Numbers

Ratio - Comparing ratios

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

-Compare two or more ratios
-Show interest in equivalent ratios

-Discuss and compare ratios from the cut outs.
-Identify which ratio is greater or smaller.

How do we compare ratios?

MENTOR Mathematics Learner's Book pg. 59-60
-Ratio cards
-Cut-outs

-Observation -Oral questions -Written assignments

Numbers

Ratio - Comparing ratios

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

-Compare two or more ratios
-Show interest in equivalent ratios

-Discuss and compare ratios from the cut outs.
-Identify which ratio is greater or smaller.

How do we compare ratios?

MENTOR Mathematics Learner's Book pg. 59-60
-Ratio cards
-Cut-outs

-Observation -Oral questions -Written assignments

Numbers

Ratio - Dividing quantities in given ratios

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

-Divide quantities in given ratios
-Value fairness in sharing quantities according to ratios

-Discuss and share quantities of concrete objects in different ratios.
-Practice dividing quantities in given ratios.

How do we divide quantities in given ratios?

MENTOR Mathematics Learner's Book pg. 60-62
-Bottle tops
-Counters

-Observation -Oral questions -Written tests

Numbers

Ratio - Dividing quantities in given ratios

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

-Divide quantities in given ratios
-Value fairness in sharing quantities according to ratios

-Discuss and share quantities of concrete objects in different ratios.
-Practice dividing quantities in given ratios.

How do we divide quantities in given ratios?

MENTOR Mathematics Learner's Book pg. 60-62
-Bottle tops
-Counters

-Observation -Oral questions -Written tests

Numbers

Ratio - Increase and decrease using ratios

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

-Work out increase and decrease of quantities using ratios
-Appreciate changes in quantities expressed as ratios

-Practice increasing quantities in given ratios.
-Practice decreasing quantities in given ratios.

How do we use ratios to increase or decrease quantities?

MENTOR Mathematics Learner's Book pg. 62-63
-Ratio cards
-Number cards

-Observation -Oral questions -Written assignments

Numbers

Percentages - Percentage increase

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

-Work out percentage increase of given quantities
-Show interest in calculating percentage changes

-Discuss and determine percentage increase of different quantities.
-Solve problems involving percentage increase.

How do we calculate percentage increase?

MENTOR Mathematics Learner's Book pg. 64
-Charts
-Digital resources

-Observation -Oral questions -Written tests

Numbers

Percentages - Percentage increase

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

-Work out percentage increase of given quantities
-Show interest in calculating percentage changes

-Discuss and determine percentage increase of different quantities.
-Solve problems involving percentage increase.

How do we calculate percentage increase?

MENTOR Mathematics Learner's Book pg. 64
-Charts
-Digital resources

-Observation -Oral questions -Written tests

Numbers

Percentages - Percentage increase

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

-Work out percentage increase of given quantities
-Show interest in calculating percentage changes

-Discuss and determine percentage increase of different quantities.
-Solve problems involving percentage increase.

How do we calculate percentage increase?

MENTOR Mathematics Learner's Book pg. 64
-Charts
-Digital resources

-Observation -Oral questions -Written tests

Numbers

Percentages - Percentage increase

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

-Work out percentage increase of given quantities
-Show interest in calculating percentage changes

-Discuss and determine percentage increase of different quantities.
-Solve problems involving percentage increase.

How do we calculate percentage increase?

MENTOR Mathematics Learner's Book pg. 64
-Charts
-Digital resources

-Observation -Oral questions -Written tests

Numbers

Percentages - Percentage decrease

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

-Work out percentage decrease of given quantities
-Value the use of percentages in expressing changes

-Discuss and determine percentage decrease of different quantities.
-Solve problems involving percentage decrease.

How do we calculate percentage decrease?

MENTOR Mathematics Learner's Book pg. 65
-Charts
-Digital resources

-Observation -Oral questions -Written assignments

Numbers

Direct proportion

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

-Identify direct proportions in real life situations
-Appreciate direct proportional relationships

-Role play shopping activities to show and determine direct relationships.
-Identify examples of direct proportion from daily life.

