# Surface area conjectures

## Lesson details

### Key learning points

1. In this lesson, we will explore patterns related to surface area and form conjectures based on your findings.

### Licence

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.

## Video

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## Worksheet

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## Starter quiz

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### 5 Questions

Q1.
Which statement is true?
Correct answer: Area and surface area have the same units
Area and surface area always have different units
Q2.
This shape was made with 1 centimetre unit cubes. What is the surface area of this shape?
20 centimetres squared
32 centimetres squared
36 centimetres squared
A different number
Q3.
This shape was made with 1 centimetre unit cubes. What is the surface area of this shape?
15 centimetres squared
36 centimetres squared
8 centimetres squared
A different number
Q4.
This shape was made with 1 centimetre unit cubes. What is the surface area of this shape?
16 centimetres squared
27 centimetres squared
33 centimetres squared
34 centimetres squared
Q5.
What is the maximum surface area of combining 10 of these 1cm unit cubes together?
10 cubic centimetres
22 unit centimetres
46 unit centimetres
A different number

## Exit quiz

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### 5 Questions

Q1.
What is the best mathematical definition of a conjecture?
A fact
A proof
A statement that is always true
Correct answer: A statement which we think is true but is not yet proven
Q2.
What is the surface area of this 1cm unit cube?
3 centimetres squared
4 centimetres squared
8 centimetres squared
Q3.
Two 1cm unit cubes have been combined to form the solid shape below. What is the surface area?
12 centimetres squared
18 centimetres squared
6 centimetres squared
Q4.
The pattern is continued so that we have 3 unit cubes stuck together as a stick. What is the surface area?
18 centimetres squared
20 centimetres squared
7 centimetres squared
Q5.
The pattern is continued so that we have 13 unit cubes stuck together as a stick. Which calculation successfully works out the surface area?
4 x 13 - 2
Correct answer: 4 x 13 + 2
6 x 13
6 x 13 -2