lenny

Multiply & Conquer!

user image

Lesson Plan

Multiply & Conquer!

Students will be able to solve multiplication word problems involving 2-digit numbers by identifying key information and applying appropriate multiplication strategies.

This lesson is crucial for developing strong problem-solving skills, connecting math to real-world scenarios, and preparing students for more complex mathematical concepts.

Audience

4th Grade Students

Time

30 minutes

Approach

Through guided practice and independent application, students will learn a step-by-step approach.

Prep

Teacher Preparation

10 minutes

Step 1

Warm-Up: Ready to Roll?

5 minutes

Step 2

Introduction: What's the Problem?

5 minutes

  • Use the Multiply & Conquer! Slide Deck (Slide 1-2) to introduce the lesson objective and discuss why word problems are important in real life.
  • Engage students with a brief discussion about where they might encounter multiplication in their daily lives. (Refer to Script: Multiply & Conquer!)

Step 3

Guided Practice: Step-by-Step Solving

10 minutes

  • Display Multiply & Conquer! Slide Deck (Slides 3-5).
  • Walk through an example multiplication word problem with 2-digit numbers, modeling the 4-step problem-solving process (Understand, Plan, Solve, Check).
  • Work through a second example with student input, guiding them to identify key information and apply multiplication strategies. (Refer to Script: Multiply & Conquer!)

Step 4

Independent Practice: Two-Digit Triumph

8 minutes

Step 5

Cool Down: Problem Solved!

2 minutes

lenny
0 educators
use Lenny to create lessons.

No credit card needed

Slide Deck

Multiply & Conquer!

Solving 2-Digit Multiplication Word Problems

Are you ready to become a multiplication master?

Welcome students and get them ready for a fun lesson on multiplication word problems. Emphasize that math is all around us!

Why Do We Need This?

  • Real-Life Math: Math isn't just in textbooks! It helps us with shopping, planning, and so much more.
  • Sharpen Your Brain: Word problems challenge you to think critically and apply what you know.
  • Everyday Heroes: Imagine calculating how many cookies for a bake sale or how many pages you'll read in a month!

Explain why learning word problems is important. Give a few simple real-world examples that resonate with 4th graders.

Our Secret Strategy: UPS-Check!

1. Understand: What is the problem asking? What information do I have?
2. Plan: How will I solve it? What operation should I use? (Hint: Multiplication!)
3. Solve: Do the math! Show your work clearly.
4. Check: Does my answer make sense? Did I answer the question?

Introduce the 4-step problem-solving strategy. Explain each step simply. This will be the framework for solving problems.

Example 1: Let's Do One Together!

A baker makes 12 batches of cupcakes. Each batch has 24 cupcakes. How many cupcakes did the baker make in total?

Understand: Total cupcakes made.
Plan: 12 batches * 24 cupcakes/batch
Solve: 12 x 24 = ? (Model area model or standard algorithm)
Check: Is the answer reasonable?

Walk through the first example problem step-by-step using the UPS-Check strategy. Model thinking out loud.

Example 2: Your Turn To Help!

A classroom has 15 rows of desks. Each row has 18 desks. How many desks are there in the classroom altogether?

Understand: What are we looking for?
Plan: What math should we do?
Solve: Let's calculate it!
Check: Does our answer make sense?

Engage students in solving the second example. Ask guiding questions for each step of UPS-Check. Encourage participation.

lenny

Warm Up

Warm-Up: Ready to Roll?

Directions: Solve the following multiplication problems. Show your work.

  1. 5 x 7 =


  2. 8 x 9 =


  3. 3 x 10 =


  4. 6 x 12 =


  5. If one box holds 15 crayons, how many crayons are in 3 boxes?






lenny
lenny

Script

Script: Multiply & Conquer!

Warm-Up: Ready to Roll? (5 minutes)

Teacher: "Good morning, mathematicians! Let's get our brains warmed up with a quick activity. Please take out your Warm-Up: Ready to Roll? worksheet. You have about 3 minutes to complete it quietly on your own. When you're done, please put your pencil down so I know you're ready."

