Numbers

Cubes and Cube Roots - Cube roots by factor method

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

- Identify perfect cubes
- Determine cube roots using the factor method
- Show interest in finding cube roots

- Write numbers in terms of prime factors using factor trees
- Group prime factors into three identical numbers
- Select one factor from each group to find cube roots
- Work out cube roots of algebraic expressions

How do we find cube roots using prime factors?

- Master Mathematics Grade 9 pg. 12
- Factor trees diagrams

- Oral questions                    - Written tests

Numbers

Cubes and Cube Roots - Cube roots from mathematical tables

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

- Explain the process of reading cube roots from tables
- Determine cube roots from mathematical tables
- Appreciate the use of mathematical tables

- Locate numbers in the body of cube tables
- Move horizontally and vertically to find corresponding cube roots
- Express large numbers in the form A × 10ⁿ where n is a multiple of 3
- Use the ADD column for precision

How do we find cube roots using mathematical tables?

- Master Mathematics Grade 9 pg. 12
- Mathematical tables

 - Oral questions                   - Written assignments

Numbers

Cubes and Cube Roots - Using calculators and real-life applications

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

- Identify calculator functions for cubes and cube roots
- Use calculators to find cubes and cube roots
- Show confidence in using digital tools

- Key in numbers and use x³ function on calculators
- Use shift and ∛ functions to find cube roots
- Solve problems involving cubic boxes, tanks, and containers
- Calculate lengths of cubes from given volumes

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

- Master Mathematics Grade 9 pg. 12
- Calculators

- Observation                        - Oral questions                    - Written tests

Numbers

Indices and Logarithms - Expressing numbers in index form

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

- Define base and index
- Express numbers in index form using prime factors
- Appreciate the use of index notation

- Use factor trees to express numbers as products of prime factors
- Count the number of times each prime factor appears
- Express numbers in the form xⁿ where x is the base and n is the index
- Solve for unknown bases or indices

How do we express numbers in powers?

- Master Mathematics Grade 9 pg. 24
- Drawing materials

- Observation                        - Oral questions                    - Written assignments

Numbers

Indices and Logarithms - Multiplication and division laws of indices
Indices and Logarithms - Power law and zero indices

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

- State the multiplication and division laws of indices
- Apply the laws to simplify expressions
- Show interest in working with indices

- Use number cards to demonstrate multiplication of indices
- Write numbers in expanded form then in index form
- Discover that when multiplying, indices are added
- Use cards to show that when dividing, indices are subtracted

What are the laws of indices?

- Master Mathematics Grade 9 pg. 24
- Mathematical tables
- Calculators

- Observation                        - Oral questions                     - Written tests

Numbers

Indices and Logarithms - Negative and fractional indices

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

- Define negative and fractional indices
- Apply negative and fractional indices to solve problems
- Show confidence in manipulating indices

- Use factor method to understand negative indices
- Discover that negative index means reciprocal
- Relate fractional indices to square roots and cube roots
- Solve equations involving unknown indices

How do we work with negative and fractional indices?

- Master Mathematics Grade 9 pg. 24
- Mathematical tables
- Calculators

- Observation                         - Oral questions                   - Written tests

Numbers

Indices and Logarithms - Applications of laws of indices

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

- Identify equations involving indices
- Solve equations and simultaneous equations with indices
- Appreciate the importance of indices

- Solve for unknowns by equating indices
- Work out simultaneous equations involving indices
- Discuss real-life applications of indices
- Use IT devices to explore more on indices

How do we use indices to solve equations?

- Master Mathematics Grade 9 pg. 24
- Mathematical tables

- Observation                        - Oral questions                    - Written assignments

Numbers

Indices and Logarithms - Powers of 10 and common logarithms

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

- Define common logarithms
- Relate powers of 10 to common logarithms
- Appreciate the relationship between indices and logarithms

- Study the relationship between numbers and their powers of 10
- Understand that the index is the logarithm when base is 10
- Write expressions in logarithm form and vice versa
- Use digital devices to explore logarithms

How do powers of 10 relate to common logarithms?

- Master Mathematics Grade 9 pg. 24
- Mathematical tables

- Observation                        - Oral questions                    - Written tests

Numbers

Compound Proportions and Rates of Work - Dividing quantities into proportional parts

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

- Define proportion and proportional parts
- Divide quantities into proportional parts accurately
- Appreciate fair sharing of resources

- Discuss the concept of proportion and proportional parts
- Calculate total number of proportional parts
- Share quantities in given ratios
- Solve problems involving sharing profits, land, and resources

What are proportions and how do we share quantities fairly?

