Plane Shapes and Their Properties Mathematics Primary 5 Third Term Lesson Notes Week 3

Subject: Mathematics

Class: Primary 5

Term: Third Term

Week: 3

Topic: Shapes and Their Properties

Duration: 1 hour

Behavioural Objectives:

• By the end of the lesson, students should be able to identify and describe the properties of rhombus, square, rectangle, and other quadrilaterals.
• Students should be able to recognize and discuss the component parts of a circle and solve problems involving circles and other shapes.

Key Vocabulary Words:

Learning Resources and Materials:

• Whiteboard and markers
• Shapes cut-outs (rhombus, square, rectangle, circle)
• Real objects representing shapes (playing cards, windowpane, coins)
• Worksheets for practice
• Ruler and compass for drawing circles

Building Background / Connection to prior knowledge:

• Review previously learned shapes and their properties.
• Connect new concepts to real-life situations and objects.

Embedded Core Skills:

• Shape recognition
• Problem-solving
• Critical thinking

Content:

Properties of Plane Shapes

Rhombus:

• Type: A rhombus is a quadrilateral with all sides of equal length.
• Basic Properties:
• All sides are equal.
• Opposite angles are equal.
• Real-life Example: A playing card can be in the shape of a rhombus. ♦️

Square:

• Type: A square is a special type of rhombus and rectangle with all sides of equal length.
• Basic Properties:
• All sides are equal.
• All angles are right angles (90 degrees).
• Real-life Example: A windowpane can be in the shape of a square. 🪟

Rectangle:

• Type: A rectangle is a quadrilateral with opposite sides of equal length and all angles equal to 90 degrees.
• Basic Properties:
• Opposite sides are equal and parallel.
• All angles are right angles (90 degrees).
• Real-life Example: A book can have the shape of a rectangle. 📚

• Identification: Quadrilaterals are polygons with four sides.
• Basic Properties:
• The sum of all interior angles equals 360 degrees.
• Opposite sides are parallel in some quadrilaterals like parallelograms.
• Real-life Example: A picture frame often has the shape of a quadrilateral. 🖼️

Circle:

• Component Parts:
• Radius: The distance from the center of the circle to any point on its circumference.
• Diameter: The distance across the circle through its center, equal to twice the radius.
• Circumference: The perimeter or distance around the circle.
• Center: The point inside the circle from which all points on the circumference are equidistant.
• Real-life Example: A coin can be a real object representing a circle. 💰

Solving Problems:

• Quantitative Reasoning: Calculate the perimeter of a square given the length of one side.
• Real-life Problems: Determine the area of a rectangular field given its length and width.
• Problem-solving Strategies: Understand the properties of shapes to apply them in real-life situations.

Class Activity Discussion

1. What is a rhombus?
• A rhombus is a type of quadrilateral with all sides of equal length.
2. Can you give an example of a rhombus in real life?
• Yes, a playing card, like the diamond suit, is in the shape of a rhombus.
3. What is a square?
• A square is a special type of rhombus and rectangle with all sides of equal length.
4. What makes a square different from other shapes?
• All sides of a square are equal, and all angles are right angles.
5. Give an example of a square in real life.
• A windowpane can be in the shape of a square.
6. What is a rectangle?
• A rectangle is a quadrilateral with opposite sides of equal length and all angles equal to 90 degrees.
7. Can you explain the properties of a rectangle?
• Opposite sides are equal and parallel, and all angles are right angles.
8. How can you recognize quadrilaterals?
• Quadrilaterals are polygons with four sides.
9. What are the basic properties of quadrilaterals?
• The sum of all interior angles equals 360 degrees, and opposite sides may be parallel.
10. What are the component parts of a circle?
• The radius, diameter, circumference, and center are the main components of a circle.
11. Can you give a real-life example of a circle?
• Yes, a coin is a real object that represents a circle.
12. How do you calculate the perimeter of a square?
• To find the perimeter of a square, add the lengths of all four sides.
13. What about finding the area of a rectangle?
• To find the area of a rectangle, multiply its length by its width.
14. What is the distance from the center of a circle to any point on its circumference called?
• That distance is called the radius.
15. How can we solve real-life problems using the properties of shapes like squares, rectangles, and circles?
• We can use these shapes to calculate areas of fields, perimeter of fences, and even the circumference of circular objects like wheels

