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

In groups, learners are guided to:
- 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 cards
- Number lines
- Charts
- Reference books
- Calculators

- Observation - Oral questions - Written tests

Algebra

Linear Inequalities - Graphical representation in one unknown
Linear Inequalities - Linear inequalities in two unknowns

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

In groups, learners are guided to:
- 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
- Plotting tools
- Charts
- Tables for values
- Calculators

- Observation - Oral questions - Written tests

Algebra

Linear Inequalities - Graphical representation in two unknowns
Linear Inequalities - Applications to real-life situations

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

In groups, learners are guided to:
- 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
- Rulers and plotting tools
- Digital devices
- Reference materials
- Real-world scenarios
- Charts

- Observation - Oral questions - Written tests

Measurements

Area - Area of a pentagon
Area - Area of a hexagon

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

In groups, learners are guided to:
- 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
- Charts showing pentagons
- Compasses and rulers
- Protractors
- Manila paper
- Digital devices

- Observation - Oral questions - Written assignments

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

In groups, learners are guided to:
- 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

In groups, learners are guided to:
- 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
Area - Area of sectors of circles

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

In groups, learners are guided to:
- 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
- Compasses and rulers
- Protractors
- Digital devices
- Internet access

- Observation - Oral questions - Written tests

Measurements

Area - Area of segments of circles
Area - Surface area of cones

By the end of the lesson, the learner should be able to:
- Define a segment of a circle
- Distinguish between major and minor segments
- Calculate area of segments

In groups, learners are guided to:
- Draw a circle and mark two points on circumference
- Join points with a chord to form segments
- Calculate area of sector
- Calculate area of triangle
- Apply formula: Area of segment = Area of sector - Area of triangle
- Calculate area of major segments

How do we calculate the area of a segment?

- Master Mathematics Grade 9 pg. 85
- Compasses
- Rulers
- Calculators
- Graph paper
- Manila paper
- Scissors
- Compasses and rulers
- Reference materials

- Observation - Oral questions - Written tests

Measurements

Area - Surface area of spheres and hemispheres
Volume - Volume of triangular prisms

By the end of the lesson, the learner should be able to:
- Define a sphere and hemisphere
- Derive the formula for surface area of a sphere
- Calculate surface area of spheres and hemispheres

In groups, learners are guided to:
- Get a spherical ball and rectangular paper
- Cover ball with paper to form open cylinder
- Measure diameter and compare to height
- Derive formula: 4πr²
- Calculate surface area of hemispheres: 3πr²
- Solve real-life problems

How do we calculate the surface area of a sphere?

- Master Mathematics Grade 9 pg. 85
- Spherical balls
- Rectangular paper
- Rulers
- Calculators
- Master Mathematics Grade 9 pg. 102
- Straws and paper
- Sand or soil
- Measuring tools
- Reference books

- Observation - Oral questions - Written tests

Measurements

Volume - Volume of rectangular prisms
Volume - Volume of square-based pyramids

By the end of the lesson, the learner should be able to:
- Identify rectangular prisms (cuboids)
- Apply the volume formula for cuboids
- Solve problems involving rectangular prisms

In groups, learners are guided to:
- Identify that cuboids are prisms with rectangular cross-section
- Apply formula: V = l × w × h
- Calculate volumes with different measurements
- Solve real-life problems (water tanks, dump trucks)
- Convert between cubic units

How do we calculate the volume of a cuboid?

- Master Mathematics Grade 9 pg. 102
- Cuboid models
- Calculators
- Charts
- Reference materials
- Modeling materials
- Soil or sand
- Rulers

- Observation - Oral questions - Written tests

Measurements

Volume - Volume of rectangular-based pyramids
Volume - Volume of triangular-based pyramids

By the end of the lesson, the learner should be able to:
- Apply volume formula to rectangular-based pyramids
- Calculate base area of rectangles
- Solve problems involving rectangular pyramids

In groups, learners are guided to:
- Calculate area of rectangular base
- Apply formula: V = ⅓ × (l × w) × h
- Work out volumes with different dimensions
- Solve real-life problems (roofs, monuments)

How do we calculate volume of rectangular pyramids?

