Taking away: When we start with a number and remove some amount, we use subtraction to find what remains.
Note: This is the most basic subtraction concept for 1st graders. We identify the starting amount, the amount taken away, and find the remaining amount.
- Read the problem carefully and identify key numbers
- Find what we start with (total amount)
- Find what is taken away (subtracted amount)
- Subtract to find what remains
Sarah had 8 apples initially
She gave 3 apples to her friend
8 - 3 = ?
Count backwards: 8, 7, 6, 5 (we count back 3 numbers)
Sarah has 5 apples now.
• Problem identification: Look for keywords like "gave", "took", "left", "remaining"
• Subtraction setup: Starting amount - Taken away = Remaining amount
• Counting strategy: Use counting backwards or fingers to solve
• Practice Tip: Draw pictures to visualize the problem (draw 8 apples, cross out 3)
- I had 10 cookies, ate 4 cookies. How many are left? (10 - 4 = 6)
- There were 7 birds, 2 flew away. How many birds remain? (7 - 2 = 5)
- Tom had 9 pencils, lost 3 pencils. How many does he have? (9 - 3 = 6)
- Look for action words that indicate subtraction: "gave", "took", "ate", "lost", "flew away"
- Draw pictures or use fingers to visualize the problem
- Always check if your answer makes sense (should be less than the starting amount)
Q: How do I know when to subtract in a word problem?
A: Look for words like "gave away", "took", "left", "remaining", "less than", or "how many more".
Q: What if the numbers are too big to count?
A: For 1st grade, focus on numbers 0-20. Use drawings, number lines, or manipulatives to help.
Finding differences: When we compare two quantities to see how much more or less one is than the other, we use subtraction.
Note: This type of problem asks for the difference between two amounts. We subtract the smaller number from the larger number.
- Identify both quantities being compared
- Determine which is larger and which is smaller
- Subtract the smaller amount from the larger amount
- State the answer in the context of the problem
Tom has 12 marbles, Jerry has 7 marbles
12 is larger than 7
12 - 7 = ?
Count backwards from 12: 12, 11, 10, 9, 8, 7 (that's 5 numbers back)
Tom has 5 more marbles than Jerry.
• Comparison setup: Larger amount - Smaller amount = Difference
• Keyword recognition: Words like "more than", "less than", "difference" signal comparison
• Problem solving: Always subtract the smaller number from the larger number
• Practice Tip: Use manipulatives to physically show the comparison (align objects side by side)
- Sara is 8 years old, Ben is 5 years old. How much older is Sara? (8 - 5 = 3)
- Red car traveled 15 miles, blue car traveled 9 miles. How much farther did red car go? (15 - 9 = 6)
- Book A has 20 pages, Book B has 12 pages. How many more pages does Book A have? (20 - 12 = 8)
- Look for comparison words: "more than", "less than", "older", "younger", "farther", "difference"
- Always subtract the smaller number from the larger number
- Draw two groups and match them up to see the difference visually
Q: Does it matter which number I subtract from which?
A: Yes! Always subtract the smaller number from the larger number when finding differences.
Q: What if the problem says "how many fewer"?
A: Same as "how many less" - subtract the smaller from the larger. The difference is the same either way.
Part-whole relationship: When we know the total and one part, we can find the other part by subtracting.
Note: This problem involves understanding that the total is made up of two parts. If we know one part, we can find the other by subtraction.
- Identify the total amount
- Identify one of the parts
- Set up subtraction: Total - Known part = Unknown part
- Solve and check the answer
There are 15 children in total
9 of them are girls
Total - Girls = Boys
15 - 9 = ?
Count backwards from 15: 15, 14, 13, 12, 11, 10, 9 (that's 6 numbers back)
There are 6 boys in the playground.
