Measurements

Circles - Circumference of a circle

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

- Work out the circumference of a circle using the formula C = πd or C = 2πr
- Apply the circumference formula to real-life situations involving circular objects
- Show integrity when drawing circles and working out their circumference

In groups, learners are guided to:
- Collect cylindrical objects (cups, pipes, tins) and wrap a string around each to measure circumference
- Measure the diameter using set squares and calculate C/d; observe it approximates π (≈ 3.142 or 22/7)
- Use the formula C = πd and C = 2πr to work out circumferences of given circles
- Discuss real-life examples: bicycle wheels, circular tanks, compact discs

How do we determine the circumference of a circle?

Smart Minds Mathematics Grade 8 pg. 104
- Cylindrical objects (cups, tins, pipes)
- String, ruler, set squares
- Digital resources

- Oral questions - Written assignments

Measurements

Circles - Length of an arc of a circle
Circles - Length of an arc (continued)
Circles - Perimeter of a sector of a circle
Circles - Perimeter of a sector (continued and application)

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

- Identify major arc, minor arc and semicircle in a circle
- Work out the length of an arc using the formula l = (θ/360) × 2πr
- Appreciate the relationship between arc length and the circumference of a circle

In groups, learners are guided to:
- Draw a circle on manila paper, cut into equal parts and measure arc lengths
- Compare ratio of arc length to circumference with ratio of angle at centre to 360°; observe they are equal
- Use cut-outs (semicircle, quarter circle) to relate arc length to fraction of circumference
- Calculate arc lengths given radius and angle subtended at the centre

How do we calculate the length of an arc of a circle?

Smart Minds Mathematics Grade 8 pg. 107
- Manila paper, pair of compasses, scissors
- Ruler, protractor
- Digital resources
- Mathematical tables
- Calculators
Smart Minds Mathematics Grade 8 pg. 110
- Reference books

- Written assignments - Oral questions

Measurements

Area - Area of a circle
Area - Area of a sector of a circle
Area - Surface area of cubes and cuboids

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

- Derive the formula for the area of a circle from a dissected circle activity
- Calculate the area of a circle in different situations
- Apply the area of a circle to real-life situations

In groups, learners are guided to:
- Draw a circle, divide into 16 equal sectors, rearrange into an approximate rectangle; derive A = πr²
- Calculate areas of circles given radius or diameter
- Solve real-life problems: grazing area for a tethered cow, area of a circular field, area of circular plots

How do we use area in real-life situations?

Smart Minds Mathematics Grade 8 pg. 114
- Manila paper, pair of compasses, scissors
- Calculators
- Digital resources
Smart Minds Mathematics Grade 8 pg. 118
Smart Minds Mathematics Grade 8 pg. 116
- Clay/cartons/plasticine
- Ruler

- Oral questions - Written assignments

Measurements

Area - Surface area of cylinders and triangular prisms
Area - Area of irregular shapes

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

- Work out the surface area of closed, open and hollow cylinders
- Determine the surface area of a triangular prism
- Use IT tools and other materials to learn more about surface area

In groups, learners are guided to:
- Collect a cylindrical object, wrap paper around curved surface; open and measure to show curved surface area = 2πrh
- Derive: closed cylinder = 2πr² + 2πrh; open cylinder = πr² + 2πrh; hollow cylinder = 2πrh
- Identify faces of a triangular prism (2 triangles + 3 rectangles) and find total surface area
- Watch videos on surface area of cubes, cuboids, cylinders and prisms
- Solve real-life problems: cylindrical tins, pipes, metal rods, wedge-shaped pieces of wood

How do we calculate the surface area of cylinders and triangular prisms?

Smart Minds Mathematics Grade 8 pg. 116
- Cylindrical objects, manila paper
- Calculators
- Digital resources (videos)
Smart Minds Mathematics Grade 8 pg. 126
- Unit square grid paper
- Leaves/irregular objects
- Digital resources

- Written assignments - Oral questions

Measurements

Money - Principal and interest
Money - Simple interest

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

- Identify principal and interest in real-life financial situations
- Calculate interest given principal and amount in different situations
- Show interest in consumer awareness and financial responsibility

In groups, learners are guided to:
- Visit or invite a resource person from a financial institution to discuss services, deposits, loans and interest
- Discuss meanings of: principal (money deposited or borrowed), interest (additional charge or earnings), amount (principal + interest)
- Calculate interest and principal from given real-life statements (bank deposits, SACCO loans)
- Write a report and share findings with classmates

What is interest in money?

