Measurements and Geometry

Similarity and Enlargement - Determining centre of enlargement

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

- Define the terms similar figures and enlargement
- Identify the centre of enlargement from given figures
- Apply knowledge of similarity in identifying objects around them

In groups, learners are guided to:
- Discuss with peers properties of similar figures
- Use an object and its image to locate the centre of enlargement
- Search the internet for real-life examples of similar figures

How do we identify similar figures in our environment?

- Mentor Core Mathematics Grade 10 pg. 56
- Graph papers
- Rulers
- Digital devices

- Oral questions - Observation - Written assignments

Measurements and Geometry

Similarity and Enlargement - Linear scale factor

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

- Determine the linear scale factor from similar figures
- Calculate the ratio of corresponding sides
- Use scale factors in solving problems involving maps and models

In groups, learners are guided to:
- Work out the ratio of lengths of corresponding sides
- Discuss in groups and establish Linear Scale Factor (L.S.F)
- Use digital devices to explore scale factors in maps

What is the relationship between an object and its image under enlargement?

- Mentor Core Mathematics Grade 10 pg. 57
- Graph papers
- Geometrical instruments
- Maps

- Written tests - Practical activities - Oral questions

Measurements and Geometry

Similarity and Enlargement - Linear scale factor

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

- Determine the linear scale factor from similar figures
- Calculate the ratio of corresponding sides
- Use scale factors in solving problems involving maps and models

In groups, learners are guided to:
- Work out the ratio of lengths of corresponding sides
- Discuss in groups and establish Linear Scale Factor (L.S.F)
- Use digital devices to explore scale factors in maps

What is the relationship between an object and its image under enlargement?

- Mentor Core Mathematics Grade 10 pg. 57
- Graph papers
- Geometrical instruments
- Maps

- Written tests - Practical activities - Oral questions

Measurements and Geometry

Similarity and Enlargement - Constructing images (positive scale factor)

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

- Construct the image of an object given centre and positive scale factor
- Draw enlargements on a plane surface
- Relate enlargement to photography and photocopying

In groups, learners are guided to:
- Draw on a plane surface the images of objects under enlargement
- Use ruler and compass to construct images
- Discuss applications in photography

How do we construct enlarged images accurately?

- Mentor Core Mathematics Grade 10 pg. 61
- Graph papers
- Geometrical set
- Rulers

- Observation - Written assignments - Practical assessment

Measurements and Geometry

Similarity and Enlargement - Constructing images (negative scale factor)

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

- Construct images with negative scale factors
- Draw enlargements on the Cartesian plane
- Connect negative enlargement to real-life applications like projectors

In groups, learners are guided to:
- Draw on Cartesian plane images under enlargement with negative scale factors
- Compare images with positive and negative scale factors
- Discuss how projectors use similar principles

What happens when the scale factor is negative?

- Mentor Core Mathematics Grade 10 pg. 62
- Graph papers
- Cartesian plane grids
- Geometrical instruments

- Written tests - Practical work - Oral questions

Measurements and Geometry

Similarity and Enlargement - Area scale factor

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

- Determine area scale factor of similar figures
- Establish the relationship between L.S.F and A.S.F
- Apply area scale factor in calculating surface areas of models

In groups, learners are guided to:
- Calculate areas of similar figures
- Work out the ratio of areas
- Discuss relationship A.S.F = (L.S.F)²

How does enlargement affect the area of a figure?

- Mentor Core Mathematics Grade 10 pg. 64
- Similar plane figures
- Calculators
- Manila paper

- Written assignments - Class exercises - Oral questions

Measurements and Geometry

Similarity and Enlargement - Volume scale factor

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

- Determine volume scale factor of similar solids
- Establish the relationship between L.S.F and V.S.F
- Apply volume scale factor to real objects like tanks and containers

In groups, learners are guided to:
- Work out volumes of similar solids
- Establish relationship V.S.F = (L.S.F)³
- Discuss applications in container manufacturing

How does enlargement affect the volume of a solid?

