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

In groups, learners are guided to:
- 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
Area of Polygons - Deriving area formula

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

In groups, learners are guided to:
- 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
- Mentor Core Mathematics Grade 10 pg. 137
- Geometrical instruments

- Written tests - Project work - Oral questions

Measurements and Geometry

Area of Polygons - Calculating area using Area = ½abSinC

By the end of the lesson, the learner should be able to:
- Calculate area of triangle given two sides and included angle
- Find missing sides or angles given area
- Apply to practical problems

In groups, learners are guided to:
- Calculate areas of various triangles
- Find missing elements given area
- Solve practical problems

How do we calculate area using trigonometry?

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

- Written tests - Oral questions - Class exercises

Measurements and Geometry

Area of Polygons - Heron's formula
Area of Polygons - Area of rhombus

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

In groups, learners are guided to:
- 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
- Mentor Core Mathematics Grade 10 pg. 143
- Models of rhombus
- Calculators

- Written assignments - Class exercises - Observation

Measurements and Geometry

Area of Polygons - Area of parallelogram and trapezium
Area of Polygons - Area of heptagon

By the end of the lesson, the learner should be able to:
- Calculate area of parallelogram using base × height
- Calculate area of trapezium
- Apply formulas to practical situations

In groups, learners are guided to:
- Calculate areas of parallelograms
- Calculate areas of trapeziums
- Identify shapes in environment

How do we calculate areas of parallelograms and trapeziums?

- Mentor Core Mathematics Grade 10 pg. 147
- Geometrical instruments
- Calculators
- Mentor Core Mathematics Grade 10 pg. 152
- Paper cut-outs
- Calculators
- Protractors

- Written assignments - Class exercises - Observation

Measurements and Geometry

Area of Polygons - Area of octagon

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

In groups, learners are guided to:
- 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

- Written assignments - Class exercises - Observation

Measurements and Geometry

Area of Polygons - Irregular polygons
Area of Polygons - Real-life applications

By the end of the lesson, the learner should be able to:
- Determine area of irregular polygons
- Subdivide into regular shapes
- Apply to land surveying and floor plans

In groups, learners are guided to:
- Subdivide irregular polygons into regular shapes
- Calculate area of each shape
- Sum up to get total area

How do we calculate area of irregular polygons?

- Mentor Core Mathematics Grade 10 pg. 159
- Geometrical instruments
- Calculators
- Mentor Core Mathematics Grade 10 pg. 163
- Reference materials
- Digital devices

- Written tests - Project work - Oral questions

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

In groups, learners are guided to:
- 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
Area of a Part of a Circle - Segment of a circle

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

In groups, learners are guided to:
- 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
- Mentor Core Mathematics Grade 10 pg. 172
- Geometrical instruments
- Calculators

- Written tests - Class exercises - Oral questions

Measurements and Geometry

Area of a Part of a Circle - Problems on segments

By the end of the lesson, the learner should be able to:
- Solve complex problems involving segments
- Apply to church windows and architectural designs
- Calculate missing elements

In groups, learners are guided to:
- Solve various segment problems
- Apply to real-life contexts
- Calculate angles given area

How do we apply segment area in solving problems?

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

- Written tests - Oral questions - Class exercises

Measurements and Geometry

Area of a Part of a Circle - Intersecting circles (introduction)
Area of a Part of a Circle - Calculating common area

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

In groups, learners are guided to:
- 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
- Mentor Core Mathematics Grade 10 pg. 177
- Calculators
- Geometrical instruments

- Observation - Oral questions - Written assignments

Measurements and Geometry

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

By the end of the lesson, the learner should be able to:
- Solve complex problems on intersecting circles
- Calculate shaded regions
- Apply to decorative patterns and designs

In groups, learners are guided to:
- Solve problems involving common regions
- Calculate shaded areas
- Research applications in design

Where do we use intersecting circles in real life?

