GM3-3: Classify plane shapes and prisms by their spatial features.
Elaboration on this Achievement Objective
This means students will be able to define the characteristics of things and use these characteristics as a basis for sorting. Plane figures are those that lie flat, so have only two dimensions. So circles, triangles, and hexagons are all plane shapes. At Level Three students should be able to classify plane shapes by the following characteristics: number of sides and angles (for example all triangles have three sides), parallel or non-parallel sides (for example a trapezium has one pair of parallel sides), equal or unequal side length, angle size (less than, equal to, greater than a right angle), lines of mirror symmetry and order of rotational symmetry (for example a square maps onto itself four times in a full turn). Prisms are solid shapes that have a fixed cross-section. A loaf of bread can be seen as a rectangular prism since the slices are the same rectangle. So prisms are classified by their cross-section, for example a triangular prism has triangular cross-sections. In this way a cylinder can be seen as a type of prism though its cross-section is a circle.
Teaching resources for this Achievement Objective
These are level 3 number, algebra, and geometry problems from the Figure It Out series.A PDF of the student activity is included.
explore patterns in mutliples of 7, 8, 9 multiplication facts (Problem 2)identify parallelograms and trapeziums in geometric shapes (Problem 3)explore the idea of equality in diagrams of scale balances (Problem 4)
Figure It Out activities
Number and Algebra
Level Three
This is a level 3 geometry activity from the Figure it Out series.
identify diagonals in two dimensional shapes
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.
use addition and multiplication to solve problems (Problems 1 and 4)explore different two dimensional shapes (Problem 2)explore reflections with paper folding (Problem 3)
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.
identify three dimensional shapes.
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.
use addition and a systematic approach to solve problems (Problems 1 and 2)explore features of two dimensional shapes (Problem 3)explore symmetry (Problem 4)
Figure It Out activities
Number and Algebra
Level Three
These are level 3 number and geometry problems from the Figure It Out series.A PDF of the student activity is included.
use additive and multiplicative strategies to sovle problems using measurement as a context (Problems 1 and 4)interpret three dimensional drawings (Problem 2)use multiplication facts to solve problems (Problem 3)
Figure It Out activities
Number and Algebra
Level Three
This interactive learning module supports students to learn about the names and feature of two- and three-dimensional shapes.
Naming two and three-dimensional shapes and identify their features. Recognising plane shapes in 3D objects. Sorting shapes and describing similarities and differences.
Student e-Ako
Geometry and Measurement
Level Three
This is a level 3 geometry activity from the Figure it Out series.
identify the features of quadrilaterals
Figure It Out activities
Geometry and Measurement
Level Three
This is a Level 3 Geometry activity from the Figure It Out Series.
describe circles and ellipses
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 figuremake the net for a solid figureuse co-ordinates on a map to identify the position of housesconstruct triangles and quadrilaterals by measuring appropriate lengths, and identify the properties of the shapesfind all the possible...
Units of Work
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 number of painted faces on 3 dimensional shapes (Problem 2)use addition and multiplication to solve problems (Problems 3 and 4)
Figure It Out activities
Geometry and Measurement
Level Three
This is a level 3 geometry activity from the Figure it Out series.
investigate internal angles of polygons
Figure It Out activities
Geometry and Measurement
Level Three
This is a level 3 geometry activity from the Figure It Out theme series.
identify the number of faces, vertices, edges on three dimensional shapes construct a polyhedron
Figure It Out activities
Geometry and Measurement
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 OneRecognise 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 TwoFind the next shape in a tukutuku pattern by ‘chunking’ the pattern...
Units of Work
Geometry and Measurement
Level Three
This is a level 3 link geometry activity from the Figure It Out series.
describe two dimensional and three dimensional shapes using geometric language
Figure It Out activities
Geometry and Measurement
Level Three
These are level 3 geometry problems from the Figure It Out series.A PDF of the student activity is included.
use reflection to solve puzzles (Problem 2)explore shape puzzles (Problems 3 and 4)
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 tree diagram (Problem 1)find rhombuses and trapezia in shapes (Problem 2)continue a sequential pattern (Problem 3)explore right angles on a clock face (Problem 4)
Figure It Out activities
Statistics
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
The purpose of this activity is to engage students in solving a problem requiring identifying and using regular polygons.
Rich learning 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
In this unit students make and investigate a variety of three dimensional shapes, known as polyhedra (for many faces). Beginning with the Platonic solids students learn to describe polyhedra by their properties, including the number of faces, edges and vertices. The unit may culminate in students...
Construct models of polyhedra using structured or everyday materials. Use the terms faces, edges and vertices to describe models of polyhedra.
Units of Work
Geometry and Measurement
Level Three
These are level 3 geometry problems from the Figure It Out series.A PDF of the student activity is included.
explore number of corners and faces in 3 dimensional shapes
Figure It Out activities
Geometry and Measurement
Level Three
In this unit students make and investigate a variety of three dimensional shapes. By examining a wide range of shapes and looking at the relationship between the numbers of faces, edges and vertices they see whether they can “discover” Euler’s famous formula.
Construct models of polyhedra using everyday materials. Use the terms faces, edges and vertices to describe models of polyhedra.
Units of Work
Geometry and Measurement
Level Three
This is a Level 3 Geometry activity from the Figure It Out Series.
apply the features of two dimensional shapes to solve puzzles
Figure It Out activities
Geometry and Measurement
Level Three
This is a Level 3 Geometry activity from the Figure It Out Series.
describe two dimensional shapes describe a pathway
Figure It Out activities
Geometry and Measurement
Level Three