- Master Mathematics Grade 9 pg. 102
- Pyramid models
- Graph paper
- Calculators
- Reference books
- Triangular pyramid models
- Rulers
- Charts

- Observation - Oral questions - Written tests

Measurements

Volume - Introduction to volume of cones

By the end of the lesson, the learner should be able to:
- Define a cone as a circular-based pyramid
- Relate cone volume to cylinder volume
- Derive the volume formula for cones

In groups, learners are guided to:
- Model a cylinder and cone with same radius and height
- Fill cone with water and transfer to cylinder
- Observe that cone is ⅓ of cylinder
- Derive formula: V = ⅓πr²h
- Use digital devices to watch videos

How is a cone related to a cylinder?

- Master Mathematics Grade 9 pg. 102
- Cone and cylinder models
- Water
- Digital devices
- Internet access

- Observation - Oral questions - Written tests

Measurements

Volume - Calculating volume of cones
Volume - Volume of frustums of pyramids

By the end of the lesson, the learner should be able to:
- Apply the cone volume formula
- Use Pythagoras theorem to find missing dimensions
- Calculate volumes of cones with different measurements

In groups, learners are guided to:
- Apply formula: V = ⅓πr²h
- Use Pythagoras to find radius when given slant height
- Use Pythagoras to find height when given slant height
- Solve practical problems (birthday caps, funnels)

How do we calculate the volume of a cone?

- Master Mathematics Grade 9 pg. 102
- Cone models
- Calculators
- Graph paper
- Reference materials
- Pyramid models
- Cutting tools
- Rulers

- Observation - Oral questions - Written assignments

Measurements

Volume - Volume of frustums of cones
Volume - Volume of spheres

By the end of the lesson, the learner should be able to:
- Identify frustums of cones
- Apply the frustum concept to cones
- Calculate volume of frustums of cones

In groups, learners are guided to:
- Identify frustums with circular bases
- Calculate volume of original cone
- Calculate volume of small cone cut off
- Subtract to get volume of frustum
- Solve real-life problems (lampshades, buckets)

How do we calculate the volume of a frustum of a cone?

- Master Mathematics Grade 9 pg. 102
- Cone models
- Frustum examples
- Calculators
- Reference books
- Hollow spheres
- Water or soil

- Observation - Oral questions - Written assignments

Measurements

Volume - Volume of hemispheres and applications
Mass, Volume, Weight and Density - Conversion of units of mass

By the end of the lesson, the learner should be able to:
- Define a hemisphere
- Calculate volume of hemispheres
- Solve real-life problems involving volumes

In groups, learners are guided to:
- Apply formula: V = ½ × 4/3πr³ = 2/3πr³
- Calculate volumes of hemispheres
- Solve problems involving spheres and hemispheres
- Apply to real situations (bowls, domes, balls)

How do we calculate the volume of a hemisphere?

- Master Mathematics Grade 9 pg. 102
- Hemisphere models
- Calculators
- Real objects
- Reference materials
- Master Mathematics Grade 9 pg. 111
- Weighing balances
- Various objects
- Conversion charts

- Observation - Oral questions - Written assignments

Measurements

Mass, Volume, Weight and Density - More practice on mass conversions
Mass, Volume, Weight and Density - Relationship between mass and weight

By the end of the lesson, the learner should be able to:
- Convert masses to kilograms
- Apply conversions in real-life contexts
- Appreciate the importance of mass measurements

In groups, learners are guided to:
- Convert various masses to kilograms
- Work with large masses (tonnes)
- Work with small masses (milligrams, micrograms)
- Solve practical problems (construction, medicine, shopping)

Why is it important to convert units of mass?

- Master Mathematics Grade 9 pg. 111
- Conversion tables
- Calculators
- Real-world examples
- Reference books
- Spring balances
- Various objects
- Charts

- Observation - Oral questions - Written assignments

Measurements

Mass, Volume, Weight and Density - Calculating mass and gravity
Mass, Volume, Weight and Density - Introduction to density

By the end of the lesson, the learner should be able to:
- Calculate mass when given weight
- Calculate gravity of different planets
- Apply weight formula in different contexts

In groups, learners are guided to:
- Rearrange formula to find mass: m = W/g
- Rearrange formula to find gravity: g = W/m
- Compare gravity on Earth, Moon, and other planets
- Solve problems involving astronauts on different planets

How do we calculate mass and gravity from weight?

