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Secondary Booklet 2013 full version 3.7 FINAL as at 3 Jun 13 ... - LGfL

Secondary Booklet 2013 full version 3.7 FINAL as at 3 Jun 13 ... - LGfL

Secondary Booklet 2013 full version 3.7 FINAL as at 3 Jun 13 ... - LGfL

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M<strong>at</strong>hem<strong>at</strong>ics<br />

● Number Line<br />

M<strong>at</strong>hem<strong>at</strong>ical Associ<strong>at</strong>ion resources on <strong>LGfL</strong><br />

The Number Line tool offers a dynamic<br />

environment in which teachers and pupils can<br />

explore numbers and rel<strong>at</strong>ionships between<br />

them. In its simplest use, number lines can be<br />

cre<strong>at</strong>ed quickly and e<strong>as</strong>ily - the display can be in<br />

decimal and/or fractional not<strong>at</strong>ion and the<br />

numbers can also be hidden. A point on the line<br />

can be dragged along the number line and its exact<br />

position revealed <strong>as</strong> a decimal to a chosen number<br />

of places. Further points can be positioned on the<br />

line and the environment will support pupils to<br />

make connections between rel<strong>at</strong>ed points on the<br />

line and begin to generalise about rel<strong>at</strong>ionships<br />

using simple algebraic rules.<br />

● Coordin<strong>at</strong>es and Graphing<br />

Coordin<strong>at</strong>e graphs can be e<strong>as</strong>ily cre<strong>at</strong>ed on a<br />

specified set of axes by a mouse click or a tap on<br />

an interactive whiteboard. Where appropri<strong>at</strong>e,<br />

graphs of algebraic functions can be<br />

superimposed, encouraging pupils’ conjectures.<br />

Up to five colour-coded functions can be plotted<br />

on any set of axes and the table of values are<br />

displayed alongside the graphs. Digital still images<br />

and video clips can be imported <strong>as</strong> a background<br />

onto which points can be plotted and investig<strong>at</strong>ed.<br />

Used in this way, real images and videos can be<br />

explored and connections made between the<br />

shape and the m<strong>at</strong>hem<strong>at</strong>ical function th<strong>at</strong> shares<br />

th<strong>at</strong> shape.<br />

In collabor<strong>at</strong>ion with Intel and The M<strong>at</strong>hem<strong>at</strong>ical<br />

Associ<strong>at</strong>ion, the M<strong>at</strong>hem<strong>at</strong>ical Toolkit and Number<br />

Line have been designed specifically to support the<br />

teaching and learning of m<strong>at</strong>hem<strong>at</strong>ics for pupils <strong>at</strong><br />

Key Stage 3. The tools are now available <strong>as</strong> <strong>full</strong>y<br />

fe<strong>at</strong>ured online tools in the <strong>LGfL</strong> M<strong>at</strong>hs Kit.<br />

www.m<strong>at</strong>hskit.lgfl.net<br />

10<br />

● 2-D Shapes<br />

This tool allows the teacher or pupil to cre<strong>at</strong>e 2-D<br />

geometric objects such <strong>as</strong> quadril<strong>at</strong>erals, circles,<br />

triangles, lines, arcs, ray segments and vectors on a<br />

co-ordin<strong>at</strong>e grid of a specified scale. Once plotted,<br />

the vertices can be labelled and the internal<br />

angles, side lengths, area and perimeter revealed.<br />

Shapes can then be transl<strong>at</strong>ed, rot<strong>at</strong>ed, reflected<br />

and enlarged on the co-ordin<strong>at</strong>e grid using the<br />

transform<strong>at</strong>ion fe<strong>at</strong>ures of the tool. Each time a<br />

shape is transformed, a ghost of its previous<br />

position is left on the screen supporting the<br />

investig<strong>at</strong>ion of sequences of transform<strong>at</strong>ions.

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