Measurement

Area - Square centimetre as a unit of area

By the end of the lesson, the learner should be able to:
- Use the square centimetre (cm²) as a unit of measuring area
- Demonstrate skills in measuring area in square centimetres
- Appreciate using square centimetre in measuring area

In groups, learners are guided to:
- Measure, trace and cut out 1 cm by 1 cm units
- Refer to the area of each as one square centimetre (1 cm²)
- Cover given surfaces using 1-centimetre square cut-outs and count to get the area

How can you determine the area of different surfaces?

Grade 5 Mathematics Learner's Book
1 cm² cut-outs
Ruler

- Observation - Oral questions - Written exercises

Measurement

Area - Area of rectangles
Area - Area of squares

By the end of the lesson, the learner should be able to:
- Work out area of rectangles in square centimetres
- Demonstrate skills in calculating area of rectangles
- Show interest in finding area of rectangles

In groups, learners are guided to:
- Cover rectangular surfaces with 1 cm² cut-outs
- Count the number of square units to find the area
- Establish area of rectangles as length × width
- Measure the sides and calculate the area

What is the formula for finding the area of a rectangle?

Grade 5 Mathematics Learner's Book
1 cm² cut-outs
Ruler
Grade 5 Mathematics Learner's Book

- Observation - Oral questions - Written exercises

Measurement

Area - Problem solving with area
Area - Areas of composite shapes

By the end of the lesson, the learner should be able to:
- Solve problems involving area
- Demonstrate skills in applying area concepts
- Show interest in solving problems involving area

In groups, learners are guided to:
- Solve word problems involving area
- Apply area concepts in real-life contexts
- Work in groups to solve various problems

How do we use area measurements in real life?

Grade 5 Mathematics Learner's Book
Word problem cards
1 cm² cut-outs
Ruler

- Observation - Oral questions - Written exercises

Measurement

Area - Practical applications of area
Volume - Cubic centimetre as a unit of volume

By the end of the lesson, the learner should be able to:
- Apply area measurements in practical situations
- Demonstrate skills in using area measurements
- Show interest in practical applications of area

In groups, learners are guided to:
- Measure and calculate the area of various surfaces in the classroom
- Apply area measurements in real-life contexts
- Work in groups to measure and record various areas

Where do we use area measurements in daily life?

Grade 5 Mathematics Learner's Book
1 cm² cut-outs
Ruler
1 cm³ cubes
Clay or plasticine

- Observation - Oral questions - Written exercises

Measurement

Volume - Volume using one-centimetre cubes
Volume - Formula for volume of cuboid

By the end of the lesson, the learner should be able to:
- Calculate volume by counting cubes
- Demonstrate skills in finding volume using cubes
- Show interest in finding volume using cubes

In groups, learners are guided to:
- Pile one-centimetre cubes to make layers
- Count the total number of cubes in the stack
- Work in groups to build and find volume of various structures

How do we find volume by counting cubes?

Grade 5 Mathematics Learner's Book
1 cm³ cubes

- Observation - Oral questions - Written exercises

Measurement

Volume - Calculating volume of cuboids
Volume - Formula for volume of cube

By the end of the lesson, the learner should be able to:
- Work out volume of cuboids in cubic centimetres using the formula
- Demonstrate skills in calculating volume of cuboids
- Show interest in calculating volume of cuboids

In groups, learners are guided to:
- Measure the dimensions of cuboids
- Apply the formula v = l × w × h to calculate volume
- Work in groups to calculate volumes of various cuboids

How do we apply the formula for volume of a cuboid?

Grade 5 Mathematics Learner's Book
Cuboids
Ruler
1 cm³ cubes

- Observation - Oral questions - Written exercises

Measurement

Volume - Calculating volume of cubes
Volume - Problem solving with volume
Volume - Working out volume of 3D objects

By the end of the lesson, the learner should be able to:
- Work out volume of cubes in cubic centimetres using the formula
- Demonstrate skills in calculating volume of cubes
- Show interest in calculating volume of cubes

In groups, learners are guided to:
- Measure the side of cubes
- Apply the formula v = s × s × s to calculate volume
- Work in groups to calculate volumes of various cubes

How do we apply the formula for volume of a cube?

