MAY SALE! Get Math Mammoth and Make It Real Learning digital downloads at 28% off — right here at the MathMammoth.com website. Use coupon code FESP-QJQ7-QYVC at checkout. Offer valid through May 27, 2024.
^
You are here: HomeBlue Series → Bivariate Data

# Math Mammoth Bivariate Data

51 pages

## Prices & ordering

Printed copy \$7.75 USD

Math Mammoth Bivariate Data is a worktext that covers statistical topics meant for 8th grade in the Common Core Standards (CCS) (specifically, the standards 8.SP.1, 8.SP.2, 8.SP.3, and 8.SP.4). These topics have to do with bivariate data, or data involving two variables.

The first lesson introduces scatter plots. Students analyze the data in a variety of scatter plots, and determine visually whether there is an association between the variables. Next, they learn about basic patterns we often see in scatter plots, such as positive and negative association, linear association, clusters, and outliers. They also make scatter plots from given data, describe any special features in the plot, and answer a variety of questions related to the data.

In the following lesson, students fit a line (informally) to the data points displayed in a scatter plot. Mathematicians have developed several algorithms for finding a line of best fit, such as linear regression, but we are not using those here. Students use the basic idea of trying to leave close to an equal number of points on each side of the line, and also judging the fit by the closeness of the points to the line. This resembles the thought behind the linear regression algorithm, which finds the line of best fit by minimizing the squares of the distances of the data points to the line.

The last topic relating to scatter plots is the equation of the trend line. Students use the equation of the trend line to solve problems in the context of the data, interpreting the slope and intercept of the equation.

Then we turn our attention to categorical bivariate data, that is, data involving two variables that may or may not be numerical, but is divided into categories. Students learn that bivariate categorical data can be summarized in a two-way table, and if there is a pattern of association between the variables, it can be seen in the table.

Students construct and interpret two-way tables summarizing data on two categorical variables. In the last lesson, they calculate relative frequencies for rows or columns, and use those to describe the possible association between the two variables.

The book ends with a review lesson. The answers are appended.

The PDF version of this book can be filled in on a computer, phone, or tablet, using the annotation tools found in many PDF apps. See more.

## Better Yet - Bundle Deals!

*BONUS*: Buy any bundle listed above, and get the fully upgraded Soft-Pak software for FREE (includes 4 math and 2 language arts programs, complete with on screen and printable options).

## How and where to order

You can buy Math Mammoth books at:

• Here at MathMammoth.com website — simply use the "Add to cart" buttons you see on the product pages.
• Rainbow Resource carries printed copies for the Light Blue series books, plus several CDs (Light Blue and Blue series).
• Homeschool Buyers Club offers download versions of the Light Blue series, plus the Blue series bundle.
• Homeschool Planet sells the digital versions of the main curriculum and lesson plans to go with them.
• Lulu sells printed copies for most of the Math Mammoth materials (various series).

By purchasing any of the books, permission IS granted for the teacher (or parent) to reproduce this material to be used with his/her students in a teaching situation; not for commercial resale. However, you are not permitted to share the material with another teacher.

In other words, you are permitted to make copies for the students/children you are teaching, but not for other teachers' usage.

Math Mammoth books are PDF files. I recommend you use Adobe Reader to view them, including if you use a Mac. You can try other PDF viewers, but they may at times either omit or mess up some of the images.
WAIT!

Receive my monthly collection of math tips & resources directly in your inbox — and get a FREE Math Mammoth book!

You can unsubscribe at any time.

### Math Mammoth Tour

Confused about the different options? Take a virtual email tour around Math Mammoth! You'll receive:

An initial email to download your GIFT of over 400 free worksheets and sample pages from my books. Six other "TOURSTOP" emails that explain the important things and commonly asked questions concerning Math Mammoth curriculum. (Find out the differences between all these different-colored series!)

This way, you'll have time to digest the information over one or two weeks, plus an opportunity to ask me personally about the curriculum.
A monthly collection of math teaching tips & Math Mammoth updates (unsubscribe any time)

### "Mini" Math Teaching Course

This is a little "virtual" 2-week course, where you will receive emails on important topics on teaching math, including:

- How to help a student who is behind
- Troubles with word problems
- Teaching multiplication tables
- Why fractions are so difficult
- The value of mistakes
- Should you use timed tests
- And more!

A GIFT of over 400 free worksheets and sample pages from my books right in the very beginning. A monthly collection of math teaching tips & Math Mammoth updates (unsubscribe any time)