GEOMETRY

Angles - Angles on a straight line

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

- Identify angles on a straight line.
- Calculate unknown angles on a straight line.
- Appreciate that angles on a straight line add up to 180°.

In groups and individually, learners are guided to:
- Draw straight lines with angles.
- Measure angles on a straight line.
- Verify that angles on a straight line sum to 180°.
- Solve problems involving angles on a straight line.

What are angles on a straight line?

- Top Scholar Mathematics Grade 7 page 175.
- Protractors.
- Rulers.
- Angle models.

- Written exercise. - Oral questions. - Class activities. - Practical assessment.

GEOMETRY

Angles - Angles at a point
Angles - Angles on a transversal

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

- Identify angles at a point.
- Calculate unknown angles at a point.
- Show interest in angle relationships.

In groups and individually, learners are guided to:
- Draw intersecting lines to form angles at a point.
- Measure angles at a point.
- Verify that angles at a point sum to 360°.
- Solve problems involving angles at a point.

What are angles at a point?

- Top Scholar Mathematics Grade 7 page 177.
- Protractors.
- Rulers.
- Angle models.
- Top Scholar Mathematics Grade 7 page 178.
- Parallel line models.

- Written exercise. - Oral questions. - Class activities. - Practical assessment.

GEOMETRY

Angles - Angles in a parallelogram
Angles - Angle properties of polygons

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

- Identify angle properties of parallelograms.
- Calculate unknown angles in parallelograms.
- Show interest in properties of quadrilaterals.

In groups and individually, learners are guided to:
- Draw parallelograms using rulers and set squares.
- Measure angles in parallelograms.
- Verify that opposite angles are equal.
- Solve problems involving angles in parallelograms.

What are the angle properties of a parallelogram?

- Top Scholar Mathematics Grade 7 page 181.
- Protractors.
- Rulers.
- Set squares.
- Parallelogram models.
- Top Scholar Mathematics Grade 7 page 183.
- Polygon models.
- Grid paper.

- Written exercise. - Oral questions. - Class activities. - Practical assessment.

GEOMETRY

Angles - Interior angles of polygons
Angles - Exterior angles of polygons

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

- Calculate interior angles of regular polygons.
- Apply the formula for interior angles of regular polygons.
- Show interest in the properties of regular polygons.

In groups and individually, learners are guided to:
- Draw regular polygons.
- Calculate interior angles using the formula.
- Verify results by measurement.
- Solve problems involving interior angles of regular polygons.

What makes a polygon regular?

- Top Scholar Mathematics Grade 7 page 185.
- Protractors.
- Rulers.
- Regular polygon models.
- Grid paper.
- Top Scholar Mathematics Grade 7 page 187.
- Polygon models.

- Written exercise. - Oral questions. - Class activities. - Practical assessment.

GEOMETRY

Angles - Solving problems on angles and sides of polygons
Geometrical Constructions - Measuring angles

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

- Solve problems involving angles and sides of polygons.
- Apply angle relationships in problem-solving.
- Show interest in geometric problem-solving.

In groups and individually, learners are guided to:
- Solve problems involving interior and exterior angles.
- Apply angle relationships to find unknown angles.
- Create and solve their own angle problems.
- Discuss real-life applications of angle properties.

How do we solve problems involving polygon angles?

- Top Scholar Mathematics Grade 7 page 189.
- Protractors.
- Rulers.
- Polygon models.
- Problem cards.
- Top Scholar Mathematics Grade 7 page 190.
- Angle models.
- Grid paper.

- Written exercise. - Oral questions. - Class activities. - Project work.

GEOMETRY

Geometrical Constructions - Bisecting angles
Geometrical Constructions - Construction of 90°

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

- Bisect angles using a ruler and pair of compasses.
- Verify the accuracy of angle bisection.
- Show interest in geometric constructions.

In groups and individually, learners are guided to:
- Draw angles of different sizes.
- Use ruler and compasses to bisect angles.
- Measure the resulting angles to verify bisection.
- Practice bisecting angles of different sizes.