What is direct proportion?

MENTOR Mathematics Learner's Book pg. 66
-Tables
-Charts

-Observation -Oral questions -Written tests

Numbers

Direct proportion

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

-Identify direct proportions in real life situations
-Appreciate direct proportional relationships

-Role play shopping activities to show and determine direct relationships.
-Identify examples of direct proportion from daily life.

What is direct proportion?

MENTOR Mathematics Learner's Book pg. 66
-Tables
-Charts

-Observation -Oral questions -Written tests

Numbers

Direct proportion

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

-Identify direct proportions in real life situations
-Appreciate direct proportional relationships

-Role play shopping activities to show and determine direct relationships.
-Identify examples of direct proportion from daily life.

What is direct proportion?

MENTOR Mathematics Learner's Book pg. 66
-Tables
-Charts

-Observation -Oral questions -Written tests

Numbers

Direct proportion - Working out direct proportion

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

-Work out direct proportions in real life situations
-Show interest in applying direct proportion to solve problems

-Solve problems involving direct proportion.
-Apply the concept of direct proportion to real-life scenarios.

How do we calculate quantities in direct proportion?

MENTOR Mathematics Learner's Book pg. 66-67
-Tables
-Price lists

-Observation -Oral questions -Written assignments

Numbers

Direct proportion - Working out direct proportion

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

-Work out direct proportions in real life situations
-Show interest in applying direct proportion to solve problems

-Solve problems involving direct proportion.
-Apply the concept of direct proportion to real-life scenarios.

How do we calculate quantities in direct proportion?

MENTOR Mathematics Learner's Book pg. 66-67
-Tables
-Price lists

-Observation -Oral questions -Written assignments

Numbers

Indirect proportion

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

-Identify indirect proportions in real life situations
-Appreciate indirect proportional relationships

-Use hourglass to show and determine indirect relationships.
-Identify examples of indirect proportion from daily life.

What is indirect proportion?

MENTOR Mathematics Learner's Book pg. 67
-Hourglass
-Charts

-Observation -Oral questions -Written tests

Numbers

Indirect proportion

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

-Identify indirect proportions in real life situations
-Appreciate indirect proportional relationships

-Use hourglass to show and determine indirect relationships.
-Identify examples of indirect proportion from daily life.

What is indirect proportion?

MENTOR Mathematics Learner's Book pg. 67
-Hourglass
-Charts

-Observation -Oral questions -Written tests

Numbers

Indirect proportion - Working out indirect proportion

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

-Work out indirect proportions in real life situations
-Value the application of indirect proportion in solving problems

-Solve problems involving indirect proportion.
-Apply the concept of indirect proportion to real-life scenarios.

How do we calculate quantities in indirect proportion?

MENTOR Mathematics Learner's Book pg. 67-68
-Tables
-Digital resources

-Observation -Oral questions -Written assignments

Numbers

Indirect proportion - Working out indirect proportion

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

-Work out indirect proportions in real life situations
-Value the application of indirect proportion in solving problems

-Solve problems involving indirect proportion.
-Apply the concept of indirect proportion to real-life scenarios.

How do we calculate quantities in indirect proportion?

MENTOR Mathematics Learner's Book pg. 67-68
-Tables
-Digital resources

-Observation -Oral questions -Written assignments

Numbers

Indirect proportion - Working out indirect proportion

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

-Work out indirect proportions in real life situations
-Value the application of indirect proportion in solving problems

-Solve problems involving indirect proportion.
-Apply the concept of indirect proportion to real-life scenarios.

How do we calculate quantities in indirect proportion?

MENTOR Mathematics Learner's Book pg. 67-68
-Tables
-Digital resources

-Observation -Oral questions -Written assignments

Numbers

Ratios and proportions - Digital applications

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

-Use IT devices to explore ratios and proportions
-Show interest in technology for mathematical learning

-Use IT devices or other materials to explore percentage change.
-Watch videos on ratios and proportions as used in daily activities.

