Rates Ratios and Unit Rates

Slides:

Advertisements

Similar presentations

Ratios & Rates. What is a ratio? A ratio is the comparison between two quantities Have we studied anything that would be considered a ratio? Fractions.

Advertisements

Fractions.  The Numerator is the number on top  The Denominator is the number on bottom  The Factors of a number are those numbers that will divide.

Ratios and Rates. ratio – is a comparison of two numbers or more values. Example: 1:3.

Ratios and Rates. ratio – a comparison of two numbers by division written in several different forms.

A ratio is a comparison of two quantities by division.

Section 2.2: Rate, Unit Rate, and Unit Price

Ratio Notes A ratio is a comparison of two numbers by division. Each number in a ratio is called a term. Ratios can be written three ways and SHOULD ALWAYS.

Equivalent Ratios and Rates

Section 4-1 p. 156 Goal – to express ratios as fractions - to determine unit rates.

Bell Ringer The odometer on Jordan’s car read 23,273 miles when he left on a trip and 23,650 miles when he returned. Jordan drove his car 6.5 hours on.

Objective:Objective: Students will express ratios and rates as fractions (8-1).

Created by: Mrs. Dube.  Rate – a ratio that compares two quantities measured in different units  Ex. miles/per hour  Unit rate – a rate whose denominator.

4/17/2013 Review of Unit Rate.

6-1 Ratios and Rates.  Ratio: a comparison of 2 numbers by division  5 out of 205:205  20  Ratios need to be written in simplest form  5/20 = 1/4.

ratio percent Write fractions as percents and percents as fractions.

* A ratio is a comparison of two quantities by division. Ratios like 1 out of 2 can be written as 1:2, ½, or 1 to 2. * When ratios compare a number to.

Rational numbers. Whole numbers Whole numbers Rational numbers Whole numbers Natural numbers Integers / ¾ 18% A rational number.

POD Cole can bike 24 miles in 48 minutes. How many miles can he bike in 60 minutes? Use a unit rate to solve.

Adding & Subtracting Rational Expressions. Vocabulary Rational Expression Rational Expression - An expression that can be written as a ratio of 2 polynomials.

POD Find your pulse. We are going to count how many beats your heart makes in 2 minutes. Teacher will keep the time. You keep count. Write your results.

Ratios and Rates. ratio – a comparison of two numbers by division written in several different forms.

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

5-1 Ratios & Rates Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

4-2 Rates Warm Up: November 4 th Divide ÷ ÷ ÷ ÷

6.2 Ratios The student will describe and compare two sets of data, using ratios, and will use appropriate notations such as a/b, a to b, and a:b.

4.1 Ratio and Proportion Ratio – comparison of two numbers by division. –Can be written: a to b a : b where b ≠ 0. If a and b represent quantities measured.

Ratios Lesson 7 – 1. Vocabulary Ratio: a comparison of two numbers (quantities) by division Equivalent Ratios: ratios showing the same relationship between.

Rate/Unit Rate. What is it? A rate is a special ratio that compares two values with different units. Rates sometimes use the words per and for instead.

Rates Ratios and Unit Rates You will need two different colored highlighters.

Learning goal: Define, solve and create rates and unit rates.

Created by: Mrs. Dube. Vocabulary Review Ratio is a comparison of two quantities by division Can be written in three ways: As a fraction With the word.

Simplify, Multiply & Divide Rational Expressions.

Converting Decimals to Fractions: Read it, Write it, Reduce it! Math-7 NOTES DATE: ______/_______/_______ What: Converting Fractions and decimals Why:

Unit 5 Part A Quiz Review 6 th : Lesson 1-2 (Ratios) 7 th : Lessons 1-1—1-3.

A number in the form a/b where a and b are whole numbers and b is not 0. A fraction may be used to name part of a whole, or to compare two quantities.

Complex Fractions and Unit Rates. 6 8 Complex Fraction – A fraction where the Numerator, Denominator, or both contain fractions. 18 % 2 5.

Converting Decimals to Fractions Goal: use place values to make fractions.

Ratios and Rates. ratio – A ratio is a comparison of two or more quantities. Ratios may be written in colon form ( 1:2 ) or in fraction form ( 1/2 ).

Ratio and Rates Coordinate Algebra. Ratio A ratio is a comparison of two numbers by division.