How do we bisect an angle using a ruler and compasses?

- Top Scholar Mathematics Grade 7 page 192.
- Pair of compasses.
- Rulers.
- Protractors.
- Plain paper.
- Top Scholar Mathematics Grade 7 page 194.

- Written exercise. - Oral questions. - Class activities. - Practical assessment.

GEOMETRY

Geometrical Constructions - Construction of 45°
Geometrical Constructions - Construction of 60°

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

- Construct a 45° angle using ruler and compasses.
- Verify the accuracy of construction.
- Show interest in geometric constructions.

In groups and individually, learners are guided to:
- Construct a 90° angle first.
- Bisect the 90° angle to get 45°.
- Verify construction using protractors.
- Practice constructing 45° angles at different points.

How do we construct a 45° angle using ruler and compasses?

- Top Scholar Mathematics Grade 7 page 195.
- Pair of compasses.
- Rulers.
- Protractors.
- Plain paper.
- Top Scholar Mathematics Grade 7 page 196.

- Written exercise. - Oral questions. - Class activities. - Practical assessment.

GEOMETRY

Geometrical Constructions - Construction of 30° and other angles
Geometrical Constructions - Constructing triangles

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

- Construct a 30° angle using ruler and compasses.
- Construct other angles that are multiples of 7.5°.
- Develop confidence in geometric constructions.

In groups and individually, learners are guided to:
- Construct a 60° angle first.
- Bisect the 60° angle to get 30°.
- Construct other angles through bisection.
- Verify constructions using protractors.

How do we construct a 30° angle using ruler and compasses?

- Top Scholar Mathematics Grade 7 page 198.
- Pair of compasses.
- Rulers.
- Protractors.
- Plain paper.
- Top Scholar Mathematics Grade 7 page 199.

- Written exercise. - Oral questions. - Class activities. - Practical assessment.

GEOMETRY
Numbers

Geometrical Constructions - Constructing circles
Integers - Identifying integers

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

- Construct circles using a pair of compasses.
- Understand the relationship between radius and circle.
- Appreciate the precision of circle construction.

In groups and individually, learners are guided to:
- Mark center points for circles.
- Adjust compasses to required radius.
- Draw circles of different sizes.
- Verify the accuracy of construction.

How do we construct circles using compasses?

- Top Scholar Mathematics Grade 7 page 202.
- Pair of compasses.
- Rulers.
- Plain paper.
- Circular objects.
MENTOR Mathematics Learner's Book pg. 1
-Number lines
-Number cards

- Written exercise. - Oral questions. - Class activities. - Practical assessment.

Numbers

Integers - Representing integers on a number line
Integers - Addition of integers
Integers - Subtraction of integers

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

-Represent integers on a number line
-Show curiosity in representing integers

-Draw and represent integers on number lines on learning materials.
-Practice representing positive and negative integers on a number line.

How do we represent integers on a number line?

MENTOR Mathematics Learner's Book pg. 2-3
-Number lines
-Wood ash
MENTOR Mathematics Learner's Book pg. 4-5
-Red and blue counters
MENTOR Mathematics Learner's Book pg. 5-6
-Games

-Observation -Oral questions -Written tests

Numbers

Integers - Combined operations
Integers - Real life applications

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

-Carry out combined operations of integers on a number line
-Appreciate the use of number line in operations of integers

-Perform combined operations of addition and subtraction of integers on a number line.
-Apply the order of operations when solving combined operations.

How do we carry out combined operations of integers?

MENTOR Mathematics Learner's Book pg. 7-8
-Number cards
-Number lines
MENTOR Mathematics Learner's Book pg. 8-9
-Digital resources
-Internet

-Observation -Oral questions -Written assignments

Numbers

Fractions - Combined operations (Addition and subtraction)
Fractions - Combined operations (Multiplication and division)

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

-Carry out combined operations of addition and subtraction on fractions
-Show interest in learning about operations on fractions

-Discuss and use the correct order of operations in fractions.
-Practice combined operations of addition and subtraction on fractions.

How do we use fractions in real life situations?

