Lesson Plan
Math Detective: 3-Digit Word Problems
Students will be able to solve one-step addition or subtraction word problems involving three-digit numbers by identifying keywords and applying the correct operation.
Understanding how to solve word problems helps students apply math skills to real-world situations, improving their critical thinking and problem-solving abilities. This foundational skill is essential for more complex math concepts.
Audience
2nd Grade Student (Individual Session)
Time
15 minutes
Approach
Guided practice and direct instruction with a focus on identifying operation keywords.
Materials
Prep
Teacher Preparation
5 minutes
- Review the Slide Deck: Math Detective content and teacher notes.
- Print copies of the Worksheet: Code Breaker Word Problems and Answer Key: Code Breaker Word Problems.
- Review the Script: Solving Word Problems to familiarize yourself with talking points and guided questions.
- Ensure all materials are easily accessible for a smooth individual session.
- Have a pencil and scratch paper ready for the student.
Step 1
Warm-Up: Operation Osprey
2 minutes
Begin the session with the Warm-Up: Operation Osprey activity. Present the student with two simple word problems (one addition, one subtraction) to quickly activate their prior knowledge of identifying operations. Guide them to verbalize how they know which operation to use.
Step 2
Introduction: Math Detective Briefing
2 minutes
Introduce the concept of being a 'Math Detective' using the first slide of the Slide Deck: Math Detective. Explain that today they will be solving word problems with bigger numbers, but the detective skills remain the same. Emphasize looking for clues (keywords). Use the Script: Solving Word Problems for detailed talking points.
Step 3
Guided Practice: Clue Hunt
6 minutes
Go through the guided practice problems on the Slide Deck: Math Detective. For each problem:
- Read the problem aloud with the student.
- Ask the student to identify keywords that tell them whether to add or subtract.
- Guide them through setting up the three-digit addition or subtraction problem.
- Work together to solve the problem, encouraging the student to explain their steps.
- Refer to the Script: Solving Word Problems for precise guidance and follow-up questions.
Step 4
Independent Practice: Code Breaker Word Problems
3 minutes
Provide the student with the Worksheet: Code Breaker Word Problems for independent practice. Instruct them to try and solve the problems on their own, reminding them to use their 'Math Detective' skills. Circulate or observe closely to offer support as needed, without giving away answers directly.
Step 5
Cool-Down: Problem-Solving Passport
2 minutes
Conclude the session with the Cool-Down: Problem-Solving Passport. Ask the student to complete the exit ticket, reflecting on one new strategy they learned or one thing they found challenging. Collect the cool-down for assessment of understanding and future planning.
use Lenny to create lessons.
No credit card needed
Warm Up
Warm-Up: Operation Osprey
Instructions: Read each problem carefully. Circle the word(s) that tell you whether to add or subtract. Then, tell your teacher what operation you would use to solve it.
-
Maya had 15 stickers. Her friend gave her 7 more stickers. How many stickers does Maya have in total?
Operation:
-
There were 20 birds on a branch. 9 birds flew away. How many birds were left on the branch?
Operation:
Slide Deck
Math Detective: Unlocking Word Problems
Are you ready to be a Math Detective today and solve some number mysteries?
Welcome the student and explain that today they will be Math Detectives solving word problems. Emphasize that word problems are like puzzles waiting to be solved!
Our Mission: 3-Digit Mystery!
Today, we will solve one-step addition or subtraction word problems using 3-digit numbers!🕵️♀️🔍
Clearly state the objective for the student. "Today, our mission is to become experts at solving word problems with bigger numbers—three-digit numbers! We'll use our detective skills to find the right answers."
Detective Tools: Keywords!
Addition Clues:
- Total
- Altogether
- In all
- Sum
- Plus
- More than
Subtraction Clues:
- Left
- Difference
- How many more?
- Take away
- Minus
- Fewer than
Explain to the student that good detectives look for clues. "Just like a detective looks for clues, we look for 'keywords' in math problems that tell us what to do. Let's find some!"
Guide the student to identify these keywords and their associated operations.
Case File #1: The Bookshelf Mystery
Sarah has 135 books on her top shelf. She has 243 books on her bottom shelf. How many books does she have in all?
Read the problem aloud. "Listen closely to this problem. What clues do you hear that tell us what to do?"
Guide the student to identify "in all" as an addition keyword.
"Great! If we need to find how many 'in all,' what operation should we use?" (Addition).
Guide them to set up the problem and solve. "How can we set up 135 + 243? What's 5 + 3? What's 30 + 40? What's 100 + 200? What's the total?"
Case File #2: The Bird Count
There were 458 birds in the park. 126 birds flew away. How many birds are left in the park?
Read the problem aloud. "Now for our next case! What clues jump out at you in this problem?"
Guide the student to identify "flew away" as a subtraction keyword.
"Excellent! If birds 'flew away,' are there more or less? What operation should we use?" (Subtraction).
Guide them to set up and solve. "How do we set up 458 - 126? What's 8 - 6? What's 50 - 20? What's 400 - 100? What's the difference?"