Smart Minds Mathematics Grade 8 pg. 130
- Resource person (banker/SACCO officer)
- Digital resources
- Reference books
Smart Minds Mathematics Grade 8 pg. 132
- Calculators

- Oral questions - Observation - Written assignments

Measurements

Money - Simple interest (continued)

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

- Find principal, rate or time when other values are known
- Apply simple interest to varied real-life financial contexts
- Spend money responsibly on needs and leisure

In groups, learners are guided to:
- Rearrange SI formula to find P, R or T when the other values are given
- Solve problems: find principal given SI, rate and time; find rate given SI, principal and time
- Discuss real-life contexts: borrowing from SACCOs, saving in banks, mobile money apps
- Use calculators to verify solutions

How is simple interest used in everyday financial decisions?

Smart Minds Mathematics Grade 8 pg. 132
- Calculators
- Digital resources

- Written tests - Oral questions

Measurements

Money - Compound interest
Money - Compound interest (continued)

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

- Distinguish between simple interest and compound interest
- Calculate compound interest per annum step by step up to three years
- Appreciate that compound interest grows faster than simple interest

In groups, learners are guided to:
- Invite resource person from a financial institution or watch a video on compound interest
- Discuss: in compound interest the interest earned is added to principal at end of each year; new principal earns interest next year
- Calculate compound interest year by year for up to 3 years using: Interest = P × R/100 × 1 year
- Compare compound interest with simple interest on the same principal

How is compound interest different from simple interest?

Smart Minds Mathematics Grade 8 pg. 134
- Calculators
- Digital resources (videos)
- Resource person
- Digital resources

- Written assignments - Oral questions

Measurements

Money - Appreciation and depreciation
Money - Depreciation

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

- Explain the meaning of appreciation and identify items that appreciate in value
- Work out appreciation per annum step by step up to three years
- Make informed decisions on goods worth investing in

In groups, learners are guided to:
- Discuss: appreciation = increase in value over time (land, gold, currency); initial value = principal
- Calculate appreciated value year by year: new value = old value + (old value × rate/100)
- Solve problems: commercial plots, buildings, batteries over 2–3 years
- Identify and discuss items in the local environment that appreciate in value

What causes the value of assets to appreciate over time?

Smart Minds Mathematics Grade 8 pg. 138
- Calculators
- Newspaper property pages
- Digital resources
- Price lists / advertisements

- Written assignments - Oral questions

Measurements

Money - Hire purchase
Money - Hire purchase (continued and application)

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

- Explain the meaning of hire purchase and compare it with cash purchase
- Work out hire purchase price given deposit and monthly instalments
- Recognise why hire purchase price is higher than cash price

In groups, learners are guided to:
- Visit a shop or study a catalogue; enquire about cash price and hire purchase price of items
- Record: deposit, monthly instalment, number of months for different items
- Establish: hire purchase price = deposit + total monthly instalments
- Compare hire purchase price with cash price; discuss why people prefer hire purchase despite higher cost
- Solve problems: find hire purchase price, monthly instalment, deposit or number of months

How do we pay for goods on hire purchase?

Smart Minds Mathematics Grade 8 pg. 144
- Shop catalogues / price lists
- Calculators
- Digital resources
- Reference books

- Written assignments - Oral questions - Observation

Geometry

Scale Drawing - Representing length to a given scale

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

- Explain the concept of scale drawing as a reduced or enlarged representation
- Represent the length of objects from the environment to a given scale
- Show responsibility when measuring and representing objects to scale

In groups, learners are guided to:
- Measure lengths of objects in the classroom (blackboard, desk, window) using a tape measure
- Represent each length using a given scale (e.g. 1 cm represents 1 m)
- Record actual length and drawing length in a table
- Discuss: scale drawing allows large objects to be represented on paper; drawing length is always stated first in the scale

How do we determine scales in real life?

