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Double Down on 6s!

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Lesson Plan

Double Down on 6s!

Students will be able to solve 6s multiplication facts by doubling the product of corresponding 3s facts and extend this strategy to solve two-digit by one-digit multiplication problems using partial products.

This lesson helps students build on their existing knowledge of 3s multiplication to efficiently solve 6s facts, promoting a deeper understanding of multiplication properties and building confidence in math, including for larger numbers.

Audience

4th Grade Students

Time

30 minutes

Approach

Direct instruction, guided practice, and independent application.

Prep

Teacher Preparation

10 minutes

Step 1

Warm-Up: 3s Tables Review

5 minutes

  • Begin by asking students to quickly recite or answer a few 3s multiplication facts.
    - Use Slide 2 of the Double Down on 6s Slide Deck to review 3s facts.
    - Ask: "What strategies do you use to remember your 3s multiplication facts?"

Step 2

Introduction to Doubling Strategy

7 minutes

  • Introduce the concept of doubling the 3s product to find the 6s product using Slide 3 and Slide 4 of the Double Down on 6s Slide Deck.
    - Explain that 6 is double 3, so any 6s fact is simply double the corresponding 3s fact.
    - Model a few examples, such as 3 x 4 = 12, so 6 x 4 = 12 + 12 = 24. Use Slide 5 to guide this modeling.

Step 3

Guided Practice

4 minutes

  • Work through several examples together as a class using Slide 6 and Slide 7 of the Double Down on 6s Slide Deck.
    - Have students share their thought processes.
    - Encourage students to explain why this strategy works.

Step 4

Extending the Strategy: Partial Products

6 minutes

  • Introduce how the doubling strategy can be applied to two-digit by one-digit multiplication using partial products, using Slide 8 and Slide 9 of the Double Down on 6s Slide Deck.
    - Model the examples 23 x 6 and 41 x 6, breaking them down into partial products and applying the doubling strategy to each part.
    - Emphasize the connection between 3s and 6s facts in both parts of the partial product.

Step 5

Independent Practice: Worksheet

6 minutes

  • Distribute the 6s Practice Worksheet.
    - Instruct students to complete the worksheet individually, using the doubling strategy.
    - Circulate around the room to provide support and answer questions.

Step 6

Wrap-Up & Share

2 minutes

  • Bring the class back together.
    - Ask students to share one 6s fact they solved using the doubling strategy, or how they used it for a larger number.
    - Briefly review the main concept: "How does knowing your 3s help you with your 6s, even with bigger numbers?"
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Slide Deck

Double Down on 6s!

Using your 3s facts to master the 6s!

Welcome students to class! Introduce the exciting challenge of mastering 6s facts today by building on what they already know. Get them engaged and ready to learn a cool new strategy!

Let's Warm Up with Our 3s!

What is 3 x 4?

What is 3 x 7?

What is 3 x 9?

What is 3 x 5?

Great job, mathematicians!

Ask students to verbally answer a few 3s multiplication facts, or write them on their mini-whiteboards. Encourage quick recall. Ask: "What strategies do you use to remember your 3s multiplication facts?"

The Secret: 6 is Double 3!

If you know 3 x something...
You can DOUBLE that answer to find 6 x something!

Think about it: 6 is just 3 + 3, or 2 x 3!

Introduce the idea that 6 is double 3. Ask students if they see a connection between the numbers. This sets the stage for the doubling strategy. "Today, we're going to unlock a secret trick to solve 6s facts using our amazing 3s knowledge!"

How Does it Work?

Take 3 x 5 = 15

To find 6 x 5, you can think of it as (3 x 5) + (3 x 5).

So, 15 + 15 = 30!

Therefore, 6 x 5 = 30!

Use this slide to visually demonstrate the concept. Emphasize that because 6 is twice 3, the product of a 6s fact will be twice the product of the corresponding 3s fact. Use simple terms and hand gestures to illustrate 'doubling'.

Let's Try One Together!

What is 6 x 7?

  1. What is 3 x 7?


  2. Double that product!


  3. So, 6 x 7 = _____

Model one or two examples clearly. Walk through the steps: 1. Find the 3s fact. 2. Find its product. 3. Double the product. Ask students to predict the next step or the final answer as you go.

Guided Practice: Your Turn!

Solve these using our doubling strategy:

  • 6 x 4 = ?
    • (Hint: Start with 3 x 4)
  • 6 x 9 = ?
    • (Hint: Start with 3 x 9)
  • 6 x 2 = ?
    • (Hint: Start with 3 x 2)

Guide students through these examples. Encourage them to explain their thinking to a partner or the class. Ask questions like, "Why did you choose to double that number?" or "What if we didn't know 3 x 8? How could we figure that out?"

More Doubling Fun!

Let's do a couple more:

  • 6 x 8 = ?
    • (Hint: Start with 3 x 8)
  • 6 x 6 = ?
    • (Hint: Start with 3 x 6)

Great work, everyone!

Continue with more guided practice. This reinforces the strategy and builds confidence before independent work. You can have students write answers on whiteboards or call on different students for each step.

6s to the Rescue: Partial Products!

Our doubling strategy isn't just for small numbers! We can use it for bigger multiplication problems too, using partial products!

