Numbers

Integers - Addition of Integers
Integers - Subtraction 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.
Top Scholar KLB Mathematics Learners Book Grade 9, page 2.
Charts with subtraction operations.

Oral questions. Written exercise. Observation.

Numbers

Integers - Multiplication of Integers

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

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

Discuss multiplication of integers using patterns.
Work in groups to create tables of multiplication of positive and negative integers.
Solve problems involving multiplication of integers.

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

Top Scholar KLB Mathematics Learners Book Grade 9, page 3.
Charts showing patterns of multiplication of integers.
Multiplication tables.

Oral questions. Written exercise. Group presentation.

Numbers

Integers - Division of Integers
Integers - Combined Operations on 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.
Top Scholar KLB Mathematics Learners Book Grade 9, page 5.
Calculators.
Computers with mathematical software.

Oral questions. Written exercise. Observation.

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
Cubes and Cube Roots - Determining Cube Roots by Factor Method

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

Oral questions. Written exercise. Assignment.

Numbers

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 from mathematical tables;
Apply cube root calculations to real life situations;
Show interest in using mathematical tables.

Read the cube roots of numbers from mathematical tables.
Compare cube roots found by factorization and from tables.
Solve problems involving cube roots.

How do we work out the cube roots of numbers?

Top Scholar KLB Mathematics Learners Book Grade 9, page 16.
Mathematical tables.
Calculators.

Oral questions. Written exercise. Assignment.

Numbers

Cubes and Cube Roots - Cube Roots of Numbers Greater Than 1000
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 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.
Top Scholar KLB Mathematics Learners Book Grade 9, page 18.

Oral questions. Written exercise. Group presentation.

Numbers

Cubes and Cube Roots - Using a Calculator for 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.

Oral questions. Written exercise. Practical assessment.

Numbers

Cubes and Cube Roots - Application of Cubes and Cube Roots
Indices and Logarithms - Expressing Numbers in Index Form

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

Apply cubes and cube roots in real life situations;
Solve problems involving cubes and cube roots;
Appreciate the relevance of cubes and cube roots in everyday life.

Discuss applications of cubes and cube roots in real life.
Solve real-life problems involving cubes and cube roots.
Create projects demonstrating applications of cubes and cube roots.

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

Top Scholar KLB Mathematics Learners Book Grade 9, page 21.
Real-life objects with cubic shapes.
Calculators.
Top Scholar KLB Mathematics Learners Book Grade 9, page 26.
Charts showing numbers in index form.

Oral questions. Written exercise. Project work.

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
Indices and Logarithms - Laws of Indices: Power of a Power

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.
Top Scholar KLB Mathematics Learners Book Grade 9, page 30.

Oral questions. Written exercise. Group work.

Numbers

Indices and Logarithms - Powers of 10 and Common Logarithms
Indices and Logarithms - Using IT for Indices and Logarithms

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

Relate powers of 10 to common logarithms;
Apply common logarithms in different situations;
Show interest in using logarithms for calculation.

Discuss and relate powers of 10 to common logarithms.
Use mathematical tables to find common logarithms.
Solve problems involving common logarithms.

How do we express numbers in powers?

Top Scholar KLB Mathematics Learners Book Grade 9, page 33.
Mathematical tables.
Calculators.
Top Scholar KLB Mathematics Learners Book Grade 9, page 34.
Computers with mathematical software.

Oral questions. Written exercise. Group presentation.

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
Compound Proportions and Rates of Work - Working Out Compound Proportions

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

Oral questions. Written exercise. Group activity.

Numbers

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

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

Apply compound proportions to solve complex real-life problems;
Develop strategies for solving compound proportion problems;
Show interest in the versatility of proportional reasoning.

Work out complex problems involving compound proportions.
Develop step-by-step approach to solving compound proportion problems.
Apply proportional reasoning to real-life scenarios.

Why do we work fast?

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

Oral questions. Written exercise. Group presentation.

