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SCHEME OF WORK
Essential Mathematics
Grade 10 2026
TERM II
School


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WK LSN STRAND SUB-STRAND LESSON LEARNING OUTCOMES LEARNING EXPERIENCES KEY INQUIRY QUESTIONS LEARNING RESOURCES ASSESSMENT METHODS REFLECTION
2 1
Measurements and Geometry
Reflection - Determining mirror line
By the end of the lesson, the learner should be able to:
- Draw mirror line given object and image
- Apply perpendicular bisector method
- Show accuracy in constructing mirror lines
- Identify relationship between object and image points
- Draw perpendicular bisectors to find mirror line
- Verify mirror line by reflection
- Work in groups to practice construction
How do we find the mirror line when given an object and its image?
- Essential Mathematics Grade 10 Learner's Book
- Rulers
- Compasses
- Drawing tools
- Graph papers
- Rating scale - Class activities - Observation
2 2
Measurements and Geometry
Reflection - Successive reflections
By the end of the lesson, the learner should be able to:
- Perform successive reflections
- Analyze results of successive reflections
- Appreciate the relationship between reflections and other transformations
- Reflect objects in two parallel mirror lines
- Reflect objects in two intersecting mirror lines
- Compare successive reflections to single transformations
- Work with peers to explore patterns
What transformation results from successive reflections?
- Essential Mathematics Grade 10 Learner's Book
- Graph papers
- Rulers
- Drawing tools
- Digital devices
- Class written tests - Portfolio - Oral questions
2 3
Measurements and Geometry
Reflection - Applications of reflection
By the end of the lesson, the learner should be able to:
- Apply reflection in real-life contexts
- Solve problems involving reflection
- Value the importance of reflection in daily life
- Discuss uses of reflection in design and architecture
- Solve word problems involving reflection
- Explore reflection using digital resources
- Present findings on applications of reflection
How is reflection used in real life?
- Essential Mathematics Grade 10 Learner's Book
- Digital resources
- Reference materials
- Drawing tools
- Real-life examples
- Projects - Class activities - Rating scale
2 4
Measurements and Geometry
Reflection - Problem solving
By the end of the lesson, the learner should be able to:
- Solve complex problems involving reflection
- Apply reflection concepts in various contexts
- Demonstrate mastery of reflection concepts
- Solve challenging problems on reflection
- Work in groups to tackle multi-step problems
- Apply reflection to design symmetrical patterns
- Share solutions with class
How can we use reflection to solve complex problems?
- Essential Mathematics Grade 10 Learner's Book
- Graph papers
- Drawing tools
- Calculators
- Problem scenarios
- Class written tests - Portfolio - Observation
2 5
Measurements and Geometry
Trigonometry - Pythagorean theorem
By the end of the lesson, the learner should be able to:
- State the Pythagorean theorem
- Apply Pythagorean theorem to find unknown sides
- Appreciate the theorem in solving real-life problems
- Verify Pythagorean theorem using right-angled triangles
- Calculate unknown sides using the theorem
- Solve problems involving right-angled triangles
- Work with peers to practice applications
What is the relationship between sides of a right-angled triangle?
- Essential Mathematics Grade 10 Learner's Book
- Rulers
- Calculators
- Geometrical set
- Right-angled triangle models
- Observation - Oral questions - Class activities
3 1
Measurements and Geometry
Trigonometry - Trigonometric ratios
By the end of the lesson, the learner should be able to:
- Define sine, cosine and tangent ratios
- Identify opposite, adjacent and hypotenuse sides
- Show interest in learning trigonometric ratios
- Label sides of right-angled triangles
- Define trigonometric ratios using sides
- Calculate trigonometric ratios from given triangles
- Discuss with peers the meaning of each ratio
What are trigonometric ratios?
