# Perimeter

** MATHEMATICS **

**SECOND TERM**

**WEEK 4/****PRIMARY 6**

**WEEK 6/PRIMARY 5**

**TOPIC: Perimeter **

**LEARNING AREA **

- Lesson One – Introduction to perimeter
- Lesson Two – Perimeter of rectangle
- Lesson Three – Perimeter of compound shapes
- Lesson Four – Quantitative Reasoning

**TIME** – 40 Minutes each.

**LEARNING OUTCOME **

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

- Reviewing work done on perimeters of plane shapes.
- Identifying rectangles that have same area but different perimeters.
- Finding the perimeters of compound shapes.

**RATIONALE**

Perimeter is a distance round a shape. Perimeter means the sum of lengths of all the sides of a plane shape – triangles, other quadrilaterals and higher polygons = sum of lengths of all sides. It can be used to calculate the length of fence surrounding a building or garden. Two shapes may have the same perimeter, but different areas or may have the same area, but different perimeters.

The concept of perimeter will enable pupils to understand the different between areas and perimeter and appreciate the use of perimeter within and around us.

**LEARNING MATERIALS **

- Ruler and measuring tape
- Box – square and rectangular faces
- Chart of triangle, square and rectangle
- Improvises measuring materials like hands, legs, or any length wood or rod.

**PREVIOUS KNOWLEDGE**

- Measuring length
- Triangle
- Square
- Rectangle
- Area of triangle, square and rectangle.

**REFERENCE MATERIALS**

- 9 – Years Basic Education Curriculum
- Lagos State Scheme of work
- New Method Mathematics Book 6
- All Relevant Materials
- Online Materials

**LESSON PLAN/DEVELOPMENT **

**ASEI PDSI PLAN ON PERIMETER **

**LESSON DEVELOPMENT 1 – INTRODUCTION OF PERIMETER document**

Step 1 – Introduction (5 minutes)

**TEACHER’S ACTIVITIES **

- Guides pupils to identify different types of plane shapes on chart.

**PUPIL’S ACTIVITIES **

- Pupils identify triangle (types), square, rectangle, etc..

**LEARNING POINT – Previous knowledge and lesson **

Step 2 – Development (5 minutes)

- Groups the pupils into four groups – A, B, C, and D.
- Guide the pupils to choose a leader and secretary for your group.
- Gives each group learning materials – measuring tape.

** PUPIL’S ACTIVITIES **

- Belong to a group.
- Choose their leader and secretary.
- Received learning materials for their group.

**LEARNING POINT – Pupil’s group, leader and secretary confirmed.**

Step 3 -Development – (10 minutes)

**TEACHER’S ACTIVITIES **

- Takes pupils out to the field and guides them to measure the lengths of the field.
- Names each length according to their group – length A, B C and D.

**PUPIL’S ACTIVITIES **

- Measure the lengths of the School’s field.
- Length A –
- Length B –
- Length C –
- Length D –

**LEARNING POINT – Length **

Step 4 -Development – (10 minutes)

Guides the pupils to add –

- Length (A + B), named it AB
- Length (C + D), named it CD
- Length (AB + CD), named it perimeter.

**Pupil’s Activities **

Working

- Length AB = ____ cm
- Length CD = ____ cm
- Perimeter = ____ cm

**LEARNING POINT – Introduction to perimeter**

Step 5 – CONCLUSION (10 minutes)

**CONCLUSION **

To conclude the lesson for the week, the teacher revises (through questions and answers) the entire lesson and links it to the next lesson. When you add together all the lengths of a shape, you are calculating its perimeter.

**PUPIL’S ACTIVITIES **

- Listen, ask and answer questions.
- Perimeter means the sum of lengths all the sides of a plane shape.

**LEARNING POINT – Conclusion**

**LESSON DEVELOPMENT 2 – PERIMETER OF RECTANGLE document**

Step 1- Introduction (5 minutes)

**TEACHER’S ACTIVITIES **

- What is perimeter?
- Describe the shape – rectangle.
- What is the shape of a field?

**PUPIL’S ACTIVITIES **

- Perimeter means the sum of lengths all the sides of a plane shape.
- Rectangle is a 4 sided shape. 2 opposite sides are equal.
- It is a rectangle.

**LEARNING POINT – Previous knowledge and lesson**

Step 2 – Development (5 minutes)

**TEACHER’S ACTIVITIES **

- Groups the pupils into four groups – A, B, C, and D.
- Guide the pupils to choose a leader and secretary for your group.
- Gives each group learning materials.