MENTOR Mathematics Learner's Book pg. 15
-Fraction cards
-Practice cards
MENTOR Mathematics Learner's Book pg. 17-18

-Observation -Oral questions -Written assignments

Numbers

Fractions - Combined operations
Fractions - Operations in real life situations

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

-Carry out combined operations on fractions
-Show interest in working with fractions

-Discuss the procedure to follow when working out combined operations on fractions.
-Work out fractions involving all operations following the correct order.

How do we solve problems involving all operations on fractions?

MENTOR Mathematics Learner's Book pg. 19
-Practical cards
-Digital resources
MENTOR Mathematics Learner's Book pg. 20-22
-Charts
-Fraction boards

-Observation -Oral questions -Written tests

Numbers

Fractions - Digital applications
Fractions - Applications in various contexts

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

-Use IT devices for learning more on fractions
-Enjoy working with fractions using technology

-Play games of operations on fractions using IT devices or other resources.
-Solve fraction problems using digital tools.

How can we use digital tools to learn about fractions?

MENTOR Mathematics Learner's Book pg. 22
-Digital devices
-Internet resources
-Reference materials
-Picture charts

-Observation -Oral questions -Practical activities

Numbers

Decimals - Converting fractions to decimals
Decimals - Identifying recurring decimals

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

-Convert fractions to decimals in different situations
-Show interest in the relationship between fractions and decimals

-Practice converting fractions to decimals by division method.
-Practice converting fractions to decimals using equivalent fractions.

How do we convert fractions to decimals?

MENTOR Mathematics Learner's Book pg. 35
-Multiplication tables
-Place value charts
MENTOR Mathematics Learner's Book pg. 36-37
-Decimal cards
-Calculator

-Observation -Oral questions -Written assignments

Numbers

Decimals - Converting recurring decimals to fractions
Decimals - Rounding off decimals

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

-Convert recurring decimals into fractions in different situations
-Show curiosity in relating decimals to fractions

-Practice converting recurring decimals to fractions.
-Discuss methods of converting recurring decimals to fractions.

How do we convert recurring decimals to fractions?

MENTOR Mathematics Learner's Book pg. 37-38
-Multiplication tables
-Calculator
MENTOR Mathematics Learner's Book pg. 38-39
-Decimal cards

-Observation -Oral questions -Written assignments

Numbers

Decimals - Significant figures
Decimals - Standard form

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

-Express numbers to a required significant figure
-Value precision in representing numbers

-Write decimal and whole numbers to a given significant figures.
-Apply rules for determining significant figures.

When do we use significant figures?

MENTOR Mathematics Learner's Book pg. 39-40
-Place value charts
-Number cards
MENTOR Mathematics Learner's Book pg. 41-42
-Flash cards

-Observation -Oral questions -Written assignments

Numbers

Decimals - Combined operations on decimals
Decimals - Real life applications

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

-Carry out combined operations on decimals
-Show interest in solving decimal problems

-Work out combined operations on decimals in the correct order.
-Apply rules of order of operations to decimal calculations.

How do we work out operations on decimals?

MENTOR Mathematics Learner's Book pg. 42-43
-Decimal cards
-Calculator
MENTOR Mathematics Learner's Book pg. 43-44
-Price lists
-Measurement tools

-Observation -Oral questions -Written assignments

Numbers

Squares - Squares of numbers from tables
Squares - Squares of numbers greater than 10
Squares - Squares of numbers less than 1

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

-Work out the squares of numbers from tables
-Appreciate the use of tables in mathematical computations

-Read and write the squares of numbers from tables.
-Use table of squares to find squares of numbers between 1 and 10.

What are squares of numbers?

MENTOR Mathematics Learner's Book pg. 46-47
-Square tables
-Square cut-outs
MENTOR Mathematics Learner's Book pg. 47-48
-Calculator
MENTOR Mathematics Learner's Book pg. 48-49

-Observation -Oral questions -Written tests

Numbers

Squares - Using calculator for squares
Square Roots - Square roots from tables

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

-Work out squares of numbers using a calculator
-Appreciate the efficiency of using calculators for computation

-Practice working out squares using a calculator.
-Use calculator to find squares and verify results from tables.