- Essential Mathematics Grade 10 Learner's Book
- Rulers
- Calculators
- Right-angled triangle models
- Drawing tools
- Class activities - Written assignments - Observation
3 2
Measurements and Geometry
Trigonometry - Trigonometric ratios
By the end of the lesson, the learner should be able to:
- Define sine, cosine and tangent ratios
- Identify opposite, adjacent and hypotenuse sides
- Show interest in learning trigonometric ratios
- Label sides of right-angled triangles
- Define trigonometric ratios using sides
- Calculate trigonometric ratios from given triangles
- Discuss with peers the meaning of each ratio
What are trigonometric ratios?
- Essential Mathematics Grade 10 Learner's Book
- Rulers
- Calculators
- Right-angled triangle models
- Drawing tools
- Class activities - Written assignments - Observation
3 3
Measurements and Geometry
Trigonometry - Sine of acute angles
By the end of the lesson, the learner should be able to:
- Calculate sine of acute angles
- Use sine ratio to find unknown sides
- Appreciate the application of sine ratio
- Calculate sine ratios from right-angled triangles
- Use calculators to find sine values
- Solve problems involving sine ratio
- Work in groups to practice calculations
How do we use the sine ratio?
- Essential Mathematics Grade 10 Learner's Book
- Scientific calculators
- Rulers
- Drawing tools
- Geometrical set
- Class written tests - Oral questions - Class activities
3 4
Measurements and Geometry
Trigonometry - Cosine of acute angles
By the end of the lesson, the learner should be able to:
- Calculate cosine of acute angles
- Use cosine ratio to find unknown sides
- Show precision in using cosine ratio
- Calculate cosine ratios from right-angled triangles
- Use calculators to find cosine values
- Solve problems involving cosine ratio
- Compare sine and cosine ratios
How do we use the cosine ratio?
- Essential Mathematics Grade 10 Learner's Book
- Scientific calculators
- Rulers
- Drawing tools
- Right-angled triangle models
- Class activities - Written assignments - Observation
3 5
Measurements and Geometry
Trigonometry - Tangent of acute angles
By the end of the lesson, the learner should be able to:
- Calculate tangent of acute angles
- Use tangent ratio to find unknown sides
- Appreciate the relationship between trigonometric ratios
- Calculate tangent ratios from right-angled triangles
- Use calculators to find tangent values
- Solve problems involving tangent ratio
- Work with peers to explore relationships
How do we use the tangent ratio?
- Essential Mathematics Grade 10 Learner's Book
- Scientific calculators
- Rulers
- Drawing tools
- Geometrical set
- Class written tests - Rating scale - Oral questions
4 1
Measurements and Geometry
Trigonometry - Complementary angles
By the end of the lesson, the learner should be able to:
- Define complementary angles
- Relate sine and cosine of complementary angles
- Show interest in exploring angle relationships
- Identify complementary angles in right-angled triangles
- Verify relationships between sine and cosine of complementary angles
- Calculate trigonometric ratios of complementary angles
- Discuss patterns observed with peers
What is the relationship between sine and cosine of complementary angles?
- Essential Mathematics Grade 10 Learner's Book
- Scientific calculators
- Rulers
- Drawing tools
- Mathematical tables
- Class activities - Observation - Written assignments
4 2
Measurements and Geometry
Trigonometry - Finding angles
By the end of the lesson, the learner should be able to:
- Use inverse trigonometric functions
- Calculate angles from given trigonometric ratios
- Appreciate the use of inverse functions
- Use calculators to find angles from sine, cosine and tangent values
- Solve problems requiring angle calculation
- Work in groups to practice finding angles
- Verify answers using different methods
How do we find angles using trigonometric ratios?
- Essential Mathematics Grade 10 Learner's Book
- Scientific calculators
- Rulers
- Drawing tools
- Geometrical set
- Class written tests - Projects - Oral questions
4 3
Measurements and Geometry
Trigonometry - Angles of elevation
By the end of the lesson, the learner should be able to:
- Define angle of elevation
- Apply trigonometric ratios to angles of elevation
- Show interest in solving practical problems
- Draw and identify angles of elevation in diagrams
- Solve problems involving angles of elevation
- Measure angles of elevation in the school compound
- Work with peers on practical applications
What is an angle of elevation and how is it used?
