# Plane Shapes and Their Properties – Triangles, Quadrilaterals and Circles Primary 5 (Basic 5) Term 3 Week 3 Mathematics

### MATHEMATICS

THIRD TERM

WEEK 3

PRIMARY 5

THEME – GEOMETRICAL SHAPES

PREVIOUS LESSON – Meaning and Types of Lines, Angles and Bearing Primary 5 (Basic 5) Term 3 Week 2 Mathematics

**TOPIC – PLANE SHAPES **

**LEARNING AREA**

1. Introduction

2. Meaning, Types and Properties of Triangles

3. Meaning, Types and Properties of Quadrilateral

4. Meaning, Types and Properties of Polygons

5. Meaning and Properties of a Circle

6. Lesson Evaluation and Weekly Assessment (Test)

**LEARNING OBJECTIVES **

By the end of the lesson, most pupils should have attained the following objectives -to

1. identify types and state basic properties of triangles.

2. identify quadrilaterals and state basic properties of quadrilaterals.

3. identify component parts of a circle and draw circles.

**ENTRY BEHAVIOUR**

The pupils can identify and describe shapes like triangle, square, rectangle and circle.

**INSTRUCTIONAL MATERIALS**

The teacher will teach the lesson with the aid of chart showing plane shapes.

**METHOD OF TEACHING **

Choose a suitable and appropriate methods for the lessons.

Note – Irrespective of choosing methods of teaching, always introduce an activities that will arouse pupil’s interest or lead them to the lessons.

**REFERENCE MATERIALS**

1. Scheme of Work

2. 9 – Years Basic Education Curriculum

3. Course Book

4. All Relevant Material

5. Online Information

CONTENT OF THE LESSON

**LESSON 1 – INTRODUCTION **

ACTIVITY 1 – CONCEPT OF PLANE SHAPESPlane shapes are two dimensional figures such as triangles, quadrilaterals and circles.

Plane shapes are closed flat figure that have different characteristics such as the number of sides angles and corners (vertices).

Plane shapes are two-dimensional, e.g., squares, triangles, and circles. The straight lines that make up a plane shape are called sides. The points where two sides meet are called corners.

A side is a straight line that makes part of the shape, and a corner, or vertex, is where two sides meet.

The basic plane shapes are triangle, square, rectangle, oval, circle, and polygons.

ACTIVITY 2 – TYPES OF PLANE SHAPESThere are different types of plane shapes,

1. Triangles

2. Quadrilaterals

3. Polygons

4. Circle

ACTIVITY 3 – TRIANGLESTriangle is a 3 sided plane figure or shape with sum of angles equal to 180°.

CHARACTERISTICS (PROPERTIES) OF TRIANGLEA triangle has following properties,

1. Three sides

2. Three angles

3. Three vertices.

4. The sum of the inside angels equal to 180°.

ACTIVITY 4 – TYPES OF TRIANGLESThe major types of triangles are as follows:

1. Equilateral Triangle

2. Isosceles Triangle

3. Scalene Triangle

1. EQUILATERAL TRIANGLEAn equilateral triangle with all the three sides and angles equal.

Each of the angle is a 60°

2. ISOSCELES TRIANGLEIsosceles triangle any triangle with two equal sides and two equal angles.

Each of the angle is acute angle, that’s less than 90°.

3. SCALENE TRIANGLEA Scalene triangle is any triangle with unequal sides and angles.

There are three types of scalene triangle,

- Right-angled scalene triangle with one of the angle at 90°.

- Acute scalene triangle with all three angles less than 90°.

- Obtuse scalene triangle with one of the angle greater than 90°.

CLASS EXERCISE ON TRIANGLES1. What is a triangle.

2. State 3 types of triangles.

3. Explain the following,

- Equilateral triangle

- Isosceles triangle

- Scalene triangle
4. Draw the 3 types of triangle.

5. Describe the following,

- Right-angled scalene

- Acute scalene triangle

- Obtuse scalene triangle
6. What is the sum of angles in a triangle?

**LESSON 2 – QUADRILATERALS **

ACTIVITY 1 – INTRODUCTION TO QUADRILATERALS

Quadrilateral is a four sided plane figure or shape with sum of angles equal to 360°.

CHARACTERISTICS (PROPERTIES) OF QUADRILATERALA quadrilateral has following properties,

1. Four sides

2. Four angles

3. Four vertices.

4. The sum of the inside angels equal to 360º.

ACTIVITY 2 – TYPES OF QUADRILATERALThere are different types of quadrilateral are as follows:

1. Square

2. Rectangle

3. Rhombus

4. Parallelogram

5. Trapezium

1. SQUAREA square is any quadrilateral with four equal sides and and equal angles.

Each of the angle is at 90º.

2. RECTANGLEA rectangle is any quadrilateral with two opposite sides equal and equal angles.

Each of the angle is at 90º.

3. RHOMBUSRhombus is any quadrilateral with four equal parallel sides and equal opposite angles.

Rhombus is not the same with a square.

4. PARALLELOGRAMA parallelogram is any quadrilateral with equal opposite sides parallel and equal opposite angles.

5. TRAPEZIUMTrapezium is any quadrilateral with two unequal parallel sides and two non parallel sides.

There are 3 types of trapezium,

- Isosceles trapezium with two equal sides.

- Scalene trapezium with no equal sides.

- Right trapezium with two right angles.

ACTIVITY 3 – CLASS EXERCISE1. What is a quadrilateral?

2. State 4 types of quadrilateral?

3. Draw 3 types of quadrilateral?

4. Differentiate between square and rectangle.

5. describe the following:

- Right angle trapezium

- Isosceles trapezium

- Scalene trapezium
7. Rhombus is not a square. Discuss.