Numbers

Compound Proportions and Rates of Work - Introduction to Rates of Work
Compound Proportions and Rates of Work - Calculating 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.
Calculators.

Oral questions. Written exercise. Observation.

Numbers

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

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.
Worksheets with time and rate problems.

Oral questions. Written exercise. Assignment.

Numbers

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

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

Calculate output based on rates of work;
Apply direct proportion in rates of work problems;
Appreciate the relationship between rate and productivity.

Discuss the relationship between rate of work and output.
Calculate output based on different work rates.
Solve problems involving productivity and work rates.

Why do we work fast?

Top Scholar KLB Mathematics Learners Book Grade 9, page 42.
Charts showing productivity and rates.
Calculators.

Oral questions. Written exercise. Assignment.

Numbers
Algebra

Compound Proportions and Rates of Work - Using IT for Rates of Work
Matrices - Identifying a Matrix

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

Oral questions. Written exercise. Digital project.

Algebra

Matrices - Determining the Order of 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.

Oral questions. Written exercise. Practical activity.

Algebra

Matrices - Determining the Position of Items in a Matrix
Matrices - Determining Compatibility for Addition

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

Determine the position of items in a matrix;
Identify elements by their positions;
Appreciate the importance of positional notation in matrices.

Discuss and identify the position of each item in a matrix.
Use paper cards to create matrices and identify positions.
Solve problems involving position of elements in matrices.

How do we use matrices in real life situations?

Top Scholar KLB Mathematics Learners Book Grade 9, page 46.
Paper cards labeled with letters or numbers.
Charts showing element positions.
Top Scholar KLB Mathematics Learners Book Grade 9, page 47.
Charts showing matrices of various orders.
Worksheets with matrices.

Oral questions. Written exercise. Group activity.

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
Equations of Straight Lines - Identifying the 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.
Ladders or sticks for demonstrating gradients.

Oral questions. Written exercise. Observation.

Algebra

Equations of Straight Lines - Measuring Gradient
Equations of Straight Lines - Gradient from Two Known Points

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

Measure gradient as a ratio of vertical to horizontal distance;
Calculate gradients from physical objects;
Appreciate the mathematical definition of gradient.

Measure vertical and horizontal distances of inclined objects.
Calculate gradient as ratio of vertical to horizontal distance.
Compare measured gradients with observed steepness.

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

Top Scholar KLB Mathematics Learners Book Grade 9, page 59.
Rulers and measuring tapes.
Inclined objects for measurement.
Top Scholar KLB Mathematics Learners Book Grade 9, page 60.
Graph paper.
Rulers and protractors.

Oral questions. Written exercise. Group work.

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
Equations of Straight Lines - Equation from Two Points

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.
Top Scholar KLB Mathematics Learners Book Grade 9, page 62.
Calculators.

Oral questions. Written exercise. Group presentation.

Algebra

Equations of Straight Lines - Deriving the Equation from Two Points

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

Derive the equation of a line step-by-step from two points;
Apply algebraic manipulation to derive the equation;
Show interest in mathematical derivations.

Derive step-by-step the equation of a line from two points.
Apply algebraic manipulation to simplify the equation.
Verify the derived equation using the given points.

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

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

Oral questions. Written exercise. Assignment.

Algebra

Equations of Straight Lines - Equation from a Point and Gradient
Equations of Straight Lines - Express Equation in Form y = mx + c

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

Oral questions. Written exercise. Assignment.

Algebra

Equations of Straight Lines - Interpreting y = mx + c

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.

Oral questions. Written exercise. Group activity.

Algebra

Equations of Straight Lines - Graphing Lines from Equations
Equations of Straight Lines - x and y Intercepts

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

Draw graphs of straight lines from their equations;
Use the gradient and y-intercept to plot lines;
Appreciate the visual representation of equations.

Generate tables of values from line equations.
Plot points and draw lines from the equations.
Compare lines with different gradients and y-intercepts.

