MEASUREMENT

Capacity - Identifying the millilitre as a unit of measuring capacity

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

- Identify the millilitre as a unit of measuring capacity in real life
- Appreciate use of millilitres in real life

In groups and individually, learners are guided to:
- Fill a teaspoon or cylindrical container graduated in millilitres with water and identify that the spoon or cylinder holds 5 millilitres
- Divide the water in the spoon or cylinder into 5 equal parts and identify each part as 1 millilitre
- Discuss where millilitres are used to measure capacity

Where are litres and millilitres used in day-to-day life?

- Mentor Mathematics learners book grade 5 page 139-140
- Teaspoons
- Graduated cylinders
- Water
- Various containers

- Oral questions - Written exercises - Observation

MEASUREMENT

Capacity - Measuring capacity in millilitres (1)
Capacity - Measuring capacity in millilitres (2)

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

- Measure capacity in millilitres in real life situations
- Appreciate use of millilitres in measuring capacity in real life

In groups and individually, learners are guided to:
- Fill small containers with water and measure the capacity in millilitres using a container graduated in millilitres
- Compare capacities of different small containers

Where are litres and millilitres used in day-to-day life?

- Mentor Mathematics learners book grade 5 page 141
- Graduated cylinders
- Various containers
- Water
- Measuring spoons
- Mentor Mathematics learners book grade 5 page 142
- Digital devices
- Videos

- Oral questions - Written exercises - Observation

MEASUREMENT

Capacity - Estimating and measuring capacity in multiples of 5 millilitres (1)

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

- Estimate capacity in multiples of 5 millilitres in different situations
- Appreciate estimating capacity in real life

In groups and individually, learners are guided to:
- Estimate the capacity of different containers in multiples of 5 millilitres
- Discuss strategies for estimating capacity
- Compare their estimates with each other

Where are litres and millilitres used in day-to-day life?

- Mentor Mathematics learners book grade 5 page 143
- Graduated cylinders
- Various containers
- Water
- Measuring spoons

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

Capacity - Estimating and measuring capacity in multiples of 5 millilitres (2)

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

- Measure capacity in multiples of 5 millilitres in different situations
- Compare estimated and actual measurements
- Appreciate the importance of accurate measurement

In groups and individually, learners are guided to:
- Measure the actual capacity of containers they estimated
- Compare their estimates with actual measurements
- Discuss the accuracy of their estimates and how to improve

Where are litres and millilitres used in day-to-day life?

- Mentor Mathematics learners book grade 5 page 143
- Graduated cylinders
- Various containers
- Water
- Measuring spoons

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

Capacity - Relationship between litres and millilitres
Capacity - Converting litres to millilitres and vice versa (1)

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

- Identify the relationship between litres and millilitres in real life
- Appreciate the relationship between litres and millilitres

In groups and individually, learners are guided to:
- Establish the relationship between litre and millilitre (1 L = 1,000 mL)
- Fill a 1-litre container using 100 mL containers and count how many are needed
- Discuss the relationship and its application in real life

Where are litres and millilitres used in day-to-day life?

- Mentor Mathematics learners book grade 5 page 144
- 1-litre containers
- 100 mL containers
- Water
- Digital devices
- Mentor Mathematics learners book grade 5 page 145
- Conversion charts

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

Capacity - Converting litres to millilitres and vice versa (2)

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

- Convert millilitres to litres in real life situations
- Apply conversion in solving problems

In groups and individually, learners are guided to:
- Convert millilitres to litres using the relationship 1 L = 1,000 mL
- Solve problems involving conversion of millilitres to litres
- Apply conversion in real-life problems

Where are litres and millilitres used in day-to-day life?

- Mentor Mathematics learners book grade 5 page 146-147
- Conversion charts
- Digital devices

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Capacity - Addition of litres and millilitres

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

- Add litres and millilitres in real life situations
- Solve problems involving addition of litres and millilitres

In groups and individually, learners are guided to:
- Add litres and millilitres with regrouping
- Solve real-life problems involving addition of litres and millilitres
- Calculate total capacity in practical situations

How do we apply addition of capacity in real life?

- Mentor Mathematics learners book grade 5 page 148-149
- Graduated containers
- Digital devices

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Capacity - Subtraction of litres and millilitres
Capacity - Multiplication of litres and millilitres by whole numbers

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

- Subtract litres and millilitres in real life situations
- Solve problems involving subtraction of litres and millilitres

In groups and individually, learners are guided to:
- Subtract litres and millilitres with regrouping
- Solve real-life problems involving subtraction of litres and millilitres
- Calculate remaining capacity in practical situations

How do we apply subtraction of capacity in real life?

