Numbers and Algebra

Quadratic Expressions and Equations - Forming quadratic expressions from statements

By the end of the lesson, the learner should be able to:

- Define a quadratic expression
- Form quadratic expressions from given statements
- Relate quadratic expressions to calculating areas of rectangular shapes

- Generate quadratic expressions from given statements
- Draw rectangles and express their areas as quadratic expressions
- Share work with peers

What is a quadratic expression?

- Mentor Core Mathematics Grade 10 pg. 42
- Graph paper
- Rulers

- Oral questions - Written exercises - Observation

Numbers and Algebra

Quadratic Expressions and Equations - Forming quadratic expressions from real-life situations
Quadratic Expressions and Equations - Deriving quadratic identities from concept of area
Quadratic Expressions and Equations - Deriving more quadratic identities

By the end of the lesson, the learner should be able to:

- Form quadratic expressions from real-life situations
- Interpret quadratic expressions in context
- Connect quadratic expressions to practical problems like garden design and room carpeting

- Form quadratic expressions from problems involving area
- Work out exercises involving formation of quadratic expressions
- Use digital devices to explore quadratic expressions

How are quadratic expressions formed from real-life situations?

- Mentor Core Mathematics Grade 10 pg. 43
- Graph paper
- Digital devices
- Mentor Core Mathematics Grade 10 pg. 44
- Charts
- Rulers
- Mentor Core Mathematics Grade 10 pg. 45
- Charts

- Written exercises - Class activities - Oral questions

Numbers and Algebra

Quadratic Expressions and Equations - Applying quadratic identities in numerical cases
Quadratic Expressions and Equations - Factorising quadratic expressions (coefficient of x² is 1)
Quadratic Expressions and Equations - Factorising quadratic expressions (coefficient of x² greater than 1)

By the end of the lesson, the learner should be able to:

- Apply quadratic identities to evaluate numerical expressions
- Use identities to simplify calculations
- Connect quadratic identities to quick mental calculations for large numbers

- Express numerical cases in identity form
- Use identities to evaluate expressions like 99², 101²
- Work out exercises using identities

How do quadratic identities simplify numerical calculations?

- Mentor Core Mathematics Grade 10 pg. 47
- Calculators
- Charts
- Mentor Core Mathematics Grade 10 pg. 48
- Charts
- Digital devices
- Mentor Core Mathematics Grade 10 pg. 49
- Calculators

- Written exercises - Oral questions - Observation

Numbers and Algebra

Quadratic Expressions and Equations - Forming quadratic equations from given situations
Quadratic Expressions and Equations - Forming quadratic equations from given roots

By the end of the lesson, the learner should be able to:

- Form quadratic equations from word problems
- Express real-life situations as quadratic equations
- Relate equation formation to modelling practical problems like profit and area calculations

- Read and interpret word problems
- Form quadratic equations from given situations
- Work out exercises involving equation formation

How do we form quadratic equations from real-life situations?

- Mentor Core Mathematics Grade 10 pg. 51
- Charts
- Digital devices
- Mentor Core Mathematics Grade 10 pg. 52
- Calculators

- Written exercises - Class activities - Oral questions

Numbers and Algebra

Quadratic Expressions and Equations - Solving quadratic equations by factorisation
Quadratic Expressions and Equations - Solving more quadratic equations by factorisation

By the end of the lesson, the learner should be able to:

- Solve quadratic equations by factorisation
- Apply the zero product property
- Use solutions of quadratic equations to solve measurement problems

- Factorise quadratic equations
- Apply zero product property to find solutions
- Work out exercises involving solving equations

How do we solve quadratic equations by factorisation?

- Mentor Core Mathematics Grade 10 pg. 53
- Charts
- Calculators

- Written exercises - Class activities - Oral questions

Numbers and Algebra

Quadratic Expressions and Equations - Applying quadratic equations to real-life situations

By the end of the lesson, the learner should be able to:

- Apply quadratic equations to solve real-life problems
- Interpret solutions in context
- Use quadratic equations to solve problems involving areas, consecutive numbers and profit

- Form and solve quadratic equations from word problems
- Interpret and validate solutions
- Work out real-life application problems

How are quadratic equations applied in real-life situations?

