Lesson Plan
Mystery Multipliers
Students will be able to identify key information in multiplication word problems, create an equation, and solve them using a systematic approach with visual aids.
Understanding multiplication word problems helps students apply mathematical concepts to real-life situations, developing critical thinking and problem-solving skills essential for academic success and everyday challenges.
Audience
4th Grade Students (including those with autism)
Time
30 minutes
Approach
Visual cues, step-by-step guidance, and collaborative problem-solving.
Materials
Whiteboard or Projector, Markers or Pens, Mystery Multipliers Slide Deck, Mystery Multipliers Script, Word Problem Worksheet, and Word Problem Answer Key
Prep
Teacher Preparation
10 minutes
- Review the Mystery Multipliers Lesson Plan, Mystery Multipliers Slide Deck, and Mystery Multipliers Script to familiarize yourself with the content and flow.
* Print copies of the Word Problem Worksheet for each student.
* Have the Word Problem Answer Key ready for quick reference.
* Prepare your whiteboard or projector to display the slide deck.
* Ensure markers or pens are available for students to use on their worksheets.
* Consider any specific accommodations or visual supports individual students with autism might need (e.g., larger print, simplified language on personal whiteboards).
Step 1
Warm-Up: Math Talk (5 minutes)
5 minutes
- Begin by asking students to share one thing they know about multiplication. (e.g.,
Step 2
Introduction: What's the Mystery? (5 minutes)
5 minutes
- Introduce the concept of
Step 3
Guided Practice: Solving Mysteries Together (15 minutes)
15 minutes
- Walk through 1-2 examples from the Word Problem Worksheet together as a class, using the strategies outlined in the Mystery Multipliers Slide Deck and Mystery Multipliers Script.
* Emphasize identifying keywords, drawing pictures, writing the equation, and solving.
* Encourage students to work with a partner or small group to discuss their thinking process.
* Circulate around the room, providing individualized support and prompting as needed, especially for students who may struggle with processing multiple steps.
Step 4
Independent Practice/Check for Understanding (5 minutes)
5 minutes
- Have students complete 1-2 problems independently from the Word Problem Worksheet.
* Observe student work to gauge understanding. For students with autism, look for consistent application of steps, even if the final answer isn't perfect.
* Collect worksheets for review. Provide immediate feedback using the Word Problem Answer Key if time allows, focusing on the process.
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Slide Deck
Mystery Multipliers!
🕵️♀️ Let's Solve Some Puzzles! 🕵️♂️
- How can we use multiplication to solve real-world problems?
- What clues help us find the answer?
Welcome students! Today we're going to become 'Mystery Multipliers' and solve some fun word puzzles. Who's ready to put on their detective hats?
Our Mission: Word Problem Detectives
We will learn to:
- Read Carefully: Understand the story.
- Find the Clues: Identify numbers and keywords.
- Draw a Picture: Visualize the problem.
- Write the Equation: Set up the multiplication.
- Solve It!: Find the answer.
Explain that our mission is to learn how to understand and solve multiplication word problems. Break it down into simple, actionable steps.
Step 1: Read Carefully
What is the story about?
- Read the problem more than once.
- Close your eyes and picture what is happening.
- What are the important details?
Focus on the first step: Reading Carefully. Emphasize reading the problem multiple times if needed and picturing it in their minds.
Step 2: Find the Clues
What numbers are important?
What words tell us to multiply?
Look for words like:
- Each
- Groups of
- In all
- Total (when there are equal groups)
- Times
Discuss how to find the important numbers and words that tell us to multiply. Give examples of keywords like 'each,' 'groups of,' 'total of.'
Step 3: Draw a Picture (or Model)
Show what's happening!
- Draw simple circles, squares, or stick figures.
- Group things together.
- This helps you see the problem!
Explain the power of drawing. It helps make abstract problems concrete. Demonstrate a simple drawing if possible.
Step 4: Write the Equation
How do we write it in math language?
- Use the numbers you found.
- Use the multiplication symbol (x).
Example: If there are 3 groups of 4, you write 3 x 4.
Guide them on how to turn the words and pictures into a multiplication sentence. Remind them of the multiplication symbol.
Step 5: Solve It!
Time to find the answer!
- Use your multiplication facts.
- Use repeated addition.
- Use your drawing to count.
Don't forget the UNITS in your answer!
Encourage them to use strategies they know for multiplication (arrays, repeated addition, facts).
Let's Practice Together!
Juan has 4 boxes of crayons. Each box has 8 crayons. How many crayons does Juan have in total?
What are the clues?
What picture can we draw?
What's the equation?
What's the answer?
Introduce a practice problem and prompt students to apply the steps learned. This slide is for a class example before independent work.
Time to Solve More Mysteries!
Remember our steps:
- Read Carefully
- Find the Clues
- Draw a Picture
- Write the Equation
- Solve It!
Good luck, detectives!