How can we use technology to learn about ratios and proportions?

MENTOR Mathematics Learner's Book pg. 68
-Digital devices
-Videos

-Observation -Oral questions -Digital activities

Numbers

Ratios and proportions - Digital applications

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

-Use IT devices to explore ratios and proportions
-Show interest in technology for mathematical learning

-Use IT devices or other materials to explore percentage change.
-Watch videos on ratios and proportions as used in daily activities.

How can we use technology to learn about ratios and proportions?

MENTOR Mathematics Learner's Book pg. 68
-Digital devices
-Videos

-Observation -Oral questions -Digital activities

Numbers

Ratios and proportions - Real life applications

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

-Promote use of ratios and proportions in real life
-Appreciate the relevance of ratios and proportions in various fields

-Discuss applications of ratios and proportions in various fields like cooking, construction, and finance.
-Create and solve problems involving ratios and proportions related to daily activities.

How are ratios and proportions used in different professions?

MENTOR Mathematics Learner's Book pg. 68
-Reference materials
-Picture charts

-Observation -Oral questions -Projects

Numbers

Ratios and proportions - Real life applications

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

-Promote use of ratios and proportions in real life
-Appreciate the relevance of ratios and proportions in various fields

-Discuss applications of ratios and proportions in various fields like cooking, construction, and finance.
-Create and solve problems involving ratios and proportions related to daily activities.

How are ratios and proportions used in different professions?

MENTOR Mathematics Learner's Book pg. 68
-Reference materials
-Picture charts

-Observation -Oral questions -Projects

Algebra

Algebraic Expressions - Factorizing algebraic expressions (1)

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

-Identify common factors in algebraic expressions
-Factorize algebraic expressions using the greatest common factor
-Show interest in factorizing algebraic expressions

-Discuss and identify the GCD of pairs of numbers
-Identify common factors in algebraic expressions
-Practice factorizing algebraic expressions by taking out the common factor

How do we factorize algebraic expressions?

MENTOR Mathematics Learner's Book pg. 67
-Number cards
-Practice cards

-Observation -Oral questions -Written assignments

Algebra

Algebraic Expressions - Factorizing algebraic expressions (2)

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

-Factorize algebraic expressions by grouping terms in pairs
-Appreciate the different methods of factorizing expressions

-Group the terms in pairs to identify common factors
-Factorize each pair by identifying the common factor
-Identify the common factor from the factorized pairs to factorize the whole expression

How do we factorize algebraic expressions by grouping?

MENTOR Mathematics Learner's Book pg. 69-70
-Number cards
-Practice cards

-Observation -Oral questions -Written tests

Algebra

Algebraic Expressions - Factorizing algebraic expressions (2)

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

-Factorize algebraic expressions by grouping terms in pairs
-Appreciate the different methods of factorizing expressions

-Group the terms in pairs to identify common factors
-Factorize each pair by identifying the common factor
-Identify the common factor from the factorized pairs to factorize the whole expression

How do we factorize algebraic expressions by grouping?

MENTOR Mathematics Learner's Book pg. 69-70
-Number cards
-Practice cards

-Observation -Oral questions -Written tests

Algebra

Algebraic Expressions - Factorizing algebraic expressions (2)

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

-Factorize algebraic expressions by grouping terms in pairs
-Appreciate the different methods of factorizing expressions

-Group the terms in pairs to identify common factors
-Factorize each pair by identifying the common factor
-Identify the common factor from the factorized pairs to factorize the whole expression

How do we factorize algebraic expressions by grouping?

MENTOR Mathematics Learner's Book pg. 69-70
-Number cards
-Practice cards

-Observation -Oral questions -Written tests

Algebra

Algebraic Expressions - Simplifying algebraic fractions (1)

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

-Find the LCM of denominators in algebraic fractions
-Simplify algebraic fractions with different denominators
-Show interest in simplifying algebraic fractions

-Work out the LCM of denominators in algebraic fractions
-Practice simplifying algebraic fractions by using the LCM of denominators
-Express algebraic fractions as a single fraction

How do we simplify algebraic fractions?