- Master Mathematics Grade 9 pg. 111
- Calculators
- Charts showing planetary data
- Reference materials
- Digital devices
- Weighing balances
- Measuring cylinders
- Water
- Containers

- Observation - Oral questions - Written assignments

Measurements

Mass, Volume, Weight and Density - Calculating density, mass and volume

By the end of the lesson, the learner should be able to:
- Apply density formula to find density
- Calculate mass using density formula
- Calculate volume using density formula

In groups, learners are guided to:
- Apply formula: D = M/V to find density
- Rearrange to find mass: M = D × V
- Rearrange to find volume: V = M/D
- Convert between g/cm³ and kg/m³
- Solve various problems

How do we use the density formula?

- Master Mathematics Grade 9 pg. 111
- Calculators
- Charts with formulas
- Various solid objects
- Reference books

- Observation - Oral questions - Written assignments

Measurements

Mass, Volume, Weight and Density - Applications of density
Time, Distance and Speed - Working out speed in km/h and m/s

By the end of the lesson, the learner should be able to:
- Apply density to identify materials
- Determine if objects will float or sink
- Solve real-life problems using density

In groups, learners are guided to:
- Compare calculated density with known values
- Identify minerals (e.g., diamond) using density
- Determine if objects float (density < 1 g/cm³)
- Apply to quality control (milk, water)
- Solve problems involving balloons, anchors

How is density used in real life?

- Master Mathematics Grade 9 pg. 111
- Density tables
- Calculators
- Real-world scenarios
- Reference materials
- Master Mathematics Grade 9 pg. 117
- Stopwatches
- Tape measures
- Open field
- Conversion charts

- Observation - Oral questions - Written tests

Measurements

Time, Distance and Speed - Calculating distance and time from speed
Time, Distance and Speed - Working out average speed

By the end of the lesson, the learner should be able to:
- Rearrange speed formula to find distance
- Rearrange speed formula to find time
- Solve problems involving speed, distance and time
- Apply to real-life situations

In groups, learners are guided to:
- Apply formula: Distance = Speed × Time
- Apply formula: Time = Distance/Speed
- Solve problems with different units
- Apply to journeys, races, train travel
- Work with Madaraka Express train problems
- Calculate distances covered at given speeds
- Calculate time taken for journeys

How do we calculate distance and time from speed?

- Master Mathematics Grade 9 pg. 117
- Calculators
- Formula charts
- Real-world examples
- Reference materials
- Field with marked points
- Stopwatches
- Reference books

- Observation - Oral questions - Written tests

Measurements

Time, Distance and Speed - Determining velocity
Time, Distance and Speed - Working out acceleration

By the end of the lesson, the learner should be able to:
- Define velocity
- Distinguish between speed and velocity
- Calculate velocity with direction
- Appreciate the importance of direction in velocity

In groups, learners are guided to:
- Define velocity as speed in a given direction
- Identify that velocity includes direction
- Calculate velocity for objects moving in straight lines
- Understand that velocity can be positive or negative
- Understand that same speed in opposite directions means different velocities
- Apply to real situations involving directional movement

What is the difference between speed and velocity?

- Master Mathematics Grade 9 pg. 117
- Diagrams showing direction
- Calculators
- Charts
- Reference materials
- Field for activity
- Stopwatches
- Measuring tools
- Formula charts

- Observation - Oral questions - Written tests

Measurements

Time, Distance and Speed - Deceleration and applications
Time, Distance and Speed - Identifying longitudes on the globe

By the end of the lesson, the learner should be able to:
- Define deceleration (retardation)
- Calculate deceleration
- Distinguish between acceleration and deceleration
- Solve problems involving both acceleration and deceleration
- Appreciate safety implications

In groups, learners are guided to:
- Define deceleration as negative acceleration
- Calculate when final velocity is less than initial velocity
- Apply to vehicles slowing down, braking
- Apply to matatus crossing speed bumps
- Understand safety implications of deceleration
- Calculate final velocity given acceleration and time
- Solve problems on cars, buses, gazelles
- Discuss importance of controlled deceleration for safety

What is deceleration and why is it important for safety?

