Middle School Programs Building Healthy Core Learning 6th Grade Math, Unit 7

6th Grade UNIT 7 OVERVIEW: Equations and Inequalities Unit Outcomes

Key Vocabulary

At the end of this unit, your student should be able to:  Solve equations and inequalities  Graph inequalities  Create an equation or inequality based on a real-world or mathematical problem.

Key Standards Addressed Connections to Common Core/NC Essential Standards 6.EE.5 Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true?

Terms to deepen the student’s understanding          

Additive Inverse Coefficients Constant Distributive Property Equation Evaluate Expression Greater Than Greater Than or Equal To Inequality Integers

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Inverse Operations Less Than Less Than or Equal To Like Terms Opposite Quantity Rational Numbers Solution Term Unlike Terms Variable

Where This Unit Fits Connections to prior and future learning Coming into this unit, students should have a strong foundation in:  Multiplication Facts (0-12)  Division Facts (0-12)  How to graph a rational number on a number line  Order of operations

6.EE.7 Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px=q for cases in which p, q, This unit builds to the following future skills and concepts: and x are all nonnegative rational numbers.  Solving multi-step equation and inequalities 6.EE.8 Write an inequality of the form x>c or xc or x
Additional Resources Materials to support understanding and enrichment  Teaching videos made by Wake County teachers  WCPSS YouTube Channel – Math Playlist  Expressions, Equations and Inequalities Video  Solutions to Equations and Inequalities Video  1-Step Equations and Inequalities Video  One Step Equations Video – Khan Academy  One Step Inequalities Practice – Khan Academy

“Learning Checks” Questions Parents Can Use to Assess Understanding  What is an equation and how is it similar and/or different from an inequality?  What is an inequality and how is it similar and/or different from expressions and equations?  How can I determine if given value(s) provide solution(s) to an equation or inequality?  What strategies can I use to determine the solution to a onestep equation?  How can I translate word phrases and sentences to mathematical expressions, equations, or inequalities?

Middle School Programs Building Healthy Core Learning 6th Grade Math, Unit 7

6th Grade UNIT 7 OVERVIEW: Equations and Inequalities  Translating Real Life Equations Video  Graphing Equations and Inequalities Video  Graphing One Step Inequalities Practice Game  Applications and Word Problems with Inequalities Practice Quiz

 How does the solution to an equation relate to the solutions of an inequality?  How can I represent the solution to an equation or inequality on a number line?  How can I represent the solution to an equation or inequality on a number line?

* Please note, the unit guides are a work in progress. If you have feedback or suggestions on improvement, please feel free to contact [email protected].