Surds from tilted squares
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Lesson details
Key learning points
- In this lesson, we will explore how to express side lengths of squares in surd form by working backwards from their area.
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This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.
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5 Questions
Q1.
What is the area of the square shown below, in square unit?
12
8
Q2.
Which is not a strategy for finding the area of a square on a grid?
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
Q4.
What is the area of the square shown below, in square unit?
12
6
8
Q5.
What is the area of the square shown below, in square unit?
11
15
9
7 Questions
Q1.
Which of the values shown below is a surd?
10
10.1
Q2.
What is the area of the tilted green square, in square units?
3
4
Q3.
What's the area of the square below, in square units?
10
4
7
Q4.
What's the length of one side of the square shown below?
√10
√4
√7
Q5.
What's the area of the square below, in square units?
12
5
9
Q6.
What's the length of one side of the square shown below?
√12
√5
√9
Q7.
Which of the following squares has a surd side length?
Option 1
Option 2
Option 3