GEOMETRY

Angles - Angle properties of polygons

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

- Identify angle properties of polygons up to hexagon.
- Calculate the sum of interior angles of polygons.
- Appreciate patterns in polygon angles.

In groups and individuals, learners are guided to:
- Draw different polygons up to hexagon.
- Measure interior angles and find their sum.
- Derive the formula for sum of interior angles.
- Solve problems involving polygon angles.

What are the angle properties of polygons?

- Top Scholar Mathematics Grade 7 page 183.
- Protractors.
- Rulers.
- 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

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.

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

GEOMETRY

Geometrical Constructions - Measuring angles

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

- Measure angles using a protractor.
- Draw angles of specified sizes.
- Appreciate the importance of accurate measurement.

In groups and individually, learners are guided to:
- Use protractors to measure angles.
- Draw angles of specified sizes.
- Verify measurements through comparison.
- Practice measuring angles in different orientations.

How do we measure angles accurately?

- Top Scholar Mathematics Grade 7 page 190.
- Protractors.
- Rulers.
- Angle models.
- Grid paper.

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

GEOMETRY

Geometrical Constructions - Bisecting angles

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.

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

GEOMETRY

Geometrical Constructions - Construction of 90°
Geometrical Constructions - Construction of 45°

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

- Construct a 90° angle using ruler and compasses.
- Verify the accuracy of construction.
- Develop confidence in geometric constructions.

In groups and individually, learners are guided to:
- Draw lines of suitable length.
- Use ruler and compasses to construct 90° angles.
- Verify construction using protractors.
- Practice constructing 90° angles at different points.

How do we construct a 90° angle using ruler and compasses?

- Top Scholar Mathematics Grade 7 page 194.
- Pair of compasses.
- Rulers.
- Protractors.
- Plain paper.
- Top Scholar Mathematics Grade 7 page 195.

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

GEOMETRY

Geometrical Constructions - Construction of 60°

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

- Construct a 60° angle using ruler and compasses.
- Verify the accuracy of construction.
- Appreciate the precision of geometric constructions.

In groups and individually, learners are guided to:
- Draw lines of suitable length.
- Use ruler and compasses to construct 60° angles.
- Verify construction using protractors.
- Practice constructing 60° angles at different points.

How do we construct a 60° angle using ruler and compasses?

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

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

GEOMETRY

Geometrical Constructions - Construction of 30° and other angles

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.

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

GEOMETRY

Geometrical Constructions - Constructing triangles
Geometrical Constructions - Constructing circles

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

- Construct triangles given different combinations of sides and angles.
- Verify the accuracy of constructions.
- Show interest in triangle constructions.

In groups and individually, learners are guided to:
- Construct triangles given three sides.
- Construct triangles given two sides and the included angle.
- Construct triangles given two angles and a side.
- Verify constructions by measurement.

How do we construct triangles using ruler and compasses?

- Top Scholar Mathematics Grade 7 page 199.
- Pair of compasses.
- Rulers.
- Protractors.
- Plain paper.
- Top Scholar Mathematics Grade 7 page 202.
- Circular objects.

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

Numbers

Integers - Identifying integers

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

-Identify integers in different situations
-Show interest in learning about integers

-Identify integers by carrying out activities involving positive and negative numbers and zero. For example, climbing up stairs (positive), going down stairs (negative).
-Stand at a point (the zero point) and count the number of steps moved either forward or backward.

Where do we use integers in real life situations?

MENTOR Mathematics Learner's Book pg. 1
-Number lines
-Number cards

-Observation -Oral questions -Written assignments

Numbers

Integers - Representing integers on a number line

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

-Observation -Oral questions -Written tests

Numbers

Integers - Addition of integers

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

-Add integers on a number line
-Appreciate the use of number line in addition of integers

-Perform addition operations of integers on a number line.
-Use counters to represent positive and negative integers and perform addition.

How do we add integers on a number line?

