Volume and capacity

Measurement and volume
Converting units of measuring volume

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

Define volume.
Do Activity 1 in learner's book pg. 111
Have fun and enjoy the activity.

Learners to define volume.
In groups or in pairs, learners are guided to do Activity 1 in learner's book pg. 111

What is volume?

Spark; Story moja Mathematics
Learner's Book Grade 7 pg. 111-112
Pieces of paper
Digital devices
Learner's Book Grade 7 pg. 112
Ruler

Oral questions Oral Report Observation Written exercise

Volume and capacity

Volume of a cube
Volume of a cuboid

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

Make or draw a cube.
Measure the length, width and height of the cube using a ruler.
Calculate the volume of the cube formed using the measurements.
Enjoy calculating the volume of cube.

In groups, learners to make or draw a cube.
In groups, learners to measure the length, width and height of the cube using a ruler.
Learners to calculate the volume of the cube formed using the measurements.

What is a cube? How do you calculate the volume of a cube?

Spark; Story moja Mathematics
Learner's Book Grade 7 pg. 113
Ruler
Digital devices
Learner's Book Grade 7 pg. 36-37

Oral questions Oral Report Observation Written exercise

Volume and capacity

Volume of a cylinder

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

Draw a cylinder in their exercise books.
State the formula to calculate the volume of a cylinder.
Calculate the volume of a cylinder.
Enjoy working out volume of various cylinders.

In groups, learners to draw a cylinder in their exercise books.
Individually, learners to state the formula to calculate the volume of a cylinder.
Learners to calculate the volume of a cylinder.

What is a cylinder? How do you calculate the volume of cylinder?

Spark; Story moja Mathematics
Learner's Book Grade 7 pg. 114-115
Ruler
Digital devices

Oral questions Oral Report Observation Written exercise

Capacity
Time, distance and speed

Relationship between volume and capacity
Time

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

Define capacity.
State the relationship between volume and capacity.
Outline the formula of converting volume and capacity.
Convert volume to capacity and vice versa.
Appreciate the relationship between volume and capacity.

Learners to define capacity.
In groups or in pairs, learners are guided to state the relationship between volume and capacity.
In groups, in pairs or individually, learners are guided to outline the formula of converting volume and capacity
In groups, in pairs or individually, learners are guided to convert volume to capacity and vice versa

What is the relationship between volume and capacity? How do you convert volume to capacity and vice versa?

Spark; Story moja Mathematics
Learner's Book Grade 7 pg. 115-118
Ruler
Digital devices
Learner's Book Grade 7 pg. 119

Oral questions Oral Report Observation Written exercise

Time, distance and speed

Conversion of units of time
Distance

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

Create a conversion table on units of time.
Convert hours into minutes and vice versa.
Appreciate the importance of reading time.

Learners to create a conversion table on units of time.
Learners to convert hours into minutes and vice versa.

1 hour has how many minutes?

Spark; Story moja Mathematics
Learner's Book Grade 7 pg. 119-120
Ruler
Digital devices
Learner's Book Grade 7 pg. 121-122

Oral questions Oral Report Observation Written exercise

Time, distance and speed

Speed

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

Discuss how long it will take him/her to reach their school.
Estimate the distance from their school to his/her home.
Calculate the speeds in km/h or m/s
Enjoy calculating speed in km/h or m/s.

In groups, learners to discuss how long it will take him/her to reach their school.
In groups, learners to estimate the distance from their school to his/her home.
Learners to calculate the speeds in km/h or m/s

What is the distance covered by a bus travelling at the speed of 80km/h and takes 3 hours?

Spark; Story moja Mathematics
Learner's Book Grade 7 pg. 123-124
Ruler
Digital devices

Oral questions Oral Report Observation Written exercise

Time, distance and speed
Temperature

Conversion of units of speed
Establishing temperature as either hot, warm or cold

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

State the formula of converting km/h to m/s
Convert km/h to m/s and vice versa.
Enjoy converting km/h to m/s and vice versa.

Learners are guided to state the formula of converting km/h to m/s.
Learners are guided to convert km/h to m/s and vice versa.

How do you convert km/h to m/s and vice versa?

Spark; Story moja Mathematics
Learner's Book Grade 7 pg. 124-126
Ruler
Digital devices
Learner's Book Grade 7 pg. 127-129

Oral questions Oral Report Observation Written exercise

Temperature

Measuring temperature
Conversion of units of temperature

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

Identify the tools used to measure temperature.
Compare temperature using hotter, warmer, colder and same as in different situations.
Work out temperature in degree Celsius and kelvin.
Appreciate the tools used to measure temperature.

