Algebra 1

Course Goals

• Apply function notation to describe relationships between quantities and interpret function notation to solve problems.
• Interpret and create graphs of linear relationships.
• Write one-variable and two-variable linear equations and use them to solve problems. Describe transformations defined by changes in the slope or the y-intercept of linear functions.
• Represent data with scatter plots and apply mathematical models to solve problems.
• Write systems of equations and solve them using algebraic and graphical methods.
• Represent data with dot plots, box plots, and histograms.
• Analyze, interpret, and justify conclusions from a set of data.
• Determine the sums, differences, and products of polynomials.
• Apply factoring techniques and distribution to rewrite quadratic expressions.
• Graph and transform quadratic functions on the coordinate plane.
• Identify and apply a quadratic data model to make predictions and solve problems.
• Solve quadratic equations in one variable by inspection, taking square roots, factoring, completing the square, and using the quadratic formula.
• Graph exponential functions and identify their key features.
• Write and apply exponential functions to model situations in the real world.
• Identify and analyze key features of piecewise and absolute value functions.
• Solve systems of linear and quadratic equations graphically and algebraically.
• Solve systems of linear and exponential equations graphically, tabularly, and by applying successive approximation.