- Master Mathematics Grade 9 pg. 33

- Observation                         - Oral questions                   - Written assignments

Numbers

Compound Proportions and Rates of Work - Dividing quantities into proportional parts (continued)

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

- Explain proportional sharing of different quantities
- Work out proportional parts in various contexts
- Show fairness in sharing resources

- Work out proportional sharing of animals, books, and land
- Calculate perimeters using ratios
- Determine attendance using given ratios
- Discuss social justice in resource distribution

How do we use proportions to solve real-life problems?

- Master Mathematics Grade 9 pg. 33
- Calculators

- Observation                         - Oral questions                   - Written tests

Numbers

Compound Proportions and Rates of Work - Relating different ratios

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

- Identify when ratios are related
- Relate two or more ratios accurately
- Appreciate the connections between ratios

- Draw number lines to show proportional relationships
- Find distances and relate ratios on number lines
- Identify when numbers are in proportion
- Use cross multiplication to solve proportions

How do we determine if ratios are related?

- Master Mathematics Grade 9 pg. 33
- Number lines

- Observation                        - Oral questions                    - Written assignments

Numbers

Compound Proportions and Rates of Work - Continuous proportion
Compound Proportions and Rates of Work - Working out compound proportions using ratio method

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

- Define continuous proportion
- Determine missing values in continuous proportions
- Show interest in proportional patterns

- Work with four numbers in continuous proportion
- Use the relationship a:b = c:d to solve problems
- Find unknown values in proportional sequences
- Apply continuous proportion to harvest and measurement problems

How do we work with continuous proportions?

- Master Mathematics Grade 9 pg. 33

- Observation                        - Oral questions                    - Written tests

Numbers

Compound Proportions and Rates of Work - Compound proportions (continued)

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

- Identify compound proportion problems
- Solve various compound proportion problems
- Show accuracy in calculations

- Work out dimensions of similar rectangles
- Calculate materials needed in construction maintaining ratios
- Solve problems on imports, school enrollment, and harvests
- Discuss consumer awareness in proportional buying

How do we maintain constant ratios in different situations?

- Master Mathematics Grade 9 pg. 33
- Calculators

- Observation                         - Oral questions                   - Written tests

Numbers

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

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

- Define rate of work
- Relate number of workers to time taken
- Appreciate efficient work planning

- Rearrange classroom desks in groups and time the activity
- Compare time taken by different sized groups
- Understand that more workers take less time
- Set up rate of work problems in table format

Why do more workers complete work faster?

- Master Mathematics Grade 9 pg. 33
- Stopwatch 
- Classroom furniture

- Observation                         - Oral questions                   - Written assignments

Numbers

Compound Proportions and Rates of Work - Calculating rates of work with two variables

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

- Identify increasing and decreasing ratios
- Calculate workers needed for specific time periods
- Show systematic problem-solving skills

- Solve problems involving men and days
- Determine when to use increasing and decreasing ratios
- Calculate additional workers needed
- Practice with work completion scenarios

How do we calculate the number of workers needed to complete work in a given time?

- Master Mathematics Grade 9 pg. 33
- Calculators

- Observation                         - Oral questions                   - Written tests

Numbers

Compound Proportions and Rates of Work - Rates of work with three variables

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

- Explain rate of work with multiple variables
- Apply both increasing and decreasing ratios in one problem
- Show analytical thinking skills

- Set up problems with three variables in table format
- Compare each pair of variables to determine ratio type
- Solve factory, painting, and packing problems
- Multiply ratios to get final answers

How do we solve rate of work problems with multiple variables?

- Master Mathematics Grade 9 pg. 33
- Calculators

- Observation                        - Oral questions                     - Written assignments

Numbers

Compound Proportions and Rates of Work - More rate of work problems

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

- Identify different types of rate problems
- Determine resources needed for various tasks
- Appreciate practical applications of mathematics

- Calculate tractors needed for field cultivation
- Determine teachers required for lesson allocation
- Work out lorries needed for transportation
- Solve water pump flow rate problems

How do we apply rates of work to different real-life situations?

- Master Mathematics Grade 9 pg. 33
- Calculators

- Observation                        - Oral questions                    - Written tests

Numbers

Compound Proportions and Rates of Work - Applications of rates of work

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

- Explain rates of work in various contexts
- Apply rates of work to land clearing and production
- Show confidence in problem-solving

- Calculate hectares cleared by different numbers of men
- Determine days needed to complete specific work
- Work out production and packing rates
- Discuss efficiency and productivity

How do rates of work help in planning and resource allocation?

