Lesson Plan
Multiply Like a Math Magician!
Students will be able to accurately multiply multi-digit numbers using the standard algorithm, demonstrating a conceptual understanding of the process and improving their computational fluency.
Mastering multi-digit multiplication is a superpower for tackling real-world problems, from calculating costs to understanding data. This lesson will equip you with the skills to confidently multiply any numbers thrown your way!
Audience
6th Grade Students
Time
30 minutes
Approach
Through direct instruction, guided practice, and independent work.
Materials
Multiply Like a Math Magician! Slides, Multiply Like a Math Magician! Script, Multi-Digit Multiplication Warm-Up, Multi-Digit Multiplication Practice Worksheet, Multi-Digit Multiplication Answer Key, and Multi-Digit Multiplication Cool-Down
Prep
Teacher Preparation
10 minutes
- Review the Multiply Like a Math Magician! Lesson Plan and all linked materials.
- Ensure projector/smartboard is ready for the Multiply Like a Math Magician! Slides.
- Print copies of the Multi-Digit Multiplication Warm-Up, Multi-Digit Multiplication Practice Worksheet, and Multi-Digit Multiplication Cool-Down for each student.
- Have a whiteboard or chart paper and markers ready for demonstration.
Step 1
Warm-Up: The Magic Number Challenge
5 minutes
- Distribute the Multi-Digit Multiplication Warm-Up.
- Instruct students to solve the warm-up problems individually.
- Review answers as a class, discussing different strategies students used (refer to Multiply Like a Math Magician! Script for guidance).
Step 2
Introduction: Unlocking the Power of Big Numbers
5 minutes
- Use Multiply Like a Math Magician! Slides (Slide 1-2) to introduce the lesson and its relevance.
- Engage students with a brief discussion about where they might use multi-digit multiplication in real life.
- Introduce the
Step 3
Guided Practice: The Math Magician's Toolkit - Standard Algorithm
10 minutes
- Present the standard algorithm for multi-digit multiplication using Multiply Like a Math Magician! Slides (Slide 3).
- Model the strategy step-by-step on the board, working through examples together with the class.
- Encourage student participation and questions.
- Provide clear explanations using the Multiply Like a Math Magician! Script.
Step 4
Independent Practice: Casting Your Own Spells
8 minutes
- Distribute the Multi-Digit Multiplication Practice Worksheet.
- Instruct students to work independently on the problems, applying the standard algorithm.
- Circulate around the room to provide individual support and answer questions.
- Remind students they can refer to the strategy discussed.
Step 5
Cool-Down: Reflecting on Your Magic
2 minutes
- Distribute the Multi-Digit Multiplication Cool-Down.
- Ask students to complete the cool-down activity, reflecting on their learning and any challenges.
- Collect cool-downs to assess student understanding and inform future instruction.
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Slide Deck
Welcome, Math Magicians!
Are you ready to unlock the secrets of big numbers?
Today, we're becoming Math Magicians, mastering multi-digit multiplication!
Welcome students and introduce the exciting topic of multi-digit multiplication. Ask them to think about why this skill is important.
Your Multiplication Superpower!
Objective:
- Accurately multiply multi-digit numbers.
- Understand the standard algorithm to solve problems.
- Gain confidence in tackling bigger numbers!
Explain the objective of the lesson in student-friendly terms. Emphasize the 'superpower' aspect of this skill.
The Standard Algorithm: Your Magic Formula!
It's like building with numbers!
Let's try an example:
23 x 14 = ?
- Multiply by the ones digit.
- Place a zero placeholder.
- Multiply by the tens digit.
- Add your partial products.
Introduce the standard algorithm. Walk through an example step-by-step, explaining each part of the process clearly.
Time to Cast Your Own Spells!
Independent Practice:
Work on the Multi-Digit Multiplication Practice Worksheet.
- Use the Standard Algorithm.
- Show your work!
- Ask questions if you get stuck.
You've got this!
Explain the independent practice. Encourage students to apply the standard algorithm and to ask for help if needed.
Reflecting on Your Magic!
How did the Standard Algorithm help you today?
- Complete the Multi-Digit Multiplication Cool-Down.
- Think about what you learned and what you still want to practice.
Great job, Math Magicians!
Prompt students for the cool-down. Reinforce the idea that they are becoming confident with multi-digit multiplication using the standard algorithm.
Script
Multiply Like a Math Magician! Script
Warm-Up: The Magic Number Challenge (5 minutes)
Teacher: "Good morning, future Math Magicians! To get our brains warmed up and ready for some serious number magic, we're going to start with a quick 'Magic Number Challenge.' I'm handing out a Multi-Digit Multiplication Warm-Up now. Please work silently and independently to solve these problems. Think about any strategies you already know. You have about 5 minutes. Go!"
(Circulate the room, observing student work and providing quiet encouragement.)
Teacher: "Alright, pencils down! Let's go over these. Who would like to share their answer and how they solved problem number one?"
(Call on a student, encourage discussion of different approaches if applicable. Repeat for other problems.)
Teacher: "Excellent job, everyone! It's great to see all the different ways you approach these problems. Today, we're going to focus on one powerful tool in your math magician's toolkit: the Standard Algorithm!"
Introduction: Unlocking the Power of Big Numbers (5 minutes)
Teacher: (Display Multiply Like a Math Magician! Slides - Slide 1: "Welcome, Math Magicians!")
Teacher: "Welcome, Math Magicians! Have you ever wondered how people calculate really big numbers quickly? Like, how many total seats are in a stadium with 35 rows and 21 sections, each holding 50 seats? Or how much a whole school trip for 120 students would cost if each ticket is $15? This isn't just about passing a math test; it's about gaining a real-world superpower!"
