• Topic: Equations
    Lesson 5: Inequalities (3 Days)
    Topic Description
    Students will explore the connection between equality and inequality. The behavior of inequalities in the negative number system is explored as well.
    Common Core State Standards Addressed:
    • A-SSE.3: Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
    • A-CED.1: Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
    • A-CED.2: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
    • A-CED.3: Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context.
    • A-REI.1: Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution.
    • A-REI.2: Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.
    • A-REI.3: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
    Mathematical Practice Standard(s) Emphasized:
    • MP 1: Make sense of problems and persevere in solving them.
    • MP 2: Reason abstractly and quantitatively.
    • MP 7: Look for and make use of structure.