Chapter 3 Ratios and Rates

Day….. 1.Expressing ratios in all formsExpressing ratios in all forms 2.Equivalent ratiosEquivalent ratios 3.Creating and interpreting ratio tables to represent and solve problems involving equivalent ratios.Creating and interpreting ratio tables to represent and solve problems involving equivalent ratios. 4.Exploring ratios using modelsExploring ratios using models 5.Creating and simplifying equivalent ratiosCreating and simplifying equivalent ratios

Day 1

Bell Work During one year Mrs. Laymon sent 484 text messages. This number was 1/3 the number of text messages her son sent during the same year. How Many text message did her son send? Draw a diagram and justify your response. If he sent the same number of messages each month, how many messages did he send in one month?

I Can….

Vocabulary Nails Used51015 Shelves Hung123

Introducing Ratios

Ratio Scavenger Hunt 1.Write your exit ticket. 2.Pack up everything but a pencil. 3.When told, place your backpack or other belongings in your chair

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Day 2

Bell Work A recipe requires a ratio of 2 cups of flour to 3 cups of water. How much water will you need if you have 12 cups of flour? The ratio of Tennessee representatives to total representatives in the U.S Congress is 3 to 145. If the U.S. Congress has 435 representatives, how many represent Tennessee?

Homework Check

Vocabulary Nails Used51015 Shelves Hung123 Ratio Equivalent Ratio Scaling Ratio Table

I Can…. determine if two ratios are equivalent.

Equivalent Ratios Essential Understanding: To create equivalent ratios, scale them up or down (multiply or divide each quantity by the same amount). You can use a ratio table or T Chart to organize your work. There are many ways to determine if two ratios are equivalent. For instance, you can determine their cross products, calculate their unit rates, or scale both ratios down to simplest form. **** A word to the wise…Label, Label, Label! ****

Notes Continued……  To determine cross products, begin by writing each ratios in fraction form. Then,multiplying the numerator of one ratio by the denominator of the other (cross multiplication). If the cross products are equivalent then the ratios are equivalent. (This type of equation is called a proportion and can be used to solve for a missing value. To be discussed at a later time….) Example:  To calculate the unit rate of a ratio, divide the numerator by the denominator and place the quotient over a 1. Examples:  To simplify ratios, begin by writing the ratio in fraction form. Then, scale the ratio down by dividing both parts by the greatest common factor. Examples:

Watch This equivalent-ratios equivalent-ratios ratios-using-common-factors ratios-using-common-factors

Practice

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Day 3

Bell Work The ratio of walkers to bikers on a trail is about 10 to 6. If there are 20 walkers, about how many bikers would there be? Draw a diagram and justify your response.

Homework Check

Vocabulary Nails Used51015 Shelves Hung123 Ratio Equivalent Ratio Scaling Ratio Table

I Can…. create and use ratio tables to represent and solve problems involving equivalent ratios.

Ratio Tables Essential Understanding: Ratio tables can be used to find equivalent ratios. Remember equivalent ratios express the same relationship between two quantities. Example: Ratio of eggs to servings in a recipe for cake Servings Eggs

Watch This ratio-problems-using-tables-and- multiplication ratio-problems-using-tables-and- multiplication missing-values-in-ratio-problems-using-a-table missing-values-in-ratio-problems-using-a-table

Practice

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Day 4

Bell Work Packs of gum are on sale this week 5 for $4. If Mrs. E wanted to buy gum for the class how much would it cost to buy each student a pack? Create a ratio table to find the price for 10, 15, 20, and 25 packs. # of Packs Price$4 Wow! That’s a lot of money for gum, when you have 90 students! Mrs. E decides to buy every student one piece of gum instead. For a total of 90 pieces. Each pack had 5 pieces. How many packs did she buy in all?

Homework Check

Vocabulary Nails Used51015 Shelves Hung123 Ratio Equivalent Ratio Scaling Ratio Table

I Can…. Relate ratios and rates to the multiplication and division of fractions. Look at my answer to check that I answered what was asked and see if my answer makes sense.

p O p Quiz Take out a pencil and a calculator Clear everything else from your desk

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Ratio Bingo

Day 5

Bell Work The table below shows how students in two classes arrive at school most mornings. Based on the results in the table, how many how many can be expected to take the bus if there are 250 students in the school? MethodNumber of Students Bus14 Walk18 Bike10 Car8

Vocabulary Nails Used51015 Shelves Hung123 Ratio Equivalent Ratio Scaling Ratio Table

Let’s Review Please Take out your Study Guide

I Can…. explore ratios using models.

Lego Creation Station Clear your desk

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