In groups, learners are guided to identify the tools used to measure temperature.
Learners to compare temperature using hotter, warmer, colder and same as in different situations
Learners to work out temperature in degree Celsius and kelvin

What is temperature?

Spark; Story moja Mathematics
Learner's Book Grade 7 pg. 129-131
Ruler
Digital devices
Learner's Book Grade 7 pg. 131-133

Oral questions Oral Report Observation Written exercise

Money

Profit

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

Define profit.
Select a retailer and a customer and role play the story in learner's book.
Have fun and enjoy role playing.

Learners to define profit.
In groups or in pairs, learners to select a retailer and a customer and role play the story in learner's book

What is profit?

Spark; Story moja Mathematics
Learner's Book Grade 7 pg. 133-134
Ruler
Digital devices

Oral questions Oral Report Observation Written exercise

Money

Profit
Loss

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

State the formula of working out profit.
Calculate the percentage profit.
Appreciate the importance of calculating profits in businesses.

Learners to state the formula of working out profit.
Learners to calculate the percentage profit

How do you calculate profit?

Spark; Story moja Mathematics
Learner's Book Grade 7 pg. 134-135
Ruler
Digital devices
Learner's Book Grade 7 pg. 136

Oral questions Oral Report Observation Written exercise

Money

Loss

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

State the formula of working out loss.
Calculate the percentage loss.
Appreciate the importance of calculating profits in businesses.

Learners to state the formula of working out profit.
Learners to calculate the percentage loss

How do you calculate loss?

Spark; Story moja Mathematics
Learner's Book Grade 7 pg. 136-137
Ruler
Digital devices

Oral questions Oral Report Observation Written exercise

Money

Discount
Discount

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

Define the term discount.
Read and role play the dialogue between a shopkeeper and a customer.
Answer the questions that follow.
Have fun and enjoy role playing.

Learners to define term discount.
In groups, learners to read and role play the dialogue between a shopkeeper and a customer. Answer the questions that follow.

What is discount?

Spark; Story moja Mathematics
Learner's Book Grade 7 pg. 139-140
Ruler
Digital devices
Learner's Book Grade 7 pg. 140-142
Assessment books

Oral questions Oral Report Observation Written exercise

Money

Commission
Bills

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

Define the term commission.
State the formula commission and percentage commission.
Calculate the commission and percentage commission.
Enjoy calculating commission and percentage commission.

Learners to define the term commission.
Learners are guided to state the formula commission and percentage commission.
Learners are guided to calculate the commission and percentage commission

What is the formula of calculating percentage commission?

Spark; Story moja Mathematics
Learner's Book Grade 7 pg. 142-144
Ruler
Digital devices
Learner's Book Grade 7 pg. 144

Oral questions Oral Report Observation Written exercise

Postal charges

Inland postal charges

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

Visit the nearest post office.
List the services they offer.
Discuss the rates they charge for the services they offer.
Have fun and enjoy the visit to the nearest post office.

In groups, learners to visit the nearest post office.
In groups, learners to list the services they offer.
In groups, learners to discuss the rates they charge for the services they offer

Which post office have you visited?

Spark; Story moja Mathematics
Learner's Book Grade 7 pg. 146
Ruler
Digital devices

Oral questions Oral Report Observation Written exercise

Postal charges
International postal charges

Inland postal charges
Surface mail

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

Identify the formula of working out inland postal charges.
Work out inland postal charges.
Appreciate the formula of working out inland postal charges.

Learners are guided to identify the formula of working out inland postal charges.
Learners to work out inland postal charges

What is the formula of calculating inland postal charges?

Spark; Story moja Mathematics
Learner's Book Grade 7 pg. 147-149
Digital devices
Learner's Book Grade 7 pg. 149-152
Ruler

Oral questions Oral Report Observation Written exercise

International postal charges

Airmail
Surface airlifted mail

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

Define the term airmail.
Draw the table of the airmail in learner's book.
Calculate the airmail.
Have fun and enjoy calculating airmail.

Learners to define the term airmail.
Learners are guided to draw the table of the airmail in learner's book.
Learners to calculate the airmail.

What is airmail?

Spark; Story moja Mathematics
Learner's Book Grade 7 pg. 152-154
Ruler
Digital devices
Learner

Oral questions Oral Report Observation Written exercise

International postal charges

Surface airlifted mail

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

State the procedure of calculating surface airlifted mail.
Calculate the surface airlifted mail.
Have fun and enjoy calculating surface airlifted mail.

Learners are guided to state the procedure of calculating surface airlifted mail.
Learners are guided to calculate the surface airlifted mail.

How do you calculate surface airlifted?

