Mathematics Reference

The Diigo Reference list (see I’m Looking For…page for this and other lists) includes many useful resources including Mathematics dictionaries.

Note that these resources are also given on my blog written for students.

Two particularly useful dictionaries for students of all ages are those from Jenny Eather
(Note the excellent section on charts also).

and Math is Fun.

The Diigo Reference list also includes sites on the history of  Mathematics.

Checking the University of St Andrews site we can find out about mathematicians who were born or died on this day.

LiveBinders version of Mathematics reference materials.

Order of Operations

There are several resources to help demonstrate the correct order of operations in a calculation.

CIMT order of operations

CIMT – Interactive Tutorial – Order of Operations

From the always relaible CIMT, one of their interactive sections gives examples and exercises.

A game from mathFROG allows students to practice against the clock.
Maths Frog

..or try this game (requires Flash) from Colleen King’s Math Playground. Use number tiles to create a sum with the answer given.
Order of Operations

and of course, you can always check answers on WolframAlpha!

Check answers on WolframAlpha

Check answers on WolframAlpha

By Colleen Young Posted in Number

Fun Facts

WolframAlpha have now launched Fun Facts on Twitter. Note that you can read these facts even if you are not a Twitter user.
WolframAlpha have written on this in their own blog.

Now here’s an impressive fact from WolframAlpha on just how popular WordPress is: 

On the subject of Mathematics Fun Facts – a reminder of these sites mentioned in earlier posts.

Mudd Math Fun Facts

Tanya Khovanova’s Number Gossip

Amazing Number Facts from Madras College.

MAA NumberADay blog.

Mathematical Images

(Images returned from a Wylio search on polyhedra).

Do you or your students ever need images? Care should be taken with copyright when using images from the Internet.

There are many sources of copyright free images. The above images (and many more) were returned as a result of searching Wylio for polyhedron. This Diigo list (clicking on the green links takes you direct to each website) has several sites which can be searched for copyright free images.

Note the end of the list has some sites specific to Mathematics, these are not necessarily copyright free (except those from the Pics4Learning site) but there are many interesting images to show students such as those from the MAA’s ‘Found Math’ project.

See this post for information for students.

And of course you can always take your own photos! More holiday pictures!

Solving Equations

A collection of resources to use to demonstrate and practise solving equations.

WolframAlpha solve equationA simple way to check a solution to an equation of any type is to simply enter your equation as a WolframAlpha query. Note that WolframAlpha includes a graphical illustration; it is so important for students to understand how equations may be solved graphically; I always illustrate graphical solutions when we are working with Algebra to help students make these links. Desmos of course, is ideal here.
Desmos & solving equations

The following resources allow practice in choosing the correct operations to reach a solution.

Centre for Innovation in Mathematics Teaching
have tutorials on equations: Linear Equations 1, Linear Equations 2, and Linear Equations with Brackets in their Interactive Resources

SubtangentLinear Equation Calculator

Choose the type of equation you require then the sequence of operations required to solve the equation.
Select Do it after each operation, for example -32 Do it were the keys selected to start the above problem.

The next sites work in a similar way to the subtangent resource.

Flashy MathsSolving Equations (select the swf file to play online)

There are 4 levels to choose from: the level 1 equations are of the type ax = b,
level 2, x±c = d, level 3, ex±f = g and level 4, hx±i = hx±j = k.
Choose the series of operations you require to solve the equation selecting apply at each stage to see the result of your chosen operation.
Choose numbers to add and subtract integers and letters to add and subtract variables.

MathsNetEquation Buster
Playing at level 5 introduces equations with fractions.

From the National Library of Virtual Manipulatives try Algebra Balance Scales and Algebra Balance Scales – Negatives.
Note that these manipulatives allow you to create a problem of your own (so long as it has an integer solution) as well as solving problems given.

From WaldoMaths, try this applet on solving simple linear equations and this on equations requiring more complex manipulation.
Each applet has several levels.

Last but certainly not least is one of the excellent Wisweb applets Solving equations with balance strategy.

Unlike the other resources this allows the user to enter the equation resulting from the chosen operation.
The solution is checked at each stage.
As well as solving the given problems (20 problems) the user can select ‘Make an equation yourself’ to enter any equation then solve that equation.
(Unlike the NLVM resource above the x can be any real number).

The following video shows the keystrokes required to enter and solve an equation.