These are the topics related to the standard: Solve real-world and mathematical problems involving area, surface area, and volume."
Here are some specific activities, investigations or visual aids picked out. Click anywhere in the grey area to access the resource.
Area and Perimeter Show that you know the area and perimeter formulas of basic shapes.
Area and Perimeter of a Rectangle Questions on the areas and perimeters of rectangles which will test your problem solving abilities.
Area And Perimeter Video Calculate and solve problems involving perimeter and area of rectangles, triangles, parallelograms, trapezia, kites and composite shapes.
Area Builder An interactive workspace in which to make shapes using square tiles with given areas and perimeters.
Area of a Trapezium Check that you can find the area of a trapezium and use the trapezium area formula for problem solving.
Formulae Pairs Find the matching pairs of diagrams and formulae for basic geometrical shapes.
Surface Area Work out the surface areas of common solid shapes in this collection of exercises.
Surface Area Video Finding the surface are of three dimensional shapes can involve some interesting formulae.
Volume Use formulae to solve problems involving the volumes of cuboids, cones, pyramids, prisms and composite solids.
Volume Video There are simple formulas that can be used to find the volumes of basic three-dimensional shapes.
Here are some exam-style questions on this statement:
- "A container is in the shape of a cuboid as shown in the diagram below." ... more
- "The illustration shows a greenhouse in the shape of a pentagonal prism. The front of the greenhouse is a pentagon with a single line of symmetry. The sides of the greenhouse are vertical." ... more
- "Five identical circles fit exactly inside a rectangle as shown in the diagram." ... more
Click on a topic below for suggested lesson starters, resources and activities from Transum.
- Area Pupils should not only be able to remember and apply area formulae but they should also have a good understanding of what area means. This can be achieved by beginning the study of area with plenty of practical examples. The Pin Board provides an open-ended interactive experimental environment to secure a good fundamental understanding of area. Some examinations provide formulae sheets but it is still important that pupils know the common formulas for finding the areas of basic shapes. They should use these formulae in context to find areas of basic and compound shapes and be able to give answers using appropriate units. Pupils will also learn to find the surface areas of three dimensional shapes, use scale to determine areas from maps and solve real world problems involving areas. See also the topics called Measures, Shape (3D) and Ratio.
- Mensuration Mensuration is the branch of Mathematics dealing with measurement of angles, length, area, and volume. It is linked closely to the topic of Estimation and related to the topics of Angles, Shape and Shave (3D). It is essential for pupils to have an understanding of the units used to measure which include both the more common metric units and the Imperial units still in common usage. We have found a good teaching strategy is to ask each of the pupils to "Bring to the next Maths lesson some visual aid which will help the rest of the class remember the size of a unit of measurement". See Memorable Measures below for the printable resources. This activity provides an association with a unit, a visual aid and a known person which is a great memory enhancer.
- Shape (3D) A particular skill is required to be able to excel in this area of Mathematics. Spatial awareness is important for solving multi-step problems that arise in areas such as architecture, engineering, science, art, games, and everyday life. Children have varying abilities visualizing three dimensional relationships but these abilities can be developed through practical activities and working through mathematical problems. Breaking down three dimensional situations into smaller two dimensional parts in an important strategy for problem solving. See also the "Shape" Starters.
