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

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

- Written exercises - Class activities - Written tests

Statistics and Probability

Statistics - Mode of ungrouped data

By the end of the lesson, the learner should be able to:
- Define the mode of a data set
- Identify the mode from raw data and frequency tables
- Relate mode to finding most popular items like favourite colours, foods or transport means

In groups, learners are guided to:
- Identify the most frequently occurring value in data sets
- Determine mode from frequency distribution tables
- Discuss applications in market research and voting

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

- Mentor Essential Mathematics pg. 169
- Data sets
- Frequency tables

- Oral questions - Written exercises - Observation

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 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 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 - 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 - 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 - 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 - 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 - 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 - 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