Smart Minds Mathematics Grade 8 pg. 211
- Tape measure / metre rule
- Ruler
- Digital resources

- Oral questions - Observation

Geometry

Scale Drawing - Converting actual length to scale length
Scale Drawing - Converting scale length to actual length

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

- Convert actual length to scale length using a given scale
- Apply the conversion to real-life contexts involving distances and land
- Show accuracy when converting lengths

In groups, learners are guided to:
- Discuss: divide actual length by the second number of the scale to get drawing length
- Convert actual lengths to scale lengths for various scales (1 cm represents 3 km, 1 cm represents 50 000 cm)
- Convert actual lengths in km to cm before dividing where necessary
- Solve problems involving road lengths, river lengths and field dimensions

How do we convert actual lengths to scale lengths?

Smart Minds Mathematics Grade 8 pg. 214
- Ruler
- Calculators
- Digital resources
Smart Minds Mathematics Grade 8 pg. 216
- Maps or scale diagrams

- Written assignments - Oral questions

Geometry

Scale Drawing - Linear scale in statement form
Scale Drawing - Linear scale in ratio form

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

- Interpret a linear scale expressed in statement form
- Write a linear scale in statement form given drawing and actual lengths
- Convert a scale statement between different units (cm, m, km)
- Recognise the use of scale drawing in maps

In groups, learners are guided to:
- Read and interpret scales in statement form: "1 cm represents 5 km"
- Convert scale statements to different units: 1 cm represents 5 km = 1 cm represents 500 000 cm
- Given drawing length and actual length, simplify to a unit drawing length and write in statement form
- Practise writing scales for real objects (pencils, railway lines, paths)

How do we interpret and write scales in statement form?

Smart Minds Mathematics Grade 8 pg. 218
- Ruler
- Calculators
- Digital resources
Smart Minds Mathematics Grade 8 pg. 221

- Written assignments - Oral questions

Geometry

Scale Drawing - Converting linear scales between forms

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

- Convert a linear scale from statement form to ratio form
- Convert a linear scale from ratio form to statement form
- Apply conversions to real-life map contexts

In groups, learners are guided to:
- Convert statement form to ratio form: change actual length to same units as drawing length, then express as 1:n
- Convert ratio form to statement form: interpret 1:n as "1 cm represents n cm" then express in appropriate units
- Use online map scale calculator to practise conversions
- Discuss: maps use ratio form (e.g. 1:50 000) while builders may use statement form

How do we convert scales between statement and ratio form?

Smart Minds Mathematics Grade 8 pg. 224
- Ruler
- Calculators
- Digital resources (map scale calculator)

- Written assignments - Oral questions

Geometry

Scale Drawing - Making scale drawings
Scale Drawing - Making scale drawings (continued and application)

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

- Choose an appropriate scale for a given set of dimensions
- Calculate drawing dimensions from actual dimensions using the chosen scale
- Make an accurate scale drawing of a shape or plot of land

In groups, learners are guided to:
- Discuss how to choose a scale: the drawing must fit comfortably in the available space
- Calculate drawing dimensions by dividing actual dimensions by the scale factor
- Make scale drawings of rectangular plots, rooms, and irregular land shapes
- Measure distances and angles on completed scale drawings and interpret in context

Where do we use scale drawing in real-life situations?

Smart Minds Mathematics Grade 8 pg. 227
- Ruler, protractor, pair of compasses
- Graph books/grid paper
- Digital resources
- Tape measure
- Ruler, graph paper
- Digital resources (maps, ICT)

- Written assignments - Observation

Geometry

Scale Drawing - Review and consolidation
Common Solids - Identifying common solids from the environment

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

- Apply all scale drawing skills to solve varied real-life problems
- Interpret scales on maps and plans
- Recognise the use of scale drawing in maps and construction

In groups, learners are guided to:
- Solve mixed problems: convert actual to scale length, scale to actual length, write and convert scales, make scale drawings
- Interpret and use scales on real maps to measure distances between places
- Discuss how scale drawing is used in Pre-Technical Studies, architecture and surveying

Why is scale drawing an important skill in real life?

Smart Minds Mathematics Grade 8 pg. 211
- Ruler, calculators
- Maps
- Digital resources
Smart Minds Mathematics Grade 8 pg. 231
- Collected solid objects
- Digital resources (videos)

- Written tests - Oral questions - Observation

Geometry

Common Solids - Edges, vertices and faces of common solids
Common Solids - Sketching nets of solids

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

- Count and record edges, vertices and faces of common solids
- Classify solids by their faces, edges and vertices
- Show responsibility when handling solid models

In groups, learners are guided to:
- Collect or make models of cube, cuboid, square-based pyramid, triangular pyramid, cone, cylinder and sphere
- Count faces, vertices and edges for each; record in a table
- Discuss: a cube has 6 faces, 12 edges, 8 vertices; a cone has 1 face, 0 edges, 1 vertex (apex)
- Sort solids by number of faces and discuss patterns

How do we classify common solids?