(Allow students to work. Circulate and observe.)

Teacher: "Alright, pencils down! Let's quickly go over these. Who can share their answer for number 1? (Call on student) Great! How about number 5? (Call on student) What strategy did you use for that word problem? (Discuss briefly.) Excellent work, everyone! You're already showing some strong multiplication skills."

Introduction: What's the Problem? (5 minutes)

(Display Multiply & Conquer! Slide Deck - Slide 1)

Teacher: "Today, we are going to become master problem-solvers! Our lesson is called 'Multiply & Conquer!' and by the end of it, you'll be pros at solving multiplication word problems with 2-digit numbers."

(Display Multiply & Conquer! Slide Deck - Slide 2)

Teacher: "Before we dive in, let's talk about why this is important. Why do you think we learn about word problems? Where do you use multiplication in your everyday life? Think about things you buy, games you play, or even chores you do!"

(Allow 1-2 minutes for student sharing. Guide them to connect multiplication to real-world scenarios like buying multiple items, counting groups, etc.)

Teacher: "Exactly! Multiplication is everywhere. It helps us calculate how many pieces of candy we need for 25 classmates if everyone gets 3, or how many pages we'll read in 14 days if we read 10 pages each day. Learning to solve these problems helps us in so many ways!"

Guided Practice: Step-by-Step Solving (10 minutes)

(Display Multiply & Conquer! Slide Deck - Slide 3)

Teacher: "To conquer these problems, we're going to use a special strategy I like to call 'UPS-Check'. It stands for Understand, Plan, Solve, and Check. Let's break it down:

  • Understand: What is the problem asking? What information is given?
  • Plan: How will you solve it? What operation? Today, it's always multiplication!
  • Solve: Do the math! Show your work.
  • Check: Does your answer make sense? Did you answer the question?"

(Display Multiply & Conquer! Slide Deck - Slide 4)

Teacher: "Let's try one together. Read the problem with me: 'A baker makes 12 batches of cupcakes. Each batch has 24 cupcakes. How many cupcakes did the baker make in total?'

Teacher: "First, Understand. What is this problem asking us to find? (Wait for responses, 'total cupcakes'). Yes, the total number of cupcakes the baker made. What information are we given? (Wait for responses, '12 batches, 24 cupcakes per batch'). Perfect!

Teacher: "Next, Plan. How should we solve this? What operation should we use? (Wait for 'multiplication'). That's right, 12 batches times 24 cupcakes per batch. So, 12 x 24.

Teacher: "Now, Solve. I'll show my work on the board using the area model, or standard algorithm. (Model the multiplication clearly on the board, explaining each step.) So, 12 x 24 equals 288.

Teacher: "Finally, Check. Does 288 cupcakes make sense? If a baker makes 12 batches and each has more than 20, 288 sounds reasonable. Did we answer the question? Yes, the total number of cupcakes. Great!

(Display Multiply & Conquer! Slide Deck - Slide 5)

Teacher: "Now, let's try another one, and I want your help with each step! Read this problem aloud with me: 'A classroom has 15 rows of desks. Each row has 18 desks. How many desks are there in the classroom altogether?'

Teacher: "Okay, first step, Understand. What is the problem asking us to find? (Call on student) And what information do we know? (Call on student) Excellent!

Teacher: "Next, Plan. How will we set up our multiplication problem? (Call on student) That's it, 15 multiplied by 18.

Teacher: "Now for Solve. Let's all work this out together. You can use your whiteboards, or just watch as I model it. (Guide students to help solve 15 x 18 on the board, encouraging them to explain steps.) What do we get? (Wait for '270'). Fantastic!

Teacher: "Last step, Check. Does 270 desks sound like a reasonable number for a classroom? (Call on student) Why or why not? (Discuss briefly.) Did we answer the question? Yes, we found the total number of desks. You're doing great!

Independent Practice: Two-Digit Triumph (8 minutes)

Teacher: "You've learned our UPS-Check strategy, and you've practiced with me. Now it's your turn to shine independently! I'm handing out the Worksheet: Two-Digit Triumph. I want you to use the UPS-Check strategy for each problem. Take your time, show your work, and don't forget that last 'Check' step! I'll be walking around to help if you get stuck."

