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| WK | LSN | STRAND | SUB-STRAND | LESSON LEARNING OUTCOMES | LEARNING EXPERIENCES | KEY INQUIRY QUESTIONS | LEARNING RESOURCES | ASSESSMENT METHODS | REFLECTION |
|---|---|---|---|---|---|---|---|---|---|
| 2 | 1 |
Algebra
|
Algebraic Expressions - Forming expressions involving addition and subtraction
|
By the end of the
lesson, the learner
should be able to:
- Define an algebraic expression - Form algebraic expressions involving addition and subtraction from real life situations - Show interest in forming algebraic expressions |
- Discuss objects like oranges owned by different learners using letters x and y - Write expressions for total number of items - Form expressions from stories involving cows, eggs and ages |
How do we form algebraic expressions from real life situations?
|
- Smart Minds Mathematics Learner's Book pg. 72 - Real objects (oranges, pencils) - Number cards |
- Oral questions
- Written exercises
- Observation
|
|
| 2 | 2 |
Algebra
|
Algebraic Expressions - Forming expressions involving multiplication and division
Algebraic Expressions - Simplifying expressions involving addition and subtraction |
By the end of the
lesson, the learner
should be able to:
- Explain the process of forming expressions involving multiplication and division - Form algebraic expressions involving multiplication and division - Appreciate the use of algebraic expressions in real life |
- Collect objects like pencils and sharpeners and group similar objects - Let selling price of pencil be sh p and sharpeners be sh b - Write expressions for cost of buying multiple items |
How do we form expressions involving multiplication and division?
|
- Smart Minds Mathematics Learner's Book pg. 73
- Pencils, sharpeners - Price tags - Smart Minds Mathematics Learner's Book pg. 74 - Shopping items - Price lists |
- Written assignments
- Class activities
- Oral questions
|
|
| 2 | 3 |
Algebra
|
Algebraic Expressions - Simplifying expressions involving multiplication and division
|
By the end of the
lesson, the learner
should be able to:
- Explain how to remove brackets in algebraic expressions - Simplify algebraic expressions involving brackets - Value accuracy in simplifying expressions |
- Make number cards with expressions like 5(x+4)+8(x+5) - Remove brackets by multiplying number outside with terms inside - Group like terms and simplify |
How do we simplify expressions with brackets?
|
- Smart Minds Mathematics Learner's Book pg. 75 - Number cards - Charts |
- Written assignments
- Class activities
- Oral questions
|
|
| 2 | 4 |
Algebra
|
Algebraic Expressions - Application of simplifying expressions
|
By the end of the
lesson, the learner
should be able to:
- Identify algebraic expressions in geometric figures - Simplify expressions to find perimeter and volume - Appreciate the application of algebraic expressions in geometry |
- Find perimeter of triangles with sides as algebraic expressions - Find volume of figures with dimensions as expressions - Solve problems involving rectangles with algebraic dimensions |
Where do we apply algebraic expressions in real life?
|
- Smart Minds Mathematics Learner's Book pg. 76 - Geometric shapes - Digital devices |
- Written exercises
- Oral questions
- Observation
|
|
| 2 | 5 |
Algebra
|
Linear Equations - Forming equations involving addition and subtraction
|
By the end of the
lesson, the learner
should be able to:
- Define a linear equation - Form linear equations involving addition and subtraction - Show interest in forming equations |
- Use beam balance with 5 kg mass on one side - Place 2 kg mass and add sand of unknown mass x until balanced - Write equation to show relationship: x + 2 = 5 |
What is a linear equation?
|
- Smart Minds Mathematics Learner's Book pg. 77 - Beam balance - Masses (weights) |
- Oral questions
- Written exercises
- Observation
|
|
| 3 | 1 |
Algebra
|
Linear Equations - Forming equations from word problems
Linear Equations - Forming equations involving multiplication and division |
By the end of the
lesson, the learner
should be able to:
- Interpret word problems to form equations - Form linear equations from real life situations - Appreciate the use of equations in solving problems |
- Form equations from stories about money, oranges, bananas and eggs - Write equations like y + 3 = 11 for Juma's oranges - Practice forming equations from various contexts |
How do we form equations from word problems?