- Mentor Core Mathematics Grade 10 pg. 179
- Reference materials
- Digital devices
- Calculators
- Mentor Core Mathematics Grade 10 pg. 180
- Cardboard
- Beads
- Paints
- Compasses

- Written assignments - Project work - Oral questions

Measurements and Geometry

Area of a Part of a Circle - Review and assessment

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

In groups, learners are guided to:
- 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

- Written tests - Oral questions - Class exercises

Measurements and Geometry

Surface Area and Volume - Rectangular prism
Surface Area and Volume - Triangular and other prisms

By the end of the lesson, the learner should be able to:
- Determine surface area of rectangular prisms
- Draw nets of rectangular prisms
- Apply to packaging and construction

In groups, learners are guided to:
- Collect models of rectangular prisms
- Sketch nets
- Calculate surface area

How do we calculate surface area of rectangular prisms?

- Mentor Core Mathematics Grade 10 pg. 182
- Models of prisms
- Nets
- Calculators
- Mentor Core Mathematics Grade 10 pg. 185

- Written assignments - Practical activities - Observation

Measurements and Geometry

Surface Area and Volume - Pyramids
Surface Area and Volume - Cones

By the end of the lesson, the learner should be able to:
- Determine surface area of pyramids
- Draw nets of pyramids
- Apply to structures like Egyptian pyramids

In groups, learners are guided to:
- Measure edges of pyramid models
- Cut and open to get nets
- Calculate surface area

How do we calculate surface area of pyramids?

- Mentor Core Mathematics Grade 10 pg. 191
- Models of pyramids
- Calculators
- Mentor Core Mathematics Grade 10 pg. 193
- Manila paper
- Compasses

- Written assignments - Practical assessment - Observation

Measurements and Geometry

Surface Area and Volume - Frustum of cone

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

In groups, learners are guided to:
- 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

- Written assignments - Practical assessment - Observation

Measurements and Geometry

Surface Area and Volume - Frustum of pyramid
Surface Area and Volume - Spheres and hemispheres

By the end of the lesson, the learner should be able to:
- Calculate surface area of frustum of a pyramid
- Apply similar figure properties
- Connect to kitchen worktops and counters

In groups, learners are guided to:
- Sketch original pyramid
- Use similar figures to find dimensions
- Calculate surface area

How do we find surface area of pyramid frustum?

- Mentor Core Mathematics Grade 10 pg. 197
- Models
- Calculators
- Reference materials
- Mentor Core Mathematics Grade 10 pg. 200
- Spherical objects
- Calculators

- Written tests - Class exercises - Oral questions

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

In groups, learners are guided to:
- 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

In groups, learners are guided to:
- 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

In groups, learners are guided to:
- 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
Vectors I - Introduction to vectors

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

In groups, learners are guided to:
- 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
- Mentor Core Mathematics Grade 10 pg. 220
- Charts
- Reference materials

- Written assignments - Project assessment - Observation

Measurements and Geometry

Vectors I - Vector notation
Vectors I - Equivalent vectors

By the end of the lesson, the learner should be able to:
- Use vector notations correctly
- Represent vectors as directed line segments
- Write vectors in different forms

In groups, learners are guided to:
- Practice writing vector notations
- Draw vectors on charts
- Use bold letters and arrows

How do we write and represent vectors?

- Mentor Core Mathematics Grade 10 pg. 221
- Charts
- Graph papers
- Rulers
- Mentor Core Mathematics Grade 10 pg. 223
- Geometrical instruments

- Written tests - Class exercises - Oral questions

Measurements and Geometry

Vectors I - Adding vectors

By the end of the lesson, the learner should be able to:
- Add vectors graphically
- Determine resultant vector
- Apply to finding net force or displacement

In groups, learners are guided to:
- Draw vectors head to tail
- Determine resultant vector
- Practice with multiple vectors

How do we add vectors?

- Mentor Core Mathematics Grade 10 pg. 225
- Graph papers
- Rulers
- Protractors

- Written tests - Practical assessment - Oral questions

Measurements and Geometry

Vectors I - Scalar multiplication
Vectors I - Column vectors

By the end of the lesson, the learner should be able to:
- Multiply vectors by scalars
- Understand effect of positive and negative scalars
- Apply in solving problems

In groups, learners are guided to:
- Multiply vectors by positive scalars
- Multiply by negative scalars
- Observe effect on magnitude and direction

What happens when we multiply a vector by a scalar?