Reiterate the steps and encourage them to use the worksheet. Emphasize that it's okay to ask for help.
Script
Mystery Multipliers! Teacher Script
Warm-Up: Math Talk (5 minutes)
"Good morning, everyone! Let's get our brains warmed up for some math fun today. Can someone share one thing they already know or remember about multiplication? Don't worry, there are no wrong answers!"
(Allow 2-3 students to share. Prompt with questions like: "What does multiplication help us do?" or "Can you give an example?")
"Great ideas! We use multiplication for so many things, and today we're going to become detectives and use it to solve some mysteries: word problems!"
Introduction: What's the Mystery? (5 minutes)
"Look at our first slide, Mystery Multipliers!. Doesn't that look exciting? Our goal today is to solve word problems using multiplication. Think of it like this: word problems are like little stories that have a math puzzle hidden inside."
"Our mission today, as Word Problem Detectives, is to uncover those puzzles and solve them!" (Click to next slide: Our Mission: Word Problem Detectives)
"We have a special 5-step plan to help us solve every mystery. Let's look at them:"
- "Step 1: Read Carefully. This means understanding the story."
- "Step 2: Find the Clues. We'll look for important numbers and words."
- "Step 3: Draw a Picture. This helps us see the problem."
- "Step 4: Write the Equation. We'll turn our clues into a math problem."
- "Step 5: Solve It! And then we find the answer!"
"We're going to go through each step carefully, so everyone can become a word problem master!"
Guided Practice: Solving Mysteries Together (15 minutes)
"Let's start with Step 1: Read Carefully. This is so important. When we read a word problem, we need to read it like we're reading a story. Sometimes, reading it twice, or even three times, helps! It's like re-reading a tricky part of a book."
"Now, for Step 2: Find the Clues! Every good detective looks for clues. In math, our clues are the important numbers and words that tell us what to do. What kind of words tell us we need to multiply? Think, pair, share!"
(Wait for responses, guide them to keywords like 'each', 'groups of', 'in total' when referring to equal groups. You can point to the keywords on the slide.)
"Fantastic! These words are our secret signals that multiplication is the key to solving the mystery."
"On to Step 3: Draw a Picture (or Model). This is my favorite part! Sometimes, drawing a simple picture or a model helps us see the problem. You don't need to be an artist; simple shapes are perfect! If the problem is about 3 groups of 4, I might draw 3 circles, and put 4 dots in each circle. It helps my brain 'see' the math."
"Then comes Step 4: Write the Equation. This is where we write down the math problem using the numbers and our multiplication sign, the 'x'. If we drew 3 groups of 4, our equation would be 3 x 4."
"And finally, Step 5: Solve It!. Now we use our multiplication skills to find the answer. You can use your multiplication facts, repeated addition, or even count your drawing! Just remember, your answer needs a unit! Is it crayons? Is it apples? Is it stickers?"
"Okay, detectives, let's try one together! Open your Word Problem Worksheet to the first problem. Let's look at the example problem on our slide: Let's Practice Together!."
"Juan has 4 boxes of crayons. Each box has 8 crayons. How many crayons does Juan have in total?"
"First, Read Carefully. What is this story about? (Juan and his crayons.)"
"Next, Find the Clues. What are the important numbers? (4 and 8). What word tells us to multiply? ( extit{Each})"
"Now, Draw a Picture. On your worksheet, draw 4 boxes, and then draw 8 crayons in each box. You can just draw 8 small lines or circles for the crayons. Take your time."
(Allow time for students to draw, circulate and provide support. For students with autism, ensure they are grasping the visual representation.)
"Great drawings! Now, Write the Equation. Based on our picture and clues, what multiplication equation can we write? (4 x 8)."
"Finally, Solve It! What is 4 times 8? (32). And what are the units? (Crayons). So, Juan has 32 crayons in total!"
"Awesome work, everyone! Now, I want you to work with a partner. You'll continue with the problems on your Word Problem Worksheet. Remember to use our 5 steps. Talk to your partner about how you're solving each mystery. I'll be walking around to help if you get stuck or have questions. Take your time, focus on the steps, and remember your drawings can really help your brain!"
(Circulate, listen to discussions, offer hints, redirect, and provide specific support for students with autism, reinforcing the step-by-step process and visual strategies.)
Independent Practice/Check for Understanding (5 minutes)
"Alright detectives, time for your final challenge! Please choose one or two problems on your worksheet that you haven't solved yet and try to complete them all by yourself. Show all your steps, just like we practiced. This helps me see what awesome detectives you've become!"
"When you're done, please hand in your worksheet. I'll be looking to see how you used our 5 steps. Great job today, everyone! You've done an amazing job being multiplication mystery solvers!"
Worksheet
Word Problem Worksheet: Mystery Multipliers!
Name: _________________________
Date: _________________________
Instructions: Be a Math Detective! Read each problem carefully. Use our 5 steps to solve each mystery. Remember to show your work (drawings, equations, and answers with units!).