|
- Smart Minds Mathematics Learner's Book pg. 78
- Word problem cards - Number cards - Smart Minds Mathematics Learner's Book pg. 79 - Number cards - Rectangle diagrams |
- Written assignments
- Class activities
- Oral questions
|
|
| 3 | 2 |
Algebra
|
Linear Equations - Solving equations involving addition and subtraction
|
By the end of the
lesson, the learner
should be able to:
- State the steps for solving linear equations - Solve linear equations involving addition and subtraction - Value accuracy in solving equations |
- Make number cards with equations like 4x + 2 = 18 - Collect like terms on each side of the equation - Solve to find the value of the unknown |
How do we solve linear equations?
|
- Smart Minds Mathematics Learner's Book pg. 80 - Number cards - Charts |
- Written assignments
- Class activities
- Oral questions
|
|
| 3 | 3 |
Algebra
|
Linear Equations - Solving equations involving multiplication and division
|
By the end of the
lesson, the learner
should be able to:
- Explain how to solve equations with brackets - Solve linear equations involving multiplication and division - Appreciate the application of equations in real life |
- Read story of Grace giving a third of her pencils to friends - Open brackets and collect like terms - Divide both sides by coefficient of unknown |
How do we solve equations with brackets?
|
- Smart Minds Mathematics Learner's Book pg. 80 - Word problem cards - Calculators |
- Written exercises
- Oral questions
- Observation
|
|
| 3 | 4 |
Algebra
|
Linear Equations - Solving equations involving multiplication and division
|
By the end of the
lesson, the learner
should be able to:
- Explain how to solve equations with brackets - Solve linear equations involving multiplication and division - Appreciate the application of equations in real life |
- Read story of Grace giving a third of her pencils to friends - Open brackets and collect like terms - Divide both sides by coefficient of unknown |
How do we solve equations with brackets?
|
- Smart Minds Mathematics Learner's Book pg. 80 - Word problem cards - Calculators |
- Written exercises
- Oral questions
- Observation
|
|
| 3 | 5 |
Algebra
|
Linear Equations - Application of linear equations
|
By the end of the
lesson, the learner
should be able to:
- Identify real life problems involving linear equations - Solve problems using linear equations - Show interest in applying equations to real life |
- Solve problems about Mwandawiro's salary and school fees - Find interior angles of triangles using equations - Solve problems about Kahuho's bags of maize |
Where do we apply linear equations in daily life?
|
- Smart Minds Mathematics Learner's Book pg. 81 - Triangle diagrams - Digital devices |
- Written assignments
- Class activities
- Oral questions
|
|
| 4 | 1 |
Algebra
|
Linear Inequalities - Inequality symbols
|
By the end of the
lesson, the learner
should be able to:
- Identify inequality symbols (<, >, ≤, ≥) - Use inequality symbols to compare quantities - Show interest in using inequality symbols |
- Use see-saw to compare masses of learners - Write Mary's mass > John's mass or John's mass < Mary's mass - Fill spaces with correct inequality symbols |
What are inequality symbols?
|
- Smart Minds Mathematics Learner's Book pg. 81 - See-saw - Inequality cards |
- Oral questions
- Written exercises
- Observation
|
|
| 4 | 2 |
Algebra
|
Linear Inequalities - Inequality symbols
|
By the end of the
lesson, the learner
should be able to:
- Identify inequality symbols (<, >, ≤, ≥) - Use inequality symbols to compare quantities - Show interest in using inequality symbols |
- Use see-saw to compare masses of learners - Write Mary's mass > John's mass or John's mass < Mary's mass - Fill spaces with correct inequality symbols |
What are inequality symbols?
|
- Smart Minds Mathematics Learner's Book pg. 81 - See-saw - Inequality cards |
- Oral questions
- Written exercises
- Observation
|
|
| 4 | 3 |
Algebra
|
Linear Inequalities - Applying inequality symbols to statements
|
By the end of the
lesson, the learner
should be able to:
- Explain the meaning of "at least" and "at most" - Apply inequality symbols to real life statements - Appreciate the use of inequalities in daily life |
- Read story of Harriet visiting nutritionist about eggs and fruits - Write: Number of eggs ≤ 2, Number of fruits ≥ 3 - Form inequalities from statements about height and volume |
How do we apply inequality symbols to real life situations?