Smart Minds Mathematics Grade 8 pg. 233
- Solid models (clay/cartons)
- Digital resources
Smart Minds Mathematics Grade 8 pg. 234
- Manila paper, scissors, pair of compasses
- Ruler

- Oral questions - Written assignments

Geometry

Common Solids - Nets of cylinders, pyramids and cones

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

- Sketch nets of closed and open cylinders
- Sketch nets of square-based pyramids and cones
- Identify the solid formed by a given net

In groups, learners are guided to:
- Sketch net of closed cylinder (2 circles + rectangle); open cylinder (1 circle + rectangle)
- Sketch net of square-based pyramid (1 square + 4 triangles); triangular prism (2 triangles + 3 rectangles)
- Sketch net of cone (circle + sector); note: curved surface opens to a sector
- Draw a given net on thick paper, fold and paste to identify the resulting solid

How do we sketch and use nets of common solids?

Smart Minds Mathematics Grade 8 pg. 234
- Manila paper, scissors, pair of compasses
- Ruler, protractor
- Digital resources

- Written assignments - Observation

Geometry

Common Solids - Surface area of cubes and cuboids from nets
Common Solids - Surface area of cylinders and triangular prisms from nets

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

- Use nets to calculate the surface area of cubes
- Use nets to calculate the surface area of closed and open cuboids
- Appreciate the use of nets in calculating surface area

In groups, learners are guided to:
- Draw net of a cube; count 6 equal squares; multiply area of one square by 6 for surface area
- Draw net of closed cuboid; identify 3 pairs of equal rectangles; sum all six areas for surface area
- Draw net of open cuboid; identify 5 rectangles; sum their areas
- Solve real-life problems: surface area of dice, cartons, rooms

How do we use nets to calculate the surface area of solids?

Smart Minds Mathematics Grade 8 pg. 239
- Graph books/squared paper
- Ruler
- Calculators
- Ruler, calculators
- Digital resources

- Written assignments - Oral questions

Geometry

Common Solids - Surface area of pyramids and cones from nets
Common Solids - Distance between two points on the surface of a solid

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

- Use nets to calculate the surface area of square-based pyramids
- Use nets to calculate the surface area of cones
- Apply surface area calculations to real-life problems

In groups, learners are guided to:
- Draw net of square-based pyramid (square + 4 triangles); calculate area of base and each triangular face; sum all areas
- Draw net of cone (circle + sector); calculate area of circle = πr²; area of sector = (θ/360)πl²; find sum
- Solve problems: surface area of tent models combining cube and pyramid, gift boxes, display cones

How do we calculate the surface area of pyramids and cones from nets?

Smart Minds Mathematics Grade 8 pg. 239
- Graph books/squared paper
- Ruler, calculators
- Digital resources
Smart Minds Mathematics Grade 8 pg. 254
- Card/manila paper, scissors

- Written assignments - Oral questions

Geometry

Common Solids - Distance between two points (continued)

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

- Calculate the distance between two points on the surface of a triangular prism
- Solve more complex surface distance problems on various solids
- Demonstrate confidence when applying Pythagoras' theorem on nets

In groups, learners are guided to:
- Open a triangular prism into its net; identify the right-angled triangle formed between the two points
- Use Pythagoras' theorem to calculate required distances step by step
- Solve problems where the path passes through more than one face
- Verify answers by measuring on physical models

What information do we need to find the distance between two points on a solid's surface?

Smart Minds Mathematics Grade 8 pg. 254
- Card/manila paper, scissors
- Ruler, calculators
- Digital resources

- Written assignments - Oral questions

Geometry

Common Solids - Making models of hollow and compact solids
Common Solids - Making models (continued) and review

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

- Make models of hollow solids (cube, cuboid, cylinder, pyramid, cone) using locally available materials
- Make compact solid models using clay or plasticine
- Promote the use of common solids in real-life situations

In groups, learners are guided to:
- Use thick paper, cartons or manila paper to construct nets and fold into hollow solid models
- Use clay or plasticine to make compact solid models of cubes, cuboids and cylinders
- Carry out an ethnomath project: discuss how pots were moulded and decorated in African culture
- Use IT devices to watch videos on making models of common solids
- Display and discuss completed models with the class

How do we use common solids in real life?

