Develop and use written methods to record, support and explain multiplication and division of two-digit numbers by a one-digit number, including division with remainders

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) ?
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) ?
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 ?
Round up or down after division
Answer division word problems using a calculator and decide whether the answer needs to be rounded up or down depending on the context of the question

For more calculator resources click here.

Game availability:

Online in HTML5 format
Round up or down after division ?
Grid Method Multiplication
Multiply partitioned numbers using the grid method. Lots of choice of levels, inculding decimals and money.

For more multiplication and division resources click here.

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
Grid Method Multiplication ?
Multiplication - Written Method
Working towards a more formal written method.

For more multiplication and division resources click here.

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 (£1.25) and will be available in the App Store in July.

Game availability:

Online in HTML5 format
Multiplication - Written Method ?
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 ?
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 ?