Measurements and Geometry

Volume and Capacity - Volume of a cone

By the end of the lesson, the learner should be able to:
- Determine the volume of a cone
- Apply the formula V = ⅓πr²h
- Relate cone volume to measuring ingredients and ice cream scoops

In groups, learners are guided to:
- Make models of cone and cylinder with equal base radius and height
- Fill cone with sand and empty into cylinder
- Count number of cones needed to fill cylinder
- Establish relationship between cone and cylinder volumes

What is the relationship between volume of a cone and cylinder?

- Mentor Essential Mathematics pg. 132
- Manila paper
- Sand
- Calculators

- Observation - Oral questions - Written assignments

Measurements and Geometry

Volume and Capacity - Problems on volume of cones
Volume and Capacity - Volume of cone given slant height

By the end of the lesson, the learner should be able to:
- Calculate volume of cones given dimensions
- Determine capacity of cone-shaped containers
- Apply cone volume to funnel designs and conical flasks in laboratories

In groups, learners are guided to:
- Calculate volume of cone-shaped containers
- Convert volume to capacity in litres
- Work out radius or height when volume is given
- Solve problems on ice cream cones and funnels

How do we calculate the capacity of a cone?

- Mentor Essential Mathematics pg. 133
- Calculators
- Exercise books
- Reference books
- Mentor Essential Mathematics pg. 134
- Rulers
- Exercise books

- Observation - Oral questions - Written tests

Measurements and Geometry

Volume and Capacity - Volume of a pyramid

By the end of the lesson, the learner should be able to:
- Determine volume of square and rectangular-based pyramids
- Apply the formula V = ⅓ × base area × height
- Calculate volumes of poultry houses and storage structures

In groups, learners are guided to:
- Collect objects in shape of pyramids
- Measure vertical height, base length and width
- Calculate volume using V = ⅓ × base area × h
- Compare volumes of different pyramids

How do we find the volume of a pyramid?

- Mentor Essential Mathematics pg. 135
- Pyramid models
- Rulers
- Calculators

- Observation - Oral questions - Written tests

Measurements and Geometry

Volume and Capacity - Problems on volume of pyramids

By the end of the lesson, the learner should be able to:
- Solve problems on volume of pyramids
- Calculate capacity of pyramid-shaped containers
- Apply pyramid volume to water tanks and yoghurt packaging boxes

In groups, learners are guided to:
- Calculate volume of underground water tanks
- Work out capacity of pyramid-shaped gift boxes
- Determine dimensions when volume is given
- Share solutions with peers

How is pyramid volume applied in real life?

- Mentor Essential Mathematics pg. 136
- Calculators
- Exercise books
- Reference books

- Observation - Oral questions - Written assignments

Measurements and Geometry

Volume and Capacity - Volume of frustum of a cone

By the end of the lesson, the learner should be able to:
- Determine volume of frustum of a cone
- Calculate volume by subtracting smaller cone from larger cone
- Apply to bucket designs and lampshade constructions

In groups, learners are guided to:
- Make model of cone and cut parallel to base
- Measure radii and heights of both cones
- Calculate volumes of original and cut-off cones
- Subtract to get volume of frustum

How do we find volume of a frustum of a cone?

- Mentor Essential Mathematics pg. 138
- Manila paper
- Scissors
- Calculators

- Observation - Practical work - Written tests

Measurements and Geometry

Volume and Capacity - Problems on frustum of a cone
Volume and Capacity - Volume of frustum of a pyramid

By the end of the lesson, the learner should be able to:
- Solve problems on volume of frustum of a cone
- Calculate capacity of frustum-shaped containers
- Apply to traditional cooking pots, water collection containers and metallic buckets

In groups, learners are guided to:
- Calculate volume of rainwater collection containers
- Work out capacity of traditional cooking pots
- Determine volume of frustum-shaped drinking water buckets
- Convert volumes to litres and millilitres

How do we calculate capacity of frustum-shaped containers?