MENTOR Mathematics Learner's Book pg. 4-5
-Red and blue counters
-Number lines

-Observation -Oral questions -Written assignments

Numbers

Integers - Subtraction of integers
Integers - Combined operations

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

-Carry out subtraction of integers on a number line
-Develop interest in solving problems involving subtraction of integers

-Perform subtraction operations of integers on a number line.
-Play creative games that involve number lines, for example jumping steps.

How do we subtract integers on a number line?

MENTOR Mathematics Learner's Book pg. 5-6
-Number lines
-Games
MENTOR Mathematics Learner's Book pg. 7-8
-Number cards

-Observation -Oral questions -Written tests

Numbers

Integers - Real life applications

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

-Apply operations of integers in real life situations
-Appreciate the use of integers in daily life

-Discuss real-life applications of integers such as temperature, altitude, profit and loss.
-Use IT or other resources to learn more on operations of integers on number lines.

How do we apply integers in real life situations?

MENTOR Mathematics Learner's Book pg. 8-9
-Digital resources
-Internet

-Observation -Oral questions -Written tests

Numbers

Fractions - Combined operations (Addition and subtraction)

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

-Observation -Oral questions -Written assignments

Numbers

Fractions - Combined operations (Multiplication and division)

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

-Carry out combined operations of multiplication and division on fractions
-Appreciate the importance of fractions in daily life

-Discuss the order of operations in multiplication and division of fractions.
-Practice combined operations of multiplication and division on fractions.

How do we carry out combined operations of fractions?

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

-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

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

-Observation -Oral questions -Practical activities

Numbers

Fractions - Applications in various contexts

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

-Promote use of fractions in real life situations
-Appreciate the relevance of fractions in different fields

-Discuss various applications of fractions in fields like cooking, construction, and finance.
-Create and solve fraction problems related to daily activities.

How are fractions used in different professions?

MENTOR Mathematics Learner's Book pg. 22
-Reference materials
-Picture charts

-Observation -Oral questions -Projects

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

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

-Observation -Oral questions -Written assignments

Numbers

Decimals - Rounding off decimals

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

-Round off a decimal number to a required number of decimal places
-Appreciate the importance of rounding decimals in daily life

-Discuss and round off decimal numbers to a required number of decimal places.
-Apply rounding rules to decimal numbers.

Why do we need to round off decimal numbers?

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

-Observation -Oral questions -Written tests

Numbers

Decimals - Significant figures

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

-Observation -Oral questions -Written assignments

Numbers

Decimals - Standard form
Decimals - Combined operations on decimals

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

-Express numbers in standard form
-Show interest in different representations of numbers

-Write numbers in standard form in learning materials such as cards or charts.
-Convert between standard form and ordinary numbers.

How do we express numbers in standard form?

MENTOR Mathematics Learner's Book pg. 41-42
-Flash cards
-Number cards
MENTOR Mathematics Learner's Book pg. 42-43
-Decimal cards
-Calculator

-Observation -Oral questions -Written tests

Numbers

Decimals - Real life applications

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

-Apply decimals to real life situations
-Value the use of decimals in solving practical problems

-Discuss and apply decimals to real life cases.
-Solve word problems involving decimals.

How do we use decimals in real life situations?

MENTOR Mathematics Learner's Book pg. 43-44
-Price lists
-Measurement tools

-Observation -Oral questions -Written assignments

Numbers

Squares - Squares of numbers from tables

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

-Observation -Oral questions -Written tests

Numbers

Squares - Squares of numbers greater than 10

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

-Work out squares of numbers greater than 10 using tables
-Show interest in finding patterns in number squares

-Use standard form and table of squares to find squares of numbers greater than 10.
-Practice finding squares of large numbers.

How do we find squares of large numbers?

MENTOR Mathematics Learner's Book pg. 47-48
-Square tables
-Calculator

-Observation -Oral questions -Written assignments

Numbers

Squares - Squares of numbers less than 1
Squares - Using calculator for squares

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

-Work out squares of numbers less than 1 using tables
-Develop confidence in working with decimal squares

-Express numbers less than 1 in standard form and use table of squares.
-Practice finding squares of decimal numbers.