|
- Smart Minds Mathematics Learner's Book pg. 82 - Inequality cards - Charts |
- Written assignments
- Class activities
- Oral questions
|
|
| 4 | 4 |
Algebra
|
Linear Inequalities - Forming inequalities involving addition and subtraction
|
By the end of the
lesson, the learner
should be able to:
- Define a linear inequality - Form simple linear inequalities involving addition and subtraction - Show confidence in forming inequalities |
- Use beam balance with 5 kg on one side and 3 kg + sand on other side - Let mass of sand be b kg and form inequality - Form inequalities from stories about buses, oranges and goats |
How do we form linear inequalities?
|
- Smart Minds Mathematics Learner's Book pg. 84 - Beam balance - Masses |
- Written exercises
- Oral questions
- Observation
|
|
| 4 | 5 |
Algebra
|
Linear Inequalities - Forming inequalities involving addition and subtraction
|
By the end of the
lesson, the learner
should be able to:
- Define a linear inequality - Form simple linear inequalities involving addition and subtraction - Show confidence in forming inequalities |
- Use beam balance with 5 kg on one side and 3 kg + sand on other side - Let mass of sand be b kg and form inequality - Form inequalities from stories about buses, oranges and goats |
How do we form linear inequalities?
|
- Smart Minds Mathematics Learner's Book pg. 84 - Beam balance - Masses |
- Written exercises
- Oral questions
- Observation
|
|
| 5 | 1 |
Algebra
|
Linear Inequalities - Forming inequalities involving multiplication and division
|
By the end of the
lesson, the learner
should be able to:
- Explain how to form inequalities from multiplication and division situations - Form simple linear inequalities involving multiplication and division - Value the use of inequalities in problem solving |
- Read story of Eric and Maureen buying pencils at sh 10 each - Form inequality: 10x + 10(x+3) < 100 - Form inequalities about plates, shirts and bananas |
How do we form inequalities involving multiplication and division?
|
- Smart Minds Mathematics Learner's Book pg. 85 - Word problem cards - Number cards |
- Written assignments
- Class activities
- Oral questions
|
|
| 5 | 2 |
Algebra
|
Linear Inequalities - Forming inequalities involving multiplication and division
|
By the end of the
lesson, the learner
should be able to:
- Explain how to form inequalities from multiplication and division situations - Form simple linear inequalities involving multiplication and division - Value the use of inequalities in problem solving |
- Read story of Eric and Maureen buying pencils at sh 10 each - Form inequality: 10x + 10(x+3) < 100 - Form inequalities about plates, shirts and bananas |
How do we form inequalities involving multiplication and division?
|
- Smart Minds Mathematics Learner's Book pg. 85 - Word problem cards - Number cards |
- Written assignments
- Class activities
- Oral questions
|
|
| 5 | 3 |
Algebra
|
Linear Inequalities - Illustrating simple inequalities on a number line
|
By the end of the
lesson, the learner
should be able to:
- Describe how to represent inequalities on a number line - Illustrate simple inequalities using open and closed points - Show interest in representing inequalities graphically |
- Study number lines and list numbers greater than, less than, or equal to 5 - Use open point (○) when number is not included - Use closed point (●) when number is included |
How do we represent inequalities on a number line?
|
- Smart Minds Mathematics Learner's Book pg. 86 - Number lines - Inequality cards |
- Written exercises
- Oral questions
- Observation
|
|
| 5 | 4 |
Algebra
|
Linear Inequalities - Forming compound inequalities
|
By the end of the
lesson, the learner
should be able to:
- Define a compound inequality - Form compound inequalities from two simple inequalities - Appreciate the use of compound inequalities |
- Look at inequality cards: y ≥ 2 and y < 7 combined as 2 ≤ y < 7 - Read story about Grade 7 Red with learners less than 45 but more than 40 - Form compound inequalities like 5 < y < 12 |
What is a compound inequality?
