Algebra

Algebraic Expressions - Factorizing algebraic expressions (1)

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

-Identify common factors in algebraic expressions
-Factorize algebraic expressions using the greatest common factor
-Show interest in factorizing algebraic expressions

-Discuss and identify the GCD of pairs of numbers
-Identify common factors in algebraic expressions
-Practice factorizing algebraic expressions by taking out the common factor

How do we factorize algebraic expressions?

MENTOR Mathematics Learner's Book pg. 67
-Number cards
-Practice cards

-Observation -Oral questions -Written assignments

Algebra

Algebraic Expressions - Factorizing algebraic expressions (1)

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

-Identify common factors in algebraic expressions
-Factorize algebraic expressions using the greatest common factor
-Show interest in factorizing algebraic expressions

-Discuss and identify the GCD of pairs of numbers
-Identify common factors in algebraic expressions
-Practice factorizing algebraic expressions by taking out the common factor

How do we factorize algebraic expressions?

MENTOR Mathematics Learner's Book pg. 67
-Number cards
-Practice cards

-Observation -Oral questions -Written assignments

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 (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)

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

-Observation -Oral questions -Written assignments

Algebra

Algebraic Expressions - Evaluating algebraic expressions by substitution (1)

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

-Observation -Oral questions -Written assignments

Algebra

Algebraic Expressions - Evaluating algebraic expressions by substitution (2)

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

-Observation -Oral questions -Written tests

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 - 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 - 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

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

-Observation -Oral questions -Written tests

Algebra

Linear Equations - Solving linear equations by elimination

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

-Solve linear equations in two unknowns using elimination method
-Apply elimination method to solve problems
-Appreciate the elegance of the elimination method

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

Where do we use linear equations in real life situations?

MENTOR Mathematics Learner's Book pg. 85-87
-Practice cards
-Digital resources

-Observation -Oral questions -Written assignments

Algebra

Linear Equations - Solving linear equations by elimination

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

-Solve linear equations in two unknowns using elimination method
-Apply elimination method to solve problems
-Appreciate the elegance of the elimination method

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

Where do we use linear equations in real life situations?

MENTOR Mathematics Learner's Book pg. 85-87
-Practice cards
-Digital resources

-Observation -Oral questions -Written assignments

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

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

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

-Observation -Oral questions -Written tests

Measurements

Circles - Circumference of a circle in real life

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

-Observation -Oral questions -Written tests

Measurements

Circles - Length of an arc

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

-Work out the length of an arc of a circle
-Show curiosity in relating arc length to the circumference

-Draw and cut out a circle of radius 3.5 cm
-Work out the circumference of the circular cut out
-Fold the circular cut out to form two equal parts and cut along the fold line
-Work out the length of the arc of the semicircle
-Relate the angle subtended by the arc to the circumference

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

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

-Observation -Oral questions -Written assignments

Measurements

Circles - Length of an arc

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

-Work out the length of an arc of a circle
-Show curiosity in relating arc length to the circumference

-Draw and cut out a circle of radius 3.5 cm
-Work out the circumference of the circular cut out
-Fold the circular cut out to form two equal parts and cut along the fold line
-Work out the length of the arc of the semicircle
-Relate the angle subtended by the arc to the circumference

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

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

-Observation -Oral questions -Written assignments

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

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

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

-Observation -Oral questions -Written assignments

Measurements

Area - Area of a circle

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

-Observation -Oral questions -Written assignments

Measurements

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 in real life situations
-Value the use of area of a circle in problem solving

-Solve real-life problems involving area of circles
-Calculate areas of circular objects in the environment
-Convert between different units when calculating areas

How do we apply the area of a circle in real life situations?

MENTOR Mathematics Learner's Book pg. 100-101
-Circular objects
-Calculator
-Measuring tools

-Observation -Oral questions -Written tests

Measurements

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 in real life situations
-Value the use of area of a circle in problem solving

-Solve real-life problems involving area of circles
-Calculate areas of circular objects in the environment
-Convert between different units when calculating areas

How do we apply the area of a circle in real life situations?

