1. Session 4 Shape, Perimeter, Area and Volume
Work Based Learning Functional Skills Maths
Session 4
Shape, Perimeter, Area and Volume

2. Recap on Measures The metric system is a decimal system of measurement
It is also known as the "International System of Units"—the official system of measurement in almost every country in the world.
The other system used in Britain is the imperial system (also known as British Imperial).

3. Objectives Students should name and classify 2D and 3D shapes
Students should calculate the perimeter of simple 2D shapes
Students should calculate the area of rectangles
Students should calculate simple volume e.g. cuboids
Students should solve area and volume problems using algebra and formulae provided for them.

4. 2D and 3D Name the shapes on the hand-out
What is the difference between 2D and 3D shapes?
What can we measure about these different shapes?
Complete shape naming worksheet before moving on

5. Properties of 2D shapes

6. Properties of 3D shapes

7. Definitions
On mini whiteboards or scrap paper. Define the words perimeter, area and volume.
Once you’ve considered what these words mean, think about what units you could use to measure them.

8. Perimeter
Perimeter is a length, it measures the length around the outside of a 2D shape
Perimeter is the continuous line forming the boundary of a closed geometrical figure
The units of length/perimeter are….? (on next slide)
Please attempt worksheets on Perimeter

9. Units of Length Metric Millimetres
Centimetres (10mm or 1/100 of a metre)
Metres (100cm or 1/1000 of a kilometre)
Kilometres (1000 metres)
Imperial/US
Inches
Feet (12 inchs)
Yards (3 feet)
Furlongs (220yards or 1/8 of a mile)
Miles (1760 yards)

10. Area Area is a measurement of a surface or piece of land
Area is the amount of space taken up by a 2D shape, or a face.
The units of area are…? (on next slide)
Please attempt worksheets on Area

11. Units of Area Metric Square Millimetre (1mm x 1mm)
Square Centimetre (1cm x1cm)
Square Metre (1m x 1m)
Hectare (100m x 100m)
Square Kilometre (1000m x 1000m)
Imperial
Square Inch (1inch x 1 inch)
Square Foot (12 inch x 12 inch)
Square Yard (3 foot x 3 foot)
Acre (43,560 square feet)
Square Mile (1760yards x 1760 yards)

12. Area of compound shapes
Compound shapes are mad up of familiar shapes put together. To find the area, just break them up into rectangles or squares and find the area. Then add up the area of each one to find the total shape.

13. Examples
Try to find the area of these shapes. You may need to work out any missing lengths first.

14. Volume
Volume is the measurement of the 3 dimensional space occupied by an object
Another word for volume is capacity, think of how much a shape/object can hold
The amount of space that a substance or object occupies, or that is enclosed within a container.
The units of volume are….? (on next slide)
Please attempt worksheets on volume

15. Units of Volume Metric Millilitres Litres Millimetres cubed
Centimetres cubed (1cm x 1cm x 1cm)
Metres cubed (1m x 1m x 1m)
Kilometres (1km x 1km x 1km)
Imperial
Fluid Ounces
Cups (8 fluid ounces or ½ of a pint)
Pints (16 fluid ounces)
Gallons (8 pints)
Cubic inch/foot/yard…

16. Formula for Area Area Length Width Length Area Rectangles
Area of rectangle = length x width
Squares
We know that each side of a square is the same length. So for a square:
length x length = area
The area has been found by multiplying a
number by itself (also called squaring).
If we know the area but need to find the length, we have to work out which
number, multiplied by itself gives us that area. (also known as finding the
square root )
Length
Area

17. Formula for volume (cubes and cuboids)

18. Recap of Objectives Students should name and classify 2D and 3D shapes
Students should calculate the perimeter of simple 2D shapes
Students should calculate the area of rectangles
Students should calculate simple volume e.g. cuboids
Students should solve area and volume problems using algebra and formulae provided for them.