|
- Smart Minds Mathematics Learner's Book pg. 87 - Inequality cards - Charts |
- Written assignments
- Class activities
- Oral questions
|
|
| 5 | 5 |
Algebra
|
Linear Inequalities - Forming compound inequalities
|
By the end of the
lesson, the learner
should be able to:
- Define a compound inequality - Form compound inequalities from two simple inequalities - Appreciate the use of compound inequalities |
- Look at inequality cards: y ≥ 2 and y < 7 combined as 2 ≤ y < 7 - Read story about Grade 7 Red with learners less than 45 but more than 40 - Form compound inequalities like 5 < y < 12 |
What is a compound inequality?
|
- Smart Minds Mathematics Learner's Book pg. 87 - Inequality cards - Charts |
- Written assignments
- Class activities
- Oral questions
|
|
| 6 | 1 |
Algebra
|
Linear Inequalities - Illustrating compound inequalities on a number line
|
By the end of the
lesson, the learner
should be able to:
- Explain how to illustrate compound inequalities - Illustrate compound inequalities on a number line - Show confidence in representing compound inequalities |
- Make inequality cards with compound inequalities - Illustrate 3 < x ≤ 7 showing x greater than 3 and less than or equal to 7 - Use open and closed points appropriately |
How do we illustrate compound inequalities on a number line?
|
- Smart Minds Mathematics Learner's Book pg. 88 - Number lines - Inequality cards |
- Written exercises
- Oral questions
- Observation
|
|
| 6 | 2 |
Algebra
|
Linear Inequalities - Application of compound inequalities
|
By the end of the
lesson, the learner
should be able to:
- Identify real life situations involving compound inequalities - Form and illustrate compound inequalities from word problems - Value the application of inequalities in daily life |
- Solve problems about farmers with goats (less than 8 but more than 6) - Form compound inequality and illustrate on number line - Solve problems about Katana buying oranges |
Where do we use compound inequalities in real life?
|
- Smart Minds Mathematics Learner's Book pg. 88 - Word problem cards - Digital devices |
- Written assignments
- Class activities
- Oral questions
|
|
| 6 | 3 |
Algebra
|
Linear Inequalities - Application of compound inequalities
|
By the end of the
lesson, the learner
should be able to:
- Identify real life situations involving compound inequalities - Form and illustrate compound inequalities from word problems - Value the application of inequalities in daily life |
- Solve problems about farmers with goats (less than 8 but more than 6) - Form compound inequality and illustrate on number line - Solve problems about Katana buying oranges |
Where do we use compound inequalities in real life?
|
- Smart Minds Mathematics Learner's Book pg. 88 - Word problem cards - Digital devices |
- Written assignments
- Class activities
- Oral questions
|
|
| 6 | 4 |
Measurements
|
Pythagorean Relationship - Sides of a right-angled triangle
|
By the end of the
lesson, the learner
should be able to:
- Identify the sides of a right-angled triangle - Name the base, height and hypotenuse of a right-angled triangle - Show interest in learning about right-angled triangles |
- Read story of Linda and Methuselah using a ladder to climb a fruit tree - Draw figure formed between tree, ladder and ground - Identify the longest side (hypotenuse) and two shorter sides (base and height) |
What are the sides of a right-angled triangle?
|
- Smart Minds Mathematics Learner's Book pg. 89 - Ladders - Right-angled triangle models |
- Oral questions
- Written exercises
- Observation
|
|
| 6 | 5 |
Measurements
|
Pythagorean Relationship - Establishing the relationship
Pythagorean Relationship - Finding unknown sides |
By the end of the
lesson, the learner
should be able to:
- State the Pythagorean relationship - Verify Pythagorean relationship by counting squares - Appreciate the relationship between sides of a right-angled triangle |
- Trace and draw right-angled triangle with sides 3 cm, 4 cm and 5 cm - Draw squares on each side and divide into 1 cm squares - Count squares and compare: squares on height + squares on base = squares on hypotenuse |
What is the Pythagorean relationship?
