Numbers

Integers - Identifying integers

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

-Identify integers in different situations
-Show interest in learning about integers

-Identify integers by carrying out activities involving positive and negative numbers and zero. For example, climbing up stairs (positive), going down stairs (negative).
-Stand at a point (the zero point) and count the number of steps moved either forward or backward.

Where do we use integers in real life situations?

MENTOR Mathematics Learner's Book pg. 1
-Number lines
-Number cards

-Observation -Oral questions -Written assignments

Numbers

Integers - Representing integers on a number line

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

-Represent integers on a number line
-Show curiosity in representing integers

-Draw and represent integers on number lines on learning materials.
-Practice representing positive and negative integers on a number line.

How do we represent integers on a number line?

MENTOR Mathematics Learner's Book pg. 2-3
-Number lines
-Wood ash

-Observation -Oral questions -Written tests

Numbers

Integers - Representing integers on a number line

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

-Represent integers on a number line
-Show curiosity in representing integers

-Draw and represent integers on number lines on learning materials.
-Practice representing positive and negative integers on a number line.

How do we represent integers on a number line?

MENTOR Mathematics Learner's Book pg. 2-3
-Number lines
-Wood ash

-Observation -Oral questions -Written tests

Numbers

Integers - Addition of integers

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

-Add integers on a number line
-Appreciate the use of number line in addition of integers

-Perform addition operations of integers on a number line.
-Use counters to represent positive and negative integers and perform addition.

How do we add integers on a number line?

MENTOR Mathematics Learner's Book pg. 4-5
-Red and blue counters
-Number lines

-Observation -Oral questions -Written assignments

Numbers

Integers - Subtraction of integers

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

-Carry out subtraction of integers on a number line
-Develop interest in solving problems involving subtraction of integers

-Perform subtraction operations of integers on a number line.
-Play creative games that involve number lines, for example jumping steps.

How do we subtract integers on a number line?

MENTOR Mathematics Learner's Book pg. 5-6
-Number lines
-Games

-Observation -Oral questions -Written tests

Numbers

Integers - Combined operations

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

-Carry out combined operations of integers on a number line
-Appreciate the use of number line in operations of integers

-Perform combined operations of addition and subtraction of integers on a number line.
-Apply the order of operations when solving combined operations.

How do we carry out combined operations of integers?

MENTOR Mathematics Learner's Book pg. 7-8
-Number cards
-Number lines

-Observation -Oral questions -Written assignments

Numbers

Integers - Combined operations

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

-Carry out combined operations of integers on a number line
-Appreciate the use of number line in operations of integers

-Perform combined operations of addition and subtraction of integers on a number line.
-Apply the order of operations when solving combined operations.

How do we carry out combined operations of integers?

MENTOR Mathematics Learner's Book pg. 7-8
-Number cards
-Number lines

-Observation -Oral questions -Written assignments

Numbers

Integers - Real life applications

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

-Apply operations of integers in real life situations
-Appreciate the use of integers in daily life

-Discuss real-life applications of integers such as temperature, altitude, profit and loss.
-Use IT or other resources to learn more on operations of integers on number lines.

How do we apply integers in real life situations?

MENTOR Mathematics Learner's Book pg. 8-9
-Digital resources
-Internet

-Observation -Oral questions -Written tests

Numbers

Fractions - Combined operations (Addition and subtraction)

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

-Carry out combined operations of addition and subtraction on fractions
-Show interest in learning about operations on fractions

-Discuss and use the correct order of operations in fractions.
-Practice combined operations of addition and subtraction on fractions.

How do we use fractions in real life situations?

MENTOR Mathematics Learner's Book pg. 15
-Fraction cards
-Practice cards

-Observation -Oral questions -Written assignments

Numbers

Fractions - Combined operations (Multiplication and division)

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

-Carry out combined operations of multiplication and division on fractions
-Appreciate the importance of fractions in daily life

-Discuss the order of operations in multiplication and division of fractions.
-Practice combined operations of multiplication and division on fractions.

How do we carry out combined operations of fractions?