How does a calculator simplify finding squares?

MENTOR Mathematics Learner's Book pg. 49
-Calculator
-Digital devices
MENTOR Mathematics Learner's Book pg. 50-51
-Square root tables

-Observation -Oral questions -Practical assessment

Numbers

Square Roots - Square roots of numbers greater than 10
Square Roots - Square roots of numbers less than 1

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

-Work out square roots of numbers greater than 10 using tables
-Show curiosity in exploring number patterns

-Use square root tables to find square roots of numbers greater than 10.
-Apply standard form to find square roots of large numbers.

How do we find square roots of large numbers?

MENTOR Mathematics Learner's Book pg. 52-53
-Square root tables
-Calculator
MENTOR Mathematics Learner's Book pg. 53-54

-Observation -Oral questions -Written tests

Numbers

Rates - Identifying rates
Rates - Working out rates

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

-Identify rates in different situations
-Appreciate the concept of rates in daily life

-Discuss the concept of rates and identify examples from daily life.
-Time different activities and calculate rates.

How do we use rates in real life situations?

MENTOR Mathematics Learner's Book pg. 55
-Rate cards
-Stopwatch
MENTOR Mathematics Learner's Book pg. 56-57
-Price lists

-Observation -Oral questions -Written tests

Numbers

Ratio - Expressing fractions as ratios
Ratio - Comparing ratios

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

-Express fractions as ratios
-Appreciate the relationship between fractions and ratios

-Use cut outs from whole objects or substances to relate fractions to ratios.
-Convert between fractions and ratios.

How do we use ratios in daily activities?

MENTOR Mathematics Learner's Book pg. 58
-Circular and rectangular cut outs
-Ratio cards
MENTOR Mathematics Learner's Book pg. 59-60
-Cut-outs

-Observation -Oral questions -Written tests

Numbers

Ratio - Dividing quantities in given ratios
Ratio - Increase and decrease using ratios

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

-Divide quantities in given ratios
-Value fairness in sharing quantities according to ratios

-Discuss and share quantities of concrete objects in different ratios.
-Practice dividing quantities in given ratios.

How do we divide quantities in given ratios?

MENTOR Mathematics Learner's Book pg. 60-62
-Bottle tops
-Counters
MENTOR Mathematics Learner's Book pg. 62-63
-Ratio cards
-Number cards

-Observation -Oral questions -Written tests

Numbers

Percentages - Percentage increase
Percentages - Percentage decrease

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

-Work out percentage increase of given quantities
-Show interest in calculating percentage changes

-Discuss and determine percentage increase of different quantities.
-Solve problems involving percentage increase.

How do we calculate percentage increase?

MENTOR Mathematics Learner's Book pg. 64
-Charts
-Digital resources
MENTOR Mathematics Learner's Book pg. 65

-Observation -Oral questions -Written tests

Numbers

Direct proportion
Direct proportion - Working out direct proportion

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

-Identify direct proportions in real life situations
-Appreciate direct proportional relationships

-Role play shopping activities to show and determine direct relationships.
-Identify examples of direct proportion from daily life.

What is direct proportion?

MENTOR Mathematics Learner's Book pg. 66
-Tables
-Charts
MENTOR Mathematics Learner's Book pg. 66-67
-Price lists

-Observation -Oral questions -Written tests

Numbers

Indirect proportion
Indirect proportion - Working out indirect proportion

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

-Identify indirect proportions in real life situations
-Appreciate indirect proportional relationships

-Use hourglass to show and determine indirect relationships.
-Identify examples of indirect proportion from daily life.

What is indirect proportion?

MENTOR Mathematics Learner's Book pg. 67
-Hourglass
-Charts
MENTOR Mathematics Learner's Book pg. 67-68
-Tables
-Digital resources

-Observation -Oral questions -Written tests

Numbers
Algebra

Ratios and proportions - Digital applications
Ratios and proportions - Real life applications
Algebraic Expressions - Factorizing algebraic expressions (1)

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

-Use IT devices to explore ratios and proportions
-Show interest in technology for mathematical learning

-Use IT devices or other materials to explore percentage change.
-Watch videos on ratios and proportions as used in daily activities.