- Master Mathematics Grade 9 pg. 117
- Calculators
- Road safety materials
- Charts
- Reference materials
- Globes
- Atlases
- World maps

- Observation - Oral questions - Written tests

Measurements

Time, Distance and Speed - Relating longitudes to time
Time, Distance and Speed - Calculating time differences between places

By the end of the lesson, the learner should be able to:
- Explain relationship between longitudes and time
- State that Earth rotates 360° in 24 hours
- Calculate that 1° = 4 minutes
- Understand time zones and GMT

In groups, learners are guided to:
- Understand Earth rotates 360° in 24 hours
- Calculate: 360° = 24 hours = 1440 minutes
- Therefore: 1° = 4 minutes
- Identify time zones on world map
- Understand GMT (Greenwich Mean Time)
- Learn that places East of Greenwich are ahead in time
- Learn that places West of Greenwich are behind in time
- Use digital devices to check time zones

How are longitudes related to time?

- Master Mathematics Grade 9 pg. 117
- Globes
- Time zone maps
- Calculators
- Digital devices
- Atlases
- Time zone charts
- Reference books

- Observation - Oral questions - Written tests

Measurements

Time, Distance and Speed - Determining local time of places along different longitudes

By the end of the lesson, the learner should be able to:
- Calculate local time when given GMT or another place's time
- Add or subtract time differences appropriately
- Account for date changes
- Solve complex time zone problems
- Apply knowledge to real-life situations

In groups, learners are guided to:
- Calculate time difference from longitude difference
- Add time if place is East of reference point (ahead)
- Subtract time if place is West of reference point (behind)
- Account for date changes when crossing midnight
- Solve problems with GMT as reference
- Solve problems with other places as reference
- Apply to phone calls, soccer matches, travel planning
- Work backwards to find longitude from time difference
- Determine whether places are East or West from time relationships

How do we find local time at different longitudes?

- Master Mathematics Grade 9 pg. 117
- World maps
- Calculators
- Time zone references
- Atlases
- Real-world scenarios

- Observation - Oral questions - Written tests - Problem-solving tasks

Measurements

Money - Identifying currencies of different countries
Money - Converting foreign currency to Kenyan shillings

By the end of the lesson, the learner should be able to:
- Identify currencies used in different countries
- State the Kenyan currency and its abbreviation
- Match countries with their currencies
- Appreciate diversity in world currencies

In groups, learners are guided to:
- Use digital devices to search for pictures of currencies
- Identify currencies of Britain, Uganda, Tanzania, USA, Rwanda, South Africa
- Make a collage of currencies from African countries
- Complete tables matching countries with their currencies
- Study Kenya shilling and its subdivision into cents
- Discuss the importance of different currencies

What currencies are used in different countries?

- Master Mathematics Grade 9 pg. 131
- Digital devices
- Internet access
- Pictures of currencies
- Atlases
- Reference materials
- Currency conversion tables
- Calculators
- Charts

- Observation - Oral questions - Written assignments - Project work

Measurements

Money - Converting Kenyan shillings to foreign currency and buying/selling rates
Money - Export duty on goods

By the end of the lesson, the learner should be able to:
- Convert Kenyan shillings to foreign currencies
- Distinguish between buying and selling rates
- Apply correct rates when converting currency
- Solve multi-step currency problems

In groups, learners are guided to:
- Convert Ksh to Ugandan shillings, Sterling pounds, Japanese Yen
- Study Table 3.5.2 showing buying and selling rates
- Understand that banks buy at lower rate, sell at higher rate
- Learn when to use buying rate (foreign to Ksh)
- Learn when to use selling rate (Ksh to foreign)
- Solve tourist problems with multiple conversions
- Visit commercial banks or Forex Bureaus

Why do buying and selling rates differ?