- Mentor Core Mathematics Grade 10 pg. 66
- Models of similar solids
- Calculators
- Digital devices

- Written tests - Practical activities - Observation

Measurements and Geometry

Similarity and Enlargement - Volume scale factor

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

- Determine volume scale factor of similar solids
- Establish the relationship between L.S.F and V.S.F
- Apply volume scale factor to real objects like tanks and containers

In groups, learners are guided to:
- Work out volumes of similar solids
- Establish relationship V.S.F = (L.S.F)³
- Discuss applications in container manufacturing

How does enlargement affect the volume of a solid?

- Mentor Core Mathematics Grade 10 pg. 66
- Models of similar solids
- Calculators
- Digital devices

- Written tests - Practical activities - Observation

Measurements and Geometry

Similarity and Enlargement - Relating L.S.F, A.S.F and V.S.F

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

- Relate linear, area and volume scale factors
- Solve problems involving all three scale factors
- Apply relationships to architectural models and designs

In groups, learners are guided to:
- Use two similar solids to establish relationships
- Work out tasks involving L.S.F, A.S.F and V.S.F
- Research applications in architecture

What is the relationship between L.S.F, A.S.F and V.S.F?

- Mentor Core Mathematics Grade 10 pg. 68
- Models of solids
- Calculators
- Reference books

- Written assignments - Class exercises - Oral questions

Measurements and Geometry

Similarity and Enlargement - Real-life applications

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

- Apply similarity and enlargement to solve real-life problems
- Calculate actual measurements from scale drawings
- Connect concepts to map reading and architectural drawings

In groups, learners are guided to:
- Work out tasks involving similarity in real-life situations
- Solve problems involving maps and models
- Use digital devices to explore applications

Where do we use similarity and enlargement in daily life?

- Mentor Core Mathematics Grade 10 pg. 72
- Maps
- Scale models
- Calculators

- Written tests - Project work - Oral questions

Measurements and Geometry

Similarity and Enlargement - Project on models

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

- Make models of solids using similarity and enlargement
- Present projects on similar figures
- Relate model-making to careers in engineering and design

In groups, learners are guided to:
- Use locally available materials to make models
- Present and discuss models made
- Explore careers using similarity concepts

How can we use similarity concepts in creating models?

- Mentor Core Mathematics Grade 10 pg. 72
- Manila paper
- Cardboard
- Scissors
- Rulers

- Project assessment - Peer evaluation - Observation

Measurements and Geometry

Similarity and Enlargement - Project on models

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

- Make models of solids using similarity and enlargement
- Present projects on similar figures
- Relate model-making to careers in engineering and design

In groups, learners are guided to:
- Use locally available materials to make models
- Present and discuss models made
- Explore careers using similarity concepts

How can we use similarity concepts in creating models?

- Mentor Core Mathematics Grade 10 pg. 72
- Manila paper
- Cardboard
- Scissors
- Rulers

- Project assessment - Peer evaluation - Observation

Statistics and Probability

Statistics I - Meaning of data and data sources

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

- Define the term data
- Identify various sources of data
- Relate data collection to decision making in business, health and governance

In groups, learners are guided to:

- Discuss with peers the meaning of the term data
- Explore data sources in the immediate environment
- Use digital devices to search for information on data collection methods

What is data and where can it be obtained?

- Mentor Core Mathematics Grade 10 pg. 268
- Digital devices
- Reference books

- Oral questions - Observation - Written exercises

Statistics and Probability

Statistics I - Methods of data collection

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

- Identify different methods of collecting data
- Collect data using appropriate methods
- Connect data collection methods to research in agriculture, health and social sciences

In groups, learners are guided to:

- Discuss methods of data collection including interviews, questionnaires and observations
- Collect data on shoe sizes of classmates
- Record collected data appropriately

Which methods are used to collect data in different situations?