- Master Mathematics Grade 9 pg. 33
- Calculators

- Observation                        - Oral questions                     - Written assignments

Numbers
Algebra

Compound Proportions and Rates of Work - Using IT and comprehensive applications
Matrices - Identifying a matrix

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

- Identify IT tools for solving rate problems
- Use IT devices to work on rates of work
- Appreciate the use of compound proportions and rates in real life

- Use digital devices to solve rate problems
- Play creative games on rates and proportions
- Review and consolidate all concepts covered
- Discuss careers involving proportions and rates

How do we use technology to solve compound proportion and rate problems?

- Master Mathematics Grade 9 pg. 33
- Master Mathematics Grade 9 pg. 42

- Observation                         - Oral questions                   - Written tests 

Algebra

Matrices - Determining the order of a matrix

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

- Define the order of a matrix
- Determine the order of matrices in different situations
- Appreciate the use of matrix notation

- Study parking lot arrangements to determine rows and columns
- Count rows and columns in given matrices
- Write the order of matrices in the form m × n
- Identify row, column, rectangular and square matrices

What is the order of a matrix?

- Master Mathematics Grade 9 pg. 42
- Mathematical tables

- Observation                         - Oral question                     - Written tests

Algebra

Matrices - Determining the position of items in a matrix

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

- Explain how to identify position of elements in a matrix
- Determine the position of items in terms of rows and columns
- Show accuracy in identifying matrix elements

- Study classroom sitting arrangements in matrix form
- Describe positions using row and column notation
- Identify elements using subscript notation
- Work with calendars and football league tables

How do we locate specific items in a matrix?

- Master Mathematics Grade 9 pg. 42
- Calendar samples
- Football league tables

- Observation                         - Oral questions                   - Written assignments

Algebra

Matrices - Position of items and equal matrices

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

- Identify corresponding elements in equal matrices
- Determine values of unknowns in equal matrices
- Appreciate the concept of matrix equality

- Compare elements in matrices with same positions
- Find values of letters in equal matrices
- Study egg trays and other matrix arrangements
- Work out values by equating corresponding elements

How do we compare elements in different matrices?

- Master Mathematics Grade 9 pg. 42

- Observation                        - Oral questions                    - Written tests

Algebra

Matrices - Determining compatibility for addition and subtraction

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

- Define compatible matrices
- Determine compatibility of matrices for addition and subtraction
- Show understanding of matrix order requirements

- Study classroom stream arrangements with same sitting positions
- Compare orders of different matrices
- Identify matrices that can be added or subtracted
- Determine which matrices have the same order

When can we add or subtract matrices?

- Master Mathematics Grade 9 pg. 42

- Observation                        - Oral questions                    - Written assignments

Algebra

Matrices - Addition of matrices

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

- Explain the process of adding matrices
- Add compatible matrices accurately
- Show systematic approach to matrix addition

- Identify elements in corresponding positions
- Add matrices by adding corresponding elements
- Work out matrix addition problems
- Verify that resultant matrix has same order as original matrices

How do we add matrices?

- Master Mathematics Grade 9 pg. 42
- Calculators

- Observation                        - Oral questions                    - Written tests

Algebra

Matrices - Subtraction of matrices

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

- Explain the process of subtracting matrices
- Subtract compatible matrices accurately
- Appreciate the importance of corresponding positions

- Identify elements in corresponding positions in matrices
- Subtract matrices by subtracting corresponding elements
- Work out matrix subtraction problems
- Verify compatibility before subtracting

How do we subtract matrices?

- Master Mathematics Grade 9 pg. 42

- Observation                        - Oral questions                     - Written assignments

Algebra

Matrices - Combined operations and applications
Equations of a Straight Line - Identifying the gradient in real life

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

- Identify combined operations on matrices
- Perform combined addition and subtraction of matrices
- Appreciate applications of matrices in real life

- Work out expressions like A + B - C and A - (B + C)
- Apply matrices to basketball scores, shop sales, and stock records
- Solve real-life problems using matrix operations
- Visit supermarkets to observe item arrangements

How do we use matrices to solve real-life problems?

