Chapter 3 Ratios and Rates Part 2 Day

Chapter 3 Ratios and Rates (Part 2)

Day…. . 1. Equivalent ratios 2. Ratios Tables 3. Creating and interpreting ratio tables 4. Mid Unit Recap 5. Mid Unit Assessment

Day 1

Bell Work Orange Book Pages 16 -17

Vocabulary Equivalent- Equal or the same. Fraction- A comparison of two numbers by division. A ratio that compares a part to the whole or set. Percentage- A ratio used to compare parts per 100. Represents a part to whole relationship. Proportion- An equation composed of two equivalent ratios. Rate- A ratio used to compare quantities with different units of measure. Rate of Change- Describes how one quantity changes in relation to another quantity. Ratio- A comparison of two or more quantities. Ratio Table- A table composed of equivalent ratios. Scaling- To increase or decrease a ratio, using proportional reasoning. Unit Rate- A rate decreased to a comparison of 1.

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! ****

Notes Continued…… v 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: v To calculate the unit rate of a ratio, divide the numerator by the denominator and place the quotient over a 1. Examples: v 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 • http: //learnzillion. com/lessons/606 -createequivalent-ratios • http: //learnzillion. com/lessons/607 -simplifyratios-using-common-factors

Math Time • Technology • Independent • My Choice • Extension-

Wrap it Up • Review • Questions • Exit Tickets

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 Equivalent- Equal or the same. Fraction- A comparison of two numbers by division. A ratio that compares a part to the whole or set. Percentage- A ratio used to compare parts per 100. Represents a part to whole relationship. Proportion- An equation composed of two equivalent ratios. Rate- A ratio used to compare quantities with different units of measure. Rate of Change- Describes how one quantity changes in relation to another quantity. Ratio- A comparison of two or more quantities. Ratio Table- A table composed of equivalent ratios. Scaling- To increase or decrease a ratio, using proportional reasoning. Unit Rate- A rate decreased to a comparison of 1.

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 determine and organize equivalent ratios. – Remember equivalent ratios express the same relationship between two quantities. – Ratios can only be scaled up or down by multiplication or division. Example: Ratio of eggs to servings in a recipe for cake Servings 8 16 24 32 40 48 56 Eggs 2 4 6 8 10 12 14

Watch This • http: //learnzillion. com/lessons/587 -solveratio-problems-using-tables-andmultiplication • http: //learnzillion. com/lessons/608 -solvemissing-values-in-ratio-problems-using-a-table

Partner Practice Please clear your desk of everything except a pencil.

Wrap it Up • Review • Questions • Exit Tickets

Day 3

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 5 Price $4 10 15 20 25 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 Equivalent- Equal or the same. Fraction- A comparison of two numbers by division. A ratio that compares a part to the whole or set. Percentage- A ratio used to compare parts per 100. Represents a part to whole relationship. Proportion- An equation composed of two equivalent ratios. Rate- A ratio used to compare quantities with different units of measure. Rate of Change- Describes how one quantity changes in relation to another quantity. Ratio- A comparison of two or more quantities. Ratio Table- A table composed of equivalent ratios. Scaling- To increase or decrease a ratio, using proportional reasoning. Unit Rate- A rate decreased to a comparison of 1.

I can… Solve problems involving the use of a ratio table

Partner Practice Textbook pages 166 -167

Math TIME • Technology • Independent • My Choice • Extension-

Wrap it Up • Review • Questions • Exit Tickets

Day 4

Bell Work The table below shows how students in two classes arrive at school most mornings. Method Bus Walk Bike Number of Students 14 18 10 Car 8 Based on the results in the table, how many can be expected to take the bus if there are 250 students in the school?

Homework Check

Vocabulary Equivalent- Equal or the same. Fraction- A comparison of two numbers by division. A ratio that compares a part to the whole or set. Percentage- A ratio used to compare parts per 100. Represents a part to whole relationship. Proportion- An equation composed of two equivalent ratios. Rate- A ratio used to compare quantities with different units of measure. Rate of Change- Describes how one quantity changes in relation to another quantity. Ratio- A comparison of two or more quantities. Ratio Table- A table composed of equivalent ratios. Scaling- To increase or decrease a ratio, using proportional reasoning. Unit Rate- A rate decreased to a comparison of 1.

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.

Mid Unit Recap Please your desk of everything except for a pencil and the provided cloze notes.

Wrap it Up • Review • Questions • Quiz

Ratio Bingo

Day 5

Bell Ringer Silently review your vocabulary terms. Your quiz will begin in 5 minutes.

Homework Check

Vocabulary Equivalent- Equal or the same. Fraction- A comparison of two numbers by division. A ratio that compares a part to the whole or set. Percentage- A ratio used to compare parts per 100. Represents a part to whole relationship. Proportion- An equation composed of two equivalent ratios. Rate- A ratio used to compare quantities with different units of measure. Rate of Change- Describes how one quantity changes in relation to another quantity. Ratio- A comparison of two or more quantities. Ratio Table- A table composed of equivalent ratios. Scaling- To increase or decrease a ratio, using proportional reasoning. Unit Rate- A rate decreased to a comparison of 1.

I Can…. Show what I know.

Mid Unit Assessment • Take out a pencil and a calculator • Clear everything else from your desk

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

Wrap it Up • Review • Questions • Exit Tickets