- Mentor Core Mathematics Grade 10 pg. 228
- Graph papers
- Rulers
- Mentor Core Mathematics Grade 10 pg. 230
- Calculators

- Written assignments - Class exercises - Observation

Measurements and Geometry

Vectors I - Position vectors
Vectors I - Magnitude of a vector

By the end of the lesson, the learner should be able to:
- Determine position vectors
- Express vectors in terms of position vectors
- Use position vectors in calculations

In groups, learners are guided to:
- Define position vectors from origin
- Calculate vectors using a⃗ = OB⃗ - OA⃗
- Solve problems using position vectors

What are position vectors?

- Mentor Core Mathematics Grade 10 pg. 234
- Graph papers
- Calculators

- Written assignments - Practical work - Observation

Measurements and Geometry

Vectors I - Midpoint of a vector

By the end of the lesson, the learner should be able to:
- Determine midpoint of a vector
- Use midpoint formula
- Apply in geometry problems

In groups, learners are guided to:
- Calculate midpoint coordinates
- Use formula (x₁+x₂)/2, (y₁+y₂)/2
- Solve problems involving midpoints

How do we find the midpoint of a vector?

- Mentor Core Mathematics Grade 10 pg. 238
- Graph papers
- Calculators

- Written assignments - Practical assessment - Observation

Measurements and Geometry

Vectors I - Translation as transformation
Vectors I - Applications and problems

By the end of the lesson, the learner should be able to:
- Determine translation vector
- Perform translation on objects
- Relate translation to sliding motion

In groups, learners are guided to:
- Demonstrate translation
- Find translation vector from object and image
- Find image given object and translation

What is translation and how is it represented?

- Mentor Core Mathematics Grade 10 pg. 240
- Graph papers
- Geometrical instruments
- Mentor Core Mathematics Grade 10 pg. 242
- Calculators
- Digital devices

- Written tests - Class exercises - Oral questions

Measurements and Geometry

Linear Motion - Basic terms
Linear Motion - Calculating velocity and acceleration

By the end of the lesson, the learner should be able to:
- Define distance, displacement, speed, velocity and acceleration
- Distinguish between distance and displacement
- Relate to vehicle motion and athletics

In groups, learners are guided to:
- Demonstrate motion using objects
- Discuss meanings of terms
- Give real-life examples

What is the difference between speed and velocity?

- Mentor Core Mathematics Grade 10 pg. 244
- Stopwatches
- Measuring tapes
- Mentor Core Mathematics Grade 10 pg. 246
- Measuring tapes
- Calculators

- Oral questions - Written assignments - Observation

Measurements and Geometry

Linear Motion - Drawing displacement-time graphs

By the end of the lesson, the learner should be able to:
- Draw displacement-time graphs
- Plot data accurately
- Interpret simple graphs

In groups, learners are guided to:
- Collect data on displacement and time
- Plot graphs on Cartesian plane
- Draw graphs from given data

How do we draw displacement-time graphs?

- Mentor Core Mathematics Grade 10 pg. 247
- Graph papers
- Rulers

- Written assignments - Practical assessment - Observation

Measurements and Geometry

Linear Motion - Interpreting displacement-time graphs
Linear Motion - Drawing velocity-time graphs

By the end of the lesson, the learner should be able to:
- Interpret displacement-time graphs
- Calculate velocity from gradient
- Identify periods of rest

In groups, learners are guided to:
- Calculate gradients of graphs
- Identify when object is stationary
- Determine maximum displacement

What information can we get from displacement-time graphs?

- Mentor Core Mathematics Grade 10 pg. 249
- Graph papers
- Calculators
- Mentor Core Mathematics Grade 10 pg. 253
- Rulers

- Written tests - Class exercises - Oral questions

Measurements and Geometry

Linear Motion - Interpreting velocity-time graphs
Linear Motion - Relative speed (opposite directions)

By the end of the lesson, the learner should be able to:
- Interpret velocity-time graphs
- Calculate acceleration from gradient
- Calculate distance from area under graph

In groups, learners are guided to:
- Calculate gradient (acceleration)
- Calculate area under graph (distance)
- Interpret different sections

What information can we get from velocity-time graphs?