- Master Mathematics Grade 9 pg. 42
- Master Mathematics Grade 9 pg. 57

- Observation                         - Oral questions                    - Written tests 

Algebra

Equations of a Straight Line - Gradient as ratio of rise to run

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

- Define rise and run in relation to gradient
- Calculate gradient as ratio of vertical to horizontal distance
- Show understanding of positive and negative gradients

- Identify vertical distance (rise) and horizontal distance (run)
- Work out gradient using the formula gradient = rise/run
- Use adjustable ladders to demonstrate different gradients
- Complete tables showing different ladder positions

How do we calculate the slope or gradient?

- Master Mathematics Grade 9 pg. 57

- Observation                        - Oral questions                    - Written tests

Algebra

Equations of a Straight Line - Determining gradient from two known points

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

- State the formula for gradient from two points
- Determine gradient from two known points on a line
- Appreciate the importance of coordinates

- Plot points on a Cartesian plane
- Count squares to find vertical and horizontal distances
- Use the formula m = (y₂ - y₁)/(x₂ - x₁)
- Work out gradients from given coordinates

How do we find the gradient when given two points?

- Master Mathematics Grade 9 pg. 57
- Graph paper
- Rulers

- Observation                        - Oral questions                     - Written assignments

Algebra

Equations of a Straight Line - Types of gradients

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

- Identify the four types of gradients
- Distinguish between positive, negative, zero and undefined gradients
- Show interest in gradient patterns

- Study lines with positive gradients (rising from left to right)
- Study lines with negative gradients (falling from left to right)
- Identify horizontal lines with zero gradient
- Identify vertical lines with undefined gradient

What are the different types of gradients?

- Master Mathematics Grade 9 pg. 57
- Graph paper

- Observation                        - Oral questions                    - Written tests

Algebra

Equations of a Straight Line - Equation given two points

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

- Explain the steps to find equation from two points
- Determine the equation of a line given two points
- Show systematic approach to problem solving

- Calculate gradient using two given points
- Use a general point (x, y) with one of the given points
- Equate the two gradient expressions
- Simplify to get the equation of the line

How do we find the equation of a line from two points?

- Master Mathematics Grade 9 pg. 57
- Graph paper

- Observation                        - Oral questions                    - Written assignments

Algebra

Equations of a Straight Line - More practice on equations from two points

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

- Identify the steps in finding equations from coordinates
- Work out equations of lines passing through two points
- Appreciate the application to geometric shapes

- Find equations of lines through various point pairs
- Determine equations of sides of triangles and parallelograms
- Practice with different types of coordinate pairs
- Verify equations by substitution

How do we apply equations of lines to geometric shapes?

- Master Mathematics Grade 9 pg. 57
- Graph paper
- Calculators

- Observation                        - Oral questions                    - Written tests

Algebra

Equations of a Straight Line - Equation from a point and gradient

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

- Explain the method for finding equation from point and gradient
- Determine equation given a point and gradient
- Show confidence in using the gradient formula

- Use a given point and a general point (x, y)
- Write expression for gradient using the two points
- Equate the expression to the given gradient value
- Simplify to obtain the equation

How do we find the equation when given a point and gradient?

- Master Mathematics Grade 9 pg. 57
- Graph paper

- Observation                        - Oral questions                    - Written assignments

Algebra

Equations of a Straight Line - Applications of point-gradient method
Equations of a Straight Line - Expressing in the form y = mx + c

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

- Identify problems involving point and gradient
- Apply the point-gradient method to various situations
- Appreciate practical applications of linear equations

- Work out equations of lines with different gradients and points
- Solve problems involving edges of squares and sides of triangles
- Find unknown coordinates using equations
- Determine missing values in linear relationships

How do we use point-gradient method in different situations?

- Master Mathematics Grade 9 pg. 57
- Graph paper
- Calculators

- Observation                         - Oral questions                   - Written tests

Algebra

Equations of a Straight Line - More practice on y = mx + c form

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

- Identify equations that need conversion
- Convert various equations to y = mx + c form
- Appreciate the standard form of linear equations

- Express equations from two points in y = mx + c form
- Express equations from point and gradient in y = mx + c form
- Practice with different types of linear equations
- Verify transformed equations

How do we apply the y = mx + c form to different equations?

- Master Mathematics Grade 9 pg. 57
- Graph paper
- Calculators

- Observation                         - Oral questions                   - Written tests

Algebra

Equations of a Straight Line - Interpreting y = mx + c

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

- Define m and c in the equation y = mx + c
- Interpret the values of m and c from equations
- Show understanding of gradient and y-intercept

- Draw lines on graph paper and work out their gradients
- Determine equations and express in y = mx + c form
- Compare coefficient of x with calculated gradient
- Identify the y-intercept as the constant c

What do m and c represent in the equation y = mx + c?

