The counting on strategy is an introductory mental math addition strategy.
If you are struggling to understand the count on strategy, don't worry, we've clearly explained this addition strategy below. We've also provided examples to help you feel more confident using count on math.
Counting on in math is one of the most important counting strategies for addition and mental math skill because it helps students work out how many more of something they need, and how many of something they will have once more is added. But be aware that students will need to be able to 'hold' numbers in their minds, so that they can add on to it, in order to be able to achieve the counting on strategy. Typically, students in first grade will be able to do this, so they are the ideal age group to which to introduce the counting on strategy. Some particularly advanced students in kindergarten may also be able to use counting on maths, too.
What Is The Counting On Method?
The count on strategy is a strategy for addition that develops students' mental math. When adding two numbers together, you begin counting from the largest number, adding the second number to it.
For example, if you use the counting strategy for 5 + 3, start with '5' and then count up three numbers, '6', '7', '8'. If students are adding 2+ 6, they should still start with the bigger number, '6', and count up two numbers, '7', '8'.
When using count on math, we are trying to ensure that students understand that they start with the larger number in the addition sentence and count on. We want students to learn this as it is a much more efficient method of addition, so that when they encounter larger numbers, they are able to add them together to make the sum total without having to count all to the big number. For example, if students are facing the sum 67 + 2, it is vital they understand that they need to count from 67, rather than all the way from 1 to 67, before then adding the 2 to make the sum total of 69.
When students count right from '1' every time they need to add, this is known as counting all, as they are counting every number to work out the sum. As demonstrated, it is a highly inefficient method of addition and will not equip students to tackle more complicated math.
Counting on addition strategies should only be used for adding 1, 2, 3, or 4 to a larger number. It will get too confusing if students try to use numbers higher than 4 in counting on addition, and they will learn a different addition strategy for this in more advanced math lessons, once they have mastered the count on strategy.
Examples Of The Counting On Method
If you're looking for help with count on facts examples with workings out, this is the list for you. We show you how to use the count on strategy to enhance students' mental math, and take you through how we got the answers, so that you can replicate the math with your own students.
1. 7 + 3 = 10
Start with the largest number, '7', and count on three numbers, '8', '9', '10'.
2. 8 + 4 = 12
Start with the largest number, '8', and count on four numbers, '9', '10', '11', '12'.
3. 3 + 2 = 5
Start with the largest number, '3', and count on two numbers, '4', '5'.
4. 27 + 2 = 29
Start with the largest number, '27', and count on two numbers, '28', '29'.
5. 4 + 11 = 15
Start with the largest number, '11', and count on four numbers, '12', '13', '14', '15'.
6. 10 + 3 = 13
Start with the largest number, '10', and count on three numbers, '11', '12', '13'.
7. 3 + 4 = 7
Start with the largest number, '4', and count on three numbers, '5', 6', '7'.
8. 19 + 3 = 22
Start with the largest number, '19', and count on three numbers, '20', '21', '22'.
9. 4 + 55 = 59
Start with the largest number, '55', and count on four numbers, '56', '57', '58', '59'.
10. 203 + 3 = 206
Start with the largest number, '203', and count on three numbers, '204', '205', '206'.
11. 5 +2 = 7
Start with the largest number, '5', and count on two numbers, '6', '7'.
Questions To Try Counting On Activity
Feel like you're getting the hang of the counting on strategy? If you are confident in this strategy for addition, and that you fully understand counting on in math, then it's time for you to start these counting on activities, which we have included without any working out.
If students are struggling with the math, print out this page and have them circle the largest number of the sum, which they can then use to add on the smaller number. This is a good visual hack for improving students' ability to comprehend this math by themselves.
12. 9 + 2 =
13. 1 + 4 =
14. 8 + 3 =
15. 14 + 2 =
16. 33 + 3=
17. 3 + 7 =
18. 4 + 22 =
19. 110 + 2 =
20. 5 + 17=
21. 6 + 4 =
Here at Kidadl, we have carefully created lots of interesting family-friendly facts for everyone to enjoy! If you liked our suggestions for addition strategies, then why not take a look at addition facts to 10, or if you need some tools to help your English skills, check out our facts about reading.
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