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WK | LSN | STRAND | SUB-STRAND | LESSON LEARNING OUTCOMES | LEARNING EXPERIENCES | KEY INQUIRY QUESTIONS | LEARNING RESOURCES | ASSESSMENT METHODS | REFLECTION |
---|---|---|---|---|---|---|---|---|---|
2 | 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
|
|
2 | 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
|
|
2 | 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
|
|
2 | 4 |
Numbers
|
Integers - Real life applications
Fractions - Combined operations (Addition and subtraction) |
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 MENTOR Mathematics Learner's Book pg. 15 -Fraction cards -Practice cards |
-Observation
-Oral questions
-Written tests
|
|
2 | 5 |
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
|
|
3 | 1 |
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
|
|
3 | 2 |
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
|
|
3 | 3 |
Numbers
|
Fractions - Applications in various contexts
Decimals - Converting fractions to decimals |
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 MENTOR Mathematics Learner's Book pg. 35 -Multiplication tables -Place value charts |
-Observation
-Oral questions
-Projects
|
|
3 | 4 |
Numbers
|
Decimals - Identifying recurring decimals
Decimals - Converting recurring decimals to fractions |
By the end of the
lesson, the learner
should be able to:
-Identify recurring decimals in different situations -Appreciate patterns in recurring decimals |
-In groups, discuss and classify non-recurring and recurring decimals. -Indicate the recurring digits in decimal numbers. |
How do we identify recurring decimals?
|
MENTOR Mathematics Learner's Book pg. 36-37
-Decimal cards -Calculator MENTOR Mathematics Learner's Book pg. 37-38 -Multiplication tables |
-Observation
-Oral questions
-Written tests
|
|
3 | 5 |
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
|
|
4 | 1 |
Numbers
|
Decimals - Significant figures
Decimals - Standard form |
By the end of the
lesson, the learner
should be able to:
-Express numbers to a required significant figure -Value precision in representing numbers |
-Write decimal and whole numbers to a given significant figures. -Apply rules for determining significant figures. |
When do we use significant figures?
|
MENTOR Mathematics Learner's Book pg. 39-40
-Place value charts -Number cards MENTOR Mathematics Learner's Book pg. 41-42 -Flash cards |
-Observation
-Oral questions
-Written assignments
|
|
4 | 2 |
Numbers
|
Decimals - Combined operations on decimals
|
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 |
-Observation
-Oral questions
-Written assignments
|
|
4 | 3 |
Numbers
|
Decimals - Real life applications
Squares - Squares of numbers from tables |
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 MENTOR Mathematics Learner's Book pg. 46-47 -Square tables -Square cut-outs |
-Observation
-Oral questions
-Written assignments
|
|
4 | 4 |
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
|
|
4 | 5 |
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
|
|
5 | 1 |
Numbers
|
Square Roots - Square roots from tables
Square Roots - Square roots of numbers greater than 10 |
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 MENTOR Mathematics Learner's Book pg. 52-53 |
-Observation
-Oral questions
-Written assignments
|
|
5 | 2 |
Numbers
|
Square Roots - Square roots of numbers less than 1
|
By the end of the
lesson, the learner
should be able to:
-Work out square roots of numbers 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 |
-Observation
-Oral questions
-Written assignments
|
|
5 | 3 |
Numbers
|
Rates - Identifying rates
Rates - Working out rates |
By the end of the
lesson, the learner
should be able to:
-Identify rates in different situations -Appreciate the concept of rates in daily life |
-Discuss the concept of rates and identify examples from daily life. -Time different activities and calculate rates. |
How do we use rates in real life situations?
|
MENTOR Mathematics Learner's Book pg. 55
-Rate cards -Stopwatch MENTOR Mathematics Learner's Book pg. 56-57 -Price lists |
-Observation
-Oral questions
-Written tests
|
|
5 | 4 |
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
|
|
5 | 5 |
Numbers
|
Ratio - Comparing ratios
Ratio - Dividing quantities in given 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 MENTOR Mathematics Learner's Book pg. 60-62 -Bottle tops -Counters |
-Observation
-Oral questions
-Written assignments
|
|
6 | 1 |
Numbers
|
Ratio - Increase and decrease using ratios
|
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 |
-Observation
-Oral questions
-Written assignments
|
|
6 | 2 |
Numbers
|
Percentages - Percentage increase
Percentages - Percentage decrease |
By the end of the
lesson, the learner
should be able to:
-Work out percentage increase of given quantities -Show interest in calculating percentage changes |
-Discuss and determine percentage increase of different quantities. -Solve problems involving percentage increase. |
How do we calculate percentage increase?
|
MENTOR Mathematics Learner's Book pg. 64
-Charts -Digital resources MENTOR Mathematics Learner's Book pg. 65 |
-Observation
-Oral questions
-Written tests
|
|
6 | 3 |
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
|
|
6 | 4 |
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 | 5 |
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
|
|
7 | 1 |
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
|
|
7 | 2 |
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
|
|
7 | 3 |
Algebra
|
Algebraic Expressions - Simplifying algebraic fractions (1)
Algebraic Expressions - Simplifying algebraic fractions (2) |
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 MENTOR Mathematics Learner's Book pg. 73-74 -Number cards |
-Observation
-Oral questions
-Written assignments
|
|
7 | 4 |
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
|
|
7 | 5 |
Algebra
|
Algebraic Expressions - Evaluating algebraic expressions by substitution (2)
Linear Equations - Forming linear equations in two unknowns |
By the end of the
lesson, the learner
should be able to:
-Evaluate algebraic expressions with multiple variables -Apply substitution to real-life problems -Appreciate the use of algebraic expressions in real life |
-Practice substituting multiple values in algebraic expressions -Solve problems involving area, perimeter and volume using substitution -Apply algebraic expressions to real-life situations |
How do we use algebraic expressions in real life situations?
