Use practical and informal written methods to multiply and divide two-digit numbers; round remainders up or down, depending on the context

Representing Multiplication - arrays and number lines
Represents multiplication using an array and by jumping on a number line. Great for developing an understanding of multiplication by partitioning.

This game is now part of the 'Calculations' collection, which includes the following 17 games and resources: Column Addition, Expanded Addition, Expanded Addition - Place Value Counters, Number Bonds(2), Addition - Digit Drag, Missing Symbols, Column Subtraction, Column Subtraction using Place Value Counters, Counting on to find difference on a beadstring, Multiplication Grid Method, Multiplication Written Method, Ratio and Scaling Numbers, Representing Multiplication, Division by Chunking Up, Division by Chunking Down, Formal Written Division - Round Up or Down?, Short Division Writen Formal Method.

The Calculations app is available on Google Play and the App Store.

Game availability:

Online in HTML5 format
Representing Multiplication - arrays and number lines ?
Division by chunking down (repeated subtraction)
Use repeated subtraction (represented on a number line) to solve division problems.

This game is now part of the 'Calculations' collection, which includes the following 17 games and resources: Column Addition, Expanded Addition, Expanded Addition - Place Value Counters, Number Bonds(2), Addition - Digit Drag, Missing Symbols, Column Subtraction, Column Subtraction using Place Value Counters, Counting on to find difference on a beadstring, Multiplication Grid Method, Multiplication Written Method, Ratio and Scaling Numbers, Representing Multiplication, Division by Chunking Up, Division by Chunking Down, Formal Written Division - Round Up or Down?, Short Division Writen Formal Method.

The Calculations app is available on Google Play and the App Store.

Game availability:

Online in HTML5 format
Division by chunking down (repeated subtraction) ?
Division by chunking up (repeated addition)
Use repeated addition (represented on a number line) to solve division problems.

This game is now part of the 'Calculations' collection, which includes the following 17 games and resources: Column Addition, Expanded Addition, Expanded Addition - Place Value Counters, Number Bonds(2), Addition - Digit Drag, Missing Symbols, Column Subtraction, Column Subtraction using Place Value Counters, Counting on to find difference on a beadstring, Multiplication Grid Method, Multiplication Written Method, Ratio and Scaling Numbers, Representing Multiplication, Division by Chunking Up, Division by Chunking Down, Formal Written Division - Round Up or Down?, Short Division Writen Formal Method.

The Calculations app is available on Google Play and the App Store.

Game availability:

Online in HTML5 format
Division by chunking up (repeated addition) ?
KS2 Maths Invaders
** New tablet-friendly version added 14th February 2018. Please let me know if you have any problems - support@mathsframe.co.uk

Shoot the spaceship with the correct answer and dodge the incoming fire. A fun game to practise a wide range of key mathematical skills.

There are over a hundred carefully differentiated levels linked to objectives from the new maths curriculum. The game can be used to teach: Multiplication, Addition, Reading Numbers, Subtraction, Fractions of Numbers, Roman Numerals, Rounding Numbers, Division, Converting Fractions to Decimals, Converting Fractions to Percentages, Telling the Time in Words, Recognising Multiples, Factors, Prime, Square and Cube Numbers, and Simplifying Fractions. A full list of levels is below. This game is also available as an iOS and Android app.

Game availability:

Online in HTML5 format
KS2 Maths Invaders ?
ITP Remainders after Division
I am remaking the ITPs so that they will work on all modern browsers and tablets. They will remain freely available to all without the need for a subscription.

This ITP sets up an empty grid into which you can place counters. Counters can be added singly, working from the first empty top left-hand corner cell, or in bulk clicking on a cell in the final row. As each column is completed it is numbered. The division calculation representing the number of highlighted counters divided by the number of rows can be revealed and hidden using the equals sign button. The answer appears when the equals sign in the calculation is clicked. Any remainder can also be shown as a fraction. In the example, below, there are 17 counters in a grid with 5 rows. Three columns are completed and there are 2 counters in the incomplete column. The displayed result will be:
17÷ 5 = 3r2 or 17÷ 5 = 3 2/5
Removing or highlighting extra counters will change the calculation displayed.
The ITP can be used to demonstrate division as grouping, and to develop children’s understanding of remainders and the notation for division. Keeping the number of counters fixed but changing the number of rows demonstrates the effect of changing the divisor in the calculation. Children can explore the effect different divisors has on the remainder and they can look for division calculations whose remainders satisfy particular properties.

For more multiplication and division resources click here.

Game availability:

Online in HTML5 format
ITP Remainders after Division ?
Balancing Calculations
Find the missing number to balance the calculations. An excellent tool for reinforcing an understanding of the role of the equals sign. Choose one objective, or many. You can choose all the objectives for a single year group (or multiple year groups). You can also choose to balance between different types of calculations (eg subtraction and division)

For more multiplication and division resources click here.

Game availability:

Online in HTML5 format
Balancing Calculations ?
ITP Multiplication Array
This ITP has been remade so that it will work in modern browsers. It will remain free to use.

For more multiplication and division resources click here.

Game availability:

Online in HTML5 format
ITP Multiplication Array ?
ITP Multiplication Board
Multiplication board ITP allows the child or teacher to represent the product of two numbers as an array, displaying the product and factors.

For more multiplication and division resources click here.

Game availability:

Online in HTML5 format
ITP Multiplication Board ?
ITP Multiplication Facts
I am remaking the ITPs so that they will work on all modern browsers and tablets. They will remain freely available to all without the need for a subscription.

This ITP allows you to represent multiplication as repeated addition using a grid of blocks or counters.It can be used to develop children’s understanding of multiplication and to develop links between the different representations and notation. The dynamic images should help children to understand why 5 x 9 means that the 5 is multiplied by the 9, and to recognise that multiplication is a commutative operation.

For more multiplication and division resources click here.

Game availability:

Online in HTML5 format
ITP Multiplication Facts ?
ITP Grouping
This ITP has been remade so that it will work in modern browsers. It will remain free to use.

This ITP allows you to display up to 30 counters or shapes on the screen. You then select a number to be the divisor in a division calculation. A number line displays the number to be divided. As individual counters or shapes are clicked and dragged to form a group the size of the divisor, they change colour. Once a group equal to the divisor is selected, it ‘jumps’ to the number line. In this example 22 counters were chosen and the divisor set to 5.
In the example shown below, 3 sets of 5 shapes have been selected and moved to the number line, which shows each group as a jump. Four more counters have been dragged together and the fifth is about to be selected. The answer to the division calculation is shown at the bottom of the screen.
The ITP can be used to model division as grouping and to link this process to jumps on a number line. It can also introduce children to how remainders are recorded in the answer.

For more multiplication and division resources click here.

Game availability:

Online in HTML5 format
ITP Grouping ?
Multiplication - Grid Method
Multiply partitioned numbers using the grid method. Lots of choice of levels, including decimals and money.

For more multiplication and division resources click here.

This game is tablet friendly and will work on any device.

Game availability:

Online in HTML5 format
Multiplication - Grid Method ?