Mathematics Guides for JSS 2 Algebraic Processes

MATHEMATICS 

THEME – ALGEBRAIC PROCESSES

TOPIC 1 – ALGEBRAIC EXPRESSIONS

INSTRUCTIONAL MATERIALS

1. Flash cards.

2. Quadratic equation box

3. Flow charts

LEARNING OBJECTIVES

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

1. expand a given algebraic expression.

2. factorize simple algebraic expressions.

3. apply the use of quadratic equation box in expanding and factorizing algebraic expressions.

4. solve quantitative reasoning problems.

5. simplify algebraic expression on fractions with monomial denominators.

6. interpret and solve word problems involving algebraic fractions.

CONTENTS OF THE LESSON

FOCUS LESSONS 

1. Expansion of algebraic expression.

2. Factorization of simple algebraic expressions.

3. Expansion and factorization of quadratic expressions.

4. Quantitative reasoning.

5. Algebraic expressions of fractions with monomial denominators.

6. Word problems leading to simple algebraic fractions.

LESSON PRESENTATION

Teacher’s Activities, 

Leads students to expand algebraic expression of the form, a(b + c) and (a + b)(c + d).

2. Guides students to factorize algebraic expressions.

3. Leads students to use a quadratic equation box in expanding and factorizing quadratic expressions.

4. Guides students to find missing factors in samples of the form, x² + 4x + 3 = (x + 1)(x + 3).

5. Guides students to simplify algebraic expression of the form, 1/p + 1/q = (p + q)/(pq).

6. Leads students to interpret word problems leading to algebraic fractions.

7. Guide students to solve the resulting algebraic fractions.

 

Student’s Activities,

1. Expand given algebraic expressions.

2. Factorize given algebraic expressions.

3. Use quadratic equation box in expanding and factorizing quadratic expressions.

4. Find the missing factor in the sample.

5. Simplify algebraic expression of fractions with monomials denominators.

7. Solve the resulting algebraic fractions.

LESSON EVALUATION

Students to,

expand given algebraic expressions.

2. factorize given algebraic expressions.

3. expand and factorize quadratic expressions.

4. solve quantitative aptitude problem.

5. simplify given algebraic expressions with monomial denominator.

6. interpret and solve given word problems leading to algebraic fraction.

MATHEMATICS 

THEME – ALGEBRAIC PROCESSES

TOPIC 2 – GRAPHS

INSTRUCTIONAL MATERIALS

1. Graph board, graph paper, rule, pencil.

2. Distance time data, Velocity time data, etc.

3. Table of values.

LEARNING OBJECTIVES

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

1. identify x-axis and y-axis.

2. plot points on the cartesian plane.

3. prepare table of values.

4. plot the graph of linear equations in two variables.

5. interpret the plotted graph.

6. plot linear graphs from real life situations.

7. solve quantitative aptitude problem.

CONTENTS OF THE LESSON

FOCUS LESSONS 

1. Plotting on the cartesian plane.

2. Graph of linear equation in two variables.

3. Linear graphs from real life situations.

4. Quantitative reasoning.

LESSON PRESENTATION

Teacher’s Activities, 

1. Leads students to identify x and y axis.

2. Guides students to plot given points on Cartesian plane.

3. Leads students to compile table of values of linear equation in two variables.

4. Guides students to plot given points on Cartesian plane.

5. Leads students to interpret information presented on the graph.

6. Plot the graph of the table of values.

7. Guides students to plot linear graphs from real life situations, e.g.

• Distance – Time graph,

• Velocity – Time graph,

• Item – price graph.

 

Student’s Activities,

1. Identify x and y axis on the cartesian plane.

2. Plot given points on Cartesian plane.

3. Compile tables of values of given linear equations in two variables.

4. Plot the graph of given linear equation in two variables.

5. Interpret information presented on the graph.

6. Plot a linear graph from given real life situation.

LESSON EVALUATION

Students to,

1. identify x and y axis on the Cartesian plane.

2. plot given points on Cartesian plane.

3. compile table of values of given linear equation in two variables.

4. plot the graph of given linear equation in two variable.

5. plot linear graph from given real life situation.

MATHEMATICS 

THEME – ALGEBRAIC PROCESSES

TOPIC 3 – LINEAR INEQUALITIES

INSTRUCTIONAL MATERIALS

1. Flash cards

2. Cardboard paper

3. Graph board

LEARNING OBJECTIVES

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

1. identify linear inequality in one variable.

2. solve linear inequality in one variable.

3. represent solutions of linear inequalities in one variable on number line.

4. Solve word problems involving linear inequalities in one variable.

CONTENTS OF THE LESSON

FOCUS LESSONS 

1. Linear inequality in one variable.

2. Graphical representations of solutions of linear inequalities in one variable.

3. Word problems.

LESSON PRESENTATION

Teacher’s Activities, 

1. Guides students to identify linear inequalities in on variable.

2. Leads students to solve linear inequality in one variable.

3. Guides students to solve and represent the solutions of linear inequalities on the number line.

4. Leads students to interpret and solve word problems involving linear inequalities in one variable.

Student’s Activities,

1. Identify linear inequalities in one variable.

2. Solve linear inequalities in one variable.

3. Solve and represent inequalities on number lines.

4. Interpret and solve word problems involving linear inequalities in one variable.

LESSON EVALUATION

Students to,

1. identify given linear inequality.

2. solve given problems on linear inequality in one variable.

3. solve given problem on linear inequality.

4. represent the solution on the number line.

5. interpret and solve word problems involving linear inequalities in one variable.

MATHEMATICS 

THEME – ALGEBRAIC PROCESSES

TOPIC 4 – SIMPLE EQUATIONS

INSTRUCTIONAL MATERIALS

Flash cards.

LEARNING OBJECTIVES

By the end of the lesson, students should be able to solve problems on simple equations.

CONTENTS OF THE LESSON

FOCUS LESSONS 

Problems on simple equations.

LESSON PRESENTATION

Teacher’s Activities, 

Guides students to solve problems on simple equations such as:

• 3n − 4 = 2n + 1

• (2y + 4)/7 = 2

Student’s Activities,

Solve problems on simple equations.

LESSON EVALUATION

Students to solve given problems on simple equations.