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| WK | LSN | STRAND | SUB-STRAND | LESSON LEARNING OUTCOMES | LEARNING EXPERIENCES | KEY INQUIRY QUESTIONS | LEARNING RESOURCES | ASSESSMENT METHODS | REFLECTION |
|---|---|---|---|---|---|---|---|---|---|
| 4 | 1 |
Numbers and Algebra
|
Real Numbers - Odd and even numbers
|
By the end of the
lesson, the learner
should be able to:
- Identify odd and even numbers - Classify numbers as odd or even based on the ones place value - Relate odd and even numbers to real life situations like sharing items equally |
- Measure the height of classmates in centimetres and record in a table - Classify each recorded number as odd or even - Discuss with peers reasons for classification based on the digit in the ones place value |
Why are numbers important?
|
- Mentor Essential Mathematics pg. 1 - Number cards - Charts on odd and even numbers |
- Oral questions
- Written exercises
- Observation
|
|
| 4 | 2 |
Numbers and Algebra
|
Real Numbers - Prime and composite numbers
Real Numbers - Rational and irrational numbers Real Numbers - Rational and irrational numbers |
By the end of the
lesson, the learner
should be able to:
- Define prime and composite numbers - Classify numbers as prime or composite by identifying their factors - Relate prime and composite numbers to grouping items in daily activities |
- List factors of given numbers - Classify numbers based on the number of factors - Discuss how composite numbers help in dividing items into equal groups |
Why are numbers important?
|
- Mentor Essential Mathematics pg. 3
- Factor charts - Number cards - Mentor Essential Mathematics pg. 5 - Digital devices - Number charts - Calculators - Digital resources |
- Oral questions
- Written exercises
- Class activities
|
|
| 4 | 3 |
Numbers and Algebra
|
Real Numbers - Combined operations on rational numbers
|
By the end of the
lesson, the learner
should be able to:
- Perform addition and subtraction of rational numbers - Apply BODMAS rule in combined operations - Relate combined operations to budgeting and shopping calculations |
- Read and interpret case scenarios involving rational numbers - Work out combined operations following BODMAS rule - Discuss real-life situations like calculating total cost of items |
Why are numbers important?
|
- Mentor Essential Mathematics pg. 7
- Calculators - Word problem cards - Mentor Essential Mathematics pg. 8 - Thermometer charts |
- Written exercises
- Class activities
- Portfolio
|
|
| 4 | 4 |
Numbers and Algebra
|
Real Numbers - Reciprocal of numbers
Real Numbers - Application of rational numbers Indices - Powers and bases |
By the end of the
lesson, the learner
should be able to:
- Define the reciprocal of a number - Determine reciprocals using a calculator - Relate reciprocals to calculating time, speed and distance in travel |
- Use calculators with the x⁻¹ button to find reciprocals - Determine reciprocals of whole numbers, decimals and fractions - Discuss how reciprocals help in calculating travel time |
Why are numbers important?
|
- Mentor Essential Mathematics pg. 9
- Scientific calculators - Digital devices - Mentor Essential Mathematics pg. 11 - Word problem cards - Calculators - Mentor Essential Mathematics pg. 13 - Number cards - Charts on indices |
- Practical exercises
- Observation
- Written exercises
|
|
| 4 | 5 |
Numbers and Algebra
|
Indices - Expressing numbers in index form
|
By the end of the
lesson, the learner
should be able to:
- Express whole numbers in simplest index form - Express fractions in index form - Apply index notation to scientific measurements and data |
- Break down numbers into prime factors and express in index form - Express fractions with numerator and denominator in index form - Search for population data and express in index form |
Why are indices important?
|
- Mentor Essential Mathematics pg. 14 - Calculators - Digital resources |
- Written exercises
- Class activities
- Oral questions
|
|
| 5 | 1 |
Numbers and Algebra
|
Indices - Multiplication law
Indices - Division law |
By the end of the
lesson, the learner
should be able to:
- State the multiplication law of indices - Apply the multiplication law to simplify expressions - Connect the multiplication law to calculating areas and volumes |
- Write index numbers in expanded form - Multiply numbers with the same base and add the powers - Work out problems on area using index notation |
How are the laws of indices applied in real life?
