Unit 2. Day 12.

Please get out paper for today’s lesson Name Date Period -------------------------------------------------------- Topic: Dividing Rational Numbers 7.NS.A.2 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers

6th Grade 5 3 4 3 4 ÷ 5 8 5 8 3∙8 24 2∙2∙2∙3 6 5 ÷ = ∙ = = = = 8 4∙5 20 2∙2∙5 𝑜𝑟 1 1 5 24 20 4 6 4 5 2 2 2 3 2 2 3 4 ∙ 8 5 3 2∙2 2∙2∙2 5 6 5 1 1 5 ∙ = = 𝑜𝑟

∙ − − 3 4 ∙ 8 5 3 2∙2 2∙2∙2 5 = = 7th Grade 5 − 3 4 ÷− 5 8 3 4 − 5 8 ∙ 3∙8 24 2∙2∙2∙3 6 5 ÷ ∙ − = = = = = 8 4∙5 20 2∙2∙5 24 20 4 6 4 5 2 2 2 3 2 2 3 4 ∙ 8 5 3 2∙2 2∙2∙2 5 6 5 ∙ = = −

Divide. Write in simplest form. − 2 3 ÷− 10 9 Example A*: − 15 16 ÷ 35 14 Example B*: 3 8 9 ÷−1 3 4 Example C*:

Example A*: Divide. Write in simplest form. 10 − 2 3 ÷− 10 9 2 3 10 9 2∙9 18 2∙3∙3 3 5 ÷ = ∙ = = = = 9 3∙10 30 2∙3∙5 18 30 2 9 3 10 3 3 2 5 2 3 ∙ 9 10 2 3 3∙3 2∙5 3 5 ∙ = =

Example B*: Divide. Write in simplest form. 35 − 15 16 ÷ 35 14 15 16 35 14 15∙14 210 2∙3∙5∙7 ÷ = ∙ = = = 14 16∙35 560 2∙2∙2∙2∙5∙7 3 8 = − 560 210 35 16 15 14 5 7 4 4 3 5 2 7 2 2 2 2 15 16 ∙ 14 35 3∙5 2∙2∙2∙2 2∙7 5∙7 − 3 8 ∙ = =

Example C*: Divide. Write in simplest form. − 7 3 8 9 ÷−1 3 4 3 8 9 −1 3 4 − 7 4 35 9 35∙4 140 2∙2∙5∙7 = = ÷ ∙ = = 3∙3∙7 4 9∙7 63 20 9 2 2 9 = − 𝑜𝑟 − 63 140 9 7 4 35 3 3 5 7 2 2 5∙7 3∙3 35 9 ∙− 4 7 2∙2 7 − 20 9 −2 2 9 ∙ = = 𝑜𝑟

Speed Word problems 30 𝑚𝑖𝑙𝑒𝑠 1ℎ𝑜𝑢𝑟 𝑘𝑚/ℎ 𝑚𝑖 ℎ 𝑘𝑚 ℎ 𝑚𝑖÷ℎ 𝑘𝑚÷ℎ

5 8 5 12 Example D*: Mr. Jordan walked 5 8 miles in 5 12 hr. What is his speed? Speed 𝑚𝑖 ℎ𝑟 : ÷ = 5 5 8 ÷ 5 12 5 8 5 12 5∙12 3 2 60 2∙2∙3∙5 ÷ = ∙ = = = = 12 8∙5 40 2∙2∙2∙5 1 1 2 = 60 40 6 10 4 10 2 3 2 5 2 2 2 5

Example E: Mr Jordan has 2 4 9 cups of jelly beans Example E: Mr Jordan has 2 4 9 cups of jelly beans. If he divides the jelly beans into 1 3 cup containers, how many containers will he need? 2 4 9 2 4 9 1 3 1 3 22 9 3 1 66 9 2∙3∙11 3∙3 22 3 ÷ ÷ = ∙ = = = 7 1 3

“How many times larger?” Word problems

Example F. : Mr Jordan makes breakfast and uses 5 1 4 cups of rice. Mr Example F*: Mr Jordan makes breakfast and uses 5 1 4 cups of rice. Mr. Yost only uses 3 4 cup of rice. How many times larger is the amount of rice used by Mr. Jordan? 5 1 4 5 1 4 3 4 3 4 21 4 4 3 84 12 2∙2∙3∙7 2∙2∙3 7 1 ÷ ÷ = ∙ = = = = 7