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

Top Scholar KLB Mathematics Learners Book Grade 9, page 68.
Graph paper.
Rulers.
Top Scholar KLB Mathematics Learners Book Grade 9, page 70.

Oral questions. Written exercise. Practical activity.

Algebra

Equations of Straight Lines - Using Intercepts to Graph Lines
Equations of Straight Lines - Parallel and Perpendicular 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.
Rulers and protractors.

Oral questions. Written exercise. Group work.

Algebra

Equations of Straight Lines - Real Life Applications

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

Apply equations of straight lines to real life situations;
Model real-life scenarios using line equations;
Recognize the use of line equations in real life.

Discuss real-life applications of line equations.
Create and solve problems involving line equations.
Use IT resources to explore applications of line equations.

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

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. Project work.

Algebra

Linear Inequalities - Introduction to Inequalities
Linear Inequalities - Solving Linear Inequalities (Addition and Subtraction)

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.
Number lines.

Oral questions. Written exercise. Observation.

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.
-Mathematics learners book grade 9 page 89;
-Pentagonal objects;
-Worked examples on the board.

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

MEASUREMENTS

Area of a Hexagon

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

-Identify and state the number of sides in a hexagon;
-Calculate the area of a regular hexagon;
-Use triangles to work out the area of a hexagon;
-Show interest in learning about hexagons and their properties.

In groups and individually, learners are guided to:
-Discuss the properties of regular hexagons;
-Trace hexagons on paper and join vertices to the center to form triangles;
-Measure the height and base of triangles formed in the hexagon;
-Calculate the area of hexagons using the formula A = (3√3/2)s².

How many triangles can be formed by joining the center of a hexagon to each vertex?

-Mathematics learners book grade 9 page 90;
-Cut-outs of regular hexagons;
-Chart with diagrams of hexagons;
-Ruler and protractor;
-Calculator.
-Mathematics learners book grade 9 page 91;
-Hexagonal objects;
-Calculator;
-Worked examples on the board.

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

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.
-Mathematics learners book grade 9 page 101;

-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:

-Identify and draw a cone;
-Develop a net for a cone;
-Identify the parts of a cone (base, curved surface, apex, slant height);
-Show interest in relating cones to real-life objects.

In groups, learners are guided to:
-Collect objects with conical shapes;
-Draw and discuss features of cones;
-Draw circles and cut out sectors to form cone nets;
-Fold sectors to form cones and observe the relationship between the sector angle and the cone dimensions;
-Discuss and share findings with other groups.

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

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

-Observation of practical work; -Oral questions; -Model making assessment; -Group presentations.

MEASUREMENTS

Surface Area of a Cone in Real Life Situations
Surface Area of a Sphere 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.
-Mathematics learners book grade 9 page 104;
-Spherical objects (balls, oranges);
-Measuring tape/rulers;
-Charts showing formulas for surface area of spheres.

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

MEASUREMENTS

Volume of Triangular and Rectangular-Based Prisms

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

-Identify triangular prisms;
-Calculate the volume of a triangular prism using the formula V = area of base × height;
-Solve problems involving volume of triangular prisms;
-Show interest in calculating volume of triangular prisms.

In groups, learners are guided to:
-Collect objects shaped like triangular prisms;
-Identify the base and height of triangular prisms;
-Calculate the area of the triangular base;
-Calculate the volume using the formula V = area of base × height;
-Discuss and share results with other groups.

How do we determine the volume of a triangular prism?

-Mathematics learners book grade 9 page 105;
-Triangular prism models;
-Rulers;
-Scientific calculators;
-Charts showing formulas for volume of triangular prisms.

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

MEASUREMENTS

Volume of Triangular and Rectangular-Based Prisms
Volume of Triangular, Rectangular and Square-Based Pyramids

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

-Identify rectangular prisms/cuboids;
-Calculate the volume of a rectangular prism using the formula V = length × width × height;
-Solve problems involving volume of rectangular prisms;
-Appreciate the use of volume calculations in real-life situations.