|
- Mentor Essential Mathematics pg. 15
- Index law charts - Calculators - Mentor Essential Mathematics pg. 16 |
- Written exercises
- Class activities
- Oral questions
|
|
| 5 | 2 |
Numbers and Algebra
|
Indices - Power of a power
|
By the end of the
lesson, the learner
should be able to:
- State the power of a power law - Apply the law to simplify expressions with powers raised to powers - Apply the law to compound growth calculations |
- Expand expressions with powers of powers - Multiply indices when a power is raised to another power - Discuss applications in compound interest calculations |
How are the laws of indices applied in real life?
|
- Mentor Essential Mathematics pg. 17 - Index law charts - Calculators |
- Written exercises
- Class activities
- Oral questions
|
|
| 5 | 3 |
Numbers and Algebra
|
Indices - Zero index
|
By the end of the
lesson, the learner
should be able to:
- State the zero index law - Apply the zero index to simplify expressions - Understand why any non-zero number raised to power zero equals one |
- Use division law to derive the zero index law - Simplify expressions involving zero index - Verify the zero index law using calculators |
Why are indices important?
|
- Mentor Essential Mathematics pg. 18 - Calculators - Index law charts |
- Oral questions
- Written exercises
- Observation
|
|
| 5 | 4 |
Numbers and Algebra
|
Indices - Applying laws of indices
Indices - Applying laws of indices in numerical computations |
By the end of the
lesson, the learner
should be able to:
- Apply multiple laws of indices in computations - Simplify complex expressions using combined laws - Apply indices to scientific notation and large number calculations |
- Work out computations requiring multiple index laws - Simplify expressions with mixed operations - Use digital resources to explore applications of indices |
How are the laws of indices applied in real life?
|
- Mentor Essential Mathematics pg. 19
- Calculators - Digital devices - Digital resources |
- Written tests
- Class activities
- Portfolio
|
|
| 5 | 5 |
Numbers and Algebra
|
Indices - Problem solving with indices
|
By the end of the
lesson, the learner
should be able to:
- Apply indices to solve practical problems - Work collaboratively to solve index problems - Connect indices to technological applications like data storage |
- Work with peers on practical problems involving indices - Present solutions and discuss different approaches - Research applications of indices in computer memory and data |
Why are indices important?
|
- Mentor Essential Mathematics pg. 20 - Digital devices - Calculators |
- Portfolio
- Observation
- Written tests
|
|
| 6 | 1 |
Numbers and Algebra
|
Quadratic Equations - Formation of algebraic expressions
Quadratic Equations - Formation of algebraic expressions from real life |
By the end of the
lesson, the learner
should be able to:
- Form algebraic expressions from word statements - Use letters to represent unknown quantities - Relate algebraic expressions to real situations like shopping and measurements |
- Read case scenarios and form algebraic expressions - Use letters to represent unknown quantities - Discuss how expressions represent real-life situations |
How are quadratic equations applied in real life?
|
- Mentor Essential Mathematics pg. 21
- Word problem cards - Charts - Mentor Essential Mathematics pg. 22 - Calculators |
- Oral questions
- Written exercises
- Observation
|
|
| 6 | 2 |
Numbers and Algebra
|
Quadratic Equations - Formation of quadratic expressions
|
By the end of the
lesson, the learner
should be able to:
- Identify quadratic expressions - Form quadratic expressions by multiplying binomials - Relate quadratic expressions to calculating areas of rectangles |
- Expand products of two binomials - Identify the structure of quadratic expressions - Discuss how quadratic expressions represent area problems |
How are quadratic equations applied in real life?
|
- Mentor Essential Mathematics pg. 23 - Rectangular cut-outs - Charts |
- Oral questions
- Written exercises
- Observation
|
|
| 6 | 3 |
Numbers and Algebra
|
Quadratic Equations - Quadratic expressions from real life situations
|
By the end of the
lesson, the learner
should be able to:
- Form quadratic expressions from real-life contexts - Interpret word problems to generate quadratic expressions - Apply quadratic expressions to floor plans, gardens and picture frames |
- Read scenarios on area and form quadratic expressions - Draw diagrams to visualize the problems - Work out expressions for paths around gardens and margins |
How are quadratic equations applied in real life?
