# Mathematics Guides for JSS 3 Algebraic Processes

**MATHEMATICS **

**THEME – ALGEBRAIC PROCESSES**

**TOPIC 1 – FACTORIZATION **

**INSTRUCTIONAL MATERIALS**

1. Quadratic equation box

2. Flash cards of word problems

**LEARNING OBJECTIVES **

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

1. factorize simple algebraic expressions.

2. factorize quadratic algebraic expressions using quadratic equation box.

3. solve word problems involving factorization

**CONTENTS OF THE LESSON**

**FOCUS LESSONS **

1. Factorization of expressions of the form:

- ax + ay

- 3m + pq + 3p + mp

- a² – b²

- a² + 2ab + b²

2. Word problems involving factorization.

**LESSON PRESENTATION**

TEACHER’S ACTIVITIES1. Guides students to factorize the simple algebraic expressions.

2. Leads students to use the quadratic equation box to factorize quadratic expressions.

3. Guides students to translate word problem into algebraic expression.

4. Leads students to factorize resulting algebraic expression .

STUDENT’S ACTIVITIES1. Factorize the given simple algebraic expressions.

2. Use the quadratic equation box to factorize quadratic expressions.

3. Translate given word problems into algebraic expression.

4. Factorize the resulting algebraic expression.

**LESSON EVALUATION**

Students to,

1. factorize given algebraic expressions.

2. factorize given quadratic expressions expressions using quadratic equation box.

3. translate given word problems into algebraic expressions and factorize.

**MATHEMATICS **

**THEME – ALGEBRAIC PROCESSES**

**TOPIC 2 – SIMPLE EQUATIONS INVOLVING FRACTIONS**

**INSTRUCTIONAL MATERIALS**

1. Flash cards of simple equations showing fractions.

2. Flash cards of simple squares involving fractions.

**LEARNING OBJECTIVES **

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

1. solve simple equations involving fractions.

2. solve simple word problems on simple equations involving fractions.

**CONTENTS OF THE LESSON**

**FOCUS LESSONS **

1. Simple equations involving fractions.

2. Word problems leading to simple equation involving fractions.

**LESSON PRESENTATION**

TEACHER’S ACTIVITIES1. Leads students to solve problems on simple equations involving fractions.

2. Guides students to translate word problem leading to simple equations with fractions.

3. Leads students to solve the resulting algebraic equation.

STUDENT’S ACTIVITIES1. Solve given problems on simple equations involving fractions.

2. Translate each word problem to algebraic equation.

3. Solve the resulting equation.

**LESSON EVALUATION**

Students to,

1. solve given problems on simple equations involving fractions.

2. translate given word problem into algebraic equation and solve them.

**MATHEMATICS **

**THEME – ALGEBRAIC PROCESSES **

**TOPIC 3 – SIMULTANEOUS LINEAR EQUATIONS**

**INSTRUCTIONAL MATERIALS**

Tables of values, Ruler, Graph board, Pencil, Flash cards with simultaneous linear equations.

**LEARNING OBJECTIVES **

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

1. compile table of values for simultaneous linear functions.

2. solve problems involving linear simultaneous equations in two variables graphically.

3. solve simultaneous linear equations in two variables using elimination method.

4. apply elimination method to solve problems involving real life activities.

5. solve simultaneous linear equations in two variables using substitution method.

6. apply substitution method to solve problems involving real life activities.

**CONTENTS OF THE LESSON**

**FOCUS LESSONS **

1. Compilations of table of values.

2. Graphical solution of simultaneous linear equations in two variables.

3. Solution of simultaneous linear equations using elimination method.

4. Solution of simultaneous linear equations using substitution method.

**LESSON PRESENTATION**

TEACHER’S ACTIVITIES1. Guides students in calculating the values of a linear equations for different values of the variables and present their solutions in a table.

2. Guides students to plot the points for the two linear equations on the same axes.

3. Leads students to locate and read points of intersection of the two graphs as the solution of the equations.

4. Leads students to solve simultaneous linear equations in two variable using elimination method.

5. Guide students to apply elimination method to solve problems involving real life activities.

6. Leads students to solve simultaneous linear equations in two variables using substitutions methods.

7. Guides students to apply substitution method to solve problems involving real life activities.

STUDENT’S ACTIVITIES1. Compute linear equations for different values for the variable.

2. Present calculated values in tabular form.

3. Plot the points for the two linear equations on the same axes.

4. Locate and read points of intersection of the two graphs as the solution of the equations.

5. Solve given simultaneous linear equations using elimination method.

6. Apply elimination method to solve problems involving real life activities.

7. Solve given simultaneous linear equations using substitution method.

8. Apply substitution method to solve problems involving real life activities.

**LESSON EVALUATION**

Students to,

1. compute table of values for given linear functions.

2. solve a given simultaneous equations in two variables graphically.

3. solve given simultaneous linear equation using elimination method.

4. solve given simultaneous linear equations using substitution method.

**MATHEMATICS **

**THEME – ALGEBRAIC PROCESSES **

**TOPIC 2 – SIMULTANEOUS LINEAR EQUATIONS**

**INSTRUCTIONAL MATERIALS**

Tables of values, Ruler, Graph board, Pencil, Flash cards with simultaneous linear equations.

**LEARNING OBJECTIVES **

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

1. compile table of values for simultaneous linear functions.

2. solve problems involving linear simultaneous equations in two variables graphically.

3. solve simultaneous linear equations in two variables using elimination method.

4. apply elimination method to solve problems involving real life activities.

5. solve simultaneous linear equations in two variables using substitution method.

6. apply substitution method to solve problems involving real life activities.

**CONTENTS OF THE LESSON**

**FOCUS LESSONS **

1. Compilations of table of values.

2. Graphical solution of simultaneous linear equations in two variables.

3. Solution of simultaneous linear equations using elimination method.

4. Solution of simultaneous linear equations using substitution method

**LESSON PRESENTATION**

TEACHER’S ACTIVITIES1. Guides students in calculating the values of a linear equations for different values of the variables and present their solutions in a table.

2. Guides students to plot the points for the two linear equations on the same axes.

3. Leads students to locate and read points of intersection of the two graphs as the solution of the equations.

4. Leads students to solve simultaneous linear equations in two variable using elimination method.

5. Guide students to apply elimination method to solve problems involving real life activities.

6. Leads students to solve simultaneous linear equations in two variables using substitutions methods.

7. Guides students to apply substitution method to solve problems involving real life activities.

STUDENT’S ACTIVITIES1. Compute linear equations for different values for the variable.

2. Present calculated values in tabular form.

3. Plot the points for the two linear equations on the same axes.

4. Locate and read points of intersection of the two graphs as the solution of the equations.

5. Solve given simultaneous linear equations using elimination method.

6. Apply elimination method to solve problems involving real life activities.

7. Solve given simultaneous linear equations using substitution method.

8. Apply substitution method to solve problems involving real life activities.

**LESSON EVALUATION**

Students to,

1. compute table of values for given linear functions.

2. solve a given simultaneous equations in two variables graphically.

3. solve given simultaneous linear equation using elimination method.

4. solve given simultaneous linear equations using substitution method.