Subject : Mathematics
Topic : Area of Regular Shapes like square, Rectangle, etc
Properties of a square
- The diagonals of a square bisect each other and meet at 90°
- The diagonals of a square bisect its angles.
- Opposite sides of a square a9a9re both parallel and equal in length.
- All four angles of a square are equal. …
- All four sides of a square are equal.
- The diagonals of a square are equal.
Properties of a rectangle
1.Opposite sides are equal.
2.All angles in a rectangle is 90 degrees.
3.Diagonals are equal and they bisect each other.They are also congruent.
4.Perimeter of a rectangle is 2(l+b) where l is length and b is breadth.
5.Area of rectangle is l*b.
6.Square of length of diagonal is the sum of squares of length and breadth.
AREA OF RECTANGLE AND SQUARE
To find the area by counting sguares could take a long time especially if you have to find the area of a large surface There is a formula to calculate the area of a rectangle or a square.
The formulary for calculating the area of a rectangle is A = L×B
Lenght = 8cm
A= L× L
Area: L xB
A= 3 x 5ft.
A= 7mm x7mm
- Calculate the area of the following:
- Rectangle 9cm by 3cm. 2. Rectangle 4cm by 7cm. 3. Rectangle 10cm by 2cm
- Rectangle 9cm by 1cm. 5. Rectangle 2cm by 5cm. 6. Rectangle 9cm by 2cm
- Calculate the area of the following:
- Square side 5cm. 2. Square side 3cm. 3. Square side 6cm. 4. Square side 4cm.
- Square side 8cm. 6. Square side 7cm
Hello, class! Today, we are going to learn about the area of regular shapes. We will focus on shapes like squares and rectangles. The area is the amount of space inside a shape, and it is measured in square units. Let’s dive into it with some examples!
Example 1: Finding the Area of a Square
Let’s say we have a square with a side length of 5 units. To find the area, we multiply the length of one side by itself. So, the area of this square would be 5 units × 5 units = 25 square units. Therefore, the area of this square is 25 square units.
Example 2: Finding the Area of a Rectangle
Suppose we have a rectangle with a length of 6 units and a width of 4 units. To find the area of a rectangle, we multiply its length by its width. In this case, the area of the rectangle would be 6 units × 4 units = 24 square units. So, the area of this rectangle is 24 square units.
Example 3: Finding the Area of a Different Square
Let’s consider another square with a side length of 8 units. Following the same procedure, we multiply the length of one side by itself to find the area. Thus, the area of this square would be 8 units × 8 units = 64 square units. Therefore, the area of this square is 64 square units.
Example 4: Finding the Area of a Different Rectangle
Now, let’s work with a rectangle that has a length of 10 units and a width of 3 units. To find its area, we multiply the length by the width. In this case, the area of the rectangle would be 10 units × 3 units = 30 square units. So, the area of this rectangle is 30 square units.
Example 5: Finding the Area of a Square with Fractions
Suppose we have a square with a side length of 1/2 unit. To find the area, we multiply the length of one side by itself. Therefore, the area of this square would be (1/2 unit) × (1/2 unit) = 1/4 square units. So, the area of this square is 1/4 square units.
Remember, to find the area of a square, we multiply the length of one side by itself, and to find the area of a rectangle, we multiply the length by the width. I hope these examples have helped you understand how to find the area of regular shapes. Keep practicing, and you’ll become experts in no time!
Formulae of Square and Rectangle
1. Area of a Square:
The area of a square is found by multiplying the length of one side by itself.
Formula: Area = side length × side length
Symbolically: A = s × s, where A represents the area and s represents the side length of the square.
2. Area of a Rectangle:
The area of a rectangle is calculated by multiplying the length by the width.
Formula: Area = length × width
Symbolically: A = l × w, where A represents the area, l represents the length, and w represents the width of the rectangle.
These formulas will help you find the area of a square and a rectangle. Remember to substitute the appropriate values for the side length, length, and width to get the actual area.
Lesson Plan: Area of Regular Shapes (Square, Rectangle, etc.)
Grade: Primary 3
Topic: Area of Regular Shapes like Square, Rectangle, etc.