- Mentor Core Mathematics Grade 10 pg. 268
- Questionnaires
- Tally sheets
- Measuring instruments

- Oral questions - Observation - Class activities

Statistics and Probability

Statistics I - Frequency distribution table for ungrouped data

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

- Organise data into a frequency distribution table
- Use tally marks to record frequencies
- Relate frequency tables to organising survey results in market research

In groups, learners are guided to:

- Measure heights of classmates and record measurements
- Prepare a frequency distribution table using tally marks
- Share and discuss work with classmates

How do we organise data using frequency distribution tables?

- Mentor Core Mathematics Grade 10 pg. 268
- Tape measures
- Tally sheets
- Graph paper

- Written exercises - Observation - Oral questions

Statistics and Probability

Statistics I - Frequency distribution table for ungrouped data

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

- Organise data into a frequency distribution table
- Use tally marks to record frequencies
- Relate frequency tables to organising survey results in market research

In groups, learners are guided to:

- Measure heights of classmates and record measurements
- Prepare a frequency distribution table using tally marks
- Share and discuss work with classmates

How do we organise data using frequency distribution tables?

- Mentor Core Mathematics Grade 10 pg. 268
- Tape measures
- Tally sheets
- Graph paper

- Written exercises - Observation - Oral questions

Statistics and Probability

Statistics I - Frequency distribution table for grouped 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

- Written exercises - Class activities - Oral questions

Statistics and Probability

Statistics I - Mean of ungrouped data

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

- Define the mean of a data set
- Calculate the mean of ungrouped data
- Relate mean to calculating average scores, temperatures and production outputs

In groups, learners are guided to:

- Determine masses of group members and calculate the average
- Work out the mean of various data sets
- Discuss the meaning and use of the mean

What is the mean and how is it calculated?

- Mentor Core Mathematics Grade 10 pg. 272
- Calculators
- Weighing scales

- Written exercises - Oral questions - Observation

Statistics and Probability

Statistics I - Mode and median of ungrouped data

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

- Define mode and median
- Determine the mode and median of ungrouped data
- Connect mode and median to identifying most common products and middle values in salary surveys

In groups, learners are guided to:

- Collect marks from classmates and determine the most frequent mark
- Arrange data in order and identify the middle value
- Work out exercises involving mode and median

How do we determine the mode and median of a data set?

- Mentor Core Mathematics Grade 10 pg. 273
- Calculators
- Number cards

- Written exercises - Class activities - Oral questions

Statistics and Probability

Statistics I - Mean 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

- Written exercises - Oral questions - Observation

Statistics and Probability

Statistics I - Mean 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

- Written exercises - Oral questions - Observation

Statistics and Probability

Statistics I - Mode of grouped data

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

- Identify the modal class of grouped data
- Calculate the mode of grouped data using the formula
- Relate modal class to identifying most common age groups, income brackets or product sizes

In groups, learners are guided to:

- Identify the class with the highest frequency
- Apply the mode formula for grouped data
- Work out exercises involving mode of grouped data

How do we determine the mode of grouped data?

- Mentor Core Mathematics Grade 10 pg. 278
- Calculators
- Charts

- Written exercises - Class activities - Oral questions

Statistics and Probability

Statistics I - Median of grouped data

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

- Identify the median class of grouped data
- Calculate the median of grouped data using the formula
- Use median to determine middle income levels and central tendencies in large populations

In groups, learners are guided to:

- Calculate cumulative frequencies
- Identify the median class
- Apply the median formula for grouped data

How do we determine the median of grouped data?

- Mentor Core Mathematics Grade 10 pg. 280
- Calculators
- Charts

- Written exercises - Oral questions - Observation

Statistics and Probability

Statistics I - Histograms with equal 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

- Practical work - Observation - Written exercises

Statistics and Probability

Statistics I - Histograms with equal 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

- Practical work - Observation - Written exercises

Statistics and Probability

Statistics I - Histograms with equal 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

- Practical work - Observation - Written exercises

Statistics and Probability

Statistics I - Histograms with unequal class intervals

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

- Calculate frequency density for unequal class intervals
- Draw histograms using frequency density
- Use histograms with unequal intervals to represent wage distribution and age demographics

In groups, learners are guided to:

- Calculate frequency density (f/i) for each class
- Draw histograms using frequency density against class boundaries
- Work out exercises involving unequal class intervals

How do we draw histograms when class intervals are unequal?