Case File #3: The Carnival Crowd
217 people were at the carnival in the morning. 361 more people came in the afternoon. How many people were at the carnival in total?
Read the problem aloud. "One more practice case! What keywords do you see here?"
Guide the student to identify "more people" as an addition keyword.
"You got it! If 'more people came,' are we adding or subtracting?" (Adding).
Guide them through the setup and solution. "How do we set up 217 + 361? What's 7 + 1? What's 10 + 60? What's 200 + 300? What's the sum?"
You're Ready, Detective!
You've practiced your detective skills! Now it's your turn to solve some new cases on your own. Remember to:
- Read carefully.
- Look for keywords.
- Decide: Add or Subtract?
- Solve the problem!
Encourage the student and transition to independent practice. "You've done a great job with these cases! Now it's time for you to use your new detective skills on your own. Remember to look for those keywords!"
Script
Solving Word Problems Script
Warm-Up: Operation Osprey (2 minutes)
Teacher: "Welcome, Math Detective! Today, we're going on an exciting mission to solve word problems. To get our detective brains warmed up, let's look at a couple of quick cases. Here's your Warm-Up: Operation Osprey sheet."
Teacher: "Read the first problem aloud for me, please."
(Allow student to read.)
Teacher: "Great! Now, what words in that problem give you a clue about whether you should add or subtract? Circle them for me."
(Guide student to circle 'more'. If they struggle, prompt: "Does Maya end up with more stickers or fewer stickers?")
Teacher: "If she gets more, what operation do we use? Add or Subtract?"
Student: (Should say Add)
Teacher: "Excellent! Now, read the second problem."
(Allow student to read.)
Teacher: "What words are clues in this problem? Circle them."
(Guide student to circle 'flew away'. If they struggle, prompt: "Are there more birds left or fewer birds?")
Teacher: "If birds flew away, what operation do we use? Add or Subtract?"
Student: (Should say Subtract)
Teacher: "Fantastic job getting your detective skills ready!"
Introduction: Math Detective Briefing (2 minutes)
Teacher: "Now, let's get ready for our main mission! Today, we'll be solving word problems with bigger numbers, three-digit numbers, but don't worry—our detective skills are still the same. We'll still look for those important keywords to help us crack the case! Take a look at our Slide Deck: Math Detective."
(Advance to Slide 1: Math Detective: Unlocking Word Problems)
Teacher: "See? We're Math Detectives! Our mission today is to unlock the secrets hidden in word problems."
(Advance to Slide 2: Our Mission: 3-Digit Mystery!)
Teacher: "Our specific mission today, as you can see, is to solve one-step addition or subtraction word problems using 3-digit numbers! This is super important because it helps us understand how to use math in real life."
(Advance to Slide 3: Detective Tools: Keywords!)
Teacher: "Remember how we just looked for clues? Here are some of our most important detective tools: our keywords! When we see words like 'total,' 'altogether,' or 'in all,' what do you think that tells us to do?"
Student: (Should say Add)
Teacher: "That's right! And what about words like 'left,' 'flew away,' 'difference,' or 'how many more'?"
Student: (Should say Subtract)
Teacher: "Perfect! Keeping these keywords in mind will make you a super problem solver!"
Guided Practice: Clue Hunt (6 minutes)
(Advance to Slide 4: Case File #1: The Bookshelf Mystery)
Teacher: "Let's try a case together. I'll read it first: 'Sarah has 135 books on her top shelf. She has 243 books on her bottom shelf. How many books does she have in all?'"
Teacher: "What keywords do you hear that tell you what operation we need?"
Student: (Should identify "in all".)
Teacher: "Exactly! 'In all' means we need to combine them. So, what operation is that?"
Student: (Should say Addition.)
Teacher: "That's right, addition! Can you show me how you would set up that addition problem to solve it?"
(Guide the student to write 135 + 243 vertically. Provide support with carrying if needed.)
Teacher: "Great! Let's solve it together. What's 5 + 3? What's 30 + 40? And what's 100 + 200? So, how many books does Sarah have in all?"
Student: (Should arrive at 378.)
Teacher: "Fantastic work, Detective! Let's move to our next case."
(Advance to Slide 5: Case File #2: The Bird Count)
Teacher: "Here's Case File #2: 'There were 458 birds in the park. 126 birds flew away. How many birds are left in the park?'"
Teacher: "What important clues do you notice in this problem? Which words tell you what to do?"
Student: (Should identify "flew away".)
Teacher: "Yes, 'flew away'! When birds fly away, does the total number of birds get bigger or smaller?"
Student: (Should say Smaller.)
Teacher: "So, what operation helps us find how many are left when numbers get smaller?"
Student: (Should say Subtraction.)
Teacher: "You got it! Subtraction! Can you set up the problem for us?"
(Guide the student to write 458 - 126 vertically. Provide support with borrowing if needed.)
Teacher: "Excellent setup! Let's solve it. What's 8 - 6? What's 50 - 20? And what's 400 - 100? What's our final answer? How many birds are left?"
Student: (Should arrive at 332.)