Spark; Story moja Mathematics
Learner

Oral questions Oral Report Observation Written exercise

International postal charges

Postal orders

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

Define the term postal orders.
State the use of postal orders.
Draw the table of the postal orders in learner

Learners to define the term postal orders.
Individually, learners to state the use of postal orders.
Learners are guided to draw the table of the postal orders in learner

What are postal orders?

Spark; Story moja Mathematics
Learner

Oral questions Oral Report Observation Written exercise

International postal charges

Mobile money transaction

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

Explain mobile money transactions.
Discuss and list the various ways in which money can be transferred from one person to another.
State the uses of mobile money transactions.
Appreciate the uses of mobile money transaction.

Learners are guided to explain mobile money transactions.
In groups, learners are guided to discuss and list the various ways in which money can be transferred from one person to another.
Learners to state the uses of mobile money transactions

What is mobile money?

Spark; Story moja Mathematics
Learner

Oral questions Oral Report Observation Written exercise

Geometry

Angles; Measuring angles

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

Look around their classroom and identify geometrical shapes.
Find places where right angles are formed.
Adjust the classroom door to form different angles.
Appreciate different kinds of geometrical shapes.

In groups, learners are guided to look around their classroom and identify geometrical shapes then find places where right angles are formed.
In groups, learners are guided to adjust the classroom door to form different angles

What are geometrical shapes?

Spark; Story moja Mathematics
Learner

Oral questions Oral Report Observation Written exercise

Geometry

Angles; Measuring angles
Angles on a straight line

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

Draw the hands of a clock to represent; acute angle, right angle, obtuse angle and straight angle.
Identify the type of angle represented by different figures in learner

Learners are guided to draw the hands of a clock to represent; acute angle, right angle, obtuse angle and straight angle.
Learners are guided to identify the type of angle represented by different figures in learner

How many geometrical shapes do you know?

Spark; Story moja Mathematics
Learner

Oral questions Oral Report Observation Written exercise

Geometry

Angles at a Point

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

Draw the figure in learner

Learners are guided to draw the figure in learner

How do you form angles at a point?

Spark; Story moja Mathematics
Learner

Oral questions Oral Report Observation Written exercise

Geometry

Angles on a transversal

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

Draw two parallel lines and a transversal as shown in learner

In groups, learners to draw two parallel lines and a transversal as shown in learner

What is critical thinking in mathematics?

Spark; Story moja Mathematics
Learner

Oral questions Oral Report Observation Written exercise

Geometry

Angles on a transversal
Angles in a parallelogram

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

Explain the meaning of alternate, corresponding and vertically opposite angles.
Draw alternate angles, corresponding angles and vertically opposite angles.
Enjoy forming angles on a transversal.

Learners to explain the meaning of alternate, corresponding and vertically opposite angles.
Learners are guided to draw alternate angles, corresponding angles and vertically opposite angles

How do you form angles on a transversal?

Spark; Story moja Mathematics
Learner

Oral questions Oral Report Observation Written exercise

Geometry

Angles in a parallelogram
Polygons

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

Define a parallelogram.
Draw a parallelogram as shown in learner

Learners to define a parallelogram.
Learners are guided to draw a parallelogram as shown in learner

Do the angles on a parallelogram bisect each other?

Spark; Story moja Mathematics
Learner

Oral questions Oral Report Observation Written exercise

Geometry

Interior and exterior angles of polygons

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

Draw the shapes in learner

In groups, learners are guided to draw the shapes in learner

What are interior polygons?

Spark; Story moja Mathematics
Learner

Oral questions Oral Report Observation Written exercise

Geometry

Interior and exterior angles of polygons
Relationship between interior angles, exterior angles and number of sides of polygons

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

Extend the diagrams on pg. 172 to have exterior angles.
Measure the extended angles for each of the angles.
Calculate the sum of the exterior angles for each shape.
Enjoy working out the sum of interior and exterior angles of polygons.

In groups, learners to extend the diagrams on the previous lesson to have exterior angles.
Learners to measure the extended angles for each of the angles.
Learners are guided to calculate the sum of the exterior angles for each shape.

What are exterior polygons?

Spark; Story moja Mathematics
Learner

Oral questions Oral Report Observation Written exercise

Geometry
Geometrical Construction

Relationship between interior angles, exterior angles and number of sides of polygons
Measuring angles

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

Trace then extend each polygon on one side to have an exterior angle.
Measure the size of the exterior angle in each polygon.
Copy and complete the table in learner

In groups, learners to trace then extend each polygon on one side to have an exterior angle.
In groups, learners to measure the size of the exterior angle in each polygon.
Learners to copy and complete the table in learner

What is the relationship between interior angles, exterior angles and number of sides of polygons?