Smart Minds Mathematics Grade 8 pg. 259
- Clay/plasticine
- Manila paper, cartons, scissors
- Digital resources (videos)
- Manila paper, ruler
- Digital resources

- Observation - Oral questions - Project work

Geometry

Coordinates and Graphs - Simultaneous equations (real-life problem 2)
Coordinates and Graphs - Simultaneous equations (real-life problem 3)

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

- Draw tables of values and graphs for a pair of simultaneous equations from a word problem
- Read and interpret the solution from the point of intersection
- Show confidence in using graphical methods

In groups, learners are guided to:
- Form and solve simultaneous equations from market/shopping scenarios (books and pencils, cows and goats, plates and spoons)
- Draw tables of values for both equations; plot on same Cartesian plane
- Read intersection point; write solution and interpret in context
- Verify by substituting back into both equations

How do we use graphs to solve real-life problems involving two unknowns?

Smart Minds Mathematics Grade 8 pg. 208
- Graph books/grid paper
- Calculators
- Digital resources

- Written assignments - Oral questions

Geometry

Coordinates and Graphs - Simultaneous equations (practice and consolidation)
Coordinates and Graphs - Review and application

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

- Solve a variety of simultaneous equation pairs graphically
- Select an appropriate scale to display both graphs clearly
- Use IT graphing tools to confirm graphical solutions

In groups, learners are guided to:
- Solve at least four pairs of simultaneous equations graphically including those with negative values
- Choose appropriate scales independently for each set of equations
- Use IT graphing tools to draw the graphs and verify intersection points

When is the graphical method preferred for solving simultaneous equations?

Smart Minds Mathematics Grade 8 pg. 208
- Graph books/grid paper
- Digital resources
Smart Minds Mathematics Grade 8 pg. 198

- Written tests - Oral questions

Geometry

Scale Drawing - Converting linear scales (practice)

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

- Convert a variety of scales between statement and ratio form fluently
- Solve problems requiring identification and use of scales on plans and maps
- Show critical thinking when selecting and converting scales

In groups, learners are guided to:
- Convert multiple scales in both directions (statement → ratio, ratio → statement) using varied units
- Use an online map scale calculator to practice conversions
- Solve problems: identify scale from drawing and actual length; express in both forms
- Discuss how architects and surveyors use both forms of scale in their work

How do engineers and map makers use both forms of scale?

Smart Minds Mathematics Grade 8 pg. 224
- Ruler, calculators
- Digital resources (map scale calculator)

- Written assignments - Oral questions

Geometry

Scale Drawing - Making scale drawings (introduction)
Scale Drawing - Making scale drawings of irregular shapes

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

- Choose an appropriate scale for given actual dimensions
- Calculate drawing dimensions from actual measurements
- Begin making accurate scale drawings on graph paper

In groups, learners are guided to:
- Discuss how to test whether a scale is appropriate: multiply drawing length by scale factor; check result fits on paper
- For each given scenario, calculate drawing dimensions from actual dimensions
- Begin scale drawings of rectangular plots and rooms; use ruler and protractor for accuracy

What makes a scale appropriate for a particular drawing?

Smart Minds Mathematics Grade 8 pg. 227
- Ruler, graph paper
- Calculators
- Ruler, protractor, tape measure
- Graph paper
- Digital resources

- Oral questions - Written assignments

Geometry

Scale Drawing - Scale Drawing review and consolidation
Common Solids - Surface area of triangular prisms from nets

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

- Solve mixed scale drawing problems involving conversions and making drawings
- Read and use scales on real maps to find distances
- Recognise the use of scale drawing in maps and construction

In groups, learners are guided to:
- Solve mixed review problems: convert lengths, write and convert scales, make scale drawings, read maps
- Use real or printed maps; read the scale and determine distances between places
- Discuss applications: architects, civil engineers, cartographers and urban planners all use scale drawings

Where is scale drawing used across different careers and industries?

