Perimeter inquiry

Inquiry Maths

Link to the Inquiry Maths website

Inquiry Maths

Inquiry prompt

Inquiry Maths

Inquiry Maths

Inquiry prompt

Inquiry Maths

Regulatory cards for a structured inquiry

Link to the Regulatory Cards

Explore pairs

of rectangles.

Change the prompt.

Test other cases.

Inquiry Maths

Lines of inquiry

Inquiry Maths

Explore pairs

of rectangles.

Structured exploration

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

(b) Work out the perimeter 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

Explore pairs

of rectangles.

Structured exploration

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

(b) Work out the perimeter 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

Explore pairs

of rectangles.

Structured exploration

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

(b) Work out the perimeter 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

Explore pairs

of rectangles.

Structured exploration

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

(b) Work out the perimeter 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

Independent exploration

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

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

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

Explore pairs

of rectangles.

Test other cases.

Inquiry Maths

1. What happens to the perimeter when you double the width of a rectangle? Draw some examples. Is the statement in the prompt true?
2. What happens to the perimeter when you double the length and the width of a rectangle? Draw some examples. Is the statement in the prompt true?

Inquiry Maths

Change the prompt.

Inquiry Maths