Interactive Times Tables and Shapes

Learning the times tables is extremely important, and this activity can quickly demonstrate any tables value. By using animated shapes children can see the patterns that make up the tables easy. This helps them conceptualize and speeds up learning.

For example the visual representation allows children to grasp very quickly that multiplication is commutative i.e 3×4 is the same as 4×3 since they can see it is just the same shapes in a different pattern.

Let’s MOD Math Games App (formerly Polyup)

Let’s MOD is a free computational math game where students explore number operations, functions, and algorithm.  You do this in a virtual world or “mod” machine.  Some machines are created for you, and you can create your own.    Let’s MOD can be used on all types of devices, whether as an app or desktop application. Learn about how it works and get tips and tutorials for how to use it in the classroom.

Background

Let’s MOD provides students with visual manipulatives that enable them to think about math in a computational way.  So the focus is on analysis in problem solving in which students develop skills in:

  • pattern recognition
  • decomposition
  • abstraction
  • algorithm design

How It Works

Each game or “Machine” typically consists of four to six problems called “Mods”.  Each Mod is visually represented as a computer chip on a board.

Let’s MOD  is designed for use by classroom teachers, who can assign a Machine with groups of problems to their students.  Many pre-made machines are available at different grade levels. Teachers and students can create their own machines and share them.

To solve a Mod, you manipulate the numbers and math symbols to create a “PolyScript” equation.  You click on the Poly character to run your script and tell you if you provided the correct Mod — equation to solve the problem.  More complex Mods often require multiple results in a specific order.  And the most complex mods use variables and functions.  This video illustrates how it works:

Tutorials

Tips and Observations

  • Make sure you can solve all of the problems in a machine before you assign it. I observed that a few machines just looped through the same problem continually so I could never solve all the problems in a machine. And some seemingly easy problems are very complex. Know in advance how to address that.
  • Before starting a Mod, suggest to students that they remove all symbols and numbers that are not fixed in place. (Those bordered in black are fixed.) This reduces confusion when initially manipulating an equation.
  • Polyup has partnered with Curriki.org to create free lessons built around Polyup machines. Most of these lessons are for elementary students. But new ones are being added.

Let’s Do the Math app

Note that as of 2022 this is only available for Kindle Fire.

Android, Kindle Fire app – Learn to do basic math operations, comparisons (<, >, =), and simple word problems.  Write out a word sentence to solve them.  This app is ad-free and suitable for young children.  You will find the Kindle Fire version on Amazon here.

Basic Math Operations

Kids in grades 1-5 can choose from more than 30 games to hone their skills in addition, subtraction, multiplication and division. The games usually include an easy and more difficult level. Many of the games increase the level of difficulty as the child progresses through the game. Students can also choose between relaxed (untimed) and timed modes of play.

The basic operations games focus on a single skill such as addition only, or subtraction only. The mixed operations games combine two or more operations.

This website has advertisements, but they aren’t obtrusive and do not include popups.

Grand Prix Multiplication

Play Grand Prix Multiplication to practice your multiplication table skills. Up to 4 players can play. The winner is the one who correctly answers the most questions the fastest. At the end, you can see the percentage answered correctly, the rate at which you answered the questions, and the correct solutions to any you got wrong. There are links to other multiplication and division games on the site.

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