GM4-6: Relate three-dimensional models to two-dimensional representations, and vice versa.
Elaboration on this Achievement Objective
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.
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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.
Teaching resources for this Achievement Objective
Level Four
Geometry and Measurement
Figure It Out activities
This is a level 4 geometry strand activity from the Figure It Out series. A PDF of the student activity is included.
Level Four
Geometry and Measurement
Figure It Out activities
This is a level 4 geometry strand activity from the Figure It Out series. A PDF of the student activity is included.
Level Four
Integrated
Units of Work
This unit seeks to connect learning outcomes across all five content strands, number, geometry, statistics, and measurement. However the context lends itself strongly to use of measurement and statistics. In the unit students investigate questions that involve them in experiment design, data...
Level Four
Geometry and Measurement
Figure It Out activities
This is a level 4 geometry strand activity from the Figure It Out series. A PDF of the student activity is included.
Level Four
Geometry and Measurement
Figure It Out activities
This is a level 4 activity from the Figure It Out series.A PDF of the student activity is included.
Level Four
Geometry and Measurement
Units of Work
In this unit, students will identify the properties of triangles, construct both equilateral and irregular triangles using either ruler and protractor or ruler and compass, and make nets.
Level Four
Geometry and Measurement
Figure It Out activities
This is a level 4 link geometry activity from the Figure It Out series.
Level Four
Geometry and Measurement
Problem solving activities
Level Four
Geometry and Measurement
Figure It Out activities
This is a level 4 geometry strand activity from the Figure it Out series. A PDF of the student activity is included.
Level Four
Integrated
This unit provides a set of learning tasks that integrate across the strands of the Mathematics and Statistics learning area of the New Zealand Curriculum and provide opportunities for assessment of student achievement across those strands. Each session may involve more than one lesson, especially...
Level Four
Geometry and Measurement
Figure It Out activities
This is a level 4 geometry strand activity from the Figure It Out series. A PDF of the student activity is included.
Level Four
Geometry and Measurement
Figure It Out activities
This is a level 4 activity from the Figure It Out series.A PDF of the student activity is included.
Level Four
Geometry and Measurement
Figure It Out activities
This is a level 4 geometry strand activity from the Figure It Out series. A PDF of the student activity is included.
Level Four
Geometry and Measurement
Figure It Out activities
This is a level 4 geometry activity from the Figure It Out theme series. A PDF of the student activity is included.
Level Four
Geometry and Measurement
Student e-Ako
This interactive learning module supports students to explore how viewpoints and perspective can help to draw a more accurate representation of a three-dimensional object.
Level Four
Geometry and Measurement
Rich learning activities
The purpose of this activity is to engage students in relating two dimensional projections to a three dimensional perspective in the context of a scale and unit conversion measurement problem.
Level Four
Geometry and Measurement
Figure It Out activities
This is a level 4 geometry strand activity from the Figure It Out series. A PDF of the student activity is included.
Level Four
Level Five
Integrated
Figure It Out activities
These are level 4 geometry and level 5 number problems from the Figure It Out series.A PDF of the student activity is included.
Level Four
Geometry and Measurement
Figure It Out activities
This is a level 4 activity from the Figure It Out series.A PDF of the student activity is included.
Level Four
Geometry and Measurement
Rich learning activities
The purpose of this activity is to engage students in evaluating a claim made on the basis of supporting statistics.
Level Four
Geometry and Measurement
Units of Work
This unit develops students’ ability to represent three dimensional objects using two dimensional representations.
Level Four
Geometry and Measurement
Units of Work
In this unit students make and investigate various solids, including regular and semi-regular polyhedra, and cylinders and cones. They look for patterns in the numbers of faces, edges and vertices they see whether they can “discover” Euler’s famous formula. By truncating the vertices of the Platonic...
Level Four
Geometry and Measurement
Problem solving activities
Level Four
Integrated
Secondary activities
These exercises, activities and games are designed for students to use independently or in small groups to practise number properties. Some involve investigation (see Related Resources) and may become longer and more involved with subsequent recording/reporting.
Level Four
Geometry and Measurement
Figure It Out activities
This is a level 4 geometry strand activity from the Figure It Out series.A PDF of the student activity is included.