Numbers

Integers - Addition of Integers

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

Perform basic operations on integers in different situations;
Work out combined operations on integers in different situations;
Appreciate the use of integers in real life situations.

Discuss and work out basic operations on integers using number cards and charts.
Play games involving numbers and operations.
Pick integers and perform basic operations.

How do we carry out operations of integers in real life situations?

Top Scholar KLB Mathematics Learners Book Grade 9, page 1.
Number cards.
Charts with basic operations on integers.

Oral questions. Written exercise. Observation.

Numbers

Integers - Subtraction of Integers
Integers - Multiplication of Integers

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

Perform basic operations on integers in different situations;
Work out combined operations on integers in different situations;
Apply integers to real life situations.

Discuss and work out subtraction of integers using number cards.
Solve real-life problems involving subtraction of integers.
Identify operations involving subtraction of integers in daily activities.

How do we apply integers in daily activities?

Top Scholar KLB Mathematics Learners Book Grade 9, page 2.
Number cards.
Charts with subtraction operations.
Top Scholar KLB Mathematics Learners Book Grade 9, page 3.
Charts showing patterns of multiplication of integers.
Multiplication tables.

Oral questions. Written exercise. Class assignment.

Numbers

Integers - Division of Integers

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

Perform division operations on integers;
Work out combined operations involving division of integers;
Apply division of integers to real life situations.

Discuss the division of integers.
Create tables showing patterns in division of integers.
Solve real-life problems involving division of integers.

How do we apply integers in daily activities?

Top Scholar KLB Mathematics Learners Book Grade 9, page 4.
Division tables.
Worksheets with division problems.

Oral questions. Written exercise. Observation.

Numbers

Integers - Combined Operations on Integers

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

Work out combined operations on integers in the correct order;
Apply combined operations on integers to real life situations;
Appreciate the importance of order of operations.

Work out combined operations of integers in the correct order.
Solve real-life problems involving combined operations.
Use IT resources to practice operations on integers.

How do we carry out operations of integers in real life situations?

Top Scholar KLB Mathematics Learners Book Grade 9, page 5.
Calculators.
Computers with mathematical software.

Oral questions. Written exercise. Project work.

Numbers

Cubes and Cube Roots - Working out Cubes of Numbers by Multiplication
Cubes and Cube Roots - Determining Cubes from Mathematical Tables

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

Work out cubes of numbers by multiplication;
Apply cubes of numbers in real life situations;
Appreciate the use of cubes in real-life contexts.

Use stacks of cubes to demonstrate the concept of cube.
Work out cubes of numbers using multiplication.
Relate cubes to volume of cubic objects.

How do we work out the cubes of numbers?

Top Scholar KLB Mathematics Learners Book Grade 9, page 8.
Small cubes.
Charts showing cubes of numbers.
Top Scholar KLB Mathematics Learners Book Grade 9, page 11.
Mathematical tables.
Calculators.

Oral questions. Written exercise. Observation of practical work.

Numbers

Cubes and Cube Roots - Cubes of Numbers Greater Than 10

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

Determine cubes of numbers greater than 10 using mathematical tables;
Apply cube calculations to real life situations;
Appreciate the use of mathematical tables.

Discuss the concept of cubes of numbers greater than 10.
Use mathematical tables to find cubes of numbers greater than 10.
Solve problems involving cubes of large numbers.

How do we work out the cubes of numbers?

Top Scholar KLB Mathematics Learners Book Grade 9, page 12.
Mathematical tables.
Calculators.

Oral questions. Written exercise. Group activity.

Numbers

Cubes and Cube Roots - Cubes of Numbers Less Than 1

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

Determine cubes of numbers less than 1 using mathematical tables;
Apply cube calculations to real life situations;
Show interest in working with decimal numbers.

Discuss the concept of cubes of numbers less than 1.
Use mathematical tables to find cubes of decimal numbers.
Solve problems involving cubes of decimal numbers.

How do we work out the cubes of numbers?

Top Scholar KLB Mathematics Learners Book Grade 9, page 13.
Mathematical tables.
Calculators.

Oral questions. Written exercise. Assignment.

Numbers

Cubes and Cube Roots - Determining Cube Roots by Factor Method
Cubes and Cube Roots - Determining Cube Roots from Mathematical Tables

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

Determine cube roots of numbers by factor method;
Apply cube root calculations to real life situations;
Appreciate the relationship between cubes and cube roots.

Demonstrate finding cube roots using factor method.
Discuss the relationship between cube and cube root.
Solve problems involving cube roots.

How do we work out the cube roots of numbers?

Top Scholar KLB Mathematics Learners Book Grade 9, page 15.
Cubes of different sizes.
Factor trees.
Top Scholar KLB Mathematics Learners Book Grade 9, page 16.
Mathematical tables.
Calculators.

