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Unit 1 - Expressions, Equations, & Inequalities

Common Core Standards
  • A.SSE.1.a(interpret parts of an expression)
  • A.SSE.2 - (rewriting expressions based on the structure of the expression)
  • A.APR.1 - (adding and subtracting polynomials)
  • A.CED.1 - (ceate equations and inequalities in one variable, and use to solve problems.)
  • A.CED.3 - (represent constraints on linear equations and inequalities in the context of the problem)
  • A.CED.4 - (rearrange formulas to isolate a certain variable)
  • A.REI.1 - (explain each step in solving an equation)
  • A.REI.3 - (solve equations and inequalities in one variable)
  • Embedded Standards (to be infused through ALL units of study):
    • N.Q.1 (choose and interpret units in understand problems and guide solution paths)
    • N.Q.2 -  (define appropriate quantities in context)
    • N.Q.3 -  (choose a level of accuracy appropriate to limitations on measurements)

*Each standard is linked to www.shmoop.com - where the standards are explained in more detail, with a few examples provided.

Pre-Requisite Standards: 
  • 6.EE.2, 6.EE.3, 6.EE.4, 6.EE.6, 6.EE.7, 6.EE.8
  • 7.NS.1.d, 7.NS.2.c, 7.NS.2.d, 7.NS.3, 7.EE.1, 7.EE.3, 7.EE.4.a, 7.EE.4.b
  • 8.NS.1, 8.EE.7.b
Allotted Time Frame: 11 days (including test day)

Learning Targets: "I can..."
  • manipulate fractions and decimals, and convert between fractions and decimals.
  • model and solve real-world and mathematical problems involving arithmetic operations with integers. 
  • use the order of operations to evaluate expressions with or without grouping symbols and/or exponents.
  • evaluate algebraic expressions using specific values for variables (substitution).
  • read, write, and translate verbal expressions into mathematical and algebraic expressions.
  • create and evaluate expressions to model and solve real-world and mathematical problems.
  • use the properties of equality to simplify algebraic expressions.
  • read, write, and translate verbal expressions into algebraic equations and/or inequalities.
  • write and solve one- and two-step equations in a single variable.
  • write, solve, and graph one- and two-step linear inequalities in a single variable.
  • write and solve multi-step linear equations and inequalities in a single variable.
  • use the properties of equality to explain the solution to a linear equation (algebraic proof).
  • represent and interpret constraints on linear equations and inequalities in context.
  • solve a linear equation and/or formula for a specified variable (literal equations).
  • give examples of linear equations with one solution, no solution, or infinitely many solutions.
  • use linear equations in a single variable to model and solve real-world and mathematical problems, and interpret the meaning of the solution in context.
Essential Vocabulary
  • additive identity
  • additive inverse
  • algebraic proof
  • associative property
  • coefficient
  • common denominator
  • commutative property
  • decimal expansion
  • denominator
  • distributive property
  • equation
  • evaluate
  • expression
  • inequality
  • inverse operations
  • integer
  • like terms
  • literal equations
  • multiplicative identity
  • multiplicative inverse
  • numerator
  • order of operations
  • properties of equality
  • replacement set
  • simplify
  • solution
  • solution set
  • substitution
  • variable
Resources