- Mentor Essential Mathematics pg. 140
- Calculators
- Exercise books
- Digital resources
- Mentor Essential Mathematics pg. 142
- Manila paper
- Scissors
- Calculators

- Observation - Oral questions - Written assignments

Measurements and Geometry

Volume and Capacity - Problems on frustum of a pyramid

By the end of the lesson, the learner should be able to:
- Solve problems on volume of frustum of a pyramid
- Calculate capacity of pyramid frustum containers
- Apply to water troughs, flower vases and lunch boxes

In groups, learners are guided to:
- Calculate volume of water troughs cut from pyramids
- Work out capacity of traditional woven baskets
- Determine volume of flower vases and lunch boxes
- Convert to litres and millilitres

How is frustum of pyramid volume applied?

- Mentor Essential Mathematics pg. 144
- Calculators
- Exercise books
- Reference books

- Observation - Oral questions - Written assignments

Measurements and Geometry

Volume and Capacity - Volume of composite solids

By the end of the lesson, the learner should be able to:
- Calculate volume of composite solids
- Combine volumes of different shapes
- Apply to school podiums, water reservoirs and combined storage structures

In groups, learners are guided to:
- Identify composite solids made of frustums and other shapes
- Break down into simpler shapes
- Calculate volume of each part
- Add to get total volume

How do we find volume of composite solids?

- Mentor Essential Mathematics pg. 145
- Calculators
- Models of solids
- Digital resources

- Observation - Oral questions - Written tests

Measurements and Geometry

Volume and Capacity - Volume of composite solids

By the end of the lesson, the learner should be able to:
- Calculate volume of composite solids
- Combine volumes of different shapes
- Apply to school podiums, water reservoirs and combined storage structures

In groups, learners are guided to:
- Identify composite solids made of frustums and other shapes
- Break down into simpler shapes
- Calculate volume of each part
- Add to get total volume

How do we find volume of composite solids?

- Mentor Essential Mathematics pg. 145
- Calculators
- Models of solids
- Digital resources

- Observation - Oral questions - Written tests

Measurements and Geometry

Volume and Capacity - Capacity problems

By the end of the lesson, the learner should be able to:
- Convert between volume and capacity units
- Solve problems involving litres and millilitres
- Apply to water storage, milk packaging and fuel tank capacities

In groups, learners are guided to:
- Convert cubic metres to litres
- Convert cubic centimetres to millilitres
- Calculate capacity of various containers
- Solve real-life problems on water and fuel storage

Why is the knowledge of volume and capacity useful?

- Mentor Essential Mathematics pg. 146
- Calculators
- Containers
- Exercise books

- Observation - Oral questions - Written assignments

Measurements and Geometry

Volume and Capacity - Combined problems

By the end of the lesson, the learner should be able to:
- Solve combined problems on volume and capacity
- Apply volume concepts to various real-life situations
- Use volume and capacity in water trough designs for livestock and reservoir planning

In groups, learners are guided to:
- Solve mixed problems on cones, pyramids and frustums
- Calculate capacity of mugs, buckets and tanks
- Work out dimensions when capacity is given
- Review all concepts on volume and capacity

How do we apply volume and capacity in daily life?

- Mentor Essential Mathematics pg. 147
- Calculators
- Digital resources
- Reference books

- Observation - Oral questions - Written tests

Measurements and Geometry

Volume and Capacity - Combined problems

By the end of the lesson, the learner should be able to:
- Solve combined problems on volume and capacity
- Apply volume concepts to various real-life situations
- Use volume and capacity in water trough designs for livestock and reservoir planning

In groups, learners are guided to:
- Solve mixed problems on cones, pyramids and frustums
- Calculate capacity of mugs, buckets and tanks
- Work out dimensions when capacity is given
- Review all concepts on volume and capacity

How do we apply volume and capacity in daily life?