Oral questions. Written exercise. Group work.

Numbers

Cubes and Cube Roots - Cube Roots of Numbers Greater Than 1000

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

Determine cube roots of numbers greater than 1000 using mathematical tables;
Apply cube root calculations to real life situations;
Appreciate mathematical tables as tools for calculation.

Discuss the concept of cube roots of numbers greater than 1000.
Use mathematical tables to find cube roots of large numbers.
Solve problems involving cube roots of large numbers.

How do we work out the cube roots of numbers?

Top Scholar KLB Mathematics Learners Book Grade 9, page 17.
Mathematical tables.
Calculators.

Oral questions. Written exercise. Group presentation.

Numbers

Cubes and Cube Roots - Cube Roots of Numbers Between 0 and 1

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

Determine cube roots of numbers between 0 and 1 using mathematical tables;
Apply cube root calculations to real life situations;
Show interest in working with decimal numbers.

Discuss cube roots of decimal numbers.
Use mathematical tables to find cube roots of decimal numbers.
Solve problems involving cube roots of decimal numbers.

How do we work out the cube roots of numbers?

Top Scholar KLB Mathematics Learners Book Grade 9, page 18.
Mathematical tables.
Calculators.

Oral questions. Written exercise. Assignment.

Numbers

Cubes and Cube Roots - Using a Calculator for Cubes and Cube Roots
Cubes and Cube Roots - Application of Cubes and Cube Roots

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

Work out cubes and cube roots using calculators;
Apply cube and cube root calculations to real life situations;
Appreciate the use of technology in mathematical calculations.

Demonstrate how to use a calculator to find cubes and cube roots.
Compare results from mathematical tables and calculators.
Solve real-life problems using a calculator.

Where do we apply cubes and cube roots in real life situations?

Top Scholar KLB Mathematics Learners Book Grade 9, page 19.
Calculators.
Computers with mathematical software.
Top Scholar KLB Mathematics Learners Book Grade 9, page 21.
Real-life objects with cubic shapes.

Oral questions. Written exercise. Practical assessment.

Numbers

Indices and Logarithms - Expressing Numbers in Index Form

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

Express numbers in index form in different situations;
Use index form to simplify expressions;
Appreciate the use of indices in representing large numbers.

Discuss indices and identify the base.
Express numbers in index form.
Solve problems involving index form.

How do we express numbers in powers?

Top Scholar KLB Mathematics Learners Book Grade 9, page 26.
Charts showing numbers in index form.
Calculators.

Oral questions. Written exercise. Group activity.

Numbers

Indices and Logarithms - Laws of Indices: Multiplication

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

Generate the laws of indices for multiplication;
Apply the laws of indices in different situations;
Appreciate the simplicity brought by using laws of indices.

Show the laws of indices using multiplication.
Use the laws of indices to work out problems.
Simplify expressions using multiplication law of indices.

How do we express numbers in powers?

Top Scholar KLB Mathematics Learners Book Grade 9, page 28.
Charts showing laws of indices.
Calculators.

Oral questions. Written exercise. Assignment.

Numbers

Indices and Logarithms - Laws of Indices: Division

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

Generate the laws of indices for division;
Apply the laws of indices in different situations;
Show interest in using laws of indices for calculation.

Show the laws of indices using division.
Use the laws of indices to work out problems.
Simplify expressions using division law of indices.

How do we express numbers in powers?

Top Scholar KLB Mathematics Learners Book Grade 9, page 29.
Charts showing laws of indices.
Calculators.

Oral questions. Written exercise. Group work.

Numbers

Indices and Logarithms - Laws of Indices: Power of a Power
Indices and Logarithms - Powers of 10 and Common Logarithms

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

Generate the laws of indices for power of a power;
Apply the laws of indices in different situations;
Appreciate the use of laws of indices in simplifying calculations.

Show the laws of indices for power of a power.
Use the laws of indices to work out problems.
Simplify expressions using power of a power law.

How do we express numbers in powers?

Top Scholar KLB Mathematics Learners Book Grade 9, page 30.
Charts showing laws of indices.
Calculators.
Top Scholar KLB Mathematics Learners Book Grade 9, page 33.
Mathematical tables.

Oral questions. Written exercise. Assignment.

Numbers

Indices and Logarithms - Using IT for Indices and Logarithms

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

Use IT to learn more on indices and common logarithms;
Apply indices and logarithms to real life situations;
Appreciate use of technology in learning mathematics.

Use IT to work out common logarithms.
Use mathematical software to explore indices and logarithms.
Create digital presentations on applications of indices and logarithms.

How do we express numbers in powers?

Top Scholar KLB Mathematics Learners Book Grade 9, page 34.
Computers with mathematical software.
Calculators.

Oral questions. Written exercise. Digital project.