- Essential Mathematics Grade 10 Learner's Book
- Scientific calculators
- Clinometers
- Measuring tapes
- Drawing tools
- Class activities - Rating scale - Observation
4 4
Measurements and Geometry
Trigonometry - Angles of depression
By the end of the lesson, the learner should be able to:
- Define angle of depression
- Apply trigonometric ratios to angles of depression
- Appreciate the relationship between angles of elevation and depression
- Draw and identify angles of depression in diagrams
- Solve problems involving angles of depression
- Compare angles of elevation and depression
- Work in groups to solve practical problems
What is an angle of depression and how does it relate to angle of elevation?
- Essential Mathematics Grade 10 Learner's Book
- Scientific calculators
- Drawing tools
- Rulers
- Problem scenarios
- Class written tests - Written assignments - Oral questions
4 5
Measurements and Geometry
Trigonometry - Bearings
By the end of the lesson, the learner should be able to:
- Use trigonometry to solve bearing problems
- Calculate distances and angles in navigation
- Show precision in solving bearing problems
- Draw bearing diagrams accurately
- Apply trigonometric ratios to bearing problems
- Calculate distances using bearings and trigonometry
- Work with peers to solve navigation problems
How do we use trigonometry in solving bearing problems?
- Essential Mathematics Grade 10 Learner's Book
- Scientific calculators
- Protractors
- Rulers
- Compass
- Class activities - Projects - Rating scale
5 1
Measurements and Geometry
Trigonometry - Three-dimensional problems
By the end of the lesson, the learner should be able to:
- Solve trigonometric problems in three dimensions
- Draw diagrams for 3D problems
- Appreciate applications in real-world contexts
- Identify right-angled triangles in 3D figures
- Solve problems involving cuboids and pyramids
- Work in groups to tackle 3D problems
- Use models to visualize 3D situations
How do we apply trigonometry to three-dimensional problems?
- Essential Mathematics Grade 10 Learner's Book
- Scientific calculators
- 3D models
- Drawing tools
- Rulers
- Class written tests - Observation - Oral questions
5 2
Measurements and Geometry
Trigonometry - Area using sine
By the end of the lesson, the learner should be able to:
- State the formula for area using sine
- Calculate area of triangle given two sides and included angle
- Appreciate alternative methods of finding area
- Derive the formula for area using sine ratio
- Calculate areas of triangles using the formula
- Compare with traditional area formula
- Work with peers to solve problems
How can we find the area of a triangle using trigonometry?
- Essential Mathematics Grade 10 Learner's Book
- Scientific calculators
- Rulers
- Protractors
- Drawing tools
- Class activities - Written assignments - Projects
5 3
Measurements and Geometry
Trigonometry - Heron's formula
By the end of the lesson, the learner should be able to:
- State Heron's formula
- Calculate area of triangle using three sides
- Show accuracy in using Heron's formula
- Learn Heron's formula for area calculation
- Calculate semi-perimeter of triangles
- Apply Heron's formula to find areas
- Work in groups to practice calculations
How do we find the area of a triangle when given all three sides?
- Essential Mathematics Grade 10 Learner's Book
- Scientific calculators
- Rulers
- Drawing tools
- Triangle models
- Class written tests - Rating scale - Oral questions
5

Cat 1

6 1
Measurements and Geometry
Trigonometry - Applications
By the end of the lesson, the learner should be able to:
- Apply trigonometry in real-life situations
- Solve complex problems using trigonometric concepts
- Value the importance of trigonometry in various fields
- Solve word problems involving trigonometry
- Explore uses in surveying and navigation
- Use digital resources to research applications
- Present findings on real-world uses
How is trigonometry used in real life?
- Essential Mathematics Grade 10 Learner's Book
- Scientific calculators
- Digital resources
- Reference materials
- Real-world problem scenarios
- Projects - Portfolio - Class activities
6 2
Measurements and Geometry
Trigonometry - Applications
By the end of the lesson, the learner should be able to:
- Apply trigonometry in real-life situations
- Solve complex problems using trigonometric concepts
- Value the importance of trigonometry in various fields
- Solve word problems involving trigonometry
- Explore uses in surveying and navigation
- Use digital resources to research applications
- Present findings on real-world uses
How is trigonometry used in real life?