**PUPIL’S ACTIVITIES **

- Belong to a group.
- Choose their leader and secretary.
- Received learning materials for their group.

**LEARNING POINT – Pupil’s group, leader and secretary confirmed.**

Step 3 – DEVELOPMENT (10 minutes)

**TEACHER’S ACTIVITIES **

- Guides pupils to arrive at the formula – P = 2(l + b).

- Rectangle has how many sides?
- What is the name of each side?

- Leads pupils to:

- Add the 2 length and 2 breaths together.
- The result is the formula for perimeter. That’s P = 2(L + B).

**PUPIL’S ACTIVITIES **

- Rectangle has 4 sides.
- Rectangle has 2 Lengths and 2 breaths.
- 2 lengths + 2 breaths = 2L + 2B
- Perimeter (P) = 2(L + B)

**LEARNING POINT – Formula of a perimeter**

Step 4 – Development (10 minutes)

**TEACHER’S ACTIVITIES **

Guides the pupils to find the perimeter of:

**PUPIL’S ACTIVITIES **

Working

1. Length = 14 cm and breath = 4cm

P = 2(L + B) = 2(14 + 4) cm

= 2(18) cm = 2 x 18 cm

= 36 cm

2. Length = 12 cm and breath = 32 cm

P = 2(L + B) = 2(12 + 32) cm

= 2(36) cm = 2 x 36 cm = 72 cm.

**LEARNING ACTIVITIES – Perimeter of rectangle**

Step 5 – ASSIGNMENT/CONCLUSION (10 minutes)

**ASSIGNMENT **

Find the perimeter of the following rectangles whose dimensions are given below:

- Length 18 cm and breath 11 cm.
- Length 7 cm and breath 19 cm

**CONCLUSION **

To conclude the lesson for the week, the teacher revises (through questions and answers) the entire lesson and links it to the next lesson.

** PUPIL’S ACTIVITIES **

- Assignment taken.
- Listen, ask and answer questions.

**LEARNING POINT – Assignment and Conclusion**

**LESSON DEVELOPMENT 3 – PERIMETER OF COMPOUND SHAPES document**

Step 1 – Introduction (5 minutes)

**TEACHER’S ACTIVITIES **

Find the perimeter of the following rectangles whose dimensions are given below:

- Length 18 cm and breath 11 cm.
- Length 7 cm and breath 19 cm.

**PUPIL’S ACTIVITIES **

1. P = 2(L + B) = 2 (18 + 11) cm

P = 2(39) cm

P = 2 x 29 cm

P = 58 cm.

2. P = 2(7 + 19) cm

P = 2 (26) cm

P = 2 x 26 cm

P = 52 cm

**LEARNING POINT – Previous knowledge and lesson**

Step 2 – Development (5 minutes)

**TEACHER’S ACTIVITIES **

- Groups the pupils into four groups – A, B, C, and D.
- Guide the pupils to choose a leader and secretary for your group.
- Gives each group learning materials. Box.

**PUPIL’S ACTIVITIES **

- Belong to a group.
- Choose their leader and secretary.
- Received learning materials for their group.

**LEARNING POINT – Pupil’s group, leader and secretary confirmed.**

Step 3 – Development (10 minutes)

**TEACHER’S ACTIVITIES **

- Guides the pupils to identify diagram on the chart and the sample of the diagram.
- Leads pupils to cut out the net of the box.
- Guides the pupils to count the faces of the net.
- Leads pupils to measure each line and add altogether.

** PUPIL’S ACTIVITIES **

- Box
- 6 faces
- 14 lines
- P = (10 + 5 + 5 + 6 + 5 + 5 + 6 + 10 + 6 + 5 + 5 + 6 + 5 + 5) cm = 84 cm

**LEARNING POINT – Compound shape**

Step 4 – Development (10 minutes)

**TEACHER’S ACTIVITIES **

Guides the pupils to find the perimeter of

**PUPIL’S ACTIVITIES **

Working

Perimeter = (10 + 3 + 2 + 2 + 1.5 + 2 + 2 + 2.5 + 1.5 + 2.5 + 3 + 3) cm = 35 cm

**LEARNING POINT – Compound shape**

Step 5 – Assignment/Conclusion (10 minutes)

**ASSIGNMENT **

find the perimeter of

**CONCLUSION **

To conclude the lesson for the week, the teacher revises (through questions and answers) the entire lesson and links it to the next lesson.

**PUPIL’S ACTIVITIES **

- Assignment taken.
- Listen, ask and answer questions.

**LEARNING POINT – Assignment and Conclusion **