Pre-Algebra

Monday August 25

Learning Target

I will be able to recognize and represent proportional relationships between quantities.

What did we do last time?

In problem 1.2 we scaled up and scaled down recipes. What is the example of scaling up that we talked about?• scaled up our recipes to make 240 – ½ cup servings What is the example of scaling down that we talked about?• scaled down our recipes to make one cup of juice.What does part to part mean in our recipes?What does part to whole mean in our recipes?

Problem 1.3- Think about the problem

The recipes in the orange juice problem were written in cans. Could we have written the recipe in ounces instead?If each can holds 12 ounces how many ounces do we need for the Mix A recipe?2 cans of concentrate3 cans of water5 total cans

5 x 12 = 60 ounces

Problem 1.3In problem 1.2 we used ratios to determine which recipe was the most “orangey”. Here are two ratios describing Mix Atwo cups of concentrate

tothree cups of water

2:3 or 2/3

two cups of concentrateto

five cups of juice2:5 or 2/5

OR

This ratio is a part-to-part ratio. It compares one part – the water to the other part – the concentrate.

This ratio is a part-to-whole ratio. It compares one part – the concentrate to the whole mixture.

Converting units – customary units

http://www.brainpop.com/math/numbersandoperations/customaryunits/

So how can we break down a gallon?

Converting units continued

Cups to ounces….

How many ounces are in a gallon?

16 of 8 ounces = 128 ounces!

Problem 1.3 A

http://dashweb.pearsoncmg.com/main.html?r=14185&p=367

Can of concentrate 1Cans of water 3Total juice in cans 4 How many ounces?

Problem 1.3 B1

http://dashweb.pearsoncmg.com/main.html?r=14185&p=18

5 1/3 cans 5 x 12 = 60

1/3 x 12 = 4TOTAL 64 ounces64 ounces = ½ gallon

Problem 1.3 B2

Which of these containers should you use for one batch of the lemonade?

Problem 1.3 C. 1b

Cece is making orange juice using one 16 ounce can of of concentrate. She is using the standard ratio of one can of concentrate to three cans of cold water. How large a pitcher will she need?

Problem 1.3 C. 1b

Olivia has a one-gallon pitcher to fill (to the top) with orange juice. She uses the standard ratio of one can of concentrate (16 ounces) to three cans of cold water. How much concentrate does she need?

Standard ratio3 cans of cold water1 can of concentrate4 cans of juice

Problem 1.3 D

Otis likes to use equivalent ratios. For Olivia’s problem in Question c, part (1), he wrote ratios in fraction form:

1. What do the numbers 1, 4 and 128 mean in each ratio?

2. How can Otis find the correct value of x?

Rate your learning

I will be able to recognize and represent proportional relationships between quantities.