- Mentor Mathematics learners book grade 5 page 150-151
- Graduated containers
- Digital devices
- Mentor Mathematics learners book grade 5 page 151-152
- Multiplication tables

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Capacity - Division of litres and millilitres by whole numbers

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

- Divide litres and millilitres by whole numbers in different situations
- Solve problems involving division of litres and millilitres

In groups and individually, learners are guided to:
- Divide litres and millilitres by whole numbers
- Solve real-life problems involving division of litres and millilitres
- Calculate capacity shared equally among containers

How do we apply division of capacity in real life?

- Mentor Mathematics learners book grade 5 page 152-153
- Digital devices

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Mass - Identifying the gram as a unit of measuring mass

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

- Identify the gram as a unit of measuring mass in real life
- Appreciate the use of grams in measuring mass in real life

In groups and individually, learners are guided to:
- Discuss in groups, scoop sand or soil using a teaspoon and explain that the amount scooped is about 5 grams
- Divide the amount scooped into 5 equal groups, each being about one gram
- Identify where grams are used to measure mass in real life

What is the importance of measuring mass?

- Mentor Mathematics learners book grade 5 page 153-154
- Teaspoons
- Sand or soil
- Electronic/manual weighing machine

- Oral questions - Written exercises - Observation

MEASUREMENT

Mass - Measuring mass in grams (1)
Mass - Measuring mass in grams (2)

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

- Measure mass in grams in different situations
- Appreciate measuring mass in grams in real life

In groups and individually, learners are guided to:
- Use an electronic or a manual weighing machine to measure mass of sand or soil in grams
- Measure the mass of different small objects in grams

What is the importance of measuring mass?

- Mentor Mathematics learners book grade 5 page 155
- Electronic/manual weighing machine
- Various small objects
- Sand or soil
- Mentor Mathematics learners book grade 5 page 156
- Digital devices
- Videos

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

Mass - Estimating and measuring mass in grams (1)

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

- Estimate mass in grams in different situations
- Appreciate estimating mass in real life

In groups and individually, learners are guided to:
- Estimate the mass of different items in grams
- Discuss strategies for estimating mass
- Compare their estimates with each other

What is the importance of measuring mass?

- Mentor Mathematics learners book grade 5 page 157
- Electronic/manual weighing machine
- Various small objects

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

Mass - Estimating and measuring mass in grams (2)

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

- Measure estimated mass and compare with actual measurements
- Appreciate the importance of accurate measurement

In groups and individually, learners are guided to:
- Measure the actual mass of items they estimated
- Compare their estimates with actual measurements
- Discuss the accuracy of their estimates and how to improve

What is the importance of measuring mass?

- Mentor Mathematics learners book grade 5 page 158
- Electronic/manual weighing machine
- Beam balance
- Various small objects

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

Mass - Relationship between kilogram and gram
Mass - Converting kilograms to grams and vice versa (1)

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

- Identify the relationship between the kilogram and the gram in real life situations
- Appreciate the relationship between kilogram and gram

In groups and individually, learners are guided to:
- Establish the relationship between the kilogram and the gram using a beam balance or electronic weighing machine (1 kg = 1,000 g)
- Use a 100 g container to fill one side of a beam balance until it balances with 1 kg
- Discuss the relationship and its application in real life

What is the importance of measuring mass?

- Mentor Mathematics learners book grade 5 page 159
- 1 kg mass
- 100 g containers
- Beam balance
- Electronic weighing machine
- Mentor Mathematics learners book grade 5 page 160-161
- Conversion charts
- Digital devices

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

Mass - Converting kilograms to grams and vice versa (2)

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

- Convert grams to kilograms in real life situations
- Apply conversion in solving problems

In groups and individually, learners are guided to:
- Convert grams to kilograms using the relationship 1 kg = 1,000 g
- Solve problems involving conversion of grams to kilograms
- Apply conversion in real-life problems

What is the importance of measuring mass?

- Mentor Mathematics learners book grade 5 page 162
- Conversion charts
- Digital devices

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Mass - Addition of grams and kilograms

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

- Add grams and kilograms in real life situations
- Solve problems involving addition of grams and kilograms

In groups and individually, learners are guided to:
- Add grams and kilograms with regrouping
- Solve real-life problems involving addition of grams and kilograms
- Calculate total mass in practical situations

How do we apply addition of mass in real life?

