Your Basket 0 items - £0.00

Properties of shapes teaches students how to describe 2D and 3D shape using key vocabulary. Learning progresses from visualising the different types of triangles and quadrilaterals to understanding how prisms are different from other 3D shapes.

This is the first topic on shape so takes place in Term 1 of Year 7. This is a prequisite topic for perimeter, area and volume and angle properties.

**Prerequisite Knowledge**

- Compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes
- Identify acute and obtuse angles and compare and order angles up to two right angles by size
- Identify lines of symmetry in 2-D shapes presented in different orientations
- Complete a simple symmetric figure with respect to a specific line of symmetry.

**Key Concepts**

- Students should learn how to use the correct terminology to describe the properties of shapes.
- Understanding how each quadrilateral has unique properties helps students in future topics on angles and geometrical reasoning topics.
- A prism has a cross section with edges running parallel to each other. Converging shapes have similar cross-sections.
- Students could investigate why some shapes tessellate and others do not.

**Working mathematically**

Develop fluency

- Use language and properties precisely to analyse numbers, algebraic expressions, 2-D and 3-D shapes, probability and statistics.

Reason mathematically

- Begin to reason deductively in geometry including using geometrical constructions.

Solve problems

- Begin to model situations mathematically and express the results using a range of formal mathematical representations.

**Subject Content**

__Shape__

- Derive and illustrate properties of triangles, quadrilaterals, circles, and other plane figures [for example, equal lengths and angles] using appropriate language and technologies.
- Use the properties of faces, surfaces, edges and vertices of cubes, cuboids, prisms, cylinders, pyramids, cones and spheres to solve problems in 3-D.

August 22, 2019

When getting ready for a new school year I have a list of priorities to work through. Knowing my team have all the information and resources they need to teach their students gives me confidence we will start the term in the best possible way. Mathematics Teaching and Learning Folder All teachers receive a folder […]

July 6, 2019

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 […]

June 30, 2019

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 […]