How can we use technology to learn about ratios and proportions?

MENTOR Mathematics Learner's Book pg. 68
-Digital devices
-Videos
-Reference materials
-Picture charts
MENTOR Mathematics Learner's Book pg. 67
-Number cards
-Practice cards

-Observation -Oral questions -Digital activities

Algebra

Algebraic Expressions - Factorizing algebraic expressions (2)
Algebraic Expressions - Simplifying algebraic fractions (1)

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

-Factorize algebraic expressions by grouping terms in pairs
-Appreciate the different methods of factorizing expressions

-Group the terms in pairs to identify common factors
-Factorize each pair by identifying the common factor
-Identify the common factor from the factorized pairs to factorize the whole expression

How do we factorize algebraic expressions by grouping?

MENTOR Mathematics Learner's Book pg. 69-70
-Number cards
-Practice cards
MENTOR Mathematics Learner's Book pg. 71-72
-Fraction boards

-Observation -Oral questions -Written tests

Algebra

Algebraic Expressions - Simplifying algebraic fractions (2)
Algebraic Expressions - Evaluating algebraic expressions by substitution (1)

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

-Factorize the numerator and denominator in algebraic fractions
-Simplify algebraic fractions in their lowest form
-Show curiosity in working with algebraic fractions

-Factorize the numerators and denominators in algebraic expressions
-Identify common factors in both the numerator and denominator
-Simplify algebraic fractions to their lowest form

How do we simplify algebraic fractions by factorizing?

MENTOR Mathematics Learner's Book pg. 73-74
-Number cards
-Fraction boards
MENTOR Mathematics Learner's Book pg. 75-76
-Expression cards

-Observation -Oral questions -Written tests

Algebra

Algebraic Expressions - Evaluating algebraic expressions by substitution (2)
Linear Equations - Forming linear equations in two unknowns

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

-Evaluate algebraic expressions with multiple variables
-Apply substitution to real-life problems
-Appreciate the use of algebraic expressions in real life

-Practice substituting multiple values in algebraic expressions
-Solve problems involving area, perimeter and volume using substitution
-Apply algebraic expressions to real-life situations

How do we use algebraic expressions in real life situations?

MENTOR Mathematics Learner's Book pg. 77-78
-Expression cards
-Digital resources
MENTOR Mathematics Learner's Book pg. 79-80
-Beam balance
-Objects of different masses

-Observation -Oral questions -Written tests

Algebra

Linear Equations - Substitution method introduction
Linear Equations - Solving linear equations by substitution

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

-Express variables in terms of other variables in linear equations
-Prepare linear equations for solution by substitution
-Develop interest in solving linear equations

-Discuss and express one variable in terms of the other in linear equations
-Practice making one variable the subject of a formula
-Prepare different linear equations for solution by substitution

How do we solve linear equations in two unknowns by substitution?

MENTOR Mathematics Learner's Book pg. 81
-Number cards
-Linear equation cards
MENTOR Mathematics Learner's Book pg. 82-83
-Flash cards
-Practice cards

-Observation -Oral questions -Written tests

Algebra

Linear Equations - Elimination method introduction
Linear Equations - Solving linear equations by elimination

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

-Set up linear equations for solution by elimination
-Prepare linear equations by multiplying to get equal coefficients
-Value the elimination method in solving equations

-Discuss the concept of the elimination method
-Practice multiplying equations by suitable numbers to get equal coefficients
-Set up different linear equations for solution by elimination

How do we solve linear equations by elimination?