Numbers

Compound Proportions and Rates of Work - Introduction to Proportions

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

Understand the concept of proportion in real life situations;
Identify proportional relationships;
Appreciate the importance of proportions in everyday contexts.

Discuss the concept of proportions with examples from daily life.
Identify proportional relationships in various contexts.
Solve simple proportion problems.

What are proportions?

Top Scholar KLB Mathematics Learners Book Grade 9, page 35.
Charts showing proportional relationships.
Real-life examples of proportions.

Oral questions. Written exercise. Observation.

Numbers

Compound Proportions and Rates of Work - Dividing Quantities into Proportional Parts
Compound Proportions and Rates of Work - Direct Proportion

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

Divide quantities into proportional parts in real life situations;
Express proportional parts as fractions;
Appreciate the importance of proportional division in fair sharing.

Discuss and divide quantities into proportional parts.
Express proportional parts as fractions.
Solve problems involving proportional division.

What are proportions?

Top Scholar KLB Mathematics Learners Book Grade 9, page 35.
Counters (bottle tops, small stones).
Charts showing proportional division.
Top Scholar KLB Mathematics Learners Book Grade 9, page 36.
Charts showing direct proportion.
Graphs of direct proportion.

Oral questions. Written exercise. Practical activity.

Numbers

Compound Proportions and Rates of Work - Inverse Proportion

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

Identify inverse proportional relationships;
Solve problems involving inverse proportion;
Appreciate the difference between direct and inverse proportion.

Discuss inverse proportion with real-life examples.
Identify the characteristics of inverse proportion.
Solve problems involving inverse proportion.

What are proportions?

Top Scholar KLB Mathematics Learners Book Grade 9, page 36.
Charts showing inverse proportion.
Graphs of inverse proportion.

Oral questions. Written exercise. Assignment.

Numbers

Compound Proportions and Rates of Work - Relating Different Ratios

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

Relate different ratios in real life situations;
Compare ratios to determine greater or lesser ratios;
Show interest in using ratios for comparison.

Compare and write different ratios.
Convert ratios to equivalent fractions for comparison.
Solve problems involving comparison of ratios.

What are proportions?

Top Scholar KLB Mathematics Learners Book Grade 9, page 37.
Charts showing different ratios.
Real-life examples of ratio comparison.

Oral questions. Written exercise. Group activity.

Numbers

Compound Proportions and Rates of Work - Working Out Compound Proportions
Compound Proportions and Rates of Work - Solving Problems Using Compound Proportions

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

Work out compound proportions using ratio method;
Apply compound proportions to real life situations;
Appreciate the use of compound proportions in problem-solving.

Determine compound proportions using ratios.
Solve problems involving compound proportions.
Discuss real-life applications of compound proportions.

Why do we work fast?

Top Scholar KLB Mathematics Learners Book Grade 9, page 39.
Charts showing compound proportions.
Calculators.
Worksheets with compound proportion problems.

Oral questions. Written exercise. Assignment.

Numbers

Compound Proportions and Rates of Work - Introduction to Rates of Work

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

Understand the concept of rate of work;
Express rate of work in mathematical form;
Appreciate the importance of measuring work efficiency.

Discuss the concept of rates of work.
Express rates of work in mathematical form.
Relate rates of work to time efficiency in daily activities.

Why do we work fast?

Top Scholar KLB Mathematics Learners Book Grade 9, page 40.
Charts showing rates of work.
Real-life examples of work rates.

Oral questions. Written exercise. Observation.

Numbers

Compound Proportions and Rates of Work - Calculating Rates of Work

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

Calculate rates of work in real life situations;
Solve problems involving rates of work;
Show interest in efficiency and time management in work.

Work out rates of work.
Discuss factors affecting rates of work.
Solve problems involving rates of work in real-life contexts.

Why do we work fast?

Top Scholar KLB Mathematics Learners Book Grade 9, page 40.
Charts showing rates of work.
Calculators.

Oral questions. Written exercise. Group work.

Numbers

Compound Proportions and Rates of Work - Combined Rates of Work

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

Calculate combined rates of work when multiple workers or machines work together;
Apply rates of work to real life situations;
Appreciate cooperation and teamwork in accomplishing tasks.

Work out combined rates of work.
Solve problems involving tasks completed by multiple workers.
Discuss real-life scenarios involving combined rates of work.

Why do we work fast?

Top Scholar KLB Mathematics Learners Book Grade 9, page 41.
Charts showing combined rates of work.
Calculators.

Oral questions. Written exercise. Assignment.

Numbers

Compound Proportions and Rates of Work - Rates of Work and Time
Compound Proportions and Rates of Work - Rates of Work and Output

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

Calculate time required to complete tasks based on rates of work;
Apply inverse proportion in rates of work problems;
Show interest in time efficiency and planning.