- Master Mathematics Grade 9 pg. 57
- Graph paper

- Observation                         - Oral questions                    - Written assignments

Algebra

Equations of a Straight Line - Finding gradient and y-intercept from equations

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

- Identify m and c from equations in standard form
- Determine gradient and y-intercept from various equations
- Appreciate the relationship between equation and graph

- Complete tables showing equations, gradients, and y-intercepts
- Extract m and c values from equations
- Convert equations to y = mx + c form first if needed
- Verify values by graphing

How do we read gradient and y-intercept from equations?

- Master Mathematics Grade 9 pg. 57
- Calculators
- Graph paper

- Observation                         - Oral questions                   - Written tests

Algebra

Equations of a Straight Line - Determining x-intercepts

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

- Define x-intercept of a line
- Determine x-intercepts from equations
- Show understanding that y = 0 at x-intercept

- Observe where lines cross the x-axis on graphs
- Note that y-coordinate is 0 at x-intercept
- Substitute y = 0 in equations to find x-intercept
- Work out x-intercepts from various equations

What is the x-intercept and how do we find it?

- Master Mathematics Grade 9 pg. 57
- Graph paper

- Observation                        - Oral questions                     - Written assignments

Algebra

Equations of a Straight Line - Determining y-intercepts

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

- Define y-intercept of a line
- Determine y-intercepts from equations
- Show understanding that x = 0 at y-intercept

- Observe where lines cross the y-axis on graphs
- Note that x-coordinate is 0 at y-intercept
- Substitute x = 0 in equations to find y-intercept
- Work out y-intercepts from various equations

What is the y-intercept and how do we find it?

- Master Mathematics Grade 9 pg. 57
- Graph paper
- Calculators

- Observation                        - Oral questions                    - Written tests

Algebra

Equations of a Straight Line - Finding equations from intercepts

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

- Explain how to find equations from x and y intercepts
- Determine equations given both intercepts
- Appreciate the use of intercepts as two points

- Use x-intercept and y-intercept as two points on the line
- Write coordinates as (x-intercept, 0) and (0, y-intercept)
- Calculate gradient from these two points
- Use point-gradient method to find equation

How do we find the equation from the intercepts?

- Master Mathematics Grade 9 pg. 57
- Graph paper

- Observation                        - Oral questions                    - Written assignments

Algebra

Linear Inequalities - Solving linear inequalities in one unknown
Linear Inequalities - Multiplication and division by negative numbers

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

- Define linear inequality in one unknown
- Solve linear inequalities involving addition and subtraction
- Show understanding of inequality symbols

- Discuss inequality statements and their meanings
- Substitute integers to test inequality truth
- Solve inequalities by isolating the unknown
- Verify solutions by substitution

How do we solve inequalities with one unknown?

- Master Mathematics Grade 9 pg. 72
- Number lines
- Calculators

- Observation                         - Oral questions                   - Written tests

Algebra

Linear Inequalities - Graphical representation in one unknown

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

- Explain how to represent inequalities graphically
- Represent linear inequalities in one unknown on graphs
- Show understanding of continuous and dotted lines

- Change inequality to equation by replacing inequality sign
- Draw boundary line (continuous for ≤ or ≥, dotted for < or >)
- Choose test points to identify wanted and unwanted regions
- Shade the unwanted region

How do we represent inequalities on a graph?

- Master Mathematics Grade 9 pg. 72
- Graph paper
- Rulers

- Observation                        - Oral questions                     - Written tests

Algebra

Linear Inequalities - Linear inequalities in two unknowns

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

- Identify linear inequalities in two unknowns
- Solve linear inequalities with two variables
- Appreciate the relationship between equations and inequalities

- Generate tables of values for linear equations
- Change inequalities to equations
- Plot points and draw boundary lines
- Test points to determine correct regions

How do we work with inequalities that have two unknowns?

- Master Mathematics Grade 9 pg. 72
- Graph paper
- Calculators

- Observation                         - Oral questions                    - Written assignments

Algebra

Linear Inequalities - Graphical representation in two unknowns

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

- Explain the steps for graphing two-variable inequalities
- Represent linear inequalities in two unknowns graphically
- Show accuracy in identifying solution regions

- Draw graphs for inequalities like 3x + 5y ≤ 15
- Use continuous or dotted lines appropriately
- Select test points to verify wanted region
- Shade unwanted regions correctly

How do we represent two-variable inequalities on graphs?