MENTOR Mathematics Learner's Book pg. 84
-Flash cards
-Linear equation cards
MENTOR Mathematics Learner's Book pg. 85-87
-Practice cards
-Digital resources

-Observation -Oral questions -Written tests

Algebra
Measurements

Linear Equations - Real life applications
Circles - Circumference of a circle

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

-Apply linear equations in two unknowns to real life situations
-Choose appropriate methods to solve real-life problems
-Recognize the value of linear equations in daily life

-Practice forming and solving simultaneous equations from real life cases using any method
-Solve problems involving cost, age, distance and other quantities
-Watch videos or use other materials involving linear equations in two unknowns

How do we apply linear equations to solve real-life problems?

MENTOR Mathematics Learner's Book pg. 87
-Digital devices
-Videos
MENTOR Mathematics Learner's Book pg. 88
-Rope
-Wooden pegs
-String
-Metre ruler

-Observation -Oral questions -Written tests -Projects

Measurements

Circles - Circumference of a circle in real life
Circles - Length of an arc

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

-Work out the circumference of a circle in real life situations
-Value the use of circumference in problem solving

-Collect different circular objects from the environment
-Work out the circumference of each object
-Solve real-life problems involving the circumference of a circle

How do we use the circumference of a circle in real life situations?

MENTOR Mathematics Learner's Book pg. 89
-Circular objects
-Ruler
-String
MENTOR Mathematics Learner's Book pg. 90-91
-Plain paper
-Pair of scissors

-Observation -Oral questions -Written tests

Measurements

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

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

-Calculate the length of an arc for different angles
-Value the use of arc length in problem solving

-Draw and cut out a circle of radius 4 cm
-Fold the circular cut out into four equal parts and cut along the fold lines
-Work out the length of the arc of the quarter circle
-Apply the formula for arc length based on the angle subtended at the center

How do we determine the length of an arc for different angles?

MENTOR Mathematics Learner's Book pg. 92-93
-Plain paper
-Pair of scissors
-Ruler
MENTOR Mathematics Learner's Book pg. 94-95

-Observation -Oral questions -Written tests

Measurements

Circles - Perimeter of a sector (continued)
Area - Area of a circle
Area - Area of a circle in real life

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

-Solve problems involving the perimeter of a sector
-Appreciate the use of sectors in real life situations

-Solve various problems involving sectors of different angles
-Apply the formula for perimeter of a sector in real-life contexts
-Discuss real-life examples of sectors

How do we apply knowledge of sectors to solve real-life problems?

MENTOR Mathematics Learner's Book pg. 96-98
-Calculators
-Charts
-Models of sectors
MENTOR Mathematics Learner's Book pg. 99
-Peg
-String
-Tape measure
-Wood ash
MENTOR Mathematics Learner's Book pg. 100-101
-Circular objects
-Calculator
-Measuring tools

-Observation -Oral questions -Written tests

Measurements

Area - Area of a sector
Area - Area of a sector (continued)

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

-Calculate the area of a sector of a circle
-Appreciate the relationship between angle and area of a sector

-Draw a circle of radius 7 cm on plain paper and divide it into two equal parts
-Find the area of the shaded part (semicircle)
-Draw another circle and divide it into 4 equal parts
-Find the area of one part (quarter circle)
-Derive the formula for area of a sector

How do we calculate the area of a sector?

MENTOR Mathematics Learner's Book pg. 102-103
-Ruler
-Plain paper
-Pair of compasses
MENTOR Mathematics Learner's Book pg. 104-105
-Calculator
-Digital resources
-Cut-outs of sectors

-Observation -Oral questions -Written assignments

Measurements

Area - Surface area of cubes
Area - Surface area of cuboids

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

-Work out the surface area of a cube
-Appreciate the 3D nature of a cube

-Discuss the properties of a cube
-Cut a cube along its edges to separate the faces
-Measure the sides of each face and calculate their areas
-Find the sum of the areas of all six faces
-Derive the formula for surface area of a cube

How do we determine the surface area of a cube?