|
MENTOR Mathematics Learner's Book pg. 77-78
-Expression cards -Digital resources MENTOR Mathematics Learner's Book pg. 79-80 -Beam balance -Objects of different masses |
-Observation
-Oral questions
-Written tests
|
|
8 | 1 |
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
|
|
8 | 2 |
Algebra
|
Linear Equations - Solving linear equations by substitution
Linear Equations - Elimination method introduction |
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 MENTOR Mathematics Learner's Book pg. 84 -Linear equation cards |
-Observation
-Oral questions
-Written assignments
|
|
8 | 3 |
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
|
|
8 | 4 |
Algebra
Measurements |
Linear Equations - Real life applications
Circles - Circumference of a circle |
By the end of the
lesson, the learner
should be able to:
-Apply linear equations in two unknowns to real life situations -Choose appropriate methods to solve real-life problems -Recognize the value of linear equations in daily life |
-Practice forming and solving simultaneous equations from real life cases using any method -Solve problems involving cost, age, distance and other quantities -Watch videos or use other materials involving linear equations in two unknowns |
How do we apply linear equations to solve real-life problems?
|
MENTOR Mathematics Learner's Book pg. 87
-Digital devices -Videos MENTOR Mathematics Learner's Book pg. 88 -Rope -Wooden pegs -String -Metre ruler |
-Observation
-Oral questions
-Written tests
-Projects
|
|
8 | 5 |
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
|
|
9 |
Midterm |
||||||||
10 | 1 |
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
|
|
10 | 2 |
Measurements
|
Circles - Perimeter of a sector
Circles - Perimeter of a sector (continued) |
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 MENTOR Mathematics Learner's Book pg. 96-98 -Calculators -Charts -Models of sectors |
-Observation
-Oral questions
-Written assignments
|
|
10 | 3 |
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
|
|
10 | 4 |
Measurements
|
Area - Area of a circle in real life
Area - Area of a sector |
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 MENTOR Mathematics Learner's Book pg. 102-103 -Ruler -Plain paper -Pair of compasses |
-Observation
-Oral questions
-Written tests
|
|
10 | 5 |
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
|
|
11 | 1 |
Measurements
|
Area - Surface area of cubes
Area - Surface area of cuboids |
By the end of the
lesson, the learner
should be able to:
-Work out the surface area of a cube -Appreciate the 3D nature of a cube |
-Discuss the properties of a cube -Cut a cube along its edges to separate the faces -Measure the sides of each face and calculate their areas -Find the sum of the areas of all six faces -Derive the formula for surface area of a cube |
How do we determine the surface area of a cube?
|
MENTOR Mathematics Learner's Book pg. 106-107
-Closed cube -Ruler -Pair of scissors MENTOR Mathematics Learner's Book pg. 108-109 -Closed cuboid |
-Observation
-Oral questions
-Written assignments
|
|
11 | 2 |
Measurements
|
Area - Surface area of cylinders
Area - Surface area of cylinders (continued) |
By the end of the
lesson, the learner
should be able to:
-Work out the surface area of a cylinder -Show curiosity in exploring the surface of a cylinder |
-Discuss the properties of a cylinder -Cut a cylinder to separate the two circular parts and the curved surface -Observe that the curved surface opens up into a rectangle -Measure the dimensions of the rectangle and the circles -Calculate the areas of the circular top, circular bottom and the curved surface -Find the sum of all the areas |
How do we determine the surface area of a cylinder?
|
MENTOR Mathematics Learner's Book pg. 110-111
-Closed cylinder -Pair of scissors -Ruler MENTOR Mathematics Learner's Book pg. 112-113 -Cylindrical objects -Calculator -Measuring tools |
-Observation
-Oral questions
-Written assignments
|
|
11 | 3 |
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
|
|
11 | 4 |
Measurements
|
Area - Area of irregular shapes
Money - Interest and principal |
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 MENTOR Mathematics Learner's Book pg. 119-120 -Resource persons -Financial documents -Charts |
-Observation
-Oral questions
-Written tests
-Practical activities
|
|
11 | 5 |
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
|
|
12 | 1 |
Measurements
|
Money - Compound interest
Money - Appreciation |
By the end of the
lesson, the learner
should be able to:
-Calculate compound interest per annum step by step -Show interest in the growth of money through compound interest |
-Search for the meaning of compound interest using digital devices or print resources -Discuss the concept of compound interest as interest on principal plus previously earned interest -Calculate compound interest step by step for different years -Compare compound interest with simple interest |
How does compound interest differ from simple interest?
|
MENTOR Mathematics Learner's Book pg. 123-125
-Calculator -Digital devices -Charts MENTOR Mathematics Learner's Book pg. 126-127 |
-Observation
-Oral questions
-Written assignments
|
|
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
|
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