• Part-whole relationship: Total - Known part = Unknown part
• Problem identification: Look for problems with a total and one part given
• Logical reasoning: Understand that parts make up the whole
• Practice Tip: Use objects to represent the total and separate them into parts
- There are 12 flowers, 5 are red. How many are not red? (12 - 5 = 7)
- 20 students in class, 11 brought lunch. How many didn't bring lunch? (20 - 11 = 9)
- 18 toys in box, 7 are cars. How many are not cars? (18 - 7 = 11)
- Look for problems with totals and parts: "total", "altogether", "in all", "part of"
- Understand that the total minus one part equals the other part
- Check your answer: Add the parts together to see if you get the total
Q: How do I know which number to subtract from which?
A: Subtract the known part from the total. The total is always the largest number in these problems.
Q: What if I have more than two parts?
A: Add all known parts together, then subtract from the total to find the unknown part.
Missing number problems: When we know the amount taken away and the amount remaining, we can find the original amount by adding.
Note: These problems are like subtraction in reverse. We use addition to solve them: Amount taken away + Amount remaining = Original amount.
- Identify what we know: amount taken away and amount remaining
- Recognize this is a missing number problem
- Use addition to find the original amount: taken away + remaining = original
- Verify the answer by checking with subtraction
Given away = 4 stickers, Remaining = 6 stickers
Amount given away + Amount remaining = Original amount
4 + 6 = ?
4 + 6 = 10
Original - Given away = Remaining: 10 - 4 = 6 ✓
You had 10 stickers at first.
• Missing number strategy: Original = Taken away + Remaining
• Reverse operation: Use addition to solve subtraction problems with missing start
• Verification: Always check by performing the original operation
• Practice Tip: Think "what number minus 4 gives me 6?" The answer is 10.
- I had some candies. Ate 3, now have 5 left. Started with? (3 + 5 = 8)
- Some books on shelf. Took 2, 7 remain. Originally had? (2 + 7 = 9)
- Some balloons popped. 6 burst, 4 left. Started with? (6 + 4 = 10)
- Look for problems that say "now I have" or "left" with an unknown start
- These problems require working backwards: add what was taken to what remains
- Always verify by doing the original subtraction to check your answer
Q: Why do I add when the problem is about subtraction?
A: Because we're finding the starting amount, which requires the reverse operation. If 4 were taken from the original to get 6, then original = 4 + 6.
Q: How can I tell if it's a missing number problem?
A: Look for problems asking "how many did I have at first" or "started with" when you know what was taken and what's left.
Real life scenarios: Word problems that connect subtraction to everyday situations like cooking, shopping, or sharing.
Note: These problems help students see the practical applications of subtraction in their daily lives and build problem-solving skills.
- Read the problem and identify the situation
- Find the starting amount (total)
- Find the amount that was used or taken
- Subtract to find what remains
Mom bought 14 eggs initially
She used 5 eggs to make pancakes
14 - 5 = ?
Count backwards from 14: 14, 13, 12, 11, 10, 9 (that's 5 numbers back)
She has 9 eggs left for the week
Mom has 9 eggs left for the week.
• Context understanding: Connect math to real-life situations
• Problem identification: Look for "used", "left", "remaining", "for later"
• Practical application: Show how subtraction helps manage resources
• Practice Tip: Relate problems to familiar activities like cooking, playing, or shopping
- Dad bought 20 apples, used 8 for pie. How many left for snacks? (20 - 8 = 12)
- Teacher had 15 markers, gave 6 to students. How many for herself? (15 - 6 = 9)
- Baker made 18 cupcakes, sold 11. How many to take home? (18 - 11 = 7)
- Connect math to everyday activities to make it more meaningful
- Use real objects like counters, coins, or food items to act out problems
- Always answer in the context of the original problem
Q: Why are real life problems important?
A: They help students see the relevance of math and develop critical thinking skills for practical situations.
Q: What if I don't understand the situation in the problem?
A: Read it again slowly, draw a picture, or ask someone to explain the scenario. Understanding the story is key to solving the math.