Problem 1
Maria has 3 sticker packs. Each pack has 9 stickers. How many stickers does Maria have?
-
Read Carefully: What is the story about?
-
Find the Clues: What are the important numbers and words?
-
Draw a Picture/Model: (Show your drawing here)
-
Write the Equation:
-
Solve It! (Don't forget the units!)
Problem 2
A farmer plants 5 rows of apple trees. There are 6 trees in each row. How many apple trees are there in total?
-
Read Carefully: What is the story about?
-
Find the Clues: What are the important numbers and words?
-
Draw a Picture/Model: (Show your drawing here)
-
Write the Equation:
-
Solve It! (Don't forget the units!)
Problem 3
There are 7 days in one week. You track your steps for 4 weeks. How many days did you track your steps?
-
Read Carefully: What is the story about?
-
Find the Clues: What are the important numbers and words?
-
Draw a Picture/Model: (Show your drawing here)
-
Write the Equation:
-
Solve It! (Don't forget the units!)
Problem 4
A baker makes 6 trays of cookies. Each tray has 10 cookies. How many cookies did the baker make?
-
Read Carefully: What is the story about?
-
Find the Clues: What are the important numbers and words?
-
Draw a Picture/Model: (Show your drawing here)
-
Write the Equation:
-
Solve It! (Don't forget the units!)
Problem 5 (Challenge!)
Sara earns 8 dollars for each hour she babysits. She babysat for 3 hours. How much money did Sara earn?
-
Read Carefully: What is the story about?
-
Find the Clues: What are the important numbers and words?
-
Draw a Picture/Model: (Show your drawing here)
-
Write the Equation:
-
Solve It! (Don't forget the units!)
Answer Key
Word Problem Answer Key: Mystery Multipliers!
This answer key provides the correct solutions and a step-by-step thought process for each problem on the Word Problem Worksheet, following the 5-step detective approach.
Problem 1
Maria has 3 sticker packs. Each pack has 9 stickers. How many stickers does Maria have?
-
Read Carefully: The story is about Maria and her sticker packs, needing to find the total number of stickers.
-
Find the Clues:
- Important numbers: 3 (sticker packs), 9 (stickers in each pack)
- Keywords: "Each", "How many... in total?" (implies multiplication of equal groups)
-
Draw a Picture/Model: (Example: Draw 3 circles for packs, put 9 dots/lines in each circle)
-
Write the Equation: 3 x 9 = ?
-
Solve It! 3 x 9 = 27 stickers. Maria has 27 stickers.
Problem 2
A farmer plants 5 rows of apple trees. There are 6 trees in each row. How many apple trees are there in total?
-
Read Carefully: The story is about a farmer planting apple trees in rows and needing to find the total number of trees.
-
Find the Clues:
- Important numbers: 5 (rows), 6 (trees in each row)
- Keywords: "Each row", "How many... in total?"
-
Draw a Picture/Model: (Example: Draw 5 rows, with 6 small trees/circles in each row)
-
Write the Equation: 5 x 6 = ?
-
Solve It! 5 x 6 = 30 apple trees. The farmer planted 30 apple trees.
Problem 3
There are 7 days in one week. You track your steps for 4 weeks. How many days did you track your steps?
-
Read Carefully: The story is about tracking steps over several weeks and needing to find the total number of days tracked.
-
Find the Clues:
- Important numbers: 7 (days in one week), 4 (weeks)
- Keywords: "days in one week", "for 4 weeks" (implies groups of 7 days)
-
Draw a Picture/Model: (Example: Draw 4 groups, with 7 marks in each group)
-
Write the Equation: 4 x 7 = ?
-
Solve It! 4 x 7 = 28 days. You tracked your steps for 28 days.
Problem 4
A baker makes 6 trays of cookies. Each tray has 10 cookies. How many cookies did the baker make?
-
Read Carefully: The story is about a baker making cookies on trays and needing to find the total number of cookies.
-
Find the Clues:
- Important numbers: 6 (trays), 10 (cookies in each tray)
- Keywords: "Each tray", "How many cookies?"
-
Draw a Picture/Model: (Example: Draw 6 rectangles for trays, put 10 small circles in each)
-
Write the Equation: 6 x 10 = ?
-
Solve It! 6 x 10 = 60 cookies. The baker made 60 cookies.
Problem 5 (Challenge!)
Sara earns 8 dollars for each hour she babysits. She babysat for 3 hours. How much money did Sara earn?
-
Read Carefully: The story is about Sara earning money for babysitting and needing to find her total earnings.
-
Find the Clues:
- Important numbers: 8 (dollars per hour), 3 (hours)
- Keywords: "Each hour", "How much money?"
-
Draw a Picture/Model: (Example: Draw 3 groups, with 8 dollar signs or tallies in each group)
-
Write the Equation: 3 x 8 = ?
-
Solve It! 3 x 8 = 24 dollars. Sara earned 24 dollars.