DATA HANDLING AND PROBABILITY

Data Handling - Meaning of data

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

- Define data as a collection of facts or information.
- Identify different types of data.
- Appreciate the importance of data in decision-making.

In groups and individually, learners are guided to:
- Discuss what constitutes data.
- Identify different types of data in their environment.
- Search for meanings of data from various sources.
- Discuss the importance of data in daily life.

What is data?

- Top Scholar Mathematics Grade 7 page 203.
- Dictionaries.
- IT devices.
- Data samples.

- Written exercise. - Oral questions. - Class activities. - Project work.

DATA HANDLING AND PROBABILITY

Data Handling - Collection of data

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

- Collect data from different sources.
- Use appropriate methods for data collection.
- Show interest in collecting relevant data.

In groups and individually, learners are guided to:
- Collect data on favorite colors, games, etc.
- Use different methods like observation, interviews, and questionnaires.
- Record collected data systematically.
- Discuss the importance of accurate data collection.

Why do we collect data?

- Top Scholar Mathematics Grade 7 page 204.
- Data collection tools.
- Notebooks.
- IT devices.

- Written exercise. - Oral questions. - Class activities. - Project work.

DATA HANDLING AND PROBABILITY

Data Handling - Frequency distribution tables

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

- Organize data in frequency distribution tables.
- Use tally marks to count frequencies.
- Appreciate the organization of data for analysis.

In groups and individually, learners are guided to:
- Organize collected data in frequency tables.
- Use tally marks to count occurrences.
- Calculate frequencies from tally marks.
- Interpret information from frequency tables.

How do we represent data in a frequency table?

- Top Scholar Mathematics Grade 7 page 205.
- Data samples.
- Frequency table templates.
- Calculators.

- Written exercise. - Oral questions. - Class activities. - Project work.

DATA HANDLING AND PROBABILITY

Data Handling - Suitable scale for graphs
Data Handling - Pictographs

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

- Determine suitable scales for graphs.
- Apply scaling principles to data representation.
- Show interest in accurate data representation.

In groups and individually, learners are guided to:
- Analyze data ranges to determine appropriate scales.
- Practice selecting scales for different data sets.
- Discuss the impact of scale on graph interpretation.
- Create scaled axes for different graphs.

How do we choose an appropriate scale for a graph?

- Top Scholar Mathematics Grade 7 page 208.
- Graph paper.
- Rulers.
- Data sets.
- Calculators.
- Top Scholar Mathematics Grade 7 page 210.
- Paper.
- Colored pencils.

- Written exercise. - Oral questions. - Class activities. - Project work.

DATA HANDLING AND PROBABILITY

Data Handling - Bar graphs

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

- Draw bar graphs to represent data.
- Interpret information from bar graphs.
- Show interest in using bar graphs for data visualization.

In groups and individually, learners are guided to:
- Choose suitable scales for bar graphs.
- Draw bar graphs to represent data.
- Interpret information from bar graphs.
- Compare bar graphs with pictographs.

How do we represent data in a bar graph?

- Top Scholar Mathematics Grade 7 page 212.
- Graph paper.
- Rulers.
- Colored pencils.
- Data sets.

- Written exercise. - Oral questions. - Class activities. - Project work.

DATA HANDLING AND PROBABILITY

Data Handling - Interpretation of bar graphs

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

- Extract information from bar graphs.
- Make comparisons using bar graphs.
- Appreciate the use of bar graphs for data analysis.

In groups and individually, learners are guided to:
- Read and interpret given bar graphs.
- Answer questions based on bar graphs.
- Make comparisons and draw conclusions.
- Discuss real-life applications of bar graphs.

How do we interpret data from a bar graph?

- Top Scholar Mathematics Grade 7 page 214.
- Sample bar graphs.
- Worksheets with questions.
- IT devices.

- Written exercise. - Oral questions. - Class activities. - Project work.

DATA HANDLING AND PROBABILITY

Data Handling - Pie charts

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

- Draw pie charts to represent data.
- Calculate angles for pie chart sectors.
- Show interest in representing proportional data.

In groups and individually, learners are guided to:
- Calculate angles for pie chart sectors.
- Draw pie charts using protractors and compasses.
- Label pie chart sectors appropriately.
- Discuss when pie charts are most appropriate.

How do we represent data in a pie chart?

- Top Scholar Mathematics Grade 7 page 216.
- Protractors.
- Pair of compasses.
- Calculators.
- Data sets.

- Written exercise. - Oral questions. - Class activities. - Project work.

DATA HANDLING AND PROBABILITY

Data Handling - Interpretation of pie charts

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

- Extract information from pie charts.
- Interpret proportions and percentages from pie charts.
- Appreciate the effectiveness of pie charts for showing proportions.