- Essential Mathematics Grade 10 Learner's Book
- Scientific calculators
- Digital resources
- Reference materials
- Real-world problem scenarios
- Projects - Portfolio - Class activities
6 3
Measurements and Geometry
Area of Polygons - Basic area formulas
By the end of the lesson, the learner should be able to:
- Recall area formulas for basic shapes
- Calculate areas of rectangles, squares and triangles
- Appreciate the foundation for complex shapes
- Calculate areas of rectangles and squares
- Calculate areas of triangles using base and height
- Work with peers to solve area problems
- Discuss applications of area in daily life
Why do we need to find areas of shapes?
- Essential Mathematics Grade 10 Learner's Book
- Rulers
- Graph papers
- Drawing tools
- Shape models
- Observation - Oral questions - Class activities
6 4
Measurements and Geometry
Area of Polygons - Area of parallelogram
By the end of the lesson, the learner should be able to:
- Derive the formula for area of parallelogram
- Calculate area of parallelogram
- Show precision in measurements
- Cut and rearrange parallelogram to form rectangle
- Derive area formula from rectangle
- Calculate areas of parallelograms
- Work in groups to measure and calculate
How is the area of a parallelogram related to a rectangle?
- Essential Mathematics Grade 10 Learner's Book
- Rulers
- Paper for cutting
- Drawing tools
- Parallelogram models
- Class activities - Written assignments - Rating scale
6 5
Measurements and Geometry
Area of Polygons - Area of rhombus
By the end of the lesson, the learner should be able to:
- State the formula for area of rhombus
- Calculate area using diagonals
- Appreciate properties of rhombus
- Measure diagonals of rhombus
- Apply formula to calculate area
- Compare different methods of finding area
- Work with peers to solve problems
How do we find the area of a rhombus?
- Essential Mathematics Grade 10 Learner's Book
- Rulers
- Drawing tools
- Rhombus models
- Calculators
- Class written tests - Observation - Oral questions
7 1
Measurements and Geometry
Area of Polygons - Area of trapezium
By the end of the lesson, the learner should be able to:
- Derive formula for area of trapezium
- Calculate area of trapezium
- Show accuracy in calculations
- Partition trapezium into triangles and rectangles
- Derive area formula
- Calculate areas of trapeziums
- Work in groups to practice calculations
How do we calculate the area of a trapezium?
- Essential Mathematics Grade 10 Learner's Book
- Rulers
- Graph papers
- Drawing tools
- Trapezium models
- Class activities - Projects - Written assignments
7 2
Measurements and Geometry
Area of Polygons - Area of kite
By the end of the lesson, the learner should be able to:
- State the formula for area of kite
- Calculate area using diagonals
- Appreciate the relationship between kite and rhombus
- Identify properties of kites
- Measure diagonals and calculate area
- Compare area formulas of kite and rhombus
- Work with peers to explore patterns
How is the area of a kite calculated?
- Essential Mathematics Grade 10 Learner's Book
- Rulers
- Drawing tools
- Kite models
- Calculators
- Class written tests - Rating scale - Oral questions
7 3
Measurements and Geometry
Area of Polygons - Area of regular pentagon
By the end of the lesson, the learner should be able to:
- Partition regular pentagon into triangles
- Calculate area of regular pentagon
- Show interest in finding areas of regular polygons
- Divide regular pentagon into triangles
- Calculate area of each triangle
- Sum areas to find total area
- Work in groups to explore different methods
How do we find the area of a regular pentagon?
- Essential Mathematics Grade 10 Learner's Book
- Rulers
- Protractors
- Drawing tools
- Pentagon models
- Class activities - Observation - Projects
7 4
Measurements and Geometry
Area of Polygons - Area of regular hexagon
By the end of the lesson, the learner should be able to:
- Partition regular hexagon into triangles
- Calculate area of regular hexagon
- Appreciate patterns in regular polygons
- Divide regular hexagon into triangles
- Calculate area using triangulation method
- Explore alternative methods
- Work with peers to solve problems
How do we calculate the area of a regular hexagon?