1. Understand the concept of area as the amount of space inside a shape.
2. Identify regular shapes such as squares and rectangles.
3. Calculate the area of squares and rectangles using appropriate formulas.
4. Apply the knowledge of area to solve real-life problems.
5. Develop critical thinking skills and problem-solving abilities.
Embedded Core Skills:
1. Numeracy Skills: Applying mathematical operations to find areas.
2. Measurement Skills: Understanding units of area measurement.
3. Critical Thinking: Analyzing and solving problems related to area.
4. Communication Skills: Expressing mathematical reasoning and solutions clearly.
1. Chart paper or whiteboard and markers
2. Square and rectangle cutouts or shape cards
3. Rulers or measuring tapes
4. Worksheets or activity sheets
5. Real-life objects with square or rectangular shapes (optional)
1. Begin the lesson by introducing the concept of area, explaining that it is the measure of the space inside a shape.
2. Display the regular shapes (square and rectangle) and discuss their properties, such as equal sides for a square and opposite sides being equal and parallel for a rectangle.
3. Write the formulas for finding the area of a square and a rectangle on the board or chart paper.
4. Provide visual examples of squares and rectangles along with their respective measurements to demonstrate the calculation of area.
5. Explain the importance of using appropriate units (e.g., square units) when expressing area measurements.
1. Engage students by asking questions to assess their prior knowledge about shapes and their attributes.
2. Introduce the concept of area and its relevance in everyday life, giving examples of real-life situations where understanding area is important.
3. Present the formulas for finding the area of a square and a rectangle, explaining the significance of each term.
4. Demonstrate the step-by-step process of calculating the area using sample problems on the board.
5. Encourage students to participate actively by answering questions, solving problems, and engaging in discussions.
6. Provide additional examples and practice exercises to reinforce understanding.
7. Use visual aids, manipulatives, and real-life objects to enhance understanding and make the topic more relatable.
8. Monitor students’ progress and provide individual or group assistance as needed.
9. Facilitate class discussions to encourage students to explain their reasoning and solutions.
10. Conclude the lesson by summarizing the key points and highlighting the practical applications of area in different contexts.
1. Participate in class discussions and answer questions about shapes, their properties, and their relevance to everyday life.
2. Take notes on the definition and concept of area.
3. Solve problems on the board or worksheets, applying the area formulas for squares and rectangles.
4. Engage in hands-on activities by measuring and calculating the area of square and rectangular objects using rulers or measuring tapes.
5. Work in pairs or groups to solve area-related problems and discuss their solutions.
6. Share their thought processes and solutions with the class during interactive sessions.
7. Complete practice exercises or worksheets independently or collaboratively.
8. Participate in class discussions and provide explanations for their solutions.
9. Actively engage in peer learning by listening to others’ perspectives and discussing alternative approaches.
10. Reflect on their learning and ask questions to clarify any doubts or difficulties.
1. Formative Assessment: Monitor students’ participation and understanding during class discussions, group work, and individual practice.
2. Summative Assessment: Assign an activity or worksheet for students to apply their knowledge and calculate the area of squares and rectangles. Assess their ability to use the appropriate formulas and units of measurement.
1. What is the definition of area?
2. Name two regular shapes that we can find the area of.
3. How do you calculate the area of a square? Provide an example.
4. What is the formula for finding the area of a rectangle? Give an example.
5. Explain the importance of using square units when measuring area.
6. Can you find the area of a shape without knowing its dimensions? Why or why not?
7. If a square has a side length of 7 units, what is its area?
8. If a rectangle has a length of 9 units and a width of 3 units, what is its area?
9. How can you check if your area calculation is correct?
10. Give an example of a real-life situation where understanding area is important.
Perimeter of regular polygon
In conclusion, today we learned about the area of regular shapes such as squares and rectangles. We understood that area is the amount of space inside a shape and can be measured using square units. We learned the formulas for finding the area of a square and a rectangle and practiced applying these formulas to solve problems. Remember to pay attention to the measurements and units when calculating the area. Keep practicing and exploring the concept of area in different contexts to strengthen your understanding. Great job, everyone!
Note: The lesson plan provided is a general guideline. Please modify it according to the specific needs and requirements of your classroom and curriculum.
Third Term Examinations Primary 3 Mathematics