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

- Practical work - Written exercises - Observation

Statistics and Probability

Statistics I - Histograms with unequal class intervals

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

- Calculate frequency density for unequal class intervals
- Draw histograms using frequency density
- Use histograms with unequal intervals to represent wage distribution and age demographics

In groups, learners are guided to:

- Calculate frequency density (f/i) for each class
- Draw histograms using frequency density against class boundaries
- Work out exercises involving unequal class intervals

How do we draw histograms when class intervals are unequal?

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

- Practical work - Written exercises - Observation

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 - 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 - 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

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

- Written exercises - Oral questions - Class activities

Statistics and Probability

Statistics I - Interpreting data from histograms

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

- Written exercises - Oral questions - Class activities

Statistics and Probability

Statistics I - Interpreting data from frequency polygons

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

- Read and interpret information from frequency polygons
- Generate frequency tables from frequency polygons
- Connect data interpretation to informed decision making in health, education and economics

In groups, learners are guided to:

- Generate frequency distribution tables from frequency polygons
- Calculate mean and median from frequency polygons
- Discuss and compare different distributions

How do we interpret data from frequency polygons?

- Mentor Core Mathematics Grade 10 pg. 296
- Sample frequency polygons
- Calculators
- Graph paper

- Written exercises - Class activities - Oral questions

Statistics and Probability

Statistics I - Interpreting data from frequency polygons

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

- Read and interpret information from frequency polygons
- Generate frequency tables from frequency polygons
- Connect data interpretation to informed decision making in health, education and economics

In groups, learners are guided to:

- Generate frequency distribution tables from frequency polygons
- Calculate mean and median from frequency polygons
- Discuss and compare different distributions

How do we interpret data from frequency polygons?

- Mentor Core Mathematics Grade 10 pg. 296
- Sample frequency polygons
- Calculators
- Graph paper

- Written exercises - Class activities - Oral questions

Statistics and Probability

Statistics I - Interpreting data from frequency polygons

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

- Read and interpret information from frequency polygons
- Generate frequency tables from frequency polygons
- Connect data interpretation to informed decision making in health, education and economics

In groups, learners are guided to:

- Generate frequency distribution tables from frequency polygons
- Calculate mean and median from frequency polygons
- Discuss and compare different distributions

How do we interpret data from frequency polygons?

- Mentor Core Mathematics Grade 10 pg. 296
- Sample frequency polygons
- Calculators
- Graph paper

- Written exercises - Class activities - Oral questions

Statistics and Probability

Probability I - Meaning of probability and experimental probability

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

- Define probability
- Perform experiments to determine probability
- Relate probability to predicting outcomes in games, weather forecasting and insurance

In groups, learners are guided to:

- Toss a coin and record outcomes
- Calculate probability based on experimental results
- Discuss the meaning of probability

What is probability and how is it determined experimentally?

- Mentor Core Mathematics Grade 10 pg. 304
- Coins
- Dice
- Tally sheets

- Oral questions - Observation - Practical work

Statistics and Probability

Probability I - Performing probability experiments

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

- Practical work - Written exercises - Observation

Statistics and Probability

Probability I - Range of probability measure

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

- Identify the range of probability as 0 to 1
- Determine probability of certain and impossible events
- Relate probability range to certainty and impossibility in everyday situations like sunrise and lottery

In groups, learners are guided to:

- Discuss events that are certain and impossible
- Determine probabilities of various events
- Verify that probability values lie between 0 and 1

What are the minimum and maximum values of probability?

- Mentor Core Mathematics Grade 10 pg. 306
- Number cards
- Coins
- Dice

- Oral questions - Written exercises - Observation

Statistics and Probability

Probability I - Range of probability measure

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

- Identify the range of probability as 0 to 1
- Determine probability of certain and impossible events
- Relate probability range to certainty and impossibility in everyday situations like sunrise and lottery

In groups, learners are guided to:

- Discuss events that are certain and impossible
- Determine probabilities of various events
- Verify that probability values lie between 0 and 1

What are the minimum and maximum values of probability?