- Mentor Core Mathematics Grade 10 pg. 54
- Charts
- Digital devices

- Written assignments - Class activities - Oral questions

Numbers and Algebra
Measurements and Geometry

Quadratic Expressions and Equations - Problem solving with quadratic equations
Reflection and Congruence - Lines of symmetry in plane figures

By the end of the lesson, the learner should be able to:

- Solve complex word problems using quadratic equations
- Select appropriate solutions based on context
- Connect quadratic equations to practical applications in business, construction and daily life

- Analyse and solve complex word problems
- Discuss validity of solutions in given contexts
- Search for applications of quadratic equations using digital devices

Why are quadratic equations important in solving real-world problems?

- Mentor Core Mathematics Grade 10 pg. 55
- Digital devices
- Charts
- Mentor Core Mathematics Grade 10 pg. 75
- Paper cut-outs
- Plane mirrors
- Objects from environment

- Written assignments - Class activities - Project work

Measurements and Geometry

Reflection and Congruence - Properties of reflection

By the end of the lesson, the learner should be able to:

- Determine properties of reflection
- Use plane mirrors to demonstrate reflection
- Relate reflection to mirror images in daily life

- Use plane mirror to locate image of an object
- Use tracing paper to generate properties of reflection
- Discuss applications in driving mirrors

What are the properties of reflection?

- Mentor Core Mathematics Grade 10 pg. 78
- Plane mirrors
- Tracing paper
- Graph papers

- Written assignments - Practical work - Oral questions

Measurements and Geometry

Reflection and Congruence - Reflection on plane surface
Reflection and Congruence - Reflection on Cartesian plane (x-axis and y-axis)

By the end of the lesson, the learner should be able to:

- Draw an image given object and mirror line on plane surface
- Construct perpendicular bisectors accurately
- Apply reflection in creating symmetric designs

- Draw plane figures and mirror lines on paper
- Use properties of reflection to locate images
- Create symmetric patterns using reflection

How do we construct images under reflection?

- Mentor Core Mathematics Grade 10 pg. 79
- Plain paper
- Geometrical instruments
- Rulers
- Mentor Core Mathematics Grade 10 pg. 82
- Graph papers
- Geometrical set
- Calculators

- Practical assessment - Written tests - Observation

Measurements and Geometry

Reflection and Congruence - Reflection along lines y=x and y=-x
Reflection and Congruence - Reflection along other lines

By the end of the lesson, the learner should be able to:

- Draw images after reflection along y=x and y=-x
- Determine image coordinates accurately
- Apply knowledge in solving transformation problems

- Draw objects and reflect along y=x
- Reflect along y=-x
- Compare results and establish patterns

What happens to coordinates when reflecting along y=x?

- Mentor Core Mathematics Grade 10 pg. 84
- Graph papers
- Geometrical instruments
- Rulers
- Mentor Core Mathematics Grade 10 pg. 85
- Geometrical set
- Calculators

- Written assignments - Practical work - Observation

Measurements and Geometry

Reflection and Congruence - Determining equation of mirror line

By the end of the lesson, the learner should be able to:

- Determine equation of mirror line given object and image
- Construct perpendicular bisectors accurately
- Apply knowledge in solving problems

- Join corresponding points and construct perpendicular bisectors
- Determine gradients and y-intercepts
- Form equations of mirror lines

How do we find the equation of a mirror line?

- Mentor Core Mathematics Grade 10 pg. 86
- Graph papers
- Geometrical instruments
- Calculators

- Written assignments - Practical assessment - Oral questions

Measurements and Geometry

Reflection and Congruence - Congruence tests (SSS and SAS)
Reflection and Congruence - Congruence tests (ASA and RHS)

By the end of the lesson, the learner should be able to:

- Carry out congruence tests for triangles using SSS and SAS
- Identify directly and indirectly congruent figures
- Apply congruence in construction and engineering

- Make paper cut-outs of identical shapes
- Test for congruence using SSS
- Test for congruence using SAS

When are two triangles congruent?