Grade 5 Mathematics Learner's Book
Cubes
Ruler
Word problem cards
Various 3D objects

- Observation - Oral questions - Written exercises

Measurement

Capacity - Millilitre as a unit of capacity
Capacity - Measuring capacity in millilitres

By the end of the lesson, the learner should be able to:
- Identify the millilitre as a unit of measuring capacity
- Demonstrate skills in identifying millilitre
- Appreciate millilitre as a unit of capacity

In groups, learners are guided to:
- Fill a teaspoon with water and divide into 5 equal parts
- Identify each part as 1 millilitre
- Work in groups to demonstrate the unit of millilitre

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

Grade 5 Mathematics Learner's Book
Teaspoons
Water
Containers
Containers
Measuring cylinder

- Observation - Oral questions - Written exercises

Measurement

Capacity - Estimating capacity in millilitres
Capacity - Relationship between litres and millilitres

By the end of the lesson, the learner should be able to:
- Estimate and measure capacity in multiples of 5 millilitres
- Demonstrate skills in estimating capacity
- Appreciate estimating capacity

In groups, learners are guided to:
- Estimate the capacity of different containers in millilitres
- Measure the capacity to verify estimates
- Work in groups to estimate and measure capacity of various containers

Why is it important to estimate capacity?

Grade 5 Mathematics Learner's Book
Water
Containers
Measuring cylinder
1-litre bottle
100-ml bottle
Water

- Observation - Oral questions - Written exercises

Measurement

Capacity - Converting litres to millilitres
Capacity - Converting millilitres to litres

By the end of the lesson, the learner should be able to:
- Convert litres to millilitres
- Demonstrate skills in converting units of capacity
- Appreciate converting units of capacity

In groups, learners are guided to:
- Convert litres to millilitres using the relationship between the units
- Solve problems involving conversion from litres to millilitres
- Work in groups to convert various measurements

How do we convert litres to millilitres?

Grade 5 Mathematics Learner's Book
Conversion charts

- Observation - Oral questions - Written exercises

Measurement

Capacity - Addition of capacity
Capacity - Subtraction of capacity

By the end of the lesson, the learner should be able to:
- Add litres and millilitres
- Demonstrate skills in adding measurements of capacity
- Appreciate addition of capacity measurements

In groups, learners are guided to:
- Convert units to the same unit before adding
- Add litres and millilitres in real-life contexts
- Work in groups to solve addition problems involving capacity

How do we add measurements of capacity?

Grade 5 Mathematics Learner's Book
Place value charts

- Observation - Oral questions - Written exercises

Measurement

Capacity - Multiplication of capacity
Capacity - Division of capacity

By the end of the lesson, the learner should be able to:
- Multiply litres and millilitres by whole numbers
- Demonstrate skills in multiplying capacity measurements
- Appreciate multiplication of capacity measurements

In groups, learners are guided to:
- Multiply litres and millilitres by whole numbers
- Solve problems involving multiplication of capacity measurements
- Work in groups to solve multiplication problems

How do we multiply measurements of capacity?

Grade 5 Mathematics Learner's Book
Number cards

- Observation - Oral questions - Written exercises

Measurement

Capacity - Problem solving with capacity
Capacity - Practical applications of capacity
Mass - Gram as a unit of mass

By the end of the lesson, the learner should be able to:
- Solve problems involving capacity
- Demonstrate skills in applying capacity concepts
- Appreciate problem solving with capacity

In groups, learners are guided to:
- Solve word problems involving capacity
- Apply capacity concepts in real-life contexts
- Work in groups to solve various problems

How do we use capacity measurements in real life?

Grade 5 Mathematics Learner's Book
Word problem cards
Various containers
Water
Measuring cylinder
Teaspoons
Soil or sand
Electronic weighing scale

- Observation - Oral questions - Written exercises

Measurement

Mass - Measuring mass in grams
Mass - Estimating mass in grams

By the end of the lesson, the learner should be able to:
- Measure mass in grams
- Demonstrate skills in measuring mass
- Show interest in measuring mass

In groups, learners are guided to:
- Use a beam balance or electronic weighing machine to measure mass of various items in grams
- Record the measurements
- Work in groups to measure and record the mass of different items

How do we measure mass in grams?