- Master Mathematics Grade 9 pg. 131
- Exchange rate tables
- Calculators
- Real-world scenarios
- Reference books
- Examples of export goods
- Charts
- Reference materials

- Observation - Oral questions - Written assignments

Measurements

Money - Import duty on goods
Money - Excise duty and Value Added Tax (VAT)

By the end of the lesson, the learner should be able to:
- Define import and import duty
- Calculate customs value of imported goods
- Calculate import duty on goods
- Apply knowledge to real-life situations

In groups, learners are guided to:
- Discuss goods imported into Kenya
- Learn about Kenya Revenue Authority (KRA)
- Calculate customs value: Cost + Insurance + Freight
- Apply formula: Import duty = Tax rate × Customs value
- Solve problems on vehicles, electronics, tractors, phones
- Discuss ways to reduce imports
- Understand importance of local production

What is import duty and how is it calculated?

- Master Mathematics Grade 9 pg. 131
- Calculators
- Import duty examples
- Charts
- Reference books
- Digital devices
- ETR receipts
- Tax rate tables
- Reference materials

- Observation - Oral questions - Written assignments

Measurements

Money - Combined duties and taxes on imported goods
Approximations and Errors - Approximating quantities in measurements

By the end of the lesson, the learner should be able to:
- Calculate multiple taxes on imported goods
- Apply import duty, excise duty, and VAT sequentially
- Solve complex problems involving all taxes
- Appreciate the cumulative effect of taxes

In groups, learners are guided to:
- Calculate import duty first
- Calculate excise value: Customs value + Import duty
- Calculate excise duty on excise value
- Calculate VAT value: Customs value + Import duty + Excise duty
- Calculate VAT on VAT value
- Apply to vehicles, electronics, cement, phones
- Solve comprehensive taxation problems
- Work backwards to find customs value

How do we calculate total taxes on imported goods?

- Master Mathematics Grade 9 pg. 131
- Calculators
- Comprehensive examples
- Charts showing tax flow
- Reference materials
- Master Mathematics Grade 9 pg. 146
- Tape measures
- Various objects to measure
- Containers for capacity

- Observation - Oral questions - Written assignments

Measurements

Approximations and Errors - Determining errors using estimations and actual measurements
Approximations and Errors - Calculating percentage error

By the end of the lesson, the learner should be able to:
- Define error in measurement
- Calculate error using approximated and actual values
- Distinguish between positive and negative errors
- Appreciate the importance of accuracy

In groups, learners are guided to:
- Fill 500 ml bottle and measure actual volume
- Calculate difference between labeled and actual values
- Apply formula: Error = Approximated value - Actual value
- Work with errors in mass, length, volume, time
- Complete tables showing actual, estimated values and errors
- Apply to bread packages, water bottles, cement bags
- Discuss integrity in measurements

What is error and how do we calculate it?

- Master Mathematics Grade 9 pg. 146
- Measuring cylinders
- Water bottles
- Weighing scales
- Calculators
- Reference materials
- Tape measures
- Open ground for activities
- Reference books

- Observation - Oral questions - Written assignments

Measurements

Approximations and Errors - Percentage error in real-life situations

By the end of the lesson, the learner should be able to:
- Apply percentage error to real-life situations
- Calculate errors in various contexts
- Analyze significance of errors
- Show integrity when making approximations

In groups, learners are guided to:
- Calculate percentage errors in electoral voting estimates
- Work on football match attendance approximations
- Solve problems on road length estimates
- Apply to temperature recordings
- Calculate errors in land plot sizes
- Work on age recording errors
- Discuss consequences of errors in planning

Why are accurate approximations important in real life?

- Master Mathematics Grade 9 pg. 146
- Calculators
- Real-world scenarios
- Case studies
- Reference materials

- Observation - Oral questions - Written assignments

Measurements
4.0 Geometry

Approximations and Errors - Complex applications and problem-solving
4.3 Similarity and Enlargement - Similar figures

By the end of the lesson, the learner should be able to:
- Solve complex problems involving percentage errors
- Apply error calculations to budgeting and planning
- Evaluate the impact of errors
- Emphasize honesty and integrity in approximations

In groups, learners are guided to:
- Calculate percentage errors in fuel consumption estimates
- Work on budget estimation errors (school fuel budgets)
- Solve problems on athlete timing and weight
- Apply to construction cost estimates
- Analyze large errors and their consequences
- Discuss ways to minimize errors
- Emphasize ethical considerations in approximations
- Solve comprehensive review problems

How can we minimize errors and ensure accuracy?