Discuss the relationship between rate of work and time.
Calculate time required to complete tasks based on work rates.
Solve problems involving time planning based on work rates.

Why do we work fast?

Top Scholar KLB Mathematics Learners Book Grade 9, page 41.
Worksheets with time and rate problems.
Calculators.
Top Scholar KLB Mathematics Learners Book Grade 9, page 42.
Charts showing productivity and rates.

Oral questions. Written exercise. Group activity.

Numbers

Compound Proportions and Rates of Work - Using IT for Rates of Work

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

Use IT devices to learn more on compound proportions and rates of work;
Apply compound proportions and rates of work to real life situations;
Appreciate use of technology in learning mathematics.

Play games on rates of work using IT devices.
Use spreadsheets to calculate and analyze rates of work.
Create digital presentations on applications of rates of work.

Why do we work fast?

Top Scholar KLB Mathematics Learners Book Grade 9, page 42.
Computers with spreadsheet software.
Calculators.

Oral questions. Written exercise. Digital project.

Algebra

Matrices - Identifying a Matrix

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

Identify a matrix in different situations;
Represent tabular information as a matrix;
Appreciate the use of matrices in organizing information.

Discuss the use of tables such as football league tables, travel schedules, shopping lists.
Count the number of rows and columns in tables.
Represent tables as matrices.

How do we use matrices in real life situations?

Top Scholar KLB Mathematics Learners Book Grade 9, page 43.
Charts showing tables and matrices.
Real-life examples of tables.

Oral questions. Written exercise. Observation.

Algebra

Matrices - Determining the Order of a Matrix
Matrices - Determining the Position of Items in a Matrix

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

Determine the order of a matrix in different situations;
Identify rows and columns in a matrix;
Show interest in describing matrices systematically.

Arrange items in rows and columns and discuss how to represent a matrix.
Organize objects in rows and columns to form matrices.
Give the order of matrices in terms of rows and columns.

How do we use matrices in real life situations?

Top Scholar KLB Mathematics Learners Book Grade 9, page 45.
Paper cards for creating matrices.
Worksheets with various matrices.
Top Scholar KLB Mathematics Learners Book Grade 9, page 46.
Paper cards labeled with letters or numbers.
Charts showing element positions.

Oral questions. Written exercise. Practical activity.

Algebra

Matrices - Determining Compatibility for Addition

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

Determine compatibility of matrices for addition;
Identify matrices of the same order;
Show interest in mathematical conditions for operations.

Discuss and identify matrices with equal numbers of rows and columns.
Compare orders of different matrices.
Determine which matrices can be added together.

How do we use matrices in real life situations?

Top Scholar KLB Mathematics Learners Book Grade 9, page 47.
Charts showing matrices of various orders.
Worksheets with matrices.

Oral questions. Written exercise. Assignment.

Algebra

Matrices - Determining Compatibility for Subtraction

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

Determine compatibility of matrices for subtraction;
Identify matrices of the same order;
Appreciate the rules of matrix operations.

Discuss and identify matrices with equal numbers of rows and columns.
Compare orders of different matrices.
Determine which matrices can be subtracted.

How do we use matrices in real life situations?

Top Scholar KLB Mathematics Learners Book Grade 9, page 49.
Charts showing matrices of various orders.
Worksheets with matrices.

Oral questions. Written exercise. Group work.

Algebra

Matrices - Addition of Matrices
Matrices - Subtraction of Matrices

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

Carry out addition of matrices in real life situations;
Add corresponding elements in compatible matrices;
Show interest in using matrices to solve problems.

Add matrices by adding corresponding elements.
Solve real-life problems involving addition of matrices.
Discuss what is represented by rows and columns when adding matrices.

How do we use matrices in real life situations?

Top Scholar KLB Mathematics Learners Book Grade 9, page 51.
Charts showing addition of matrices.
Calculators.
Top Scholar KLB Mathematics Learners Book Grade 9, page 54.
Charts showing subtraction of matrices.

Oral questions. Written exercise. Assignment.

Algebra

Matrices - Application of Matrices

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

Apply matrices in real life situations;
Use matrices to organize and process information;
Reflect on the use of matrices in real life.

Discuss real-life applications of matrices.
Create and solve problems involving matrices.
Present projects showcasing applications of matrices.

How do we use matrices in real life situations?

Top Scholar KLB Mathematics Learners Book Grade 9, page 57.
Real-life data that can be represented in matrices.
Calculators.

Oral questions. Written exercise. Project work.

Algebra

Equations of Straight Lines - Introduction to Gradient

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

Understand the concept of gradient in real life situations;
Relate gradient to steepness;
Appreciate the concept of gradient in everyday contexts.

Discuss steepness in relation to gradient from the immediate environment.
Compare different slopes in the environment.
Identify examples of gradients in daily life.