|
- Mentor Essential Mathematics pg. 24 - Diagram charts - Graph paper |
- Written exercises
- Class activities
- Observation
|
|
| 6 | 4 |
Numbers and Algebra
|
Quadratic Equations - Formation of quadratic equations
Quadratic Equations - Quadratic equations from word problems |
By the end of the
lesson, the learner
should be able to:
- Distinguish between quadratic expressions and equations - Form quadratic equations from given conditions - Apply quadratic equations to problems on area and dimensions |
- Form quadratic equations from area problems - Set up equations where expression equals a given value - Discuss volleyball pitch and room dimension problems |
How are quadratic equations applied in real life?
|
- Mentor Essential Mathematics pg. 25
- Diagram charts - Calculators - Mentor Essential Mathematics pg. 26 - Word problem cards |
- Written exercises
- Class activities
- Oral questions
|
|
| 6 | 5 |
Numbers and Algebra
|
Quadratic Equations - Factorisation of quadratic expressions
|
By the end of the
lesson, the learner
should be able to:
- Identify the coefficients a, b and c in quadratic expressions - Find factor pairs of ac that sum to b - Apply factorisation to expressions of the form x² + bx + c |
- Identify values of a, b and c in quadratic expressions - List factor pairs and identify the pair with required sum - Factorise expressions by splitting the middle term |
How are quadratic equations applied in real life?
|
- Mentor Essential Mathematics pg. 27 - Factor pair charts - Calculators |
- Oral questions
- Written exercises
- Observation
|
|
| 7 | 1 |
Numbers and Algebra
|
Quadratic Equations - Factorisation by grouping
Quadratic Equations - Factorisation of expressions ax² + bx + c |
By the end of the
lesson, the learner
should be able to:
- Factorise quadratic expressions by grouping - Apply the grouping method to various expressions - Verify factorisation by expanding the factors |
- Split the middle term into two terms - Group terms and factorise each group - Extract the common factor and complete factorisation |
How are quadratic equations applied in real life?
|
- Mentor Essential Mathematics pg. 27
- Worked examples charts - Calculators - Mentor Essential Mathematics pg. 28 - Factor charts |
- Written exercises
- Class activities
- Oral questions
|
|
| 7 | 2 |
Numbers and Algebra
|
Quadratic Equations - Solving by factorisation
|
By the end of the
lesson, the learner
should be able to:
- Apply factorisation to solve quadratic equations - Find solutions by equating each factor to zero - Verify solutions by substitution into the original equation |
- Factorise the quadratic expression - Set each factor equal to zero and solve for x - Check solutions by substituting back into the equation |
How are quadratic equations applied in real life?
|
- Mentor Essential Mathematics pg. 28 - Worked examples charts - Calculators |
- Written exercises
- Class activities
- Oral questions
|
|
| 7 | 3 |
Numbers and Algebra
|
Quadratic Equations - Solving equations with repeated roots
|
By the end of the
lesson, the learner
should be able to:
- Solve quadratic equations with repeated roots - Identify perfect square trinomials - Interpret the meaning of repeated roots in context |
- Factorise perfect square trinomials - Solve equations yielding single solutions - Discuss what repeated roots mean in area problems |
How are quadratic equations applied in real life?
|
- Mentor Essential Mathematics pg. 29 - Calculators - Worked examples |
- Oral questions
- Written exercises
- Observation
|
|
| 7 | 4 |
Numbers and Algebra
Measurements and Geometry Measurements and Geometry |
Quadratic Equations - Applications to real life problems
Similarity and Enlargement - Properties of similar figures Similarity and Enlargement - Properties of similar figures |
By the end of the
lesson, the learner
should be able to:
- Apply quadratic equations to solve area problems - Form and solve equations from word problems - Interpret solutions in real-life contexts like room dimensions and garden sizes |
- Form quadratic equations from dimension problems - Solve and interpret solutions - Determine dimensions of rooms, carpets and gardens |
How are quadratic equations applied in real life?