- Mentor Essential Mathematics pg. 147
- Calculators
- Digital resources
- Reference books

- Observation - Oral questions - Written tests

Measurements and Geometry

Commercial Arithmetic I - Preparing a budget
Commercial Arithmetic I - Balancing a budget

By the end of the lesson, the learner should be able to:
- Prepare a budget for clubs or societies
- Identify sources of income and expenditure
- Apply budgeting skills to planning school events and fundraising activities

In groups, learners are guided to:
- Study sample budget presentation for drama club
- Discuss sources of income and fund allocation
- Brainstorm creative ways to raise funds for clubs
- Discuss what happens if expenses exceed income

Why do we need a budget?

- Mentor Essential Mathematics pg. 148
- Sample budgets
- Exercise books
- Calculators
- Mentor Essential Mathematics pg. 149
- Calculators
- Chart paper

- Observation - Oral questions - Written assignments

Measurements and Geometry

Commercial Arithmetic I - Calculating discounts

By the end of the lesson, the learner should be able to:
- Calculate discount given marked price and selling price
- Understand the meaning of discount in trading
- Apply discount calculations to shopping and back-to-school promotions

In groups, learners are guided to:
- Study posters showing discounted prices at supermarkets
- Calculate discount as: Marked price - Selling price
- Role-play shopping scenarios with discounts
- Share experiences on discounts seen in shops

What is a discount and how is it calculated?

- Mentor Essential Mathematics pg. 150
- Price lists
- Calculators
- Shopping receipts

- Observation - Oral questions - Written assignments

Measurements and Geometry

Commercial Arithmetic I - Percentage discount

By the end of the lesson, the learner should be able to:
- Calculate percentage discount
- Determine selling price after discount
- Compare discounts offered by different shops to make wise purchasing decisions

In groups, learners are guided to:
- Calculate percentage discount using formula: (Discount/Marked price) × 100%
- Work out selling price when percentage discount is given
- Compare prices at different shops offering different discounts
- Determine which shop offers better value

How do we calculate percentage discount?

- Mentor Essential Mathematics pg. 151
- Calculators
- Price catalogues
- Exercise books

- Observation - Oral questions - Written tests

Measurements and Geometry

Commercial Arithmetic I - Calculating commission

By the end of the lesson, the learner should be able to:
- Calculate commission earned on sales
- Determine commission as percentage of total sales
- Apply commission calculations to sales jobs and real estate transactions

In groups, learners are guided to:
- Brainstorm jobs where people earn commission
- Role-play sales scenarios where commission is earned
- Calculate commission using: Commission = Rate × Total sales
- Discuss advantages of commission to companies and employees

Why do companies offer commission?

- Mentor Essential Mathematics pg. 153
- Calculators
- Exercise books
- Reference books

- Observation - Role play - Written assignments

Measurements and Geometry

Commercial Arithmetic I - Percentage commission and tiered rates
Commercial Arithmetic I - Profit and percentage profit

By the end of the lesson, the learner should be able to:
- Calculate percentage commission from total sales
- Work out commission with tiered rates
- Apply commission concepts to insurance agents, car sales and digital marketing

In groups, learners are guided to:
- Calculate percentage commission: (Commission/Total sales) × 100%
- Work out commission with different rates for different amounts
- Solve problems on real estate agents and car sales
- Determine total sales when commission is given

How is percentage commission calculated?

- Mentor Essential Mathematics pg. 154
- Calculators
- Exercise books
- Digital resources
- Mentor Essential Mathematics pg. 155
- Reference books

- Observation - Oral questions - Written tests

Measurements and Geometry

Commercial Arithmetic I - Loss and percentage loss

By the end of the lesson, the learner should be able to:
- Determine loss incurred in sale of goods
- Calculate percentage loss
- Apply loss calculations to perishable goods like fruits and vegetables

In groups, learners are guided to:
- Discuss situations where businesses make losses
- Calculate loss: Cost price - Selling price
- Work out percentage loss: (Loss/Cost price) × 100%
- Discuss how to avoid losses in business

How do we calculate loss in business?

