SHAPES


 * Shapes **

**Online Resources for IWB and student computers:** []  Online shape search, good for IWB []  Interactive shape activities for a variety of levels []  Online quiz about shape [] A timed quiz about 3D shape **Planning Resources:** []  NZ Maths Planning Documents  **Resources:** [] <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> Lots of Teacher-Made Resources <span style="background-color: transparent; display: block; font-family: Times; font-size: medium; line-height: normal; margin: 0px;"> <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; vertical-align: baseline;">__**0.5**__ Identify basic 2D shapes Use number of sides to classify <span style="background-color: transparent; color: #000099; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; vertical-align: baseline;">[|http://www.education.vic.gov.au/studentlearning/teachingresources/maths/mathscontinuum/space/SP05001P.htm__]

· Identify basic 2D shapes · sort objects by shape <span style="font-family: Helvetica,Verdana,Arial; font-size: 9pt; text-indent: -0.25in;">**Continuum** <span style="color: #0000ff; font-family: Helvetica,Verdana,Arial; font-size: 9pt; text-indent: -0.25in;"> __[]__ <span style="font-family: Helvetica,Verdana,Arial; font-size: 9pt;"> Activities to determine whether students are able to sort shapes on the basis of some simple features and name some of these features <span style="color: #0000ff; font-family: Helvetica,Verdana,Arial; font-size: 9pt;">__[]__ <span style="color: #333333; font-family: Helvetica,Verdana,Arial; font-size: 9pt;">In this unit students classify and explore shapes. They will have opportunities to handle, describe and classify 2D and 3D shapes. At this stage it is not important for students to correctly name the shapes although we expect that many students will be able to. They will be using their own language in their descriptions and will be exploring similarities and differences and will be informally considering sides, corners, curved and straight lines. <span style="background-color: transparent; color: #000099; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; vertical-align: baseline;">[] <span style="background-color: transparent; display: block; font-family: Times; font-size: medium; line-height: normal; margin: 0px;"><span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Shape recognition/attributes Match the shape (concentration game) <span style="background-color: transparent; display: block; font-family: Times; font-size: medium; line-height: normal; margin: 0px;"><span style="background-color: transparent; color: #000099; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; vertical-align: baseline; white-space: pre-wrap;">[]  <span style="background-color: transparent; display: block; font-family: Times; font-size: medium; line-height: normal; margin: 0px;"><span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Language of 3d shapes could be useful for ESL students <span style="background-color: transparent; color: #000099; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; vertical-align: baseline; white-space: pre-wrap;">[] · use number of sides to classify · recognise sets and subsets of shapes <span style="font-family: Calibri,Verdana,Helvetica,Arial; font-size: 11pt; text-indent: -0.25in;">**Continuum** <span style="color: #0000ff; font-family: Calibri,Verdana,Helvetica,Arial; font-size: 11pt; text-indent: -0.25in;"> __[]__ Activities to determine whether students are able to identify the important features of two-dimensional shapes and use these distinguishing features to compare and contrast various shapes. <span style="color: #0000ff; font-family: Calibri,Verdana,Helvetica,Arial; font-size: 11pt; text-indent: -0.25in;"> __[]__ <span style="color: #333333; font-family: Helvetica,Verdana,Arial; font-size: 9pt; text-indent: -0.25in;"> In this unit students identify attributes of 2D shapes and describe sides and corners of these shapes. They are identifying and classifying shapes by name, number of sides and corners and will describe similarities and differences between shapes. <span style="background-color: transparent; color: #000099; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; vertical-align: baseline;">[] <span style="background-color: transparent; display: block; font-family: Times; font-size: medium; line-height: normal; margin: 0px;"><span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Shape recognition/attributes Match the shape (concentration game) <span style="background-color: transparent; display: block; font-family: Times; font-size: medium; line-height: normal; margin: 0px;"><span style="background-color: transparent; color: #000099; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; vertical-align: baseline; white-space: pre-wrap;">[]  <span style="background-color: transparent; display: block; font-family: Times; font-size: medium; line-height: normal; margin: 0px;"><span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Language of 3d shapes could be useful for ESL students <span style="background-color: transparent; color: #000099; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; vertical-align: baseline; white-space: pre-wrap;">[]
 * Progressing towards level 1.0**
 * Progressing towards level 2.0**

· Identify both static and dynamic angles · name and describe triangles and quadrilaterals <span style="font-family: Helvetica,Verdana,Arial; font-size: 9pt; text-indent: -0.25in;">**Continuum** <span style="font-family: Helvetica,Verdana,Arial; font-size: 9pt; text-indent: -0.25in;"> __[]__ (Part 1) <span style="font-family: Helvetica,Verdana,Arial; font-size: 9pt; text-indent: -0.25in;"> __[]__ (Part 2 - Activities) Activities to develop students understanding of spatial skills and awareness of the features of shapes that enable them to fit together in various ways, including making tessellations. They become aware of the attribute of angle as a property of a corner of a shape, and extend their understanding of length. The spatial skills include being able to judge which sides will fit together to make a given length, whether a shape needs to be flipped before fitting into a hole, whether two corners will fit together to make a ‘square corner’, or to match another corner. <span style="color: #0000ff; font-family: Helvetica,Verdana,Arial; font-size: 9pt; text-indent: -0.25in;"> __[]__ <span style="color: #333333; font-family: Helvetica,Verdana,Arial; font-size: 9pt; text-indent: -0.25in;"> In this unit we conduct a couple of investigations looking at the relationship between the angle between two diagonals of a quadrilateral, the sides of the quadrilateral, and the type of quadrilateral. The main emphasis is on rectangles. <span style="color: #0000ff; font-family: Helvetica,Verdana,Arial; font-size: 9pt; text-indent: -0.25in;"> __[]__ <span style="color: #333333; font-family: Helvetica,Verdana,Arial; font-size: 9pt; text-indent: -0.25in;"> In this unit, students will construct three-dimensional objects with triangles with emphasis on  · <span style="font-family: Helvetica,Verdana,Arial; font-size: 9pt;">* identifying properties of triangles · <span style="font-family: Helvetica,Verdana,Arial; font-size: 9pt;">* constructing triangles (both equilateral and irregular), using either ruler and protractor or ruler and compass · <span style="font-family: Helvetica,Verdana,Arial; font-size: 9pt;">* designing the net and making three-dimensional objects · <span style="font-family: Helvetica,Verdana,Arial; font-size: 9pt;">* naming three-dimensional objects
 * Progressing towards level 3.0**
 * identifying three-dimensional objects which can be constructed using triangles

