Lesson Plan
Multiply Like a Boss!
Students will be able to confidently apply various multiplication strategies to solve problems involving multi-digit numbers.
Mastering multiplication is a fundamental skill that forms the bedrock for advanced mathematical concepts like algebra, fractions, and geometry. It's also essential for everyday tasks, from calculating costs to understanding data.
Audience
6th Grade Students
Time
30 minutes
Approach
Through direct instruction, guided practice, and independent application.
Materials
Whiteboard or projector, Markers or pens, Multiplication Strategies Slide Deck, Multiplication Mastery Worksheet, and Multiplication Mastery Answer Key
Prep
Teacher Preparation
10 minutes
- Review the Multiplication Strategies Slide Deck to familiarize yourself with the content.
- Print enough copies of the Multiplication Mastery Worksheet for each student.
- Have the Multiplication Mastery Answer Key readily available for quick checking.
- Ensure your projector/whiteboard is set up and ready to display the slide deck.
Step 1
Warm-Up: The Daily Product
5 minutes
- Begin with a quick warm-up. Ask students to solve a simple multiplication problem mentally or on a mini-whiteboard.
2. Facilitate a brief discussion on how they arrived at their answer.
Step 2
Introduction: Why Multiply Anyway?
5 minutes
- Use the Multiplication Strategies Slide Deck to introduce the lesson objective and discuss the relevance of multiplication in real life.
2. Pose a question to the class: "When have you used multiplication outside of school?" Allow a few students to share.
Step 3
Direct Instruction: Strategy Showcase
10 minutes
- Go through the Multiplication Strategies Slide Deck, explaining different multiplication strategies (e.g., standard algorithm, area model, partial products).
2. Demonstrate each strategy with a clear example on the board.
3. Encourage students to ask questions and share their preferred methods.
Step 4
Guided Practice: Try It Together
5 minutes
- Present 1-2 practice problems from the Multiplication Mastery Worksheet on the board.
2. Work through the problems together as a class, guiding students to apply the strategies learned.
3. Provide immediate feedback and address any misconceptions.
Step 5
Independent Practice: Your Turn to Shine
3 minutes
- Distribute the Multiplication Mastery Worksheet.
2. Instruct students to work independently on the first few problems using the strategies discussed.
3. Circulate the room, offering support and answering individual questions.
Step 6
Cool-Down: One-Minute Multiplier
2 minutes
- For a cool-down, ask students to write down one multiplication strategy they learned or reviewed today and one thing they still find challenging.
2. Collect these as an exit ticket.
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Slide Deck
Multiply Like a Boss!
Unlocking Multiplication Superpowers!
Why is multiplication important?
- Everyday life (shopping, cooking)
- Future math (algebra, fractions)
- Problem-solving skills
Our Goal Today: Become confident in using various multiplication strategies!
Welcome class! Today we're going to become multiplication maestros. This lesson is all about equipping you with powerful tools to conquer any multiplication problem. We'll explore different strategies that will not only help you solve problems accurately but also understand the 'why' behind the math. Mastering multiplication isn't just for tests; it's a superpower for real life!
Strategy 1: The Standard Algorithm
How it works:
- Multiply the bottom digit by each top digit, starting from the right.
- Carry over when necessary.
- Shift over one place value for each new digit in the bottom number.
- Add your partial products.
Example:
23
x 4
----
92
Let's dive into our first strategy: the classic Standard Algorithm. Many of you might already be familiar with this method. It's systematic and efficient, especially for larger numbers. I'll walk you through an example, step-by-step. Pay close attention to how we carry over numbers and keep our columns aligned. This method breaks down multiplication into smaller, manageable parts.
Strategy 2: The Area Model
How it works:
- Break down numbers by place value.
- Draw a grid based on the number of place values.
- Multiply numbers in each cell.
- Add all the products together.
Example: 12 x 13
| x | 10 | 2 |
|---|---|---|
| 10 | 100 | 20 |
| 3 | 30 | 6 |
100 + 20 + 30 + 6 = 156
Next up is the Area Model, a fantastic visual approach. Think of multiplication as finding the area of a rectangle. We break down the numbers into their expanded form and create a grid. Then, we multiply each part and add up all the smaller products. This method helps us see how each place value contributes to the final answer and is great for understanding distributive property.
Strategy 3: Partial Products
How it works:
- Multiply each digit of the bottom number by each digit of the top number.
- Write down each individual product, paying attention to place value.
- Add all the partial products.
Example: 23 x 4
23
x 4
----
12 (4 x 3)
+ 80 (4 x 20)
----
92
Our third strategy is Partial Products, which is closely related to the area model but laid out a bit differently. Here, we multiply each part of one number by each part of the other number, and we write down each 'partial' product. Then, we add them all up. This method reinforces the concept of place value and can be very intuitive. Let's work through an example together.
Guided Practice: Let's Do This!
Problem: 34 x 5
Choose a strategy or try them all!
- Standard Algorithm
- Area Model
- Partial Products
(Teacher will lead the class through solving this problem using various strategies.)
