Word problem: A mathematical problem presented in a real-life context using words
- Identify the numbers in the problem (5 and 3)
- Identify what operation is needed (addition)
- Set up the equation (5 + 3)
- Solve the equation (5 + 3 = 8)
Sarah starts with 5 apples and gets 3 more
She gets MORE apples, so we add
5 + 3 = ?
5 + 3 = 8
Sarah has 8 apples now
• Problem solving: Identify key information in word problems
• Addition: Combine quantities to find totals
• Units: Include the correct units in your answer
Counting on: Starting with the larger number and counting up
Tom starts with 7 cars and gets 4 more
He gets MORE cars, so we add
Start at 7 and count 4 more: 8, 9, 10, 11
7 + 4 = 11
Tom has 11 toy cars now
• Counting on strategy: Start with the larger number
• Sequential counting: Count each number in sequence
• One-to-one correspondence: Each count represents one added
Making ten: Breaking apart one number to make 10 with the other
Emma starts with 9 stickers and gets 6 more
Break 6 into 1 + 5 to make 10 with 9
(9 + 1) + 5 = 10 + 5 = 15
10 + 5 = 15
Emma has 15 stickers now
• Making ten strategy: Use 10 as a benchmark
• Decomposition: Break apart numbers strategically
• Associative property: Group numbers differently
Doubles plus one: Using a doubles fact and adding one more
6 + 7 is close to 6 + 6
6 + 6 = 12
Since 7 is one more than 6, add 1 to the double
12 + 1 = 13
Jake has 13 cookies now
• Doubles plus one strategy: Use known doubles facts
• Near doubles: Numbers that differ by 1
• Pattern recognition: See relationships between numbers
Commutative property: Order of addends doesn't change the sum
4 + 8 = 8 + 4 (start with the larger number)
Start at 8 and count 4 more: 9, 10, 11, 12
The last number counted is the answer
4 + 8 = 12
There are 12 birds on the tree now
• Commutative property: a + b = b + a
• Efficiency: Start with the larger number
• Counting on: Sequential counting strategy
Altogether: A word that indicates addition is needed
Lily has 3 crayons and finds 9 more
Break 9 into 7 + 2 to make 10 with the first 3
(3 + 7) + 2 = 10 + 2 = 12
10 + 2 = 12
Lily has 12 crayons altogether
• Decomposition strategy: Break numbers into helpful parts
• Make 10 strategy: Use 10 as a benchmark number
• Associative property: Group numbers differently
Adding Word Problems
Problem-Solving Steps
5 + 3 = 8 apples
7 + 4 = 11 cars
Tip: Draw pictures if needed!
This section provides a comprehensive overview of adding word problems, including definitions, methods, strategies, and key concepts for 1st grade students.
Word Problem: A mathematical problem presented in a real-life context using words.
Addition: Combining quantities to find totals.
Context Clues: Words that indicate which operation to use.
Counting On: Starting with the larger number and counting up.
• Addition: Look for words like "more," "added," "total," "altogether"
• Always start with the larger number when counting on
• Use 10 as a benchmark number for easier addition
• Order doesn't matter (commutative property)
Counting On: Start with the larger number and count up
Making Ten: Break apart numbers to make 10 first
Doubles Plus One: Use known doubles facts
Number Line: Visual representation of addition
Counting On: 7 + 4 = start at 7, count 4: 8, 9, 10, 11
Making Ten: 9 + 6 = 9 + 1 + 5 = 10 + 5 = 15
Doubles Plus One: 6 + 7 = 6 + 6 + 1 = 12 + 1 = 13
Commutative: 4 + 8 = 8 + 4 = 12
• Draw pictures to visualize the problem
• Look for clue words that indicate addition
• Start with the larger number to minimize counting
• Always check if your answer makes sense in the context
• Missing numbers in the problem
• Forgetting units in the answer
• Not recognizing opportunities to make 10
• Miscounting when using counting on strategy
Questions & Answers
Question: How do I know when to add in word problems? Sometimes I see big numbers and get confused.
Answer: Great question! Here are the clue words to look for that mean you need to add:
Addition words: "more," "added," "total," "altogether," "in all," "combined," "gets," "finds," "collects," "joins," "together"
For example:
- "Sarah gets 5 more apples" → ADDITION (she has MORE)
- "There are 7 birds and 8 more join them" → ADDITION (they COME TOGETHER)
Don't worry about big numbers! Just focus on what's happening in the story. If things are being combined or joined together, it's addition. If you see these clue words, you'll know it's addition!
When in doubt, draw a picture to help visualize what's happening!
Question: My child struggles with word problems. How can I help them break these down into manageable parts?
Answer: Word problems can be challenging! Here are effective strategies:
- Read slowly: Have your child read the problem multiple times
- Highlight numbers: Circle or underline the numbers in the problem
- Draw pictures: Visualize the problem with drawings
- Act it out: Use manipulatives or act out the scenario
- Ask questions: "What do I know?" "What do I need to find?"
For example, in "Lily has 3 crayons and finds 9 more":
- First: What do I know? Lily has 3, finds 9
- Second: What do I need to find? Total crayons
- Third: What operation? "More" means add
- Fourth: Solve: 3 + 9 = 12
Practice with simple word problems first, then gradually increase complexity. Consistent practice will build confidence!
Question: Do I always have to write the number sentence? Can't I just count in my head?
Answer: That's a great question! Writing the number sentence is really helpful, even if you can count in your head. Here's why:
- It helps you organize your thinking
- You can check your work more easily
- It prepares you for harder problems later
- Teachers can see how you solved the problem
For example, if the problem is "Tom has 7 cars and gets 4 more," writing "7 + 4 = 11" helps you remember what you did.
As you get older and the problems get harder, writing number sentences becomes even more important!
It's like showing your work - it helps everyone understand how you got your answer.
Even if you solve it in your head, writing the number sentence is good practice!