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10F Areas, volumes and dimensions
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Y10 Foundation: Topic 22: Areas, volumes and dimensions
Objectives:
Find volumes of shapes by counting cubes
Use formulae for the volume of cuboids
Solve a range of problems involving volume
Convert between units of volume
Solve problems involving the circumference and area of a circle (and simple fractional parts of a circle)
Find the surface area of simple shapes made from triangles, rectangles and parts of a circle
Solve problems involving the volume of a cylinder
Find exact answers by leaving answers in terms of
π
Understand formulae by considering its dimensions, eg identify formulae that represent area from a list
Prior Knowledge
:
Names of triangles, quadrilaterals and polygons
Nets of simple solids
Concept of volume
Ability to give answers to a degree of accuracy
Experience of constructing cubes or cuboids
The ability to substitute numbers into formulae
Key Vocabulary:
Copy and paste here.
Differentiation & Extension:
Additional work using symbolic expressions
Find all possible nets of a cube
Convert between less familiar units, eg cm
3
to mm
3
, cm
3
to litres
Use more complex 2D shapes, eg (harder) sectors of circles
Use more complex 3D shapes, eg spheres
Surface area of cylinder with hemispherical cap
Approximate
π
as 7/22
Consider the dimensions of harder formulae, eg the surface area of a cone (including base)
NOTES
Need to constantly revise the expressions for area and volume of shapes
Using & Applying ideas:
Collaborate here.
Teaching & Learning Resources:
3D Shapes Resources
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Y10 Foundation: Topic 22: Areas, volumes and dimensions
Objectives:
Prior Knowledge:
Key Vocabulary:
Differentiation & Extension:
NOTES
Using & Applying ideas:
Teaching & Learning Resources:
3D Shapes Resources