Plans and Elevations – Wisweb Applets

This week I need some resources to demonstrate plans and elevations. There are several Wisweb applets from the Freudenthal Institute which are excellent for this topic. These work well on  the interactive whiteboard for demonstrating to students, they are also ideal for students to explore themselves.

Cube houses shows several models with their elevations, select drawing then 3d-model to give a model you can rotate  to generate different views.

Readers familiar with the excellent Improving Learning in Mathematics materials may recognise the applets for building houses; these are described in SS6 – Representing 3D shapes which has suggested lesson activities and describes the applets (see pages 4 and 5).

Building Houses allows you to create buildings and see the plan, front and side elevations as you build. (If that link does not work – try this).
You can add (build) or remove (break down) bricks and control the size of the square base.

Building houses with side views challenges students to construct 3D models given the plans and elevations; the task is made more challenging by specifying that as few cubes as possible should be used.

Note that in order to achieve the minimum number of cubes, ‘floating’ cubes are needed.

Note that these resources have been added to the ‘explore‘ series of pages on the companion blog for students.
Update - these resources worked well with my students – they particularly enjoyed the challenge of trying to build models using the minimum number of cubes!

Readers interested in the Improving Learning in Mathematics materials further may find IWB Resources  useful as it has a flipchart and notebook file for each of the activities. This site is a result of the NCETM research project: Enabling enhanced mathematics teaching with some interactive whiteboards (September 2006- September 2008) and is supported by the IWB research team at Keele University and the team. See also the link on the reading page to Malcolm Swan’s Improving Learning in Mathematics – Challenges and Strategies.

Wisweb Applets

I can see from the WordPress statistics for this blog that people often end up here searching for the excellent WisWeb applets.
For further details on the plans and elevations applets see this post.

Try this applet  which shows how a solid is formed from a net, just move the red slider from 0 to 100.

Using  Algebra Trees form inputs, operations and output by dragging them onto the main workspace, connect them up and optionally connect to a graph. Click inside any of the elements to change the content.

Once you have tried a few of these applets you will find them intuitive to use.

Algebra Arrows for example could be used to compare different orders of operations. Build a tree, make the input x and note the output generated:

There are several applets which are excellent for showing plans and elevations, see for example Building Houses with side views where the user must construct a house given top, front and right views. Teachers familiar with the ‘Improving learning in Mathematics’ materials will recognise some of these applets.

Solving Equations

There are many excellent resources online for solving equations.

A simple way to see a complete solution to an equation is to enter it into WolframAlpha then select ‘Show Steps’. (Update 2012 – using the free version of WolframAlpha allows you an unlimited number of queries, so excellent for checking any work but you can only use ‘Show Steps’ three times a day!)

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WisWeb Applets

For a site with numerous applets to explore try WisWeb Applets (click on Applets near top left on the red menu bar).
See this post also on links for Wisweb Applets.

Try  Algebra Trees for example. Form inputs, operations and output by dragging them onto the main workspce, connect them up and optionally connect to a graph. Click inside any of the elements to change the content.

Continue reading