Spark; Story moja Mathematics
Learner

Oral questions Oral Report Observation Written exercise

Geometrical Construction

Bisecting Angles

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

Define an acute angle.
Draw an acute Work out activity 2 in learner

Learners to define an acute angle.
Individually, learners to draw an acute.    Appreciate the drawing of angles.

What is an acute angle?

Spark; Story moja Mathematics
Learner

Oral questions Oral Report Observation Written exercise

Geometrical Construction

Bisecting Angles
Construction of angles

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

Write the procedure of bisecting a line.
Draw a straight line AB of any length.
Bisect the line.
Follow instructions to the latter.   Appreciate bisecting of angles.

Learners are guided to write the procedure of bisecting a line.
Learners to draw a straight line AB of any length.
Learners are guided to bisect the line.

A straight line adds up to ------?

Spark; Story moja Mathematics
Learner

Oral questions Oral Report Observation Written exercise

Geometrical Construction

Construction of angles

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

Write the procedure of constructing an angle.
Construct different angles.
Enjoy constructing angles.

Learners to write the procedure of constructing an angle.
Learners are guided to construct different angles

How do you  construct angles?

Spark; Story moja Mathematics
Learner

Oral questions Oral Report Observation Written exercise

Geometrical Construction

Constructing triangles

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

Draw line AB = 4.5 cm
Do activity 4 in learner

Individually, learners to draw line AB = 4.5 cm
Individually, learner to do activity 4 in learner

How do you construct triangles?

Spark; Story moja Mathematics
Learner

Oral questions Oral Report Observation Written exercise

Geometrical Construction

Constructing circles

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

Watch a video on construction of circles.
Construct the circles on the video.
Enjoy using digital devices.

In groups, learners to watch a video on construction of circles.
Learners are guided to construct the circles on the video.

How do you construct circles?

Spark; Story moja Mathematics
Learner

Oral questions Oral Report Observation Written exercise

Data handling and probability

Data collection

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

Define probability.
Do Activity 1 in learner

Learners to define probability.
In groups, learners to do Activity 1 in learner

What is probability?

Spark; Story moja Mathematics
Learner

Oral questions Oral Report Observation Written exercise

Data handling and probability

Frequency distribution table
Choosing a scale

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

Draw a frequency distribution table.
Use the data previously collected and fill in the frequency distribution table.
Appreciate frequency distribution table.

Learners to draw a frequency distribution table.
In groups, learners to use the data previously collected on the number of learners present in their groups to fill in a frequency distribution table.

What are the uses of frequency distribution table?

Spark; Story moja Mathematics
Learner

Oral questions Oral Report Observation Written exercise

Data handling and probability

Pictographs
Bar graphs

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

Explain the meaning of pictographs.
Fill in the table in learner

Learners to explain the meaning of pictographs.
Individually or in pairs, learners to fill in the table in learner

What is a pictograph?

Spark; Story moja Mathematics
Learner

Oral questions Oral Report Observation Written exercise

Data handling and probability

Pie charts

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

Define a pie chart.    Draw a pie chart and  Do activity 6 in learner`s book.  Enjoy doing activity 6.

Learners are guided to define a pie chart.
In groups, learners to do activity 6 in learner`s book

What is a pie chart?

Spark; Story moja Mathematics
Learner

Oral questions Oral Report Observation Written exercise

Data handling and probability

Pie charts
Line graph

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

Outline the procedure of drawing a pie chart.
Draw a pie chart to represent different informations.
Appreciate the use of pie charts.

In groups, learners to outline the procedure of drawing a pie chart.
Learners are guided to draw a pie chart to represent different informations

What do you use to draw a pie chart?

Spark; Story moja Mathematics
Learner

Oral questions Oral Report Observation Written exercise

Data handling and probability

Line graph
Travel graphs

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

Outline the procedure of drawing a line graph.
Draw a line graph to represent different data.
Appreciate the use of line graphs.

Learners are guided to outline the procedure of drawing a line graph.
Learners are guided to draw a line graph to represent different data.

What have you learnt about a line graph?

Spark; Story moja Mathematics
Learner

Oral questions Oral Report Observation Written exercise

Data handling and probability

Travel graphs

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

Outline the procedure of drawing a travel graph.
State the formula of calculating speed.
Draw a travel graph to represent different data.
Appreciate the use of travel graphs.

Learners are guided to outline the procedure of drawing a travel graph.
Learners are guided to state the formula of calculating speed.
Learners are guided to draw a travel graph to represent different data.

What is the formula of calculating speed?

Spark; Story moja Mathematics
Learner

Oral questions Oral Report Observation Written exercise