Geometry

Geometrical Constructions - Construction of lines and parallel lines
Geometrical Constructions - Construction of perpendicular lines

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

- Construct a line of given length using a ruler and pair of compasses
- Identify and describe properties of parallel lines
- Construct parallel lines using a protractor and ruler or a pair of compasses and ruler
- Show integrity in accurate geometric construction

In groups, learners are guided to:
- Construct lines of given lengths using ruler and pair of compasses
- Trace and extend given lines; observe that parallel lines never meet and are equal distance apart
- Construct a line parallel to a given line using a protractor and ruler
- Construct a line parallel to a given line using a pair of compasses and ruler only

How do we construct polygons?

Smart Minds Mathematics Grade 8 pg. 148
- Pair of compasses, ruler, protractor
- Set squares
- Digital resources
Smart Minds Mathematics Grade 8 pg. 153
- Pair of compasses, ruler, set square, protractor

- Oral questions - Observation

Geometry

Geometrical Constructions - Proportional division of a line
Geometrical Constructions - Angle properties of polygons
Geometrical Constructions - Exterior angles in a polygon
Geometrical Constructions - Construction of regular polygons

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

- Divide a line proportionally into equal parts using a set square and ruler
- Divide a line proportionally using a pair of compasses, ruler and set square
- Appreciate the use of proportional division in real life

In groups, learners are guided to:
- Draw a line XY and an auxiliary line at an acute angle from X; mark equal intervals along the auxiliary line
- Join the last mark to Y; draw parallels from other marks to XY to divide it proportionally
- Repeat the activity using a pair of compasses to mark equal intervals
- Verify by measuring each interval to confirm equal length

How do we divide a line proportionally?

Smart Minds Mathematics Grade 8 pg. 160
- Pair of compasses, ruler, set square
- Digital resources
Smart Minds Mathematics Grade 8 pg. 164
- Protractor, ruler
- Polygon cut-outs
Smart Minds Mathematics Grade 8 pg. 171
- Polygon cards
Smart Minds Mathematics Grade 8 pg. 173
- Pair of compasses, ruler, protractor

- Written assignments - Oral questions

Geometry

Geometrical Constructions - Construction of irregular polygons (triangles)
Geometrical Constructions - Construction of other irregular polygons
Geometrical Constructions - Construction of a circumscribed circle

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

- Construct a triangle given the lengths of three sides (SSS)
- Construct a triangle given two angles and the length of one side (AAS)
- Construct a triangle given two sides and the included angle (SAS)
- Show accuracy in geometric construction

In groups, learners are guided to:
- Construct triangle ABC given three side lengths: draw AB, use arcs from A and B to locate C
- Construct a triangle given two angles and one side: draw base, construct angles at each end and extend until sides meet
- Construct a triangle given two sides and included angle: draw one side, construct angle, mark second side length
- Measure constructed triangles to verify accuracy

How do we construct triangles given different information?

Smart Minds Mathematics Grade 8 pg. 179
- Pair of compasses, ruler, protractor
- Digital resources
Smart Minds Mathematics Grade 8 pg. 183
- Digital resources (videos)
Smart Minds Mathematics Grade 8 pg. 190

- Written assignments - Oral questions

Geometry

Geometrical Constructions - Construction of an inscribed circle
Geometrical Constructions - Circumscribed and inscribed circles (practice)

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

- Bisect angles of a triangle using a pair of compasses
- Locate the incentre as the intersection of angle bisectors
- Draw a circle touching all three sides of a triangle
- Admire geometric patterns created using circles and triangles

In groups, learners are guided to:
- Construct a triangle from given dimensions
- Bisect any two angles; let bisectors meet at O (incentre)
- Drop a perpendicular from O to one side; use this length as radius
- Draw the inscribed circle touching all three sides; measure and record the radius
- Use IT devices to create patterns using circles touching sides of polygons

How do we construct a circle touching the three sides of a triangle?

