A rate is a ratio that compares two quantities measured in different units. A ratio is a comparison of quantities of the same type of units. A unit rate is a rate in which the second quantity in the comparison is one unit. Rates are often expressed as unit rates with a denominator of 1 unit. When two quantities being compared are both fractions, the rate is expressed as a complex fraction. A complex fraction has a fraction as its numerator, denominator, or both. They're also called compound fractions. We walk-through three different problems which involve finding unit rates. Per, for every, for each, can all be used to describe rates. When we write a rate as a fraction, the quantity that comes after one of these phrases will go in the denominator. 7th Grade Math 4.1a, Exploring Rates https://youtu.be/D0ciUjMEY8o 7th Grade Math Course https://www.youtube.com/playlist?list=PLKi4WTp6PRGWxBDwfqly2mFnLNfpAU8UV This video and its contents are the property of JoAnn's School and is protected under U.S. copyright law. To avoid a copyright strike from YouTube, do not re-upload them, or any part of them, to your own channel. Do not reproduce, distribute, transmit, broadcast, display, sell, license, or otherwise exploit any content for any other purposes. FOLLOW ME: YouTube https://www.youtube.com/joannsschool FACEBOOK https://www.facebook.com/JoAnnsSchool/ TWITTER https://twitter.com/JoannsSchool MINDS https://www.Minds.com/joannsschool SUPPORT MY WORK: PATREON (monthly) https://www.patreon.com/JoannsSchool PAYPAL (one time) https://www.paypal.me/JoAnnsSchool TEESPRING (buy stuff) https://teespring.com/stores/joanns-school Textbook: Go Math! Student Interactive Worktext Grade 7 2018 Student Edition Publisher: HOUGHTON MIFFLIN HARCOURT; Student edition (April 14, 2017) Language: English 2018 copyright ISBN-13: 978-1-328-76109-5 ISBN-10: 1328761096 Item Weight: 2.4 pounds Paperback: 560 pages ISBN-13: 978-1328761095 Product dimensions: 8.5 x 1.07 x 1.12 inches Reading level: 12 - 13 years ... https://www.youtube.com/watch?v=CgIbl3HzvFc

We can use tables and graphs to represent real-world problems involving equivalent rates. We fill our table with equivalent rates and use the table columns to make ordered pairs. We graph the ordered pairs and connect them with a line that begins at the origin (0,0). A proportion is an equation that states that two ratios or rates are equal. If two quantities have a proportional relationship, the ratio of one quantity to the other will have a constant rate of change. If two ratios or rates are in proportion to each other, we'll be able to multiply or divide both terms by the same number to find equivalent ratios or equivalent rates. We see how we can use a unit rate to complete a table of values that are proportional. We use the formula d=rt to find distance, rate, or time of an object moving at a constant speed. We can solve for any of these quantities as long as we know the other two. We see what happens if we switch the labels for the x and y axes. When graphing a ratio or rate from a table of values, our scale will be determined by the greatest value for each quantity and the size of the grid. This video and its contents are the property of JoAnn's School and is protected under U.S. copyright law. To avoid a copyright strike, do not re-upload them, or any part of them, to your own channel. 6th Grade Math 6.3a, Using Tables to Compare Ratios https://youtu.be/jTb9rpiYbnk 6th Grade Math 6.3b, Comparing Ratios https://youtu.be/E38yxW10Mfs 6th Grade Math 7.1a, Finding Ratios From Tables https://youtu.be/JCEEyWKCsDc 6th Grade Math 7.1b, Graphing With Ratios https://youtu.be/_aGVpfSme18 6th Grade Math Course Playlist https://www.youtube.com/playlist?list=PLKi4WTp6PRGWg5McSxYODb2Oqvtt8AM5s FOLLOW ME: YouTube https://www.youtube.com/joannsschool FACEBOOK https://www.facebook.com/JoAnnsSchool/ TWITTER https://twitter.com/JoannsSchool MINDS https://www.Minds.com/joannsschool SUPPORT MY WORK: PATREON (monthly) https://www.patreon.com/JoannsSchool PAYPAL (one time) https://www.paypal.me/JoAnnsSchool TEESPRING (buy stuff) https://teespring.com/stores/joanns-school Textbook to use: Publisher : HOUGHTON MIFFLIN HARCOURT; Student edition (May 4, 2017) Language: : English Paperback : 632 pages ISBN-10 : 1328761053 ISBN-13 : 978-1328761057 Item Weight : 3.26 pounds Dimensions : 8.5 x 1.4 x 10.8 inches This book may be purchased through many different online sellers. Just search "Go Math Grade 6 2018". Make sure you have one large textbook or the two-volume set. If the cover says "Volume 1", then you will also need "Volume 2". ... https://www.youtube.com/watch?v=m0YkUWRTy4E