In groups, learners are guided to:
-Collect objects shaped like rectangular prisms;
-Measure the length, width, and height of rectangular prisms;
-Calculate the volume using the formula V = length × width × height;
-Solve practical problems involving volume of rectangular prisms;
-Discuss and share results with other groups.

How do we determine the volume of different solids?

-Mathematics learners book grade 9 page 107;
-Rectangular prism models (boxes);
-Rulers;
-Scientific calculators;
-Charts showing formulas for volume of rectangular prisms.
-Mathematics learners book grade 9 page 108;
-Triangular-based pyramid models;
-Charts showing formulas for volume of pyramids.

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

MEASUREMENTS

Volume of Triangular, Rectangular and Square-Based Pyramids
Volume of a Cone in Real Life Situations

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

-Identify rectangular and square-based pyramids;
-Calculate the volume of rectangular and square-based pyramids;
-Solve problems involving volume of rectangular and square-based pyramids;
-Appreciate the application of volume calculations in real-life.

In groups, learners are guided to:
-Identify and discuss models of rectangular and square-based pyramids;
-Identify the base and height of the pyramids;
-Calculate the area of the base (rectangle or square);
-Calculate the volume using the formula V = ⅓ × area of base × height;
-Discuss and share results with other groups.

How does the shape of the base affect the volume of a pyramid?

-Mathematics learners book grade 9 page 109;
-Rectangular and square-based pyramid models;
-Rulers;
-Scientific calculators;
-Charts showing formulas for volume of pyramids.
-Mathematics learners book grade 9 page 110;
-Cone models;
-Charts showing formulas for volume of cones.

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

MEASUREMENTS

Volume of a Sphere in Real Life Situations

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

-Identify spheres and their properties;
-Calculate the volume of a sphere using the formula V = ⅘ × πr³;
-Solve problems involving volume of spheres;
-Develop interest in calculating volumes of spheres.

In groups, learners are guided to:
-Identify and discuss models of spheres;
-Measure the radius of spherical objects;
-Calculate the volume using the formula V = ⅘ × πr³;
-Solve practical problems involving volume of spheres;
-Discuss and share results with other groups.

How do we determine the volume of a sphere?

-Mathematics learners book grade 9 page 112;
-Spherical objects (balls);
-Measuring tape/rulers;
-Scientific calculators;
-Charts showing formulas for volume of spheres.

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

MEASUREMENTS

Volume of a Frustum in Real Life Situations

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

-Define a frustum;
-Identify frustums of cones and pyramids;
-Calculate the volume of a frustum;
-Show genuine interest in calculating volumes of frustums.

In groups, learners are guided to:
-Identify and discuss models of frustums;
-Understand how a frustum is formed by cutting a cone or pyramid;
-Learn the formula for volume of a frustum;
-Calculate the volume of different frustums;
-Discuss and share results with other groups.

What is a frustum and how is it formed?

-Mathematics learners book grade 9 page 113;
-Frustum models;
-Rulers;
-Scientific calculators;
-Charts showing formulas for volume of frustums.
-Mathematics learners book grade 9 page 114;

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

MEASUREMENTS

Mass, Volume, Weight and Density - Instruments and Tools Used in Weighing

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

-Identify different instruments and tools used in weighing;
-Describe the functions of various weighing instruments;
-Use weighing instruments correctly;
-Show interest in using weighing instruments.

In groups, learners are guided to:
-Identify and discuss different types of balances used for weighing;
-Identify commonly used balances in their locality;
-Discuss what different weighing instruments are used for;
-Practice using weighing instruments to measure mass of objects;
-Discuss and share findings with other groups.

How do you weigh materials and objects?

-Mathematics learners book grade 9 page 117;
-Different types of weighing instruments;
-Various objects to weigh;
-Charts showing different weighing instruments.

-Observation; -Oral questions; -Practical assessment; -Group presentations.