- Mentor Core Mathematics Grade 10 pg. 89
- Paper cut-outs
- Geometrical instruments
- Rulers
- Mentor Core Mathematics Grade 10 pg. 91
- Protractors

- Written tests - Practical activities - Observation

Measurements and Geometry

Reflection and Congruence - Applications in real life

By the end of the lesson, the learner should be able to:

- Apply reflection and congruence to real-life situations
- Discuss applications in driving mirrors and road safety
- Create designs using reflection

- Discuss applications in driving mirrors
- Create symmetric designs
- Use digital devices to explore applications

How do we use reflection in daily life?

- Mentor Core Mathematics Grade 10 pg. 95
- Plane mirrors
- Digital devices
- Reference materials

- Project work - Written tests - Observation

Measurements and Geometry

Rotation - Properties of rotation
Rotation - Rotation on plane surface

By the end of the lesson, the learner should be able to:

- Determine properties of rotation
- Demonstrate rotation using a clock
- Relate rotation to movement of clock hands and wheels

- Use an improvised clock to demonstrate rotation
- Discuss movement of minute and hour hands
- Generate properties of rotation

What are the properties of rotation?

- Mentor Core Mathematics Grade 10 pg. 97
- Improvised clock
- Protractors
- Paper cut-outs
- Mentor Core Mathematics Grade 10 pg. 99
- Plain paper
- Rulers
- Compasses

- Oral questions - Observation - Written assignments

Measurements and Geometry

Rotation - Rotation through ±90° about origin

By the end of the lesson, the learner should be able to:

- Rotate objects through ±90° about the origin
- State coordinates of images correctly
- Recognize patterns in coordinate changes

- Plot objects on Cartesian plane
- Rotate through +90° and -90° about (0,0)
- Record and compare coordinates

How do coordinates change under rotation through 90°?

- Mentor Core Mathematics Grade 10 pg. 103
- Graph papers
- Geometrical set
- Calculators

- Written assignments - Class exercises - Oral questions

Measurements and Geometry

Rotation - Rotation through ±180° about origin
Rotation - Rotation about other centres

By the end of the lesson, the learner should be able to:

- Rotate objects through ±180° about the origin
- Determine image coordinates accurately
- Connect half-turn to reflection through a point

- Plot objects and rotate through 180°
- Compare results with -180° rotation
- Establish coordinate patterns

What is the effect of a half-turn on coordinates?

- Mentor Core Mathematics Grade 10 pg. 103
- Graph papers
- Geometrical instruments
- Calculators
- Mentor Core Mathematics Grade 10 pg. 105
- Geometrical set
- Protractors

- Written tests - Practical work - Observation

Measurements and Geometry

Rotation - Finding centre and angle of rotation

By the end of the lesson, the learner should be able to:

- Determine centre and angle of rotation given object and image
- Construct perpendicular bisectors accurately
- Apply construction skills in solving problems

- Join corresponding points
- Construct perpendicular bisectors
- Locate centre and measure angle of rotation

How do we find the centre and angle of rotation?

- Mentor Core Mathematics Grade 10 pg. 106
- Graph papers
- Geometrical instruments
- Protractors

- Written tests - Practical activities - Observation

Measurements and Geometry

Rotation - Rotational symmetry of plane figures
Rotation - Axis and order of rotational symmetry in solids

By the end of the lesson, the learner should be able to:

- Determine order of rotational symmetry of plane figures
- Use paper cut-outs to demonstrate rotational symmetry
- Identify rotational symmetry in logos and designs

- Use paper cut-outs to locate points of symmetry
- Establish order of rotational symmetry
- Discuss symmetry in logos and patterns

What is the order of rotational symmetry?

- Mentor Core Mathematics Grade 10 pg. 110
- Paper cut-outs
- Pins
- Manila paper
- Mentor Core Mathematics Grade 10 pg. 113
- Models of solids
- Objects from environment

- Oral questions - Practical work - Written assignments

Measurements and Geometry

Rotation - Deducing congruence from rotation

By the end of the lesson, the learner should be able to:

- Deduce congruence from rotation
- Identify type of congruence in rotation
- Apply rotation and congruence in problem solving

- Use objects and images to identify congruence
- Distinguish direct and indirect congruence
- Solve problems involving rotation and congruence

What type of congruence results from rotation?

