May SALE! Get Math Mammoth and Make It Real Learning downloads & CDs at 25% off — right here at the MathMammoth.com website. Use coupon code WD2Q-P5CB-TXH4 at checkout. Offer valid through June 1, 2022.

^
You are here: HomeBlue Series → Expressions & Equations

# Math Mammoth Expressions & Equations

109 pages

## Prices & ordering

Printed copy \$10.65

(credit cards, Google Pay, Paypal, PO)

Este libro en español

Math Mammoth Expressions & Equations is a worktext that focuses on the order of operations, equations, expressions, and simplifying expressions in several different ways. It is most suitable for 6th-7th grades. The main principles are explained and practiced both with visual models and in abstract form, and the lessons contain diverse practice problems that approach the concepts from various angles. We also touch on inequalities and graphing on an introductory level. In order to make learning these concepts easier, the expressions and equations in this book do not involve negative numbers (as they typically do when studied in pre-algebra and algebra).

We start out by studying the order of operations. Then the lessons focus on algebraic expressions. Students encounter the exact definition of an expression, a variable, and a formula, and practice writing expressions in many different ways. They study equivalent expressions and simplifying expressions. Length and area are two simple contexts I have used extensively for students to learn to write and simplify expressions.

In the lesson More On Writing and Simplifying Expressions students encounter more terminology: term, coefficient, and constant. In exercise #3, they write an expression for the perimeter of some shapes in two ways. This exercise is preparing the students to understand the distributive property.

In these lessons, students have opportunities to write real-world scenarios in terms of variables. In other words, they decontextualise — they abstract a given situation and represent it symbolically. Then, as they learn algebra, they learn to manipulate the representing symbols as if they have a life of their own, without necessarily attending to their referents, and to reason abstractly about those quantities represented by the variables.

The other major topic of the book is equations. Students learn some basics, such as, the solutions of an equation are the values of the variables that make the equation true. They use properties of operations and the idea of maintaining the equality of both sides of an equation to solve simple one-step equations. I have also included a few easy two-step equations.

Next, students solve and graph simple inequalities, again practicing the usage of variables to represent quantities. Lastly, they are introduced to the usage of two variables in algebra, including how to graph that relationship on a coordinate plane. This is an important topic, as so many real-life situations involve a relationship between two quantities, and graphing that relationship is an important tool in mathematical modeling.

You will find free videos covering many topics of this book at www.mathmammoth.com/videos/equations_expressions (the first three sections, up to the subtitle “Linear Equations”).

The digital download version (PDF) of this book is enabled for annotation. This means that if you prefer, the student can fill it in on a computer (with Adobe Reader) or on a tablet (requires a PDF app with annotation tools).

## 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).
• At Teachers Pay Teachers you can purchase the Light Blue Series downloads, plus topical units.
• 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)