Subtraction: Taking away a certain number from another number
Word problem: A math problem presented in a story format
- Identify the starting amount (what Sarah had)
- Identify how much was taken away (what was eaten)
- Subtract the taken amount from the starting amount
Sarah started with 8 apples
She ate 3 apples
8 - 3 = 5
Sarah has 5 apples now.
• Subtraction: Start with the bigger number and subtract the smaller number
• Take away: Keywords like "ate" or "took" indicate subtraction
• Problem solving: Find what happened to the original amount
• Practice Tip: Use fingers or counters to visualize the subtraction
- 5 - 2 = 3 (5 apples, eat 2, have 3 left)
- 7 - 4 = 3 (7 toys, give away 4, have 3 left)
- 6 - 1 = 5 (6 cookies, eat 1, have 5 left)
- Look for keywords like "took", "ate", "gave away", "lost" for subtraction
- Start with the bigger number and subtract the smaller number
- Count backwards to check your answer
Q: How do I know it's subtraction?
A: Look for words like "took", "ate", "gave", "lost" - these mean something is being taken away.
Q: What if I get a negative number?
A: You won't in kindergarten! The number taken away is always smaller than the starting number.
Subtraction: Finding how many are left after some are taken away
Flying away: A common action indicating subtraction in word problems
- Identify the starting number (birds on tree)
- Identify how many went away (flew away)
- Subtract the gone amount from the starting amount
There were 6 birds on the tree
2 birds flew away
6 - 2 = 4
There are 4 birds left on the tree.
• Subtraction: Start with the bigger number and subtract the smaller number
• Action words: "Flew away" indicates subtraction
• Problem solving: Find what remains after some leave
• Practice Tip: Draw pictures to help visualize the problem
- 8 - 3 = 5 (8 butterflies, 3 fly away, 5 stay)
- 9 - 4 = 5 (9 fish, 4 swim away, 5 stay)
- 7 - 1 = 6 (7 cats, 1 runs away, 6 stay)
- Actions like "fly away", "swim away", "run away" mean subtraction
- Draw or imagine the scene to understand what's happening
- Count what's left after the action happens
Q: What if more birds come?
A: Then it would be addition: birds came TO the tree.
Q: Can I add if birds fly away?
A: No, "away" means leaving, so always subtract.
Lost: Something that is no longer available, indicating subtraction
Remaining: What is left after some has been taken away
- Identify the starting number (toys Tom had)
- Identify how many were lost
- Subtract the lost amount from the starting amount
Tom started with 9 toys
He lost 4 toys
9 - 4 = 5
Tom has 5 toys now.
• Subtraction: Start with the bigger number and subtract the smaller number
• Loss words: "Lost", "misplaced", "missing" indicate subtraction
• Problem solving: Find what remains after loss
• Practice Tip: Use toy counters to physically demonstrate the problem
- 10 - 6 = 4 (10 marbles, lose 6, have 4 left)
- 7 - 3 = 4 (7 crayons, lose 3, have 4 left)
- 8 - 5 = 3 (8 stickers, lose 5, have 3 left)
- Words like "lost", "misplaced", "missing", "broken" mean subtraction
- Think: "How many did I START with?" and "How many did I LOSE?"
- Count what's still available after the loss
Q: What if I find the toys later?
A: Then it would be addition: finding toys adds to what you have.
Q: How do I know if it's lost or found?
A: "Lost" means subtraction, "found" means addition.
Eaten: Consumed food, indicating subtraction from the original amount
Left: What remains after some has been consumed or taken away
- Identify the starting number (cookies baked)
- Identify how many were eaten
- Subtract the eaten amount from the starting amount
Mom baked 10 cookies
The children ate 6 cookies
10 - 6 = 4
There are 4 cookies left.
• Subtraction: Start with the bigger number and subtract the smaller number
• Consumption words: "Ate", "drank", "consumed" indicate subtraction
• Problem solving: Find what remains after consumption
• Practice Tip: Use actual cookies or counters to demonstrate
- 8 - 3 = 5 (8 cupcakes, eat 3, 5 left)
- 12 - 7 = 5 (12 candies, eat 7, 5 left)
- 5 - 2 = 3 (5 crackers, eat 2, 3 left)
- Words like "ate", "drank", "ate up", "finished" mean subtraction
- Food problems often involve eating, drinking, or sharing
- Count what's still uneaten after the consumption
Q: What if someone bakes more?
A: Then it would be addition: baking more adds to what exists.
Q: Can I eat more than I have?
A: No, in word problems, you can only eat what's available.
Popped: Burst or broken, indicating subtraction from the original amount
Destroyed: Something that no longer exists, meaning it's subtracted
- Identify the starting number (balloons Sam had)
- Identify how many were destroyed (popped)
- Subtract the destroyed amount from the starting amount
Sam started with 7 balloons
3 balloons popped
7 - 3 = 4
Sam has 4 balloons now.
• Subtraction: Start with the bigger number and subtract the smaller number
• Destruction words: "Popped", "broke", "destroyed" indicate subtraction
• Problem solving: Find what remains after destruction
• Practice Tip: Draw balloons and cross out the popped ones
- 9 - 4 = 5 (9 bubbles, 4 pop, 5 remain)
- 6 - 2 = 4 (6 soap bubbles, 2 burst, 4 remain)
- 8 - 5 = 3 (8 soap bubbles, 5 disappear, 3 remain)
- Words like "popped", "burst", "broke", "destroyed" mean subtraction
- These problems often involve fragile items that can break
- Count what's still intact after the destruction
Q: What if I blow up more balloons?
A: Then it would be addition: adding more balloons.
Q: Can I pop more than I have?
A: No, in word problems, only existing items can be destroyed.