Evaluation

1. A _________ has all sides of equal length. a) rhombus b) rectangle c) quadrilateral d) circle
2. A _________ is a special type of rhombus and rectangle. a) square b) triangle c) hexagon d) pentagon
3. Opposite sides of a _________ are equal and parallel. a) square b) circle c) triangle d) pentagon
4. A _________ has all angles equal to 90 degrees. a) square b) rhombus c) triangle d) circle
5. A playing card can be in the shape of a _________. a) square b) triangle c) rhombus d) circle
6. The sum of all interior angles of a _________ equals 360 degrees. a) square b) rectangle c) quadrilateral d) circle
7. The distance from the center of a circle to any point on its circumference is called the _________. a) radius b) diameter c) circumference d) center
8. The distance across the circle through its center is called the _________. a) radius b) diameter c) circumference d) center
9. A coin can represent a _________ in real life. a) square b) triangle c) rhombus d) circle
10. The perimeter of a square can be calculated by adding the lengths of all _________. a) sides b) angles c) diagonals d) radii
11. The area of a rectangular field can be determined by multiplying its _________ and _________. a) radius, diameter b) width, radius c) length, width d) diameter, circumference
12. Opposite sides of a _________ are parallel. a) circle b) square c) triangle d) pentagon
13. A windowpane can be in the shape of a _________. a) square b) rhombus c) triangle d) circle
14. The distance from the center of a circle to any point on its circumference is known as the _________. a) diameter b) circumference c) radius d) center
15. Calculate the perimeter of a rectangle with lengths of 5 meters and 8 meters. a) 10 meters b) 16 meters c) 26 meters d) 40 meters

Presentation:

Step 1: The teacher revises the previous topic which was:

Step 2: The teacher introduces the new topic:

• The teacher presents different types of quadrilaterals: rhombus, square, and rectangle, and discusses their properties.
• The teacher introduces the concept of a circle and its components: radius, diameter, and circumference.

Step 3: The teacher allows the pupils to give their own contributions and corrects the pupils when and where necessary:

• The teacher encourages students to share examples of real-life objects that represent each shape.
• Students discuss and compare the properties of different shapes, identifying similarities and differences.

Teacher’s Activities:

• Present shapes cut-outs and real objects representing each shape.
• Explain the properties of each shape and how to calculate perimeter and area.
• Facilitate discussions and provide corrective feedback.

Learners’ Activities:

• Observe and discuss the shapes presented by the teacher.
• Participate in discussions about the properties of shapes and their real-life examples.
• Practice drawing shapes and solving problems on worksheets.

Assessment:

• Observation of students’ participation and understanding during class activities.
• Review of completed worksheets or exercises.
• Informal questioning to assess comprehension of shape properties and problem-solving skills.

Ten Evaluation Questions related to the topic:

1. What is a rhombus?
2. Can you give an example of a square in real life?
3. What are the properties of a rectangle?
4. How do you calculate the perimeter of a square?
5. What is the diameter of a circle?
6. How do you find the area of a rectangle?
7. Name a real-life object that represents a circle.
8. What are the basic properties of quadrilaterals?
9. Calculate the circumference of a circle with a radius of 5 cm.
10. How can we use shapes to solve real-life problems?

Conclusion:

• The teacher goes around to check students’ work and provides necessary corrections.
• Review key concepts and encourage students to practice drawing shapes and solving problems at home.
• Reinforce the importance of understanding shapes and their properties for everyday life and future math lessons.
Spread the word if you find this helpful! Click on any social media icon to share
Use the search box to search for any topics or subjects that you want