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

We can use place value and regrouping to multiply multi-digit numbers. We show a step-by-step method to multiply multi-digits. We discuss the importance of estimating a product before doing the actual multiplication so we will know if our actual answer is reasonable, and makes sense. The second partial product is always greater than the first partial product because it is a product of multiplying by tens. We solve two word problems that involve multiplication by multi-digit numbers with regrouping. 5th Grade Math 1.4, Powers of 10 and Exponents https://youtu.be/EdOS5GBek4c 5th Grade Math 1.5, Multiplication Patterns, Powers of 10, and Mental Math https://youtu.be/B71mVxB5xTw 5th Grade Math 1.6, Multiply by 1-digit Numbers with Regrouping https://youtu.be/dc1QDxMFXB0 5th Grade Math Playlist https://www.youtube.com/playlist?list=PLKi4WTp6PRGX8NtQpzliTlMceQT1ua24f I'm using the Houghton Mifflin Go Math! 2015 copyright textbook for this playlist. You can practice online using the textbook's website https://www.gomathacademy.com/ YouTube rating for JoAnn's School videos: L0 - No strong language N0 - No nudity S0 - No sexual situations V0 - Not violent or disturbing D0 - No drug reference or content F0 - No flashing lights content FOLLOW ME: SUBSCRIBE on YouTube https://www.youtube.com/c/JoAnnsSchool TWITTER https://twitter.com/JoannsSchool FACEBOOK https://www.facebook.com/JoAnnsSchool/ MINDS https://www.Minds.com/joannsschool PATREON https://www.patreon.com/JoannsSchool SUPPORT MY WORK: PATREON (one time or monthly) https://www.patreon.com/JoannsSchool PAYPAL (one time) https://www.paypal.me/JoAnnsSchool ... https://www.youtube.com/watch?v=HT8HVffUiTY