Lesson 6.1 Ratios and Rates

Slides:

Advertisements

Similar presentations

EXAMPLE 1 Writing a Ratio Skiing A ski resort has 15 easy, 25 intermediate, 7 difficult, and 11 expert-only trails. Write the ratio “intermediate trails.

Advertisements

Constructed Response Assessment October 17th A ratio is a comparison of two quantities using division. Ratios can be written in three different ways:

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

Ratios Rates and Unit Rate

Ratios and Unit Rates Lesson 6-1 & 6-2.

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.

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 5 Ratio, Proportion, and Measurement.

Simplifying Fractions. October 1, 2012 Standard: 6.NS.1. Interpret & compute quotients of fractions, & solve word problems involving division of fractions.

“Rational Number Riddles”

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

4/17/2013 Review of Unit Rate.

3.4 Ratios & Proportions Ratios & Proportions Goals / “I can…”  Find ratios and rates  Solve proportions.

Unit Rates Lesson 6.2.

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.

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.

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

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

Holt CA Course Identifying and Writing Proportions Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.

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

Ratios, Rates and Unit Rates Honors Math – Grade 7.

Do Now 3/28/11 Copy HW in your planner. Copy HW in your planner.  Text p.  Text p. 272, #10-36 evens Be ready to copy POTW #1 for the 4 th marking period.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–1) Then/Now New Vocabulary Example 1:Find Unit Rates Example 2:Real-World Example: Compare.

Splash Screen. 1.A 2.B 3.C 4.D Five Minute Check 6 A.10:34 B.17:5 C.5:17 D.34:10 Among the staff at Roosevelt Elementary, 68 teachers prefer coffee and.

Ratios and Unit Rate Reminder By: Mr. Menjivar. Ratios and Unit Rates Reminder R L 03/31/11 Ratios and Unit Rate Reminder Reflection 03/31/11 Observe,

Lesson 2-4 Example Find the LCM of 5, 9, and 15. Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, … Multiples of 9: 9, 18, 27, 36, 45, 54,

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 ).

Rate It Simplify It Solve ItPotluck Fraction Fun.

Lesson 1.3 Write Expressions Essential Question: How do you write an expression to represent a real- world situation?

EQUIVALENT RATIOS.

Comparing and Ordering Fractions

Unit Rates Lesson 6-2.

5 Chapter Chapter 2 Ratio, Proportion, and Measurement.

Bell Work Write the ratio in simplest form: 18 24

Unit Rate Review Unit Rate Notes Page 39.

Comparing and Ordering Fractions

Ratios, Rates, and Unit Rates across the Universe

Do Now If Sara can jog 2/3 of a mile in 1/3 of an hour, how many miles can she jog in one hour?

DO NOW (not later): Compare the number of boys to girls in the class.

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.

Unit Rates Lesson 6-2.

4.1 Ratios Ratio: uses division to compare two numbers. Numbers are usually the same unit of measurement. Do not convert to a decimal or a mixed fraction,

Ratios and Proportions

Lesson 4.3 Simplifying Fractions

Unit Rates Lesson 6-2.

Write and Solve Proportions

5 Chapter Chapter 2 Ratio and Proportion.

Ratios and Rates.

Lesson 1 Data Analysis Ratios and Rates.

Lesson 4.5 Comparing Fractions and Mixed Numbers

Write and Solve Proportions

Ratios, Rates, and Unit Rates

Equivalent Fractions Lesson 3-4.

5.1/2 Rates and Ratios Objective: Students will be able to write simple ratios three ways. They will also be able to make simple conversions. With the.

Ratios and Rates.

Ratios and Rates.

Ratios and Rates.

Rate By, Mrs. Muller.

Ratios involving complex fractions

MATH 7 Ms. Harrison September 2017

Section 3.1 Ratios and Rates

Ratios and Rates.

6-1: Ratios and Rates.

Ratio and Proportion.

Chapter 7-1 Ratios and Rates

Ratios and Rates.

n + 2 = n R+2+3 = 4 3m+4m = Ticket in the door

Rates and Unit Rates Determine the rate for ratios of quantities with different units Use reasoning about multiplication and division.

Ratios and Rates.

Presentation transcript:

Lesson 6.1 Ratios and Rates Essential Question: How do you find ratios and unit rates?

Before we start… There are 14 girls in a class of 24 students. What fraction of the class is girls? What fraction of the class is boys? What is the fraction of girls to boys in class?

𝑎 𝑏 𝑎:𝑏 a to b What is a ratio? Uses division to compare two numbers. You can write the ratio of a to b as: 𝑎 𝑏 𝑎:𝑏 a to b

What are equivalent ratios? Ratios that have the same value. 9:5, 18:10, 3:1 2 3

How do you write a ratio? To write a ratio, you make a fraction comparing the two numbers. Put the ratio in simplest form by reducing.

Archery An archer shoots 60 arrows at a target, with 44 arrows hitting the scoring area and 16 missing the scoring area. Write the ratio of hits to the number of misses Write the ratio of hits to the number of shots

Volleyball A volleyball team plays 14 home matches and 10 away matches. a. Find the ratio of home matches to away matches. b. Find the ratio of home matches to all matches.

Skiing A ski resort has 15 easy, 25 intermediate, 7 difficult, and 11 expert-only trails. Write the ratio “intermediate trails: easy trails” in three ways.

Average wing length (cm) Biology The ratio comparing the length of a bird’s wings to the average width of the bird’s wings is the bird’s aspect ratio. Order the birds in the table from the greatest aspect ratio to the least. Bird Wing length (cm) Average wing length (cm) White-tailed eagle 209 30 European jay 47 12 Black-headed gull 83 8

What is a rate? A ratio of two quantities that have different units. Equivalent = same value

Weather Lightning strikes about 100 times per second around the world Weather Lightning strikes about 100 times per second around the world. About how many times does lightning strike per minute around the world?

Typing Li types 75 words per minute Typing Li types 75 words per minute. How many words can she type in an hour at this rate?

Pumping Water A water pump moves 2 gallons of water per second Pumping Water A water pump moves 2 gallons of water per second. How many gallons of water are pumped per minute?

What is a unit rate? 55 miles per hour A rate that has a denominator of 1 unit. 55 miles per hour $2.99 per pound

How do you find a unit rate? To find a unit rate, divide the numerator and the denominator by the denominator. You want a denominator of 1

Write -24 feet per 5 seconds as a unit rate.

Write the rate as a unit rate. 114 points 6 games

Write the rate as a unit rate. 365 people 5 months

Write the rate as a unit rate. 329 miles 10 gallons

Party You host a party for 12 people Party You host a party for 12 people. The food and drinks for the party cost $66. What is the cost per person?

How do you find ratios and unit rates?

Ticket Out the Door You pay $3.45 for 15 ounces of cereal. What is the cost per ounce?