|
- Mentor Essential Mathematics pg. 29
- Diagram charts - Calculators - Mentor Essential Mathematics pg. 31 - Similar objects (containers, shapes) - Rulers and protractors - Digital resources - Mentor Essential Mathematics pg. 33 - Protractors - Rulers - Cut-outs of similar shapes |
- Written tests
- Portfolio
- Class activities
|
|
| 7 | 5 |
Measurements and Geometry
|
Similarity and Enlargement - Centre of enlargement and linear scale factor
Similarity and Enlargement - Linear scale factor Similarity and Enlargement - Drawing images under enlargement |
By the end of the
lesson, the learner
should be able to:
- Determine the centre of enlargement of similar figures - Locate the centre by joining corresponding vertices - Recognize how enlargement is used in projectors and magnifying glasses |
- Trace objects and images on plain paper - Join corresponding vertices and extend lines to find centre of enlargement - Measure distances from centre to object and image - Discuss findings with peers |
How do we locate the centre of enlargement?
|
- Mentor Essential Mathematics pg. 37
- Plain paper - Rulers - Pencils - Mentor Essential Mathematics pg. 38 - Graph paper - Calculators - Mentor Essential Mathematics pg. 40 - Geometrical instruments |
- Observation
- Oral questions
- Written assignments
|
|
| 8 | 1 |
Measurements and Geometry
|
Similarity and Enlargement - Drawing images on Cartesian plane
Similarity and Enlargement - Area scale factor Similarity and Enlargement - Area scale factor calculations |
By the end of the
lesson, the learner
should be able to:
- Draw images on Cartesian plane given scale factor and centre - Plot coordinates of image points - Apply enlargement skills to graphic design and scaling images |
- Plot objects on Cartesian plane - Calculate image coordinates using scale factor - Draw images under enlargement with different centres - Verify accuracy of constructions |
How do we enlarge figures on the Cartesian plane?
|
- Mentor Essential Mathematics pg. 41
- Graph paper - Rulers - Pencils - Mentor Essential Mathematics pg. 42 - Calculators - Rulers - Mentor Essential Mathematics pg. 44 - Digital resources |
- Observation
- Practical work
- Written tests
|
|
| 8 | 2 |
Measurements and Geometry
|
Similarity and Enlargement - Volume scale factor
Similarity and Enlargement - Relating linear, area and volume scale factors |
By the end of the
lesson, the learner
should be able to:
- Determine the volume scale factor of similar objects - Calculate volumes of similar solids - Apply volume scale factor to container sizing and packaging |
- Collect similar containers of different sizes - Calculate volumes of similar cuboids - Determine ratio of volumes - Establish relationship between linear and volume scale factors |
What is the relationship between linear scale factor and volume scale factor?
|
- Mentor Essential Mathematics pg. 43
- Similar containers - Rulers - Calculators - Mentor Essential Mathematics pg. 45 - Manila paper - Calculators - Scissors |
- Observation
- Oral questions
- Written assignments
|
|
| 8 |
MID-TERM BREAK |
||||||||
| 9 | 1 |
Measurements and Geometry
|
Similarity and Enlargement - Application to area
|
By the end of the
lesson, the learner
should be able to:
- Apply linear scale factor to find areas of similar figures - Solve problems on area using scale factors - Connect similarity concepts to architectural blueprints and scale models |
- Calculate areas of similar figures using scale factors - Solve word problems involving area scale factor - Use digital devices to explore applications - Present solutions to peers |
How do we apply area scale factor to solve problems?
|
- Mentor Essential Mathematics pg. 46 - Calculators - Digital resources - Reference books |
- Observation
- Oral questions
- Written assignments
|
|
| 9 | 2 |
Measurements and Geometry
|
Similarity and Enlargement - Application to volume
Reflection - Lines of symmetry in plane figures |
By the end of the
lesson, the learner
should be able to:
- Apply linear scale factor to find volumes of similar objects - Solve problems on volume using scale factors - Use similarity in estimating storage capacities and tank volumes |
- Calculate volumes of similar solids using scale factors - Solve word problems involving volume scale factor - Complete project on making similar containers - Document processes and take pictures |
How do we apply volume scale factor to solve problems?