Grade 5 Mathematics Learner's Book
Beam balance
Electronic weighing machine
Various objects

- Observation - Oral questions - Written exercises

Measurement

Mass - Relationship between kilogram and gram
Mass - Converting kilograms to grams

By the end of the lesson, the learner should be able to:
- Identify the relationship between kilogram and gram
- Demonstrate skills in establishing relationship between units
- Show interest in the relationship between units

In groups, learners are guided to:
- Put a 1 kg mass on one side of a beam balance
- Balance it with 100-g masses on the other side
- Count how many 100-g masses balance the 1-kg mass
- Establish that 1000 grams make 1 kilogram

How many grams make one kilogram?

Grade 5 Mathematics Learner's Book
Beam balance
1-kg mass
100-g masses
Conversion charts

- Observation - Oral questions - Written exercises

Measurement

Mass - Converting grams to kilograms
Mass - Addition of mass

By the end of the lesson, the learner should be able to:
- Convert grams to kilograms
- Demonstrate skills in converting units of mass
- Show interest in converting units of mass

In groups, learners are guided to:
- Convert grams to kilograms using the relationship between the units
- Solve problems involving conversion from grams to kilograms
- Work in groups to convert various measurements

How do we convert grams to kilograms?

Grade 5 Mathematics Learner's Book
Conversion charts
Place value charts

- Observation - Oral questions - Written exercises

Measurement

Mass - Subtraction of mass
Mass - Multiplication of mass

By the end of the lesson, the learner should be able to:
- Subtract grams and kilograms
- Demonstrate skills in subtracting measurements of mass
- Show interest in subtraction of mass measurements

In groups, learners are guided to:
- Convert units to the same unit before subtracting
- Subtract grams and kilograms in real-life contexts
- Work in groups to solve subtraction problems involving mass

How do we subtract measurements of mass?

Grade 5 Mathematics Learner's Book
Place value charts
Number cards

- Observation - Oral questions - Written exercises

Measurement

Mass - Division of mass
Mass - Problem solving with mass

By the end of the lesson, the learner should be able to:
- Divide grams and kilograms by whole numbers
- Demonstrate skills in dividing mass measurements
- Show interest in division of mass measurements

In groups, learners are guided to:
- Divide grams and kilograms by whole numbers
- Solve problems involving division of mass measurements
- Work in groups to solve division problems

How do we divide measurements of mass?

Grade 5 Mathematics Learner's Book
Number cards
Word problem cards

- Observation - Oral questions - Written exercises

Measurement

Mass - Practical applications of mass
Time - Second as a unit of time

By the end of the lesson, the learner should be able to:
- Apply mass measurements in practical situations
- Demonstrate skills in using mass measurements
- Show interest in practical applications of mass

In groups, learners are guided to:
- Measure the mass of various objects
- Apply mass measurements in real-life contexts
- Work in groups to measure and record mass of different objects

Where do we use mass measurements in daily life?

Grade 5 Mathematics Learner's Book
Beam balance
Electronic weighing machine
Various objects
Analog clocks
Stop watches

- Observation - Oral questions - Written exercises

Measurement

Time - Relationship between minute and second
Time - Converting minutes to seconds
Time - Converting seconds to minutes

By the end of the lesson, the learner should be able to:
- Identify the relationship between minute and second
- Demonstrate skills in establishing relationship between units
- Show interest in the relationship between units

In groups, learners are guided to:
- Establish the relationship between seconds and minute using a clock or stopwatch
- Count the number of seconds in one minute
- Work in groups to verify the relationship

How many seconds make one minute?

Grade 5 Mathematics Learner's Book
Analog clocks
Stop watches
Conversion charts

- Observation - Oral questions - Written exercises

Measurement

Time - Addition of time
Time - Subtraction of time

By the end of the lesson, the learner should be able to:
- Add minutes and seconds with conversion
- Demonstrate skills in adding time measurements
- Appreciate addition of time measurements

In groups, learners are guided to:
- Add minutes and seconds with conversion where necessary
- Solve problems involving addition of time
- Work in groups to solve addition problems involving time

How do we add measurements of time?

