8th Grade Algebra

What your student will be able to do after a successful year

The real number system

  • Extend the properties of exponents to rational exponents.
  • Use properties in rational and irrational numbers.

Quantities

  • Reason quantitatively and use units to solve problems.

Seeing structure in expressions

  • Interpret the structure of linear expressions.
  • Interpret the structure of exponential expressions.
  • Write quadratic expressions in equivalent forms to solve problems.
  • Write exponential expressions in equivalent forms to solve problems.
  • Perform arithmetic operations on polynomials.

Creating equations 

  • Create linear equations that describe numbers or relationships.
  • Create exponential equations that describe numbers or relationships.
  • Create quadratic equations that describe numbers or relationships.
  • Create inequalities that describe numbers or relationships.

Reasoning with equations and inequalities

  • Understand solving equations as a process of reasoning and explain the reasoning.
  • Solve equations and inequalities in one variable.
  • Solve systems of equations.
  • Represent and solve equations and inequalities graphically.

Interpreting Functions

  • Understand the concept of a function and use function notation.
  • Interpret linear functions that arise in applications in terms of a context.
  • Interpret exponential functions that arise in applications in terms of a context.
  • Interpret quadratic functions that arise in applications in terms of a context.
  • Analyze linear functions using different representations.
  • Analyze exponential functions using different representations.
  • Analyze quadratic functions using different representations.
  • Analyze other functions using different representations.

Building Functions

  • Build a linear function that models a relationship between two quantities.
  • Build an exponential function that models a relationship between two quantities
  • Build a quadratic function that models a relationship between two quantities
  • Build new functions from existing functions.
  • Find inverse functions.

Linear, Quadratic, and Exponential Models

  • Construct and compare linear, quadratic, and exponential models and solve problems.
  • Interpret expressions for functions in terms of the situation they model.

Interpreting Categorical and Quantitative Data

  • Summarize, represent, and interpret data on a single count or measurement variable.
  • Summarize, represent, and interpret data on two categorical and quantitative variables.
  • Interpret linear models.