In groups and individually, learners are guided to:
- Read and interpret given pie charts.
- Answer questions based on pie charts.
- Calculate quantities from percentages or angles.
- Discuss real-life applications of pie charts.

How do we interpret data from a pie chart?

- Top Scholar Mathematics Grade 7 page 219.
- Sample pie charts.
- Worksheets with questions.
- Calculators.

- Written exercise. - Oral questions. - Class activities. - Project work.

DATA HANDLING AND PROBABILITY

Data Handling - Line graphs

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

- Draw line graphs to represent data.
- Connect points with straight lines to show change over time.
- Show interest in representing trends in data.

In groups and individually, learners are guided to:
- Plot points on coordinate axes.
- Connect points with straight lines.
- Label axes and title appropriately.
- Discuss when line graphs are most appropriate.

How do we represent data in a line graph?

- Top Scholar Mathematics Grade 7 page 221.
- Graph paper.
- Rulers.
- Colored pencils.
- Time-series data sets.

- Written exercise. - Oral questions. - Class activities. - Project work.

DATA HANDLING AND PROBABILITY

Data Handling - Interpretation of travel graphs

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

- Extract information from travel graphs.
- Interpret distance-time relationships.
- Appreciate the use of graphs to represent journeys.

In groups and individually, learners are guided to:
- Read and interpret given travel graphs.
- Answer questions on distance, time, and speed.
- Calculate speed from gradient of line segments.
- Identify periods of rest, acceleration, and deceleration.

How do we interpret travel graphs?

- Top Scholar Mathematics Grade 7 page 223.
- Sample travel graphs.
- Worksheets with questions.
- Rulers.
- Calculators.

- Written exercise. - Oral questions. - Class activities. - Project work.

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
Integers - Addition of integers

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

-Observation -Oral questions -Written tests

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 - 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

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
Fractions - Digital applications

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

-Observation -Oral questions -Written assignments

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 - 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 - 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
Decimals - Real life applications

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
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 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

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 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
Rates - Working out 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
MENTOR Mathematics Learner's Book pg. 56-57
-Price lists

-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 - 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

Direct proportion
Direct proportion - Working out 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
MENTOR Mathematics Learner's Book pg. 66-67
-Price lists

-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

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

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 - 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)
Algebraic Expressions - Evaluating algebraic expressions by substitution (1)

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

-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 - 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 - 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 - 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

Measurements

Circles - Circumference of a circle
Circles - Circumference of a circle in real life

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

-Work out the circumference of a circle
-Show interest in finding the circumference of circular objects

-Fix wooden pegs at each end of a rope
-Fix one peg at a point on the ground and use the other end to draw a circle
-Lay a string round the circle drawn and measure the length of the string used
-Discuss and work out the circumference of a circle using the formula C = πd

How do we determine the circumference of a circle?

MENTOR Mathematics Learner's Book pg. 88
-Rope
-Wooden pegs
-String
-Metre ruler
MENTOR Mathematics Learner's Book pg. 89
-Circular objects
-Ruler

-Observation -Oral questions -Written assignments

Measurements

Circles - Length of an arc

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

-Work out the length of an arc of a circle
-Show curiosity in relating arc length to the circumference

-Draw and cut out a circle of radius 3.5 cm
-Work out the circumference of the circular cut out
-Fold the circular cut out to form two equal parts and cut along the fold line
-Work out the length of the arc of the semicircle
-Relate the angle subtended by the arc to the circumference

How do we find the length of an arc of a circle?

MENTOR Mathematics Learner's Book pg. 90-91
-Plain paper
-Pair of scissors
-Ruler

-Observation -Oral questions -Written assignments

Measurements

Circles - Length of an arc (continued)

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

-Calculate the length of an arc for different angles
-Value the use of arc length in problem solving

-Draw and cut out a circle of radius 4 cm
-Fold the circular cut out into four equal parts and cut along the fold lines
-Work out the length of the arc of the quarter circle
-Apply the formula for arc length based on the angle subtended at the center

How do we determine the length of an arc for different angles?

MENTOR Mathematics Learner's Book pg. 92-93
-Plain paper
-Pair of scissors
-Ruler

-Observation -Oral questions -Written tests

Measurements

Circles - Perimeter of a sector

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

-Calculate the perimeter of a sector of a circle
-Show interest in relating the perimeter of a sector to its parts

-Draw and cut out a circle of radius 5 cm
-Fold the circular cut out into four equal parts and cut along the fold lines
-Work out the perimeter of the quarter circle
-Define a sector as a region bound by two radii and an arc
-Calculate the perimeter as the sum of the arc length and the two radii

How do we use sectors of a circle in real life situations?