Where do we apply squares in real life situations?

MENTOR Mathematics Learner's Book pg. 48-49
-Square tables
-Calculator
MENTOR Mathematics Learner's Book pg. 49
-Digital devices

-Observation -Oral questions -Written tests

Numbers

Square Roots - Square roots from tables

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

-Work out the square roots of numbers from tables
-Show interest in the relationship between squares and square roots

-Read and write the square roots of numbers from tables.
-Use square root tables to find square roots of numbers between 1 and 10.

What are square roots of numbers?

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

-Observation -Oral questions -Written assignments

Numbers

Square Roots - Square roots of numbers greater than 10

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

-Observation -Oral questions -Written tests

Numbers

Square Roots - Square roots of numbers less than 1
Rates - Identifying rates

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

-Work out square roots of numbers less than 1 using tables
-Appreciate the relationship between decimals and their square roots

-Express numbers less than 1 in standard form and use square root tables.
-Practice finding square roots of decimal numbers.

Where do we apply square roots in real life situations?

MENTOR Mathematics Learner's Book pg. 53-54
-Square root tables
-Calculator
MENTOR Mathematics Learner's Book pg. 55
-Rate cards
-Stopwatch

-Observation -Oral questions -Written assignments

Numbers

Rates - Working out rates

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

-Work out rates in real life situations
-Show interest in applying rates to solve problems

-Calculate rates for different activities and scenarios.
-Role play activities involving rates.

How do we calculate rates?

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

-Observation -Oral questions -Written assignments

Numbers

Ratio - Expressing fractions as 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

-Observation -Oral questions -Written tests

Numbers

Ratio - Comparing ratios

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

-Compare two or more ratios
-Show interest in equivalent ratios

-Discuss and compare ratios from the cut outs.
-Identify which ratio is greater or smaller.

How do we compare ratios?

MENTOR Mathematics Learner's Book pg. 59-60
-Ratio cards
-Cut-outs

-Observation -Oral questions -Written assignments

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

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

-Observation -Oral questions -Written tests

Numbers

Percentages - Percentage decrease

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

-Work out percentage decrease of given quantities
-Value the use of percentages in expressing changes

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

How do we calculate percentage decrease?

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

-Observation -Oral questions -Written assignments

Numbers

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

-Observation -Oral questions -Written tests

Numbers

Direct proportion - Working out direct proportion
Indirect proportion

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

-Work out direct proportions in real life situations
-Show interest in applying direct proportion to solve problems

-Solve problems involving direct proportion.
-Apply the concept of direct proportion to real-life scenarios.

How do we calculate quantities in direct proportion?

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

-Observation -Oral questions -Written assignments

Numbers

Indirect proportion - Working out indirect proportion

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

-Work out indirect proportions in real life situations
-Value the application of indirect proportion in solving problems

-Solve problems involving indirect proportion.
-Apply the concept of indirect proportion to real-life scenarios.

How do we calculate quantities in indirect proportion?

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

-Observation -Oral questions -Written assignments

Numbers

Ratios and proportions - Digital applications

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

-Observation -Oral questions -Digital activities

Numbers
Algebra

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

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

-Promote use of ratios and proportions in real life
-Appreciate the relevance of ratios and proportions in various fields

-Discuss applications of ratios and proportions in various fields like cooking, construction, and finance.
-Create and solve problems involving ratios and proportions related to daily activities.

How are ratios and proportions used in different professions?

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

-Observation -Oral questions -Projects

Algebra

Algebraic Expressions - Factorizing algebraic expressions (2)

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

-Observation -Oral questions -Written tests

Algebra

Algebraic Expressions - Simplifying algebraic fractions (1)

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

-Find the LCM of denominators in algebraic fractions
-Simplify algebraic fractions with different denominators
-Show interest in simplifying algebraic fractions

-Work out the LCM of denominators in algebraic fractions
-Practice simplifying algebraic fractions by using the LCM of denominators
-Express algebraic fractions as a single fraction

How do we simplify algebraic fractions?