|
- Smart Minds Mathematics Learner's Book pg. 91
- Square grids - Rulers and pencils - Smart Minds Mathematics Learner's Book pg. 92 - Calculators - Triangle diagrams |
- Written assignments
- Class activities
- Oral questions
|
|
| 7 | 1 |
Measurements
|
Pythagorean Relationship - Real life applications
|
By the end of the
lesson, the learner
should be able to:
- Identify real life situations involving Pythagorean relationship - Solve real life problems using Pythagorean relationship - Value the application of Pythagorean relationship in daily life |
- Solve puzzle finding missing sides marked with letters - Calculate length of ladder inclined on wall - Use IT devices to explore applications in construction and surveying |
Where do we apply Pythagorean relationship in daily life?
|
- Smart Minds Mathematics Learner's Book pg. 93 - Puzzles - Digital devices |
- Written assignments
- Class activities
- Oral questions
|
|
| 7 | 2 |
Measurements
|
Length - Converting units of length
|
By the end of the
lesson, the learner
should be able to:
- Identify units of length (cm, dm, m, Dm, Hm) - Convert units of length from one form to another - Show interest in converting units of length |
- Study Washika going up stairs labelled cm, dm, m, Dm, Hm - Note that each step is 10 times the previous - Generate conversion tables: 1 Hm = 10 Dm = 100 m = 1000 dm = 10000 cm |
Why do we convert units of length?
|
- Smart Minds Mathematics Learner's Book pg. 94 - Conversion charts - Metre rulers |
- Oral questions
- Written exercises
- Observation
|
|
| 7 | 3 |
Measurements
|
Length - Addition involving length
|
By the end of the
lesson, the learner
should be able to:
- Explain the process of adding lengths with different units - Add lengths involving Hm, Dm, m, dm and cm - Appreciate the use of addition of length in real life |
- Study map showing distances between home, school and shopping centre - Add lengths and regroup where necessary - Solve problems like Munyao walking from home to market to school |
How do we add lengths with different units?
|
- Smart Minds Mathematics Learner's Book pg. 96 - Maps - Number cards |
- Written assignments
- Class activities
- Oral questions
|
|
| 7 | 4 |
Measurements
|
Length - Subtraction involving length
Length - Multiplication involving length |
By the end of the
lesson, the learner
should be able to:
- Describe the process of subtracting lengths - Subtract lengths involving Hm, Dm, m, dm and cm - Show confidence in subtracting lengths |
- Make cards with subtraction problems - Regroup where necessary (borrow from higher unit) - Solve problems comparing distances covered by Joan and John |
How do we subtract lengths with different units?
|
- Smart Minds Mathematics Learner's Book pg. 98
- Number cards - Charts - Smart Minds Mathematics Learner's Book pg. 99 - Word problems - Calculators |
- Written exercises
- Oral questions
- Observation
|
|
| 7 | 5 |
Measurements
|
Length - Division involving length
|
By the end of the
lesson, the learner
should be able to:
- Describe the process of dividing lengths - Divide lengths involving Hm, Dm, m, dm and cm - Show interest in division of lengths |
- Read story of relay race team of 4 members covering 6 Hm 5 Dm 6 m - Divide each unit starting from highest, convert remainders - Solve problems about road sections tarmacked by workers |
How do we divide lengths by whole numbers?
|
- Smart Minds Mathematics Learner's Book pg. 100 - Word problems - Charts |
- Written exercises
- Oral questions
- Observation
|
|
| 8 |
HALF TERM BREAK |
||||||||
| 9 | 1 |
Measurements
|
Length - Perimeter and circumference of circles
|
By the end of the
lesson, the learner
should be able to:
- Define perimeter and circumference - Calculate perimeter of plane figures and circumference of circles - Appreciate the use of perimeter and circumference in real life |
- Measure distance around chalkboard, door and window - Measure circumference and diameter of circular objects - Establish relationship: Circumference ÷ Diameter = π (3.14 or 22/7) |
How do we find the circumference of a circle?
