# 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

**What is a rhombus?**- A rhombus is a type of quadrilateral with all sides of equal length.

**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.

**What is a square?**- A square is a special type of rhombus and rectangle with all sides of equal length.

**What makes a square different from other shapes?**- All sides of a square are equal, and all angles are right angles.

**Give an example of a square in real life.**- A windowpane can be in the shape of a square.

**What is a rectangle?**- A rectangle is a quadrilateral with opposite sides of equal length and all angles equal to 90 degrees.

**Can you explain the properties of a rectangle?**- Opposite sides are equal and parallel, and all angles are right angles.

**How can you recognize quadrilaterals?**- Quadrilaterals are polygons with four sides.

**What are the basic properties of quadrilaterals?**- The sum of all interior angles equals 360 degrees, and opposite sides may be parallel.

**What are the component parts of a circle?**- The radius, diameter, circumference, and center are the main components of a circle.

**Can you give a real-life example of a circle?**- Yes, a coin is a real object that represents a circle.

**How do you calculate the perimeter of a square?**- To find the perimeter of a square, add the lengths of all four sides.

**What about finding the area of a rectangle?**- To find the area of a rectangle, multiply its length by its width.

**What is the distance from the center of a circle to any point on its circumference called?**- That distance is called the radius.

**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

- A _________ has all sides of equal length. a) rhombus b) rectangle c) quadrilateral d) circle
- A _________ is a special type of rhombus and rectangle. a) square b) triangle c) hexagon d) pentagon
- Opposite sides of a _________ are equal and parallel. a) square b) circle c) triangle d) pentagon
- A _________ has all angles equal to 90 degrees. a) square b) rhombus c) triangle d) circle
- A playing card can be in the shape of a _________. a) square b) triangle c) rhombus d) circle
- The sum of all interior angles of a _________ equals 360 degrees. a) square b) rectangle c) quadrilateral d) circle
- 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
- The distance across the circle through its center is called the _________. a) radius b) diameter c) circumference d) center
- A coin can represent a _________ in real life. a) square b) triangle c) rhombus d) circle
- The perimeter of a square can be calculated by adding the lengths of all _________. a) sides b) angles c) diagonals d) radii
- 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
- Opposite sides of a _________ are parallel. a) circle b) square c) triangle d) pentagon
- A windowpane can be in the shape of a _________. a) square b) rhombus c) triangle d) circle
- 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
- 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:**

- What is a rhombus?
- Can you give an example of a square in real life?
- What are the properties of a rectangle?
- How do you calculate the perimeter of a square?
- What is the diameter of a circle?
- How do you find the area of a rectangle?
- Name a real-life object that represents a circle.
- What are the basic properties of quadrilaterals?
- Calculate the circumference of a circle with a radius of 5 cm.
- 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.