Numbers

Integers - Identification of integers
Integers - Representation of integers on number line
Integers - Addition of integers on number line
Integers - Subtraction of integers on number line
Integers - Combined operations on number line
Integers - Application of integers using IT resources
Fractions - Order of operations in fractions
Fractions - Operations on fractions from shopping activities
Fractions - Word problems involving fractions
Fractions - Games and IT activities on fractions
Fractions - Mixed practice on combined operations
Fractions - Application and reflection

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

- Define integers and distinguish them from non-integers
- Identify positive integers, negative integers and zero in different situations
- Appreciate the use of integers in daily life situations

- Discuss and find readings of thermometers showing positive and negative values
- Classify numbers as integers or non-integers
- Use real-life situations like floors above and below ground to represent integers

How do we identify integers in real life situations?

- Master Mathematics Grade 8, pg. 1
- Thermometers
- Number cards
- Charts with integers
- Master Mathematics Grade 8, pg. 2
- Manila paper
- Rulers
- Markers
- Number lines
- Master Mathematics Grade 8, pg. 3
- Ground markings
- Chalk
- Counters
- Master Mathematics Grade 8, pg. 4
- Playground space
- Master Mathematics Grade 8, pg. 5
- Temperature gauges
- Real-life problem cards
- Master Mathematics Grade 8, pg. 6
- Digital devices
- Internet access
- Integer games/apps
- Master Mathematics Grade 8, pg. 8
- Fraction cards
- Calculators
- Charts showing BODMAS
- Master Mathematics Grade 8, pg. 9
- Shopping lists
- Price tags
- Play money
- Fraction pieces
- Master Mathematics Grade 8, pg. 10
- Word problem cards
- Fraction charts
- Measuring tools
- Master Mathematics Grade 8, pg. 11
- Tablets/computers
- Fraction games
- Master Mathematics Grade 8, pg. 12
- Exercise books
- Fraction worksheets
- Group work materials
- Master Mathematics Grade 8, pg. 13
- Portfolio materials
- Reflection journals

- Observation - Oral questions - Written exercises

Numbers

Decimals - Conversion of fractions to decimals
Decimals - Identifying and converting recurring decimals
Decimals - Rounding off decimals to decimal places
Decimals - Expressing numbers in significant figures
Decimals - Expressing numbers in standard form
Decimals - Combined operations on decimals
Decimals - Application of decimals to real life
Decimals - Games and digital activities
Squares and Square Roots - Reading squares from tables
Squares and Square Roots - Squares of large numbers
Squares and Square Roots - Squares of numbers less than 1
Squares and Square Roots - Reading square roots from tables
Squares and Square Roots - Square roots of large numbers
Squares and Square Roots - Using calculators for squares and square roots
Rates, Ratio, Proportions and Percentages - Identifying rates
Rates, Ratio, Proportions and Percentages - Working out rates

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

- Explain the relationship between fractions and decimals
- Convert fractions to decimals using different methods
- Appreciate the connection between fractions and decimals

- Practice converting fractions to decimals using equivalent fractions with denominators as powers of 10
- Use long division method to convert fractions
- Complete conversion tables

How do we convert fractions to decimals?

- Master Mathematics Grade 8, pg. 13
- Conversion charts
- Calculators
- Place value charts
- Master Mathematics Grade 8, pg. 15
- Decimal cards
- Number cards
- Master Mathematics Grade 8, pg. 19
- Decimal number cards
- Rounding worksheets
- Master Mathematics Grade 8, pg. 21
- Number charts
- Worksheets
- Scientific calculators
- Master Mathematics Grade 8, pg. 23
- Standard form cards
- Charts
- Master Mathematics Grade 8, pg. 24
- Operation cards
- Master Mathematics Grade 8, pg. 26
- Real-life problem cards
- Measuring instruments
- Price lists
- Master Mathematics Grade 8, pg. 27
- Digital devices
- Decimal games/apps
- Internet access
- Master Mathematics Grade 8, pg. 29
- Mathematical tables
- Master Mathematics Grade 8, pg. 33
- Standard form charts
- Master Mathematics Grade 8, pg. 35
- Master Mathematics Grade 8, pg. 37
- Square root charts
- Master Mathematics Grade 8, pg. 39
- Mathematical tables (Tables 1.4 & 1.5)
- Master Mathematics Grade 8, pg. 42
- Comparison worksheets
- Master Mathematics Grade 8, pg. 44
- Stopwatches
- Rate cards
- Mobile phones (for demonstration)
- Master Mathematics Grade 8, pg. 46
- Timers
- Measuring tools
- Rate worksheets