- Mentor Core Mathematics Grade 10 pg. 115
- Graph papers
- Geometrical instruments
- Digital devices

- Written assignments - Class exercises - Observation

Measurements and Geometry

Trigonometry 1 - Reading tangent from tables
Trigonometry 1 - Reading sine and cosine from tables

By the end of the lesson, the learner should be able to:

- Determine tangent of acute angles from tables
- Read and interpret mathematical tables correctly
- Apply tangent ratios in calculating heights and distances

- Identify angles in table column
- Read tangent values from main columns
- Use mean difference columns for precision

How do we read tangent values from tables?

- Mentor Core Mathematics Grade 10 pg. 120
- Mathematical tables
- Calculators
- Mentor Core Mathematics Grade 10 pg. 122

- Written tests - Class exercises - Oral questions

Measurements and Geometry

Trigonometry 1 - Using calculators for trigonometric ratios

By the end of the lesson, the learner should be able to:

- Determine trigonometric ratios using calculators
- Find angles given trigonometric ratios
- Compare calculator and table values

- Set calculator to degree mode
- Find sin, cos, tan of angles
- Use inverse functions to find angles

How do we use calculators for trigonometric ratios?

- Mentor Core Mathematics Grade 10 pg. 126
- Scientific calculators
- Mathematical tables

- Written tests - Class exercises - Oral questions

Measurements and Geometry

Trigonometry 1 - Complementary angle relationships
Trigonometry 1 - Relating sine, cosine and tangent

By the end of the lesson, the learner should be able to:

- Relate sines and cosines of complementary angles
- Prove that sin θ = cos(90°-θ)
- Apply relationships in solving equations

- Generate table of complementary angles
- Compare sines and cosines
- Establish sin θ = cos(90°-θ)

What is the relationship between sine and cosine of complementary angles?

- Mentor Core Mathematics Grade 10 pg. 128
- Mathematical tables
- Calculators
- Mentor Core Mathematics Grade 10 pg. 129

- Written assignments - Class exercises - Observation

Measurements and Geometry

Trigonometry 1 - Ratios of 45°

By the end of the lesson, the learner should be able to:

- Determine trigonometric ratios of 45° using triangles
- Derive exact values without tables
- Apply in solving problems with exact values

- Draw isosceles right-angled triangle
- Calculate hypotenuse using Pythagoras
- Derive sin 45°, cos 45°, tan 45°

How do we find exact values of trigonometric ratios?

- Mentor Core Mathematics Grade 10 pg. 130
- Geometrical instruments
- Rulers

- Written assignments - Practical work - Oral questions

Measurements and Geometry

Trigonometry 1 - Ratios of 30° and 60°
Trigonometry 1 - Problems involving special angles

By the end of the lesson, the learner should be able to:

- Determine trigonometric ratios of 30° and 60°
- Use equilateral triangle to derive ratios
- Solve problems involving special angles

- Draw equilateral triangle of side 2 units
- Calculate perpendicular height
- Derive ratios for 30° and 60°

How do we derive ratios for 30° and 60°?

- Mentor Core Mathematics Grade 10 pg. 131
- Geometrical instruments
- Rulers
- Mentor Core Mathematics Grade 10 pg. 132
- Reference materials
- Calculators

- Written tests - Class exercises - Observation

Measurements and Geometry

Trigonometry 1 - Angle of elevation
Trigonometry 1 - Angle of depression

By the end of the lesson, the learner should be able to:

- Define angle of elevation
- Use clinometer to measure angles of elevation
- Calculate heights of buildings, trees and towers

- Use clinometer to measure angles
- Sketch diagrams showing angles of elevation
- Calculate unknown heights

What is angle of elevation and how do we use it?

- Mentor Core Mathematics Grade 10 pg. 133
- Clinometer
- Measuring tape
- Calculators
- Mentor Core Mathematics Grade 10 pg. 134
- Digital devices
- Reference materials

- Practical assessment - Written tests - Oral questions

Measurements and Geometry

Trigonometry 1 - Applications in real life

By the end of the lesson, the learner should be able to:

- Apply trigonometric ratios to real-life situations
- Solve problems involving heights and distances
- Connect trigonometry to surveying and aviation

- Solve problems on heights of buildings
- Calculate distances
- Research applications in careers

How do we use trigonometry in daily life?