MENTOR Mathematics Learner's Book pg. 17-18
-Fraction cards
-Practice cards

-Observation -Oral questions -Written assignments

Numbers

Fractions - Combined operations (Multiplication and division)

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

-Carry out combined operations of multiplication and division on fractions
-Appreciate the importance of fractions in daily life

-Discuss the order of operations in multiplication and division of fractions.
-Practice combined operations of multiplication and division on fractions.

How do we carry out combined operations of fractions?

MENTOR Mathematics Learner's Book pg. 17-18
-Fraction cards
-Practice cards

-Observation -Oral questions -Written assignments

Numbers

Fractions - Combined operations

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

-Carry out combined operations on fractions
-Show interest in working with fractions

-Discuss the procedure to follow when working out combined operations on fractions.
-Work out fractions involving all operations following the correct order.

How do we solve problems involving all operations on fractions?

MENTOR Mathematics Learner's Book pg. 19
-Practical cards
-Digital resources

-Observation -Oral questions -Written tests

Numbers

Fractions - Operations in real life situations

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

-Work out operations on fractions in real life situations
-Value the use of fractions in solving real life problems

-Discuss and carry out operations on fractions from activities such as shopping and other real life cases.
-Solve word problems involving operations on fractions.

How do we apply fractions in real life situations?

MENTOR Mathematics Learner's Book pg. 20-22
-Charts
-Fraction boards

-Observation -Oral questions -Written assignments

Numbers

Fractions - Operations in real life situations

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

-Work out operations on fractions in real life situations
-Value the use of fractions in solving real life problems

-Discuss and carry out operations on fractions from activities such as shopping and other real life cases.
-Solve word problems involving operations on fractions.

How do we apply fractions in real life situations?

MENTOR Mathematics Learner's Book pg. 20-22
-Charts
-Fraction boards

-Observation -Oral questions -Written assignments

Numbers

Fractions - Digital applications

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

-Use IT devices for learning more on fractions
-Enjoy working with fractions using technology

-Play games of operations on fractions using IT devices or other resources.
-Solve fraction problems using digital tools.

How can we use digital tools to learn about fractions?

MENTOR Mathematics Learner's Book pg. 22
-Digital devices
-Internet resources

-Observation -Oral questions -Practical activities

Numbers

Fractions - Applications in various contexts

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

-Promote use of fractions in real life situations
-Appreciate the relevance of fractions in different fields

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

How are fractions used in different professions?

MENTOR Mathematics Learner's Book pg. 22
-Reference materials
-Picture charts

-Observation -Oral questions -Projects

Numbers

Decimals - Converting fractions to decimals

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

-Convert fractions to decimals in different situations
-Show interest in the relationship between fractions and decimals

-Practice converting fractions to decimals by division method.
-Practice converting fractions to decimals using equivalent fractions.

How do we convert fractions to decimals?

MENTOR Mathematics Learner's Book pg. 35
-Multiplication tables
-Place value charts

-Observation -Oral questions -Written assignments

Numbers

Decimals - Converting fractions to decimals

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

-Convert fractions to decimals in different situations
-Show interest in the relationship between fractions and decimals

-Practice converting fractions to decimals by division method.
-Practice converting fractions to decimals using equivalent fractions.

How do we convert fractions to decimals?

MENTOR Mathematics Learner's Book pg. 35
-Multiplication tables
-Place value charts

-Observation -Oral questions -Written assignments

Numbers

Decimals - Identifying recurring decimals

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

-Identify recurring decimals in different situations
-Appreciate patterns in recurring decimals

-In groups, discuss and classify non-recurring and recurring decimals.
-Indicate the recurring digits in decimal numbers.

How do we identify recurring decimals?

MENTOR Mathematics Learner's Book pg. 36-37
-Decimal cards
-Calculator

-Observation -Oral questions -Written tests

Numbers

Decimals - Converting recurring decimals to fractions

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

-Convert recurring decimals into fractions in different situations
-Show curiosity in relating decimals to fractions

-Practice converting recurring decimals to fractions.
-Discuss methods of converting recurring decimals to fractions.

How do we convert recurring decimals to fractions?

MENTOR Mathematics Learner's Book pg. 37-38
-Multiplication tables
-Calculator

-Observation -Oral questions -Written assignments

Numbers

Decimals - Rounding off decimals

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

-Round off a decimal number to a required number of decimal places
-Appreciate the importance of rounding decimals in daily life

-Discuss and round off decimal numbers to a required number of decimal places.
-Apply rounding rules to decimal numbers.