How do we use gradient or steepness in our daily activities?

Top Scholar KLB Mathematics Learners Book Grade 9, page 58.
Pictures of hills and slopes.
Charts showing different gradients.

Oral questions. Written exercise. Observation.

Algebra

Equations of Straight Lines - Identifying the Gradient
Equations of Straight Lines - Measuring Gradient

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

Identify the gradient in real life situations;
Compare different gradients;
Show interest in measuring steepness in real-life objects.

Incline objects at different positions to demonstrate gradient.
Compare different gradients and identify steeper slopes.
Relate gradient to real-life applications.

How do we use gradient or steepness in our daily activities?

Top Scholar KLB Mathematics Learners Book Grade 9, page 58.
Ladders or sticks for demonstrating gradients.
Pictures of hills and slopes.
Top Scholar KLB Mathematics Learners Book Grade 9, page 59.
Rulers and measuring tapes.
Inclined objects for measurement.

Oral questions. Written exercise. Practical activity.

Algebra

Equations of Straight Lines - Gradient from Two Known Points

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

Determine the gradient of a straight line from two known points;
Calculate gradient using the formula;
Show interest in mathematical approaches to measuring steepness.

Discuss how to calculate gradient from two points.
Plot points on a Cartesian plane and draw lines.
Calculate gradients of lines using the formula.

How do we use gradient or steepness in our daily activities?

Top Scholar KLB Mathematics Learners Book Grade 9, page 60.
Graph paper.
Rulers and protractors.

Oral questions. Written exercise. Assignment.

Algebra

Equations of Straight Lines - Positive and Negative Gradients

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

Distinguish between positive and negative gradients;
Interpret the meaning of gradient sign;
Appreciate the visual representation of gradient sign.

Draw lines with positive and negative gradients.
Compare the direction of lines with different gradient signs.
Interpret the meaning of positive and negative gradients in real-life contexts.

How do we use gradient or steepness in our daily activities?

Top Scholar KLB Mathematics Learners Book Grade 9, page 61.
Graph paper.
Charts showing lines with different gradients.

Oral questions. Written exercise. Group activity.

Algebra

Equations of Straight Lines - Zero and Undefined Gradients

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

Identify lines with zero and undefined gradients;
Relate gradient to direction of lines;
Show interest in special cases of gradients.

Draw horizontal and vertical lines on a Cartesian plane.
Calculate gradients of horizontal and vertical lines.
Discuss the special cases of zero and undefined gradients.

How do we use gradient or steepness in our daily activities?

Top Scholar KLB Mathematics Learners Book Grade 9, page 61.
Graph paper.
Charts showing horizontal and vertical lines.

Oral questions. Written exercise. Group presentation.

Algebra

Equations of Straight Lines - Equation from Two Points
Equations of Straight Lines - Deriving the Equation from Two Points

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

Determine the equation of a straight line given two points;
Apply the point-slope formula;
Appreciate the use of equations to represent lines.

Work out the equation of a straight line given two points.
Derive the equation using the gradient formula.
Verify equations by substituting points.

How do we use gradient or steepness in our daily activities?

Top Scholar KLB Mathematics Learners Book Grade 9, page 62.
Graph paper.
Calculators.
Top Scholar KLB Mathematics Learners Book Grade 9, page 63.
Worksheets with coordinate points.

Oral questions. Written exercise. Group work.

Algebra

Equations of Straight Lines - Equation from a Point and Gradient

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

Determine the equation of a straight line from a known point and gradient;
Apply the point-slope formula;
Show interest in different ways of finding line equations.

Work out the equation of a straight line given a point and gradient.
Apply the point-slope formula.
Solve problems involving lines with given point and gradient.

How do we use gradient or steepness in our daily activities?

Top Scholar KLB Mathematics Learners Book Grade 9, page 64.
Graph paper.
Calculators.

Oral questions. Written exercise. Assignment.

Algebra

Equations of Straight Lines - Express Equation in Form y = mx + c

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

Express the equation of a straight line in the form y = mx + c;
Identify the gradient and y-intercept from the equation;
Appreciate the standard form of line equations.

Discuss and rewrite equations in the form y = mx + c.
Identify the gradient (m) and y-intercept (c) from equations.
Solve problems involving standard form of line equations.

How do we use gradient or steepness in our daily activities?

Top Scholar KLB Mathematics Learners Book Grade 9, page 65.
Charts showing line equations.
Graph paper.

Oral questions. Written exercise. Group presentation.

Algebra

Equations of Straight Lines - Interpreting y = mx + c
Equations of Straight Lines - Graphing Lines from Equations

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

Interpret the equation y = mx + c in different situations;
Relate m to gradient and c to y-intercept;
Show interest in interpreting mathematical equations.