Teacher: "Brilliant deduction, Detective! You're really good at this. One more guided case!"
(Advance to Slide 6: Case File #3: The Carnival Crowd)
Teacher: "Our last guided case for today: '217 people were at the carnival in the morning. 361 more people came in the afternoon. How many people were at the carnival in total?'"
Teacher: "What clues do you see in this problem that point us to the right operation?"
Student: (Should identify "more people" or "in total".)
Teacher: "Great catch! 'More people' and 'in total' both tell us what?"
Student: (Should say Addition.)
Teacher: "Spot on! It's addition. Go ahead and set up this problem."
(Guide the student to write 217 + 361 vertically.)
Teacher: "Perfect! Let's solve it. What's 7 + 1? What's 10 + 60? And what's 200 + 300? So, what's the total number of people at the carnival?"
Student: (Should arrive at 578.)
Teacher: "Outstanding work on all these cases! You've really mastered finding those keywords and choosing the right operation."
Independent Practice: Code Breaker Word Problems (3 minutes)
(Advance to Slide 7: You're Ready, Detective!)
Teacher: "You've practiced your detective skills so well, you're ready to tackle some new cases on your own! Here is your Worksheet: Code Breaker Word Problems."
Teacher: "Remember our detective steps: First, read carefully. Then, look for those important keywords. After that, decide if you need to Add or Subtract. And finally, solve the problem! I'll be right here if you have any questions."
(Allow student to work independently, providing gentle reminders of strategies if they get stuck, but avoid giving direct answers.)
Cool-Down: Problem-Solving Passport (2 minutes)
Teacher: "Alright, Math Detective, time to wrap up our mission for today! You did a fantastic job. Now, I have one final task for your Cool-Down: Problem-Solving Passport."
Teacher: "On this passport, I'd like you to tell me one strategy you learned today that helped you solve a word problem, or one thing you found a little tricky. This helps me know what we might work on next time."
(Collect the cool-down after the student completes it.)
Teacher: "Thank you for being such a great Math Detective today! You worked hard, and I'm proud of your effort!"
Worksheet
Code Breaker Word Problems
Instructions: Read each word problem carefully. Be a Math Detective and look for clues! Decide if you need to add or subtract, then show your work and write your answer.
Case #1
There were 345 red balloons and 212 blue balloons at the fair. How many balloons were there altogether?
Show your work:
Answer:
Case #2
A baker made 579 cookies. He sold 325 cookies. How many cookies does the baker have left?
Show your work:
Answer:
Case #3
Farmer McGregor picked 187 apples in the morning. In the afternoon, he picked 402 more apples. What is the total number of apples he picked?
Show your work:
Answer:
Case #4
The school library has 680 books. Students checked out 250 books. How many books are remaining in the library?
Show your work:
Answer:
Answer Key
Answer Key: Code Breaker Word Problems
Case #1
There were 345 red balloons and 212 blue balloons at the fair. How many balloons were there altogether?
- Keyword Analysis: The word "altogether" indicates that we need to combine the numbers, meaning addition.
- Operation: Addition
- Setup:
345 + 212 ----- - Solution:
- 5 + 2 = 7 (ones place)
- 4 + 1 = 5 (tens place)
- 3 + 2 = 5 (hundreds place)
345 + 212 ----- 557 - Answer: There were 557 balloons altogether.
Case #2
A baker made 579 cookies. He sold 325 cookies. How many cookies does the baker have left?
- Keyword Analysis: The words "sold" and "left" indicate that some items were taken away, meaning subtraction.
- Operation: Subtraction
- Setup:
579 - 325 ----- - Solution:
- 9 - 5 = 4 (ones place)
- 7 - 2 = 5 (tens place)
- 5 - 3 = 2 (hundreds place)
579 - 325 ----- 254 - Answer: The baker has 254 cookies left.
Case #3
Farmer McGregor picked 187 apples in the morning. In the afternoon, he picked 402 more apples. What is the total number of apples he picked?
- Keyword Analysis: The words "more" and "total" indicate that we are adding to a previous amount to find the sum.
- Operation: Addition
- Setup:
187 + 402 ----- - Solution:
- 7 + 2 = 9 (ones place)
- 8 + 0 = 8 (tens place)
- 1 + 4 = 5 (hundreds place)
187 + 402 ----- 589 - Answer: Farmer McGregor picked a total of 589 apples.
Case #4
The school library has 680 books. Students checked out 250 books. How many books are remaining in the library?
- Keyword Analysis: The words "checked out" and "remaining" indicate that some items were removed, meaning subtraction.
- Operation: Subtraction
- Setup:
680 - 250 ----- - Solution:
- 0 - 0 = 0 (ones place)
- 8 - 5 = 3 (tens place)
- 6 - 2 = 4 (hundreds place)
680 - 250 ----- 430 - Answer: There are 430 books remaining in the library.
Cool Down
Cool-Down: Problem-Solving Passport
Instructions: Before your mission is complete, fill out your Problem-Solving Passport!
-
One new strategy I learned today to solve word problems is:
-
One thing I still find a little tricky about word problems is: