Perimeter, Area, Volume

Students learn how to find the perimeter and area of rectangles, triangles and other compound shapes.  They later apply this knowledge to find the volume of cuboids and prisms.  This topic takes place in Year 7 Term 3 and is prerequiste knowledge for Area of 2D and 3D shapes.


Perimeter, Area, Volume Lessons


Prerequisite Knowledge
  • measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres
  • calculate and compare the area of rectangles (including squares), and including using standard units, square centimetres (cm2) and square metres (m2) and estimate the area of irregular shapes
  • estimate volume [for example, using 1 cm3 blocks to build cuboids (including cubes)] and capacity [for example, using water]
  • recognise that shapes with the same areas can have different perimeters and vice versa
  • recognise when it is possible to use formulae for area and volume of shapes

Key Concepts
  • The perimeter of a shape is the distance around the outside.  It is measured in units such as centimetres, millimetres, inches, feet, and metres.
  • The area of a shape is a measure of how much space there is on the surface.  Area is measured in square units, written for example as cm2.
  • To find the area of a composite shape it is easier to split the shapes into distinct rectangles and find the sum of each area.
  • The area of a triangle can be found as half the area of a rectangle.
  • The volume of a shape is the space contained inside it.  Volume is measured in cube units, written for example as cm3.


Working mathematically

Develop fluency

  • Use language and properties precisely to analyse 2-D and 3-D shapes

Reason mathematically

  • Begin to reason deductively in geometry,

Solve problems

  • Select appropriate concepts, methods and techniques to apply to unfamiliar and non-routine problems.

Subject Content

Shape

  • Derive and apply formulae to calculate and solve problems involving: perimeter and area of triangles, parallelograms, trapezia, volume of cuboids (including cubes) and other prisms
  • Calculate and solve problems involving: perimeters of 2-D shapes and composite shapes.

Leave a Reply

Your email address will not be published. Required fields are marked *

You may use these HTML tags and attributes:

<a href="" title=""> <abbr title=""> <acronym title=""> <b> <blockquote cite=""> <cite> <code> <del datetime=""> <em> <i> <q cite=""> <s> <strike> <strong>

This site uses Akismet to reduce spam. Learn how your comment data is processed.

Mr Mathematics Blog

Mathematics OFSTED Inspection – The Deep Dive

Earlier this week, my school took part in a trial OFSTED inspection as part of getting ready for the new inspection framework in September 2019. This involved three Lead Inspectors visiting our school over the course of two days. The first day involved a ‘deep dive’ by each of the Lead Inspectors into Mathematics, English […]

How to Solve Quadratics by Factorising

The method of how to solve quadratics by factorising is now part of the foundational knowledge students aiming for higher exam grades are expected to have.   Here is an example of such a question. Solve x2 + 7x – 18 = 0 In my experience of teaching and marking exam papers students often struggle with […]

How Write 3 Part Ratios

When learning how to write 3-part ratios students need to understand how ratios can be made equivalent. The start of the lesson reminds students by asking which of six ratios is the odd one out.  This is presented to the class as they come into the lesson.    Writing Equivalent Ratios  A few students immediately go […]