Mathematics
Kindergarten
15 min
Count on ten frames - up to 10
Count on ten frames - up to 10
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1
Introduction & Learning Objectives
Learning Objectives
Reinforce number sense and automaticity for sums up to 10.
Utilize the 'counting on' strategy with ten frames to efficiently solve addition problems within 10.
Visually identify the complement to 10 using ten frames.
Develop mental math strategies by visualizing ten frames for small number operations.
Explain the efficiency of counting on compared to counting all.
Connect ten-frame representations to basic algebraic thinking (e.g., finding a missing addend).
Ever wonder how some people can add small numbers super fast in their head? 🧠It's often because they've mastered visualizing numbers!
In this lesson, we'll revisit the powerful tool of ten frames to strengthen our number sense and master the 'counting on' strategy...
2
Key Concepts & Vocabulary
TermDefinitionExample
Ten FrameA 2x5 grid (two rows of five) used to organize counters and visualize numbers up to 10. It helps in understanding number relationships, especially with the benchmark of 5 and 10.A ten frame with 7 dots clearly shows one full row of 5 and 2 dots in the second row, making it easy to see 7 and that 3 more are needed to make 10.
Counting OnA mental math strategy for addition where you start from the larger number (or the number already represented) and count up the additional amount, rather than counting all items from one.To solve 6 + 3, you start at 6 and then count '7, 8, 9' (three counts), arriving at 9. On a ten frame, you'd see 6 dots and then add 3 more.
Number SenseAn intuitive understanding of numbers, their relationships, and how they ar...
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Core Formulas
Ten Frame Filling Rule
When representing a number on a ten frame, always fill the top row (left to right) first, then the bottom row (left to right).
This standardized filling method helps in quickly subitizing numbers and identifying complements to 10, as it creates consistent visual patterns.
Counting On Strategy Rule
To find the sum of two numbers, start with the first number and count forward the number of times indicated by the second number. Do not recount the starting number.
This rule describes the efficient 'counting on' strategy. For example, to calculate $A + B$, you start at $A$ and count $B$ more times. On a ten frame, this means starting from the number of filled dots and adding more.
Complements to 10 Rule
If a ten frame has $N$ filled spaces,...
4 more steps in this tutorial
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Challenging
The tutorial explains how to find a missing part to make 10. How does this visual ten-frame strategy relate to the concept of subtraction, for instance, solving 10 - 7?
A.It is unrelated; ten frames are only for addition.
B.Finding the missing part (complement) is the same as finding the difference between the total and the known part.
C.You must first add 10 and 7, then use the ten frame.
D.You would represent 10 dots and then physically remove 7, which is 'counting back'.
Challenging
If 'n' represents any number of dots (where n ≤ 10) shown on a ten frame, which algebraic expression represents the complement to 10?
A.n + 10
B.n - 10
C.10 * n
D.10 - n
Challenging
A peer explains the 'counting on' strategy for 4 + 3: 'You count four dots, 1, 2, 3, 4. Then you keep counting for three more: 5, 6, 7. The answer is 7.' What is the most significant flaw in this explanation, based on the tutorial's definition of efficiency?
A.The final answer is incorrect.
B.They should have used blue and red dots.
C.They described 'counting all' instead of 'counting on', which is less efficient.
D.They did not mention the 'Ten Frame Filling Rule'.
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