- Mentor Core Mathematics Grade 10 pg. 136
- Reference books
- Digital devices
- Calculators

- Written tests - Project work - Oral questions

Measurements and Geometry

Area of Polygons - Deriving area formula
Area of Polygons - Calculating area using Area = ½abSinC

By the end of the lesson, the learner should be able to:

- Derive formula for area of triangle given two sides and included angle
- Use trigonometric ratios in derivation
- Apply formula Area = ½abSinC

- Use trigonometric ratios to derive formula
- Discuss in groups and generate formula
- Practice using the formula

How do we derive the area formula using trigonometry?

- Mentor Core Mathematics Grade 10 pg. 137
- Geometrical instruments
- Calculators
- Mentor Core Mathematics Grade 10 pg. 138
- Calculators
- Mathematical tables

- Written assignments - Class exercises - Observation

Measurements and Geometry

Area of Polygons - Heron's formula

By the end of the lesson, the learner should be able to:

- Determine area of triangle using Heron's formula
- Calculate semi-perimeter correctly
- Apply formula to triangles given three sides

- Calculate semi-perimeter
- Apply Heron's formula
- Compare with other methods

How do we use Heron's formula?

- Mentor Core Mathematics Grade 10 pg. 139
- Calculators
- Reference materials

- Written assignments - Class exercises - Observation

Measurements and Geometry

Area of Polygons - Area of rhombus
Area of Polygons - Area of parallelogram and trapezium

By the end of the lesson, the learner should be able to:

- Calculate area of rhombus using diagonals
- Calculate area using base and height
- Apply to real-life situations like floor tiles

- Identify rhombuses in environment
- Calculate areas using Area = ½d₁d₂
- Solve practical problems

How do we calculate the area of a rhombus?

- Mentor Core Mathematics Grade 10 pg. 143
- Models of rhombus
- Calculators
- Mentor Core Mathematics Grade 10 pg. 147
- Geometrical instruments

- Written tests - Practical activities - Oral questions

Measurements and Geometry

Area of Polygons - Area of heptagon

By the end of the lesson, the learner should be able to:

- Calculate area of regular heptagon
- Divide heptagon into triangles
- Apply to real objects like road signs

- Divide heptagon into 7 triangles
- Calculate central angle (360°÷7)
- Calculate area of one triangle and multiply

How do we calculate the area of a heptagon?

- Mentor Core Mathematics Grade 10 pg. 152
- Paper cut-outs
- Calculators
- Protractors

- Written tests - Practical work - Oral questions

Measurements and Geometry

Area of Polygons - Area of octagon
Area of Polygons - Irregular polygons

By the end of the lesson, the learner should be able to:

- Calculate area of regular octagon
- Use formula involving central angles
- Connect to real objects like stop signs

- Divide octagon into 8 triangles
- Calculate central angle (45°)
- Calculate total area

How do we calculate the area of an octagon?

- Mentor Core Mathematics Grade 10 pg. 156
- Paper cut-outs
- Calculators
- Reference materials
- Mentor Core Mathematics Grade 10 pg. 159
- Geometrical instruments
- Calculators

- Written assignments - Class exercises - Observation

Measurements and Geometry

Area of Polygons - Real-life applications

By the end of the lesson, the learner should be able to:

- Apply area of polygons to real-life situations
- Solve problems involving land and flooring
- Relate to careers in architecture and surveying

- Solve real-life problems
- Calculate areas of compound shapes
- Discuss applications in various careers

Where do we use area of polygons in real life?

- Mentor Core Mathematics Grade 10 pg. 163
- Reference materials
- Digital devices

- Written assignments - Project assessment - Observation

Measurements and Geometry

Area of a Part of a Circle - Annulus
Area of a Part of a Circle - Area of sector

By the end of the lesson, the learner should be able to:

- Define annulus and its components
- Calculate area of annulus
- Apply to circular paths and rings

- Draw concentric circles
- Calculate area of annulus using πR² - πr²
- Solve practical problems

What is an annulus and how do we calculate its area?

