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Split a teen number into ten and extra ones. Subtract from the ten-frame, then combine the remaining counters to find the difference.
Current mission
Think of 13 as 10 and 5.
One full ten
Extra ones
Think of 13 as 10 and 5.
Overview
Understand what the tool solves, how it works, and the boundaries of its data.
This visualizer models one way to subtract a single-digit number from a teen number. Break the teen number into one full ten and the remaining ones, subtract from ten, then add back those extra ones. In 13 − 5, think of 13 as 10 + 3: 10 − 5 = 5, and 5 + 3 = 8. The total is unchanged; the split makes the steps visible.
A ten-frame is a grid representing ten counters. The extra dots represent the ones beyond ten. The frame and equation move through the same reasoning: identify the full ten, take away the chosen amount, then combine the leftover counters. Grade-one standards in the Common Core include addition and subtraction within 20 and describe making or decomposing to ten among several useful strategies.
Guide
Follow the workflow and verify inputs and outputs with practical examples.
The first number is the minuend, the amount being subtracted from; the second is the subtrahend, the amount taken away. The default example is 13 − 5.
For 13, identify one full ten and 3 extra ones. Notice how the visual separates the ten-frame from those extra counters.
Work out 10 − 5 before advancing. The frame shows the counters left in the ten after taking away five.
Add the original 3 ones to the 5 left from ten. The final equation is (10 − 5) + 3 = 8.
Use the number controls to set another teen number and a single-digit subtraction, then reset or move backward to inspect each step.
Use cases
See how the tool fits into real work and everyday tasks.
Pause before each step and ask learners to predict the number remaining in the ten-frame. Have them connect the counters to the matching part of the equation.
A parent can model 13 − 5, then ask the child to explain why the extra 3 is added after subtracting 5 from 10.
Partners can solve the same example mentally and with the visualizer, then discuss whether the picture clarifies a step or whether another strategy feels easier.
Q&A
Find concise answers to common questions and confusing cases.
No. It is one strategy for the teen-number and single-digit example range shown here. Counting back, decomposing in another way, or using a known fact may also be useful.
Because those ones were part of the original teen number and were not included in the full ten. In 13 − 5, the 3 extra ones remain, so they are combined with the 5 left from 10.
No. The controls are bounded to teen-number minuends and single-digit subtrahends that remain smaller than the minuend. It is designed to illustrate this particular strategy.
Notes
Review scope, result limitations, and important precautions before use.
The visual is a learning aid, not a measure of mastery. Ask the learner to explain what each group represents and why the total is preserved when 13 is split into 10 and 3. The tool shows a worked model; it does not select a strategy for every curriculum, learner, or problem. Follow the terms and methods used in the learner’s class when comparing approaches.
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