Why do we need to round off decimal numbers?

MENTOR Mathematics Learner's Book pg. 38-39
-Decimal cards
-Calculator

-Observation -Oral questions -Written tests

Numbers

Decimals - Rounding off decimals

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

-Round off a decimal number to a required number of decimal places
-Appreciate the importance of rounding decimals in daily life

-Discuss and round off decimal numbers to a required number of decimal places.
-Apply rounding rules to decimal numbers.

Why do we need to round off decimal numbers?

MENTOR Mathematics Learner's Book pg. 38-39
-Decimal cards
-Calculator

-Observation -Oral questions -Written tests

Numbers

Decimals - Significant figures

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

-Express numbers to a required significant figure
-Value precision in representing numbers

-Write decimal and whole numbers to a given significant figures.
-Apply rules for determining significant figures.

When do we use significant figures?

MENTOR Mathematics Learner's Book pg. 39-40
-Place value charts
-Number cards

-Observation -Oral questions -Written assignments

Numbers

Decimals - Standard form

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

-Express numbers in standard form
-Show interest in different representations of numbers

-Write numbers in standard form in learning materials such as cards or charts.
-Convert between standard form and ordinary numbers.

How do we express numbers in standard form?

MENTOR Mathematics Learner's Book pg. 41-42
-Flash cards
-Number cards

-Observation -Oral questions -Written tests

Numbers

Decimals - Combined operations on decimals

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

-Carry out combined operations on decimals
-Show interest in solving decimal problems

-Work out combined operations on decimals in the correct order.
-Apply rules of order of operations to decimal calculations.

How do we work out operations on decimals?

MENTOR Mathematics Learner's Book pg. 42-43
-Decimal cards
-Calculator

-Observation -Oral questions -Written assignments

Numbers

Decimals - Combined operations on decimals

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

-Carry out combined operations on decimals
-Show interest in solving decimal problems

-Work out combined operations on decimals in the correct order.
-Apply rules of order of operations to decimal calculations.

How do we work out operations on decimals?

MENTOR Mathematics Learner's Book pg. 42-43
-Decimal cards
-Calculator

-Observation -Oral questions -Written assignments

Numbers

Decimals - Real life applications

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

-Apply decimals to real life situations
-Value the use of decimals in solving practical problems

-Discuss and apply decimals to real life cases.
-Solve word problems involving decimals.

How do we use decimals in real life situations?

MENTOR Mathematics Learner's Book pg. 43-44
-Price lists
-Measurement tools

-Observation -Oral questions -Written assignments

Numbers

Squares - Squares of numbers from tables

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

-Work out the squares of numbers from tables
-Appreciate the use of tables in mathematical computations

-Read and write the squares of numbers from tables.
-Use table of squares to find squares of numbers between 1 and 10.

What are squares of numbers?

MENTOR Mathematics Learner's Book pg. 46-47
-Square tables
-Square cut-outs

-Observation -Oral questions -Written tests

Numbers

Squares - Squares of numbers from tables

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

-Work out the squares of numbers from tables
-Appreciate the use of tables in mathematical computations

-Read and write the squares of numbers from tables.
-Use table of squares to find squares of numbers between 1 and 10.

What are squares of numbers?

MENTOR Mathematics Learner's Book pg. 46-47
-Square tables
-Square cut-outs

-Observation -Oral questions -Written tests

Numbers

Squares - Squares of numbers greater than 10

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

-Work out squares of numbers greater than 10 using tables
-Show interest in finding patterns in number squares

-Use standard form and table of squares to find squares of numbers greater than 10.
-Practice finding squares of large numbers.

How do we find squares of large numbers?

MENTOR Mathematics Learner's Book pg. 47-48
-Square tables
-Calculator

-Observation -Oral questions -Written assignments

Numbers

Squares - Squares of numbers less than 1

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

-Work out squares of numbers less than 1 using tables
-Develop confidence in working with decimal squares

-Express numbers less than 1 in standard form and use table of squares.
-Practice finding squares of decimal numbers.

Where do we apply squares in real life situations?

