Pro/Desktop in Maths
Year 10  Volume and Surface Area
This section focusses on two year 10 lessons, one on volume, mass and density and the other on surface area.
Objectives
From the Edexcel GCSE syllabus:
Shape, Space and Measure
MA3 1
 select and combine known facts and problemsolving strategies to solve complex problems
 interpret, discuss and synthesise geometrical information presented in a variety of forms
MA3 4
 find areas of rectangles, recalling the formula, understanding the connection to counting squares and how it extends this approach
 recall and use the formulae for the area of a parallelogram and a triangle
 find the surface area of simple shapes using the area formulae for triangles and rectangles
 calculate perimeters and areas of shapes made from triangles and rectangles
 find volumes of cuboids, recalling the formula and understanding the connection to counting cubes and how it extends this approach
 calculate volumes of right prisms and of shapes made from cubes and cuboids
 find circumferences of circles and areas enclosed by circles, recalling relevant formulae
 understand and use compound measures, including density
MA3 3
 solve problems involving surface areas and volumes of prisms, pyramids, cylinders, cones and spheres
 solve problems involving more complex shapes and solids, including segments of circles and frustums of cones
Some of these objectives come from the foundation syllabus, some from intermediate and some from higher. Only those appropriate to the shape being used apply. The task is generic, differentiation is done by selecting the appropriate shape for the students.
Resources
Lesson Plans (Word Docs)
Pro/Desktop Files

Egg Timer
 Cylinder, Hemisphere, Frustrum of a Cone
 Robot 1
 Cube, Cuboid
 Robot 2
 Cuboid, Triangular Prism, Cylinder
 Rocket
 Cylinder, Cone, Frustrum of a Cone
 Toy Car 1
 Cylinder, Cuboid, Trapezoidal Prism
 Toy Car 2
 Cylinder, Various Prisms
 Toy House 1
 Cube, Cuboid, Trapezoidal Prism
 Toy House 2
 Cube, Cuboid, Triangular Prism
 Tractor
 Cylinder, Cuboid, Trapezoidal Prism
Worksheets (Word Docs)