Addition within 20: No Regrouping

Free sample questions, a clear explanation, and 5 practice skills with an AI tutor that guides without giving the answer away.

Let's Be Addition Explorers!

Hi, Math Adventurer! Have you ever built a super tall tower with your blocks? Imagine you have a tower with 11 blocks. Then, you find 4 more blocks to add to the top. Your tower gets taller, right? That's exactly what we're doing with addition! We're just putting groups together to see how many we have in all. It's that simple!

Adding with Pictures!

Let's solve 13 + 5. Pictures can help us see the numbers! We can use a ten frame. 13 is one full ten frame (that's 10!) and 3 extra dots.

= 18

Now, we add 5 more dots. We can see we have one full ten frame and 8 extra dots. That's 18! We didn't have to regroup or make a new ten. Easy peasy!

Key Takeaway: The "Count On" Trick!

When you add, put the bigger number in your head and count on with your fingers! For 12 + 4, think "12..." then count up four times: "13, 14, 15, 16!" The answer is 16!

Solving a Story Problem

Let's try one! "Leo saw 11 ducks in the pond. Then, 7 more ducks swam over. How many ducks are there in all?"

The numbers are 11 and 7.
The words "in all" tell us to add!
Let's use our "Count On" trick: Put 11 in your head, and count on 7. You'll get 18!
So, 11 + 7 = 18. There are 18 ducks!

Game Time: Addition Race!

Let's play a game to practice!

What you need: One die, a piece of paper, and a small toy for each player (like a button or a pebble).

How to play:

Draw a path with 20 spaces on the paper. This is your game board!
Everyone starts at 10.
Take turns rolling the die. Add the number you roll to the number of the space you are on. (Example: If you are on space 12 and roll a 3, you do 12 + 3 = 15. Move to space 15!)
The first person to land exactly on 20 wins!

Sample questions

1. Maria has 12 red apples. Her friend gives her 3 green apples. If Maria puts all her apples together, how many apples does she have in total?

○ 13 apples

○ 14 apples

○ 16 apples

✓ 15 apples

Answer: 15 apples — Start with 12 apples. Count 3 more: 13, 14, 15.

2. Imagine you have 10 blue building blocks. Your friend gives you 5 more red building blocks. How many building blocks do you have in all?

✓ 15 blocks

○ 10 blocks

○ 5 blocks

○ 16 blocks

Answer: 15 blocks — Count on from 10: 11, 12, 13, 14, 15.

3. Tom has 14 colorful crayons in his box. He finds 2 more crayons under his desk. How many crayons does Tom have now?

○ 12 crayons

○ 15 crayons

✓ 16 crayons

○ 17 crayons

Answer: 16 crayons — Start with 14. Count 2 more: 15, 16.

Skills in this topic

Add a one-digit number to a two-digit number (up to 20) without regrouping, using concrete objects.
Add numbers within 20 (no regrouping) using pictorial representations (e.g., ten frames, number lines).
Solve addition equations within 20 (no regrouping) using mental strategies.
Apply addition strategies to solve simple one-step word problems within 20 (no regrouping).
Design a simple game that involves adding numbers within 20 without regrouping, explaining the rules.

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