Grade 5 Mathematics Learner's Book
Place value charts

- Observation - Oral questions - Written exercises

Measurement

Time - Multiplication of time
Time - Division of time

By the end of the lesson, the learner should be able to:
- Multiply minutes and seconds by whole numbers
- Demonstrate skills in multiplying time measurements
- Appreciate multiplication of time measurements

In groups, learners are guided to:
- Multiply minutes and seconds by whole numbers
- Solve problems involving multiplication of time measurements
- Work in groups to solve multiplication problems

How do we multiply measurements of time?

Grade 5 Mathematics Learner's Book
Number cards

- Observation - Oral questions - Written exercises

Measurement

Time - Problem solving with time
Time - Reading digital time

By the end of the lesson, the learner should be able to:
- Solve problems involving time
- Demonstrate skills in applying time concepts
- Appreciate problem solving with time

In groups, learners are guided to:
- Solve word problems involving time
- Apply time concepts in real-life contexts
- Work in groups to solve various problems

How do we use time measurements in real life?

Grade 5 Mathematics Learner's Book
Word problem cards
Digital clocks
Digital watches

- Observation - Oral questions - Written exercises

Measurement

Money - Budget concept
Money - Importance of budgeting

By the end of the lesson, the learner should be able to:
- Explain the term budget
- Demonstrate skills in understanding budgets
- Appreciate the concept of budgeting

In groups, learners are guided to:
- Discuss meaning of a budget
- Prepare a budget of about 5 items that can be found in the classroom model shop
- Work in groups to create simple budgets

How do you spend your money?

Grade 5 Mathematics Learner's Book
Model shop items
Price lists
Budget samples

- Observation - Oral questions - Written exercises

Measurement

Money - Tax concept
Money - Importance of taxation

By the end of the lesson, the learner should be able to:
- Explain meaning of tax
- Demonstrate skills in understanding tax concept
- Appreciate the concept of taxation

In groups, learners are guided to:
- Discuss meaning of tax
- Study receipts from sales to identify amount of taxes paid
- Work in groups to understand different types of taxes

What is the importance of paying taxes?

Grade 5 Mathematics Learner's Book
Sales receipts
Charts showing government services

- Observation - Oral questions - Written exercises

Measurement

Money - Banking services
Money - Electronic banking
Money - Saving wisely

By the end of the lesson, the learner should be able to:
- Identify services provided by banks
- Demonstrate skills in understanding banking services
- Appreciate services provided by banks

In groups, learners are guided to:
- Discuss provision of loans, safe custody of items, money deposits and withdrawals, savings as services provided by banks
- Work in groups to identify different banking services

What services do banks provide?

Grade 5 Mathematics Learner's Book
Charts showing banking services
Charts showing electronic banking
Charts showing saving methods

- Observation - Oral questions - Written exercises

Measurement
Geometry
Geometry

Money - Financial literacy
Lines - Horizontal and vertical lines
Lines - Drawing horizontal and vertical lines

By the end of the lesson, the learner should be able to:
- Apply budgeting, banking, and saving concepts
- Demonstrate skills in financial literacy
- Show interest in financial literacy

In groups, learners are guided to:
- Apply concepts of budgeting, banking, and saving in simulated situations
- Create personal financial plans
- Work in groups to solve financial problems

How can good financial habits help us in life?

Grade 5 Mathematics Learner's Book
Budget templates
Financial literacy charts
Rulers
Charts showing lines
Drawing materials

- Observation - Oral questions - Written exercises

Geometry

Lines - Perpendicular lines
Lines - Drawing perpendicular lines
Lines - Parallel lines
Lines - Drawing parallel lines

By the end of the lesson, the learner should be able to:
- Identify perpendicular lines in different situations
- Demonstrate skills in identifying perpendicular lines
- Appreciate the use of perpendicular lines in real life

In groups, learners are guided to:
- Look at objects around the classroom and school compound
- Identify which lines meet or cross at right angles
- Work in groups to identify perpendicular lines in the environment

Where are perpendicular lines used?