Smart Minds Mathematics Grade 8 pg. 193
- Pair of compasses, ruler, protractor
- Digital resources
Smart Minds Mathematics Grade 8 pg. 190
- Digital resources (videos)

- Written assignments - Oral questions

Geometry

Geometrical Constructions - Review and application
Coordinates and Graphs - Drawing and labelling a Cartesian plane
Coordinates and Graphs - Identifying and plotting points on the Cartesian plane

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

- Apply construction skills to solve problems involving parallel lines, perpendicular lines, polygons and circles
- Select appropriate construction tools and methods for a given task
- Admire geometric patterns in objects and substances in real life

In groups, learners are guided to:
- Solve mixed construction problems involving parallel lines, perpendicular bisectors, proportional division, regular and irregular polygons, and circles
- Discuss where geometric constructions appear in architecture, art, nature and design
- Use IT construction software to verify constructions and create geometric patterns

How do we use geometric constructions in real-life situations?

Smart Minds Mathematics Grade 8 pg. 148
- Pair of compasses, ruler, protractor
- Digital resources
Smart Minds Mathematics Grade 8 pg. 198
- Graph books/grid paper
- Ruler
Smart Minds Mathematics Grade 8 pg. 199

- Written tests - Observation - Oral questions

Geometry

Coordinates and Graphs - Table of values for linear equations
Coordinates and Graphs - Determining appropriate scale for linear graphs

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

- Generate a table of values for a given linear equation
- Calculate y values by substituting x values into a linear equation
- Show accuracy when constructing tables of values

In groups, learners are guided to:
- Substitute selected x values into a linear equation to find corresponding y values
- Record results in a table of values
- Generate tables of values for equations such as x + y = 6, 2x + y = 8, y = 2x + 3
- Discuss patterns observed in the table of values

How do we generate a table of values for a linear equation?

Smart Minds Mathematics Grade 8 pg. 203
- Graph books/grid paper
- Calculators
- Digital resources
Smart Minds Mathematics Grade 8 pg. 204
- Ruler

- Written assignments - Oral questions

Geometry

Coordinates and Graphs - Drawing linear graphs on a Cartesian plane
Coordinates and Graphs - Drawing linear graphs (practice)

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

- Draw a linear graph on a Cartesian plane from a table of values
- Recognise that a linear equation produces a straight-line graph
- Use IT graphing tools to draw and verify linear graphs

In groups, learners are guided to:
- Set up an appropriate scale on the Cartesian plane
- Plot points from the table of values and join them with a straight line
- Draw linear graphs for equations: x+y=6, 2x+y=8, y=2x+3, 3x+y=9
- Use IT graphing tools to draw and compare linear graphs

Where do we use linear graphs in real life?

Smart Minds Mathematics Grade 8 pg. 205
- Graph books/grid paper
- Ruler
- Digital resources

- Written assignments - Oral questions

Geometry

Coordinates and Graphs - Solving simultaneous linear equations graphically
Coordinates and Graphs - Simultaneous equations graphically (application)

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

- Draw two linear graphs on the same Cartesian plane
- Identify the point of intersection as the solution to simultaneous equations
- Apply graphical solutions to real-life problems

In groups, learners are guided to:
- Draw tables of values for two simultaneous equations
- Plot both graphs on the same Cartesian plane using the same scale
- Identify point of intersection P; read coordinates as the solution (x, y)
- Verify solution by substituting back into both original equations

How do we solve simultaneous equations graphically?

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

- Written assignments - Oral questions

Geometry

Coordinates and Graphs - Review and consolidation
Scale Drawing - Representing length to a given scale

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

- Apply skills of plotting, drawing linear graphs and solving simultaneous equations graphically
- Connect graphical solutions to algebraic solutions
- Use IT or other resources to further explore graphs

In groups, learners are guided to:
- Solve mixed problems: plot points, draw linear graphs, solve simultaneous equations graphically
- Compare graphical and algebraic solutions to simultaneous equations; discuss accuracy
- Use IT graphing tools to explore further examples and verify results

How do we use linear graphs in real life?