(Display Multiply Like a Math Magician! Slides - Slide 2: "Your Multiplication Superpower!")
Teacher: "Today, we're going to become masters of multi-digit multiplication using the Standard Algorithm. Our goal is to be able to accurately multiply multi-digit numbers, truly understand what's happening when we multiply, and feel super confident tackling any big numbers that come our way!"
Guided Practice: The Math Magician's Toolkit - Standard Algorithm (10 minutes)
Teacher: "Let's dive into our Math Magician's toolkit. We're going to learn one powerful 'spell' for multi-digit multiplication: the Standard Algorithm. This is probably the one you've seen the most. Think of it like building with numbers, one step at a time.
(Display Multiply Like a Math Magician! Slides - Slide 3: "The Standard Algorithm: Your Magic Formula!")
Teacher: "Let's try an example together: 23 x 14.
- First, we multiply by the ones digit. So, 4 times 3 is 12. Write down the 2, carry the 1.
- Then, 4 times 2 (which is really 20) is 80, plus the 1 we carried makes 90. So we write down 9. Our first 'partial product' is 92.
- Next, we move to the tens digit. This is super important: we need a zero placeholder! Since we're multiplying by 10 (the 1 in 14), our answer will start in the tens place.
- Now, 1 (tens) times 3 is 3 (tens). Write it under the 9.
- And 1 (tens) times 2 (tens) is 2 (hundreds). Write it down. Our second partial product is 230.
- Finally, we add our partial products: 92 + 230. What do we get? 322!"
(Work through this on the board, clearly showing each step and aligning numbers.)
Teacher: "Any questions about the standard algorithm? It's a classic for a reason! It's your magic formula for solving big multiplication problems."
Independent Practice: Casting Your Own Spells (8 minutes)
Teacher: (Display Multiply Like a Math Magician! Slides - Slide 4: "Time to Cast Your Own Spells!")
Teacher: "Now it's your turn to practice your magic! I'm handing out the Multi-Digit Multiplication Practice Worksheet. For each problem, you will use the Standard Algorithm to solve it. Show your work clearly so I can see your magical thinking! If you get stuck, re-check your steps or raise your hand and I'll come assist you. You have about 8 minutes for this. Get to it, Math Magicians!"
(Circulate, provide individual support, check for understanding, and prompt students to articulate their chosen strategy.)
Cool-Down: Reflecting on Your Magic (2 minutes)
Teacher: (Display Multiply Like a Math Magician! Slides - Slide 5: "Reflecting on Your Magic!")
Teacher: "Alright, bring your attention back up here for our cool-down! Before you go, I want you to complete this quick Multi-Digit Multiplication Cool-Down. Think about what you learned today, how the Standard Algorithm helped you, and if there's anything you still have questions about."
(Collect the cool-downs as students finish.)
Teacher: "Fantastic work today, Math Magicians! You've taken a big step in mastering multi-digit multiplication using the Standard Algorithm. Keep practicing, and your number magic will only grow stronger!"
Warm Up
Multi-Digit Multiplication Warm-Up
Instructions: Solve the following multiplication problems. Show your work!
-
25 x 3 = ?
-
18 x 10 = ?
-
What does it mean to multiply? Describe it in your own words.
Worksheet
Multi-Digit Multiplication Practice Worksheet
Instructions: Solve the following multi-digit multiplication problems. You will use the Standard Algorithm. Show all your work!
-
34 x 12 = ?
-
56 x 23 = ?
-
71 x 45 = ?
-
105 x 18 = ?
-
213 x 32 = ?
-
Challenge Problem: A baker sells 135 cookies every day. How many cookies does the baker sell in 28 days?
Answer Key
Multi-Digit Multiplication Answer Key
Warm-Up: The Magic Number Challenge - Answer Key
-
25 x 3 = 75
Thought Process: Multiply 3 by 5 to get 15 (write 5, carry 1). Multiply 3 by 20 to get 60, add the carried 10 to get 70. Combine 70 + 5 = 75. -
18 x 10 = 180
Thought Process: When multiplying by 10, simply add a zero to the end of the number. 18 becomes 180. -
What does it mean to multiply? Describe it in your own words.
Sample Answer: To multiply means to add a number to itself a certain number of times. It's a quick way to find the total when you have equal groups.
Multi-Digit Multiplication Practice Worksheet - Answer Key
-
34 x 12 = 408
*Standard Algorithm:
34
x 1268 (2 x 34)
340 (10 x 34)408*
-
56 x 23 = 1288
*Standard Algorithm:
56
x 23168 (3 x 56)
1120 (20 x 56)1288*
-
71 x 45 = 3195
*Standard Algorithm:
71
x 45355 (5 x 71)
2840 (40 x 71)3195*
-
105 x 18 = 1890
*Standard Algorithm:
105
x 18840 (8 x 105)
1050 (10 x 105)1890*
-
213 x 32 = 6816
*Standard Algorithm:
213
x 32426 (2 x 213)
6390 (30 x 213)6816*
-
Challenge Problem: A baker sells 135 cookies every day. How many cookies does the baker sell in 28 days?
135 x 28 = 3780 cookies
*Standard Algorithm:
135
x 281080 (8 x 135)
2700 (20 x 135)3780*
Cool Down
Multi-Digit Multiplication Cool-Down
Instructions: Please answer the following questions to help me understand your learning today.
-
How did using the Standard Algorithm help you solve multi-digit multiplication problems today?
-
Solve the following problem using the Standard Algorithm. Show your work!
45 x 16 = ?
-
What is one question you still have about multi-digit multiplication, or one thing you want to practice more?