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# Blue Series

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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. 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 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.

### Details

Publication Date
Nov 4, 2014
Language
English
Category
Education & Language
Contributors
By (author): Maria Miller

### Specifications

Pages
109
Binding
Paperback
Interior Color
Color
Dimensions
US Letter (8.5 x 11 in / 216 x 279 mm)