Smart Minds Mathematics Grade 8 pg. 211
- Ruler, calculators
- Maps
- Digital resources
Smart Minds Mathematics Grade 8 pg. 239
- Graph books/squared paper

- Written tests - Oral questions - Observation

Geometry

Common Solids - Surface distances on solids (further practice)

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

- Solve further problems involving distance between two points on various solids
- Correctly identify which faces the path crosses when finding surface distances
- Demonstrate systematic problem-solving skills

In groups, learners are guided to:
- Solve surface distance problems on cuboids where the path passes through two faces
- Solve problems on cylinders: unroll curved surface into a rectangle and use Pythagoras
- Solve mixed surface distance problems; verify by measuring on physical models
- Discuss: always open the solid into a net first; the straight-line distance on the net is the shortest surface path

What is the strategy for finding the shortest path between two points on a solid?

Smart Minds Mathematics Grade 8 pg. 254
- Card/manila paper, scissors
- Ruler, calculators
- Digital resources

- Written tests - Oral questions

Geometry

Common Solids - Ethnomath project and final review
Common Solids - Nets and surface area (consolidation)

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

- Connect knowledge of common solids to cultural and real-world applications
- Apply all Common Solids skills in a review activity
- Promote the use of common solids in real-life situations

In groups, learners are guided to:
- Carry out ethnomath project: research and discuss how pots, granaries and other cultural objects reflect solid shapes
- Solve a mixed review of Common Solids: identify solids, sketch nets, calculate surface area, find surface distances, relate to models
- Share completed models and discuss how common solids appear in architecture, engineering and everyday life

How do we use common solids in real life and cultural contexts?

Smart Minds Mathematics Grade 8 pg. 259
- Clay/plasticine
- Digital resources
- Reference books
Smart Minds Mathematics Grade 8 pg. 234
- Graph books/squared paper
- Ruler, calculators

- Written tests - Observation - Oral questions

Geometry
Data Handling and Probability
Data Handling and Probability

Common Solids - Making compact solid models
Data Presentation and Interpretation - Drawing bar graphs
Data Presentation and Interpretation - Drawing bar graphs (continued)

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

- Make compact solid models using clay or locally available materials
- Use drawing materials to draw models and nets of solids
- Appreciate the use of common solids in art and construction

In groups, learners are guided to:
- Use clay or plasticine to make compact solid models of bricks (cuboids), rollers (cylinders) and decorative objects
- Draw models and their nets in exercise books; label all dimensions
- Compare hollow and compact models; discuss where each type is used in real life (hollow: containers, tanks; compact: bricks, rollers)
- Display final models and evaluate creativity and accuracy

What is the difference between hollow and compact solids and where is each used?

Smart Minds Mathematics Grade 8 pg. 259
- Clay/plasticine
- Ruler
- Digital resources
Smart Minds Mathematics Grade 8 pg. 261
- Graph books/grid paper, ruler
- Collected class data
- Calculators

- Observation - Oral questions - Project work

Data Handling and Probability

Data Presentation and Interpretation - Interpreting bar graphs
Data Presentation and Interpretation - Drawing line graphs
Data Presentation and Interpretation - Interpreting line graphs
Data Presentation and Interpretation - Interpreting line graphs (continued)

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

- Read values from a bar graph accurately
- Interpret bar graphs to answer questions about data from real-life situations
- Recognise the use of data representation and interpretation in real life

In groups, learners are guided to:
- Study given bar graphs (health forum attendance, maize production, favourite learning areas)
- Read scales on both axes; identify maximum and minimum values from bar heights
- Answer questions: which category has highest/lowest frequency? What is the difference between two categories? What is the total?
- Discuss real-life uses of bar graphs: government reports, school records, health data

How do we interpret information from a bar graph?

Smart Minds Mathematics Grade 8 pg. 264
- Printed bar graph charts
- Digital resources
- Newspapers/reports
Smart Minds Mathematics Grade 8 pg. 269
- Graph books/grid paper, ruler
- Calculators
Smart Minds Mathematics Grade 8 pg. 273
- Printed line graph charts

- Oral questions - Written assignments

Data Handling and Probability

Data Presentation and Interpretation - Mode of discrete data
Data Presentation and Interpretation - Mean of discrete data
Data Presentation and Interpretation - Median of discrete data

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

- Identify the mode from a set of discrete data
- Find the modal class from a frequency table or tally chart
- Appreciate the mode as a measure of the most common value in a data set

- Each learner writes their favourite fruit on a card and drops it in a basket; count and record frequency of each fruit
- Identify the fruit chosen by most learners as the mode
- Find mode of sets of numbers and from tally charts (modal sport, modal vehicle colour)
- Discuss: mode is the value that appears most frequently; a data set can have more than one mode

How do we determine the most common value in a data set?