- Mentor Core Mathematics Grade 10 pg. 306
- Number cards
- Coins
- Dice

- Oral questions - Written exercises - Observation

Statistics and Probability

Probability I - Generating probability space

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

- Define probability space (sample space)
- List all possible outcomes of an event
- Connect sample space to analysing all possible outcomes in games and decision making

In groups, learners are guided to:

- Prepare number cards and form two-digit numbers
- List all possible outcomes when tossing coins and dice
- Develop possibility spaces for combined events

What is a probability space?

- Mentor Core Mathematics Grade 10 pg. 308
- Number cards
- Coins
- Dice

- Written exercises - Oral questions - Class activities

Statistics and Probability

Probability I - Identifying mutually exclusive 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

- Oral questions - Written exercises - Observation

Statistics and Probability

Probability I - Identifying mutually exclusive 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

- Oral questions - Written exercises - Observation

Statistics and Probability

Probability I - Probability of mutually exclusive events

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

- Apply the addition law for mutually exclusive events
- Calculate P(A or B) = P(A) + P(B)
- Use probability of mutually exclusive events to calculate chances in sports competitions and elections

In groups, learners are guided to:

- Discuss the addition law of probability
- Calculate probability of either event occurring
- Work out exercises involving mutually exclusive events

How do we calculate the probability of mutually exclusive events?

- Mentor Core Mathematics Grade 10 pg. 310
- Dice
- Cards
- Calculators

- Written exercises - Class activities - Oral questions

Statistics and Probability

Probability I - Identifying independent events

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

- Define independent events
- Identify independent events
- Connect independent events to simultaneous occurrences like weather and traffic conditions

In groups, learners are guided to:

- Toss a coin and die simultaneously
- Discuss why outcomes do not affect each other
- Identify independent events from given scenarios

What are independent events?

- Mentor Core Mathematics Grade 10 pg. 312
- Coins
- Dice
- Recording sheets

- Oral questions - Written exercises - Observation

Statistics and Probability

Probability I - Probability of independent events

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

- Written exercises - Class activities - Oral questions

Statistics and Probability

Probability I - Probability of independent events

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

- Written exercises - Class activities - Oral questions

Statistics and Probability

Probability I - Combined laws of probability

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

- Apply addition and multiplication laws in combined problems
- Solve problems involving both laws
- Use combined probability laws to analyse complex scenarios in insurance and risk assessment

In groups, learners are guided to:

- Prepare number cards and determine probabilities of combined outcomes
- Apply both addition and multiplication laws
- Work out exercises involving combined laws

How do we apply both addition and multiplication laws of probability?

- Mentor Core Mathematics Grade 10 pg. 314
- Number cards
- Calculators
- Coloured objects

- Written exercises - Oral questions - Observation

Statistics and Probability

Probability I - Drawing tree diagrams

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

- Draw tree diagrams for probability problems
- Show all possible outcomes on a tree diagram
- Relate tree diagrams to mapping out decision pathways in business and project planning

In groups, learners are guided to:

- Discuss the structure of tree diagrams
- Draw tree diagrams for tossing coins
- Show probabilities on tree diagram branches

What is a tree diagram and how is it drawn?

- Mentor Core Mathematics Grade 10 pg. 317
- Graph paper
- Rulers
- Pencils

- Practical work - Observation - Written exercises

Statistics and Probability

Probability I - Drawing tree diagrams

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

- Draw tree diagrams for probability problems
- Show all possible outcomes on a tree diagram
- Relate tree diagrams to mapping out decision pathways in business and project planning

In groups, learners are guided to:

- Discuss the structure of tree diagrams
- Draw tree diagrams for tossing coins
- Show probabilities on tree diagram branches

What is a tree diagram and how is it drawn?

- Mentor Core Mathematics Grade 10 pg. 317
- Graph paper
- Rulers
- Pencils

- Practical work - Observation - Written exercises

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

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

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