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Area
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==Lower Key Stage 2==
===Meaning===
[[Area]] is the size of a surface.
| style="height:20px; width:200px; text-align:center;" |The shape has 20 [[square]]s inside it, so the [[area]] is 20 [[square]]s.
| style="height:20px; width:200px; text-align:center;" |This shape has an [[area]] of 14 [[square]]s.
| style="height:20px; width:200px; text-align:center;" |This shape has an [[area ]] of 15 [[square]]s.
|}
==Upper Key Stage 2==
===Meaning===
[[Area]] is the size of a surface.
===About Area===
: If a [[rectilinear]] shape is drawn on a grid the [[area]] can be found by counting the number of [[square]]s inside the shape.
{| class="wikitable"
|-
|[[File:RectilinearGrid1.png|center|200px]]
|[[File:RectilinearGrid2.png|center|200px]]
|[[File:RectilinearGrid3.png|center|200px]]
|-
| style="height:20px; width:200px; text-align:center;" |The shape has 20 [[square]]s inside it, so the [[area]] is 20 [[square]]s.
| style="height:20px; width:200px; text-align:center;" |This shape has an [[area]] of 14 [[square]]s.
| style="height:20px; width:200px; text-align:center;" |This shape has an [[area]] of 15 [[square]]s.
|}
: If an unusual shape is drawn on a grid the [[area]] can be [[estimate]]d. The answer will not be exactly correct, but it will be close.
{| class="wikitable"
|-
|[[File:IrregularShapeGrid1.png|center|200px]]
|[[File:IrregularShapeGrid2.png|center|200px]]
|[[File:CircleGrid1.png|center|200px]]
|-
| style="height:20px; width:200px; text-align:center;" |This shape has 12 full [[square]]s and 3 half [[square]]s. So the [[area]] is 12 + 3.5 = 15.5 squares.
| style="height:20px; width:200px; text-align:center;" |This shape has 10 full [[square]]s, 2/3 of a [[square]], 4 half [[square]]s and 1/3 of a [[square]]. So the [[area]] is 10 + 2/3 + 4 + 1/3 = 15 [[square]]s.
| style="height:20px; width:200px; text-align:center;" |This circle has 12 full [[square]]s, 4 nearly full [[square]]s, 4 nearly empty [[square]]s, 6 half squares. The [[area]] is difficult to [[estimate]] but it is around 19 [[square]]s.
|}
: The [[unit]]s of [[area]] are not usually '[[square]]s', they are either [[Metres Squared|metres squared]] (m<sup>2</sup>) or [[Centimetres Squared|centimetres squared]] (cm<sup>2</sup>).
: The [[area]] of a [[rectangle]] or a [[square]] can also be found if the length of the sides is known.
: To find the [[area]] of a [[rectangle]] or [[square]]; multiply the [[base]] by the [[height]].
{| class="wikitable"
|-
|[[File:SqaureArea1.png|center|200px]]
|[[File:RectangleArea1.png|center|200px]]
|[[File:RectangleArea2.png|center|200px]]
|-
| style="height:20px; width:200px; text-align:center;" |
<math>area = base \times height</math>
<math>area = 5 \times 5</math>
<math>area = 25m^2</math>
| style="height:20px; width:200px; text-align:center;" |
<math>area = base \times height</math>
<math>area = 7 \times 4</math>
<math>area = 28cm^2</math>
| style="height:20px; width:200px; text-align:center;" |
<math>area = base \times height</math>
<math>area = 6\times 4.5</math>
<math>area = 27cm^2</math>
|}
: The [[area]] of parallelograms can be found by multiplying the [[base]] by the [[height]].
: The [[area]] of a triangle can be found by multiplying half the [[base]] by the [[height]].
{| class="wikitable"
|-
|[[File:ParallelogramArea1.png|center|200px]]
|[[File:ParallelogramArea2.png|center|200px]]
|[[File:TriangleArea1.png|center|200px]]
|-
| style="height:20px; width:200px; text-align:center;" |
<math>area = base \times height</math>
<math>area = 6 \times 3</math>
<math>area = 18cm^2</math>
| style="height:20px; width:200px; text-align:center;" |
<math>area = base \times height</math>
<math>area = 4 \times 6</math>
<math>area = 24cm^2</math>
| style="height:20px; width:200px; text-align:center;" |
<math>area = \frac{1}{2} \times base \times height</math>
<math>area = \frac{1}{2} \times 5 \times 7</math>
<math>area = 17.5cm^2</math>
|}
==Key Stage 3==
===Meaning===
[[Area]] is the size of a surface.
===About Area===
: The [[unit]]s of [[area]] are [[Metres Squared|metres squared]] or [[Centimetres Squared|centimetres squared]].
===Equations===
====Area of a Rectangle====
<math>area = base \times height</math>
<math>a = b\times h</math>
====Area of a Triangle====
<math>area = \frac{1}{2} \times base \times height</math>
<math>a = \frac{b \times h}{2}</math>
====Area of a Trapezium====
<math>area = \frac{1}{2} \times (shortside+longside) \times height</math>
<math>a = \frac{1}{2} \times (A+B) \times height</math>
====Area of a Circle====
<math>area = \pi \times (radius)^2</math>
<math>a = \pi r^2</math>
==Key Stage 4==
===Meaning===
[[Area]] is the size of a surface.
===About Area===
: The [[unit]]s of [[area]] are [[Metres Squared|metres squared]] or [[Centimetres Squared|centimetres squared]].
===Equations===
====Area of a Rectangle====
<math>area = base \times height</math>
<math>a = b\times h</math>
====Area of a Triangle====
<math>area = \frac{1}{2} \times base \times height</math>
<math>a = \frac{b \times h}{2}</math>
====Area of a Trapezium====
<math>area = \frac{1}{2} \times (shortside+longside) \times height</math>
<math>a = \frac{1}{2} \times (A+B) \times height</math>
====Area of a Circle====
<math>area = \pi \times (radius)^2</math>
<math>a = \pi r^2</math>
====Surface Area of a Sphere====
<math>area = 4 \times \pi \times (radius)^2</math>
<math>a = 4 \pi r^2</math>
====Surface Area of a Cylinder====
<math>area = 2 \times \pi \times (radius)^2 + 2 \times \pi \times radius \times height</math>
<math>a = 2 \pi r^2 + 2 \pi rh</math>