Smart Minds Mathematics Grade 8 pg. 278
- Fruit cards/tally charts
- Digital resources
Smart Minds Mathematics Grade 8 pg. 280
- Calculators
- Reference books
Smart Minds Mathematics Grade 8 pg. 283

- Oral questions - Written assignments

Data Handling and Probability

Data Presentation and Interpretation - Review and application

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

- Apply all data presentation and interpretation skills to real-life situations
- Use IT to create graphs and calculate measures of central tendency
- Recognise the use of data representation and interpretation in real life

In groups, learners are guided to:
- Collect data from a class survey (shoe sizes, heights, favourite activities); draw bar graph and line graph
- Calculate mean, mode and median for the collected data set
- Use IT (spreadsheet) to create bar and line graphs and calculate averages
- Discuss real-life uses: hospitals use mean temperature; businesses use mode for stock planning; journalists use median income

How do we use data representation and interpretation in real life?

Smart Minds Mathematics Grade 8 pg. 261
- Graph books/grid paper, ruler
- Calculators
- Digital resources

- Written tests - Oral questions - Observation

Data Handling and Probability

Probability - Identifying events involving chance
Probability - Chance experiments

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

- Identify events that are impossible, unlikely, likely or certain in real-life situations
- Describe the likelihood of events using appropriate vocabulary
- Recognise that there are events that happen by chance in real life

In groups, learners are guided to:
- Make chance cards labelled: CERTAIN, LIKELY, UNLIKELY, WILL NOT HAPPEN
- Discuss daily events and assign each a card: sun rising from east (certain), getting a head on a coin flip (likely), tomorrow being Friday if today is Monday (impossible when false)
- Discuss outcomes of flipping a coin (certain to land; unlikely to land on edge; equal chance of head or tail)
- Discuss outcomes of rolling a die (certain to get 1–6; impossible to get 7)

How do we describe the likelihood of an event happening?

Smart Minds Mathematics Grade 8 pg. 285
- Chance word cards
- Coins, dice
- Digital resources
Smart Minds Mathematics Grade 8 pg. 287
- Colour wheels, coins, dice
- Coloured balls in a bag

- Oral questions - Observation

Data Handling and Probability

Probability - Experimental probability
Probability - Expressing experimental probability as fractions

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

- Define experimental probability and write it as: P(event) = number of occurrences ÷ total number of trials
- Calculate experimental probability from results of chance experiments
- Show accuracy when recording and computing experimental probabilities

In groups, learners are guided to:
- Spin a colour wheel 50 times; record occurrences of each colour in a table
- Calculate experimental probability of each colour: occurrences ÷ total spins
- Flip a coin 20 times; calculate experimental probability of getting a head and of getting a tail
- Toss a die 20 times; calculate experimental probability of each face
- Draw coloured balls from a bag; calculate probability of each colour from the experiment

How do we calculate experimental probability?

Smart Minds Mathematics Grade 8 pg. 290
- Colour wheels, coins, dice
- Coloured balls in a bag
- Calculators
Smart Minds Mathematics Grade 8 pg. 293
- Coins, dice, coloured balls
- Digital resources

- Written assignments - Oral questions

Data Handling and Probability

Probability - Expressing experimental probability as a decimal or percentage
Probability - Experimental probability (extended practice)
Probability - Review and application

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

- Express experimental probability as a decimal
- Express experimental probability as a percentage
- Convert probability between fraction, decimal and percentage forms

In groups, learners are guided to:
- Toss a die 100 times; record occurrences of each outcome; express each probability as a fraction, then as a decimal, then as a percentage
- Convert probability fractions to decimals (divide numerator by denominator) and percentages (multiply decimal by 100)
- Solve problems: defective bottles probability as decimal; favourite breakfast choice as percentage
- Verify: sum of all probabilities for all outcomes = 1 (or 100%)

How do we express probability as a decimal or percentage?

Smart Minds Mathematics Grade 8 pg. 294
- Dice, coins
- Calculators
- Digital resources
Smart Minds Mathematics Grade 8 pg. 290
- Coins, dice
Smart Minds Mathematics Grade 8 pg. 285
- Coins, dice, coloured balls

- Written assignments - Oral questions