Measurements

Area - Surface area of cylinders
Area - Closed and open cylinders

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

- Explain that a cylinder opens to form two circles and a rectangle
- Calculate curved surface area using formula: CSA = 2πrh
- Show systematic approach in cylinder calculations

In groups, learners are guided to:
- Select paper or plastic cylinders
- Cut out top and bottom circles
- Slit open hollow cylindrical part
- Measure opened figure and relate to circumference

How do we find surface area of cylinders?

- Master Mathematics Grade 8, pg. 97
- Cylindrical objects
- Scissors
- Rulers
- Paper cylinders
- Master Mathematics Grade 8, pg. 99
- Cylinder models
- Calculators
- Real-life scenario cards

- Practical exercises - Written tests - Problem-solving

Measurements

Area - Surface area of triangular prisms
Area - Applications of triangular prisms

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

- Identify the faces that make up a triangular prism
- Calculate surface area as sum of individual faces
- Value accuracy in prism calculations

In groups, learners are guided to:
- Study triangular prism objects
- Count number of faces
- Identify triangular and rectangular faces
- Calculate area of each face and find total

How do we calculate surface area of triangular prisms?

- Master Mathematics Grade 8, pg. 100
- Prism models
- Rulers
- Measuring instruments
- Worksheets
- Master Mathematics Grade 8, pg. 102
- Real-life problem cards
- Calculators

- Written tests - Practical work - Oral questions

Measurements

Area - Area of irregular shapes using square grids
Area - Estimating areas of maps and other irregular shapes

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

- Explain the method for estimating area of irregular shapes
- Estimate areas by counting full and partial squares
- Show patience in counting and estimating

In groups, learners are guided to:
- Select graph paper and trace leaf outlines
- Count number of full squares enclosed
- Count partial squares and divide by 2
- Add full squares to half of partial squares

How do we estimate areas of irregular shapes?

- Master Mathematics Grade 8, pg. 103
- Graph paper
- Square grids
- Leaves
- Pencils
- Master Mathematics Grade 8, pg. 105
- Maps
- Tracing paper
- Calculators

- Practical activities - Written exercises - Observation

Measurements

Money - Interest and principal
Money - Calculating simple interest

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

- Define interest as extra money paid on borrowed amount
- Define principal as money borrowed
- Appreciate understanding of financial terms

In groups, learners are guided to:
- Discuss amount of money that can be borrowed from mobile money providers
- Calculate difference between amount borrowed and paid back
- Identify institutions that offer loans
- Complete tables relating principal, interest and total amount

What is interest in money?

- Master Mathematics Grade 8, pg. 107
- Sample loan documents
- Calculators
- Financial scenario cards
- Master Mathematics Grade 8, pg. 109
- Formula charts
- Loan scenario cards

- Written exercises - Oral questions - Class activities

Measurements

Money - Applications of simple interest
Money - Compound interest calculation step by step

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

- Discuss various situations where simple interest applies
- Calculate amount paid back including interest
- Apply simple interest to solve real-life problems

In groups, learners are guided to:
- Calculate interest for businessmen borrowing from financial institutions
- Work out amount in bank accounts after interest
- Find rate of simple interest from given information
- Calculate interest earned on deposits

Where do we use simple interest in real life?

- Master Mathematics Grade 8, pg. 110
- Calculators
- Real-life problem cards
- Bank documents (samples)
- Master Mathematics Grade 8, pg. 112
- Step-by-step charts
- Comparison worksheets

- Written assignments - Problem-solving - Oral presentations

Measurements

Money - Working out appreciation per annum
Money - Working out depreciation per annum

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

- Define appreciation as gain in value of a commodity
- Calculate appreciation using compound interest method
- Show understanding that appreciation is calculated like compound interest

In groups, learners are guided to:
- Discuss meaning of appreciation in relation to monetary value
- List items that appreciate in value
- Calculate appreciation of land value year by year
- Apply appreciation formula to various scenarios

What items appreciate in value and why?

- Master Mathematics Grade 8, pg. 115
- Calculators
- Appreciation scenario cards
- Charts
- Master Mathematics Grade 8, pg. 116
- Depreciation charts
- Real-life examples

- Written exercises - Problem-solving - Oral questions

Measurements

Money - Hire purchase
Money - Visiting financial institutions and using IT for shopping

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

- Explain hire purchase as buying goods through installments
- Calculate total cost under hire purchase
- Show consumer awareness in comparing cash and hire purchase prices

In groups, learners are guided to:
- Visit places offering hire purchase or do online searches
- Discuss different terms of purchase
- Calculate installment periods and total amounts
- Compare hire purchase prices with cash prices for consumer protection

How do we pay for goods on hire purchase?