MENTOR Mathematics Learner's Book pg. 71-72
-Practice cards
-Fraction boards

-Observation -Oral questions -Written assignments

Algebra

Algebraic Expressions - Simplifying algebraic fractions (1)

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

-Find the LCM of denominators in algebraic fractions
-Simplify algebraic fractions with different denominators
-Show interest in simplifying algebraic fractions

-Work out the LCM of denominators in algebraic fractions
-Practice simplifying algebraic fractions by using the LCM of denominators
-Express algebraic fractions as a single fraction

How do we simplify algebraic fractions?

MENTOR Mathematics Learner's Book pg. 71-72
-Practice cards
-Fraction boards

-Observation -Oral questions -Written assignments

Algebra

Algebraic Expressions - Simplifying algebraic fractions (2)

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

-Factorize the numerator and denominator in algebraic fractions
-Simplify algebraic fractions in their lowest form
-Show curiosity in working with algebraic fractions

-Factorize the numerators and denominators in algebraic expressions
-Identify common factors in both the numerator and denominator
-Simplify algebraic fractions to their lowest form

How do we simplify algebraic fractions by factorizing?

MENTOR Mathematics Learner's Book pg. 73-74
-Number cards
-Fraction boards

-Observation -Oral questions -Written tests

Algebra

Algebraic Expressions - Simplifying algebraic fractions (2)

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

-Factorize the numerator and denominator in algebraic fractions
-Simplify algebraic fractions in their lowest form
-Show curiosity in working with algebraic fractions

-Factorize the numerators and denominators in algebraic expressions
-Identify common factors in both the numerator and denominator
-Simplify algebraic fractions to their lowest form

How do we simplify algebraic fractions by factorizing?

MENTOR Mathematics Learner's Book pg. 73-74
-Number cards
-Fraction boards

-Observation -Oral questions -Written tests

Algebra

Algebraic Expressions - Simplifying algebraic fractions (2)

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

-Factorize the numerator and denominator in algebraic fractions
-Simplify algebraic fractions in their lowest form
-Show curiosity in working with algebraic fractions

-Factorize the numerators and denominators in algebraic expressions
-Identify common factors in both the numerator and denominator
-Simplify algebraic fractions to their lowest form

How do we simplify algebraic fractions by factorizing?

MENTOR Mathematics Learner's Book pg. 73-74
-Number cards
-Fraction boards

-Observation -Oral questions -Written tests

Algebra

Algebraic Expressions - Evaluating algebraic expressions by substitution (1)

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

-Substitute numerical values in algebraic expressions
-Evaluate algebraic expressions with one variable
-Value the use of substitution in solving problems

-Discuss how to substitute given numerical values to work out algebraic expressions
-Practice substituting values in different algebraic expressions
-Evaluate expressions by replacing variables with given values

How do we evaluate algebraic expressions?

MENTOR Mathematics Learner's Book pg. 75-76
-Number cards
-Expression cards

-Observation -Oral questions -Written assignments

Algebra

Algebraic Expressions - Evaluating algebraic expressions by substitution (1)

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

-Substitute numerical values in algebraic expressions
-Evaluate algebraic expressions with one variable
-Value the use of substitution in solving problems

-Discuss how to substitute given numerical values to work out algebraic expressions
-Practice substituting values in different algebraic expressions
-Evaluate expressions by replacing variables with given values

How do we evaluate algebraic expressions?

MENTOR Mathematics Learner's Book pg. 75-76
-Number cards
-Expression cards

-Observation -Oral questions -Written assignments

Algebra

Algebraic Expressions - Evaluating algebraic expressions by substitution (2)

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

-Evaluate algebraic expressions with multiple variables
-Apply substitution to real-life problems
-Appreciate the use of algebraic expressions in real life

-Practice substituting multiple values in algebraic expressions
-Solve problems involving area, perimeter and volume using substitution
-Apply algebraic expressions to real-life situations

How do we use algebraic expressions in real life situations?