- Mentor Mathematics learners book grade 5 page 163-164
- Digital devices

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Mass - Subtraction of grams and kilograms
Mass - Multiplication of grams and kilograms by whole numbers

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

- Subtract grams and kilograms in real life situations
- Solve problems involving subtraction of grams and kilograms

In groups and individually, learners are guided to:
- Subtract grams and kilograms with regrouping
- Solve real-life problems involving subtraction of grams and kilograms
- Calculate remaining mass in practical situations

How do we apply subtraction of mass in real life?

- Mentor Mathematics learners book grade 5 page 165-166
- Digital devices
- Mentor Mathematics learners book grade 5 page 167-168
- Multiplication tables

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Mass - Division of grams and kilograms by whole numbers

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

- Divide grams and kilograms by whole numbers in real life situations
- Solve problems involving division of grams and kilograms

In groups and individually, learners are guided to:
- Divide grams and kilograms by whole numbers
- Solve real-life problems involving division of grams and kilograms
- Calculate mass shared equally among containers or groups

How do we apply division of mass in real life?

- Mentor Mathematics learners book grade 5 page 169-170
- Digital devices

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Time - Identifying the second as a unit of measuring time

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

- Identify the second as a unit of measuring time through second hand
- Appreciate use of seconds as units of measuring time in real life

In groups and individually, learners are guided to:
- Discuss and identify second hand from a clock
- Carry out activities taking 10 seconds; let learners relate the activities to what can be done in one-tenth of the time taken to do the activity; the time taken is 1 second
- Measure time taken to do various activities in seconds

How can we read and tell time?

- Mentor Mathematics learners book grade 5 page 171
- Analogue clocks
- Digital clocks
- Stopwatches
- Digital devices

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

Time - Relationship between minute and second
Time - Converting minutes to seconds and vice versa (1)

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

- Identify the relationship between the minute and the second in real life situations
- Appreciate the relationship between minutes and seconds

In groups and individually, learners are guided to:
- Establish the relationship between seconds and minute using a clock or stopwatch (1 minute = 60 seconds)
- Measure time taken to do various activities in seconds and minutes
- Discuss the relationship and its application in real life

How can we read and tell time?

- Mentor Mathematics learners book grade 5 page 172
- Analogue clocks
- Digital clocks
- Stopwatches
- Digital devices
- Mentor Mathematics learners book grade 5 page 173
- Conversion charts
- Clocks

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

Time - Converting minutes to seconds and vice versa (2)

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

- Convert seconds to minutes in real life
- Apply conversion in solving problems

In groups and individually, learners are guided to:
- Convert seconds to minutes using the relationship 1 minute = 60 seconds
- Solve problems involving conversion of seconds to minutes
- Apply conversion in real-life problems

How can we read and tell time?

- Mentor Mathematics learners book grade 5 page 174
- Conversion charts
- Digital devices
- Clocks
- Stopwatches

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Time - Addition of minutes and seconds with conversion

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

- Add minutes and seconds with conversion in real life situations
- Solve problems involving addition of minutes and seconds

In groups and individually, learners are guided to:
- Add minutes and seconds with regrouping
- Solve real-life problems involving addition of minutes and seconds
- Calculate total time in practical situations

How can we apply addition of time in real life?

- Mentor Mathematics learners book grade 5 page 175-176
- Digital devices
- Clocks
- Stopwatches

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Time - Subtraction of minutes and seconds with conversion
Time - Multiplication of minutes and seconds by whole numbers

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

- Subtract minutes and seconds with conversion in real life situations
- Solve problems involving subtraction of minutes and seconds

In groups and individually, learners are guided to:
- Subtract minutes and seconds with regrouping
- Solve real-life problems involving subtraction of minutes and seconds
- Calculate time differences in practical situations

How can we apply subtraction of time in real life?

- Mentor Mathematics learners book grade 5 page 177-178
- Digital devices
- Clocks
- Stopwatches
- Mentor Mathematics learners book grade 5 page 178
- Multiplication tables

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT
GEOMETRY

Time - Division of minutes and seconds by whole numbers
Lines - Identifying and drawing horizontal and vertical lines

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

- Divide minutes and seconds by whole numbers in real life situations
- Solve problems involving division of minutes and seconds

In groups and individually, learners are guided to:
- Divide minutes and seconds by whole numbers
- Solve real-life problems involving division of minutes and seconds
- Calculate time taken for sharing activities equally

How can we apply division of time in real life?