|
- Mentor Essential Mathematics pg. 47
- Calculators - Manila paper - Locally available materials - Mentor Essential Mathematics pg. 50 - Paper cut-outs - Scissors - Various 2D objects |
- Observation
- Project assessment
- Written tests
|
|
| 9 | 3 |
Measurements and Geometry
|
Reflection - Lines of symmetry in regular polygons
Reflection - Properties of reflection Reflection - Drawing images given object and mirror line |
By the end of the
lesson, the learner
should be able to:
- Determine lines of symmetry in regular polygons - State that regular polygons have lines of symmetry equal to number of sides - Connect symmetry to design patterns in fabric and architecture |
- Draw regular polygons and identify lines of symmetry - Trace diagrams and draw lines of symmetry - State number of lines of symmetry for various alphabets - Discuss patterns observed |
What is the relationship between sides and lines of symmetry in regular polygons?
|
- Mentor Essential Mathematics pg. 52
- Rulers - Protractors - Plain paper - Mentor Essential Mathematics pg. 53 - Plane mirrors - Mentor Essential Mathematics pg. 54 - Plain paper - Set squares |
- Observation
- Oral questions
- Written tests
|
|
| 9 | 4 |
Measurements and Geometry
|
Reflection - Reflection along x = 0
Reflection - Reflection along y = 0 Reflection - Reflection along y = x |
By the end of the
lesson, the learner
should be able to:
- Draw an image after reflection along the line x = 0 - Determine coordinates of image points when reflected along y-axis - Connect reflection to creating symmetric designs and logos |
- Plot triangles on Cartesian plane - Reflect points along line x = 0 - Record coordinates of object and image points - Observe pattern in coordinates after reflection |
What happens to coordinates when reflecting along x = 0?
|
- Mentor Essential Mathematics pg. 56
- Graph paper - Rulers - Pencils - Mentor Essential Mathematics pg. 58 - Calculators - Mentor Essential Mathematics pg. 57 |
- Observation
- Oral questions
- Written assignments
|
|
| 9 | 5 |
Measurements and Geometry
|
Reflection - Drawing mirror line given object and image on plane surface
Reflection - Drawing mirror line on Cartesian plane |
By the end of the
lesson, the learner
should be able to:
- Draw the mirror line given an object and its image on a plane surface - Construct perpendicular bisectors to locate mirror line - Apply the concept to determining mirror placement in interior design |
- Trace objects and their images on plain paper - Join corresponding points (object to image) - Construct perpendicular bisector of the line segment - Verify that perpendicular bisector is the mirror line |
How do we find the mirror line given object and image?
|
- Mentor Essential Mathematics pg. 60
- Plain paper - Rulers - Compasses - Mentor Essential Mathematics pg. 61 - Graph paper |
- Observation
- Practical work
- Written tests
|
|
| 10 |
EXAMINATION |
||||||||
| 10 | 4 |
Measurements and Geometry
|
Reflection - Application in real life situations
Trigonometry - Identifying sides of a right-angled triangle |
By the end of the
lesson, the learner
should be able to:
- Apply reflection in real-life situations - Solve problems involving reflection - Use reflection concepts in understanding driving mirrors and road safety |
- Discuss uses of reflection in real life - Solve problems involving town layouts and architectural designs - Work with peers to apply reflection to practical situations - Present findings to class |
How is reflection used in day-to-day activities?
|
- Mentor Essential Mathematics pg. 63
- Graph paper - Rulers - Digital resources - Mentor Essential Mathematics pg. 65 - Ladders - Protractors - Rulers |
- Observation
- Oral questions
- Written tests
|
|
| 10 | 5 |
Measurements and Geometry
|
Trigonometry - Tangent ratio
Trigonometry - Applications of tangent ratio Trigonometry - Sine ratio |
By the end of the
lesson, the learner
should be able to:
- Determine the tangent of acute angles in a right-angled triangle - Calculate tangent ratios from given measurements - Apply tangent ratio in calculating heights and distances in surveying |
- Measure opposite and adjacent sides in similar triangles - Calculate ratio of opposite to adjacent for angle θ - Record ratios and observe that they are constant - Work out tangent of angles in various triangles |
What is the tangent of an angle?