- Mentor Core Mathematics Grade 10 pg. 256
- Graph papers
- Calculators
- Mentor Core Mathematics Grade 10 pg. 261
- Digital devices

- Written tests - Class exercises - Oral questions

Measurements and Geometry

Linear Motion - Relative speed (same direction)

By the end of the lesson, the learner should be able to:
- Calculate relative speed of bodies in same direction
- Solve overtaking problems
- Connect to traffic and transport safety

In groups, learners are guided to:
- Demonstrate bodies moving in same direction
- Calculate relative speed (difference of speeds)
- Solve overtaking problems

How do we calculate relative speed for same direction?

- Mentor Core Mathematics Grade 10 pg. 263
- Calculators
- Reference materials

- Written tests - Class exercises - Oral questions

Measurements and Geometry
Statistics and Probability
Statistics and Probability
Statistics and Probability

Linear Motion - Real-life applications
Statistics I - Meaning of data and data sources
Statistics I - Methods of data collection
Statistics I - Frequency distribution table for ungrouped data

By the end of the lesson, the learner should be able to:
- Apply linear motion concepts to real-life
- Solve problems involving trains, cars and planes
- Relate to transport and logistics

In groups, learners are guided to:
- Solve real-life problems
- Apply all concepts learned
- Discuss applications in transport

Where do we use linear motion concepts?

- Mentor Core Mathematics Grade 10 pg. 265
- Calculators
- Reference materials
- Digital devices
- Mentor Core Mathematics Grade 10 pg. 268
- Digital devices
- Reference books
- Questionnaires
- Tally sheets
- Measuring instruments
- Tape measures
- Graph paper

- Written assignments - Project assessment - Observation

Statistics and Probability

Statistics I - Frequency distribution table for grouped data
Statistics I - Mean of ungrouped data
Statistics I - Mode and median of ungrouped data

By the end of the lesson, the learner should be able to:
- Group data into appropriate classes
- Prepare frequency distribution tables for grouped data
- Connect grouped data to analysing large datasets in population studies and economics

In groups, learners are guided to:
- Discuss suitable class widths for grouping data
- Group collected data into appropriate classes
- Generate frequency distribution tables for grouped data

Why do we group data into classes?

- Mentor Core Mathematics Grade 10 pg. 270
- Calculators
- Graph paper
- Digital devices
- Mentor Core Mathematics Grade 10 pg. 272
- Weighing scales
- Mentor Core Mathematics Grade 10 pg. 273
- Number cards

- Written exercises - Class activities - Oral questions

Statistics and Probability

Statistics I - Mean of grouped data
Statistics I - Mode of grouped data
Statistics I - Median of grouped data

By the end of the lesson, the learner should be able to:
- Calculate the mean of grouped data using midpoints
- Apply the formula for mean of grouped data
- Use mean of grouped data to analyse examination results and production statistics

In groups, learners are guided to:
- Determine midpoints of class intervals
- Calculate mean using the formula x̄ = Σfx/Σf
- Work out exercises involving mean of grouped data

How do we calculate the mean of grouped data?

- Mentor Core Mathematics Grade 10 pg. 277
- Calculators
- Mathematical tables
- Mentor Core Mathematics Grade 10 pg. 278
- Charts
- Mentor Core Mathematics Grade 10 pg. 280

- Written exercises - Oral questions - Observation

Statistics and Probability

Statistics I - Histograms with equal class intervals
Statistics I - Histograms with unequal class intervals

By the end of the lesson, the learner should be able to:
- Define a histogram
- Draw histograms with equal class intervals
- Connect histograms to visual representation of population distribution and test scores

In groups, learners are guided to:
- Discuss features of histograms
- Calculate class boundaries
- Draw histograms using frequency against class boundaries

What is a histogram and how is it drawn?

- Mentor Core Mathematics Grade 10 pg. 285
- Graph paper
- Rulers
- Pencils
- Mentor Core Mathematics Grade 10 pg. 287
- Calculators
- Rulers

- Practical work - Observation - Written exercises

Statistics and Probability

Statistics I - Frequency polygons

By the end of the lesson, the learner should be able to:
- Define a frequency polygon
- Draw frequency polygons from frequency tables
- Relate frequency polygons to comparing distributions in climate data and market trends

In groups, learners are guided to:
- Discuss features of frequency polygons
- Calculate midpoints of class intervals
- Plot frequency against midpoints and join with straight lines

What is a frequency polygon and how is it drawn?

