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

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

Oral questions. Written exercise. Project work.

Numbers

Cubes and Cube Roots - Determining Cubes from Mathematical Tables

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.

Oral questions. Written exercise. Assignment.

Numbers

Cubes and Cube Roots - Cubes of Numbers Greater Than 10
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 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.
Top Scholar KLB Mathematics Learners Book Grade 9, page 13.

Oral questions. Written exercise. Group activity.

Numbers

Cubes and Cube Roots - Determining Cube Roots by Factor Method

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.

Oral questions. Written exercise. Group work.

Numbers

Cubes and Cube Roots - Determining Cube Roots from Mathematical Tables
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 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.
Top Scholar KLB Mathematics Learners Book Grade 9, page 17.

Oral questions. Written exercise. Assignment.

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

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

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.

Oral questions. Written exercise. Group presentation.

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

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.
Counters (bottle tops, small stones).
Charts showing proportional division.

Oral questions. Written exercise. Observation.

Numbers

Compound Proportions and Rates of Work - Direct 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.

Oral questions. Written exercise. Group work.

Numbers

Compound Proportions and Rates of Work - Inverse Proportion
Compound Proportions and Rates of Work - Relating Different Ratios

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

Oral questions. Written exercise. Assignment.

Numbers

Compound Proportions and Rates of Work - Working Out 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.

Oral questions. Written exercise. Assignment.

Numbers

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

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.
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. Group presentation.

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
Matrices - Determining the Order of 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.
Top Scholar KLB Mathematics Learners Book Grade 9, page 45.
Paper cards for creating matrices.
Worksheets with various matrices.

Oral questions. Written exercise. Observation.

Algebra

Matrices - Determining the Position of Items in a Matrix

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.

Oral questions. Written exercise. Group 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

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
Equations of Straight Lines - Interpreting 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.
Top Scholar KLB Mathematics Learners Book Grade 9, page 67.
Charts showing lines with different gradients.

Oral questions. Written exercise. Group presentation.

Algebra

Equations of Straight Lines - Graphing Lines from Equations

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.

Oral questions. Written exercise. Practical 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
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.

Data Handling and Probability

Data Interpretation - Appropriate class width

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

Determine appropriate class width for grouping data;
Work with data to establish suitable class widths;
Appreciate the importance of appropriate class widths in data representation.

Learners work in groups to consider masses of 40 people in kilograms.
Learners find the difference between the smallest and highest mass (range).
Learners group the masses in smaller groups with different class widths and identify the number of groups formed in each case.

How do we determine an appropriate class width for a given set of data?

-KLB Mathematics Grade 9 Textbook page 244
-Calculator
-Graph paper
-Manila paper
-Rulers
-Colored markers

-Oral questions -Group presentations -Written exercise -Observation

Data Handling and Probability

Data Interpretation - Finding range and creating groups
Data Interpretation - Frequency distribution tables

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

Calculate the range of a set of data;
Divide data into suitable class intervals;
Show interest in grouping data for better representation.

Learners are presented with marks scored by 40 students in a mathematics test.
Learners find the range of the data.
Learners complete a table using a class width of 10 and determine the number of classes formed.

How does the range of data help us determine appropriate class intervals?

-KLB Mathematics Grade 9 Textbook page 245
-Calculator
-Manila paper
-Data sets
-Chart with examples
-Colored markers
-KLB Mathematics Grade 9 Textbook page 247
-Chart paper
-Ruler

-Oral questions -Written exercise -Observation -Group work assessment

Data Handling and Probability

Data Interpretation - Creating frequency tables with different class intervals

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

Construct frequency tables starting with different class intervals;
Use tally marks to represent data in frequency tables;
Appreciate the use of different class intervals in data representation.

Learners construct a frequency table for given data starting from the class interval 60-64.
Learners use tally marks to count frequency of data in each class.
Learners compare and discuss different frequency tables.

How do we choose appropriate starting points for class intervals?

