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WK | LSN | STRAND | SUB-STRAND | LESSON LEARNING OUTCOMES | LEARNING EXPERIENCES | KEY INQUIRY QUESTIONS | LEARNING RESOURCES | ASSESSMENT METHODS | REFLECTION |
---|---|---|---|---|---|---|---|---|---|
1 | 1 |
Numbers
|
Integers - Identifying integers
Integers - Representing integers on a number line |
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 MENTOR Mathematics Learner's Book pg. 2-3 -Wood ash |
-Observation
-Oral questions
-Written assignments
|
|
1 | 2 |
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
|
|
1 | 3 |
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
|
|
1 | 4 |
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
|
|
1 | 5 |
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
|
|
2 | 1 |
Numbers
|
Fractions - Combined operations
|
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 |
-Observation
-Oral questions
-Written tests
|
|
2 | 2 |
Numbers
|
Fractions - Operations in real life situations
Fractions - Digital applications |
By the end of the
lesson, the learner
should be able to:
-Work out operations on fractions in real life situations -Value the use of fractions in solving real life problems |
-Discuss and carry out operations on fractions from activities such as shopping and other real life cases. -Solve word problems involving operations on fractions. |
How do we apply fractions in real life situations?
|
MENTOR Mathematics Learner's Book pg. 20-22
-Charts -Fraction boards MENTOR Mathematics Learner's Book pg. 22 -Digital devices -Internet resources |
-Observation
-Oral questions
-Written assignments
|
|
2 | 3 |
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
|
|
2 | 4 |
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
|
|
2 | 5 |
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
|
|
3 | 1 |
Numbers
|
Decimals - Rounding off decimals
Decimals - Significant figures |
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 MENTOR Mathematics Learner's Book pg. 39-40 -Place value charts -Number cards |
-Observation
-Oral questions
-Written tests
|
|
3 | 2 |
Numbers
|
Decimals - Standard form
|
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 |
-Observation
-Oral questions
-Written tests
|
|
3 | 3 |
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
|
|
3 | 4 |
Numbers
|
Squares - Squares of numbers from tables
Squares - Squares of numbers greater than 10 |
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 |
-Observation
-Oral questions
-Written tests
|
|
3 | 5 |
Numbers
|
Squares - Squares of numbers less than 1
|
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 |
-Observation
-Oral questions
-Written tests
|
|
4 | 1 |
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
|
|
4 | 2 |
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
|
|
4 | 3 |
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
|
|
4 | 4 |
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
|
|
4 | 5 |
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
|
|
5 | 1 |
Numbers
|
Ratio - Dividing quantities in given 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 |
-Observation
-Oral questions
-Written tests
|
|
5 | 2 |
Numbers
|
Ratio - Increase and decrease using ratios
Percentages - Percentage increase |
By the end of the
lesson, the learner
should be able to:
-Work out increase and decrease of quantities using ratios -Appreciate changes in quantities expressed as ratios |
-Practice increasing quantities in given ratios. -Practice decreasing quantities in given ratios. |
How do we use ratios to increase or decrease quantities?
|
MENTOR Mathematics Learner's Book pg. 62-63
-Ratio cards -Number cards MENTOR Mathematics Learner's Book pg. 64 -Charts -Digital resources |
-Observation
-Oral questions
-Written assignments
|
|
5 | 3 |
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
|
|
5 | 4 |
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
|
|
5 | 5 |
Numbers
|
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 |
-Observation
-Oral questions
-Written tests
|
|
6 | 1 |
Numbers
|
Indirect proportion - Working out indirect proportion
Ratios and proportions - Digital applications |
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 MENTOR Mathematics Learner's Book pg. 68 -Digital devices -Videos |
-Observation
-Oral questions
-Written assignments
|
|
6 | 2 |
Numbers
|
Ratios and proportions - Real life applications
|
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 |
-Observation
-Oral questions
-Projects
|
|
6 | 3 |
Algebra
|
Algebraic Expressions - Factorizing algebraic expressions (1)
Algebraic Expressions - Factorizing algebraic expressions (2) |
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 MENTOR Mathematics Learner's Book pg. 69-70 |
-Observation
-Oral questions
-Written assignments
|
|
6 | 4 |
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
|
|
6 | 5 |
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
|
|
7 |
MID TERM EXAMS |
||||||||
8 | 1 |
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
|
|
8 | 2 |
Algebra
|
Linear Equations - Forming linear equations in two unknowns
Linear Equations - Substitution method introduction |
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 MENTOR Mathematics Learner's Book pg. 81 -Number cards -Linear equation cards |
-Observation
-Oral questions
-Written assignments
|
|
8 |
MID TERM BREAK |
||||||||
9 | 1 |
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
|
|
9 | 2 |
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
|
|
9 | 3 |
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
|
|
9 | 4 |
Measurements
|
Circles - Circumference of a circle
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 -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 MENTOR Mathematics Learner's Book pg. 89 -Circular objects -Ruler |
-Observation
-Oral questions
-Written assignments
|
|
9 | 5 |
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
|
|
10 | 1 |
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
|
|
10 | 2 |
Measurements
|
Circles - Perimeter of a sector (continued)
Area - Area of a circle |
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 |
-Observation
-Oral questions
-Written tests
|
|
10 | 3 |
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
|
|
10 | 4 |
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
|
|
10 | 5 |
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
|
|
11 | 1 |
Measurements
|
Area - Surface area of cuboids
Area - Surface area of cylinders |
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 MENTOR Mathematics Learner's Book pg. 110-111 -Closed cylinder |
-Observation
-Oral questions
-Written tests
|
|
11 | 2 |
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
|
|
11 | 3 |
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
|
|
11 | 4 |
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
|
|
11 | 5 |
Measurements
|
Money - Simple interest
Money - Compound 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 MENTOR Mathematics Learner's Book pg. 123-125 |
-Observation
-Oral questions
-Written tests
|
|
12 | 1 |
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
|
|
12 | 2 |
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
|
|
12 | 3 |
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
|
|
12 | 4 |
Measurements
|
Money - Calculating deposits and installments
Money - Online financial tools |
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 MENTOR Mathematics Learner's Book pg. 138 -Internet access -Online calculators |
-Observation
-Oral questions
-Written tests
|
|
12 | 5 |
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
|
|
13-14 |
REVISION AND ENDTERM EXAMS |
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