Multiplying with 6 MAFS.3.OA.3.7

Lesson Opening Solve the two problems below. Write the equation you used to solve the problem. 1.Tiana arranged 12 flowers in 4 vases. She put the same number of flowers in each vase. How many flowers are in each vase? 2.Wyatt packed 4 boxes of cans for a food drive. He put 7 cans in each box. How many cans of food did Wyatt pack?

Lesson Opening Solve the two problems below. Write the equation you used to solve the problem. 1.Tiana arranged 12 flowers in 4 vases. She put the same number of flowers in each vase. How many flowers are in each vase? 2.Wyatt packed 4 boxes of cans for a food drive. He put 8 cans in each box. How many cans of food did Wyatt pack? 12 flowers in 4 vases (groups) 12 ÷ 4 = 3 or 4 x ____ = 12 There are 3 flowers in each vase. 4 boxes (groups) of 8 cans each 4 x 8 = 32 Wyatt packed 32 cans of food.

Multiplying with 6 Write your 3s facts from 0 to 10: 0 × 3 = 1 × 3 = 2 × 3 = 3 × 3 = 10 × 3 =

Multiplying with 6 Doubling your 3 fact is a strategy you can use for a 6 fact. 6 x 7

Multiplying with 6 Doubling your 3 fact is a strategy you can use for a 6 fact. 6 x 7 This shows 3 groups of 7 or 3 × 7, which is 21.

Multiplying with 6 Doubling your 3 fact is a strategy you can use for a 6 fact. 6 x 7 This shows 3 groups of 7 or 3 × 7, which is 21. Since this is also 21, you can double 21, which is 42.

Multiplying with 6 Doubling your 3 fact is a strategy you can use for a 6 fact. So, 6 × 7 = 42 This shows 3 groups of 7 or 3 × 7, which is 21. Since this is also 21, you can double 21, which is 42.

Multiplying with 6 So, what is… 6 groups of 3 (6 x 3) 6 groups of 6 (6 x 6) 6 groups of 8 (6 x 8) 6 groups of 7 (6 x 7) 6 groups of 9 (6 x 9) Think: 3 × 3 = 9, now double 9 Think: 3 × 6 = 18, now double 18 Think: 3 × 8 = 24, now double 24 Think: 3 × 7 = 21, now double 21 Think: 3 × 9 = 27, now double 27

Multiplying with 6 Using your 5 fact and adding another group is another strategy. 6 x 7

Multiplying with 6 Using your 5 fact and adding another group is another strategy. 6 x 7 I don’t know what 6 x 7 is, but I can figure out what 5 x 7 is.

Multiplying with 6 Using your 5 fact and adding another group is another strategy. 6 x 7 I don’t know what 6 x 7 is, but I can figure out what 5 x 7 is. 5 x 7 = 35

Multiplying with 6 Using your 5 fact and adding another group is another strategy. 6 x 7 5 x 7 = 35 Now, all I have to do is ADD another group of 7.

Multiplying with 6 Using your 5 fact and adding another group is another strategy. 6 x 7 5 x 7 = = 42

Multiplying with 6 Using your 5 fact and adding another group is another strategy. 6 x 7 So, 6 x 7 = 42

Multiplying with 6 Using your 5 fact and adding another group is another strategy. 6 x 7 This is just using the Distributive Property.

Multiplying with 6 Using your 5 fact and adding another group is another strategy. 6 x 7 This is just using the Distributive Property. First, I multiplied 5 x 7, (5 x 7) Then I multiplied 1 x 7, (1 x 7) Then I added the products together.

Multiplying with 6 Using your 5 fact and adding another group is another strategy. 6 x 7 5 x 7 1 x 7

Multiplying with 6 Using your 5 fact and adding another group is another strategy. 6 x 7 5 x 7 1 x 7 (5 x 7) + (1 x 7) = 6 x 7 = 42

Multiplying with 6 So, what is… 6 groups of 3 (6 x 3) 6 groups of 6 (6 x 6) 6 groups of 8 (6 x 8) 6 groups of 7 (6 x 7) 6 groups of 9 (6 x 9) Think: 5 × 3 = 15, now add another group of 3, = … Think: 5 × 6 = 30, now add another group of 6, = … Think: 5 × 8 = 40, now add another group of 8, = … Think: 5 × 7 = 35, now add another group of 7, = … Think: 5 × 9 = 45, now add another group of 9, = …

Multiplying with 6 Let’s look at our Multiplication Table…

Multiplying with 6 Find all the multiples of 6… The ones place has a pattern of 2, 8, 4, 0, 6… All the multiples are even numbers

Multiplying with 6 Let’s look at our 100 Chart…

Multiplying with 6 Look at the multiples of 6…

Multiplying with 6 Look at the multiples of 6… All the multiples of 6 are also all multiples of 2. Every third multiple of 2 is a multiple of 6. All multiples of 6 are even numbers.

Multiplication Shapes Use the chart to help you explore polygons. You will need: Hexagon pattern blocks Triangle pattern blocks Multiplication Shapes Chart

There’s Always Another Way Use the chart to help you explore multiplying by 6 and using the Distributive Property. You will need: There’s Always Another Way Chart

Closing What is one strategy you used for multiplying with 6? Double the 3 fact (For 6 × 7: 7 x 3 = 21, then, double 21 = 42.) Use the Distributive Property (For 6 x 7: 5 x 7 = 35, then add another group of 7, = 42 This is the same as (5 x 7) + (1 x 7) = 42 Draw it/model it Use a tool (100 chart, multiplication chart)

Bonus Question When you multiply any number by 6, is the product always odd or always even? How do you know? So, if you had to multiply 6 and 39, which number could NOT be your product? a.234 b.235 c.238 d.242

Exit Ticket Ants have 6 legs. How many legs do 9 ants have? 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.