MENTOR Mathematics Learner's Book pg. 100-101
-Circular objects
-Calculator
-Measuring tools

-Observation -Oral questions -Written tests

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

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

Measurements

Area - Surface area of cubes

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

-Observation -Oral questions -Written assignments

Measurements

Area - Surface area of cuboids

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

-Work out the surface area of a cuboid
-Show interest in calculating surface areas of cuboids

-Discuss the properties of a cuboid
-Cut a cuboid along its edges to separate the faces
-Measure the length and width 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 cuboid

How do we find the surface area of a cuboid?

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

-Observation -Oral questions -Written tests

Measurements

Area - Surface area of cuboids

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

-Work out the surface area of a cuboid
-Show interest in calculating surface areas of cuboids

-Discuss the properties of a cuboid
-Cut a cuboid along its edges to separate the faces
-Measure the length and width 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 cuboid

How do we find the surface area of a cuboid?

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

-Observation -Oral questions -Written tests

Measurements

Area - Surface area of cylinders

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

-Observation -Oral questions -Written assignments

Measurements

Area - Surface area of cylinders (continued)

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

-Calculate the surface area of cylinders in real life situations
-Value the use of surface area in practical contexts

-Apply the formula for surface area of a cylinder in real-life problems
-Calculate the surface area of cylindrical objects
-Solve problems involving packaging and wrapping of cylindrical objects

How do we apply the concept of surface area of cylinders in real life?

MENTOR Mathematics Learner's Book pg. 112-113
-Cylindrical objects
-Calculator
-Measuring tools

-Observation -Oral questions -Written tests

Measurements

Area - Surface area of triangular prisms

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

-Observation -Oral questions -Written assignments

Measurements

Area - Surface area of triangular prisms

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

-Observation -Oral questions -Written assignments

Measurements

Area - Surface area of triangular prisms

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

-Observation -Oral questions -Written assignments

Measurements

Area - Area of irregular shapes

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

-Work out the area of irregular shapes using square grids
-Appreciate the method of estimating areas of irregular shapes

-Place a leaf on a square grid and trace its outline
-Count the number of unit squares fully enclosed
-Count the number of squares partially enclosed and divide by two
-Add the results to estimate the area of the leaf
-Discuss real-life applications of estimating irregular areas

How do we estimate the area of irregular shapes?

MENTOR Mathematics Learner's Book pg. 116-118
-Square grid
-Leaf
-Ruler

-Observation -Oral questions -Written tests -Practical activities

Measurements

Money - Interest and principal

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

-Observation -Oral questions -Written assignments

Measurements

Money - Simple interest

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

-Calculate simple interest in real life situations
-Appreciate the concept of simple interest in financial transactions

-Search for the meaning of simple interest using digital devices or print resources
-Discuss how simple interest is calculated using the formula I = PRT
-Practice calculating simple interest for different principals, rates and time periods
-Analyze the pattern of simple interest over time

How do we calculate simple interest?

MENTOR Mathematics Learner's Book pg. 121-122
-Calculator
-Digital devices
-Charts

-Observation -Oral questions -Written tests

Measurements

Money - Simple interest

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

-Calculate simple interest in real life situations
-Appreciate the concept of simple interest in financial transactions

-Search for the meaning of simple interest using digital devices or print resources
-Discuss how simple interest is calculated using the formula I = PRT
-Practice calculating simple interest for different principals, rates and time periods
-Analyze the pattern of simple interest over time

How do we calculate simple interest?

MENTOR Mathematics Learner's Book pg. 121-122
-Calculator
-Digital devices
-Charts

-Observation -Oral questions -Written tests

Measurements

Money - Compound interest

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

-Observation -Oral questions -Written assignments

Measurements

Money - Compound interest

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

-Observation -Oral questions -Written assignments

Measurements

Money - Appreciation

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

-Work out appreciation per annum step by step
-Value the concept of appreciation in investments

-Discuss the concept of appreciation as increase in value over time
-Calculate appreciation step by step for assets that increase in value
-Use formula for appreciation based on percentage increase
-Identify assets that typically appreciate in value

How do we calculate appreciation over time?

