How many flowers does Sarah have now? Show your thinking.
One-Step Word Problem: A mathematical problem that requires only one operation to solve.
- Read the problem carefully
- Identify what is given and what is asked
- Find the key words that tell you which operation to use
- Solve the problem using one operation
Sarah has 4 flowers initially
Her friend gives her 3 more flowers
Keywords: "gives" and "more" suggest addition
4 + 3 = 7
Sarah now has 7 flowers
Sarah has 7 flowers now (4 + 3 = 7)
• Key Words: "more" indicates addition
• Single Operation: Only one step needed to solve
• Combine Quantities: Adding combines two groups
How many balloons does Tom have left? Show your thinking.
Subtraction Word Problem: A problem that involves taking away or finding how many are left.
Tom has 8 balloons initially
He pops 3 balloons
Keywords: "pops" and "left" suggest subtraction
8 - 3 = 5
Tom has 5 balloons left
Tom has 5 balloons left (8 - 3 = 5)
• Key Words: "pops," "left," "takes away" indicate subtraction
• Single Operation: Only one step needed to solve
• Take Away: Subtraction shows how many remain
How many more goldfish does Lisa have than Mark? Show your thinking.
Comparison Word Problem: A problem that asks for the difference between two quantities.
Lisa has 6 goldfish
Mark has 4 goldfish
How many more goldfish does Lisa have than Mark?
Keywords: "how many more" suggests subtraction
6 - 4 = 2
Lisa has 2 more goldfish than Mark (6 - 4 = 2)
• Key Words: "how many more," "difference," "than" indicate subtraction
• Single Operation: Only one step needed to solve
• Compare Quantities: Find the difference between two amounts
One-Step Word Problem: A mathematical problem that requires only one operation to solve
Addition: Combining quantities to find a total
Subtraction: Taking away or finding the difference
- Read: Carefully read the entire problem
- Identify: Find what is given and what is asked
- Choose: Select the correct operation based on keywords
- Solve: Perform the single operation
- Check: Verify if the answer makes sense
• Read Carefully: Understand the problem before solving
• Find Key Words: Identify operation clues in the text
• One Operation Only: One-step problems require only one calculation
• Check Your Answer: Make sure it fits the story
How many balls are in the box altogether? Show your thinking.
Combination Word Problem: A problem that combines two or more groups of the same type.
There are 5 red balls
There are 2 blue balls
How many balls altogether?
Keywords: "altogether" suggests addition
5 + 2 = 7
There are 7 balls in the box altogether
There are 7 balls in the box altogether (5 + 2 = 7)
• Key Words: "altogether" indicates addition
• Combine Groups: Add different groups of the same thing
• Single Operation: Only one step needed to solve
How many toy cars does Jake have now? Show your thinking.
Remaining Word Problem: A problem that asks how many are left after some are taken away.
Jake had 9 toy cars initially
He lost 3 toy cars
How many toy cars does Jake have now?
Keywords: "lost" and "now" suggest subtraction
9 - 3 = 6
Jake has 6 toy cars now
Jake has 6 toy cars now (9 - 3 = 6)
• Key Words: "lost" and "now" indicate subtraction
• Take Away: Shows how many remain after losing some
• Single Operation: Only one step needed to solve
One-Step Word Problem: A mathematical problem that requires only one operation to solve
Addition: Combining quantities to find a total
Subtraction: Taking away or finding the difference
Comparison: Finding how much more or less one quantity is than another
Combination: Joining different groups of the same type
Remaining: Finding how many are left after some are taken away
- Read: Carefully read the entire problem sentence by sentence
- Identify: Find what information is given and what is being asked
- Choose: Select the correct operation based on keyword clues
- Solve: Perform the single operation to get the answer
- Check: Verify if the answer makes sense in the context
• Only One Operation: These problems require exactly one calculation
• Keyword Clues: Words in the problem indicate which operation to use
• Context Matters: The answer should make sense in the real-world situation
• Check Your Work: Always verify that your solution fits the problem
• Number Sense: Understanding quantity, counting, and number relationships
• Operations: Addition and subtraction within 10 or 20
• Real-World Context: Problems involving familiar objects and situations
• Simple Language: Clear, straightforward wording appropriate for Grade 1
• Visual Support: Pictures and diagrams help understand the problem
- Draw a Picture: Visualize the problem with diagrams
- Use Objects: Count with manipulatives like blocks or counters
- Act it Out: Use role-playing to understand the situation
- Count On: For addition, start with the first number and count up
- Count Back: For subtraction, start with the first number and count down
• Wrong Operation: Choosing addition when it should be subtraction (or vice versa)
• Rushing Through: Not reading the problem carefully enough
• Missing Details: Skipping important information in the problem
• Not Checking: Forgetting to verify if the answer makes sense
• Wrong Order: Subtracting the wrong way (larger minus smaller vs. smaller minus larger)
Questions & Answers
Question: I don't understand how to know if I should add or subtract in word problems. The words all seem the same to me. Can you help me figure out the difference?
Answer: Great question! Here's how to tell the difference:
- Addition words: "more," "total," "altogether," "in all," "plus," "combined," "both"
- Subtraction words: "left," "remaining," "take away," "gave away," "less," "fewer," "spend"
- Think about the story: Are things being put together (add)? Or are things being taken away (subtract)?
Examples: "I have 3 apples and get 2 more" → ADDITION (3 + 2)
"I have 5 cookies and eat 2" → SUBTRACTION (5 - 2)
Tips: Draw pictures of the problem or use your fingers to act it out!
Question: Sometimes I solve the problem but my answer doesn't make sense. How can I check if I got the right answer?
Answer: Checking your answer is super important! Here are ways to verify:
- Does it fit the story?: If you started with 5 apples and ate 2, you can't end up with 10 apples!
- Work backwards: If you added, try subtracting to see if you get back to the starting number
- Use objects: Count out actual items to verify your answer
- Estimate first: Should the answer be bigger (addition) or smaller (subtraction)?
Example: If you solved "5 + 3 = 8", check by doing "8 - 3 = 5" or "8 - 5 = 3".
Always ask: "Is this answer reasonable for this problem?"
Question: I get confused when word problems have extra information. How do I know what numbers to use?
Answer: This is a common challenge! Here's how to focus on what matters:
- Find the question: Read the last sentence first - it tells you what to find
- Circle the numbers: Highlight all the numbers in the problem
- Connect to the question: Which numbers help answer the specific question?
- Ignore extras: Some details are just there to make the story more interesting
Example: "Sarah has 4 red apples and 3 green apples. She gives 1 apple to her brother. How many apples does Sarah have left?"
Focus on: 4 + 3 = 7 total apples, then 7 - 1 = 6 apples left.
The color detail wasn't needed for the calculation!