- Mentor Core Mathematics Grade 10 pg. 166
- Compasses
- Calculators
- Mentor Core Mathematics Grade 10 pg. 167
- Paper
- Scissors

- Written tests - Practical activities - Oral questions

Measurements and Geometry

Area of a Part of a Circle - Annular sector

By the end of the lesson, the learner should be able to:

- Calculate area of annular sector
- Apply to windscreen wipers and fan blades
- Solve practical problems

- Illustrate annular sectors
- Calculate area using sector formula
- Relate to car windscreen wipers

How do we calculate area of an annular sector?

- Mentor Core Mathematics Grade 10 pg. 170
- Diagrams
- Calculators
- Reference materials

- Written tests - Class exercises - Oral questions

Measurements and Geometry

Area of a Part of a Circle - Segment of a circle
Area of a Part of a Circle - Problems on segments

By the end of the lesson, the learner should be able to:

- Define segment of a circle
- Calculate area of segment
- Apply formula: Area of sector - Area of triangle

- Draw segments of circles
- Calculate area of sector
- Subtract area of triangle

How do we calculate the area of a segment?

- Mentor Core Mathematics Grade 10 pg. 172
- Geometrical instruments
- Calculators
- Mentor Core Mathematics Grade 10 pg. 174
- Calculators
- Reference materials

- Written assignments - Practical assessment - Observation

Measurements and Geometry

Area of a Part of a Circle - Intersecting circles (introduction)

By the end of the lesson, the learner should be able to:

- Identify common region between two intersecting circles
- Understand components of common region
- Connect to Venn diagrams and logos

- Draw two intersecting circles
- Identify common region
- Discuss structure of common area

What is the common region between two intersecting circles?

- Mentor Core Mathematics Grade 10 pg. 176
- Compasses
- Rulers
- Graph papers

- Observation - Oral questions - Written assignments

Measurements and Geometry

Area of a Part of a Circle - Calculating common area
Area of a Part of a Circle - Complex problems

By the end of the lesson, the learner should be able to:

- Calculate area of common region
- Sum areas of two segments
- Solve problems involving intersecting circles

- Calculate area of each segment
- Sum to get common area
- Solve practical problems

How do we calculate the common area?

- Mentor Core Mathematics Grade 10 pg. 177
- Calculators
- Geometrical instruments
- Mentor Core Mathematics Grade 10 pg. 179
- Reference materials
- Digital devices
- Calculators

- Written tests - Class exercises - Observation

Measurements and Geometry

Area of a Part of a Circle - Making dartboard and necklaces

By the end of the lesson, the learner should be able to:

- Make dartboard using concentric circles
- Create beaded necklaces using annular sectors
- Apply concepts creatively

- Make dartboard from available materials
- Create necklaces using beading techniques
- Present projects

How do we apply area concepts in creating designs?

- Mentor Core Mathematics Grade 10 pg. 180
- Cardboard
- Beads
- Paints
- Compasses

- Project assessment - Peer evaluation - Observation

Measurements and Geometry

Area of a Part of a Circle - Review and assessment
Surface Area and Volume - Rectangular prism

By the end of the lesson, the learner should be able to:

- Solve mixed problems on area of parts of a circle
- Apply all concepts learned
- Evaluate understanding of the sub-strand

- Review all concepts
- Solve mixed problems
- Assess understanding

How well can we apply area concepts?

- Mentor Core Mathematics Grade 10 pg. 181
- Calculators
- Past papers
- Mentor Core Mathematics Grade 10 pg. 182
- Models of prisms
- Nets
- Calculators

- Written tests - Oral questions - Class exercises

Measurements and Geometry

Surface Area and Volume - Triangular and other prisms
Surface Area and Volume - Pyramids

By the end of the lesson, the learner should be able to:

- Calculate surface area of triangular prisms
- Calculate surface area of other prisms
- Apply to tents and buildings

- Draw nets of triangular prisms
- Calculate surface areas
- Solve practical problems

How do we find surface area of triangular prisms?