|
- Smart Minds Mathematics Learner's Book pg. 101 - Circular objects - Tape measures |
- Written assignments
- Class activities
- Oral questions
|
|
| 9 | 2 |
Measurements
|
Area - Square metres, acres and hectares
|
By the end of the
lesson, the learner
should be able to:
- Identify square metre, acre and hectare as units of area - Convert between square metres, acres and hectares - Show interest in units of measuring area |
- Draw square measuring 1 m by 1 m and find area (1 m²) - Walk around school compound and identify 1 acre piece of land - Observe shapes with area of 1 hectare (100 m × 100 m) |
What are the units of measuring area?
|
- Smart Minds Mathematics Learner's Book pg. 106 - Metre rulers - Tape measures |
- Oral questions
- Written exercises
- Observation
|
|
| 9 | 3 |
Measurements
|
Area - Area of a rectangle
Area - Area of a parallelogram |
By the end of the
lesson, the learner
should be able to:
- State the formula for area of a rectangle - Calculate area of rectangles - Appreciate the use of area in real life |
- Trace and cut out rectangles - Find area by multiplying length and width - Complete tables with length, width and area of rectangles |
How do we find the area of a rectangle?
|
- Smart Minds Mathematics Learner's Book pg. 108
- Rectangular cut-outs - Grid papers - Smart Minds Mathematics Learner's Book pg. 110 - Paper cut-outs - Scissors |
- Written assignments
- Class activities
- Oral questions
|
|
| 9 | 4 |
Measurements
|
Area - Area of a rhombus
|
By the end of the
lesson, the learner
should be able to:
- Derive the formula for area of a rhombus - Calculate area of rhombuses - Value accuracy in calculating area |
- Cut out square WXYZ and mark point K on line WX - Cut triangle WKZ and paste on line XY to form rhombus - Discover: Area = Base length × Perpendicular height |
How do we find the area of a rhombus?
|
- Smart Minds Mathematics Learner's Book pg. 112 - Square cut-outs - Scissors |
- Written assignments
- Class activities
- Oral questions
|
|
| 9 | 5 |
Measurements
|
Area - Area of a trapezium
|
By the end of the
lesson, the learner
should be able to:
- Derive the formula for area of a trapezium - Calculate area of trapezia - Appreciate the application of area in land measurement |
- Trace and cut out figure ABCD, mark point M on line AB - Cut triangle ADM to form trapezium - Discover: Area = ½(a + b) × h where a and b are parallel sides |
How do we find the area of a trapezium?
|
- Smart Minds Mathematics Learner's Book pg. 114 - Paper cut-outs - Rulers |
- Written exercises
- Oral questions
- Observation
|
|
| 10 | 1 |
Measurements
|
Area - Area of circles
|
By the end of the
lesson, the learner
should be able to:
- Derive the formula for area of a circle - Calculate area of circles using πr² - Show interest in finding area of circles |
- Draw circle with radius 7 cm and divide into 16 sectors - Cut and rearrange sectors to form rectangle - Discover: Length = πr, Width = r, Area = πr² |
How do we find the area of a circle?
|
- Smart Minds Mathematics Learner's Book pg. 116 - Pair of compasses - Manila paper |
- Written assignments
- Class activities
- Oral questions
|
|
| 10 | 2 |
Measurements
|
Area - Area of borders
Area - Area of combined shapes |
By the end of the
lesson, the learner
should be able to:
- Define the area of a border - Calculate area of borders (shaded regions) - Value accuracy in calculating area of borders |
- Read story of Mary putting picture in frame - Calculate: Area of border = Area of larger shape - Area of smaller shape - Solve problems about picture frames, carpets and swimming pools |
How do we find the area of a border?
|
- Smart Minds Mathematics Learner's Book pg. 119
- Picture frames - Diagrams - Smart Minds Mathematics Learner's Book pg. 121 - Combined shape diagrams - Calculators |
- Written exercises
- Oral questions
- Observation
|
|
| 10 | 3 |
Measurements
|
Volume and Capacity - The cubic metre (m³)
|
By the end of the
lesson, the learner
should be able to:
- Identify the cubic metre as a unit of measuring volume - Make a model of a 1 metre cube - Show interest in measuring volume |
- Use metre rule, long sticks and strings to measure and cut 12 sticks of 1 m each - Join sticks using strings to form a 1 metre cube - Observe safety when using panga to cut sticks |
What is a cubic metre?