Grade 5 Mathematics Learner's Book
Rulers
Set squares
Charts showing lines
Drawing materials

- Observation - Oral questions - Written exercises

Geometry

Angles - Making turns to form angles
Angles - Uses of angles
Angles - Measuring angles using a unit angle
Angles - Degree as a unit of measuring angle

By the end of the lesson, the learner should be able to:
- Relate a turn to angles in real life
- Demonstrate skills in relating turns to angles
- Appreciate the relationship between turns and angles

In groups, learners are guided to:
- Walk along different paths within the school compound
- Identify the turns made and the angles formed
- Make a clock face and use it to show quarter and half turns
- Work in groups to relate turns to angles

How are turns related to angles?

Grade 5 Mathematics Learner's Book
Clock faces
Directional maps
Various objects with angles
Pictures showing angles
Unit angle templates
Paper
Scissors
Protractors
Unit angle templates

- Observation - Oral questions - Written exercises

Geometry

Angles - Reading a protractor
Angles - Measuring angles in degrees

By the end of the lesson, the learner should be able to:
- Read a protractor as a tool for measuring angles
- Demonstrate skills in using a protractor
- Appreciate protractor as a tool for measuring angles

In groups, learners are guided to:
- Examine a protractor and identify its parts
- Learn how to place a protractor on angles for measurement
- Identify the inner and outer scales on the protractor
- Work in groups to practice reading protractors

How do we read a protractor correctly?

Grade 5 Mathematics Learner's Book
Protractors
Angle charts

- Observation - Oral questions - Written exercises

Geometry

3-D Objects - 3-D objects in the environment
3-D Objects - Cubes and cuboids

By the end of the lesson, the learner should be able to:
- Describe 3-D objects in the environment
- Demonstrate skills in identifying 3-D objects
- Appreciate 3-D objects in the environment

In groups, learners are guided to:
- Identify and collect objects that are cubes, cuboids, cylinders, spheres and pyramids
- Discuss the properties of each 3-D object
- Work in groups to identify 3-D objects in the environment

Where are 3-D objects used in the environment?

Grade 5 Mathematics Learner's Book
3-D objects (cubes, cuboids, cylinders, spheres, pyramids)
Cubes
Cuboids

- Observation - Oral questions - Written exercises

Geometry

3-D Objects - Cylinders and spheres
3-D Objects - Pyramids

By the end of the lesson, the learner should be able to:
- Describe 2-D shapes in cylinders and spheres
- Demonstrate skills in identifying 2-D shapes in 3-D objects
- Appreciate 2-D shapes in 3-D objects

In groups, learners are guided to:
- Get objects that look like cylinders and spheres
- Identify 2-D shapes on these objects
- Work in groups to identify and count the number of each 2-D shape in cylinders and spheres

What 2-D shapes can we see in cylinders and spheres?

Grade 5 Mathematics Learner's Book
Cylinders
Spheres
Pyramids

- Observation - Oral questions - Written exercises

Data Handling

Data Representation - Collecting data
Data Representation - Recording data in tables

By the end of the lesson, the learner should be able to:
- Collect data of about 30 items relating to real experiences
- Demonstrate skills in collecting data
- Appreciate the process of data collection

In groups, learners are guided to:
- Choose favorite colors, sports, or other categories
- Collect data involving day to day experiences
- Work in groups to collect data on different topics

Why is representing data in tables important?

Grade 5 Mathematics Learner's Book
Data collection sheets
Data collection sheets
Chart paper

- Observation - Oral questions - Written exercises

Data Handling

Data Representation - Drawing tally marks
Data Representation - Frequency tables
Data Representation - Interpreting data
Data Representation - Application of data

By the end of the lesson, the learner should be able to:
- Draw tally marks of the collected data
- Demonstrate skills in using tally marks
- Appreciate the use of tally marks in data representation

In groups, learners are guided to:
- Discuss how to draw tally marks for data
- Represent collected data using tally marks
- Work in groups to record data using tally marks

Why do we use tally marks to represent data?

Grade 5 Mathematics Learner's Book
Data collection sheets
Chart paper
Data tables

- Observation - Oral questions - Written exercises