- Master Mathematics Grade 8, pg. 117
- Hire purchase documents
- Price comparison charts
- Calculators
- Master Mathematics Grade 8, pg. 118
- Digital devices
- Internet access
- Financial institution brochures
- Guest speakers

- Written assignments - Research projects - Oral presentations

4.0: Geometry

4.3: Scale Drawing - Representation of length to given scale
4.3: Scale Drawing - Converting actual length to scale length

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

- Define scale and its purpose
- Determine scale from given measurements
- Show understanding of proportion

In groups, learners are guided to:
- Compare sizes of objects and their representations
- Discuss need for scale in drawings
- Measure actual dimensions
- Choose appropriate scale for representations
- Calculate scale from given information
- Express scale in different forms

Why do we need scale when drawing large objects?

- MASTER Mathematics Grade 8 Learner's Book pg. 160
- Ruler
- Tape measure
- Pencil
- Drawing paper
- Calculator
- Conversion tables

- Observation - Oral questions - Practical tasks

4.0: Geometry

4.3: Scale Drawing - Converting scale length to actual length
4.3: Scale Drawing - Interpreting linear scales in statement form

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

- Explain the process of converting scale to actual measurements
- Convert scale measurements to actual measurements accurately
- Show systematic calculation approach

In groups, learners are guided to:
- Measure lengths on scale diagrams
- Use given scales to find actual lengths
- Calculate actual distances
- Work with different unit conversions
- Practice reverse calculations

How do we find real dimensions from scale drawings?

- MASTER Mathematics Grade 8 Learner's Book pg. 160
- Ruler
- Calculator
- Scale drawings
- Pencil
- Maps with linear scales
- Sample plans

- Observation - Written tests - Practical tasks

4.0: Geometry

4.3: Scale Drawing - Writing linear scales in statement form

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

- Recall the format for writing scales in statement form
- Express scales in statement form clearly and accurately
- Demonstrate understanding of scale notation

In groups, learners are guided to:
- Express given scales in statement form
- Write statements using proper format
- Practice with scales showing various divisions
- Convert linear scales to statements
- Discuss advantages of statement form

Why is statement form useful for describing scales?

- MASTER Mathematics Grade 8 Learner's Book pg. 160
- Ruler
- Linear scale examples
- Pencil
- Drawing paper

- Observation - Written tests - Practical tasks

4.0: Geometry

4.3: Scale Drawing - Interpreting linear scales in ratio form
4.3: Scale Drawing - Writing linear scales in ratio form

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

- Define ratio form of scales
- Convert measurements to same units and express scales as ratios
- Show understanding of proportional relationships

In groups, learners are guided to:
- Convert scales ensuring same units
- Express scales as ratios
- Practice unit conversions before writing ratios
- Work with various scales
- Understand ratios have no units

What does a scale ratio tell us about a drawing?

- MASTER Mathematics Grade 8 Learner's Book pg. 160
- Ruler
- Calculator
- Conversion charts
- Pencil
- Conversion tables
- Practice worksheets

- Observation - Problem-solving - Oral questions

4.0: Geometry

4.3: Scale Drawing - Converting scale from statement to ratio form
4.3: Scale Drawing - Converting scale from ratio to statement form

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

- List the steps for converting statement to ratio form
- Convert statement form scales to ratio form systematically
- Show computational proficiency

In groups, learners are guided to:
- Convert statement scales to ratio form
- Practice with different unit combinations
- Apply systematic conversion process
- Work with plans and maps
- Verify conversions

What steps ensure correct conversion from statement to ratio?

- MASTER Mathematics Grade 8 Learner's Book pg. 160
- Calculator
- Ruler
- Unit conversion chart
- Pencil
- Atlas

- Observation - Written tests - Practical tasks

4.0: Geometry

4.3: Scale Drawing - Making scale drawings with calculations
4.3: Scale Drawing - Scale drawings with distance calculations

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

- Identify dimensions needed for scale drawings
- Calculate scale lengths and make accurate scale drawings
- Show precision in measurements and drawing

In groups, learners are guided to:
- Calculate scale lengths before drawing
- Make accurate scale drawings of various shapes
- Apply appropriate scales
- Measure and verify dimensions
- Calculate areas from scale drawings

Why must we calculate scale lengths before drawing?