Discuss the meaning of m and c in the equation y = mx + c.
Draw lines with different values of m and c.
Interpret real-life scenarios using line equations.

How do we use gradient or steepness in our daily activities?

Top Scholar KLB Mathematics Learners Book Grade 9, page 67.
Graph paper.
Charts showing lines with different gradients.
Top Scholar KLB Mathematics Learners Book Grade 9, page 68.
Rulers.

Oral questions. Written exercise. Group activity.

Algebra

Equations of Straight Lines - x and y Intercepts

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

Determine the x and y intercepts of a straight line;
Find intercepts by substituting x=0 and y=0;
Appreciate the geometrical significance of intercepts.

Work out the value of x when y is zero and the value of y when x is zero.
Identify intercepts from graphs of straight lines.
Solve problems involving intercepts.

How do we represent linear inequalities in graphs?

Top Scholar KLB Mathematics Learners Book Grade 9, page 70.
Graph paper.
Rulers.

Oral questions. Written exercise. Assignment.

Algebra

Equations of Straight Lines - Using Intercepts to Graph Lines

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

Draw graphs of straight lines using intercepts;
Calculate intercepts from line equations;
Show interest in different methods of graphing lines.

Calculate x and y intercepts from line equations.
Draw graphs of lines using the intercepts.
Compare graphing using intercepts versus using tables of values.

How do we represent linear inequalities in graphs?

Top Scholar KLB Mathematics Learners Book Grade 9, page 71.
Graph paper.
Rulers.

Oral questions. Written exercise. Group work.

Algebra

Equations of Straight Lines - Parallel and Perpendicular Lines
Equations of Straight Lines - Real Life Applications

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

Identify parallel and perpendicular lines from their equations;
Determine the relationship between gradients of parallel and perpendicular lines;
Appreciate geometric relationships in algebraic form.

Discuss the gradient relationship in parallel and perpendicular lines.
Draw parallel and perpendicular lines on graph paper.
Solve problems involving parallel and perpendicular lines.

How do we use gradient or steepness in our daily activities?

Top Scholar KLB Mathematics Learners Book Grade 9, page 71.
Graph paper.
Rulers and protractors.
Top Scholar KLB Mathematics Learners Book Grade 9, page 72.
Real-life data that can be modeled using lines.
Computers with graphing software.

Oral questions. Written exercise. Group presentation.

Algebra

Linear Inequalities - Introduction to Inequalities

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

Understand the concept of inequality;
Represent inequalities using symbols;
Appreciate the use of inequalities in expressing constraints.

Discuss inequality statements from real-life situations.
Represent inequalities using appropriate symbols.
Identify examples of inequalities in everyday life.

How do we represent linear inequalities in graphs?

Top Scholar KLB Mathematics Learners Book Grade 9, page 75.
Charts showing inequality symbols.
Real-life examples of inequalities.

Oral questions. Written exercise. Observation.

Algebra

Linear Inequalities - Solving Linear Inequalities (Addition and Subtraction)

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

Solve linear inequalities in one unknown involving addition and subtraction;
Apply linear inequalities to real life situations;
Show interest in using inequalities to solve problems.

Form and work out inequalities in one unknown involving addition and subtraction.
Discuss the rules for solving inequalities.
Solve real-life problems using inequalities.

How do we represent linear inequalities in graphs?

Top Scholar KLB Mathematics Learners Book Grade 9, page 75.
Charts showing inequality symbols.
Number lines.

Oral questions. Written exercise. Group activity.

Algebra

Linear Inequalities - Solving Linear Inequalities (Multiplication and Division)

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

Solve linear inequalities in one unknown involving multiplication and division;
Apply linear inequalities to real life situations;
Appreciate the rule for inequality sign when multiplying or dividing by negative numbers.

Discuss inequality operations with multiplication and division.
Demonstrate the effect of multiplication by negative numbers on inequality signs.
Solve inequalities involving multiplication and division.

How do we represent linear inequalities in graphs?

Top Scholar KLB Mathematics Learners Book Grade 9, page 76.
Charts showing inequality rules.
Number lines.

Oral questions. Written exercise. Class assignment.

Algebra

Linear Inequalities - Solving Linear Inequalities (Combined Operations)
Linear Inequalities - Graphical Representation in One Unknown

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

Solve linear inequalities in one unknown involving more than one operation;
Apply complex linear inequalities to real life situations;
Show interest in solving multi-step inequalities.

Form and solve inequalities involving multiple operations.
Apply step-by-step approach to solving complex inequalities.
Solve real-life problems using complex inequalities.

How do we represent linear inequalities in graphs?

Top Scholar KLB Mathematics Learners Book Grade 9, page 77.
Worksheets with inequality problems.
Number lines.
Top Scholar KLB Mathematics Learners Book Grade 9, page 78.
Graph paper.