- Mentor Mathematics learners book grade 5 page 179
- Digital devices
- Clocks
- Stopwatches
- Mentor Mathematics learners book grade 5 page 188-189
- Rulers
- Straight edges
- Chalk board ruler
- Charts with examples of lines

- Oral questions - Written exercises - Assessment rubrics

GEOMETRY

Lines - Identifying and drawing perpendicular lines
Lines - Identifying and drawing parallel lines

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

- Identify perpendicular lines in different situations
- Draw perpendicular lines in different situations
- Appreciate the use of perpendicular lines in real life

In groups and individually, learners are guided to:
- Identify perpendicular lines in the classroom and within the environment
- Describe perpendicular lines as lines that meet at right angles (90°)
- Draw perpendicular lines using set squares, rulers and other straight edges
- Discuss real-life examples of perpendicular lines

Where are perpendicular lines used?

- Mentor Mathematics learners book grade 5 page 190-191
- Rulers
- Set squares
- Straight edges
- Chalk board ruler
- Digital devices
- Charts with examples of perpendicular lines
- Mentor Mathematics learners book grade 5 page 192-193
- Charts with examples of parallel lines

- Oral questions - Written exercises - Observation - Project

GEOMETRY

Lines - Uses of various types of lines in real life
Angles - Relating a turn to angles
Angles - Reading a protractor

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

- Identify uses of various types of lines in real life
- Appreciate the importance of different types of lines in real life

In groups and individually, learners are guided to:
- Discuss and identify various uses of horizontal, vertical, perpendicular, and parallel lines in real life
- Identify lines in objects in the environment
- Draw objects showing different types of lines
- Use digital devices to learn more about lines and their applications

Where are different types of lines used in our environment?

- Mentor Mathematics learners book grade 5 page 194
- Objects with different types of lines
- Pictures showing different types of lines
- Digital devices
- Drawing tools
- Mentor Mathematics learners book grade 5 page 195
- Objects that rotate (e.g., door, bottle cap)
- Paper cut-outs for demonstrating turns
- Pictures showing different turns
- Mentor Mathematics learners book grade 5 page 196
- Protractors
- Charts showing parts of a protractor
- Diagrams with angles

- Oral questions - Written exercises - Observation - Project

GEOMETRY

Angles - Using a protractor to measure angles
Angles - Identifying the degree as a unit of measuring angle
Angles - Measuring angles in degrees

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

- Use protractor to measure angles in different situations
- Appreciate the use of a protractor in measuring angles

In groups and individually, learners are guided to:
- Position a protractor correctly to measure given angles
- Measure various angles using a protractor
- Record measurements of angles
- Compare their measurements with others

How do we use a protractor to measure angles?

- Mentor Mathematics learners book grade 5 page 197-198
- Protractors
- Diagrams with angles
- Digital devices
- Rulers
- Mentor Mathematics learners book grade 5 page 199
- Paper cut-outs of angles
- Charts showing different angles
- Mentor Mathematics learners book grade 5 page 200-201
- Objects with angles

- Oral questions - Written exercises - Observation - Practical assessment

GEOMETRY

Angles - Uses of angles in the environment

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

- Identify the use of angles in the environment
- Appreciate the use of angles in our day-to-day life

In groups and individually, learners are guided to:
- Discuss the use of angles in the environment
- Identify angles in various objects in the environment
- Relate angles to real-life applications (construction, art, sports, etc.)
- Use digital devices to learn more about angles

Where are angles used in the environment?

- Mentor Mathematics learners book grade 5 page 202-203
- Objects with angles
- Pictures showing angles in real life
- Digital devices
- Protractors

- Oral questions - Written exercises - Observation - Project

GEOMETRY

3-D Objects - Describing 3-D objects in the environment (1)

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

- Describe 3-D objects in the environment
- Identify various 3-D objects in real life
- Appreciate the use of 3-D objects in the environment

In groups and individually, learners are guided to:
- Identify, collect objects and discuss cubes, cuboids, cylinders, spheres and pyramids as 3-D objects in the environment
- Describe the properties of cubes and cuboids
- Share findings with other groups
- Watch a video on 3-D objects

Where are 3-D objects used in the environment?

- Mentor Mathematics learners book grade 5 page 204
- 3-D objects (cubes, cuboids)
- Digital devices
- Videos
- Charts with 3-D objects

- Oral questions - Written exercises - Observation - Project

GEOMETRY

3-D Objects - Describing 3-D objects in the environment (2)
3-D Objects - Describing 3-D objects in the environment (3)

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

- Describe properties of different 3-D objects
- Differentiate between various 3-D objects
- Appreciate the use of 3-D objects in the environment

In groups and individually, learners are guided to:
- Describe the properties of cylinders and spheres
- Compare different 3-D objects based on their properties
- Identify examples of cylinders and spheres in real life
- Use digital devices to learn more about 3-D objects

What are the properties of different 3-D objects?