5.1 Ratios and Rates Essential Question What kind of information do rates and ratios provide?

Do Now Laurie and Cynthia played 5 games of checkers together. The ratio of games that Laurie won to games that she lost was 2:3. What was Laurie’s ratio.

Ratios and Rates. ratio – a comparison of two numbers by division written in several different forms.

POD Cole can bike 24 miles in 48 minutes. How many miles can he bike in 60 minutes?

POD Find your pulse. We are going to count how many beats your heart makes in 2 minutes. Teacher will keep the time. You keep count. Write your results.

6th: Lesson 1-2 (Ratios) 7th: Lessons 1-1—1-3

Ratios, Rates, & Unit Rates

Ratios and Rates.

Ratio Sponge Page 43 Find the following ratios THREE WAYS:

Complex Fractions and Review of Order of Operations

Ratios and Rates.

Ratios and Rates.

Ratios and Rates.

Rate By, Mrs. Muller.

Ratios involving complex fractions

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

MATH 7 Ms. Harrison September 2017

Which fraction is the same as ?

Section 3.1 Ratios and Rates

Warm Up: Divide using a calculator ÷ ÷ ÷ ÷

COURSE 3 LESSON 5-1 Ratios and Rates

Direct Conversions Dr. Shildneck.

Ratios and Rates.

Chapter 3: Solving Equations

Chapter 7-1 Ratios and Rates

Ratios and Rates.

Exploring Rates Objective:

Equivalent Ratios and Rates

Chapter 1 Vocabulary Sections1-1,1-2,1-3

Unit Rate Unit 1 Lesson 2 Math 6.

Ratios and Rates.

Presentation transcript:

Rates Ratios and Unit Rates You will need two different colored highlighters Not all slides are used in the notes

Ratio - a comparison of two quantities by division Ratio - a comparison of two quantities by division. Can be written 3 different ways. 200 4 200 : 4 200 to 4 Rate – Ratio that compares 2 quantities measured in different units 200 Miles 4 Hours 200 Miles : 4 Hours 200 Miles to 4 Hours

Ex 1) A basket of fruit contains 6 apples, 4 bananas, and 3 kiwi. Write a ratio in all 3 forms for the following: 4 b A. Bananas to kiwi 1. Write the first quantity on top with a label 3 k 3 k B. Kiwi to bananas 2. Simplify, but do not convert to a proper fraction 4 b 4 b 2 b C. Bananas to apples = 6 a 3 a 6 a 2 a D. Apples to Kiwi = 3 k 1 k

A unit rate is a rate whose denominator is 1 A unit rate is a rate whose denominator is 1. To change a rate to a unit rate, divide both the numerator and denominator by the denominator. 200 Miles 4 Hours 50 Miles = 1 Hour Ex 2) During exercise, Paul’s heart beats 675 times in 5 minutes. How many times does it beat per minute? 675 beats 675 beats ÷ 5 135 beats = 5 minutes ÷ 5 1 minute

Ex 3) The Millers want to drive the 288 miles to Rainbow Falls in 6 hours. What should their average speed be in miles per hour? 288 miles ÷ 6 48 miles = 6 hours ÷ 6 1 hour

Notes start here

You will need two different colored highlighters Date ___________ Rates Ratios and You will need two different colored highlighters

A ratio is a comparison of two quantities A ratio is a comparison of two quantities. Can be written 3 different ways. : to Rate – Ratio that compares 2 quantities measured in different units : to

Ex 1) A basket of fruit contains 6 apples, 4 bananas, and 3 kiwi. Write a ratio in all 3 forms for the following: A. Bananas to kiwi 1. Write the first quantity on top with a label B. Kiwi to bananas 2. Simplify, but do not convert to a proper fraction C. Bananas to apples D. Apples to Kiwi

A unit rate is a rate whose denominator is 1 A unit rate is a rate whose denominator is 1. To change a rate to a unit rate, divide both the numerator and denominator by the denominator. 200 Miles 4 Hours 50 Miles = 1 Hour Ex 2) During exercise, Paul’s heart beats 675 times in 5 minutes. How many times does it beat per minute? ÷ = ÷

Ex 3) The Millers want to drive the 288 miles to Rainbow Falls in 6 hours. What should their average speed be in miles per hour? ÷ = ÷