Module 9  Area & Volume  
Teacher Guide  Lesson Resources TES Picks 1 Picks 2  Lesson Plans  Exam Questions  Probing Questions 
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Module  Grade  Topic 
Description 

9 
1 
1 
Begin to recognise nets of familiar 3D shapes, e.g. cube, cuboid, triangular prism, squarebased pyramid 




Nets of 3D Shapes 





9 
2 
2 
Measure and draw lines to the nearest millimetre; find the perimeter of simple straightsided shapes 











9 
2 
3 
Find areas and perimeters of simple shapes (including irregular shapes) by counting squares, and volumes of simple shapes by counting cubes. 




Perimeter 








Area Introduction 






9 
3 
4 
Explore the geometry of cuboids (including cubes) and shapes made from cuboids; find the volumes of cuboids, recalling the formula; draw and interpret the net of a cuboid. Describe common 3D shapes and know their names 




Volume of Cuboids 








Compound Rectangles 






9 
3 
5 
Find the area and perimeter of a rectangle. 




Areas of Rectangles 





9 
4 
6 
Recall the meaning of circle, chord, tangent, arc, sector, segment; find circumferences and areas enclosed by circles, recalling relevant formulae. 




Circumference of a Circle 




Area of a Circle 

9 
4 
7 
Recall and use the formula for the area of a parallelogram and a triangle; use the formula for the area of a trapezium; calculate perimeters and areas of shapes made from triangles and rectangles; find the surface area of simple shapes using the area formulae for triangles and rectangles. 




Area of a Parallelogram 








Area of a Triangle 







Area of a Trapezium 







Areas of Compound Shapes 




9 
5 
8 
Solve problems involving the surface area and volume of prisms, including cylinders; convert between area measures and volume measures. 




Perimeter, Area and Volumes of shapes made from cuboids 







Nets and Surface Areas 





Volumes of Prisms 





Volumes of Cylinders 


9 
6 
9 
Solve problems involving the lengths of arcs, areas of sectors and the volume of pyramids, cones and spheres. 




Arcs and Sectors 




Arcs , Sectors and Segments 




9 
7 
10 
Understand the difference between the formulae for perimeter, area and volume by considering dimensions. 




Dimensions of Formulas 





9 
7 
11 
Calculate the area of a triangle using ½absinC. Formula not given on the Exam Paper 




Trig Area of a Triangle 





9 
8 
12 
Understand and use the effect of enlargement on length, area and volume of shapes and solids, including the use of negative scale factors. 




Area Scale Factor 








Volume Scale Factor 





9 
8 
13 
Calculate bounds in area and volume questions 











9 
9 
14 
Solve problems involving surface areas and volumes of pyramids, cylinders, cones and spheres, and problems involving more complex shapes including segments of circles and frustums of cones. 




Volume of Cones and Spheres 





Complex Surface Areas 