- Essential Mathematics Grade 10 Learner's Book
- Rulers
- Protractors
- Drawing tools
- Hexagon models
- Class written tests - Portfolio - Written assignments
7 5
Measurements and Geometry
Area of Polygons - Composite shapes
By the end of the lesson, the learner should be able to:
- Identify component shapes in composite figures
- Calculate areas of composite shapes
- Show accuracy in area calculations
- Break down composite shapes into basic shapes
- Calculate area of each component
- Sum or subtract areas as appropriate
- Work in groups to tackle complex shapes
How do we find the area of irregular shapes?
- Essential Mathematics Grade 10 Learner's Book
- Rulers
- Graph papers
- Drawing tools
- Calculators
- Class activities - Rating scale - Observation
8

Mid term exams and mid term break

9 1
Measurements and Geometry
Area of Polygons - Problem solving
By the end of the lesson, the learner should be able to:
- Solve word problems involving areas of polygons
- Apply area concepts to real-life situations
- Demonstrate mastery of area calculations
- Solve contextual problems on areas
- Work on problems involving costs and measurements
- Apply formulas to practical situations
- Present solutions to class
How can we apply area concepts to solve real problems?
- Essential Mathematics Grade 10 Learner's Book
- Calculators
- Drawing tools
- Problem scenarios
- Reference materials
- Class written tests - Projects - Portfolio
9 2
Measurements and Geometry
Area of Polygons - Applications
By the end of the lesson, the learner should be able to:
- Apply area concepts in construction and design
- Solve problems involving flooring and painting
- Value the importance of area in daily life
- Calculate materials needed for flooring
- Estimate paint required for surfaces
- Work on design projects using area concepts
- Share findings with peers
How is knowledge of area used in construction and design?
- Essential Mathematics Grade 10 Learner's Book
- Calculators
- Real-world scenarios
- Digital resources
- Drawing tools
- Class activities - Projects - Rating scale
9 3
Measurements and Geometry
Area of Polygons - Applications
By the end of the lesson, the learner should be able to:
- Apply area concepts in construction and design
- Solve problems involving flooring and painting
- Value the importance of area in daily life
- Calculate materials needed for flooring
- Estimate paint required for surfaces
- Work on design projects using area concepts
- Share findings with peers
How is knowledge of area used in construction and design?
- Essential Mathematics Grade 10 Learner's Book
- Calculators
- Real-world scenarios
- Digital resources
- Drawing tools
- Class activities - Projects - Rating scale
9 4
Measurements and Geometry
Area of Part of Circle - Circle properties
By the end of the lesson, the learner should be able to:
- Define terms related to circles
- Calculate circumference and area of circles
- Show interest in exploring parts of circles
- Review definitions of radius, diameter, chord
- Calculate circumference and area of circles
- Identify sectors and segments
- Work with peers to measure circular objects
What are the basic properties of a circle?
- Essential Mathematics Grade 10 Learner's Book
- Compasses
- Rulers
- Circular objects
- Calculators
- Observation - Oral questions - Class activities
9 5
Measurements and Geometry
Area of Part of Circle - Arc length
By the end of the lesson, the learner should be able to:
- Define arc and arc length
- Calculate arc length given radius and angle
- Appreciate the relationship between arc and circumference
- Identify arcs in circles
- Derive formula for arc length
- Calculate arc lengths in different circles
- Work in groups to solve problems
How do we calculate the length of an arc?
- Essential Mathematics Grade 10 Learner's Book
- Compasses
- Rulers
- Protractors
- Calculators
- Class activities - Written assignments - Rating scale
10 1
Measurements and Geometry
Area of Part of Circle - Area of sector
By the end of the lesson, the learner should be able to:
- Define a sector
- Calculate area of sector
- Show precision in sector calculations
- Identify sectors in circles
- Derive formula for area of sector
- Calculate areas of sectors with different angles
- Work with peers to practice calculations
How do we find the area of a sector?
