Unit 4: Equations & Inequalities
Lesson Video
Focus Standards
Learning Focus
Additional Resources
A Develop Understanding Task Uses the context and structure of an equation to identify and justify the next steps in solving it.
Solve multi-step linear equations using inverse operations.
How does connecting the operations in an equation to an action in a story help me develop and justify my solution process for solving the equation?
How does the structure of an equation give me clues about how to solve it?
A Solidify Understanding Task
Introduces how to rearrange formulas to solve for a specific variable and how to interpret the meaning of expressions in a given context.
Use units to interpret and solve equations that contain primarily variables that represent quantities, such as a formula.
What does it mean to solve an equation that contains multiple variables?
How can I use descriptions and units associated with variables to guide my thinking about solving such equations?
Lesson 3: Solving Equations Literally
A Practice Understanding Task
Extends understanding of solving multi-step equations and literal equations.
Compare strategies for solving linear equations and literal equations.
How is solving an equation with one variable similar to the work of solving an equation with more than one variable?
Lesson 4: Greater Than?
A Develop Understanding Task
Develops reasoning about inequalities and explanations for the properties of inequalities.
NC.M1.A-REI.3
Reason about inequalities.
Justify properties of inequalities.
Use inequality notation.
What are the properties of inequalities? Are they different from the properties of equations?
A Solidify Understanding Task
Applies the properties of inequalities to solve inequalities. Practices how to appropriately represent solutions for simple and compound inequalities.
Write and solve inequalities to model real situations.
Write solutions to inequalities using set builder and interval notation.
How can inequalities be used to find solutions to real problem situations?
Lesson 6: Taking Sides
A Practice Understanding Task
Compares solving linear equations with solving inequalities in one variable. Addresses common misconceptions about inequalities.
Understand similarities and differences in solving equations and inequalities.
Learn to avoid common errors and misunderstandings about inequalities.
What are some of the common misconceptions of inequalities?
How does having a deep understanding of what inequalities mean help to avoid errors?
Can an inequality have no solutions?