Pre-Algebra Problem 1.2THURSDAY AUGUST 21 AND FRIDAY AUGUST 22

Learning TargetThursday:I will develop a strategy to determine which mix is the most orangey.

Friday:I will know how to scale recipes up or down to make the desired amount of juice.

Launch

Have you ever made orange juice using frozen concentrate?

Think of the following ratios of concentrate to water, which one is the most orangey?

Ingredients Example 1 Example 2 Example 3

Mix X Mix Y Mix X Mix Y Mix X Mix Y

Concentrate 5 4 3 3 1 2

Water 3 3 4 6 2 2

Problem 1.2 A1

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

Problem 1.2 B 1.

Think about a pizza that was cut into 8 slices. If 5 pieces are eaten, how much of the pizza remains?

Problem 1.2 B 2.

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 number of cups of concentrate is 1.” What do you think? Is he correct?

Problem 1.2 C1 and 2

In Cups Mix A Mix B Mix C Mix D

Concentrate 2 5 1 3

Water 3 9 2 5

Total Juice 5 14 3 8

How many servings with one batch?

How many batches do I need to make?

Each camper will get ½ cup of juice. How many batches do we need? How much concentrate and how much water are needed to make juice for 240 campers?

Problem 1.2 D For each recipe how much concentrate is needed to make 1 cup of juice?

Mix A Mix B Mix C Mix DConcentrate 2 5 1 3Water 3 9 2 5Total 5 14 3 8

Problem 1.2 D

For each recipe how much concentrate is needed to make 1 cup of juice?

Mix A Mix B Mix C Mix D

Concentrate 2 5 1 3Water 3 9 2 5Total 5 14 3 8

❑𝟏

𝟐𝟓

𝑪𝒐𝒏𝒄𝒆𝒏𝒕𝒓𝒂𝒕𝒆𝑻𝒐𝒕𝒂𝒍

❑❑

❑❑ ¿

Problem 1.2 D

For each recipe how much water is needed to make 1 cup of juice?

Mix A Mix B Mix C Mix DConcentrate 2 5 1 3

Water 3 9 2 5

Total 5 14 3 8

❑𝟏

𝟑𝟓

𝑾𝒂𝒕𝒆𝒓𝑻𝒐𝒕𝒂𝒍

❑❑

❑❑ ¿

Problem 1.2 D For each recipe how much water is needed to make 1 cup of juice?

Mix A Mix B Mix C Mix DConcentrate 2 5 1 3Water 3 9 2 5Total 5 14 3 8

Rate your understanding

Learning Target

I will know how to scale recipes up or down to make the desired amount of juice.

Homework tonight

Complete page 10 of blue packet