- Essential Mathematics Grade 10 Learner's Book
- Compasses
- Rulers
- Protractors
- Calculators
- Class written tests - Observation - Oral questions
10 2
Measurements and Geometry
Area of Part of Circle - Area of segment
By the end of the lesson, the learner should be able to:
- Define a segment
- Calculate area of segment
- Appreciate the relationship between sector and segment
- Identify segments in circles
- Calculate area of segment by subtracting triangle from sector
- Solve problems involving segments
- Work in groups to explore different cases
How do we calculate the area of a segment?
- Essential Mathematics Grade 10 Learner's Book
- Compasses
- Rulers
- Drawing tools
- Calculators
- Class activities - Projects - Written assignments
10 3
Measurements and Geometry
Area of Part of Circle - Minor and major parts
By the end of the lesson, the learner should be able to:
- Distinguish between minor and major sectors
- Calculate areas of both minor and major parts
- Show accuracy in identifying and calculating
- Identify minor and major sectors and segments
- Calculate areas of both types
- Compare minor and major areas
- Work with peers to solve problems
What is the difference between minor and major sectors?
- Essential Mathematics Grade 10 Learner's Book
- Compasses
- Rulers
- Drawing tools
- Calculators
- Class written tests - Rating scale - Observation
10 4
Measurements and Geometry
Area of Part of Circle - Applications
By the end of the lesson, the learner should be able to:
- Apply area of sectors and segments to real problems
- Solve contextual problems involving parts of circles
- Value the importance of circle parts in design
- Solve problems on pizza slices, pie charts
- Calculate areas for design purposes
- Work on problems involving wheels and gears
- Present findings to class
How are sectors and segments used in real life?
- Essential Mathematics Grade 10 Learner's Book
- Calculators
- Real-world examples
- Digital resources
- Drawing tools
- Class activities - Projects - Portfolio
10 5
Measurements and Geometry
Area of Part of Circle - Problem solving
By the end of the lesson, the learner should be able to:
- Solve complex problems involving parts of circles
- Apply multiple concepts in single problems
- Demonstrate mastery of circle area concepts
- Solve challenging word problems
- Work on problems requiring multiple steps
- Apply concepts to practical scenarios
- Share solutions with peers
How can we use our knowledge of circle parts to solve complex problems?
- Essential Mathematics Grade 10 Learner's Book
- Calculators
- Problem scenarios
- Drawing tools
- Graph papers
- Class written tests - Portfolio - Rating scale
11 1
Measurements and Geometry
Surface Area of Solids - 3D shapes review
By the end of the lesson, the learner should be able to:
- Identify common 3D shapes
- Name parts of 3D solids
- Show interest in exploring surface areas
- Identify cubes, cuboids, cylinders in environment
- Name faces, edges, vertices of solids
- Handle models of 3D shapes
- Discuss properties with peers
What are the properties of common 3D shapes?
- Essential Mathematics Grade 10 Learner's Book
- Models of solids
- Rulers
- Drawing tools
- Geometrical set
- Observation - Oral questions - Class activities
11 2
Measurements and Geometry
Surface Area of Solids - Surface area of cone
By the end of the lesson, the learner should be able to:
- Identify parts of a cone
- Calculate surface area of cone
- Show precision in measurements
- Make models of cones from nets
- Identify curved surface and base
- Derive formula for surface area
- Calculate surface areas of different cones
How do we find the surface area of a cone?
- Essential Mathematics Grade 10 Learner's Book
- Cone models
- Paper for nets
- Rulers
- Calculators
- Class activities - Projects - Written assignments
11 3
Measurements and Geometry
Surface Area of Solids - Surface area of pyramid
By the end of the lesson, the learner should be able to:
- Identify types of pyramids
- Calculate surface area of pyramids
- Appreciate the relationship between net and surface area
- Make models of pyramids from nets
- Calculate area of base and triangular faces
- Sum areas to find total surface area
- Work with peers on different pyramids
How do we calculate the surface area of a pyramid?
