RATIOS: Using ratio tables Ms. Rodriguez & Ms.Berger September 29, 2015

DO NOW Find the constant for the following to solve for the missing number -   9 : 6 = __ : 36 Find the value for the following ratio - 24 : 9

How can we use a table to create equivalent ratios? FOCUS QUESTION How can we use a table to create equivalent ratios?

Example #1 To make Paper Mache, the art teacher mixes water and flour. For every two cups of water, she needs to mix in three cups of flour to make the paste. Find equivalent ratios for the ratio relationship 2 cups of water to 3 cups of flour. Represent the equivalent ratios in the table below: CUPS of WATER 2 4 CUPS of FLOUR 3 6

Example #2: Rachel has a new fixing NASCAR cars. She is paid $700 for every 3 cars she repairs. Create a table to show how much money Rachel has earned after repairing 15 cars. PAY CARS 700 3 15 PAY 700 CARS 3 15

Rachel needs to repair 21 cars to pay for her class. Rachel is saving money to pay for a college class that costs $4,900. How many cars does she need to fix to pay for her class? PAY 700 1,400 2,100 2,800 3,500 CARS 3 6 9 12 15 Rachel needs to repair 21 cars to pay for her class.

Partner Work

Assume each of the following represents a table of equivalent ratios Assume each of the following represents a table of equivalent ratios. Fill in the missing values. Then choose one of the tables and create a word problem for the ratios shown in that table. 22 12 16 44 55 66 34 51 12 15 85 18 102 14 15 21 25 35 30

Independent Work!

James is setting up a fish tank James is setting up a fish tank. He is buying a breed of goldfish that typically grows to be 12 inches long. It is recommended that there be 1 gallon of water for every inch of fish length in the tank. Create a ratio table to answer the following questions: What is the recommended ratio of gallons of water per fully-grown goldfish in the tank? What size tank (in gallons) is needed for James to have 5 full-grown goldfish? How many fully-grown goldfish can go in a 40-gallon tank? What can you say about the values of the ratios in the table?

Amelia needs 2 jars of white paints for every nine jars black paint Amelia needs 2 jars of white paints for every nine jars black paint. Complete the ratio table below to answer the following questions: White Paint 2 Black Paint 9 How many jars of white paint does Amelia need if she has 45 jars of black paint? Amelia has only 8 cups of white paint. How many jars of black paint does she need? What can you say about the values of the ratios in the table?

EXIT TICKET A father and his young toddler are walking along the sidewalk. For every 3 steps the father takes, the son takes 5 steps just to keep up. What is the ratio of number of steps the father takes to the number of steps the son takes? Complete the table with labels and equivalent ratios. What can you say about the values in the ratio table?