- MASTER Mathematics Grade 8 Learner's Book pg. 160
- Ruler
- Pencil
- Calculator
- Drawing paper
- Pair of compasses
- Graph paper

- Observation - Practical construction - Written tests

4.0: Geometry

4.3: Scale Drawing - Using maps and demonstrating scale
4.3: Scale Drawing - Application problems with scale

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

- Identify scales on actual maps
- Read scales from maps and measure distances accurately
- Appreciate real-world applications of scale

In groups, learners are guided to:
- Examine maps in atlas
- Identify and read map scales
- Measure distances between locations
- Calculate actual distances using scale
- Compare different maps with different scales
- Discuss map features

How does scale choice affect what we can show on a map?

- MASTER Mathematics Grade 8 Learner's Book pg. 160
- Atlas
- Maps
- Ruler
- Calculator
- Digital resources
- Problem cards
- Reference materials

- Observation - Practical measurement - Oral questions

4.0: Geometry

4.3: Scale Drawing - Using ICT for scale and maps
4.4: Common Solids - Identifying common solids from environment

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

- Describe how digital maps use scale
- Use digital devices to display maps and demonstrate zoom functions
- Show digital literacy in geography context

In groups, learners are guided to:
- Access digital maps on devices
- Use zoom function to change scale
- Observe how scale changes with zoom level
- Measure distances on digital maps
- Compare scale indicators on digital and paper maps
- Discuss advantages of digital tools

How does zooming affect the scale of a digital map?

- MASTER Mathematics Grade 8 Learner's Book pg. 160
- Digital devices (tablets/computers)
- Internet access
- Digital mapping software
- Projector
- MASTER Mathematics Grade 8 Learner's Book pg. 176
- Collection of solid objects
- Models of solids
- Pictures of buildings
- Digital images

- Observation - Practical demonstration - Oral questions

4.0: Geometry

4.4: Common Solids - Properties of solids (faces, edges, vertices)
4.4: Common Solids - Sketching nets of cubes

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

- Define faces, edges and vertices
- Identify and count faces, edges and vertices of given solids
- Show understanding of 3D properties

In groups, learners are guided to:
- Examine labeled solids
- Name all faces of solids
- Identify all edges
- Locate all vertices
- Practice with different solids
- Record properties systematically

How do faces, edges and vertices define a solid?

- MASTER Mathematics Grade 8 Learner's Book pg. 176
- Models of solids
- Ruler
- Labels
- Worksheet
- Model cubes
- Scissors/razor blade
- Pencil
- Plain paper

- Observation - Written assignments - Practical identification

4.0: Geometry

4.4: Common Solids - Sketching nets of cuboids
4.4: Common Solids - Sketching nets of cylinders

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

- Identify faces of cuboids
- Sketch nets of closed and open cuboids
- Show accuracy in net construction

In groups, learners are guided to:
- Label cuboid vertices
- Cut along specified edges
- Spread faces on flat surface
- Sketch net with all faces for closed cuboid
- Sketch net with appropriate faces for open cuboid
- Identify pairs of equal faces

How does the net of a cuboid differ from that of a cube?

- MASTER Mathematics Grade 8 Learner's Book pg. 176
- Model cuboids
- Scissors/razor blade
- Ruler
- Pencil
- Grid paper
- Model cylinders
- Pair of compasses

- Observation - Practical tasks - Written tests

4.0: Geometry

4.4: Common Solids - Sketching nets of pyramids
4.4: Common Solids - Sketching nets of cones

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

- Describe components of pyramid nets
- Sketch nets of pyramids with different bases
- Show precision in drawing nets

In groups, learners are guided to:
- Label pyramid vertices
- Cut along slant edges
- Lay faces on flat surface
- Sketch net showing base and triangular faces
- Ensure triangular faces connect to base edges
- Practice with different base dimensions

How many triangular faces does a square-based pyramid have?

- MASTER Mathematics Grade 8 Learner's Book pg. 176
- Model pyramids
- Scissors/razor blade
- Ruler
- Pencil
- Drawing paper
- Model cones
- Protractor
- Pair of compasses

- Observation - Practical tasks - Peer review

4.0: Geometry

4.4: Common Solids - Matching solids to nets and vice versa
4.4: Common Solids - Surface area of cubes from nets

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

- Identify solids from their nets
- Match given solids to correct nets
- Demonstrate spatial reasoning

In groups, learners are guided to:
- Match various solids to their nets
- Identify which solid each net will form
- Draw solid that corresponds to given net
- Practice visualizing 3D from 2D
- Sketch nets for solids with various dimensions

How can we visualize the solid from looking at its net?

