1. Home

GM3-4: Represent objects with drawings and models.

Thanks for visiting NZMaths.
We are preparing to close this site by the end of August 2024. Maths content is still being migrated onto Tāhūrangi, and we will be progressively making enhancements to Tāhūrangi to improve the findability and presentation of content.
 

For more information visit https://tahurangi.education.govt.nz/updates-to-nzmaths

Elaboration on this Achievement Objective

This means students will make drawings of objects, which can take the form of plan views or nets.

drawings.
 

Note that a net is a flat shape that folds to form a solid. Many different nets form the same solid, for example there are eleven different nets that form a cube. At Level Three students need to create two-dimensional drawings of three-dimensional models, as above, and be able to recreate the model when given another person’s drawings of it. Models may be built with interlocking cubes, plasticine, connecting geometric shapes or other materials, for example toothpicks and plasticine.

 

Teaching resources for this Achievement Objective
Resource logo

2D to 3D: Working with shapes and representations

Level Three
Geometry and Measurement
Units of Work
In this unit students interpret 2-dimensional representations of 3-dimensional objects and learn to create their own representations.
  • Construct plan views of solid objects.
  • Create nets that fold to form solid objects.
  • Classify 3-dimensional shapes by their properties.
  • Identify 3-dimensional shapes in the environment.
Resource logo

A Chip off the Old Block

Level Three
Geometry and Measurement
Figure It Out activities
This is a Level 3 Geometry activity from the Figure It Out Series. A PDF of the student activity is included.
  • Building and drawing three-dimensional solids.
Resource logo

All Sorts

Level Three
Integrated
Figure It Out activities
These are level 3 x problems from the Figure It Out series.A PDF of the student activity is included.

find the area of a rectangle (Problem 1)

solve puzzles involving 3 dimensional drawings (Problem 2)

use addition to solve puzzles (Problem 3)

find outcomes using a diagram (Problem 4)

Resource logo

Back to Basics

Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 activity from the Figure It Out series.A PDF of the student activity is included.
Resource logo

Birthday Surprise

Level Three
Integrated
Figure It Out activities
These are level 3 number and geometry problems from the Figure It Out series.A PDF of the student activity is included.

find fractions of whole numbers (Problem 1)

interpret three dimensional drawings (Problem 2)

solve puzzles related to three dimensional shapes

Resource logo

Boxes of Tricks

Level Three
Geometry and Measurement
Figure It Out activities
This is a Level 3 Geometry activity from the Figure It Out Series.A PDF of the student activity is included.

make nets for three dimensional shapes.

Resource logo

Caught in the Nets

Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 geometry strand activity from the Figure it Out series. A PDF of the student activity is included.

draw nets for polyhedral

Resource logo

City Skyline

Level Three
Geometry and Measurement
Figure It Out activities
This is a Level 3 Geometry activity from the Figure It Out Series. A PDF of the student activity is included.
  • Drawing nets for three-dimensional objects.
Resource logo

Crazy Cubes

Level Three
Integrated
Figure It Out activities
This is a level 3 geometry activity from the Figure it Out series. A PDF of the student activity is included.

interpret and draw representations of cube patterns

identify the pattern in a series of cube buildings

Resource logo

Different Viewpoints

Level Three
Geometry and Measurement
Figure It Out activities
This is a Level 3 Geometry activity from the Figure It Out Series. A PDF of the student activity is included.
  • Draw buildings made from cubes.
Resource logo

Dynamic Displays

Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 activity from the Figure It Out series.A PDF of the student activity is included.
Resource logo

Good Points about Triangles

Level Three
Geometry and Measurement
Figure It Out activities
This is a Level 3 Geometry activity from the Figure It Out Series. A PDF of the student activity is included.
  • Classify two dimensional shapes and describe their features.
Resource logo

Inventing Tenting

Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 geometry activity from the Figure It Out theme series.A PDF of the student activity is included.

make a model of a three dimensional shape

Resource logo

Little Boxes

Level Three
Geometry and Measurement
Figure It Out activities
This is a Level 3 Geometry activity from the Figure It Out Series.A PDF of the student activity is included.

represent cube buildings on isometric paper

Resource logo

Making Boxes

Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 geometry activity from the Figure It Out theme series.A PDF of the student activity is included.

design a net

Resource logo

Making More

Level Three
Integrated
Figure It Out activities
These are a level 3 number, geometry, and measurement problems from the Figure It Out series.A PDF of the student activity is included.

use additive strategies to solve problems (Problems 1 and 4)

arrange 3 dimensional pieces to make a cube (Problem 2)

solve problems involving addition and capacities (Problem 3)

Resource logo

Mayan Adventure

Level Three
Integrated
Figure It Out activities
This is a level 3 geometry and algebra activity from the Figure It Out theme series. A PDF of the student activity is included.

make a three dimensional model with multilink cubes from a two dimensional drawing

describe and continue a sequential pattern

explore the Mayan number system

 

Resource logo

Mixing Fruit

Level Three
Integrated
Figure It Out activities
These are level 3 statistics, geometry, algebra, and number problems from the Figure It Out series.A PDF of the student activity is included.

find outcomes using a diagram (Problem 1)

interpret three dimensional drawings (Problem 2)

use algebraic thinking to solve problesm (Problem 3)

explore averages (Problem 4)

Resource logo

Money and More

Level Three
Integrated
Figure It Out activities
These are level 3 geometry, and algebra problems from the Figure It Out series.

interpret three dimensional drawings (Problem 2)

use algebraic thinking to solve problems (Problem 3)

predict the results of paper folding reflections (Problem 4)

Resource logo

Nutting out Nets

Level Three
Geometry and Measurement
Figure It Out activities
This is a Level 3 Geometry activity from the Figure It Out Series. A PDF of the student activity is included.
  • Drawing nets for three-dimensional objects.
Resource logo

Open and Shut

Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 link geometry activity from the Figure It Out series.

explore nets of simple three dimensional boxes

Resource logo

Out of Sight

Level Three
Integrated
Figure It Out activities
This is a level 3 link geometry activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

interpret three dimensional drawings

use a table to find a sequential pattern

Resource logo

Parking Cars

Level Three
Geometry and Measurement
Rich learning activities
The purpose of this activity is for students to fit rectangles of a specified shape into a defined space according to identified criteria.
Resource logo

Perspective on Picasso

Level Three
Geometry and Measurement
Units of Work
In this unit students develop a further understanding of two-dimensional representations of three-dimensional shapes through creating drawings and artworks that explore shapes from different viewpoints.
  • List the features of common three-dimensional shapes.
  • Recognise that the faces of 3D shapes are 2D plane shapes.
  • Explore and understand the defining features of a prism.
  • Draw (freehand) common 3D shapes from different viewpoints.
  • Represent different viewpoints of the constructions with drawings on300
Resource logo

Points of View

Level Three
Geometry and Measurement
Figure It Out activities
This is a Level 3 Geometry activity from the Figure It Out Series.A PDF of the student activity is included.

draw views of three dimensional shapes