- Master Mathematics Grade 9 pg. 146
- Calculators
- Complex scenarios
- Charts
- Reference books
- Real-world case studies
- Master Mathematics Grade 9 pg. 185
- Various objects
- Cut-outs of shapes
- Models

- Observation - Oral questions - Written tests - Project work

4.0 Geometry

4.3 Similarity and Enlargement - Properties of similar figures (1)
4.3 Similarity and Enlargement - Properties of similar figures (2)

By the end of the lesson, the learner should be able to:
- State the properties of similar figures
- Measure corresponding sides and determine ratios accurately
- Appreciate that ratios of corresponding sides are constant

The learner is guided to:
- Trace similar triangles
- Measure lengths of corresponding sides
- Determine ratios of corresponding sides
- Observe that the ratios are equal

What is the relationship between sides of similar figures?

- Master Mathematics Grade 9 pg. 186
- Rulers
- Tracing papers
- Calculators
- Pencils
- Protractors
- Practice worksheets

- Class activities - Written assignments

4.0 Geometry

4.3 Similarity and Enlargement - Drawing similar figures
4.3 Similarity and Enlargement - Determining properties of enlargement

By the end of the lesson, the learner should be able to:
- Describe the steps for constructing similar figures
- Construct and draw similar figures accurately using scale factors
- Show interest in verifying similarity by measuring angles

The learner is guided to:
- Construct triangles with given dimensions
- Construct similar triangles with sides in given ratios
- Measure angles to verify similarity
- Discuss their findings with classmates

How do we construct similar figures accurately?

- Master Mathematics Grade 9 pg. 189
- Rulers
- Compasses
- Protractors
- Plain papers
- Master Mathematics Grade 9 pg. 190
- Tracing papers
- Models

- Observation - Practical activities

4.0 Geometry

4.3 Similarity and Enlargement - Positive scale factor (1)
4.3 Similarity and Enlargement - Positive scale factor (2)

By the end of the lesson, the learner should be able to:
- Explain what happens when scale factor is greater than 1
- Draw enlargements with scale factors greater than 1 accurately
- Develop interest in observing that images are larger when scale factor > 1

The learner is guided to:
- Draw lines from centre to object vertices
- Multiply distances by scale factor
- Locate image points along extended lines
- Observe that object and image are on same side of centre

What happens when the scale factor is greater than 1?

- Master Mathematics Grade 9 pg. 192
- Rulers
- Compasses
- Graph papers
- Pencils
- Plain papers
- Models

- Observation - Written tests

4.0 Geometry

4.3 Similarity and Enlargement - Negative scale factor (1)
4.3 Similarity and Enlargement - Negative scale factor (2)

By the end of the lesson, the learner should be able to:
- State the properties of enlargement with negative scale factors
- Draw enlargements with negative scale factors and position images correctly
- Show interest in recognizing that images are inverted with negative scale factors

The learner is guided to:
- Observe objects and images with negative scale factors
- Note that they are on opposite sides of centre
- Draw enlargements with negative scale factors
- Observe that images are inverted

What is special about negative scale factors?

- Master Mathematics Grade 9 pg. 196
- Rulers
- Compasses
- Graph papers
- Tracing papers
- Plain papers
- Calculators

- Observation - Oral questions

4.0 Geometry

4.3 Similarity and Enlargement - Enlargement on the Cartesian plane (1)

By the end of the lesson, the learner should be able to:
- State the rule (x,y) → (kx, ky) for enlargement with centre at origin
- Plot and enlarge figures accurately with centre at origin
- Develop interest in applying enlargement rules on coordinate axes

The learner is guided to:
- Plot given points on Cartesian plane
- Apply scale factor to coordinates
- Plot image points and join them
- Verify using measurement from origin

How do we enlarge figures on coordinate axes?

