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

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.

Oral questions. Written exercise. Observation of practical work.

Numbers

Cubes and Cube Roots - Determining Cubes from Mathematical Tables
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 from mathematical tables;
Apply cube calculations to real life situations;
Show interest in using mathematical tables.

Read the cube of numbers from mathematical tables.
Demonstrate how to use mathematical tables to find cubes.
Compare results from direct calculation and from tables.

How do we work out the cubes of numbers?

Top Scholar KLB Mathematics Learners Book Grade 9, page 11.
Mathematical tables.
Calculators.
Top Scholar KLB Mathematics Learners Book Grade 9, page 12.

Oral questions. Written exercise. Assignment.

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

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.
Top Scholar KLB Mathematics Learners Book Grade 9, page 19.
Computers with mathematical software.

Oral questions. Written exercise. Assignment.

Numbers

Cubes and Cube Roots - Application of Cubes and Cube Roots

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.

Oral questions. Written exercise. Project work.

Numbers

Indices and Logarithms - Expressing Numbers in Index Form
Indices and Logarithms - Laws of Indices: Multiplication

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

Oral questions. Written exercise. Group activity.

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
Compound Proportions and Rates of Work - Introduction to Proportions

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

Oral questions. Written exercise. Digital project.

Numbers

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

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.

Oral questions. Written exercise. Practical activity.

Numbers

Compound Proportions and Rates of Work - Direct Proportion
Compound Proportions and Rates of Work - Inverse Proportion

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

Identify direct proportional relationships;
Solve problems involving direct proportion;
Show interest in applying direct proportion to real-life situations.

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

What are proportions?

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

Oral questions. Written exercise. Group work.

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
Compound Proportions and Rates of Work - Combined 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.
Top Scholar KLB Mathematics Learners Book Grade 9, page 41.
Charts showing combined rates of work.

Oral questions. Written exercise. Group work.

Numbers

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

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.

Oral questions. Written exercise. Group activity.

Numbers

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

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.
Computers with spreadsheet software.

Oral questions. Written exercise. Assignment.

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
Matrices - Addition of Matrices

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

Oral questions. Written exercise. Group work.

Algebra

Matrices - Subtraction of Matrices

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

Carry out subtraction of matrices in real life situations;
Subtract corresponding elements in compatible matrices;
Appreciate the use of matrices in data analysis.

Subtract matrices by subtracting corresponding elements.
Solve real-life problems involving subtraction of matrices.
Discuss what is represented by rows and columns when subtracting matrices.

How do we use matrices in real life situations?

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

Oral questions. Written exercise. Group presentation.

Algebra

Matrices - Application of Matrices
Equations of Straight Lines - Introduction to Gradient

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

Oral questions. Written exercise. Project work.

Algebra

Equations of Straight Lines - Identifying the 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.

Oral questions. Written exercise. Practical activity.

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

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
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.

Data Handling and Probability

Data Presentation and Interpretation - Mode of grouped data
Data Presentation and Interpretation - Calculating the mean

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

-Find the mode of grouped data
-Create frequency tables
-Value the mode as a measure of central tendency

-Organize data sets into frequency tables
-Count occurrences of each value
-Identify the value with highest frequency
-Discuss the significance of mode in data analysis

Why is the mode important in data analysis?

-KLB Grade 8 Mathematics pg. 190
-Data sets
-Calculator
-Digital resources
-KLB Grade 8 Mathematics pg. 192

-Observation -Oral questions -Written tests

Data Handling and Probability

Data Presentation and Interpretation - Mean of grouped data

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

-Calculate the mean of grouped data
-Apply frequency tables in mean calculation
-Value the mean as a measure of central tendency

-Create frequency tables for data sets
-Multiply each value by its frequency
-Find the sum of products
-Divide by the total frequency (number of items)

How do we calculate the mean of large data sets?

-KLB Grade 8 Mathematics pg. 193
-Data sets
-Calculator
-Digital resources

-Observation -Oral questions -Written tests

Data Handling and Probability

Data Presentation and Interpretation - Determining the median
Data Presentation and Interpretation - Applications of measures of central tendency

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

-Determine the median of a set of discrete data
-Apply median in analyzing data sets
-Show interest in measures of central tendency

-Study data sets of ages, scores, etc.
-Arrange data in ascending order
-Identify the middle value for odd number of items
-Calculate average of two middle values for even number of items

What is the median and when is it useful?

-KLB Grade 8 Mathematics pg. 195
-Data sets
-Calculator
-Digital resources
-KLB Grade 8 Mathematics pg. 196
-Real-life data sets

-Observation -Oral questions -Written assignments

Data Handling and Probability

Probability - Identifying events involving chance

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

-Identify events involving chance in real-life situations
-Classify events based on likelihood
-Show interest in probability concepts

-Classify events as likely, unlikely, must happen, or cannot happen
-Discuss examples from daily life
-Compare classifications with other groups
-Recognize events that involve chance

When do we consider chances that an event is likely to happen?

-KLB Grade 8 Mathematics pg. 197
-Event cards
-Digital resources

-Observation -Oral questions -Written assignments

Data Handling and Probability

Probability - Performing chance experiments
Probability - Writing experimental probability outcomes

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

-Perform chance experiments in different situations
-Record outcomes of chance experiments
-Value experimental approaches to probability

-Flip coins and record heads or tails outcomes
-Toss dice and record number outcomes
-Discuss possible outcomes of each experiment
-Conduct multiple trials and record results

What factors affect probability outcomes?

-KLB Grade 8 Mathematics pg. 198
-Coins
-Dice
-Spinner wheels
-KLB Grade 8 Mathematics pg. 199
-Cards
-Tally charts

-Observation -Oral questions -Written tests

Data Handling and Probability

Probability - Expressing probability outcomes in fractions

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

-Express probability outcomes in fractions
-Calculate probability as a ratio of favorable outcomes
-Value fractional representation of probability

-Flip coins multiple times and record outcomes
-Count frequency of each outcome (heads/tails)
-Express results as fractions of total trials
-Compare experimental results with theoretical probability

How do we calculate probability as a fraction?

-KLB Grade 8 Mathematics pg. 200
-Coins
-Cards
-Recording sheets

-Observation -Oral questions -Written tests

Data Handling and Probability

Probability - Expressing probability in decimals
Probability - Expressing probability in percentages

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

-Express probability outcomes in decimals
-Convert between fractions and decimals in probability
-Show interest in decimal representation

-Conduct experiments with cards, spinners, etc.
-Express probability outcomes as fractions
-Convert fractions to decimals
-Compare decimal representations of different events

What does a decimal probability value tell us?

-KLB Grade 8 Mathematics pg. 202
-Cards
-Spinner wheels
-Calculator
-KLB Grade 8 Mathematics pg. 203
-Dice

-Observation -Oral questions -Written assignments

Data Handling and Probability

Probability - Applications in real life

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

-Apply probability concepts in real-life situations
-Solve problems involving probability
-Value the importance of probability in decision-making

-Discuss real-life applications of probability
-Analyze situations involving chance
-Calculate probability in various contexts
-Use probability to make predictions

How is probability used in everyday life?

-KLB Grade 8 Mathematics pg. 204
-Real-life scenarios
-Digital resources
-Calculator

-Observation -Oral questions -Written assignments