-KLB Mathematics Grade 9 Textbook page 247
-Calculator
-Ruler
-Graph paper
-Manila paper
-Worksheets with data

-Oral questions -Written exercise -Group presentations -Observation

Data Handling and Probability

Data Interpretation - Modal class
Data Interpretation - Mean of ungrouped data

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

Identify the modal class of grouped data;
Determine the class with the highest frequency;
Develop interest in finding the modal class in real-life data.

Learners are presented with assessment marks in a mathematics test for 32 learners.
Learners draw a frequency distribution table to represent the information.
Learners identify and write down the class with the highest frequency (modal class).

What is the modal class and how is it determined?

-KLB Mathematics Grade 9 Textbook page 248
-Calculator
-Ruler
-Graph paper
-Chart showing frequency distribution tables
-Colored markers
-KLB Mathematics Grade 9 Textbook page 249
-Chart showing frequency tables
-Worksheets
-Manila paper

-Oral questions -Group work -Written exercise -Peer assessment

Data Handling and Probability

Data Interpretation - Mean of grouped data

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

Calculate the mean of grouped data;
Find the midpoint of class intervals and use in calculations;
Value the importance of mean in summarizing data.

Learners consider a frequency distribution table representing masses in kilograms of learners in a class.
Learners complete a table by finding midpoints of class intervals and calculating fx.
Learners find the sum of frequencies, sum of fx, and divide to find the mean.

How do we calculate the mean of grouped data?

-KLB Mathematics Grade 9 Textbook page 250
-Calculator
-Graph paper
-Manila paper
-Chart with examples
-Worksheets

-Oral questions -Written exercise -Group presentations -Checklist

Data Handling and Probability

Data Interpretation - Mean calculation in real-life situations

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

Calculate the mean of grouped data from real-life situations;
Apply the formula for finding mean of grouped data;
Appreciate the use of mean in summarizing data in real life.

Learners are presented with data about plants that survived in 50 sampled schools during an environmental week.
Learners find midpoints of class intervals, multiply by frequencies, and sum them up.
Learners calculate the mean number of plants that survived by dividing the sum of fx by the sum of f.

How is the mean used to summarize real-life data?

-KLB Mathematics Grade 9 Textbook page 251
-Calculator
-Manila paper
-Chart with examples
-Worksheets
-Colored markers

-Oral questions -Group work -Written exercise -Assessment rubrics

Data Handling and Probability

Data Interpretation - Median of grouped data
Data Interpretation - Calculating median using formula

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

Determine the median of grouped data;
Find cumulative frequencies to locate the median class;
Value the importance of median in data interpretation.

Learners consider the mass of 50 learners recorded in a table.
Learners complete the column for cumulative frequency.
Learners find the sum of frequency, divide by 2, and identify the position of the median mass.

How do we determine the median of grouped data?

-KLB Mathematics Grade 9 Textbook page 252
-Calculator
-Chart showing cumulative frequency tables
-Worksheets
-Manila paper
-Colored markers
-KLB Mathematics Grade 9 Textbook page 253
-Graph paper
-Chart showing median formula

-Oral questions -Written exercise -Group presentations -Observation

Data Handling and Probability

Data Interpretation - Median calculations in real-life situations

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

Calculate median in real-life data situations;
Apply the median formula to various data sets;
Appreciate the role of median in data interpretation.

Learners are presented with data on number of nights spent by people in a table.
Learners complete the cumulative frequency column and determine the median class.
Learners apply the median formula to calculate the median value.

How is the median used to interpret real-life data?

-KLB Mathematics Grade 9 Textbook page 254
-Calculator
-Chart with example calculations
-Worksheets with real-life data
-Manila paper
-Colored markers

-Oral questions -Written exercise -Group presentations -Peer assessment

Data Handling and Probability

Probability - Equally likely outcomes
Probability - Range of probability

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

Perform experiments involving equally likely outcomes;
Record outcomes of chance experiments;
Appreciate that some events have equal chances of occurring.

Learners work in groups to flip a fair coin 20 times.
Learners record the number of times heads and tails come up.
Learners divide the number of times heads or tails comes up by the total number of tosses to find probabilities.

What makes events equally likely to occur?