|
- Smart Minds Mathematics Learner's Book pg. 122 - Metre rule - Long sticks, strings |
- Oral questions
- Practical activities
- Observation
|
|
| 10 | 4 |
Measurements
|
Volume and Capacity - Converting m³ to cm³
|
By the end of the
lesson, the learner
should be able to:
- State the relationship between m³ and cm³ - Convert cubic metres to cubic centimetres - Appreciate the use of volume conversions |
- Use the 1 metre cube made in previous lesson - Calculate volume in m³ (1×1×1) and in cm³ (100×100×100) - Establish: 1 m³ = 1,000,000 cm³ |
How do we convert cubic metres to cubic centimetres?
|
- Smart Minds Mathematics Learner's Book pg. 123 - 1 metre cube model - Calculators |
- Written assignments
- Class activities
- Oral questions
|
|
| 10 | 5 |
Measurements
|
Volume and Capacity - Converting cm³ to m³
Volume and Capacity - Volume of cubes |
By the end of the
lesson, the learner
should be able to:
- Explain conversion of cm³ to m³ - Convert cubic centimetres to cubic metres - Show confidence in converting units of volume |
- Make number cards with volumes in cm³ (2,000,000 cm³, 7,000,000 cm³) - Convert to m³ by dividing by 1,000,000 - Solve problems about oil tankers and water tanks |
How do we convert cubic centimetres to cubic metres?
|
- Smart Minds Mathematics Learner's Book pg. 124
- Number cards - Calculators - Smart Minds Mathematics Learner's Book pg. 125 - Clay, plasticine - Manila paper |
- Written exercises
- Oral questions
- Observation
|
|
| 11 | 1 |
Measurements
|
Volume and Capacity - Volume of cuboids
|
By the end of the
lesson, the learner
should be able to:
- State the formula for volume of a cuboid - Calculate volume of cuboids - Appreciate the use of volume in real life |
- Draw cuboid and shade one face (cross-sectional area) - Establish: Volume = Length × Width × Height - Model cuboids using locally available materials |
How do we find the volume of a cuboid?
|
- Smart Minds Mathematics Learner's Book pg. 126 - Clay, cartons - Rulers |
- Written exercises
- Oral questions
- Observation
|
|
| 11 | 2 |
Measurements
|
Volume and Capacity - Volume of cylinders
|
By the end of the
lesson, the learner
should be able to:
- State the formula for volume of a cylinder - Calculate volume of cylinders using πr²h - Show interest in finding volume of cylinders |
- Arrange pile of similar coins to form cylinder - Measure diameter and height - Establish: Volume = πr² × height |
How do we find the volume of a cylinder?
|
- Smart Minds Mathematics Learner's Book pg. 128 - Coins, cylindrical objects - Rulers |
- Written assignments
- Class activities
- Oral questions
|
|
| 11 | 3 |
Measurements
|
Volume and Capacity - Relating volume to capacity
|
By the end of the
lesson, the learner
should be able to:
- State the relationship between cm³, m³ and litres - Convert between cm³, m³ and litres - Value the relationship between volume and capacity |
- Make model cube 10 cm × 10 cm × 10 cm - Immerse in water and measure displaced water - Establish: 1,000 cm³ = 1 litre, 1 m³ = 1,000 litres |
What is the relationship between volume and capacity?
|
- Smart Minds Mathematics Learner's Book pg. 130 - Containers, basin - Measuring cylinder |
- Written exercises
- Oral questions
- Observation
|
|
| 11 | 4 |
Measurements
|
Volume and Capacity - Application of volume and capacity
Time, Distance and Speed - Units of measuring time |
By the end of the
lesson, the learner
should be able to:
- Calculate capacity of containers in litres - Solve problems involving volume and capacity - Appreciate the application of volume and capacity in daily life |
- Collect containers of different shapes - Find volume and convert to capacity in litres - Solve problems about tanks, tins and pipes |
Where do we use volume and capacity in daily life?