- Mentor Core Mathematics Grade 10 pg. 290
- Graph paper
- Rulers
- Pencils

- Practical work - Observation - Written exercises

Statistics and Probability

Statistics I - Interpreting data from histograms
Statistics I - Interpreting data from frequency polygons
Probability I - Meaning of probability and experimental probability

By the end of the lesson, the learner should be able to:
- Read and interpret information from histograms
- Determine median and other statistics from histograms
- Use histogram interpretation to make decisions in business planning and resource allocation

In groups, learners are guided to:
- Generate frequency distribution tables from histograms
- Calculate mean, mode and median from histograms
- Answer questions based on histogram interpretation

How do we extract information from histograms?

- Mentor Core Mathematics Grade 10 pg. 293
- Sample histograms
- Calculators
- Graph paper
- Mentor Core Mathematics Grade 10 pg. 296
- Sample frequency polygons
- Mentor Core Mathematics Grade 10 pg. 304
- Coins
- Dice
- Tally sheets

- Written exercises - Oral questions - Class activities

Statistics and Probability

Probability I - Performing probability experiments
Probability I - Range of probability measure
Probability I - Generating probability space

By the end of the lesson, the learner should be able to:
- Perform probability experiments using dice
- Calculate experimental probability from results
- Connect experimental probability to quality control in manufacturing and testing

In groups, learners are guided to:
- Throw a die multiple times and record outcomes
- Calculate probability of different outcomes
- Compare experimental results with expected outcomes

How do we perform probability experiments?

- Mentor Core Mathematics Grade 10 pg. 304
- Dice
- Coins
- Recording sheets
- Mentor Core Mathematics Grade 10 pg. 306
- Number cards
- Dice
- Mentor Core Mathematics Grade 10 pg. 308

- Practical work - Written exercises - Observation

Statistics and Probability

Probability I - Identifying mutually exclusive events
Probability I - Probability of mutually exclusive events
Probability I - Identifying independent events

By the end of the lesson, the learner should be able to:
- Define mutually exclusive events
- Identify mutually exclusive events
- Relate mutually exclusive events to situations like choosing one item from alternatives

In groups, learners are guided to:
- Roll a die and discuss why getting odd and even numbers simultaneously is impossible
- Identify mutually exclusive events from given scenarios
- Work out exercises on mutually exclusive events

What are mutually exclusive events?

- Mentor Core Mathematics Grade 10 pg. 309
- Dice
- Coloured balls
- Bags
- Mentor Core Mathematics Grade 10 pg. 310
- Cards
- Calculators
- Mentor Core Mathematics Grade 10 pg. 312
- Coins
- Recording sheets

- Oral questions - Written exercises - Observation

Statistics and Probability

Probability I - Probability of independent events
Probability I - Combined laws of probability
Probability I - Drawing tree diagrams

By the end of the lesson, the learner should be able to:
- Apply the multiplication law for independent events
- Calculate P(A and B) = P(A) × P(B)
- Use probability of independent events to calculate combined chances in machine operations and medical testing

In groups, learners are guided to:
- Discuss the multiplication law of probability
- Calculate probability of both events occurring
- Work out exercises involving independent events

How do we calculate the probability of independent events?

- Mentor Core Mathematics Grade 10 pg. 312
- Dice
- Coins
- Calculators
- Mentor Core Mathematics Grade 10 pg. 314
- Number cards
- Calculators
- Coloured objects
- Mentor Core Mathematics Grade 10 pg. 317
- Graph paper
- Rulers
- Pencils

- Written exercises - Class activities - Oral questions

Statistics and Probability

Probability I - Using tree diagrams to calculate probability

By the end of the lesson, the learner should be able to:
- Use tree diagrams to determine probabilities
- Calculate probabilities of various outcomes from tree diagrams
- Apply tree diagrams to solve problems in genetics, quality control and transport planning

In groups, learners are guided to:
- Draw tree diagrams for given situations
- Calculate probabilities by multiplying along branches
- Solve complex probability problems using tree diagrams

How do we use tree diagrams to calculate probabilities?

- Mentor Core Mathematics Grade 10 pg. 318
- Graph paper
- Calculators
- Sample problems

- Written exercises - Class activities - Oral questions