# Maximum and minimum area

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

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

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

# Video

Click on the play button to start the video. If your teacher asks you to pause the video and look at the worksheet you should:

• Click "Close Video"
• Click "Next" to view the activity

Your video will re-appear on the next page, and will stay paused in the right place.

# Worksheet

These slides will take you through some tasks for the lesson. If you need to re-play the video, click the ‘Resume Video’ icon. If you are asked to add answers to the slides, first download or print out the worksheet. Once you have finished all the tasks, click ‘Next’ below.

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

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

## Time to move!

Did you know that exercise helps your concentration and ability to learn?

For 5 mins...

Move around:
Jog

On the spot:
Dance