- Mentor Essential Mathematics pg. 157
- Calculators
- Exercise books
- Case studies

- Observation - Oral questions - Written tests

Measurements and Geometry

Commercial Arithmetic I - Currency exchange rates

By the end of the lesson, the learner should be able to:
- Read and interpret currency exchange rate tables
- Convert Kenyan shillings to foreign currencies
- Apply currency conversion when travelling abroad or importing goods

In groups, learners are guided to:
- Study exchange rate tables from Central Bank
- Discuss meaning of buying and selling rates
- Convert Kenya shillings to US dollars, Euros and Pounds
- Convert to East African currencies (Uganda, Tanzania, Rwanda)

How do exchange rates help travellers?

- Mentor Essential Mathematics pg. 160
- Currency exchange tables
- Calculators
- Digital resources

- Observation - Oral questions - Written assignments

Measurements and Geometry

Commercial Arithmetic I - Currency conversion problems

By the end of the lesson, the learner should be able to:
- Convert foreign currencies to Kenyan shillings
- Solve problems involving buying and selling rates
- Apply currency conversion to international trade, remittances and travel budgeting

In groups, learners are guided to:
- Convert US dollars, Euros and Yen to Kenya shillings
- Use buying rate when bank buys foreign currency
- Use selling rate when bank sells foreign currency
- Calculate amount received after currency exchange round trips

How do we convert currencies using exchange rates?

- Mentor Essential Mathematics pg. 162
- Currency exchange tables
- Calculators
- Exercise books

- Observation - Oral questions - Written tests

Statistics and Probability

Statistics - Frequency distribution tables for ungrouped data

By the end of the lesson, the learner should be able to:
- Define frequency and frequency distribution
- Collect and record data from the immediate environment
- Relate data collection to real-life surveys like shoe sizes and heights

In groups, learners are guided to:
- Collect data on shoe sizes of classmates
- Record data using tally marks
- Construct a frequency distribution table from collected data

How do we use statistics in day-to-day life?

- Mentor Essential Mathematics pg. 166
- Tally charts
- Data collection sheets

- Oral questions - Observation - Practical exercises

Statistics and Probability

Statistics - Constructing frequency distribution tables

By the end of the lesson, the learner should be able to:
- Organize raw data into frequency distribution tables
- Use tally marks to count frequencies accurately
- Apply frequency tables to organize market prices, test scores and survey results

In groups, learners are guided to:
- Organize given data sets into frequency tables
- Practice tallying and counting
- Discuss applications in recording rainfall, temperatures and sales

How do we use statistics in day-to-day life?

- Mentor Essential Mathematics pg. 167
- Data sets
- Tally charts

- Written exercises - Class activities - Observation

Statistics and Probability

Statistics - 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
- Connect mean to finding average scores, prices and measurements in daily life

In groups, learners are guided to:
- Collect data on number of children in families
- Calculate the sum of all values and divide by count
- Discuss average marks, heights and incomes

How do we use statistics in day-to-day life?

- Mentor Essential Mathematics pg. 167
- Calculators
- Data collection sheets

- Oral questions - Written exercises - Class activities

Statistics and Probability

Statistics - Mean from frequency distribution tables
Statistics - Mode of ungrouped data

By the end of the lesson, the learner should be able to:
- Calculate the mean using frequency distribution tables
- Apply the formula: Mean = Σfx/Σf
- Use mean to analyze average wages, temperatures and production outputs

In groups, learners are guided to:
- Construct frequency tables with fx column
- Calculate mean using the formula
- Solve problems on average mass, height and scores

How do we use statistics in day-to-day life?

- Mentor Essential Mathematics pg. 168
- Calculators
- Frequency table templates
- Mentor Essential Mathematics pg. 169
- Data sets
- Frequency tables

- Written exercises - Class activities - Written tests

Statistics and Probability

Statistics - Median of ungrouped data

By the end of the lesson, the learner should be able to:
- Define the median of a data set
- Determine the median by arranging data in order
- Apply median to find middle values in income distributions and test scores

In groups, learners are guided to:
- Arrange data in ascending or descending order
- Identify the middle value for odd number of items
- Calculate median for even number of items

How do we use statistics in day-to-day life?

