Math 8 – Unit Rates and Proportions

Slides:

Advertisements

Similar presentations

Do Now 1.Susie earns 1/4 of a dollar for every 1/2 mile she runs in the race. How many miles does she need to run to earn a dollar? 2.Henry completes 1/6.

Advertisements

Do Now Nancy earns $180 in 20 hours. What is her unit rate of her earnings? William can pack 60 toys in 4 hours. What is his unit rate with which he packs.

Unit Rates & Conversions How to set up & solve conversions using the unit rate.

Ratios, Rates, and Unit Rates across the Universe An introduction Mr. Underwood.

Minds On. Emily's brother drove 340 miles and used 17 gallons of gas. How many miles per gallon (mpg) did he get?

7-3 Proportions Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

02 – 4a Unit Rates PA Grade 7, Math Anchor M07.A-R Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and.

Bell Ringer I will not answer questions.

Bell Work: Simplify: x y (hint: make all exponents positive) -32.

Find the missing values

Thursday, June 4th Math Homework Study for Test Individuals: Homework out, everything else put away.

Adv. Math Chapter 22 Review. Use the picture to write the ratios. Tell whether the ratio compares part to part, part to whole, or whole to part. All.

HAWKES LEARNING Students Count. Success Matters. Copyright © 2015 by Hawkes Learning/Quant Systems, Inc. All rights reserved. Section 4.1 Rates and Unit.

Transparency 1 Click the mouse button or press the Space Bar to display the answers.

What I’ve Learned Lately October 11, 2011 to October 14, 2011.

Chapter 7 Proportional Reasoning Section 7.1 The Concept of Ratio.

Unit 3 Quiz Review. Write each ratio as a fraction in simplest form 7 to out of : students, 16 are girls.

POP QUIZ Write these ratios in all three ways (in simplest form). 1. What is the ratio of stars to arrows? 2. What is the ratio of arrows to checkmarks?

Percents, Fractions, and Decimals Finding a Percent of a Number Lessons 6.6 & 6.7.

Proportions. Proportion – two equal ratios 1 = 4 3 = = 21 a = c 8 24 b d.

Ratio, Rate, Proportion, and Percent. Ratio  Comparison of two numbers by division  Can be written three different ways 4 to 9 4 :

Bell Quiz. Objectives Solve rate and ratio problems.

Proportions 7 th Grade Math November, Proportions with Pandas..\videos\Proportions with Pandas.asf.

Ratios and Proportions Test Review. A remote control car can travel at a rate of 30 feet per minute. How many feet per second is this?

A set of linear equations involving the two variables A solution is the intersection of the two lines. One of three things can happen: 11.1 Systems of.

 Step 1: Identify comparison ◦ Example: Height of tree to the cost  Step 2: Write down rate proportion ◦ Example:  Step 3: Substitute values from problem.

Solving Proportions. Definitions: Proportion – an equation stating that two ratios are equal Cross Products – are found by multiplying the denominator.

Model Reason Make Sense

Question 1 The recipe for chocolate chip cookies requires 3 cups of chocolate chips for every 8 cups of flour. What is the ratio of chocolate chips to.

1.Mr. Kell bought 5 packs of pencils for $6.05. How much would one pack of pencils cost? 2.Kroger sells 3 lbs bags of oranges for $5.00 and 5 lbs of oranges.

Vocabulary A ratio is a comparison of two quantities by division. One out of five pairs of shoes are flip fops. - Can be written 1 to 5, 1:5, or - No.

OBJECTIVE: Learn to work with unit rates.. How many of you have ever had to spend your own money for food? If you walk into a store and are starving but.

Rates and Unit Rates Wanna do some math today?? Of course I do!! Math is the BEST subject ever!!!!

“Cross Multiply and Divide” Can be used to determine the unknown value in any proportional reasoning problem For example…. Multiply these two 60 x 11 =10.

By : Castula Rodriguez. Unit Rate- is the ratio of cost: number of units; then the ratio is simplified so that it equals 1 Unit Price- is the price or.

Examples: 1)If 3 tickets to a concert cost $45, how much would it cost for 10 people to go to the concert? 2)A certain car drove 210 miles on 5 gallons.