-KLB Mathematics Grade 9 Textbook page 256
-Coins
-Chart paper
-Table for recording outcomes
-Manila paper
-Colored markers
-KLB Mathematics Grade 9 Textbook page 257
-Dice
-Chart showing probability scale (0-1)

-Oral questions -Practical activity -Group work assessment -Observation

Data Handling and Probability

Probability - Complementary events

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

Calculate probability of complementary events;
Understand that sum of probabilities of complementary events is 1;
Show interest in applying complementary probability in real-life situations.

Learners discuss examples of complementary events.
Learners solve problems where the probability of one event is given and they need to find the probability of its complement.
Learners verify that the sum of probabilities of an event and its complement equals 1.

How are complementary events related in terms of their probabilities?

-KLB Mathematics Grade 9 Textbook page 258
-Calculator
-Chart showing complementary events
-Worksheets with problems
-Manila paper
-Colored markers

-Oral questions -Written exercise -Group work assessment -Observation

Data Handling and Probability

Probability - Mutually exclusive events
Probability - Experiments with mutually exclusive events

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

Identify mutually exclusive events in real-life situations;
Recognize events that cannot occur simultaneously;
Appreciate the concept of mutually exclusive events.

Learners flip a fair coin several times and record the face that shows up.
Learners discuss that heads and tails cannot show up at the same time (mutually exclusive).
Learners identify mutually exclusive events from various examples.

What makes events mutually exclusive?

-KLB Mathematics Grade 9 Textbook page 258
-Coins
-Chart with examples of mutually exclusive events
-Flashcards with different scenarios
-Manila paper
-Colored markers
-KLB Mathematics Grade 9 Textbook page 259
-Dice
-Colored objects in boxes
-Calculator
-Chart showing probability calculations
-Worksheets with problems

-Oral questions -Group discussions -Written exercise -Observation

Data Handling and Probability

Probability - Independent events

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

Perform experiments involving independent events;
Understand that outcome of one event doesn't affect another;
Show interest in applying independent events probability in real-life.

Learners toss a fair coin and a fair die at the same time and record outcomes.
Learners repeat the experiment several times.
Learners discuss that the outcome of the coin toss doesn't affect the outcome of the die roll (independence).

What makes events independent from each other?

-KLB Mathematics Grade 9 Textbook page 260
-Coins and dice
-Table for recording outcomes
-Chart showing examples of independent events
-Manila paper
-Colored markers

-Oral questions -Practical activity -Group discussions -Observation

Data Handling and Probability

Probability - Calculating probabilities of independent events

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

Calculate probabilities of independent events;
Apply the multiplication rule for independent events;
Appreciate the application of independent events in real-life situations.

Learners solve problems involving independent events.
Learners calculate probabilities of individual events and multiply them to find joint probability.
Learners solve problems involving machines breaking down independently and other real-life examples.

How do we calculate the probability of independent events occurring together?

-KLB Mathematics Grade 9 Textbook page 261
-Calculator
-Chart showing multiplication rule
-Worksheets with problems
-Manila paper
-Colored markers

-Oral questions -Written exercise -Group presentations -Assessment rubrics

Data Handling and Probability

Probability - Tree diagrams for single outcomes
Probability - Complex tree diagrams

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

Draw a probability tree diagram for a single outcome;
Represent probability situations using tree diagrams;
Value the use of tree diagrams in organizing probability information.

Learners write down possible outcomes when a fair coin is flipped once.
Learners find the total number of all outcomes and probability of each outcome.
Learners complete a tree diagram with possible outcomes and their probabilities.

How do tree diagrams help us understand probability situations?

-KLB Mathematics Grade 9 Textbook page 262
-Chart paper
-Ruler
-Worksheets with blank tree diagrams
-Chart showing completed tree diagrams
-Colored markers
-KLB Mathematics Grade 9 Textbook page 263
-Calculator
-Chart showing complex tree diagrams
-Worksheets with problems

-Oral questions -Practical activity -Group work assessment -Checklist

Data Handling and Probability

Probability - Complex tree diagrams

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