3-D shapes (age 11+)

CONCEPTUAL

Mathematics›Geometry|Ages 11—13|ID: mt_nRksLqt-iR

Use the properties of faces, surfaces, edges, and vertices of 3-D shapes (cubes, cuboids, prisms, cylinders, pyramids, cones, and spheres) to solve problems, including visualising cross-sections

Mastery Evidence

Count and describe the faces, edges, and vertices of a triangular prism and a square-based pyramid
Describe the 2-D cross-section produced by slicing a cylinder horizontally or a cone vertically
Use properties of 3-D shapes to determine whether a given net will fold into a specified solid

Assessment Prompt

“If [child] slices a cylinder straight across the middle like cutting a tin of beans in half, can they describe the shape of the cut surface? What about slicing at an angle?”

Curriculum Standards2 alignments

7.G.3Common Core State Standards for Mathematics

Describe the two-dimensional figures that result from slicing three-dimensional figures

Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.

KS3.Maths.Geo.15The national curriculum in England

Properties of 3-D Shapes

use the properties of faces, surfaces, edges and vertices of cubes, cuboids, prisms, cylinders, pyramids, cones and spheres to solve problems in 3-D

Mathematics · Key Stage 3

Prerequisites2

3-D shapes (age 10+)
hardAges 10—11
3-D shapes (age 9+)
hardAges 9—10

Show full prerequisite tree

3-D shapes (age 10+) hard
Cross-section visualisation extends KS2 building 3D shapes and making nets
- Nets of 3-D Shapes hard
  Recognising, describing, and building 3-D shapes by making nets is the core application of net literacy
- 3-D shapes (age 9+) hard
  Building 3-D shapes extends Y5 recognition of 3-D from 2-D representations
  - 2-D shapes (age 7+) hard
    Y3 drawing 2D and making 3D shapes is prerequisite to identifying 3D from 2D representations
    - Edges, vertices, and faces hard
      Making/describing 3-D shapes requires knowing their properties (edges, vertices, faces)
      - 3-D shapes hard
        Describing 3-D properties (edges, vertices, faces) requires knowing the shapes first
      - Nets of 3-D Shapes soft
        Counting edges, vertices, and faces is reinforced by analysing nets where each face is visible as a separate 2-D shape
      - 3-D shapes (age 5+) hard
        Formal property description extends informal analysis of shapes
        
        2-D shapes hard
        Analysing and comparing shapes requires being able to name them first
        
        3-D shapes hard
        Analysing 3-D shapes requires recognising and naming them
    - 2-D shapes (age 6+) hard
      Drawing 2-D shapes requires knowing their properties
      - Angles in triangles (age 6+) soft
        Understanding defining attributes supports describing shape properties formally
        
        2-D shapes hard
        Distinguishing defining vs non-defining attributes requires knowing common 2-D shape names first
        
        3-D shapes (age 5+) hard
        Identifying defining attributes builds on informal analysis and comparison of shapes
        
        2-D shapes hard
        Analysing and comparing shapes requires being able to name them first
        
        3-D shapes hard
        Analysing 3-D shapes requires recognising and naming them
      - 2-D shapes hard
        Describing properties of 2-D shapes (sides, symmetry) requires knowing the shapes first
      - 3-D shapes (age 5+) hard
        Formal property description extends informal analysis of sides and vertices
        
        2-D shapes hard
        Analysing and comparing shapes requires being able to name them first
        
        3-D shapes hard
        Analysing 3-D shapes requires recognising and naming them
    - Nets of 3-D Shapes soft
      Drawing 2-D shapes and making 3-D shapes from materials is supported by being able to sketch and interpret nets
  - Nets of 3-D Shapes hard
    Identifying 3-D shapes from 2-D representations requires understanding the relationship between a net and its solid
3-D shapes (age 9+) hard
KS3 3D shape properties extend KS2 identifying 3D shapes from 2D representations
- 2-D shapes (age 7+) hard
  Y3 drawing 2D and making 3D shapes is prerequisite to identifying 3D from 2D representations
  - Edges, vertices, and faces hard
    Making/describing 3-D shapes requires knowing their properties (edges, vertices, faces)
    - 3-D shapes hard
      Describing 3-D properties (edges, vertices, faces) requires knowing the shapes first
    - Nets of 3-D Shapes soft
      Counting edges, vertices, and faces is reinforced by analysing nets where each face is visible as a separate 2-D shape
    - 3-D shapes (age 5+) hard
      Formal property description extends informal analysis of shapes
      - 2-D shapes hard
        Analysing and comparing shapes requires being able to name them first
      - 3-D shapes hard
        Analysing 3-D shapes requires recognising and naming them
  - 2-D shapes (age 6+) hard
    Drawing 2-D shapes requires knowing their properties
    - Angles in triangles (age 6+) soft
      Understanding defining attributes supports describing shape properties formally
      - 2-D shapes hard
        Distinguishing defining vs non-defining attributes requires knowing common 2-D shape names first
      - 3-D shapes (age 5+) hard
        Identifying defining attributes builds on informal analysis and comparison of shapes
        
        2-D shapes hard
        Analysing and comparing shapes requires being able to name them first
        
        3-D shapes hard
        Analysing 3-D shapes requires recognising and naming them
    - 2-D shapes hard
      Describing properties of 2-D shapes (sides, symmetry) requires knowing the shapes first
    - 3-D shapes (age 5+) hard
      Formal property description extends informal analysis of sides and vertices
      - 2-D shapes hard
        Analysing and comparing shapes requires being able to name them first
      - 3-D shapes hard
        Analysing 3-D shapes requires recognising and naming them
  - Nets of 3-D Shapes soft
    Drawing 2-D shapes and making 3-D shapes from materials is supported by being able to sketch and interpret nets
- Nets of 3-D Shapes hard
  Identifying 3-D shapes from 2-D representations requires understanding the relationship between a net and its solid

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