Area, Perimeter and Volume
Term 2 starting in week 9 :: Estimated time: 2 weeks
- Shapes - same area
- Area and perimeter
- Area of a triangle
- Area of parallelogram
- What is volume? (review)
- Volume counting cubes
- Volume of a cuboid
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Activities for pupils
Here are some related resources in alphabetical order. Some may only be appropriate for high-attaining learners while others will be useful for those in need of support. Click anywhere in the grey area to access the resource.
Area and Perimeter of a Rectangle Questions on the areas and perimeters of rectangles which will test your problem solving abilities.
Area Builder An interactive workspace in which to make shapes using square tiles with given areas and perimeters.
Area of a Triangle Calculate the areas of the given triangles in this self marking quiz.
Area and Perimeter of a Parallelogram Many different ways to practise your skills finding the areas and perimeters of parallelograms.
Area And Perimeter Video Calculate and solve problems involving perimeter and area of rectangles, triangles, parallelograms, trapezia, kites and composite shapes.
Area of a Trapezium Check that you can find the area of a trapezium and use the trapezium area formula for problem solving.
Area and Perimeter Show that you know the area and perimeter formulas of basic shapes.
Area Two How many different shapes with an area of 2 square units can you make by joining dots on this grid with straight lines?
Quad Areas Calculate the areas of all the possible quadrilaterals that can be constructed by joining together dots on this grid.
Polygon Areas Investigate which polygons have an area of 4 square units on this interactive dotty grid.
Volume Video There are simple formulas that can be used to find the volumes of basic three-dimensional shapes.
Volume Use formulae to solve problems involving the volumes of cuboids, cones, pyramids, prisms and composite solids.
Area shapes Investigate polygons with an area of 4 square units. This is your starting point, you can decide how to proceed.
Pin Board Rows and columns of dots that can be joined using straight lines to create shapes.
Areas of Composite Shapes Find the areas of combined (composite) shapes made up of one or more simple polygons and circles.
Converting Standard Units Converting measurements of length, mass, volume and time from one unit of measure to another.
Click on a topic below for suggested lesson Starters, resources and activities from Transum.
- 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 This topic is aimed at the learners of basic geometry, which is the study of size, shape and position. More than other areas of mathematics this topic helps pupils to learn about the definitions and properties of basic shapes. There are many activities provided ranging from simple shape naming games to applying more advanced formulas and theorems. The most popular activities however are those involving pupils to count the number of triangles or rectangles in patterns and come up with effective strategies and justifications for their answers. The work pupils produce for this topic can make very good display material. The use of colour can enhance the diagrams and make the learning environment more conducive to study. There are many connections between the mathematics of shape and Art. There are fascinating works of art based on symmetry, tessellations and transformations.
- 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.
Lesson Starters
Here are some suggestions for whole-class, projectable resources which can be used at the beginnings of each lesson in this block.
1st Lesson
Area Two
How many different shapes with an area of 2 square units can you make by joining dots on this grid with straight lines?
2nd Lesson
Cross Perimeter
Calculate the distance around the given shape
3rd Lesson
Missing Square Puzzle
The missing square puzzle is an optical illusion used to help students reason about geometrical figures.
4th Lesson
Oblongs
Find the dimensions of a rectangle given the perimeter and area.
5th Lesson
Quad Areas
Calculate the areas of all the possible quadrilaterals that can be constructed by joining together dots on this grid.
6th Lesson
Stair Perimeter
Use the information implied in the diagram to calculate the perimeter of this shape.
Some of the Starters above are to reinforce concepts learnt, others are to introduce new ideas while others are on unrelated topics designed for retrieval practice or and opportunity to develop problem-solving skills.