MENTOR Mathematics Learner's Book pg. 106-107
-Closed cube
-Ruler
-Pair of scissors
MENTOR Mathematics Learner's Book pg. 108-109
-Closed cuboid

-Observation -Oral questions -Written assignments

Measurements

Area - Surface area of cylinders
Area - Surface area of cylinders (continued)

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

-Work out the surface area of a cylinder
-Show curiosity in exploring the surface of a cylinder

-Discuss the properties of a cylinder
-Cut a cylinder to separate the two circular parts and the curved surface
-Observe that the curved surface opens up into a rectangle
-Measure the dimensions of the rectangle and the circles
-Calculate the areas of the circular top, circular bottom and the curved surface
-Find the sum of all the areas

How do we determine the surface area of a cylinder?

MENTOR Mathematics Learner's Book pg. 110-111
-Closed cylinder
-Pair of scissors
-Ruler
MENTOR Mathematics Learner's Book pg. 112-113
-Cylindrical objects
-Calculator
-Measuring tools

-Observation -Oral questions -Written assignments

Measurements

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

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

-Determine the surface area of a triangular prism
-Show interest in exploring surface areas of prisms

-Examine a triangular prism and identify its faces
-Cut the triangular prism along its edges to separate the faces
-Measure the sides of the faces and calculate their areas
-Find the sum of the areas of all five faces
-Derive the formula for surface area of a triangular prism

How do we find the surface area of a triangular prism?

MENTOR Mathematics Learner's Book pg. 114-115
-Triangular prism
-Ruler
-Pair of scissors
MENTOR Mathematics Learner's Book pg. 116-118
-Square grid
-Leaf

-Observation -Oral questions -Written assignments

Measurements

Money - Interest and principal
Money - Simple interest

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

-Identify interest and principal in real life situations
-Value the importance of understanding financial terms

-Visit or invite resource persons from financial institutions
-Gather information about deposits (principal) and interest
-Discuss the terms principal and interest
-Analyze examples showing how interest is calculated on deposits

What is interest in money?

MENTOR Mathematics Learner's Book pg. 119-120
-Resource persons
-Financial documents
-Charts
MENTOR Mathematics Learner's Book pg. 121-122
-Calculator
-Digital devices

-Observation -Oral questions -Written assignments

Measurements

Money - Compound interest
Money - Appreciation

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

-Calculate compound interest per annum step by step
-Show interest in the growth of money through compound interest

-Search for the meaning of compound interest using digital devices or print resources
-Discuss the concept of compound interest as interest on principal plus previously earned interest
-Calculate compound interest step by step for different years
-Compare compound interest with simple interest

How does compound interest differ from simple interest?

MENTOR Mathematics Learner's Book pg. 123-125
-Calculator
-Digital devices
-Charts
MENTOR Mathematics Learner's Book pg. 126-127

-Observation -Oral questions -Written assignments

Measurements

Money - Depreciation
Money - Hire purchase

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

-Work out depreciation per annum step by step
-Show interest in the concept of depreciation in assets

-Discuss the concept of depreciation as decrease in value over time
-Calculate depreciation step by step for assets that decrease in value
-Use formula for depreciation based on percentage decrease
-Identify assets that typically depreciate in value

How do we calculate depreciation over time?

MENTOR Mathematics Learner's Book pg. 128-129
-Calculator
-Digital devices
-Charts
MENTOR Mathematics Learner's Book pg. 130-131
-Posters showing hire purchase terms

-Observation -Oral questions -Written assignments

Measurements

Money - Calculating hire purchase price
Money - Calculating deposits and installments
Money - Online financial tools
Money - Financial responsibility

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

-Calculate the total hire purchase price
-Work out the difference between cash price and hire purchase price
-Appreciate the importance of comparing payment options

-Calculate hire purchase price as sum of deposit and all installments
-Determine the difference between hire purchase price and cash price
-Solve problems involving hire purchase transactions
-Discuss the advantages and disadvantages of hire purchase

What are the advantages and disadvantages of hire purchase?

MENTOR Mathematics Learner's Book pg. 132-134
-Calculator
-Price lists
-Charts
MENTOR Mathematics Learner's Book pg. 135-137
-Digital devices
MENTOR Mathematics Learner's Book pg. 138
-Internet access
-Online calculators
-Budget templates
-Case studies

-Observation -Oral questions -Written assignments