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

-Observation -Oral questions -Written assignments

Algebra

Algebraic Expressions - Simplifying algebraic fractions (2)

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

-Observation -Oral questions -Written tests

Algebra

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

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

-Substitute numerical values in algebraic expressions
-Evaluate algebraic expressions with one variable
-Value the use of substitution in solving problems

-Discuss how to substitute given numerical values to work out algebraic expressions
-Practice substituting values in different algebraic expressions
-Evaluate expressions by replacing variables with given values

How do we evaluate algebraic expressions?

MENTOR Mathematics Learner's Book pg. 75-76
-Number cards
-Expression cards
MENTOR Mathematics Learner's Book pg. 77-78
-Digital resources

-Observation -Oral questions -Written assignments

Algebra

Linear Equations - Forming linear equations in two unknowns

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

-Form linear equations in two unknowns
-Interpret real-life problems into linear equations
-Show interest in linear equations

-Role-play activities such as shopping on two different items to form linear equations in two unknowns
-Discuss with others and use other activities with two unknowns
-Practice forming linear equations from different real-life situations

How do we form linear equations in two unknowns?

MENTOR Mathematics Learner's Book pg. 79-80
-Beam balance
-Objects of different masses

-Observation -Oral questions -Written assignments

Algebra

Linear Equations - Substitution method introduction

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

-Observation -Oral questions -Written tests

Algebra

Linear Equations - Solving linear equations by substitution

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

-Solve linear equations in two unknowns using substitution method
-Apply the substitution method to solve problems
-Show curiosity in solving equations by substitution

-Discuss and use substitution method to find the solutions of simultaneous equations in two unknowns
-Solve real-life problems using the substitution method
-Practice solving various simultaneous equations using substitution

What situations require the use of simultaneous equations?

MENTOR Mathematics Learner's Book pg. 82-83
-Flash cards
-Practice cards

-Observation -Oral questions -Written assignments

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

Linear Equations - Real life applications

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

-Observation -Oral questions -Written tests -Projects

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
-Show interest in finding the circumference of circular objects

-Fix wooden pegs at each end of a rope
-Fix one peg at a point on the ground and use the other end to draw a circle
-Lay a string round the circle drawn and measure the length of the string used
-Discuss and work out the circumference of a circle using the formula C = πd

How do we determine the circumference of a circle?

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

-Observation -Oral questions -Written assignments

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)

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

-Observation -Oral questions -Written tests

Measurements

Circles - Perimeter of a sector

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

-Calculate the perimeter of a sector of a circle
-Show interest in relating the perimeter of a sector to its parts

-Draw and cut out a circle of radius 5 cm
-Fold the circular cut out into four equal parts and cut along the fold lines
-Work out the perimeter of the quarter circle
-Define a sector as a region bound by two radii and an arc
-Calculate the perimeter as the sum of the arc length and the two radii

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

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

-Observation -Oral questions -Written assignments

Measurements

Circles - Perimeter of a sector (continued)

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

-Observation -Oral questions -Written tests

Measurements

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:

-Calculate the area of a circle
-Show interest in finding the area of circles

-Go to the field and use a peg, string, tape measure and wood ash to draw circles of different radii
-Work out the area of each circle using the formula A = πr²
-Compare the areas of circles of different radii

How do we use area in real life situations?

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 assignments

Measurements

Area - Area of a sector

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

-Observation -Oral questions -Written assignments

Measurements

Area - Area of a sector (continued)

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

-Solve problems involving area of sectors
-Show interest in applying sector area in different contexts

-Apply the formula for area of a sector to solve various problems
-Work out areas of sectors with different angles
-Relate the angle subtended by the sector to the area of the whole circle

How do we apply the area of a sector to solve problems?

MENTOR Mathematics Learner's Book pg. 104-105
-Calculator
-Digital resources
-Cut-outs of sectors

-Observation -Oral questions -Written tests