- MASTER Mathematics Grade 8 Learner's Book pg. 176
- Various nets
- Model solids
- Ruler
- Pencil
- Matching cards
- Model cubes
- Calculator
- Net templates

- Observation - Practical matching - Problem-solving

4.0: Geometry

4.4: Common Solids - Surface area of cuboids from nets

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

- State the formula for surface area of cuboid
- Calculate total surface area of cuboid from nets
- Show organized calculation method

In groups, learners are guided to:
- Draw net of cuboid with given dimensions
- Calculate areas of different faces
- Identify pairs of equal faces
- Add all areas to find total
- Practice with various dimensions
- Verify calculations

Why do we calculate surface area in pairs for cuboids?

- MASTER Mathematics Grade 8 Learner's Book pg. 176
- Model cuboids
- Ruler
- Calculator
- Grid paper
- Pencil

- Observation - Written assignments - Practical calculations

4.0: Geometry

4.4: Common Solids - Surface area of cylinders from nets
4.4: Common Solids - Surface area of pyramids from nets

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

- State components of cylinder surface area
- Calculate total surface area of cylinder from nets
- Demonstrate formula application

In groups, learners are guided to:
- Identify net components
- Calculate area of circular faces
- Find rectangle dimensions using circumference
- Calculate rectangular area
- Add areas for total surface area
- Practice with different dimensions

How is the circumference used in finding surface area?

- MASTER Mathematics Grade 8 Learner's Book pg. 176
- Model cylinders
- Ruler
- Calculator
- Pair of compasses
- Formula chart
- Model pyramids
- Pencil
- Net templates

- Observation - Problem-solving - Written tests

4.0: Geometry

4.4: Common Solids - Surface area of cones and distance on surfaces
4.4: Common Solids - Making models of hollow solids (cubes and cuboids)

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

- State formula for surface area of cone
- Calculate surface area of cone from net and determine shortest distances on solid surfaces
- Show advanced spatial reasoning

In groups, learners are guided to:
- Identify cone net components
- Calculate circular base area
- Calculate sector area using given angle
- Find total surface area
- Open cuboid into net to find paths between points
- Measure distances along net surface

How does opening a solid help find distances on its surface?

- MASTER Mathematics Grade 8 Learner's Book pg. 176
- Model cones and cuboids
- Protractor
- Calculator
- String
- Scissors
- Manila paper
- Ruler
- Pencil
- Glue/paste
- Colored markers

- Observation - Problem-solving - Practical tasks

4.0: Geometry
5.0: Data Handling and Probability

4.4: Common Solids - Making models of cylinders, cones and pyramids
4.4: Common Solids - Using IT devices and drawing technology
5.1: Data Presentation and Interpretation - Collecting data and drawing bar graphs

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

- Explain steps for making different hollow models
- Construct hollow cylinder, cone and pyramid models
- Show precision and craftsmanship

In groups, learners are guided to:
- Draw cylinder net with calculated dimensions
- Construct cone net with appropriate sector angle
- Draw pyramid net with correct measurements
- Cut and fold to form solids
- Paste edges to complete models
- Display and compare models

How do we ensure the cylinder's rectangle matches the circle?

- MASTER Mathematics Grade 8 Learner's Book pg. 176
- Manila paper
- Pair of compasses
- Protractor
- Ruler
- Scissors
- Glue
- Computers/tablets
- Internet access
- GeoGebra software
- Projector
- 3D modeling apps
- MASTER Mathematics Grade 8 Learner's Book pg. 197
- Graph paper
- Pencil
- Data collection sheets

- Observation - Practical construction - Written reflection

5.0: Data Handling and Probability

5.1: Data Presentation and Interpretation - Drawing bar graphs with suitable scale
5.1: Data Presentation and Interpretation - Interpreting bar graphs
5.1: Data Presentation and Interpretation - Drawing line graphs
5.1: Data Presentation and Interpretation - Interpreting line graphs

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

- State the steps for drawing bar graphs
- Draw bar graphs with appropriate scales for different data sets
- Show accuracy in graph construction

In groups, learners are guided to:
- Choose uniform width for bars
- Select uniform gaps between bars
- Choose suitable scale for vertical axis
- Calculate heights of bars according to scale
- Draw bars accurately
- Label axes properly
- Practice with various data sets

How do we choose an appropriate scale for a bar graph?