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

-Observation -Oral questions -Written tests

Measurements

Money - Depreciation

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

-Observation -Oral questions -Written assignments

Measurements

Money - Depreciation

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

-Observation -Oral questions -Written assignments

Measurements

Money - Hire purchase

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

-Explain the concept of hire purchase
-Compare different payment options
-Value informed financial decision making

-Visit a furniture shop or examine a poster showing hire purchase terms
-Discuss the terms of payment offered by the shop
-Compare cash price versus hire purchase price
-Analyze which payment option is more economical

How do we pay for goods on hire purchase?

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

-Observation -Oral questions -Written tests

Measurements

Money - Hire purchase

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

-Explain the concept of hire purchase
-Compare different payment options
-Value informed financial decision making

-Visit a furniture shop or examine a poster showing hire purchase terms
-Discuss the terms of payment offered by the shop
-Compare cash price versus hire purchase price
-Analyze which payment option is more economical

How do we pay for goods on hire purchase?

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

-Observation -Oral questions -Written tests

Measurements

Money - Calculating hire purchase price

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

-Observation -Oral questions -Written assignments

Measurements

Money - Calculating deposits and installments

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

-Calculate the deposit in hire purchase transactions
-Calculate the monthly installments in hire purchase
-Show interest in applying mathematics in financial decisions

-Calculate the deposit when given hire purchase price and monthly installments
-Determine monthly installments when given hire purchase price and deposit
-Solve varied hire purchase problems
-Apply hire purchase concepts to real-life situations

How do we apply mathematics in hire purchase decisions?

MENTOR Mathematics Learner's Book pg. 135-137
-Calculator
-Digital devices
-Price lists

-Observation -Oral questions -Written tests

Measurements

Money - Calculating deposits and installments

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

-Calculate the deposit in hire purchase transactions
-Calculate the monthly installments in hire purchase
-Show interest in applying mathematics in financial decisions

-Calculate the deposit when given hire purchase price and monthly installments
-Determine monthly installments when given hire purchase price and deposit
-Solve varied hire purchase problems
-Apply hire purchase concepts to real-life situations

How do we apply mathematics in hire purchase decisions?

MENTOR Mathematics Learner's Book pg. 135-137
-Calculator
-Digital devices
-Price lists

-Observation -Oral questions -Written tests

Measurements

Money - Online financial tools

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

-Use IT and other resources to carry out operations related to money
-Appreciate the role of technology in financial calculations

-Use IT to access online shopping platforms and identify terms of sale
-Explore online calculators for interest, depreciation, and hire purchase
-Compare different financial options using digital tools
-Discuss the role of technology in financial management

How does technology help in financial calculations?

MENTOR Mathematics Learner's Book pg. 138
-Digital devices
-Internet access
-Online calculators

-Observation -Oral questions -Digital activities

Measurements

Money - Financial responsibility

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

-Spend money responsibly on needs and leisure
-Value wise financial decision making

-Discuss the difference between needs and wants
-Create a simple budget allocating money for different purposes
-Analyze case studies of responsible and irresponsible spending
-Debate the importance of saving versus immediate consumption

How can we manage money responsibly?

MENTOR Mathematics Learner's Book pg. 138
-Budget templates
-Case studies
-Charts

-Observation -Oral questions -Projects

Measurements

Money - Financial responsibility

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

-Spend money responsibly on needs and leisure
-Value wise financial decision making

-Discuss the difference between needs and wants
-Create a simple budget allocating money for different purposes
-Analyze case studies of responsible and irresponsible spending
-Debate the importance of saving versus immediate consumption

How can we manage money responsibly?

MENTOR Mathematics Learner's Book pg. 138
-Budget templates
-Case studies
-Charts

-Observation -Oral questions -Projects