- Mentor Essential Mathematics pg. 169
- Data sets
- Calculators

- Written exercises - Class activities - Oral questions

Statistics and Probability

Statistics - Comparing mean, mode and median

By the end of the lesson, the learner should be able to:
- Calculate mean, mode and median from the same data set
- Compare the three measures of central tendency
- Choose appropriate measures for analyzing cattle masses, learner ages and product prices

In groups, learners are guided to:
- Calculate all three measures from given data
- Compare and discuss which measure best represents the data
- Solve problems involving all three measures

How do we use statistics in day-to-day life?

- Mentor Essential Mathematics pg. 170
- Calculators
- Data sets

- Written tests - Class activities - Portfolio

Statistics and Probability

Statistics - Bar graphs

By the end of the lesson, the learner should be able to:
- Define a bar graph and its components
- Draw bar graphs from frequency tables
- Use bar graphs to display sales data, population figures and survey results

- Choose appropriate scales for axes
- Draw bars of equal width with uniform gaps
- Represent data on fruits sold, learner attendance and vehicle counts

How do we use statistics in day-to-day life?

- Mentor Essential Mathematics pg. 172
- Graph paper
- Rulers
- Pencils

- Practical exercises - Observation - Class activities

Statistics and Probability

Statistics - Line graphs

By the end of the lesson, the learner should be able to:
- Define a line graph and its uses
- Draw line graphs from given data
- Apply line graphs to show temperature changes, sales trends and growth patterns

In groups, learners are guided to:
- Plot points on a Cartesian plane
- Join points with straight lines
- Draw line graphs for temperature, rainfall and production data

How do we use statistics in day-to-day life?

- Mentor Essential Mathematics pg. 174
- Graph paper
- Rulers
- Pencils

- Practical exercises - Observation - Written exercises

Statistics and Probability

Statistics - Pie charts

By the end of the lesson, the learner should be able to:
- Define a pie chart and calculate sector angles
- Draw pie charts from frequency tables
- Use pie charts to display budget allocations, time spent on activities and crop distributions

In groups, learners are guided to:
- Calculate angles for each category (value/total × 360°)
- Use protractor to draw sectors accurately
- Represent salary budgets, fruit sales and land use data

How do we use statistics in day-to-day life?

- Mentor Essential Mathematics pg. 176
- Protractors
- Compasses
- Calculators

- Practical exercises - Observation - Class activities

Statistics and Probability

Statistics - Interpreting bar graphs

By the end of the lesson, the learner should be able to:
- Read and interpret information from bar graphs
- Answer questions based on bar graph data
- Extract information from graphs showing rainfall, sports attendance and hospital discharges

In groups, learners are guided to:
- Identify scales used on axes
- Read values from bars accurately
- Calculate totals, differences and comparisons from bar graphs

How do we use statistics in day-to-day life?

- Mentor Essential Mathematics pg. 181
- Sample bar graphs
- Calculators

- Oral questions - Written exercises - Class activities

Statistics and Probability

Statistics - Interpreting line graphs and pie charts

By the end of the lesson, the learner should be able to:
- Interpret data from line graphs and pie charts
- Draw conclusions from graphical representations
- Analyze trends in book sales, sleep patterns and company profits from graphs

In groups, learners are guided to:
- Read values and identify trends from line graphs
- Calculate actual values from pie chart sectors
- Compare data across different categories

How do we use statistics in day-to-day life?

- Mentor Essential Mathematics pg. 185
- Sample graphs and charts
- Calculators
- Protractors

- Written tests - Class activities - Portfolio

Statistics and Probability

Statistics - Interpreting line graphs and pie charts

By the end of the lesson, the learner should be able to:
- Interpret data from line graphs and pie charts
- Draw conclusions from graphical representations
- Analyze trends in book sales, sleep patterns and company profits from graphs

In groups, learners are guided to:
- Read values and identify trends from line graphs
- Calculate actual values from pie chart sectors
- Compare data across different categories

How do we use statistics in day-to-day life?