Smart Minds Mathematics Grade 8 pg. 198
- Graph books/grid paper
- Calculators
- Digital resources
Smart Minds Mathematics Grade 8 pg. 211
- Tape measure / metre rule
- Ruler

- Written tests - 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
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:

- 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)
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 - Oral questions

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
Common Solids - Surface area of cubes and cuboids from nets

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

- Written assignments - Observation

Geometry

Common Solids - Surface area of cylinders and triangular prisms from nets
Common Solids - Surface area of pyramids and cones from nets

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

- Use nets to calculate the surface area of closed and open cylinders
- Use nets to calculate the surface area of triangular prisms
- Show accuracy in calculating surface area from nets

In groups, learners are guided to:
- Draw net of closed cylinder (2 circles + rectangle); calculate area of each part; find sum
- Surface area of closed cylinder = 2πr² + πdh; open cylinder = πr² + πdh
- Draw net of triangular prism (2 triangles + 3 rectangles); calculate area of each face and sum
- Solve real-life problems: cylindrical tins, metallic rods, wedge-shaped objects

How do we find the surface area of cylinders and prisms from their nets?

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

- Written assignments - Oral questions

Geometry

Common Solids - Distance between two points on the surface of a solid
Common Solids - Distance between two points (continued)

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

- Open a solid into its net to find the shortest path between two points on its surface
- Apply Pythagoras' theorem to calculate the distance between two points on the surface of a solid
- Show critical thinking when finding surface distances on solids

In groups, learners are guided to:
- Make a model of a cuboid from card; mark two points; open net and use a ruler to measure shortest distance
- Identify the right-angled triangle formed on the net; apply a² + b² = c² to find the distance
- Solve problems involving cubes and cuboids: find distance between two vertices through given faces
- Work through examples: cube of side 4 cm; triangular prism

How do we find the shortest distance between two points on the surface of a solid?

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

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 - Review and application
Scale Drawing - Converting linear scales (practice)

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

- Apply all Cartesian plane and graph skills to varied problems
- Connect plotting, linear graphs and simultaneous equations as an integrated topic
- Use IT tools to further explore coordinates and graphs

In groups, learners are guided to:
- Solve mixed problems: identify coordinates of points, generate tables of values, draw linear graphs, solve simultaneous equations graphically
- Discuss real-life uses: reading maps, interpreting distance-time graphs, solving business cost problems
- Use IT graphing tools to create and explore linear graphs interactively

How do we use linear graphs in real life?

Smart Minds Mathematics Grade 8 pg. 198
- Graph books/grid paper
- Digital resources
Smart Minds Mathematics Grade 8 pg. 224
- Ruler, calculators
- Digital resources (map scale calculator)

- Written tests - Oral questions - Observation

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)
Common Solids - Ethnomath project and final review

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
Smart Minds Mathematics Grade 8 pg. 259
- Clay/plasticine
- Reference books

- Written tests - Oral questions

Geometry
Data Handling and Probability

Common Solids - Nets and surface area (consolidation)
Common Solids - Making compact solid models
Data Presentation and Interpretation - Drawing bar graphs

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

- Draw nets of mixed solid types from memory
- Use nets to calculate surface area for a variety of solids
- Show creativity when drawing and using nets

In groups, learners are guided to:
- Draw nets of cube, cuboid, cylinder, cone and pyramid from memory without reference
- Calculate surface area of each using the drawn net
- Peer-assess each other's nets for correctness and completeness
- Use IT to trace or draw nets of solids interactively

How do nets help us understand and calculate the surface area of solids?

