# GM3-4: Represent objects with drawings and models.

Elaboration on this Achievement Objective

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

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

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)

Figure It Out activities

Geometry and Measurement

Level Three

This is a level 3 activity from the Figure It Out series. A PDF of the student activity is included.

Figure It Out activities

Geometry and Measurement

Level Three

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

Figure It Out activities

Number and Algebra

Level Three

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.

Figure It Out activities

Geometry and Measurement

Level Three

This is a level 3 geometry strand activity from the Figure it Out series.

draw nets for polyhedral

Figure It Out activities

Geometry and Measurement

Level Three

This is a level 3 geometry activity from the Figure it Out series.

interpret and draw representations of cube patterns identify the pattern in a series of cube buildings

Figure It Out activities

Geometry and Measurement

Level Three

This is a level 3 activity from the Figure It Out series. A PDF of the student activity is included.

Figure It Out activities

Geometry and Measurement

Level Three

This is a Level 3 Geometry activity from the Figure It Out Series.

classify two dimensional shapes and describe their features

Figure It Out activities

Geometry and Measurement

Level Three

This unit seeks to connect learning outcomes, and provide problem solving opportunities across all five content strands, number, geometry, statistics, algebra, and measurement. The context of houses is used to develop concepts such as drawing and modelling 3-dimensional objects, using co-ordinate...

draw a diagram showing the top, side, front, and back of a solid figure make the net for a solid figure use co-ordinates on a map to identify the position of houses construct triangles and quadrilaterals by measuring appropriate lengths, and identify the properties of the shapes find all the...

Units of Work

Geometry and Measurement

Level Three

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

Figure It Out activities

Geometry and Measurement

Level Three

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

Figure It Out activities

Geometry and Measurement

Level Three

This unit examines the use of reflective, rotational, and translational symmetry in the design of logos. Logos are designs associated with a particular trade name and usually involve symmetry of some kind. This is to make them aesthetically pleasing as well as functional.

find all the lines of reflection symmetry in a given shape identify the order of rotational symmetry of a given shape (how many times it "maps" onto itself in a full turn) create designs which have reflection symmetry, rotational symmetry (orders 2, 3, 4, 6) and translational symmetry

Units of Work

Geometry and Measurement

Level Three

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

Figure It Out activities

Geometry and Measurement

Level Three

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)

Figure It Out activities

Number and Algebra

Level Three

This unit builds the learning of mathematics around celebrations of Matariki, the Māori New Year. The sessions provide meaningful contexts that highlight Māori culture and provide powerful learning opportunities that connect different strands of mathematics.

Session One Recognise a rhombus, and points in a straight line, in different orientations. Construct a model of all the possible outcomes for rolling a standard dice and use the model to predict the results of an experiment. Session Two Find the next shape in a tukutuku pattern by ‘chunking’ the...

Units of Work

Geometry and Measurement

Level Three

This is a level 3 geometry and algebra activity from the Figure It Out theme series.

make a three dimensional model with multilink cubes from a two dimensional drawing describe and continue a sequential pattern explore the Mayan number system

Figure It Out activities

Geometry and Measurement

Level Three

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)

Figure It Out activities

Statistics

Level Three

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)

Figure It Out activities

Geometry and Measurement

Level Three

This is a level 3 link geometry activity from the Figure It Out series.

explore nets of simple three dimensional boxes

Figure It Out activities

Geometry and Measurement

Level Three

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

Figure It Out activities

Geometry and Measurement

Level Three

The purpose of this activity is for students to fit rectangles of a specified shape into a defined space according to identified criteria.

Rich learning activities

Geometry and Measurement

Level Three

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 on...

Units of Work

Geometry and Measurement

Level Three

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

Figure It Out activities

Geometry and Measurement

Level Three

The purpose of this activity is to engage students in using the properties of irregular polygons to solve a problem.

Rich learning activities

Geometry and Measurement

Level Three

This is a level 3 activity from the Figure It Out series. A PDF of the student activity is included.

Figure It Out activities

Geometry and Measurement

Level Three