The focus of this activity is for students to recognise the relationship between the dimensions of a square or rectangle and the perimeter and area of these shapes. Students will need to use a systematic approach to show that they have found all the possible solutions.

##### Purpose
• Identify the qualities of a good mathematician
• Demonstrate the qualities of a good mathematician
• Recognise and provide a definition for perimeter
• Identify the relationship between the perimeter and the dimension of different rectangles
• Explain the definition for area
• Calculate the area of different rectangles
• Identify and use the standard units for perimeter and area
• Use a systematic approach to find the solution to the problem
• Share ideas with others and justify approach
• Listen to the ideas of others and build upon their suggestions

##### YEAR 5 – Using units of measurements
• Choose appropriate units of measurement for length, area, volume, capacity and mass (VCMMG195)
• Calculate the perimeter and area of rectangles and the volume and capacity of prisms using familiar metric units (VCMMG196)

##### At the end of this lesson students should be able to answer the following questions
• What do you know about this problem?
• What will be the perimeter of the rectangles?
• How many different rectangles can you find?
• Are all your rectangles different? (rotations/reflections)
• What are the dimensions of each of these rectangles?
• How do you find the areas?
• Are the perimeters and areas equal?
• What is the relationship between the perimeter and area of rectangles?
• What is the definition for perimeter and area?
• What is the standard unit for perimeter and area?
• How can you show you have found all the possible solutions?

For more information, please download the attached lesson plan.

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