Smart Minds Mathematics Grade 8 pg. 234
- Graph books/squared paper
- Ruler, calculators
- Digital resources
Smart Minds Mathematics Grade 8 pg. 259
- Clay/plasticine
- Ruler
Smart Minds Mathematics Grade 8 pg. 261
- Graph books/grid paper, ruler
- Collected class data

- Written assignments - Oral questions

Data Handling and Probability

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

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

- Draw bar graphs for varied real-life data sets using appropriate scales
- Compare data by comparing bar heights in a bar graph
- Use IT tools to create bar graphs to represent data

In groups, learners are guided to:
- Draw bar graphs for given data: number of vaccinated children per day, maize production per year, shoe sizes in class
- Practice choosing different scales and discuss how scale choice affects the appearance of the graph
- Use IT tools (spreadsheet software) to create bar graphs and compare with hand-drawn graphs

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

Smart Minds Mathematics Grade 8 pg. 261
- Graph books/grid paper, ruler
- Calculators
- Digital resources
Smart Minds Mathematics Grade 8 pg. 264
- Printed bar graph charts
- Newspapers/reports
Smart Minds Mathematics Grade 8 pg. 269
Smart Minds Mathematics Grade 8 pg. 273
- Printed line graph charts

- Written assignments - Oral questions

Data Handling and Probability

Data Presentation and Interpretation - Interpreting line graphs (continued)
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:

- Solve multi-step problems from line graphs including total sales comparisons
- Draw and interpret line graphs for real-life data from the environment
- Recognise use of line graphs in science, business and everyday life

In groups, learners are guided to:
- Solve problems from given line graphs: total distance in a journey, how much more was sold in first half vs second half of a year
- Collect environmental data (rainfall records, temperature over days) and represent on a line graph
- Discuss: line graphs are used in weather stations, hospitals (patient monitoring), businesses (sales trends)
- Use IT to display and explore line graphs from online datasets

How are line graphs used in real-life contexts such as science and business?

Smart Minds Mathematics Grade 8 pg. 273
- Graph books/grid paper, ruler
- Calculators
- Digital resources
Smart Minds Mathematics Grade 8 pg. 278
- Fruit cards/tally charts
Smart Minds Mathematics Grade 8 pg. 280
- Reference books
Smart Minds Mathematics Grade 8 pg. 283

- Written tests - Oral questions

Data Handling and Probability

Data Presentation and Interpretation - Review and application
Probability - Identifying events involving chance

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
Smart Minds Mathematics Grade 8 pg. 285
- Chance word cards
- Coins, dice

- Written tests - Oral questions - Observation

Data Handling and Probability

Probability - Chance experiments
Probability - Experimental probability

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

- Perform chance experiments involving spinning a colour wheel, flipping a coin and tossing a die
- Predict outcomes and compare predictions with actual results
- Show interest in chance experiments and their outcomes

In groups, learners are guided to:
- Make a colour wheel with equal and unequal colour sections; spin and record colour obtained each time
- Discuss: colour with largest section has highest likelihood of occurring
- Flip a coin multiple times; record heads and tails using a tally chart; compare results with prediction
- Toss a die; record each outcome; observe that each face has an equal chance of appearing
- Draw coloured balls from a bag one at a time; identify which colour is most/least likely

How do we carry out chance experiments?

Smart Minds Mathematics Grade 8 pg. 287
- Colour wheels, coins, dice
- Coloured balls in a bag
- Digital resources
Smart Minds Mathematics Grade 8 pg. 290
- Calculators

- Oral questions - Observation - Written assignments

Data Handling and Probability

Probability - Expressing experimental probability as fractions
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 outcomes as fractions in their simplest form
- Find unknown probability outcomes given the probability of the complementary event
- Show confidence when working with probability fractions

In groups, learners are guided to:
- Express experimental probabilities from coin flipping, die tossing and ball drawing as fractions in simplest form
- Use the relationship: P(tail) = 1 − P(head) to find complementary probabilities
- Calculate probability from real-life data: days of rainfall per month, defective bottles from a sample, injured players in a school team
- Solve problems: given P(head) = 0.3 = 3/10, find P(tail) as a fraction

How do we express experimental probability as a fraction?

Smart Minds Mathematics Grade 8 pg. 293
- Coins, dice, coloured balls
- Calculators
- Digital resources
Smart Minds Mathematics Grade 8 pg. 294
- Dice, coins
Smart Minds Mathematics Grade 8 pg. 290
- Coins, dice
Smart Minds Mathematics Grade 8 pg. 285

- Written assignments - Oral questions