CORE Y8 AUTUMN TERM
UNIT: Geometry and Measures 2 – Measures and Mensuration
TIME ALLOCATION: 6 Hours
PRIOR KNOWLEDGE KEY WORDS STARTER
Identify different nets for area, volume, trapezium, Use whiteboards to
an open cube. parallelogram, cuboid, recap knowledge on
Understand that area is centre, radius, arc, perimeters and areas of
measured in square circumference, diameter, π rectangles,
centimetres (cm2). (pi), surface area, metric
Be able to read and write units, imperial units, Perimeter Starters
standard metric units. conversions, capacity, Area and Perimeter
Name 2D and 3D shapes and length, mass, tonne, Starter.ppt
describe them using hectare, mm3, cm3, m3,
mathematical words ounce (oz), pound (lb),
Calculate area by counting foot(ft), mile, pint, gallon,
squares.
Be able to draw circles given
the radius
LEARNING OBJECTIVES LEARNING OUTCOMES
LEVEL 5
Deduce and use formulae for the area of a The area of the parallelogram is 10
parallelogram and trapezium; cm², calculate its height.
The area of the trapezium is 20 cm² if
the height is 5cm state possible values
for a and b
Calculate areas of compound shapes made from
rectangles and triangles.
Find areas such as
Know & use the formula for the volume of a
cuboid; A cuboid has dimensions 4cm by 7cm by
Calculate the volume of cuboids & shapes made 10cm. Find its volume
from cuboids.
LEVEL 6
Use the formula to calculate the circumference A Ferris wheel has a diameter of 40
and area of a circle metres. How far do you travel in one
revolution of the wheel?
A circle has a radius of 15cm. Calculate
its area
15cm
Use units of measurement to calculate, Estimate, suggest suitable units,
estimate, and solve problems in a variety of measure and calculate
contexts; a) the volume of a matchbox
b) the area of a window, etc
Convert between area measures (mm2 to cm2, Change a) 760g into kilograms
cm2 to m2, and vice versa) and between volume b) 400ml into litres, etc.
measures (mm3 to cm3, cm3 to m3, and vice
versa). Change a) 45 000cm² into m²
b) 3.5 litres into cm³, etc.
Calculate the surface area of cuboids A cuboid has dimensions 4cm by 7cm by
10cm. Find its surface area
ACTIVITIES ICT RESOURCES
A cuboid is made from 72 BBC animal weigh in Finding the circumference
MyMaths (Shape)
cubes. Investigate its largest - Area & Perimeter (powerpoint)
surface area? - Circles
- Volume
Pick's Theorem (NRich)
Isosceles Triangles (NRich)
Painted Cube (NRich)
Cuboid Challenge (NRich)
Sending a Parcel (NRich)
Cuboids (NRich)
All in a Jumble (NRich)
An Unusual Shape (NRich)
On the Edge (NRich)
Fence It (NRich)
Hidden Dimensions (NRich)
Warmsnug Double Glazing
(NRich)
Capacity (Puzzle)
Vanishing Square.ppt
Area Dominoes.doc
Compound AreaLoop.doc
Volume of 24.ppt
Measure Millionaire.ppt
Measure Order Cards.doc
Measure Conversion
Bubbles.doc
Parts of Circles -
Waldomaths
Area of compound shapes
Area of a circle
Area of rectangle and
triangle
Area of a trapezium
Area of a triangle demo
Circumference of a circle
Area of a Parallelogram
Volume and surface area
FUNCTIONAL SKILLS and MPA OPPORTUNITIES
Form a compound shape by pushing together two rectangles. Compare the areas and
perimeters of the rectangles with those of the compound shape. What has changed and why?
What happens if you join the rectangles in a different way? Why?
PLENARIES AND KEY QUESTIONS
If the area of a rectangle is 32 cm², what are the lengths of the sides? Are there other
possible answers? How did you work that out?
Tim says a square with sides of 8 cm has an area of 32 cm². Do you agree with him? Why?
Why is it a good idea to split this shape into rectangles to find the area?
How do you go about calculating the dimensions of the rectangles in the compound shape?
Can you make up a practical problem that requires use of square metres? Estimate the
answer to your problem.
Explain how you convert metres to centimetres. How do you change grams into kilograms,
millilitres into litres, kilometres into metres, etc.?
What is the minimum information you need to be able to find the circumference and area of a
circle?
How would you go about finding the area of a circle if you knew the circumference?