1. Multiplying with 4 MAFS.3.OA.3.7

2. Lesson Opening Solve the two problems below. Write the equation you used to solve the problem. 1.Renee has a garden with 3 rows of vegetables. Each row has 7 vegetables growing in it. How many vegetables are in Renee’s garden? 2.Gordon had $27 in his piggy bank. He used $3 to pay for a drink and some chips. How much money does Gordon have left?

3. Lesson Opening Solve the two problems below. Write the equation you used to solve the problem. 1.Renee has a garden with 3 rows of vegetables. Each row has 7 vegetables growing in it. How many vegetables are in Renee’s garden? 2.Gordon had $9 in his piggy bank. He used $3 to pay for a drink and some chips. How much money does Gordon have left? 3 rows with 7 vegetables in each row 3 x 7 = 21 Renee’s garden has 21 vegetables in it. $9, then spends $3 9 – 3 = 6 Gordon has $6 left.

4. Multiplying with 4 Write your 2s facts from 0 to 10: 0 × 2 = 1 × 2 = 2 × 2 = 3 × 2 = 10 × 2 =

5. Multiplying with 4 Doubling your 2 fact is a strategy you can use for a 4 fact. 4 x 6

6. Multiplying with 4 Doubling your 2 fact is a strategy you can use for a 4 fact. 4 x 6 Whoa, that’s a lot of stars to count! First, DOUBLE the factor that is not the 4. 6 doubled is 12. There are 12 stars here.

7. Multiplying with 4 Doubling your 2 fact is a strategy you can use for a 4 fact. 4 x 6 Whoa, that’s a lot of stars to count! Then, double what you just doubled. 6 doubled is 12. There are 12 stars here. There are also 12 here!

8. Multiplying with 4 Doubling your 2 fact is a strategy you can use for a 4 fact. 4 x 6 So, 4 × 6 = 24 6 doubled is 12. There are 12 stars here. Now, just double 12. 12 × 2 or 12 + 12 = 24

9. Multiplying with 4 So, what is… 4 groups of 3 (4 x 3) 4 groups of 6 (4 x 6) 4 groups of 8 (4 x 8) 4 groups of 7 (4 x 7) 4 groups of 9 (4 x 9) Think: 2 × 3 = 6, now double 6 Think: 2 × 6 = 12, now double 12 Think: 2 × 8 = 16, now double 16 Think: 2 × 7 = 14, now double 14 Think: 2 × 9 = 18, now double 18

10. Multiplying with 4 Next to the 2 facts you wrote at the beginning of class, write your 4 facts. 2 x 0 = 04 x 0 = 0 2 x 1 = 24 x 1 = 4 2 x 2 = 44 x 2 = 8 2 x 3 = 64 x 3 = 12 2 x 4 = 84 x 4 = 16 2 x 5 = 104 x 5 = 2 x 6 = 124 x 6 = 2 x 7 = 144 x 7 = 2 x 8 = 164 x 8 = 2 x 9 = 184 x 9 =

11. Multiplying with 4 Let’s look at our Multiplication Table…

12. Multiplying with 4 Find all the multiples of 4… The ones place has a pattern of 4, 8, 2, 6, 0…. The tens place has 2 of the same number, then 3 of the same number, then 2 of the same number…

13. Multiplying with 4 Let’s look at our 100 Chart…

14. Multiplying with 4 Look at the multiples of 4…

15. Multiplying with 4 Look at the multiples of 4… All the multiples of 4 are also all multiples of 2. Every other multiple of 2 is a multiple of 4. All multiples of 4 are even numbers. If a 4 in the ones place is a multiple of 4, it is not in the ones place in the next row.

16. Multi-Models What each player needs: Blank grid (like graph paper) × 4 fact cards How to play: One player pulls a × 4 fact card from a facedown deck. Player then outlines an area model representation of the fact on their grid, labeling it with the fact. Players take turns pulling cards and drawing area models until a player cannot fit a model on his grid for 3 consecutive turns. The player who is able to fit the most models on his grid wins.

17. Closing What is one strategy you used for multiplying with 4? Double the 2 fact (For 3 × 4: double 3 = 6, then, double 6 = 12.) Draw it/model it Use a tool (100 chart, multiplication chart)

18. Bonus Question When you multiply any number by 4, can the product ever be an odd number? Why or why not? So, if you had to multiply 4 and 156, which number could NOT be your product? a.610 b.613 c.624 d.636

19. Exit Ticket Francesca has 4 dresses she wants to sew. Each dress requires 7 yards of fabric. How many yards of fabric does Francesca need? 1.Model the problem. 2.Write an equation that corresponds to it. 3.Write another equation that corresponds to it. 4.Write the answer to the problem in a complete sentence.