- Mentor Core Mathematics Grade 10 pg. 185
- Models of prisms
- Calculators
- Mentor Core Mathematics Grade 10 pg. 191
- Models of pyramids

- Written tests - Class exercises - Oral questions

Measurements and Geometry

Surface Area and Volume - Cones

By the end of the lesson, the learner should be able to:

- Calculate surface area of cones
- Use formulas for curved surface and base
- Apply to ice cream cones and funnels

- Make cone models from manila paper
- Calculate curved surface area πrl
- Calculate total surface area

How do we calculate surface area of cones?

- Mentor Core Mathematics Grade 10 pg. 193
- Manila paper
- Compasses
- Calculators

- Written tests - Practical work - Oral questions

Measurements and Geometry

Surface Area and Volume - Frustum of cone
Surface Area and Volume - Frustum of pyramid

By the end of the lesson, the learner should be able to:

- Calculate surface area of frustum of a cone
- Use similar cone properties
- Apply to lampshades and buckets

- Make frustum by cutting cone
- Calculate surfaces of original and cut-off cone
- Find surface area of frustum

How do we calculate surface area of a frustum?

- Mentor Core Mathematics Grade 10 pg. 195
- Cone models
- Scissors
- Calculators
- Mentor Core Mathematics Grade 10 pg. 197
- Models
- Calculators
- Reference materials

- Written assignments - Practical assessment - Observation

Measurements and Geometry

Surface Area and Volume - Spheres and hemispheres

By the end of the lesson, the learner should be able to:

- Calculate surface area of spheres using 4πr²
- Calculate surface area of hemispheres
- Apply to balls, domes and bowls

- Brainstorm on spheres
- Apply formula 4πr²
- Calculate hemisphere surface area (3πr²)

How do we calculate surface area of spheres?

- Mentor Core Mathematics Grade 10 pg. 200
- Spherical objects
- Calculators

- Written assignments - Practical activities - Observation

Measurements and Geometry

Surface Area and Volume - Composite solids
Surface Area and Volume - Volume of cones

By the end of the lesson, the learner should be able to:

- Calculate surface area of composite solids
- Identify component solids
- Apply to real structures and objects

- Identify components of composite solids
- Calculate surface area of each component
- Combine appropriately

How do we find surface area of composite solids?

- Mentor Core Mathematics Grade 10 pg. 202
- Models of composite solids
- Calculators
- Mentor Core Mathematics Grade 10 pg. 205
- Cone and cylinder models
- Sand/water

- Written tests - Project work - Oral questions

Measurements and Geometry

Surface Area and Volume - Volume of prisms and pyramids

By the end of the lesson, the learner should be able to:

- Calculate volume of various prisms
- Calculate volume of pyramids using ⅓Bh
- Apply to buildings and storage

- Calculate volumes of prisms
- Apply pyramid volume formula
- Solve real-life problems

How do we calculate volumes of prisms and pyramids?

- Mentor Core Mathematics Grade 10 pg. 206
- Models of solids
- Calculators

- Written tests - Class exercises - Oral questions

Measurements and Geometry

Surface Area and Volume - Volume of spheres and hemispheres
Surface Area and Volume - Volume of frustums

By the end of the lesson, the learner should be able to:

- Calculate volume of spheres using (4/3)πr³
- Calculate volume of hemispheres
- Apply to balls, tanks and containers

- Apply sphere volume formula
- Calculate hemisphere volumes
- Solve practical problems

How do we calculate volume of spheres?

- Mentor Core Mathematics Grade 10 pg. 210
- Spherical objects
- Calculators
- Mentor Core Mathematics Grade 10 pg. 212
- Models
- Calculators
- Reference materials

- Written assignments - Practical activities - Observation

Measurements and Geometry

Surface Area and Volume - Composite solids volume

By the end of the lesson, the learner should be able to:

- Calculate volume of composite solids
- Identify and separate components
- Apply to real objects like test tubes and tanks

- Identify composite solid components
- Calculate volume of each part
- Sum up total volume

How do we find volume of composite solids?

- Mentor Core Mathematics Grade 10 pg. 216
- Models of composite solids
- Calculators

- Written assignments - Project assessment - Observation