Add and subtract numbers using concrete objects, pictorial representations, and mentally, including: a two-digit number and ones; a two-digit number and tens; two two-digit numbers;adding three one-digit numbers

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Choose from the following levels:

1) Add numbers up to 10 (Y1)

2) Add numbers up to 20 (Y1)

3) Add a two-digit number and ones (Y2)

4) Add a two-digit number and tens (Y2)

5) Add two two-digit numbers (Y2)

6) Add three one-digit numbers (Y2)

7) Addition pairs that make 100 (multiples of 10) (Y3)

8) Addition pairs that make 100 (multiples of 5) (Y3))

9) Addition pairs that make 100 (Y3 & Y4)

10) Add pairs that make 1000 (multiples of 100) (Y3 & Y4)

11) Add a three-digit number and ones (Y3)

12) Add a three-digit number and tens (Y3)

13) Add a three-digit number and hundreds (Y3)

14) Add pairs of decimals (1dp) that make 1 (Y4 & Y5)

15) Add pairs of decimals (1dp) that make 10 (Y4 & Y5)

16) Add combinations of two and three digit numbers (y4)

17) Add combinations of decimals (1dp) (Y4)

18) Add pairs of decimals (2dp) that make 1 (Y5 & Y6)

19) Add combinations of three-digit numbers (Y5 & Y6)

20) Add combinations of decimals (2dp) (Y5 & Y6)

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Choose from the following levels:

1) Add numbers up to 10 (Y1)

2) Add numbers up to 20 (Y1)

3) Add a two-digit number and ones (Y2)

4) Add a two-digit number and tens (Y2)

5) Add two two-digit numbers (Y2)

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10) Add pairs that make 1000 (multiples of 100) (Y3 & Y4)

11) Add a three-digit number and ones (Y3)

12) Add a three-digit number and tens (Y3)

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15) Add pairs of decimals (1dp) that make 10 (Y4 & Y5)

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17) Add combinations of decimals (1dp) (Y4)

18) Add pairs of decimals (2dp) that make 1 (Y5 & Y6)

19) Add combinations of three-digit numbers (Y5 & Y6)

20) Add combinations of decimals (2dp) (Y5 & Y6)

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I designed this activity to help children to visualise small differences between 2-digit numbers by bridging through multiples of 10. It can also be used to explore links between addition and subtraction and to begin to find differences using a number line.

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.

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Make a given amount of money using a fixed number of coins. For example make 26p using exactly 6 coins. Encourages children to partition amounts in different way and requires higher order thinking.

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Column Subtraction Using Place Value Counters - Tablet Version
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ITP Beadstring
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 simulates a 100-bead string. You can move all the beads to the right of the string and move individual or groups of beads to the left side of the string by clicking on selected beads. The controls also allow you to move 1 or 10 beads to the left or right of the string to show addition and subtraction. This ITP can be used to model different counting and calculation strategies.

For more addition and subtraction resources click here.

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ITP Number Facts
This ITP has been remade so that it will work in modern browsers. It will remain free to use.

This ITP displays up to 20 coloured counters and the corresponding addition sentence. The number of counters you select, appear on the screen in purple. Click on any counter to change its colour, the number sentence also changes. To hide and reveal the number sentence, click on the box with the question marks. You can replace a number in the number sentence with a question mark by clicking on the number, and drag counters around the screen to form groups. Addition can be changed to subtraction by clicking on the addition sign in the box. Counters can be dragged into the displayed box, which you can make opaque to hide the counters.
The ITP can be used to model addition by combining and counting, and subtraction by partitioning and taking away. The hide and reveal options allow you to pose questions with unknown numbers in different positions in the number sentence. Partitioning counters in different ways helps children to identify all sums and differences of numbers to 20.

For more addition and subtraction resources click here.

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ITP Difference
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 compare two rows of beads and to analyse the calculations they can represent. It can be used to promote the language of addition and subtraction, particularly the interpretation of difference. The ITP operates as a series of animations which show how the rows of beads can be represented by two number lines and then as a single number line with the difference indicated by a ‘jump’.

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Online in HTML5 format
ITP Difference ?
ITP Number Line
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 generates a number line. Two markers with numbered boxes can be moved along the number line. Depending on the order of the two markers you can show the sum and difference between the two numbers and the calculation represented. You can hide and reveal the numbers in the boxes, which will also hide and reveal the respective numbers in the calculation. The maximum and minimum values on the number lines can be altered and the numbered intervals can be hidden and revealed.

The ITP can be used to model calculation strategies for addition and subtraction and to develop children’s understanding of the sums and differences between positive and negative numbers. Selecting different scales on the number line and hiding and revealing the numbered intervals can support children’s estimation skills and ability to read horizontal scales.

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