Let's try 23 x 6

  1. Break apart 23: 20 + 3
  2. Multiply each part by 6:
    • 20 x 6 = ? (Think: 20 x 3 = 60, then double it! 60 + 60 = 120)
    • 3 x 6 = ? (Think: 3 x 3 = 9, then double it! 9 + 9 = 18)
  3. Add the partial products: 120 + 18 = 138

So, 23 x 6 = 138!

Explain to students that the doubling strategy can be powerful even for larger numbers when combined with the partial products method. Walk them through the example 23 x 6 step-by-step, emphasizing how knowing their 3s facts helps with both parts of the multiplication. Encourage them to see the connection and understand the flexibility of the strategy.

Another Partial Products Challenge!

Let's try another one: 41 x 6

  1. Break apart 41: 40 + 1
  2. Multiply each part by 6:
    • 40 x 6 = ? (Think: 40 x 3 = 120, then double it! 120 + 120 = 240)
    • 1 x 6 = ? (Think: 1 x 3 = 3, then double it! 3 + 3 = 6)
  3. Add the partial products: 240 + 6 = 246

So, 41 x 6 = 246!

Present another example for partial products. Guide students through it, or have them work with a partner to solve it, explaining their steps. Encourage them to articulate how the doubling strategy for 6s facts is used within the partial product method.

Time to Practice!

Now it's your turn to be a multiplication master!

Complete the 6s Practice Worksheet using the doubling strategy we learned today.

Good luck!

Explain that it's time for independent practice. Hand out the worksheet and remind students to use the strategy we just learned. Circulate to offer support.

You're a 6s Star!

You now have a powerful strategy to solve your 6s multiplication facts!

Remember: Know your 3s, then just DOUBLE it to find your 6s!

Keep practicing!

Conclude the lesson by reviewing the strategy and encouraging students to use it. Ask a few students to share their answers from the worksheet or just one fact they found easy to solve with the new strategy. Reiterate the main takeaway.

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Worksheet

6s Practice Worksheet

Instructions: Use your 3s multiplication facts and the doubling strategy to solve the following 6s facts. Show your work by first writing the 3s fact and then doubling the product.


Example:

6 x 4 = ?

  • First, find 3 x 4 = 12
  • Then, double the product: 12 + 12 = 24
  • So, 6 x 4 = 24!

  1. 6 x 3 = ?

    • 3 x 3 =


    • Double the product:



    • So, 6 x 3 =


  2. 6 x 5 = ?

    • 3 x 5 =


    • Double the product:



    • So, 6 x 5 =


  3. 6 x 7 = ?

    • 3 x 7 =


    • Double the product:



    • So, 6 x 7 =


  4. 6 x 2 = ?

    • 3 x 2 =


    • Double the product:



    • So, 6 x 2 =


  5. 6 x 9 = ?

    • 3 x 9 =


    • Double the product:



    • So, 6 x 9 =


  6. 6 x 8 = ?

    • 3 x 8 =


    • Double the product:



    • So, 6 x 8 =


  7. 6 x 6 = ?

    • 3 x 6 =


    • Double the product:



    • So, 6 x 6 =


  8. 6 x 10 = ?

    • 3 x 10 =


    • Double the product:



    • So, 6 x 10 =


  9. 6 x 1 = ?

    • 3 x 1 =


    • Double the product:



    • So, 6 x 1 =


  10. 6 x 11 = ?

    • 3 x 11 =


    • Double the product:



    • So, 6 x 11 =


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Answer Key

6s Practice Answer Key

Instructions: Solutions for the 6s Practice Worksheet, demonstrating the doubling strategy.


  1. 6 x 3 = ?

    • First, find 3 x 3 = 9
    • Then, double the product: 9 + 9 = 18
    • So, 6 x 3 = 18!
  2. 6 x 5 = ?

    • First, find 3 x 5 = 15
    • Then, double the product: 15 + 15 = 30
    • So, 6 x 5 = 30!
  3. 6 x 7 = ?

    • First, find 3 x 7 = 21
    • Then, double the product: 21 + 21 = 42
    • So, 6 x 7 = 42!
  4. 6 x 2 = ?

    • First, find 3 x 2 = 6
    • Then, double the product: 6 + 6 = 12
    • So, 6 x 2 = 12!
  5. 6 x 9 = ?

    • First, find 3 x 9 = 27
    • Then, double the product: 27 + 27 = 54
    • So, 6 x 9 = 54!
  6. 6 x 8 = ?

    • First, find 3 x 8 = 24
    • Then, double the product: 24 + 24 = 48
    • So, 6 x 8 = 48!
  7. 6 x 6 = ?

    • First, find 3 x 6 = 18
    • Then, double the product: 18 + 18 = 36
    • So, 6 x 6 = 36!
  8. 6 x 10 = ?

    • First, find 3 x 10 = 30
    • Then, double the product: 30 + 30 = 60
    • So, 6 x 10 = 60!
  9. 6 x 1 = ?

    • First, find 3 x 1 = 3
    • Then, double the product: 3 + 3 = 6
    • So, 6 x 1 = 6!
  10. 6 x 11 = ?

    • First, find 3 x 11 = 33
    • Then, double the product: 33 + 33 = 66
    • So, 6 x 11 = 66!
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Double Down on 6s! • Lenny Learning