|
- Smart Minds Mathematics Learner's Book pg. 132
- Various containers - Digital devices - Smart Minds Mathematics Learner's Book pg. 134 - Clock faces - Stopwatches |
- Written assignments
- Class activities
- Oral questions
|
|
| 11 | 5 |
Measurements
|
Time, Distance and Speed - Converting hours and minutes
|
By the end of the
lesson, the learner
should be able to:
- State the relationship between hours and minutes - Convert hours to minutes and minutes to hours - Appreciate the use of time conversions |
- Make clock face using paper cut-out - Move minute hand clockwise to complete one turn (60 minutes) - Establish: 1 hour = 60 minutes |
How do we convert hours to minutes?
|
- Smart Minds Mathematics Learner's Book pg. 136 - Paper clock faces - Stopwatches |
- Written assignments
- Class activities
- Oral questions
|
|
| 12 | 1 |
Measurements
|
Time, Distance and Speed - Converting minutes and seconds
|
By the end of the
lesson, the learner
should be able to:
- State the relationship between minutes and seconds - Convert minutes to seconds and seconds to minutes - Show confidence in converting time units |
- Use stopwatch to observe seconds in different minutes - Establish: 1 minute = 60 seconds - Solve problems about water pumps, walking distances |
How do we convert minutes to seconds?
|
- Smart Minds Mathematics Learner's Book pg. 138 - Stopwatches - Number cards |
- Written exercises
- Oral questions
- Observation
|
|
| 12 | 2 |
Measurements
|
Time, Distance and Speed - Converting hours and seconds
|
By the end of the
lesson, the learner
should be able to:
- State the relationship between hours and seconds - Convert hours to seconds and seconds to hours - Value accuracy in converting time units |
- Fill tables showing hours, minutes and seconds - Establish: 1 hour = 3,600 seconds - Solve problems about assignments, journeys and power saws |
How do we convert hours to seconds?
|
- Smart Minds Mathematics Learner's Book pg. 140 - Calculators - Conversion charts |
- Written assignments
- Class activities
- Oral questions
|
|
| 12 | 3 |
Measurements
|
Time, Distance and Speed - Converting units of distance
Time, Distance and Speed - Speed in km/h |
By the end of the
lesson, the learner
should be able to:
- State the relationship between kilometres and metres - Convert kilometres to metres and metres to kilometres - Appreciate the use of distance conversions |
- Estimate distances to nearby places in kilometres - Convert estimated distances to metres - Establish: 1 km = 1,000 m |
How do we convert kilometres to metres?
|
- Smart Minds Mathematics Learner's Book pg. 142
- Maps - Measuring tapes - Smart Minds Mathematics Learner's Book pg. 144 - Athletics field - Stopwatches |
- Written exercises
- Oral questions
- Observation
|
|
| 12 | 4 |
Measurements
|
Time, Distance and Speed - Speed in m/s
|
By the end of the
lesson, the learner
should be able to:
- Calculate speed in metres per second - Solve problems involving speed in m/s - Value the application of speed in real life |
- Mark 100 m distance in the field - Run 100 m race and record time using stopwatch - Calculate speed in m/s |
What is speed in metres per second?
|
- Smart Minds Mathematics Learner's Book pg. 145 - Measuring tape - Stopwatches |
- Written exercises
- Oral questions
- Observation
|
|
| 12 | 5 |
Measurements
|
Time, Distance and Speed - Converting km/h to m/s and vice versa
|
By the end of the
lesson, the learner
should be able to:
- Explain conversion of speed units - Convert km/h to m/s and m/s to km/h - Appreciate the importance of speed in daily activities |
- Read story of school driver observing traffic rules - Convert distance from km to m, time from hours to seconds - Practice converting speed between km/h and m/s |
How do we convert speed from km/h to m/s?
|
- Smart Minds Mathematics Learner's Book pg. 146 - Conversion charts - Digital devices |
- Written assignments
- Class activities
- Oral questions
|
|
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