Ten frames help young students see numbers instead of only counting one by one. This cheat sheet gives kindergarten and first grade students a clear reference for making numbers to 10 and 20. It supports counting, comparing, adding, and explaining number ideas with pictures.
Students can use it during centers, small groups, homework, or quick classroom review.
The main idea is that a full ten frame shows 10, and two ten frames can show numbers up to 20. Students learn to read filled dots and empty spaces, such as 7 is 5 and 2 more, or 10 and 4 makes 14. Comparing numbers means deciding which number is greater, less, or equal.
Subitizing helps students see small groups quickly without counting every dot.
Key Facts
- A full ten frame has 10 spaces, arranged as 2 rows of 5.
- To show a number on a ten frame, fill spaces from left to right, starting on the top row.
- Two full ten frames show 20 because 10 + 10 = 20.
- A teen number can be shown as 10 and some more, such as 14 = 10 + 4.
- The greater number is the number that has more objects, such as 8 > 5.
- The less number is the number that has fewer objects, such as 3 < 6.
- Equal means both groups have the same amount, such as 7 = 7.
- Subitizing means seeing how many are in a small group without counting each one.
Vocabulary
- Ten frame
- A ten frame is a rectangle with 10 spaces used to show numbers with dots or counters.
- Counter
- A counter is an object or dot used to stand for one item in a group.
- Number sense
- Number sense is understanding what numbers mean and how they relate to each other.
- Compare
- To compare numbers means to decide which number is greater, less, or equal.
- Subitize
- To subitize means to know how many objects are in a small group without counting one at a time.
- Number sentence
- A number sentence uses numbers and symbols to show a math idea, such as 6 + 2 = 8.
Common Mistakes to Avoid
- Starting in random spaces on a ten frame is a mistake because it makes the number harder to see quickly. Fill spaces from left to right and top row first.
- Counting empty spaces instead of filled counters is a mistake because the counters show the number. Empty spaces show how many more are needed to make 10.
- Saying 13 means 1 and 3 is a mistake because 13 means 10 and 3 more. Use two ten frames to show 13 = 10 + 3.
- Mixing up greater than and less than is a mistake because the symbols point to different ideas. The greater number has more, and the open side of > or < faces the greater number.
- Counting every dot when a group is easy to see is a mistake because subitizing builds faster number sense. Try seeing groups like 5 and 2 to know 7 quickly.
Practice Questions
- 1 A ten frame has 6 filled spaces. How many more spaces are needed to make 10?
- 2 Two ten frames show one full ten frame and 5 more counters. What number is shown, and what number sentence matches it?
- 3 Compare the numbers 9 and 12 using >, <, or =.
- 4 A child sees 8 dots as 5 dots and 3 more dots. Explain why this is faster than counting all 8 dots one by one.