Comparing & Scaling Unit: 1.2 Comparing Ratios 1) Learning Target: To compare mixtures I can write part-to-part and part-to-whole ratios.Homework: 1) Complete Notes on pg. 4 of CS Inv. 1 by watching the Zaption Video Tour for CS 1.2.2) 30 mins of MathXL for School Warm-Up:

1.Take a small cup2.Go around the room and VERY LITTLE SAMPLE.

each of the FOUR orange juices.3.Write down in order the MOST orangey tasting

juice to the LEAST orangey tasting juice.

NEW SEATS!

Video: Which juice is more orangey? https://www.educreations.com/lesson/view/orangey-juice-cs-1-2/35530892/?s=ronwm2&ref=link

CS packet Inv. 1 p. 2

Every year, the Grade 7 students at Langston Hughes School go on an outdoor education camping trip. During the week-long trip everyone pitches in to help with cooking and cleanup.

This year, Arvin and Mariah were in charge of making orange juice for the campers. They planned to make the juice by mixing water and frozen orange juice concentrate. To find the mix that would taste best, they decided to test some mixes.

Think and Ink: Explain your thinking.

• Which mix will make juice that is the most “orangey”?

• Which mix will make juice that is the least “orangey”?

Pair and Share: Discuss your ideas with your group. Work with your group to create a poster that includes:

• How did you compare the mixes?• Which mix will make juice that is the most orangey?• Which mix will make the juice that is the least orange?

Be prepared to share your poster in a class gallery walk.

After gallery walk: • Did you change your answer?

Why or why not?

• Which mix will make juice • that is the most “orangey”? • Which mix will make juice • that is the least “orangey”?

Inv. 1 p. 3

2 parts out 5 parts total 3/5 C. 1

5/14 C. 9/14 C. 3

1/3 C. 2/3 C. 4

3/8 C. 5/8 C. 2

2÷5 = 40%

5÷14 = 36%

1÷3 = 33%

3÷8 = 38%

2/5 C.

5 cups total 14 cups total 3 cups total 8 cups total

Inv. 1 p. 3

B. Isabelle and Doug used fractions to express their reasoning.Isabelle: 5/9 of Mix B is concentrateDoug: 5/14 of Mix B is concentrate

Do you agree with either of them? Explain.

5/14 C. 9/14 C.

Isabelle compared the parts: 5 C. concentrate to 9 C. waterPART to PART ratio

Doug compared the parts: 5 C. concentrate to 14 C. totalPART to WHOLE ratio

Max thinks that Mix A and Mix C are the same.

Max says, “They are both the most ‘orangey’ since the difference between the number of cups of water and

the number of cups of concentrate is 1.” Is Max’s thinking correct?

Explain.

Max’s thinking is incorrect. He subtracted the numerator

from the denominator.

Use PART-to-WHOLE you see that 2/5

is more orangey than 1/3

2/5 = 40%

1/3 = 33.3%

*Hint: Mix D: Each 8 cup‑ batch serves 16 people a half cup = 15 batches.

24 batches

9 batches

40 batches

Mix A: Each 5 cup‑ batch serves 10 people a half cup = 24 batches. Mix B: Each 14 cup‑ batch serves 28 people a half cup = 9 batches. Mix C: Each 3 cup‑ batch serves 6 people a half cup = 40 batches. For Mix B, 43 and 77 are closer approximations. Why can’t you make exactly 120 cups with whole numbers by scaling up this recipe?

24 x 2 C. = 48 C. 24 x 3 C. = 72 C.

~9 x 5 C. = 45 C. ~9 x 9 C. = 81 C.

40 x 1 = 40 C. 40 x 2 C. = 80 C.

CS 1.2 Comparing Ratios Did I meet my Learning Target? I can write part-to-part and part-to-whole ratios

to compare mixtures.

Homework: 1) Complete Notes on pg. 4 of CS Inv. 1 packet by watching the Zaption Video Tour for CS 1.22) 30 mins of MathXL for School