Now it's time to put your brains to work! We're going to try a problem together. Let's use 34 x 5. Who would like to guide us through using the Standard Algorithm first? What about the Area Model? And finally, the Partial Products method? Remember, the goal is to understand how these methods work and find what feels best for you.
You're a Multiplication Boss!
Key Takeaways:
- Multiple strategies lead to the same correct answer.
- Choose the method that makes the most sense to you.
- Practice makes perfect!
(Get ready for your Multiplication Mastery Worksheet!)
Great job, multipliers! You've explored three powerful ways to tackle multiplication. Remember, having multiple strategies in your toolbox makes you a more flexible and confident mathematician. Don't worry if one method feels trickier than another right now; practice makes perfect! Your Multiplication Mastery Worksheet will give you a chance to practice all these skills. Keep up the awesome work!
Worksheet
Multiplication Mastery Worksheet
Name: ________________________
Date: ________________________
Practice your multiplication skills using the strategies we discussed!
Part 1: Standard Algorithm
Solve the following problems using the standard algorithm.
-
37 x 6
-
54 x 8
Part 2: Area Model
Solve the following problems using the area model.
-
21 x 14
-
35 x 12
Part 3: Partial Products
Solve the following problems using the partial products method.
-
48 x 7
-
63 x 5
Challenge Problem (Choose any strategy!)
123 x 9
Answer Key
Multiplication Mastery Answer Key
Part 1: Standard Algorithm
1. 37 x 6
37
x 6
----
222
Step-by-step:
- First, multiply 6 by 7 (the ones digit):
6 * 7 = 42. Write down2in the ones place and carry over4to the tens place. - Next, multiply 6 by 3 (the tens digit):
6 * 3 = 18. Add the carried over4:18 + 4 = 22. Write down22. - The product is 222.
2. 54 x 8
54
x 8
----
432
Step-by-step:
- First, multiply 8 by 4 (the ones digit):
8 * 4 = 32. Write down2in the ones place and carry over3to the tens place. - Next, multiply 8 by 5 (the tens digit):
8 * 5 = 40. Add the carried over3:40 + 3 = 43. Write down43. - The product is 432.
Part 2: Area Model
3. 21 x 14
Break down 21 into 20 + 1 and 14 into 10 + 4.
| x | 20 | 1 |
|---|---|---|
| 10 | 200 | 10 |
| 4 | 80 | 4 |
Add the partial products:
200 + 10 + 80 + 4 = 294
Step-by-step:
- Draw a 2x2 grid.
- Label the top with 20 and 1. Label the side with 10 and 4.
- Multiply
10 * 20 = 200 - Multiply
10 * 1 = 10 - Multiply
4 * 20 = 80 - Multiply
4 * 1 = 4 - Add all the results:
200 + 10 + 80 + 4 = 294.
4. 35 x 12
Break down 35 into 30 + 5 and 12 into 10 + 2.
| x | 30 | 5 |
|---|---|---|
| 10 | 300 | 50 |
| 2 | 60 | 10 |
Add the partial products:
300 + 50 + 60 + 10 = 420
Step-by-step:
- Draw a 2x2 grid.
- Label the top with 30 and 5. Label the side with 10 and 2.
- Multiply
10 * 30 = 300 - Multiply
10 * 5 = 50 - Multiply
2 * 30 = 60 - Multiply
2 * 5 = 10 - Add all the results:
300 + 50 + 60 + 10 = 420.
Part 3: Partial Products
5. 48 x 7
48
x 7
----
56 (7 x 8)
+ 280 (7 x 40)
-----
336
Step-by-step:
- Multiply 7 by 8 (the ones digit of 48):
7 * 8 = 56. - Multiply 7 by 40 (the tens digit of 48):
7 * 40 = 280. - Add the partial products:
56 + 280 = 336.
6. 63 x 5
63
x 5
----
15 (5 x 3)
+ 300 (5 x 60)
-----
315
Step-by-step:
- Multiply 5 by 3 (the ones digit of 63):
5 * 3 = 15. - Multiply 5 by 60 (the tens digit of 63):
5 * 60 = 300. - Add the partial products:
15 + 300 = 315.
Challenge Problem
7. 123 x 9
Using Standard Algorithm:
123
x 9
-----
1107
Step-by-step (Standard Algorithm):
- Multiply 9 by 3 (ones digit):
9 * 3 = 27. Write7, carry2. - Multiply 9 by 2 (tens digit):
9 * 2 = 18. Add carried2:18 + 2 = 20. Write0, carry2. - Multiply 9 by 1 (hundreds digit):
9 * 1 = 9. Add carried2:9 + 2 = 11. Write11. - The product is 1107.
Using Partial Products:
123
x 9
-----
27 (9 x 3)
180 (9 x 20)
+ 900 (9 x 100)
-----
1107
Step-by-step (Partial Products):
- Multiply 9 by 3:
9 * 3 = 27. - Multiply 9 by 20:
9 * 20 = 180. - Multiply 9 by 100:
9 * 100 = 900. - Add all partial products:
27 + 180 + 900 = 1107.