- Essential Mathematics Grade 10 Learner's Book
- Pyramid models
- Paper for nets
- Rulers
- Calculators
- Class written tests - Rating scale - Observation
11 4
Measurements and Geometry
Surface Area of Solids - Surface area of sphere
By the end of the lesson, the learner should be able to:
- State the formula for surface area of sphere
- Calculate surface area of sphere
- Show accuracy in calculations
- Use spherical objects to explore surface area
- Apply formula for surface area of sphere
- Calculate surface areas of different spheres
- Work in groups to solve problems
How do we find the surface area of a sphere?
- Essential Mathematics Grade 10 Learner's Book
- Spherical objects
- Rulers for measuring
- Calculators
- Models
- Class activities - Observation - Oral questions
11 5
Measurements and Geometry
Surface Area of Solids - Surface area of sphere
By the end of the lesson, the learner should be able to:
- State the formula for surface area of sphere
- Calculate surface area of sphere
- Show accuracy in calculations
- Use spherical objects to explore surface area
- Apply formula for surface area of sphere
- Calculate surface areas of different spheres
- Work in groups to solve problems
How do we find the surface area of a sphere?
- Essential Mathematics Grade 10 Learner's Book
- Spherical objects
- Rulers for measuring
- Calculators
- Models
- Class activities - Observation - Oral questions
12 1
Measurements and Geometry
Surface Area of Solids - Surface area of hemisphere
By the end of the lesson, the learner should be able to:
- Relate hemisphere to sphere
- Calculate surface area of hemisphere
- Appreciate curved and flat surfaces
- Cut sphere model to form hemisphere
- Identify curved surface and flat base
- Calculate total surface area
- Work with peers to practice calculations
How is the surface area of a hemisphere calculated?
- Essential Mathematics Grade 10 Learner's Book
- Hemisphere models
- Rulers
- Calculators
- Drawing tools
- Class written tests - Projects - Written assignments
12 2
Measurements and Geometry
Surface Area of Solids - Frustum of cone
By the end of the lesson, the learner should be able to:
- Define frustum of a cone
- Calculate surface area of frustum
- Show interest in exploring frustums
- Identify frustums in everyday objects
- Calculate curved surface area
- Add areas of two circular ends
- Work in groups to solve problems
What is a frustum and how do we find its surface area?
- Essential Mathematics Grade 10 Learner's Book
- Frustum models
- Buckets and containers
- Rulers
- Calculators
- Class activities - Rating scale - Observation
12 3
Measurements and Geometry
Surface Area of Solids - Frustum of pyramid
By the end of the lesson, the learner should be able to:
- Identify frustum of pyramid
- Calculate surface area of frustum of pyramid
- Show accuracy in calculations
- Model frustums of pyramids
- Calculate area of bases and trapezium faces
- Sum areas for total surface area
- Work with peers on different frustums
How do we calculate the surface area of a frustum of a pyramid?
- Essential Mathematics Grade 10 Learner's Book
- Frustum models
- Paper for nets
- Rulers
- Calculators
- Class written tests - Portfolio - Oral questions
12 4
Measurements and Geometry
Surface Area of Solids - Composite solids
By the end of the lesson, the learner should be able to:
- Identify component solids in composite shapes
- Calculate surface area of composite solids
- Appreciate complexity in real objects
- Break down composite solids into basic shapes
- Calculate surface area of each component
- Account for hidden surfaces
- Work in groups to solve problems
How do we find the surface area of composite solids?
- Essential Mathematics Grade 10 Learner's Book
- Models of composite solids
- Rulers
- Calculators
- Drawing tools
- Class activities - Projects - Rating scale
12 5
Measurements and Geometry
Surface Area of Solids - Applications
By the end of the lesson, the learner should be able to:
- Apply surface area in real-life contexts
- Solve problems involving painting and wrapping
- Value the importance of surface area calculations
- Calculate material needed for painting solids
- Estimate wrapping paper required
- Work on practical design problems
- Present findings to class
How is knowledge of surface area used in real life?
- Essential Mathematics Grade 10 Learner's Book
- Calculators
- Real-world scenarios
- Digital resources
- Models
- Class written tests - Projects - Portfolio

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