Oral questions. Written exercise. Group work.

Algebra

Linear Inequalities - Graphical Representation in Two Unknowns

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

Represent linear inequalities in two unknowns graphically;
Identify regions that satisfy inequalities;
Show interest in graphical representation of solutions.

Generate a table of values for boundary lines.
Draw linear inequalities in two unknowns on Cartesian planes.
Indicate and shade regions that satisfy inequalities.

How do we use linear inequalities in real life situations?

Top Scholar KLB Mathematics Learners Book Grade 9, page 79.
Graph paper.
Rulers and protractors.

Oral questions. Written exercise. Assignment.

MEASUREMENTS

Area of a Pentagon

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

-Identify and state the number of sides in a pentagon;
-Calculate the area of a regular pentagon;
-Apply the formula for finding the area of a pentagon in real-life situations;
-Develop genuine interest in calculating the area of regular pentagons.

In groups and individually, learners are guided to:
-Discuss the properties of regular polygons;
-Use cut-outs to work out the area of pentagons;
-Identify objects with pentagonal shapes in their environment;
-Calculate the area of a regular pentagon using the formula A = (5/2)s²sin(72°).

How do we determine the area of different surfaces?

-Mathematics learners book grade 9 page 87;
-Cut-outs of regular pentagons;
-Chart with diagrams of pentagons;
-Calculator;
-Ruler and protractor.

-Observation; -Oral questions; -Written exercises; -Group presentations.

MEASUREMENTS

Area of a Pentagon
Area of a Hexagon

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

-Work out the area of a regular pentagon when different measurements are given;
-Solve problems involving the height and side length of a pentagon;
-Interpret and solve word problems involving area of pentagons;
-Appreciate the use of geometry in calculating areas of pentagons.

In groups and individually, learners are guided to:
-Work out problems on area of pentagons with given side lengths;
-Calculate the area of pentagons where vertices are at a given distance from the center;
-Relate the height of triangles formed in a pentagon to the area;
-Solve practical problems involving area of pentagons.

How can we calculate the area of a pentagon in different situations?

-Mathematics learners book grade 9 page 89;
-Pentagonal objects;
-Calculator;
-Worked examples on the board.
-Mathematics learners book grade 9 page 90;
-Cut-outs of regular hexagons;
-Chart with diagrams of hexagons;
-Ruler and protractor;
-Calculator.

-Written exercises; -Homework assignments; -Group work assessment; -Mathematical problem-solving tasks.

MEASUREMENTS

Area of a Hexagon

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

-Solve problems involving area of hexagons with different measurements;
-Relate the area of a hexagon to real-life situations;
-Demonstrate ability to work out complex hexagon area problems;
-Show genuine interest in calculating areas of hexagons.

In groups and individually, learners are guided to:
-Calculate the area of hexagons with given side lengths;
-Solve problems where vertices are at a given distance from the center;
-Identify real-life objects with hexagonal shapes and calculate their areas;
-Work out more challenging problems involving hexagons.

Where do we find hexagonal shapes in our daily lives?

-Mathematics learners book grade 9 page 91;
-Hexagonal objects;
-Calculator;
-Worked examples on the board.

-Written exercises; -Problem-solving tasks; -Peer assessment; -Mathematical problem-solving tasks.

MEASUREMENTS

Surface Area of Triangular and Rectangular-Based Prisms

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

-Draw a triangular prism and identify its faces, edges, and vertices;
-Develop a net for a triangular prism;
-Calculate the surface area of a triangular prism using its net;
-Appreciate the practical applications of surface area calculations.

In groups, learners are guided to:
-Collect from the environment objects that are triangular prisms;
-Draw and sketch nets of triangular prisms;
-Measure dimensions of the faces on the nets;
-Calculate the area of each face and add to find the total surface area;
-Discuss and share results with other groups.

How do we determine the surface area of a triangular prism?

-Mathematics learners book grade 9 page 94;
-Manila paper for making nets;
-Scissors;
-Rulers;
-Objects with triangular prism shapes;
-Glue.

-Observation of practical work; -Oral questions; -Written exercises; -Group work assessment.

MEASUREMENTS

Surface Area of Triangular and Rectangular-Based Prisms
Surface Area of Triangular, Rectangular and Square-Based Pyramids

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

-Draw a rectangular prism and identify its faces, edges, and vertices;
-Develop a net for a rectangular prism;
-Calculate the surface area of a rectangular prism using its net;
-Show interest in relating surface area to real-life applications.

In groups, learners are guided to:
-Collect objects that are rectangular prisms;
-Draw and sketch nets of rectangular prisms;
-Measure dimensions of the faces on the nets;
-Calculate the area of each face and add to find the total surface area;
-Discuss and share results with other groups.

