Counting on is a mental math strategy used for addition, where instead of calculating from scratch, you leverage existing knowledge to solve an addition problem.
How Counting On Works
According to the provided reference, here's how counting on works:
- Identify the Larger Addend: First, you determine which of the two numbers you are adding is larger. This is important because it reduces the number of steps in your calculation.
- Start with the Larger Number: Instead of beginning at 1 or zero, you begin with the larger number.
- Count Forward: You then count forward by the value of the smaller addend.
Example of Counting On
Let's illustrate this with a simple example:
Imagine you want to add 5 + 3.
- Identify the Larger Addend: 5 is the larger number.
- Start with the Larger Number: Begin at 5.
- Count Forward: Count forward 3 numbers, so 6, 7, 8.
Therefore, 5 + 3 = 8
Benefits of Using Counting On
- Efficiency: Counting on is often quicker than other addition methods, especially for small numbers.
- Mental Calculation: It encourages mental calculations, strengthening number sense.
- Foundation: This strategy can help build the foundation for more complex addition problems.
When To Use Counting On
Counting on works best when:
- One of the numbers is small, as this limits the counting.
- Both numbers are relatively small, where the process is less error-prone.
In summary, counting on is a mental math strategy for addition where students begin with the larger number and count forward by the smaller number, offering an efficient approach for smaller addition problems.
