Explain how to compare the area of different shapes | Maths

Starter quiz

Match the symbols with the correct meanings.
- <
  
  ⇔
  
  less than ✓
- >
  
  ⇔
  
  greater than ✓
- =
  
  ⇔
  
  equal to ✓
Which of the following statements are correct?
- 28 > 2.8 ✓
- 28 = 2.8
- 28 > 28
- 2.8 > 28
- 2.8 < 28 ✓
Order the following numbers so that they are in ascending order.
- 1
  
  ⇔
  
  0
- 2
  
  ⇔
  
  3.5
- 3
  
  ⇔
  
  5.3
- 4
  
  ⇔
  
  35
- 5
  
  ⇔
  
  53
Select all of the sequences that are in descending order.
- 59, 48.2, 5.7, 0, −2 ✓
- −2, 0, 5.7, 48.2, 59
- 9.2, 6.73, 3.961, 1 ✓
- 1, 3.961, 6.73, 9.2
Select all of the statements that are true.
- a has an area of 8 square units. ✓
- b has an area of 10 square units.
- Both shapes are rectilinear.
- Both shapes are non-rectilinear. ✓
- The small triangles in each shape each make up half a square unit. ✓
Select all of the statements that are true.
- a has an area of 16 square units.
- b has an area of 9 square units. ✓
- a takes up more space than b ✓
- b takes up less space than a ✓
- In both shapes, two small triangles combine to make one square unit. ✓

Select all of the items that would have a greater area than the circular clock face.
- A television screen. ✓
- A 10 p coin.
- A tabletop. ✓
- The stamp on an envelope.
- The front of a classroom door. ✓
Match the words with their correct definitions.
- area
  
  ⇔
  
  The measurement of a flat surface. It measures a 2D space. ✓
- ascending
  
  ⇔
  
  Arranged from smallest to largest. ✓
- descending
  
  ⇔
  
  Arranged from largest to smallest. ✓
- rectilinear
  
  ⇔
  
  A 2D shapes with straight sides and only right angles. ✓
Put the following objects in descending order according to their area.
- 1
  
  ⇔
  
  A school playground.
- 2
  
  ⇔
  
  A classroom window.
- 3
  
  ⇔
  
  The front of your Maths books.
- 4
  
  ⇔
  
  A sticky note.
Select all of the statements that are true.
- a has a greater area than b. ✓
- b has a smaller area than a. ✓
- The two rectangles have the same area (six square units).
- The size of the square units in these shapes is different. ✓
Put the following shapes in ascending order according to their area.
- 1
  
  ⇔
  
  d
- 2
  
  ⇔
  
  b
- 3
  
  ⇔
  
  a
- 4
  
  ⇔
  
  c
Tick all the statements that are true.
- The area of a = the area of b. ✓
- The area of a > the area of b.
- The area of a < the area of b.
- It is impossible to compare the shapes because a is not rectilinear.
- The two shapes have exactly the same area. ✓

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The units of counting area must be the same if you want to compare the areas of different shapes.
The squares used to count the area must be the same size to compare the area of the shapes.
The shape covering the most squares has the greatest area.

If two shapes share a dimension such as length, they must automatically have the same area.

Print out and enlarge the tasks so the shapes may be cut out and one laid on top of the other so that the difference can be seen.