- Master Mathematics Grade 9 pg. 198
- Graph papers
- Rulers
- Calculators
- Pencils

- Observation - Written assignments

4.0 Geometry

4.3 Similarity and Enlargement - Enlargement on the Cartesian plane (2)
4.3 Similarity and Enlargement - Linear scale factor of similar figures (1)

By the end of the lesson, the learner should be able to:
- Describe the process of enlarging figures with centre not at origin
- Determine coordinates of images after enlargement and solve related problems
- Appreciate applying both positive and negative scale factors on Cartesian plane

The learner is guided to:
- Plot figures with given vertices
- Enlarge with centres at various points
- Determine image coordinates
- Apply both positive and negative scale factors

What happens when the centre is not at the origin?

- Master Mathematics Grade 9 pg. 198
- Graph papers
- Rulers
- Calculators
- Digital devices
- Master Mathematics Grade 9 pg. 200
- Similar objects
- Models

- Written tests - Class activities

4.0 Geometry

4.3 Similarity and Enlargement - Linear scale factor of similar figures (2)
4.4 Trigonometry - Angles and sides of right-angled triangles

By the end of the lesson, the learner should be able to:
- Explain applications of linear scale factor in real-life situations
- Solve problems involving scale models and drawings
- Appreciate use of similarity in architecture and mapping

The learner is guided to:
- Work with scale drawings and models
- Determine actual dimensions from scale drawings
- Calculate linear scale factors from given information
- Discuss applications in architecture and mapping

How is linear scale factor used in real life?

- Master Mathematics Grade 9 pg. 200
- Maps
- Scale models
- Calculators
- Real objects
- Master Mathematics Grade 9 pg. 205
- Rulers
- Set squares
- Models of triangles
- Charts

- Written assignments - Written tests

4.0 Geometry

4.4 Trigonometry - Tangent ratio and tables of tangents
4.4 Trigonometry - Sine and cosine ratios, tables of sines and cosines

By the end of the lesson, the learner should be able to:
- Define tangent of an angle as opposite/adjacent
- Calculate tangent ratios from right-angled triangles and read from tables
- Appreciate that tangent ratio is constant for a given angle

The learner is guided to:
- Work out ratios of opposite to adjacent sides
- Recognize that the ratio is constant for a given angle
- Define tangent as opposite/adjacent
- Read tangent values from tables

What is the tangent of an angle?

- Master Mathematics Grade 9 pg. 207
- Mathematical tables
- Rulers
- Calculators
- Right-angled triangles
- Master Mathematics Grade 9 pg. 211
- Models

- Class activities - Written tests

4.0 Geometry
5.0 Data Handling and Probability
5.0 Data Handling and Probability

4.4 Trigonometry - Using calculators and applications of trigonometric ratios
5.1 Data Interpretation (Grouped Data) - Determining appropriate class width for grouping data
5.1 Data Interpretation (Grouped Data) - Drawing frequency distribution tables of grouped data

By the end of the lesson, the learner should be able to:
- Explain how to use calculators to find trigonometric ratios
- Apply trigonometric ratios to calculate unknown sides and angles
- Appreciate using trigonometry to solve real-life problems

The learner is guided to:
- Use calculator buttons for sin, cos, tan
- Find inverse trigonometric ratios
- Calculate unknown lengths in right-angled triangles
- Solve problems involving heights, distances and angles

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

- Master Mathematics Grade 9 pg. 217
- Scientific calculators
- Rulers
- Protractors
- Real-life problem scenarios
- Master Mathematics Grade 9 pg. 224
- Writing materials
- Calculators
- Chart papers
- Digital devices
- Master Mathematics Grade 9 pg. 226
- Tally sheets
- Data sets
- Pencils

- Written tests - Practical activities

5.0 Data Handling and Probability

5.1 Data Interpretation (Grouped Data) - Identifying the modal class of grouped data
5.1 Data Interpretation (Grouped Data) - Calculating the mean of grouped data (1)
5.1 Data Interpretation (Grouped Data) - Calculating the mean of grouped data (2)
5.1 Data Interpretation (Grouped Data) - Determining the median of grouped data (1)

By the end of the lesson, the learner should be able to:
- Define mode, modal frequency and modal class
- Identify the modal class from frequency distribution tables
- Appreciate identifying the class with highest frequency

The learner is guided to:
- Prepare frequency distribution tables for given data
- Identify the highest frequency from the table
- Find the class where the highest frequency lies
- Search for the meaning of mode using digital devices

What is the modal class in grouped data?