<span style="background-color: transparent; display: block; font-family: Times; font-size: medium; line-height: normal; margin: 0px;"><span style="background-color: transparent; color: #000099; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; vertical-align: baseline; white-space: pre-wrap;">[|http://www.math.harvard.edu/~knill/mathmovies/m4v/likemike.m4v] <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> Warm up Movie clip explaining the difference between the various types of triangles. <span style="background-color: transparent; color: #000099; display: block; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; margin: 0px; vertical-align: baseline; white-space: pre-wrap;">[] This is site that shows how to analyse a net to identify what the 3d shape might be     · classify and sort shapes using their properties · use mathematical language to describe shapes and properties <span style="font-family: Helvetica,Verdana,Arial; font-size: 9pt; text-indent: -0.25in;">**Continuum** <span style="color: #0000ff; font-family: Helvetica,Verdana,Arial; font-size: 9pt; text-indent: -0.25in;"> __[]__ Activities to identify students ability to identify the important features of triangles and quadrilaterals (lengths and angles) and classify these shapes according to these distinguishing features.
 * Progressing towards level 4.0**

<span style="color: #0000ff; font-family: Helvetica,Verdana,Arial; font-size: 9pt;"> __[]__ <span style="color: #333333; font-family: Helvetica,Verdana,Arial; font-size: 9pt;"> 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. <span style="color: #333333; font-family: Helvetica,Verdana,Arial; font-size: 9pt;"> This unit involves a lot of exploration with three dimensional shapes and would be ideal as a lead in to the unit //Building with Triangles//, a level four unit which goes on to look at a group of polyhedra, the platonic solids, in more detail. <span style="color: #0000ff; font-family: Helvetica,Verdana,Arial; font-size: 9pt;"> __[]__ <span style="color: #333333; font-family: Helvetica,Verdana,Arial; font-size: 9pt;"> In this unit students will be having hands-on experiences with three-dimensional solid shapes. They will investigate the features of solid shapes and learn the names for them. They will be introduced to making nets for 3D shapes.

· construct 2D shapes using angle and line properties · use angle properties of Polygons <span style="font-family: Helvetica,Verdana,Arial; font-size: 9pt;">**Continuum** <span style="color: #0000ff; font-family: Helvetica,Verdana,Arial; font-size: 9pt;">**__[]__** Students classify quadrilaterals with reference to a definition or a key property. <span style="color: #0000ff; font-family: Helvetica,Verdana,Arial; font-size: 9pt;">__[]__ <span style="color: #333333; font-family: Helvetica,Verdana,Arial; font-size: 9pt;">In this unit we use ruler and compass constructions to draw a variety of shapes and to construct angles such as 90°, 60°, 45° and 15°. <span style="color: #0000ff; font-family: Helvetica,Verdana,Arial; font-size: 9pt;"> __[]__ <span style="color: #333333; font-family: Helvetica,Verdana,Arial; font-size: 9pt;"> In this unit tessellations are used as an application of angle properties of polygons. Interior angle properties of polygons are used to justify the existence of the five platonic solids. <span style="color: #0000ff; font-family: Helvetica,Verdana,Arial; font-size: 9pt;"> __[]__ <span style="color: #333333; font-family: Helvetica,Verdana,Arial; font-size: 9pt;"> In this unit, students will learn to investigate polygons using an instrument of their own construction. They should be able to prove the general formula for the number of degrees in any polygon (including a triangle). Finally they will investigate an interesting locus problem related to polygons. <span style="background-color: transparent; color: #000099; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; vertical-align: baseline; white-space: pre-wrap;">[|http://www.math.harvard.edu/~knill/mathmovies/m4v/ozz.m4v] <span style="background-color: transparent; color: #000000; font-family: Arial; font-size: 11pt; font-style: normal; font-weight: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> Could be used as a warmup/ tuning in for Pythag Theorum
 * Progressing towards level 5.0**

use angle properties of circles <span style="font-family: Helvetica,Verdana,Arial; font-size: 9pt;">**Continuum** <span style="color: #0000ff; font-family: Helvetica,Verdana,Arial; font-size: 9pt;"> __[]__ Students extend their ability to follow formal mathematical arguments and to use deductive reasoning to prove or disprove conjectures. Students are able make conjectures based on their observations of angles in circles associated with chords and tangents and to reason deductively from known properties of triangles to explain why certain conjectures about angles are true. <span style="color: #0000ff; font-family: Helvetica,Verdana,Arial; font-size: 9pt;">__[]__
 * Progressing towards level 6.0**