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

Sub-topic: Understanding Quadrilaterals and Circles

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:

• Rhombus, Square, Rectangle, Quadrilateral, Circle, Radius, Diameter, Perimeter, Area, Circumference

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. 📚

Quadrilaterals:

• 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:

• The teacher revisits the properties of basic shapes such as triangles and rectangles.
• Lines, Bearing and Angles : How to draw and identify parallel lines and Perpendicular lines Primary 5 Third Term Lesson Notes Mathematics Week 2
• Students recall and discuss what they learned about shapes in previous lessons.

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.