|
- Mentor Essential Mathematics pg. 67
- Rulers - Protractors - Calculators - Mentor Essential Mathematics pg. 68 - Calculators - Reference books - Mentor Essential Mathematics pg. 69 |
- Observation
- Oral questions
- Written tests
|
|
| 11 | 1 |
Measurements and Geometry
|
Trigonometry - Applications of sine ratio
Trigonometry - Cosine ratio Trigonometry - Applications of cosine ratio |
By the end of the
lesson, the learner
should be able to:
- Apply sine ratio to solve problems - Calculate sine from real-life situations - Use sine in determining heights of slides and inclined structures |
- Calculate sine of angles formed by ladders and ground - Work out sine of angles in roof truss designs - Solve problems involving playground slides - Present solutions to peers |
How is sine ratio applied in real life?
|
- Mentor Essential Mathematics pg. 71
- Calculators - Rulers - Digital resources - Mentor Essential Mathematics pg. 72 - Protractors - Calculators - Mentor Essential Mathematics pg. 74 - Reference books |
- Observation
- Oral questions
- Written assignments
|
|
| 11 | 2 |
Measurements and Geometry
|
Trigonometry - Sines and cosines of complementary angles
Trigonometry - Solving equations involving complementary angles |
By the end of the
lesson, the learner
should be able to:
- Relate sines and cosines of complementary angles - Use calculator to find sines and cosines of complementary angles - Apply complementary angle relationships to solving equations |
- Discuss meaning of complementary angles - Use calculator to complete table of sin θ and cos(90°-θ) - Observe that sin α = cos(90°-α) - Verify relationship using different angle pairs |
What is the relationship between sine and cosine of complementary angles?
|
- Mentor Essential Mathematics pg. 75
- Scientific calculators - Reference books - Digital resources - Mentor Essential Mathematics pg. 76 - Exercise books - Reference books |
- Observation
- Oral questions
- Written tests
|
|
| 11 | 3 |
Measurements and Geometry
|
Trigonometry - Making a clinometer
Trigonometry - Angle of elevation |
By the end of the
lesson, the learner
should be able to:
- Make a simple clinometer using locally available materials - Use the clinometer to measure angles - Apply clinometer skills to measuring heights of buildings and trees |
- Gather manila paper, protractor, string and weight - Trace protractor's curved edge and mark degrees - Attach straw along straight edge - Tie string with weight at centre point |
How do we make and use a clinometer?
|
- Mentor Essential Mathematics pg. 77
- Manila paper - Blackboard protractor - String and weight - Mentor Essential Mathematics pg. 79 - Clinometers - Tape measures - Calculators |
- Observation
- Practical work
- Oral questions
|
|
| 11 | 4 |
Measurements and Geometry
|
Trigonometry - Problems on angle of elevation
|
By the end of the
lesson, the learner
should be able to:
- Solve problems involving angles of elevation - Apply trigonometric ratios to real-life situations - Calculate heights of towers, monuments and tall structures |
- Draw sketches from word problems - Identify given information and required values - Apply appropriate trigonometric ratios - Calculate heights and distances |
How do we solve problems on angles of elevation?
|
- Mentor Essential Mathematics pg. 80 - Calculators - Rulers - Exercise books |
- Observation
- Oral questions
- Written assignments
|
|
| 11 | 5 |
Measurements and Geometry
|
Trigonometry - Angle of depression
|
By the end of the
lesson, the learner
should be able to:
- Apply trigonometric ratios to angles of depression - Calculate distances using angles of depression - Use angle of depression in aviation and marine navigation |
- Discuss meaning of angle of depression - Draw diagrams showing angles of depression - Apply trigonometric ratios to find distances - Solve problems involving observers on cliffs and buildings |
How do we use angles of depression to find distances?
|
- Mentor Essential Mathematics pg. 80 - Calculators - Rulers - Digital resources |
- Observation
- Oral questions
- Written tests
|
|
| 12 | 1 |
Measurements and Geometry
|
Trigonometry - Application in real life situations
Area of Polygons - Area of triangle given two sides and an included angle Area of Polygons - Problems on area of triangle |
By the end of the
lesson, the learner
should be able to:
- Solve combined problems on angles of elevation and depression - Apply trigonometry to various real-life scenarios - Use trigonometry in determining distances between ships, aircraft heights and building measurements |
- Solve problems involving two ships viewed from cliff - Calculate distances and heights in combined scenarios - Use digital resources to explore more applications - Present solutions to class |
How is trigonometry used in real life?