- MASTER Mathematics Grade 8 Learner's Book pg. 197
- Graph paper
- Ruler
- Pencil
- Calculator
- Data tables
- Sample bar graphs
- Question sheets
- Sample line graphs

- Observation - Practical construction - Written assignments

5.0: Data Handling and Probability

5.1: Data Presentation and Interpretation - Identifying mode of discrete data
5.1: Data Presentation and Interpretation - Calculating mean of discrete data
5.1: Data Presentation and Interpretation - Working out averages from different sets

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

- Define mode and bimodal data
- Identify the mode from given discrete data sets
- Appreciate mode as a measure of central tendency

In groups, learners are guided to:
- Identify numbers in data sets
- Count frequency of each number
- Identify most occurring number
- Determine mode from various data sets
- Identify bimodal data
- Practice finding mode from different contexts

What does the mode tell us about a set of data?

- MASTER Mathematics Grade 8 Learner's Book pg. 197
- Number cards
- Pencil
- Exercise books
- Data sets
- Calculator
- Problem cards

- Observation - Oral questions - Written assignments

5.0: Data Handling and Probability

5.1: Data Presentation and Interpretation - Determining median of discrete data
5.1: Data Presentation and Interpretation - Using IT for data presentation and calculations

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

- Define median and explain the process of finding it
- Determine the median of discrete data for odd and even sets
- Show systematic approach in finding median

In groups, learners are guided to:
- Arrange data in ascending or descending order
- Identify middle value for odd sets
- Calculate median for even sets by averaging two middle values
- Practice finding median for various data sets
- Compare median with mode and mean
- Discuss applications

Why must data be arranged in order before finding the median?

- MASTER Mathematics Grade 8 Learner's Book pg. 197
- Number cards
- Pencil
- Exercise books
- Calculator
- Computers/tablets
- Spreadsheet software
- Internet access
- Projector
- Data sets

- Observation - Oral questions - Written tests

5.0: Data Handling and Probability

5.2: Probability - Identifying events involving chance in real life
5.2: Probability - Discussing likely and unlikely events

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

- Define chance and probability
- Identify events involving chance in daily life
- Show awareness of probability in real situations

In groups, learners are guided to:
- Discuss possibilities in various scenarios
- Identify chance events in sports
- Recognize chance in weather predictions
- Discuss chance in games
- List daily events involving chance
- Share observations with class

What is chance and where do we encounter it in daily life?

- MASTER Mathematics Grade 8 Learner's Book pg. 210
- Pictures of chance events
- Pencil
- Chart paper
- Real-life scenario cards
- Likelihood scale chart
- Event cards
- Exercise books

- Observation - Oral questions - Class discussion

5.0: Data Handling and Probability

5.2: Probability - Performing chance experiments
5.2: Probability - Writing experimental probability outcomes

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

- Define chance experiment
- Perform chance experiments such as flipping coins, tossing dice, and drawing objects
- Show interest in hands-on probability activities

In groups, learners are guided to:
- Obtain coins and flip them
- Toss dice and record outcomes
- Draw colored balls or beads from bags
- Use spinners and record results
- Record outcomes from experiments
- Compare results with other groups
- Discuss patterns observed

What are the possible outcomes when we perform chance experiments?

- MASTER Mathematics Grade 8 Learner's Book pg. 210
- Coins
- Dice
- Colored balls/beads
- Bags
- Spinners
- Recording sheets
- Number cards
- Pencil
- Exercise books

- Observation - Practical tasks - Oral questions

5.0: Data Handling and Probability

5.2: Probability - Expressing probability outcomes as fractions
5.2: Probability - Expressing probability as decimals and percentages

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

- State the formula for probability as a fraction
- Express probability outcomes as fractions accurately
- Show understanding of favorable outcomes

In groups, learners are guided to:
- Identify total possible outcomes
- Identify favorable outcomes
- Express probability as fraction of favorable to total outcomes
- Simplify probability fractions
- Calculate probabilities from various scenarios
- Solve word problems involving probability
- Verify answers

How do we express the chance of an event happening as a fraction?

- MASTER Mathematics Grade 8 Learner's Book pg. 210
- Colored balls/beads
- Bags
- Calculator
- Pencil
- Exercise books
- Conversion charts

- Observation - Written assignments - Problem-solving tasks

5.0: Data Handling and Probability

5.2: Probability - Using IT to play probability games

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

- Identify digital tools for probability activities
- Use technology to play games involving probability and simulate experiments
- Appreciate technology in learning probability

In groups, learners are guided to:
- Access online probability games
- Use software to simulate coin flips
- Use apps to simulate dice rolls
- Play digital probability games
- Record results from digital experiments
- Compare manual and digital experiments
- Discuss advantages of using technology

How does technology help us understand probability better?

- MASTER Mathematics Grade 8 Learner's Book pg. 210
- Computers/tablets
- Internet access
- Probability apps/software
- Projector
- Recording sheets

- Observation - Digital portfolio - Practical demonstration - Oral presentation