Adding with Digits up to 5

Adding with digits up to 5 means putting together two small groups of things, where the two starting numbers and the total are all no bigger than 5. This is one of the very first steps in learning addition. Instead of jumping straight to numbers and symbols, this skill uses counters, fingers, pictures, and number lines so a child can actually see two groups joining into one bigger group.

For example, if there are 2 apples on one plate and 3 apples on another plate, adding them together means counting all the apples once they are combined: \( 2 + 3 = 5 \). Because the biggest number involved is 5, children can use their fingers or a short row of counters to check every answer.

The easiest way to add small numbers is to line up objects into two groups and then count everything together. Start with the first group, count it out loud, then keep counting as the second group is added on. This is closely connected to combining together with objects up to 5, where physical counters or pictures are joined to find a total.

Here is a simple picture of two groups of dots being joined to make a total of 5.

After counting objects like this, the next step is turning what was counted into a math sentence. That skill is covered in writing an addition statement up to 5, where the counted groups become numbers and a plus sign.

A number line is another helpful tool for adding with digits up to 5. To add \( 1 + 4 \), start at the point marked 1 on the number line, then make 4 hops forward, landing on 5.

Counting on like this works well because every number involved is small enough to track with fingers or dots. It also builds toward filling in missing numbers in a math sentence, which is explored in complete the addition statement up to 5.

Example 1: There are 3 birds sitting on a branch, and 2 more birds fly over to join them. How many birds are there now?

Count the first group: 3. Then count on 2 more: 4, 5. So \( 3 + 2 = 5 \).

Example 2: A basket has 0 balls, and 5 balls are placed inside it. How many balls are in the basket now?

Since nothing was there to start, the total is just the amount added: \( 0 + 5 = 5 \).

Example 3: Two hands show 2 fingers up on one hand and 3 fingers up on the other. Counting all fingers gives \( 2 + 3 = 5 \), the same total as \( 1 + 4 \) or \( 0 + 5 \). This shows that different pairs of numbers can add up to the same total.

• Use small everyday items, like crayons or buttons, to build two groups and count them together.
• Point to each object once while counting so nothing is skipped or counted twice.
• Practice with real-life situations to build confidence, similar to the scenarios in addition word problems up to 5.
• Keep totals no higher than 5 at first, then repeat the same problem in a different order, such as \( 3 + 1 \) and \( 1 + 3 \), to notice that the total stays the same.

Related lessons

• Kindergarten