- Master Mathematics Grade 9 pg. 72
- Graph paper

- Observation                         - Oral questions                   - Written tests

Algebra

Linear Inequalities - Applications to real-life situations

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

- Identify real-life situations involving inequalities
- Apply linear inequalities to solve real-life problems
- Appreciate the use of inequalities in planning and budgeting

- Solve problems on wedding planning with budget constraints
- Work on train passenger capacity problems
- Solve worker hiring and payment problems
- Play creative games involving inequalities
- Apply to school trips, tree planting, and other scenarios

How do we use inequalities to solve real-life problems?

- Master Mathematics Grade 9 pg. 72

- Observation                        - Oral questions                    - Written tests 

Measurements

Area - Area of a pentagon

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

- Define a regular pentagon
- Draw a regular pentagon and divide it into triangles
- Calculate the area of a regular pentagon

- Draw a regular pentagon of sides 4 cm using protractor (108° angles)
- Join vertices to the centre to form triangles
- Determine the height of one triangle
- Calculate area of one triangle then multiply by number of triangles
- Use alternative formula: ½ × perimeter × perpendicular height

How do we find the area of a pentagon?

- Master Mathematics Grade 9 pg. 85
- Rulers and protractors
- Compasses
- Graph paper 

- Observation                        - Oral questions                    - Written assignments

Measurements

Area - Area of a hexagon

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

- Define a regular hexagon
- Draw a regular hexagon and identify equilateral triangles
- Calculate the area of a regular hexagon

- Draw a circle of radius 5 cm
- Mark arcs of 5 cm on the circumference to form 6 points
- Join points to form a regular hexagon
- Join vertices to centre to form equilateral triangles
- Calculate area using formula
- Verify using alternative method

How do we find the area of a hexagon?

- Master Mathematics Grade 9 pg. 85
- Compasses and rulers
- Protractors
- Manila paper

- Observation                         - Oral questions                     - Written tests

Measurements

Area - Surface area of triangular prisms
Area - Surface area of rectangular prisms

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

- Identify triangular prisms
- Sketch nets of triangular prisms
- Calculate surface area of triangular prisms

- Identify differences between triangular and rectangular prisms
- Sketch nets of triangular prisms
- Identify all faces from the net
- Calculate area of each face
- Add all areas to get total surface area

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

- Master Mathematics Grade 9 pg. 85
- Models of prisms
- Graph paper
- Rulers
- Reference materials
- Cuboid models
- Manila paper
- Scissors
- Calculators

- Observation - Oral questions - Written assignments

Measurements

Area - Surface area of pyramids

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

- Define different types of pyramids
- Sketch nets of pyramids
- Calculate surface area of triangular-based pyramids

- Make pyramid shapes using sticks or straws
- Count faces of different pyramids
- Sketch nets showing base and triangular faces
- Calculate area of base
- Calculate area of all triangular faces
- Add to get total surface area

How do we find the surface area of a pyramid?

- Master Mathematics Grade 9 pg. 85
- Sticks/straws
- Graph paper
- Protractors
- Reference books

- Observation - Oral questions - Written assignments

Measurements

Area - Surface area of square and rectangular pyramids

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

- Distinguish between square and rectangular based pyramids
- Apply Pythagoras theorem to find heights
- Calculate surface area of square and rectangular pyramids

- Sketch nets of square and rectangular pyramids
- Use Pythagoras theorem to find perpendicular heights
- Calculate area of base
- Calculate area of each triangular face
- Apply formula: Base area + sum of triangular faces

How do we calculate surface area of different pyramids?

- Master Mathematics Grade 9 pg. 85
- Graph paper
- Calculators
- Pyramid models
- Charts

- Observation - Oral questions - Written tests

Measurements

Area - Area of sectors of circles
Area - Area of segments of circles

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

- Define a sector of a circle
- Distinguish between major and minor sectors
- Calculate area of sectors using the formula

- Draw a circle and mark a clock face
- Identify sectors formed by clock hands
- Derive formula: Area = (θ/360) × πr²
- Calculate areas of sectors with different angles
- Use digital devices to watch videos on sectors

How do we find the area of a sector?

- Master Mathematics Grade 9 pg. 85
- Compasses and rulers
- Protractors
- Digital devices
- Internet access
- Compasses
- Rulers
- Calculators
- Graph paper

- Observation - Oral questions - Written assignments