Lesson details

Key learning points

  1. In this lesson, we will explore how to express side lengths of squares in surd form by working backwards from their area.

Licence

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5 Questions

Q1.
What is the area of the square shown below, in square unit?
12
Correct answer: 16
8
Q2.
Which is not a strategy for finding the area of a square on a grid?
Correct answer: Adding all the sides up.
Counting squares.
Finding the area of the surrounding shapes and subtracting it from the larger grid.
Splitting the square into smaller shapes, finding the area of each shape and adding them up.
Q3.
What is the area of the square shown below, in square unit?
10
4
6
Correct answer: 8
Q4.
What is the area of the square shown below, in square unit?
Correct answer: 10
12
6
8
Q5.
What is the area of the square shown below, in square unit?
11
Correct answer: 13
15
9

7 Questions

Q1.
Which of the values shown below is a surd?
Correct answer: √10
10
10.1
Q2.
What is the area of the tilted green square, in square units?
Correct answer: 2
3
4
Q3.
What's the area of the square below, in square units?
10
4
Correct answer: 5
7
Q4.
What's the length of one side of the square shown below?
√10
√4
Correct answer: √5
√7
Q5.
What's the area of the square below, in square units?
Correct answer: 10
12
5
9
Q6.
What's the length of one side of the square shown below?
Correct answer: √10
√12
√5
√9
Q7.
Which of the following squares has a surd side length?
Option 1
Option 2
Option 3
Correct answer: Option 4

Lesson appears in

UnitMaths / Pythagoras's theorem