(Distribute worksheets. Circulate, provide individualized support, and remind students to use the steps. Ensure they are showing their work.)

Cool Down: Problem Solved! (2 minutes)

Teacher: "Alright everyone, two minutes left! Please put your Worksheet: Two-Digit Triumph aside. Now, I have a quick exit ticket for you called Cool Down: Problem Solved!. Please answer the question on it honestly. It helps me understand what you learned today and what we might need to review."

(Distribute cool-downs. Collect them as students finish or as they leave.)

Teacher: "Great job today, everyone! You all did a fantastic job tackling those multiplication word problems. Keep practicing, and you'll be multiplication masters in no time!"

lenny
lenny

Worksheet

Worksheet: Two-Digit Triumph

Directions: Solve each word problem using the UPS-Check strategy (Understand, Plan, Solve, Check). Show all your work!


Problem 1

There are 25 students in each class at Elmwood Elementary. If there are 14 classes, how many students are there in total at Elmwood Elementary?

1. Understand:


2. Plan:


3. Solve:










4. Check:



Problem 2

A theater has 18 rows of seats. Each row has 32 seats. How many seats are there in the entire theater?

1. Understand:


2. Plan:


3. Solve:










4. Check:



Problem 3

Sarah reads 16 pages of her book every day for 21 days. How many pages did she read altogether?

1. Understand:


2. Plan:


3. Solve:










4. Check:


lenny
lenny

Answer Key

Answer Key: Two-Digit Triumph

Problem 1: There are 25 students in each class at Elmwood Elementary. If there are 14 classes, how many students are there in total at Elmwood Elementary?

1. Understand: The problem asks for the total number of students at Elmwood Elementary. We know there are 25 students per class and 14 classes.

2. Plan: To find the total, we need to multiply the number of students per class by the number of classes: 25 x 14.

3. Solve:

  25
x 14
-----
 100  (4 x 25)
+250  (10 x 25)
-----
 350

The baker made 350 cupcakes.

4. Check:

  • Estimation: 20 x 10 = 200, 30 x 10 = 300, 20 x 20 = 400. 350 is a reasonable answer between 200 and 400.
  • The answer addresses the question: the total number of students.

Answer: There are 350 students in total at Elmwood Elementary.


Problem 2: A theater has 18 rows of seats. Each row has 32 seats. How many seats are there in the entire theater?

1. Understand: The problem asks for the total number of seats in the theater. We know there are 18 rows and 32 seats per row.

2. Plan: To find the total, we need to multiply the number of rows by the number of seats per row: 18 x 32.

3. Solve:

  32
x 18
-----
 256  (8 x 32)
+320  (10 x 32)
-----
 576

The theater has 576 seats.

4. Check:

  • Estimation: 20 x 30 = 600. 576 is close to 600, so it is a reasonable answer.
  • The answer addresses the question: the total number of seats.

Answer: There are 576 seats in the entire theater.


Problem 3: Sarah reads 16 pages of her book every day for 21 days. How many pages did she read altogether?

1. Understand: The problem asks for the total number of pages Sarah read. We know she reads 16 pages per day for 21 days.

2. Plan: To find the total, we need to multiply the number of pages read per day by the number of days: 16 x 21.

3. Solve:

  16
x 21
-----
  16  (1 x 16)
+320  (20 x 16)
-----
 336

Sarah read 336 pages altogether.

4. Check:

  • Estimation: 20 x 20 = 400, 15 x 20 = 300. 336 is a reasonable answer between 300 and 400.
  • The answer addresses the question: the total number of pages read.

Answer: Sarah read 336 pages altogether.

lenny
lenny

Cool Down

Cool Down: Problem Solved!

Directions: Please answer the following question honestly.

  1. What was one new thing you learned or a strategy you found helpful today for solving multiplication word problems?






  2. What is one question you still have about multiplication word problems, or what is something you'd like to practice more?






lenny
lenny
Multiply & Conquer! • Lenny Learning