- Mentor Essential Mathematics pg. 185
- Sample graphs and charts
- Calculators
- Protractors

- Written tests - Class activities - Portfolio

Statistics and Probability

Probability - Equally likely outcomes

By the end of the lesson, the learner should be able to:
- Define probability and equally likely outcomes
- Perform experiments with coins and dice
- Relate probability to games of chance and weather prediction

In groups, learners are guided to:
- Toss coins and record outcomes
- Roll dice and list possible outcomes
- Discuss probability spaces for simple experiments

How do we apply probability in day-to-day life?

- Mentor Essential Mathematics pg. 198
- Coins
- Dice
- Spinners

- Practical exercises - Observation - Oral questions

Statistics and Probability

Probability - Equally likely outcomes

By the end of the lesson, the learner should be able to:
- Define probability and equally likely outcomes
- Perform experiments with coins and dice
- Relate probability to games of chance and weather prediction

In groups, learners are guided to:
- Toss coins and record outcomes
- Roll dice and list possible outcomes
- Discuss probability spaces for simple experiments

How do we apply probability in day-to-day life?

- Mentor Essential Mathematics pg. 198
- Coins
- Dice
- Spinners

- Practical exercises - Observation - Oral questions

Statistics and Probability

Probability - Calculating probability of equally likely outcomes

By the end of the lesson, the learner should be able to:
- State the probability formula
- Calculate probability of equally likely outcomes
- Apply probability to picking cards, selecting items and drawing balls from bags

In groups, learners are guided to:
- Calculate probability using P(E) = n(E)/n(S)
- Solve problems on picking coloured balls, numbered cards
- Discuss probability of events in sports and games

How do we apply probability in day-to-day life?

- Mentor Essential Mathematics pg. 199
- Coloured balls
- Number cards
- Calculators

- Written exercises - Class activities - Oral questions

Statistics and Probability

Probability - Range of probability of an event

By the end of the lesson, the learner should be able to:
- State the range of probability (0 to 1)
- Identify certain and impossible events
- Relate probability range to everyday certainties like sunrise and impossibilities like flying unaided

In groups, learners are guided to:
- Discuss events that are certain (probability = 1)
- Identify impossible events (probability = 0)
- Calculate probability and verify it falls within 0 to 1

How do we apply probability in day-to-day life?

- Mentor Essential Mathematics pg. 201
- Event cards
- Probability scale charts

- Oral questions - Written exercises - Observation

Statistics and Probability

Probability - Range of probability of an event

By the end of the lesson, the learner should be able to:
- State the range of probability (0 to 1)
- Identify certain and impossible events
- Relate probability range to everyday certainties like sunrise and impossibilities like flying unaided

In groups, learners are guided to:
- Discuss events that are certain (probability = 1)
- Identify impossible events (probability = 0)
- Calculate probability and verify it falls within 0 to 1

How do we apply probability in day-to-day life?

- Mentor Essential Mathematics pg. 201
- Event cards
- Probability scale charts

- Oral questions - Written exercises - Observation

Statistics and Probability

Probability - Mutually exclusive events

By the end of the lesson, the learner should be able to:
- Define mutually exclusive events
- Identify mutually exclusive events in real situations
- Relate mutually exclusive events to choices like selecting one job from two offers at the same time

In groups, learners are guided to:
- Use digital resources to research mutually exclusive events
- Classify given events as mutually exclusive or not
- Discuss examples in elections, travel choices and course selection

How do we apply probability in day-to-day life?

- Mentor Essential Mathematics pg. 202
- Digital devices
- Event scenario cards

- Written exercises - Class activities - Oral questions

Statistics and Probability

Probability - Mutually exclusive events

By the end of the lesson, the learner should be able to:
- Define mutually exclusive events
- Identify mutually exclusive events in real situations
- Relate mutually exclusive events to choices like selecting one job from two offers at the same time

In groups, learners are guided to:
- Use digital resources to research mutually exclusive events
- Classify given events as mutually exclusive or not
- Discuss examples in elections, travel choices and course selection

How do we apply probability in day-to-day life?

