

**MATHEMATICS **

**THEME – NUMBER AND NUMERATION **

**TOPIC 3 – FRACTIONS AND PROPORTIONS **

**INSTRUCTIONAL MATERIALS**

1. Flash cards

2. Direct and inverse proportion chart

3. Source for relevant information on direct or inverse proportion

4. Source for information on compound interest, e.g fixed deposits.

**LEARNING OBJECTIVES **

By the end of the lesson, students should be able:

1. simplify expressions involving fractions and proportions.

2. solve problems involving direct and inverse proportion.

3. apply direct and inverse proportions to practical problem.

4. solve problems on compound interests.

5. apply the use of compound interest in daily life activities.

**CONTENTS OF THE LESSON**

**FOCUS LESSONS **

1. Expressions involving fractions and proportions.

2. Direct and inverse proportion.

3. Application of direct and inverse proportions.

4. Compound interest.

**LESSON PRESENTATION**

TEACHER’S ACTIVITIES1. Guides students to simplify expressions involving fractions and proportions.

2. Leads students to solve problem on direct and inverse proportion.

3. Guides students to solve practical problems in direct and inverse proportions, e.g. problems on speed, productivity, consumption and reciprocals.

4. Guides students to revise simple interest.

5. Leads students to solve problems on compound interest.

6. Leads students to the use of compound interest in daily life e.g in mortgages and loans and pension.

STUDENT’S ACTIVITIES1. Simplify expression involving fractions and proportions.

2. Solves problems on direct and inverse proportion.

3. Solve practical problems on direct and inverse proportion.

4. Revise simple interest.

5. Solve problems on compound interest in daily life.

6. Apply the use of compound interest in daily life.

**LESSON EVALUATION**

Students to,

1. simplify given expression involving fractions and proportions.

2. solve given problem on direct and inverse proportion.

3. solve given practical problem using direct and inverse proportion.

4. solve given problems on compound interest.

5. list four real life situations where compound interest apply.