MENTOR Mathematics Learner's Book pg. 77-78
-Expression cards
-Digital resources

-Observation -Oral questions -Written tests

Algebra

Algebraic Expressions - Evaluating algebraic expressions by substitution (2)

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

-Evaluate algebraic expressions with multiple variables
-Apply substitution to real-life problems
-Appreciate the use of algebraic expressions in real life

-Practice substituting multiple values in algebraic expressions
-Solve problems involving area, perimeter and volume using substitution
-Apply algebraic expressions to real-life situations

How do we use algebraic expressions in real life situations?

MENTOR Mathematics Learner's Book pg. 77-78
-Expression cards
-Digital resources

-Observation -Oral questions -Written tests

Algebra

Linear Equations - Forming linear equations in two unknowns

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

-Form linear equations in two unknowns
-Interpret real-life problems into linear equations
-Show interest in linear equations

-Role-play activities such as shopping on two different items to form linear equations in two unknowns
-Discuss with others and use other activities with two unknowns
-Practice forming linear equations from different real-life situations

How do we form linear equations in two unknowns?

MENTOR Mathematics Learner's Book pg. 79-80
-Beam balance
-Objects of different masses

-Observation -Oral questions -Written assignments

Algebra

Linear Equations - Forming linear equations in two unknowns

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

-Form linear equations in two unknowns
-Interpret real-life problems into linear equations
-Show interest in linear equations

-Role-play activities such as shopping on two different items to form linear equations in two unknowns
-Discuss with others and use other activities with two unknowns
-Practice forming linear equations from different real-life situations

How do we form linear equations in two unknowns?

MENTOR Mathematics Learner's Book pg. 79-80
-Beam balance
-Objects of different masses

-Observation -Oral questions -Written assignments

Algebra

Linear Equations - Substitution method introduction

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

-Express variables in terms of other variables in linear equations
-Prepare linear equations for solution by substitution
-Develop interest in solving linear equations

-Discuss and express one variable in terms of the other in linear equations
-Practice making one variable the subject of a formula
-Prepare different linear equations for solution by substitution

How do we solve linear equations in two unknowns by substitution?

MENTOR Mathematics Learner's Book pg. 81
-Number cards
-Linear equation cards

-Observation -Oral questions -Written tests

Algebra

Linear Equations - Solving linear equations by substitution

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

-Solve linear equations in two unknowns using substitution method
-Apply the substitution method to solve problems
-Show curiosity in solving equations by substitution

-Discuss and use substitution method to find the solutions of simultaneous equations in two unknowns
-Solve real-life problems using the substitution method
-Practice solving various simultaneous equations using substitution

What situations require the use of simultaneous equations?

MENTOR Mathematics Learner's Book pg. 82-83
-Flash cards
-Practice cards

-Observation -Oral questions -Written assignments

Algebra

Linear Equations - Solving linear equations by substitution

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

-Solve linear equations in two unknowns using substitution method
-Apply the substitution method to solve problems
-Show curiosity in solving equations by substitution

-Discuss and use substitution method to find the solutions of simultaneous equations in two unknowns
-Solve real-life problems using the substitution method
-Practice solving various simultaneous equations using substitution

What situations require the use of simultaneous equations?

MENTOR Mathematics Learner's Book pg. 82-83
-Flash cards
-Practice cards

-Observation -Oral questions -Written assignments

Algebra

Linear Equations - Solving linear equations by substitution

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

-Solve linear equations in two unknowns using substitution method
-Apply the substitution method to solve problems
-Show curiosity in solving equations by substitution

-Discuss and use substitution method to find the solutions of simultaneous equations in two unknowns
-Solve real-life problems using the substitution method
-Practice solving various simultaneous equations using substitution

What situations require the use of simultaneous equations?