- Written exercises - Oral questions - Class activities

Numbers
Measurements
Measurements
Measurements
Measurements

Rates, Ratio, Proportions and Percentages - Expressing fractions as ratios
Rates, Ratio, Proportions and Percentages - Comparing ratios
Rates, Ratio, Proportions and Percentages - Division of quantities in ratios
Rates, Ratio, Proportions and Percentages - Working out ratios
Rates, Ratio, Proportions and Percentages - Increase and decrease using ratios
Rates, Ratio, Proportions and Percentages - Percentage increase
Rates, Ratio, Proportions and Percentages - Percentage decrease
Rates, Ratio, Proportions and Percentages - Identifying direct proportions
Rates, Ratio, Proportions and Percentages - Working out direct proportions
Rates, Ratio, Proportions and Percentages - Identifying indirect proportions
Rates, Ratio, Proportions and Percentages - Working out indirect proportions
Rates, Ratio, Proportions and Percentages - Application and reflection
Circles - Circumference of a circle
Circles - Finding circumference of circular objects
Circles - Length of an arc
Circles - Perimeter of a sector

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

- Explain how to convert fractions to ratios
- Express fractions as ratios in simplest form
- Value precision in ratio work

- Use cut outs from whole objects to relate fractions to ratios
- Practice writing fractions as numerator : denominator
- Simplify ratios to lowest terms

How do we express fractions as ratios?

- Master Mathematics Grade 8, pg. 48
- Cut-out materials
- Ratio cards
- Counters
- Master Mathematics Grade 8, pg. 50
- Comparison charts
- Calculators
- Master Mathematics Grade 8, pg. 51
- Bottle tops
- Sharing materials
- Master Mathematics Grade 8, pg. 53
- Data cards
- Real-life examples
- Worksheets
- Master Mathematics Grade 8, pg. 55
- Change scenario cards
- Master Mathematics Grade 8, pg. 57
- Percentage charts
- Problem cards
- Master Mathematics Grade 8, pg. 58
- Discount cards
- Price lists
- Master Mathematics Grade 8, pg. 59
- Proportion charts
- Digital devices
- Master Mathematics Grade 8, pg. 60
- Proportion tables
- Master Mathematics Grade 8, pg. 62
- Hourglass
- Containers
- Master Mathematics Grade 8, pg. 63
- Proportion worksheets
- Master Mathematics Grade 8, pg. 64
- Video resources
- Portfolio materials
- Master Mathematics Grade 8, pg. 81
- Strings
- Sticks
- Rulers
- Circular objects
- Master Mathematics Grade 8, pg. 82
- Bicycle wheels
- Clock models
- Measuring tape
- Master Mathematics Grade 8, pg. 84
- Cartons for clock
- Protractors
- Master Mathematics Grade 8, pg. 86
- Drawing instruments

- Written exercises - Practical work - Oral questions

Measurements

Circles - Application and use of IT resources
Area - Area of a circle
Area - Calculating areas of circles with different radii
Area - Area of a sector of a circle
Area - Surface area of cubes
Area - Surface area of cuboids
Area - Surface area of cylinders
Area - Closed and open cylinders
Area - Surface area of triangular prisms
Area - Applications of triangular prisms
Area - Area of irregular shapes using square grids
Area - Estimating areas of maps and other irregular shapes
Money - Interest and principal
Money - Calculating simple interest
Money - Applications of simple interest
Money - Compound interest calculation step by step
Money - Working out appreciation per annum

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

- Discuss various applications of circles in real life
- Use IT or other resources to explore use of sectors and arcs
- Promote use of circles in real life situations

- Solve problems involving merry-go-rounds, shot put areas
- Calculate perimeters of semicircular objects
- Use IT devices to explore circle applications
- Work on complex problems involving multiple circles

How do we use circles in real life situations?

- Master Mathematics Grade 8, pg. 87
- Digital devices
- Internet access
- Real-life scenario cards
- Master Mathematics Grade 8, pg. 88
- Plain paper
- Scissors
- Rulers
- Circular cut-outs
- Master Mathematics Grade 8, pg. 89
- Calculators
- Worksheets
- Problem cards
- Master Mathematics Grade 8, pg. 91
- Drawing instruments
- Protractors
- Paper for folding
- Master Mathematics Grade 8, pg. 92
- Cube models
- Measuring tape
- Master Mathematics Grade 8, pg. 94
- Cuboid objects
- Cartons
- Measuring instruments
- Master Mathematics Grade 8, pg. 97
- Cylindrical objects
- Paper cylinders
- Master Mathematics Grade 8, pg. 99
- Cylinder models
- Master Mathematics Grade 8, pg. 100
- Prism models
- Master Mathematics Grade 8, pg. 102
- Real-life problem cards
- Master Mathematics Grade 8, pg. 103
- Graph paper
- Square grids
- Leaves
- Pencils
- Master Mathematics Grade 8, pg. 105
- Maps
- Tracing paper
- Master Mathematics Grade 8, pg. 107
- Sample loan documents
- Financial scenario cards
- Master Mathematics Grade 8, pg. 109
- Formula charts
- Loan scenario cards
- Master Mathematics Grade 8, pg. 110
- Bank documents (samples)
- Master Mathematics Grade 8, pg. 112
- Step-by-step charts
- Comparison worksheets
- Master Mathematics Grade 8, pg. 115
- Appreciation scenario cards
- Charts