MENTOR Mathematics Learner's Book pg. 94-95
-Plain paper
-Pair of scissors
-Ruler

-Observation -Oral questions -Written assignments

Measurements

Circles - Perimeter of a sector (continued)

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

-Solve problems involving the perimeter of a sector
-Appreciate the use of sectors in real life situations

-Solve various problems involving sectors of different angles
-Apply the formula for perimeter of a sector in real-life contexts
-Discuss real-life examples of sectors

How do we apply knowledge of sectors to solve real-life problems?

MENTOR Mathematics Learner's Book pg. 96-98
-Calculators
-Charts
-Models of sectors

-Observation -Oral questions -Written tests

Measurements

Area - Area of a circle

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

-Calculate the area of a circle
-Show interest in finding the area of circles

-Go to the field and use a peg, string, tape measure and wood ash to draw circles of different radii
-Work out the area of each circle using the formula A = πr²
-Compare the areas of circles of different radii

How do we use area in real life situations?

MENTOR Mathematics Learner's Book pg. 99
-Peg
-String
-Tape measure
-Wood ash

-Observation -Oral questions -Written assignments

Measurements

Area - Area of a circle in real life

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

-Calculate the area of a circle in real life situations
-Value the use of area of a circle in problem solving

-Solve real-life problems involving area of circles
-Calculate areas of circular objects in the environment
-Convert between different units when calculating areas

How do we apply the area of a circle in real life situations?

MENTOR Mathematics Learner's Book pg. 100-101
-Circular objects
-Calculator
-Measuring tools

-Observation -Oral questions -Written tests

Measurements

Area - Area of a sector
Area - Area of a sector (continued)

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

-Calculate the area of a sector of a circle
-Appreciate the relationship between angle and area of a sector

-Draw a circle of radius 7 cm on plain paper and divide it into two equal parts
-Find the area of the shaded part (semicircle)
-Draw another circle and divide it into 4 equal parts
-Find the area of one part (quarter circle)
-Derive the formula for area of a sector

How do we calculate the area of a sector?

MENTOR Mathematics Learner's Book pg. 102-103
-Ruler
-Plain paper
-Pair of compasses
MENTOR Mathematics Learner's Book pg. 104-105
-Calculator
-Digital resources
-Cut-outs of sectors

-Observation -Oral questions -Written assignments

Measurements

Area - Surface area of cubes

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

-Work out the surface area of a cube
-Appreciate the 3D nature of a cube

-Discuss the properties of a cube
-Cut a cube along its edges to separate the faces
-Measure the sides of each face and calculate their areas
-Find the sum of the areas of all six faces
-Derive the formula for surface area of a cube

How do we determine the surface area of a cube?

MENTOR Mathematics Learner's Book pg. 106-107
-Closed cube
-Ruler
-Pair of scissors

-Observation -Oral questions -Written assignments

Measurements

Area - Surface area of cuboids

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

-Work out the surface area of a cuboid
-Show interest in calculating surface areas of cuboids

-Discuss the properties of a cuboid
-Cut a cuboid along its edges to separate the faces
-Measure the length and width of each face and calculate their areas
-Find the sum of the areas of all six faces
-Derive the formula for surface area of a cuboid

How do we find the surface area of a cuboid?

MENTOR Mathematics Learner's Book pg. 108-109
-Closed cuboid
-Ruler
-Pair of scissors

-Observation -Oral questions -Written tests

Measurements

Area - Surface area of cylinders

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

-Work out the surface area of a cylinder
-Show curiosity in exploring the surface of a cylinder

-Discuss the properties of a cylinder
-Cut a cylinder to separate the two circular parts and the curved surface
-Observe that the curved surface opens up into a rectangle
-Measure the dimensions of the rectangle and the circles
-Calculate the areas of the circular top, circular bottom and the curved surface
-Find the sum of all the areas

How do we determine the surface area of a cylinder?

MENTOR Mathematics Learner's Book pg. 110-111
-Closed cylinder
-Pair of scissors
-Ruler

-Observation -Oral questions -Written assignments

Measurements

Area - Surface area of cylinders (continued)

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

-Calculate the surface area of cylinders in real life situations
-Value the use of surface area in practical contexts

-Apply the formula for surface area of a cylinder in real-life problems
-Calculate the surface area of cylindrical objects
-Solve problems involving packaging and wrapping of cylindrical objects

How do we apply the concept of surface area of cylinders in real life?

MENTOR Mathematics Learner's Book pg. 112-113
-Cylindrical objects
-Calculator
-Measuring tools

-Observation -Oral questions -Written tests