How do we determine the surface area of a rectangular prism?

-Mathematics learners book grade 9 page 95;
-Manila paper for making nets;
-Scissors;
-Rulers;
-Objects with rectangular prism shapes (boxes);
-Glue.
-Mathematics learners book grade 9 page 96;
-Objects with triangular pyramid shapes;

-Observation of practical work; -Oral questions; -Written exercises; -Group work assessment.

MEASUREMENTS

Surface Area of Triangular, Rectangular and Square-Based Pyramids

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

-Draw a rectangular-based pyramid and identify its faces, edges, and vertices;
-Develop a net for a rectangular-based pyramid;
-Calculate the surface area of a rectangular-based pyramid;
-Appreciate the relationship between nets and surface area calculations.

In groups, learners are guided to:
-Draw and sketch nets of rectangular-based pyramids;
-Measure dimensions of the faces on the nets;
-Calculate the area of each face and add to find the total surface area;
-Discuss and share results with other groups;
-Solve problems involving surface area of rectangular-based pyramids.

How do we determine the surface area of a rectangular-based pyramid?

-Mathematics learners book grade 9 page 97;
-Manila paper for making nets;
-Scissors;
-Rulers;
-Objects with rectangular pyramid shapes;
-Glue.

-Observation of practical work; -Oral questions; -Written exercises; -Model making assessment.

MEASUREMENTS

Area of a Sector and Segment of a Circle

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

-Define a sector of a circle;
-Calculate the area of a sector using the formula A = (θ/360°) × πr²;
-Relate angle at the center to the area of a sector;
-Show interest in calculating area of sectors.

In groups, learners are guided to:
-Draw circles of different radii on paper;
-Mark points on the circumference to form sectors with different angles;
-Cut along radii and arc to form sectors;
-Measure angles at the center and calculate the area of sectors;
-Discuss and share results with other groups.

How does the angle at the center affect the area of a sector?

-Mathematics learners book grade 9 page 99;
-Circular paper cut-outs;
-Protractors;
-Scissors;
-Rulers;
-Scientific calculators.

-Observation of practical work; -Oral questions; -Written exercises; -Group work assessment.

MEASUREMENTS

Area of a Sector and Segment of a Circle
Surface Area of a Cone in Real Life Situations

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

-Define a segment of a circle;
-Differentiate between a sector and a segment of a circle;
-Calculate the area of a segment of a circle;
-Show genuine interest in calculating areas of segments.

In groups, learners are guided to:
-Draw circles and form segments by drawing chords;
-Cut out segments from paper circles;
-Derive the formula for the area of a segment (sector area minus triangle area);
-Calculate the area of segments with different angles and chord lengths;
-Discuss and share results with other groups.

How do we calculate the area of a segment of a circle?

-Mathematics learners book grade 9 page 101;
-Circular paper cut-outs;
-Protractors;
-Scissors;
-Rulers;
-Scientific calculators.
-Mathematics learners book grade 9 page 102;
-Conical objects (funnels, party hats);
-Glue.

-Observation of practical work; -Oral questions; -Written exercises; -Group work assessment.

MEASUREMENTS

Surface Area of a Cone in Real Life Situations

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

-Calculate the curved surface area of a cone using the formula A = πrl;
-Calculate the total surface area of a cone using the formula A = πr² + πrl;
-Solve problems involving surface area of cones;
-Appreciate the application of surface area in real-life situations.

In groups, learners are guided to:
-Measure dimensions of cone models (radius and slant height);
-Calculate the curved surface area of cones;
-Calculate the total surface area of cones (closed cones);
-Solve problems involving surface area of cones in real-life contexts;
-Discuss and share results with other groups.

How do we calculate the surface area of a cone?

-Mathematics learners book grade 9 page 103;
-Cone models;
-Rulers;
-Scientific calculators;
-Charts showing formulas for surface area of cones.

-Oral questions; -Written exercises; -Problem-solving assessment; -Peer assessment.

MEASUREMENTS

Surface Area of a Sphere in Real Life Situations

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

-Identify and draw a sphere;
-Identify spherical objects in the environment;
-Calculate the surface area of a sphere using the formula A = 4πr²;
-Develop interest in calculating surface area of spheres.

In groups, learners are guided to:
-Collect objects with spherical shapes;
-Measure the diameter/radius of spherical objects;
-Calculate the surface area of spheres using the formula A = 4πr²;
-Discuss and share findings with other groups;
-Relate surface area of spheres to real-life applications.

What are some real-life objects that have a spherical shape?

-Mathematics learners book grade 9 page 104;
-Spherical objects (balls, oranges);
-Measuring tape/rulers;
-Scientific calculators;
-Charts showing formulas for surface area of spheres.

-Observation; -Oral questions; -Written exercises; -Group presentations.