- Mentor Mathematics learners book grade 5 page 205
- 3-D objects (cylinders, spheres)
- Digital devices
- Videos
- Charts with 3-D objects
- Mentor Mathematics learners book grade 5 page 206
- 3-D objects (pyramids, other shapes)

- Oral questions - Written exercises - Observation - Project

GEOMETRY

3-D Objects - Describing 2-D shapes in 3-D objects (1)

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

- Describe 2-D shapes in 3-D objects in the environment
- Identify 2-D shapes in cubes and cuboids
- Appreciate the relationship between 2-D shapes and 3-D objects

In groups and individually, learners are guided to:
- Describe 2-D shapes found in 3-D objects
- Identify squares and rectangles in cubes and cuboids
- Draw the 2-D shapes found in cubes and cuboids
- Share their findings with other groups

What 2-D shapes can we find in 3-D objects?

- Mentor Mathematics learners book grade 5 page 207
- 3-D objects (cubes, cuboids)
- 2-D shape cut-outs
- Drawing materials
- Digital devices

- Oral questions - Written exercises - Observation - Project

GEOMETRY

3-D Objects - Describing 2-D shapes in 3-D objects (2)

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

- Describe 2-D shapes in cylinders and spheres
- Identify 2-D shapes in cylinders and spheres
- Appreciate the relationship between 2-D shapes and 3-D objects

In groups and individually, learners are guided to:
- Describe 2-D shapes found in cylinders and spheres
- Identify circles and rectangles in cylinders
- Draw the 2-D shapes found in cylinders and spheres
- Share their findings with other groups

How do 2-D shapes form 3-D objects?

- Mentor Mathematics learners book grade 5 page 208
- 3-D objects (cylinders, spheres)
- 2-D shape cut-outs
- Drawing materials
- Digital devices

- Oral questions - Written exercises - Observation - Project

GEOMETRY
DATA HANDLING
DATA HANDLING

3-D Objects - Describing 2-D shapes in 3-D objects (3)
Data collection
Drawing tables to record data

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

- Describe 2-D shapes in pyramids and other 3-D objects
- Create nets of 3-D objects from 2-D shapes
- Appreciate the relationship between 2-D shapes and 3-D objects

In groups and individually, learners are guided to:
- Describe 2-D shapes found in pyramids and other 3-D objects
- Identify triangles and other shapes in pyramids
- Create nets of 3-D objects using 2-D shapes
- Fold nets to form 3-D objects

How can we create nets of 3-D objects?

- Mentor Mathematics learners book grade 5 page 209-210
- 3-D objects (pyramids, other shapes)
- 2-D shape cut-outs
- Paper for making nets
- Scissors
- Glue
- Digital devices
- Mentor Mathematics Learner's Book Grade 5 page 211
- Data collection forms
- Number cards
- Mentor Mathematics Learner's Book Grade 5 page 212
- Manila papers/charts

- Oral questions - Written exercises - Observation - Project

DATA HANDLING

Drawing tally marks of collected data
Preparing frequency tables

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

- Draw tally marks to represent collected data
- Interpret information represented using tally marks
- Appreciate the use of tally marks in representing data

The learner is guided to:
- Use sticks to represent tally marks for collected data
- Draw tally marks for different data sets
- Count the number of sticks representing each item
- Interpret information represented by tally marks
- Use digital devices and other resources to learn more about tally marks

How do we use tally marks to represent data?

- Mentor Mathematics Learner's Book Grade 5 page 213
- Small sticks
- Data sheets
- Digital devices
- Mentor Mathematics Learner's Book Grade 5 page 214

- Observation - Oral questions - Written exercise - Project

DATA HANDLING

Interpreting data from frequency tables

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

- Interpret data represented by frequency tables
- Draw conclusions from data in frequency tables
- Appreciate the use of frequency tables in analyzing data

The learner is guided to:
- Identify the highest and lowest frequencies in tables
- Determine differences between frequencies
- Calculate the total frequency from a frequency table
- Discuss the meaning of information presented in frequency tables
- Share their interpretations with other groups

How do we interpret information from frequency tables?

- Mentor Mathematics Learner's Book Grade 5 page 216
- Frequency tables
- Charts with frequency tables
- Digital devices
- Mentor Mathematics Learner's Book Grade 5 page 218

- Observation - Oral questions - Written exercise - Group discussion