8. Each type of quadrilateral is a complete parallelogram except _________.

9. What is the sum of angles in a quadrilateral?

**LESSON 3 – POLYGONS **

ACTIVITY 1 – INTRODUCTION TO POLYGONPentagon is a plane shapes with 3 or more sides and angles.

The following are types of polygons,

1. Triangles

2. Quadrilaterals

3. Pentagon

4. Hexagon

5. Heptagon

6. Octagon

7. Nonagon

8. Decagon

ACTIVITY 2 – PENTAGONPentagon is a polygon with five equal sides and five equal angles.

Each of the angle is 108° with total of 540°.

ACTIVITY 3 – HEXAGONHexagon is a polygon with six equal sides and six equal angles.

Each of the angle is 120° with total of 720°.

ACTIVITY 4 – HEPTAGONHeptagon is a polygon with seven equal sides and seven equal angles.

The sum of the angles is 900°.

Each of the angle is approximately 128.57°.

ACTIVITY 5 – OCTAGONOctagon is a polygon with eight equal sides and eight equal angles.

Each of the angle is 135° with total of 1080°.

ACTIVITY 6 – NONAGONOctagon is a polygon with nine equal sides and nine equal angles.

Each of the angle is 140° with total of 1260°.

ACTIVITY 7 – DECAGONOctagon is a polygon with ten equal sides and ten equal angles.

Each of the angle is 144° with total of 1440°.

CLASS EXERCISE – POLYGONS1. What is a polygon?

2. State 5 types of polygon you know.

3. Polygon is any shape with 3 or more sides. True or False

4. State all the polygon with 5 or more sides.

5. What is the number of sides and sum of angles in each of the following:

- Triangle

- Quadrilateral

- Pentagon

- Hexagon

- Heptagon

- Nonagon

- Decagon
6. Draw the shape of the following:

- Triangle

- Quadrilateral

- Pentagon

- Hexagon

- Heptagon

- Nonagon

- Decagon

**LESSON 4 – CIRCLE**

ACTIVITY 1 – INTRODUCTION TO CIRCLEA circle is a round plane shape figure with no corners or edges.

PROPERTIES OF A CIRCLEThe properties of a circle are as follows:

1. Circumstance

2. Radius

3. Diameter

4. Chord

5. Arc

6. Sector

7. Secant

8. Tangent

9. Semicircle

ACTIVITY 2 – PROPERTIES OF A CIRCLE

1. CIRCUMFERENCEA circle is the distance or line round a circle.

2. RADIUSRadius is the line from the centre point of a circle to the circumstance.

It is half of the diameter.

3. DIAMETERDiameter is the line that passes through the centre point of a circle and touches the two points on the circumference.

It is twice a radius.

4. ChordA chord is a straight line that joins any two points on the circumference.

5. ARCAn arc is a part of the circumference of a circle

There are two types of arc,

- Major arc

- Minor arc
Major arc is the larger of the circumference while the minor is of the smaller part of the circumference.

6. SECTORA sector is a part of a circle enclosed with two radii that connects the arc of a circle.

7. SECANTSecant is a line that cuts the circle into two parts.

Each part is not equal to the other.

8. TANGENTA tangent is the line that touches the circle of a circle.

9. SEMICIRCLESemicircle is the half of the circle.

CLASS EXERCISE – A CIRCLE1. What is a circle?

2. State 5 properties of a circle.

3. differentiate between a radius and a diameter.

4. Explain the following:

- Circumference

- Diameter

- Radius

- Arc

- Sector

- Chord

- Secant

- Tangent
5. Draw and indicate 5 properties of a circle.

**LESSON 5 – REVISION AND WEEKLY ASSESSMENT **

As stated in performance objectives or lesson evaluation.

**PRESENTATION**

To deliver the lesson, the teacher adopts the following steps:

1. To introduce the lesson, the teacher revises the previous lesson. Based on this, he/she asks the pupils some questions;

2. Teacher organizes the pupils in groups or pair depending on the size of the class.

3. Teacher ask the groups or pairs to drawing the following shapes – triangle, square, rectangle and circle.

4. Teacher uses the pupils drawing to introduce the lesson and leads a discussion on the meaning and types of plane shapes.

5. Teacher displays different types of triangles and guides pupils to measure and record the sides and angles of each types of triangle.

6. Teacher uses the activity 5 to discuss the meaning and types of triangles with their properties.

7. Teacher displays different types of quadrilateral and guides pupils to measure and record the sides and angles of each type of quadrilateral.

8. Teacher uses the activity 5 to discuss the meaning and types of quadrilateral with their properties.

9. Teacher displays different types of polygon and guides pupils to compare the number of sides, measure and record the sides and angles of each type of polygon.

10. Teacher uses the activity 5 to discuss the meaning and types of polygon with their properties.

11. Teacher displays chart showing a circle with all the properties.

12. Teacher uses the chart to discuss each property of a circle with appropriate illustrations.

Pupil’s Activities – Identify and describe each property of a circle.

13. Teacher summarizes the lesson on the board with appropriate evaluation.

Pupil’s Activities – Participate actively in the summary of the lesson and write as instructed.

**CONCLUSION**

To conclude the lesson for the week, the teacher revises the entire lesson and links it to the following week’s lesson.

### NEXT LESSON

**LESSON EVALUATION **

Teacher asks pupils,

1. explain the meaning of plane shape with examples.

2. state 5 types of plane shapes.

3. what is a triangle?

4. list and explain each types of triangles.

5. describe the meaning quadrilateral.

6. state and explain each types of quadrilateral.

7. what is a polygon?

8. write short note on the following:

- pentagon

- hexagon

- heptagon

- nonagon

- decagon