Area and perimeter inquiry

Inquiry Maths

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Inquiry Maths

Inquiry prompt

Inquiry Maths

Inquiry Maths

Inquiry prompt

Explain a reason.

Inquiry Maths

Regulatory cards for a structured inquiry

Link to the Regulatory Cards

Decide if the prompt is true.

Change the prompt.

Inquiry Maths

Lines of inquiry

Structured exploration

(a) Double the length and width of the rectangles and draw the new rectangle.

(b) Work out the perimeter and area of each rectangle.

(c) Record your results in a table.

(d) Decide if the claim in the prompt is always, sometimes, or never true.

Inquiry Maths

Decide if the prompt is true.

Structured exploration

(a) Double the length and width of the rectangles and draw the new rectangle.

(b) Work out the perimeter and area of each rectangle.

(c) Record your results in a table.

(d) Decide if the claim in the prompt is always, sometimes, or never true.

Inquiry Maths

Decide if the prompt is true.

Inquiry Maths

Decide if the prompt is true.

Structured exploration

(a) Double the length and width of the rectangles and draw the new rectangle.

(b) Work out the perimeter and area of each rectangle.

(c) Record your results in a table.

(d) Decide if the claim in the prompt is always, sometimes, or never true.

Inquiry Maths

Decide if the prompt is true.

Structured exploration

(a) Double the length and width of the rectangles and draw the new rectangle.

(b) Work out the perimeter and area of each rectangle.

(c) Record your results in a table.

(d) Decide if the claim in the prompt is always, sometimes, or never true.

Inquiry Maths

Decide if the prompt is true.

Independent exploration

(a) Draw your own rectangle. Draw another rectangle with a length and width twice as long as the original rectangle. Repeat the process.

(b) Work out the perimeter and area of each pair of rectangles.

(c) Decide if the claim in the prompt is always, sometimes, or never true.

Inquiry Maths

Change the prompt.

Explain a reason.

Inquiry Maths

Use a diagram to explain why the perimeter doubles and the area increases by a factor of four when you double the length and width of a rectangle.

Explain a reason.

Inquiry Maths

Use a diagram to explain why the perimeter doubles and the area increases by a factor of four when you double the length and width of a rectangle.

Inquiry Maths