- Portfolio assessment - Presentations - Written assignments

Measurements
4.0: Geometry
4.0: Geometry
4.0: Geometry
4.0: Geometry
4.0: Geometry
4.0: Geometry
4.0: Geometry
4.0: Geometry
4.0: Geometry
4.0: Geometry
4.0: Geometry
4.0: Geometry
4.0: Geometry
4.0: Geometry
4.0: Geometry
4.0: Geometry
4.0: Geometry
4.0: Geometry
4.0: Geometry
4.0: Geometry
4.0: Geometry
4.0: Geometry
4.0: Geometry
4.0: Geometry
4.0: Geometry
4.0: Geometry

Money - Working out depreciation per annum
Money - Hire purchase
Money - Visiting financial institutions and using IT for shopping
4.1: Geometrical Constructions - Constructing parallel lines using ruler and compasses
4.1: Geometrical Constructions - Constructing parallel lines using set square and ruler
4.1: Geometrical Constructions - Constructing perpendicular bisector of a line
4.1: Geometrical Constructions - Constructing perpendicular from a point to a line using compasses
4.1: Geometrical Constructions - Constructing perpendicular using set square and ruler
4.1: Geometrical Constructions - Proportional division of a line
4.1: Geometrical Constructions - Sum of interior angles of polygons
4.1: Geometrical Constructions - Exterior angles of polygons
4.1: Geometrical Constructions - Constructing regular triangles
4.1: Geometrical Constructions - Constructing regular quadrilaterals (squares)
4.1: Geometrical Constructions - Constructing regular pentagons
4.1: Geometrical Constructions - Constructing regular hexagons and circles
4.2: Coordinates and Graphs - Drawing labelled Cartesian plane
4.2: Coordinates and Graphs - Drawing Cartesian plane with different scales
4.2: Coordinates and Graphs - Identifying points on Cartesian plane
4.2: Coordinates and Graphs - Plotting points on Cartesian plane
4.2: Coordinates and Graphs - Reading coordinates from graphs
4.2: Coordinates and Graphs - Generating table of values from linear equations
4.2: Coordinates and Graphs - Completing tables for linear equations
4.2: Coordinates and Graphs - Determining appropriate scale for graphs
4.2: Coordinates and Graphs - Drawing line graphs from tables
4.2: Coordinates and Graphs - Drawing graphs for various linear equations
4.2: Coordinates and Graphs - Introduction to simultaneous equations graphically
4.2: Coordinates and Graphs - Solving simultaneous linear equations graphically
4.2: Coordinates and Graphs - Practice solving simultaneous equations with different forms
4.2: Coordinates and Graphs - Applying simultaneous equations to real-life problems

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

- Define depreciation as loss in value of a commodity
- Calculate depreciation step by step up to three years
- Appreciate that depreciation helps in making purchasing decisions

- Discuss items that depreciate in value
- Calculate depreciation of vehicles and electronics
- Work through depreciation year by year
- Compare depreciation with appreciation

What is depreciation and how do we calculate it?

- Master Mathematics Grade 8, pg. 116
- Calculators
- Depreciation charts
- Real-life examples
- Master Mathematics Grade 8, pg. 117
- Hire purchase documents
- Price comparison charts
- Master Mathematics Grade 8, pg. 118
- Digital devices
- Internet access
- Financial institution brochures
- Guest speakers
- MASTER Mathematics Grade 8 Learner's Book pg. 119
- Ruler
- Pair of compasses
- Pencil
- Plain paper
- Set square
- Drawing paper
- Protractor
- Calculator
- Chart showing polygon properties
- MASTER Mathematics Grade 8 Learner's Book pg. 147
- Graph paper
- Digital resources
- Worksheet with points
- List of coordinates
- Graph paper with plotted points
- Practice worksheets
- Exercise book
- Data tables
- Set of equations
- Number cards
- Scientific calculator
- Real-life problem cards

- Written tests - Class activities - Problem-solving