Kindergarten · Operations · MAT-K-OPS-006
Solve Subtraction Stories Within 10
Identify taking-away and separating situations in simple stories.
Learning objectives
What you should be able to do
- Identify taking-away and separating situations in simple stories.
- Represent a subtraction story with objects, drawings, words, and an equation.
- Solve subtraction stories within 10 and explain what the difference means in context.
Prerequisite check
Make sure the foundation is ready.
Checks concrete subtraction understanding.
Checks part-whole reasoning.
Learn
Build the idea from meaning, not memorization.
Subtraction stories begin with a whole
A take-away story starts with a complete group and removes part of it. The starting amount matters because you cannot know what remains without knowing the whole.
Model the action before choosing an answer
For 7 birds with 2 flying away, build seven counters, remove or cross out two, and count the five that remain. Then record 7 − 2 = 5.
The difference has meaning in the story
In 7 − 2 = 5 birds, the 5 means five birds remain. A good solution names the objects or situation, not only the numeral.
Subtraction can also reveal a missing part
If a whole group of eight is divided into a removed part of three and a remaining part, subtraction finds that remaining part. This connects subtraction directly to decomposition.
Interactive math lab
Change it. See what stays true.
Ten-Frame Lab
Fill the frame from left to right and connect the visible amount to the numeral.
5 filled; 5 empty; 10 spaces altogether.
- hear story
- build whole
- remove part
- select equation
- label remainder
Worked examples
Twenty different ways to see the concept work.
3 apples; 1 is eaten.
3−1=2Two apples remain.
5 blocks; 2 are put away.
5−2=3Remove two from the starting five.
6 birds; 1 flies away.
6−1=5One less than six is five.
7 crayons; 3 are used up.
7−3=4Four remain.
8 balloons; 2 pop.
8−2=6Two are removed from the set.
10 cookies; 4 are eaten.
10−4=6Six remain.
5 toys; all 5 are put away.
5−5=0Removing the entire set leaves none.
6 books; none are removed.
6−0=6Removing zero changes nothing.
9 fish; 3 swim away.
9−3=6Six remain in the group.
4 stars; 2 are covered.
4−2=2Two remain visible.
A bus has 8 riders; 2 get off.
8−2=6Getting off decreases the quantity.
A shelf has 7 books; 1 is borrowed.
7−1=6Borrowing removes one from the shelf.
There are 10 pins; 7 are knocked down. How many stand?
10−7=3Three remain standing.
Six counters split into four removed and some remaining.
6−4=2The missing remaining part is two.
Which equation matches 5 frogs with 2 jumping away?
5−2=3The story removes part of the starting whole.
What does the 3 mean in 5−2=3 frogs?
Three frogs remainThe difference has a story unit.
Check 8−3=5 with addition.
5+3=8Remaining plus removed reconstructs the whole.
If one more object is removed from 6−2=4, what new difference?
3Removing an additional object lowers the remainder by one.
Why is 7−0=7?
No objects leave the groupThe whole stays unchanged.
Explain why a story ending with fewer objects than it started often suggests subtraction.
Some of the starting quantity was removed or separated.Subtraction models decreases and missing parts.
Practice
Guided practice with hints
015 ducks; 2 swim away.
Hint: Build five, remove two.
Answer: 3 ducks
027 pencils; one is taken.
Hint: One less than seven.
Answer: 6 pencils
03Write an equation for 9 blocks with 4 put away.
Hint: Start with 9 and subtract 4.
Answer: 9−4=5
04Explain the 5 in 9−4=5 blocks.
Hint: Connect it to what remains.
Answer: Five blocks remain.
05What happens in 6−6?
Hint: All six are removed.
Answer: 0
06Check 7−2=5 using addition.
Hint: Rejoin removed and remaining parts.
Answer: 5+2=7
Practice
Independent practice
014 birds − 1 bird
Answer: 3 birds
026 blocks − 2 blocks
Answer: 4 blocks
038 books − 3 books
Answer: 5 books
0410 stars − 5 stars
Answer: 5 stars
055 apples − 5 apples
Answer: 0 apples
067 balls − 0 balls
Answer: 7 balls
07Write an equation for 9 cats with 2 leaving.
Answer: 9−2=7
08What does the difference mean in a take-away story?
Answer: The amount remaining.
Common mistakes
Learn to catch the error, not just the answer.
Identify the starting whole first, then the amount removed.
Move or cross out removed items clearly.
Use the story unit: '4 crayons remain.'
Applications & challenge
Use the idea beyond a single exercise.
Applications
- Track how many items remain as objects are put away.
- Model people leaving a line or bus and determine how many stay.
Challenge problems
Write two different subtraction stories for 8−3=5.
Any two valid take-away contexts starting at eight and removing three.
A story starts with 9 and ends with 6 after some leave. How many left?
3
Why does subtracting zero not change the starting amount?
No members are removed from the set.
How can addition verify a subtraction story?
Add the removed amount back to the remainder; it should reconstruct the starting whole.
Flashcards
Retrieve it from memory.
Flashcards
Card 1 of 6
Game mode
Story Builder: Subtract
Model a short take-away story, choose the matching equation, and explain what remains.
Practice
Mastery check
015 birds minus 2 that fly away.
Answer: 3 birds
029 blocks minus 4 put away.
Answer: 5 blocks
03Write an equation for 8 children with 3 leaving.
Answer: 8−3=5
04What does the 5 represent?
Answer: Five children remain.
05Which operation fits a group getting smaller because items leave?
Answer: Subtraction
06Solve 7−2.
Answer: 5
07How can addition check 7−2=5?
Answer: 5+2=7
08Describe one way to model a subtraction story.
Answer: Use objects, drawings, crossed-out counters, or backward number-line hops.
Terminology
Words to know
- take-away story
- A situation where part of a starting group is removed.
- starting whole
- The full amount present before subtraction.
- difference
- The result of subtraction.
- remainder
- What is left in a take-away situation.
Continue learning
Connected concepts
Curriculum references
Standards and instructional references
California Common Core State Standards for Mathematics — Kindergarten Operations & Algebraic Thinking
Standards progression for addition/subtraction stories, unknowns, and making ten.