|
- Mentor Essential Mathematics pg. 81
- Calculators - Digital resources - Reference books - Mentor Essential Mathematics pg. 84 - Rulers - Protractors - Calculators - Mentor Essential Mathematics pg. 85 - Exercise books |
- Observation
- Oral questions
- Written assignments
|
|
| 12 | 2 |
Measurements and Geometry
|
Area of Polygons - Heron's Formula
Area of Polygons - Problems using Heron's Formula Area of Polygons - Area of a rhombus |
By the end of the
lesson, the learner
should be able to:
- Determine the area of a triangle given three sides using Heron's Formula - Calculate semi-perimeter of triangles - Apply Heron's formula to irregular triangular plots and badges |
- Draw right-angled triangle with given measurements - Calculate perimeter and semi-perimeter - Apply Heron's formula: √[s(s-a)(s-b)(s-c)] - Compare with area calculated using other methods |
How do we find the area of a triangle using Heron's Formula?
|
- Mentor Essential Mathematics pg. 86
- Calculators - Rulers - Scientific calculators - Mentor Essential Mathematics pg. 87 - Exercise books - Reference books - Mentor Essential Mathematics pg. 88 - Protractors - Calculators |
- Observation
- Oral questions
- Written assignments
|
|
| 12 | 3 |
Measurements and Geometry
|
Area of Polygons - Area of rhombus given side and angle
Area of Polygons - Area of a parallelogram Area of Polygons - Area of parallelogram using ab sin θ |
By the end of the
lesson, the learner
should be able to:
- Calculate area of rhombus given side and included angle - Apply the formula Area = a² sin θ - Use rhombus area calculations for badges, logos and decorations |
- Draw rhombus-shaped badge with given side and angle - Calculate lengths of diagonals using trigonometry - Work out area using ½ × d₁ × d₂ - Verify using formula a² sin θ |
How do we find area of rhombus given side and angle?
|
- Mentor Essential Mathematics pg. 89
- Calculators - Rulers - Protractors - Mentor Essential Mathematics pg. 92 - Protractors - Calculators - Mentor Essential Mathematics pg. 94 - Exercise books |
- Observation
- Oral questions
- Written tests
|
|
| 12 | 4 |
Measurements and Geometry
|
Area of Polygons - Area of a regular pentagon
|
By the end of the
lesson, the learner
should be able to:
- Determine the area of a regular pentagon - Divide pentagon into triangles and calculate total area - Apply pentagon area to flower bed designs and pizza box lids |
- Draw regular pentagon and divide into 5 triangles - Measure radius from centre to vertex - Calculate area of one triangle - Multiply by 5 to get total area |
How do we find the area of a regular pentagon?
|
- Mentor Essential Mathematics pg. 95 - Rulers - Protractors - Calculators |
- Observation
- Oral questions
- Written assignments
|
|
| 12 | 5 |
Measurements and Geometry
|
Area of Polygons - Problems on area of pentagon
Area of Polygons - Area of a regular hexagon Area of Polygons - Application in real life situations |
By the end of the
lesson, the learner
should be able to:
- Solve problems on area of regular pentagons - Calculate areas of pentagon-shaped objects - Apply pentagon area to trampoline covers and decorative designs |
- Calculate area of pentagon-shaped flower beds - Work out area of pizza box lids - Solve problems involving pentagon-shaped objects - Present solutions to class |
How is area of pentagon applied in real life?
|
- Mentor Essential Mathematics pg. 97
- Calculators - Exercise books - Digital resources - Mentor Essential Mathematics pg. 96 - Rulers - Protractors - Calculators - Mentor Essential Mathematics pg. 98 - Digital resources - Reference books |
- Observation
- Oral questions
- Written tests
|
|
| 13 |
CLOSING FOR HOLIDAY |
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Your Name Comes Here