Chapter 1 Dimensional Analysis (or, Converting Units)

Rates & Percents. WhiteBlackHispanic Total People Living in Poverty 26,038,0009,393,0009,132,000 Total People in U.S. 238,000,00038,028,00041,698,000.

Standards: Mathematical Problem Solving and Communication: A, B, C Algebra and Functions D, E Objectives:  use rates and.

Using Ratio Tables (Part 1: Creating equivalent ratios by adding on)

1 Add and Subtract Mixed Numbers With like and unlike denominators.

Comic Strip Math Stories. Picture – show question Picture – show data known Picture – show how to figure Picture – show solution A box contains 14 candy.

7-3 Proportions Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

Unit 5-Part B Test Chapter 1 Lessons Two quantities are proportional if they have a constant ratio or unit rate For relationships in which this.

Unit Rates Math Notebook, pencil and calculator. Example If a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2.

Proportions #27. A proportion is an equation that shows two equivalent ratios. Read the proportion = as “two is to one as four is to two.” 2 1 __ 4 2.

2.1 Unit Rates Essential Question: When and why do I use proportional comparisons?

Math Jeopardy GeometryMeasurementMixed Bag True or FalseWord Problems

Write and Solve Proportions

Addition and Subtraction Problems

Study for Math test & complete maintenance sheet 20- due tomorrow- Grade reports will go out on Thursday Unit Test Wednesday.

Using the Bar Model Approach

Literal Equations and Formulas

JEOPARDY! UNIT 2 REVIEW Math 6 CCGPS Click Once to Begin Template by

Chapter 3 Ratios and Rates

Medieval Millions Fifth Grade Math

Unit Rates with Fractions

Understanding Proportions

7th Grade Math with Mrs. Davidson

Unit 5. Day 15..

Introduction to Percents.

Distance=Rate x Time.

Unit 5. Day 8..

Ratios Ratio – comparison of two quantities by division to 7 5:7.

College Algebra Chapter 1 Equations and Inequalities

Day C 12/5/18 AM Advisory 7:45 – 7:49 Period :51 – 8:21 Science

1) Write the fraction as a decimal. 2) Find the difference

Bell Ringer I will not answer questions.

Presentation transcript:

Math 8 – Unit Rates and Proportions 10/9

CC3: Proportional Reasoning

There is a lot of candy around at Halloween time!

What mathematical questions come to mind? https://www.youtube.com/watch?v=TpdsyZs4j0M

Which is the best deal on candy? When shopping for Halloween candy, there are so many choices of mixed bags of candy. What information do you need to determine the best deal? If you were given that information, how would you figure out the best deal?

Which is the best deal on candy?

Some Definitions Unit – A quantity used as a standard of measurement Example: A foot, a second, a liter, a decibel Your Example:

Some Definitions Ratio – A measurement compared against another measurement Example: It takes Mr. Horan 5 days to grade 133 tests. Your Example:

Some Definitions Unit Rate – A measurement compared against another measurement where one of the measurements MUST BE EQUAL TO ONE. Example: 60 miles per hour, 4 tablespoons of honey per batch of pizza dough, $15.00 per notebook Your Example:

Examples of Unit Rates Mike spends $3.00 on two candy bars. How much did he spend per candy bar?

Examples of Unit Rates Mike spends $3.00 on two candy bars. How much did he spend per candy bar? He spent $1.50 per candy bar.

Examples of Unit Rates Mike spends $3.00 on two candy bars. How much did he spend per candy bar? He spent $1.50 per candy bar. Danielle drove 150 miles in 5 hours. How fast was she driving in miles per hour?

Examples of Unit Rates Mike spends $3.00 on two candy bars. How much did he spend per candy bar? He spent $1.50 per candy bar. Danielle drove 150 miles in 5 hours. How fast was she driving in miles per hour? She drove 30 miles per hour.

Examples of Unit Rates Mike spends $3.00 on two candy bars. How much did he spend per candy bar? He spent $1.50 per candy bar. Danielle drove 150 miles in 5 hours. How fast was she driving in miles per hour? She drove 3 miles per hour. How many miles do you walk to school? How long does it take you?