- Mentor Essential Mathematics pg. 202
- Digital devices
- Event scenario cards

- Written exercises - Class activities - Oral questions

Statistics and Probability

Probability - Performing experiments on mutually exclusive events

By the end of the lesson, the learner should be able to:
- Perform experiments involving mutually exclusive events
- Record and analyze outcomes
- Apply experiments to spinning wheels, drawing cards and rolling dice

In groups, learners are guided to:
- Spin colour wheels and record outcomes
- Pick cards from a deck and note results
- Discuss why two mutually exclusive events cannot occur together

How do we apply probability in day-to-day life?

- Mentor Essential Mathematics pg. 203
- Spinners
- Dice
- Coloured cards

- Practical exercises - Observation - Class activities

Statistics and Probability

Probability - Calculating probability of mutually exclusive events

By the end of the lesson, the learner should be able to:
- Calculate probability of mutually exclusive events
- Apply the addition rule: P(A or B) = P(A) + P(B)
- Solve problems on selecting items, choosing colours and picking numbers

In groups, learners are guided to:
- Calculate probability of one event or another occurring
- Solve problems involving picking pens, balls of different colours
- Discuss probability of rolling different numbers on a die

How do we apply probability in day-to-day life?

- Mentor Essential Mathematics pg. 204
- Calculators
- Probability problem cards

- Written exercises - Class activities - Written tests

Statistics and Probability

Probability - Calculating probability of mutually exclusive events

By the end of the lesson, the learner should be able to:
- Calculate probability of mutually exclusive events
- Apply the addition rule: P(A or B) = P(A) + P(B)
- Solve problems on selecting items, choosing colours and picking numbers

In groups, learners are guided to:
- Calculate probability of one event or another occurring
- Solve problems involving picking pens, balls of different colours
- Discuss probability of rolling different numbers on a die

How do we apply probability in day-to-day life?

- Mentor Essential Mathematics pg. 204
- Calculators
- Probability problem cards

- Written exercises - Class activities - Written tests

Statistics and Probability

Probability - Independent events

By the end of the lesson, the learner should be able to:
- Define independent events
- Perform experiments involving independent events
- Relate independent events to tossing coins while rolling dice or weather on different days

In groups, learners are guided to:
- Toss a coin and roll a die simultaneously
- List all possible combined outcomes
- Discuss why outcome of one event doesn't affect the other

How do we apply probability in day-to-day life?

- Mentor Essential Mathematics pg. 206
- Coins
- Dice
- Outcome tables

- Practical exercises - Observation - Oral questions

Statistics and Probability

Probability - Calculating probability of independent events

By the end of the lesson, the learner should be able to:
- Calculate probability of independent events
- Apply the multiplication rule: P(A and B) = P(A) × P(B)
- Solve problems on passing exams, hitting targets and machine breakdowns

- Calculate probability of both events occurring
- Solve problems involving learners passing tests, machines working
- Discuss probability in archery, darts and sports predictions

How do we apply probability in day-to-day life?

- Mentor Essential Mathematics pg. 207
- Calculators
- Probability problem cards

- Written tests - Class activities - Portfolio

Statistics and Probability

Probability - Calculating probability of independent events

By the end of the lesson, the learner should be able to:
- Calculate probability of independent events
- Apply the multiplication rule: P(A and B) = P(A) × P(B)
- Solve problems on passing exams, hitting targets and machine breakdowns

- Calculate probability of both events occurring
- Solve problems involving learners passing tests, machines working
- Discuss probability in archery, darts and sports predictions

How do we apply probability in day-to-day life?

- Mentor Essential Mathematics pg. 207
- Calculators
- Probability problem cards

- Written tests - Class activities - Portfolio