MENTOR Mathematics Learner's Book pg. 82-83
-Flash cards
-Practice cards

-Observation -Oral questions -Written assignments

Algebra

Linear Equations - Elimination method introduction

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

-Set up linear equations for solution by elimination
-Prepare linear equations by multiplying to get equal coefficients
-Value the elimination method in solving equations

-Discuss the concept of the elimination method
-Practice multiplying equations by suitable numbers to get equal coefficients
-Set up different linear equations for solution by elimination

How do we solve linear equations by elimination?

MENTOR Mathematics Learner's Book pg. 84
-Flash cards
-Linear equation cards

-Observation -Oral questions -Written tests

Algebra

Linear Equations - Elimination method introduction

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

-Set up linear equations for solution by elimination
-Prepare linear equations by multiplying to get equal coefficients
-Value the elimination method in solving equations

-Discuss the concept of the elimination method
-Practice multiplying equations by suitable numbers to get equal coefficients
-Set up different linear equations for solution by elimination

How do we solve linear equations by elimination?

MENTOR Mathematics Learner's Book pg. 84
-Flash cards
-Linear equation cards

-Observation -Oral questions -Written tests

Algebra

Linear Equations - Solving linear equations by elimination

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

-Solve linear equations in two unknowns using elimination method
-Apply elimination method to solve problems
-Appreciate the elegance of the elimination method

-Discuss and use elimination method to find the solutions of simultaneous equations in two unknowns
-Practice solving various simultaneous equations using elimination
-Solve real-life problems using the elimination method

Where do we use linear equations in real life situations?

MENTOR Mathematics Learner's Book pg. 85-87
-Practice cards
-Digital resources

-Observation -Oral questions -Written assignments

Algebra

Linear Equations - Solving linear equations by elimination

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

-Solve linear equations in two unknowns using elimination method
-Apply elimination method to solve problems
-Appreciate the elegance of the elimination method

-Discuss and use elimination method to find the solutions of simultaneous equations in two unknowns
-Practice solving various simultaneous equations using elimination
-Solve real-life problems using the elimination method

Where do we use linear equations in real life situations?

MENTOR Mathematics Learner's Book pg. 85-87
-Practice cards
-Digital resources

-Observation -Oral questions -Written assignments

Algebra

Linear Equations - Solving linear equations by elimination

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

-Solve linear equations in two unknowns using elimination method
-Apply elimination method to solve problems
-Appreciate the elegance of the elimination method

-Discuss and use elimination method to find the solutions of simultaneous equations in two unknowns
-Practice solving various simultaneous equations using elimination
-Solve real-life problems using the elimination method

Where do we use linear equations in real life situations?

MENTOR Mathematics Learner's Book pg. 85-87
-Practice cards
-Digital resources

-Observation -Oral questions -Written assignments

Algebra

Linear Equations - Real life applications

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

-Apply linear equations in two unknowns to real life situations
-Choose appropriate methods to solve real-life problems
-Recognize the value of linear equations in daily life

-Practice forming and solving simultaneous equations from real life cases using any method
-Solve problems involving cost, age, distance and other quantities
-Watch videos or use other materials involving linear equations in two unknowns

How do we apply linear equations to solve real-life problems?

MENTOR Mathematics Learner's Book pg. 87
-Digital devices
-Videos

-Observation -Oral questions -Written tests -Projects

Algebra

Linear Equations - Real life applications

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

-Apply linear equations in two unknowns to real life situations
-Choose appropriate methods to solve real-life problems
-Recognize the value of linear equations in daily life

-Practice forming and solving simultaneous equations from real life cases using any method
-Solve problems involving cost, age, distance and other quantities
-Watch videos or use other materials involving linear equations in two unknowns

How do we apply linear equations to solve real-life problems?

MENTOR Mathematics Learner's Book pg. 87
-Digital devices
-Videos

-Observation -Oral questions -Written tests -Projects