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Interactive Shape, Version 1

By Jeff Clark,2014-04-05 11:02
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Interactive Shape, Version 1Inte

    www.mathsnet.net/shape/

    Interactive Shape Interactive Shape I nteractive Shape

    Version 1.01 by Bryan Dye Version 1.01 by Bryan Dye Version 1.01 by Bryan Dye

Contents Contents Contents

    Introduction ..................................................................... 1

    Key Stage 1 ..................................................................... 2

    Key Stage 2 ..................................................................... 3

    Key Stage 3 & 4 Foundation............................................... 5

    Key Stage 4 Higher ........................................................... 7

    Polygons ......................................................................... 9

    Challenges ....................................................................... 9

    Glossary .......................................................................... 9

    Technical details ............................................................. 10

    Interactive construction buttons - summary sheet .............. 11

ntroductionI Introduction Introduction

    The term interactive geometry is used to refer to the kind of software that allows the user to create points and lines and consequently geometric constructions and then manipulate them, all with simple mouse clicks. For example, these diagrams show how a rectangle can be changed in size by dragging one corner with the mouse.

    Students will need to make careful use of the mouse throughout. They should understand the meaning of “clicking”, “click, hold and drag” and so on, and be aware of the left and

    right mouse buttons - though only the left button is needed here.

MathsNet Interactive Shape (www.mathsnet.net/shape/) is a website designed to

    enable students to get a clear and complete understanding of shapes, their patterns and properties. Every page uses interactive geometry, allowing the user to change the pictures ? MathsNet 2002 1

    www.mathsnet.net/shape/

    themselves using the mouse and to see the effect these changes have. Any comments on the website or this booklet can be emailed to info@mathsnet.com.

    These resources are based on the National Curriculum (for England) and the National Numeracy Strategy (including the Framework for Teaching Mathematics: Year 7). A total of 17 topics are organised into four units, which correspond to KS1, KS2, KS3 & KS4 Foundation and KS4 Higher. Each area has an online teacher’s guide.

    Within each unit, the topics are arranged in (very) approximate order of difficulty and are

    accessible by clicking on a coloured grid. The cross shows where you

    are within that set of tasks. Note also that each task is numbered:

    move the mouse over a square to see this. The units can be worked through in any order, but the tasks at the top of the grid will be easier than those at the bottom. Each of the four units lists the key mathematical vocabulary and there is a full interactive glossary that gives visual clues to the meaning of key words.

    There are also two extra sections on Polygons and Challenges. Some pages are designed for use with a PC projector and/or interactive whiteboard, and with the browser window maximised (press function key F11 in Internet Explorer).

    The following four sections describe briefly the content and give extra pointers to each individual task. It is assumed that these notes are being read whilst looking at the resources.

    Key Stage 1 Key Stage 1 Key Stage 1

    There are three sections: Recognising, Describing and Creating. Besides introducing students to the mathematics, these tasks also encourage them to moving objects about with the mouse, so basic mouse skills are required.

1. Recognising

    Recognising of basic common polygons such as square, rectangle, star, triangle, pentagon, hexagon and octagon.

    a1 Which shape has 3 sides, 4 sides, 3 corners, 4 corners? Which shape is circular?

    a2 What is the difference between a square and a rectangle?

    a3 What is the blue shape, green shape? What is special about the pink triangle, orange triangle?

    Which shape is rectangular?

    a4 How points has the star? How many sides? What is special about the triangular shape?

    b1 What is special about the hexagon, the triangle?

    b2 What is the different shape called? Describe the differences between the three hexagons. b3 There are at least 7. Use the left hand shape to create more triangles.

    b4 Careful - can you find 21? How many 3-sided (10), 5-sided shapes (4)? Why is the whole

    shape 4-sided and not 8-sided?

    c1 Join shapes together to make new shapes. Make an octagon. Which shape has four square

    corners but sides that are not all equal? Why is the headquarters of the American Government

    called the Pentagon?

    c2 Can you create more than 4 right angles? Make a square, rectangle.

    c3 What are the other triangles called? Describe them. Make them look exactly the same. c4 Describe each shape in detail, particularly the corners.

2. Describing

    Most tasks in this section will require the students to make written answers or to print out the completed page.

    a1 How many sides in total? Can you make them all exactly the same shape?

    a2 Can you make them all exactly the same shape? Can you make other patterns? ? MathsNet 2002 2

    www.mathsnet.net/shape/

a3 Can you make them all exactly the same shape?

    a4 Can you make a pattern with all three triangles? Can you fit them together to make 9

    triangles?

    b1 How are they different? What is different about the blue triangle in particular? b2 What is a right angle, corner? Print out the completed page.

    b3 What stays the same however you move the shape? Can you make the shape symmetric? b4 Can you see a square, rectangle, octagon, right-angle, triangle?

    c1 Describe each group. Print out the completed page.

    c2 Describe each group. Print out the completed page.

    c3 Name the shapes. Describe each shape.

    c4 Very open ended! Extend the more able.

3. Creating

    Most tasks in this section will require the students either to make written answers or to show their work to the teacher or to print out the completed page. a1 Make a square, rectangle, L shape. How many different shapes are possible? How many edges

    does each shape have?

    a2 Make a triangle, a hexagon, a four sided shape with opposite sides parallel (parallelogram). a3 Make a triangle, hexagon, four sided shape with two pairs of sides of equal length (kite). a4 Make a hexagon. Make two different parallelograms.

    b1 Make one large triangle. How many different shapes are possible? Make a hexagon. b2 Put the blue triangle in the middle of the yellow triangle. Can you count 5 triangles? Make a

    pentagon and a hexagon.

    b3 What is this fitting together called? What has it to do with honeycombs? What does the scale

    do?

    b4 You could call these pieces tangrams. Make a square, pentagon, hexagon, octagon. What

    does the scale do?

    c1 Move the square - what happens? Put two shapes together to make a pentagon. c2 Why is the pink triangle no use?

    c3 What does the scale do? Make some other patterns.

    c4 What does the scale do? Make 2 squares. What else can you make?

    Key Stage 2 Key Stage 2 Key Stage 2

    Four sections: Lines, Angles, Measures and Classifying

4. Lines

    Understanding the terms parallel, perpendicular, diagram, isosceles, equilateral, intersection, congruent, quadrilateral, parallelogram, rhombus, kite, regular. a1 Introduce the words parallel, perpendicular and diagram.

    a2 Which lines are parallel and perpendicular?

    a3 Describe each group.

    a4 Move the parallel lines into groups.

    b1 What is the connection between the red and blue lines?

    b2 What is the connection between the red and blue lines?

    b3 Introduce the word equilateral. Some lines cross over others. The point where this occurs is

    called the point of intersection.

    b4 What is meant by exactly the same? Introduce the word congruent?

    c1 These shapes are called parallelogram and rhombus. What are their properties?

    c2 What is special about this hexagonal shape? What does regular mean? The other

    quadrilateral is a rhombus. What are its properties?

    c3 What does isosceles or equilateral mean? The second quadrilateral is a kite. What are its

    properties?

    c4 What does quadrilateral mean?

5. Angles