# GM4-6: Relate three-dimensional models to two-dimensional representations, and vice versa.

This means students will focus on key characteristics of 3-dimensional models (shape and relationship of faces and surfaces, faces joining at edges and vertices) to create 2-dimensional drawings of those models. Drawings of objects can take the form of isometric projections, plan views or nets. Students should also be able to construct a model from given 2-dimensional drawings, for example build a model using interlocking cubes from the plan views below.

Students should be able to create nets for simple polyhedral and closed surfaces by visualising the “unwrapping” of those solids, for example the net for a cube.

draw different views of three dimensional shapes

interpret plan views of buildings

- construct nets
- measure masses, capacities, lengths, and temperatures using scales and devices.
- conduct investigations and present results.
- carry out experiments and systematically record the results.

interpret plan views of cube buildings

- construct triangles with specified dimensions using two different techniques
- design and construct nets for three-dimensional objects
- name basic three-dimensional objects, especially those made with equilateral triangles

interpret different views of three dimensional buildings

draw three dimensional shapes on isometric paper

make three dimensional shapes from two dimensional pictures

**Session One**

Use systematic approaches to find all the possible outcomes, e.g. tree diagrams, organised lists.

**Session Two**

Use tables, graphs, and word rules to represent growing patterns.

**Session Three**

Draw cube models using plan views.

**Session Four**

Draw cube models using isometric300

follow geometric instructions to make a cube

follow instructions to make a three dimensional geometric shapes

interpret a contour map

draw a three dimensional modle

build a scale model

- Recognising different views of objects.
- Accurately drawing 2-D representations of 3-D objects.
- Making a perspective drawing of a 3-D object, applying an understanding of vanishing points.

draw a net

solve problems involving division and decimals (Problem 2)

use fractions of two dimensional shapes to solve puzzles (Problem 3)

- Use plans from different viewpoints to represent 3D objects.
- Draw isometric drawings of 3D objects.
- Create nets for polyhedra.
- Interpret the above representations to create a model of the 3D object.

- Construct models of polyhedra using construction materials, like geoshapes or polydrons.
- Use the terms faces, edges and vertices to describe models of polyhedral and look for relationships between these features.
- Anticipate the features of the solid created when a Platonic solid is truncated300

- draw 3D shapes on isometric paper
- explore the relationship between edges, faces and vertices of relevant cube structures
- explore the relationship between the dimensions of a cube and its volume
- interpret drawings of 3D cubes
- calculate volume of 3D cube structures

draw different views of three dimensional shapes