Bivariate data is a set of data that is made of two paired variables. It's two different sets of data that are being compared. If the relationship between the variables is linear, then the rate of change, the slope, is constant. If the graph shows a nonlinear relationship, then the rate of change varies between pairs of points and the graphed points will make a curve. We give examples of bivariate data. We solve a problem in which a table shows the x and y-values. We graph the data for two different options onto the same coordinate grid. We compare the rates of change to see if it is constant and linear, or not constant and nonlinear. 8th Grade Math 5.3a, Finding the Equation of a Linear Relationship, Slope-Intercept Form https://youtu.be/tWSF7_jWB2c 8th Grade Math 5.3b, Making Predictions Using an Equation of a Linear Relationship https://youtu.be/gQx3niNGSRY 8th Grade Math Course Playlist https://www.youtube.com/playlist?list=PLKi4WTp6PRGXnc3q2i4u3GMqVHYBFMz56 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. 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/ MINDS https://www.Minds.com/joannsschool Odysee https://www.odysee.com/JoAnnsSchool:2 Twitter https://twitter.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 8 2018 Student Edition Publisher : HOUGHTON MIFFLIN HARCOURT; Student edition (April 28, 2017) Language: ‎English 2018 copyright ISBN-13 : 978-1328761071 Item Weight : 2.85 pounds Paperback : 608 pages Product dimensions : 8.4 x 1.1 x 10.7 inches ... https://www.youtube.com/watch?v=jDBAC412CNA

We've solved problems using integers, positive and negative fractions, and positive and negative decimals. A single problem may involve rational numbers in two or more of these forms. To solve these problems, we'll need to convert fractions to decimals or decimals to fractions. We review converting a fraction to a decimal, and converting a decimal to a fraction. We solve two word problems that involve both fractions and decimals. I share my recipe for a small batch of cinnamon honey butter. 7th Grade Math 3.6a, Getting Ready, Estimation Strategies, Compatible Numbers https://youtu.be/HE8zGjjyZBU 7th Grade Math 3.6b, Getting Ready, Estimation Strategies, Reasonable Estimates https://youtu.be/Yu9jDMKggCw 7th Grade Math 3.6c, Assessing Reasonableness of Answers https://youtu.be/Kh8R9QiHVKQ 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=qFVFMPHw7h4

We have learned that on a horizontal number line, the positive direction is to the right and the negative directions to the left. On a vertical number line, the positive is up, and the negative is down. We can use subtraction of a positive number to represent a decrease. To subtract a positive rational number on a number line, we start at a point for the first number (minuend) and draw an arrow moving in the negative direction for the second number (subtrahend), to the left. Adding a negative is the same as subtracting a positive. We show examples of using a number line to find the difference for subtracting a positive number. We show how we can draw our number line to fit the equation. We review how the Commutative Property does not work for subtraction. 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=_j9HpRrPuGg

When a problem contains data as fractions AND decimals, we'll need to write the data as all fractions or all decimals to solve. We review the steps to solving word problems. We can use a number line to find equivalent fractions and decimals. If a fraction and decimal are represented by the same point on a number line, they're equivalent. We see how to convert a decimal to a fraction, and a fraction to a decimal. We solve a multi-step problem that involves converting fractions into decimals for money amounts. We look ahead to 7th grade and show how some decimal numbers have recurring (repeating) digits. We draw a bar over the top of those recurring digits to indicate they repeat. 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. 6th Grade Math 3.3a, Compare and Order Fractions and Decimals https://youtu.be/2_J5tRAociA 6th Grade Math 3.3b, Comparing and Ordering Rational Numbers https://youtu.be/Qs8KdkZA-cM 6th Grade Math 5.5a, Applying Operations With Rational Numbers, Interpreting a Word Problem https://youtu.be/Il9L1rf3nhs 6th Grade Math Course 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=y0KyPyLaQXo