MENTOR Mathematics Learner's Book pg. 48-49
-Square tables
-Calculator

-Observation -Oral questions -Written tests

Numbers

Squares - Using calculator for squares

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

-Work out squares of numbers using a calculator
-Appreciate the efficiency of using calculators for computation

-Practice working out squares using a calculator.
-Use calculator to find squares and verify results from tables.

How does a calculator simplify finding squares?

MENTOR Mathematics Learner's Book pg. 49
-Calculator
-Digital devices

-Observation -Oral questions -Practical assessment

Numbers

Squares - Using calculator for squares

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

-Work out squares of numbers using a calculator
-Appreciate the efficiency of using calculators for computation

-Practice working out squares using a calculator.
-Use calculator to find squares and verify results from tables.

How does a calculator simplify finding squares?

MENTOR Mathematics Learner's Book pg. 49
-Calculator
-Digital devices

-Observation -Oral questions -Practical assessment

Numbers

Square Roots - Square roots from tables

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

-Work out the square roots of numbers from tables
-Show interest in the relationship between squares and square roots

-Read and write the square roots of numbers from tables.
-Use square root tables to find square roots of numbers between 1 and 10.

What are square roots of numbers?

MENTOR Mathematics Learner's Book pg. 50-51
-Square root tables
-Calculator

-Observation -Oral questions -Written assignments

Numbers

Square Roots - Square roots of numbers greater than 10

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

-Work out square roots of numbers greater than 10 using tables
-Show curiosity in exploring number patterns

-Use square root tables to find square roots of numbers greater than 10.
-Apply standard form to find square roots of large numbers.

How do we find square roots of large numbers?

MENTOR Mathematics Learner's Book pg. 52-53
-Square root tables
-Calculator

-Observation -Oral questions -Written tests

Numbers

Square Roots - Square roots of numbers greater than 10

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

-Work out square roots of numbers greater than 10 using tables
-Show curiosity in exploring number patterns

-Use square root tables to find square roots of numbers greater than 10.
-Apply standard form to find square roots of large numbers.

How do we find square roots of large numbers?

MENTOR Mathematics Learner's Book pg. 52-53
-Square root tables
-Calculator

-Observation -Oral questions -Written tests

Numbers

Square Roots - Square roots of numbers less than 1

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

-Work out square roots of numbers less than 1 using tables
-Appreciate the relationship between decimals and their square roots

-Express numbers less than 1 in standard form and use square root tables.
-Practice finding square roots of decimal numbers.

Where do we apply square roots in real life situations?

MENTOR Mathematics Learner's Book pg. 53-54
-Square root tables
-Calculator

-Observation -Oral questions -Written assignments

Numbers

Rates - Identifying rates

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

-Identify rates in different situations
-Appreciate the concept of rates in daily life

-Discuss the concept of rates and identify examples from daily life.
-Time different activities and calculate rates.

How do we use rates in real life situations?

MENTOR Mathematics Learner's Book pg. 55
-Rate cards
-Stopwatch

-Observation -Oral questions -Written tests

Numbers

Rates - Working out rates

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

-Work out rates in real life situations
-Show interest in applying rates to solve problems

-Calculate rates for different activities and scenarios.
-Role play activities involving rates.

How do we calculate rates?

MENTOR Mathematics Learner's Book pg. 56-57
-Rate cards
-Price lists

-Observation -Oral questions -Written assignments

Numbers

Ratio - Expressing fractions as ratios

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

-Express fractions as ratios
-Appreciate the relationship between fractions and ratios

-Use cut outs from whole objects or substances to relate fractions to ratios.
-Convert between fractions and ratios.

How do we use ratios in daily activities?

MENTOR Mathematics Learner's Book pg. 58
-Circular and rectangular cut outs
-Ratio cards

-Observation -Oral questions -Written tests

Numbers

Ratio - Expressing fractions as ratios

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

-Express fractions as ratios
-Appreciate the relationship between fractions and ratios

-Use cut outs from whole objects or substances to relate fractions to ratios.
-Convert between fractions and ratios.

How do we use ratios in daily activities?

MENTOR Mathematics Learner's Book pg. 58
-Circular and rectangular cut outs
-Ratio cards

-Observation -Oral questions -Written tests

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 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

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 - 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 - 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