EQ- Equations Module Overview
Equations Module Overview
Introduction
In sixth grade, students learned to solve one-step equations involving positive rational numbers. This module will allow students to extend that skill to solving equations containing integers, decimals, and fractions and identify the relationship between additive inverse in terms of change. Then, the one-step equations involving integers, decimals, and fractions will gradually transition to a deeper understanding of solving equations by exploring two step equations involving two operations. Later in the module, students will learn to solve equations that contain multiple operations, including combining like terms and the distributive property. Finally, variables on both sides will be added to the equations skills and the concept of equality will be developed as equations are balanced.
Essential Questions
- How do you solve equations containing integers?
- How do you solve equations containing decimals?
- How do you solve equations containing fractions?
- How do you solve equations with two operations?
- How do you solve multi-step equations?
- How do you solve equations with variables on both sides?
Key Terms
The following key terms will help you understand the content in this module.
Constant - The constant is a numerical term in an expression that does not change.
Coefficient - The coefficient is the numerical part of an algebraic term, for example, the 6 in 6x is the coefficient.
Equation - An equation is mathematical sentence relating expressions with an equal sign.
Evaluate - To evaluate, simply substitute a number for a variable in an algebraic expression.
Inverse Operation - An inverse operation is an operation that "undoes" another operation (e.g., subtraction is the inverse operation of addition division is the inverse operation of multiplication).
Reciprocal - Two numbers are reciprocals if their product is 1. Another name for reciprocal is "multiplicative inverse".
Solution - A solution is any value for a variable that makes an equation true.
Term - Each part of the expression separated by addition or subtraction signs is a term.
Variable - A variable is a symbol or letter that represents a number.
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