- Master Mathematics Grade 9 pg. 228
- Frequency distribution tables
- Digital devices
- Reference materials
- Master Mathematics Grade 9 pg. 230
- Calculators
- Frequency tables
- Writing materials
- Mathematical tables
- Data sets
- Charts
- Master Mathematics Grade 9 pg. 232

- Oral questions - Written assignments - Class activities

5.0 Data Handling and Probability

5.1 Data Interpretation (Grouped Data) - Determining the median of grouped data (2)
5.1 Data Interpretation (Grouped Data) - Determining the median of grouped data (3)
5.2 Probability - Experiments involving equally and likely outcomes

By the end of the lesson, the learner should be able to:
- Explain the formula for calculating median of grouped data
- Identify L, N, cf₁, fm and C from given data
- Appreciate the components of the median formula

The learner is guided to:
- Discuss the median formula and its components
- Identify the lower class boundary (L) of median class
- Determine cumulative frequency of class above median class
- Identify frequency of median class and class width

How do we use the median formula?

- Master Mathematics Grade 9 pg. 234
- Calculators
- Formula charts
- Frequency tables
- Master Mathematics Grade 9 pg. 236
- Data sets
- Writing materials
- Practice worksheets
- Master Mathematics Grade 9 pg. 239
- Coins
- Dice
- Triangular pyramids
- Baskets and pens

- Class activities - Oral questions - Written assignments

5.0 Data Handling and Probability

5.2 Probability - Range of probability of an event
5.2 Probability - Identifying mutually exclusive events

By the end of the lesson, the learner should be able to:
- State that the sum of all probabilities equals 1
- Determine the range of probability as 0 ≤ P(A) ≤ 1
- Show interest in understanding that P(A) + P(A') = 1

The learner is guided to:
- Toss a coin and work out probability of head and tail
- Add probabilities of all outcomes
- Use dice to determine probabilities of all faces
- Discuss that probability ranges from 0 to 1

What is the range of probability?

- Master Mathematics Grade 9 pg. 241
- Coins
- Dice
- Calculators
- Charts showing probability range
- Master Mathematics Grade 9 pg. 243
- Pictures of referees
- Real-life scenarios
- Charts

- Class activities - Written tests - Oral questions

5.0 Data Handling and Probability

5.2 Probability - Experiments of single chance involving mutually exclusive events
5.2 Probability - Experiments involving independent events

By the end of the lesson, the learner should be able to:
- Explain the addition law of probability P(A or B) = P(A) + P(B)
- Calculate probabilities of mutually exclusive events
- Show interest in applying the addition law to solve problems

The learner is guided to:
- Pick pens from a closed bag and note colors
- Work out probabilities using the word "OR"
- Apply the formula P(A or B) = P(A) + P(B)
- Solve problems involving mutually exclusive events

How do we calculate probabilities of mutually exclusive events?

- Master Mathematics Grade 9 pg. 244
- Colored pens
- Bags
- Dice
- Number cards
- Calculators
- Master Mathematics Grade 9 pg. 246
- Coins
- Colored balls
- Baskets

- Class activities - Written tests - Practical exercises

5.0 Data Handling and Probability

5.2 Probability - Drawing tree diagrams for single outcomes

By the end of the lesson, the learner should be able to:
- Explain what a tree diagram represents
- Draw tree diagrams showing probability outcomes on branches
- Show interest in verifying that sum of probabilities on branches equals 1

The learner is guided to:
- Identify possible outcomes from tossing a coin
- Draw branches and fill in outcomes
- Determine probabilities and place on branches
- Verify that sum of probabilities equals 1
- Draw tree diagrams for various probability situations

How do we represent probability using tree diagrams?

- Master Mathematics Grade 9 pg. 248
- Drawing materials
- Coins
- Calculators
- Chart papers
- Rulers

- Class activities - Written tests - Practical activities