## Instructor Overview

Students use algebraic expressions and equations to represent rules of thumb involving measurement. They use properties of operations and the relationships between fractions, decimals, and percents to write equivalent expressions.

# Key Concepts

Expressions and equations are different. An expression is a number, a variable, or a combination of numbers and variables. Some examples of expressions are:

7

4*x*

5*a* + *b*

3(2*m* + 1)

In Grade 7, the focus is on linear expressions. A linear expression is a sum of terms that are either rational numbers or a rational number times a variable (with an exponent of either 0 or 1). If an expression contains a variable, it is called an *algebraic expression*. To evaluate an expression, each variable is replaced with a given value.

Equivalent expressions are expressions for which a given value can be substituted for each variable and the value of the expressions are the same.

An equation is a statement that two expressions are equal. An equation can be true or false. To solve an equation, students find the value of the variable that makes the equation true.

Students solve an equation that involves finding 10% of a number. They see that finding 10% of the number is the same as finding 0.1 of the number, or finding $\frac{1}{10}$ of the number.

# Goals and Learning Objectives

- Write expressions and equations to represent real-world situations.
- Evaluate expressions for given values of a variable.
- Use properties of operations to write equivalent expressions.
- Solve one-step equations.
- Check the solution to an equation.

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