Maths

Exit Lesson

Maximum and minimum area

In this lesson, we will explore how we can use quadratic graphs to solve maximum and minimum problems.

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Unit quizzes are being retired in August 2023

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Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.Select the word that best fills in the gap: Sometimes ___________ can be used to model situations.

1/5

Q2."I think of two numbers with a difference of 3 and multiply them together." Which expression bests represents the statement?

2/5

Q3.A square is cut out of the rectangle. Give an expression for the area.

3/5

Q4.A square is cut out of the rectangle. What is the maximum area?

4/5

Q5.A square is cut out of the rectangle. What is the minimum area?

5/5

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.Select the word that best fills in the gap: Sometimes ___________ can be used to model situations.

1/5

Q2."I think of two numbers with a difference of 3 and multiply them together." Which expression bests represents the statement?

2/5

Q3.A square is cut out of the rectangle. Give an expression for the area.

3/5

Q4.A square is cut out of the rectangle. What is the maximum area?

4/5

Q5.A square is cut out of the rectangle. What is the minimum area?

5/5

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Worksheet

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This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

Maximum and Minimum Area

Time to show off what you have learnt!

Q1.The length and width of a rectangle add to 4cm. Stacey thinks only 2 different rectangles are possible. Do you agree?

1/6

Q2.A rectangle's length is 2cm greater than its width. Which expression gives the area?

2/6

Q3.A triangle's height is 4 times greater than its base. Which expression gives the area?

3/6

Q4.The length and width of a rectangle add to 14 cm. Which expression gives the area?

4/6

Q5.The length and width of a rectangle add to 14 cm. What is the largest possible area?

5/6

Q6.A triangle has a base and height that sum to 20cm. What is the upper bound of the triangle's area?

6/6

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

Maximum and Minimum Area

Time to show off what you have learnt!

Q1.The length and width of a rectangle add to 4cm. Stacey thinks only 2 different rectangles are possible. Do you agree?

1/6

Q2.A rectangle's length is 2cm greater than its width. Which expression gives the area?

2/6

Q3.A triangle's height is 4 times greater than its base. Which expression gives the area?

3/6

Q4.The length and width of a rectangle add to 14 cm. Which expression gives the area?

4/6

Q5.The length and width of a rectangle add to 14 cm. What is the largest possible area?

5/6

Q6.A triangle has a base and height that sum to 20cm. What is the upper bound of the triangle's area?

6/6

Lesson summary: Maximum and minimum area

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The next lesson in:
Quadratic expressions (9.9)
is:
Distributive property

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