Students in this course will be expected to know how to do operations with integers, simplify and evaluate expressions, solve multi-step equations, and know the vocabulary and properties associated with these topics. The course will include instruction in linear, quadratic and exponential expressions and functions as well as some work with rational expressions, absolute value, step and piecewise functions.  Upon completion of this course, students will have a strong understanding of how to interpret functions given graphic, numerical, verbal or symbolic models. Extensions will be made throughout the course with critical thinking problems and activities, and students in this course will be expected to apply concepts to new ideas regularly. Skills from the Algebra 1 course will be embedded into the geometry curriculum and will also benefit students throughout their science sequence of study.

Students will:

• Solve multi-step linear equations with a variable on one side or both sides, and identify equations with no solution or infinitely many solutions. 

• Create multi-step linear equations and use them to solve real-life problems. 

•  Use unit analysis to model real-life problems. 

• Choose an appropriate level of accuracy for measurements when solving real-life problems. 

• Solve absolute value equations involving one or two absolute values, and identify equations with extraneous solutions. 

• Rewrite and use literal equations and common formulas. 

Students will:

• Graph and interpret linear inequalities. 

•  Write linear inequalities from graphs. 

• Create linear and absolute value inequalities and use them to solve real-life problems. 

• Solve multi-step, compound, and absolute value inequalities, and identify inequalities with no solution, one solution, or infinitely many solutions. 

Students will:

• Understand the definition of a function and use function notation. 

• Sketch a graph of a function from a verbal description. 

• Compare properties of two functions each represented in a different way. 

• Graph linear and absolute value functions, and show key features of the graph. 

•  Relate the domain of a linear function to its context. 

• Identify functions that are linear and prove linear functions grow by equal differences over equal intervals. 

• Interpret parts of an algebraic expression. 

•  Interpret the slope and intercepts of a linear function. 

• Solve real-life problems using function notation, linear equations, slopes, and y-intercepts. 

•  Translate, reflect, stretch, and shrink graphs of linear and absolute value functions. 

Students will:

• Create equations of linear functions using points and slopes. 

•  Identify, write, and use equations of parallel and perpendicular lines. 

•  Interpret scatter plots and fit linear functions to data to solve problems. 

• Interpret the slope and y-intercept of a linear model. 

• Determine how well lines of fit model data. 

•  Identify and interpret the correlation coefficient of a linear model. 

• Distinguish between correlation and causation. 

• Identify, extend, and graph arithmetic sequences, and write them as functions. 

• Evaluate, graph, and write piecewise functions. 

Students will:

• Solve systems of linear equations by graphing, substitution, and elimination. 

• Create and use systems of linear equations and linear inequalities to solve real-life problems. 

• Solve a system of linear equations with one solution, no solution, and infinitely many solutions. 

• Solve linear and absolute value equations by graphing. 

•  Graph the solutions of a linear inequality in two variables and graph the solution set of a system of linear inequalities in two variable

Students will:

• Find and compare the mean, median, and mode of a data set. 

• Determine how an outlier affects the measures of center of a data set.

•  Find the range and standard deviation of a data set. 

• Identify the effects of data transformations on measures of center and measures of variation. 

• Make and interpret box-and-whisker plots for data sets, and use box-and-whisker plots to compare data sets. 

• Describe shapes of distributions, use them to determine which measures of center and variation best represent a data set, and compare shapes of distributions. 

• Make and use two-way tables to recognize associations and trends in data. 

•  Classify data as qualitative or quantitative, choose and create appropriate data displays, and analyze misleading data displays.

Students will:

• Evaluate and simplify expressions with exponents, including rational exponents. Find nth roots. 

•  Prove that exponential functions grow by equal factors over equal intervals. 

• Distinguish between linear and exponential functions. 

• Graph exponential functions and show key features of the graph. 

• Write exponential equations to model data. 

• Use, identify, interpret, and rewrite exponential growth and decay functions to solve real-life problems. 

• Combine standard function types using arithmetic operations. 

• Solve exponential equations algebraically and graphically. 

•  Create exponential equations and use them to solve real-life problems. 

•  Identify, extend, and graph geometric sequences, and write them as functions. 

• Write terms and rules of recursively defined sequences. 

• Translate between recursive and explicit rules. 

Students will:

• Interpret coefficients, constants, and factors of polynomial expressions. 

• Add, subtract, multiply, and divide polynomials. • Identify roots of polynomials when suitable factorizations are available. 

• Solve polynomial equations by factoring and using the Zero-Product Property. 

• Factor polynomials using the GCF, factor polynomials of the forms x2 + bx + c and ax2 + bx + c, and factor the difference of two squares and perfect square trinomials. 

• Identify ways to rewrite polynomial expressions. 

Students will:

• Create and graph quadratic functions of different forms. 

• Graph quadratic functions and show key features of the graph. 

• Translate, reflect, stretch, and shrink graphs of quadratic functions. 

•  For quadratic functions, interpret key features of graphs and tables. •

• Use intercept form to find zeros of quadratic functions. 

• Use factoring to write equivalent forms of a quadratic function to show zeros, extreme values, and symmetry of the graph. 

• Use characteristics to graph and write quadratic functions.

• Simplify expressions and perform operations using properties of radicals.  Determine whether the sum or product of two numbers is rational or irrational. 

•  Solve quadratic equations by graphing, using square roots, completing the square, and using the Quadratic Formula. 

•  For quadratic functions, interpret key features of graphs and tables. 

• Graph quadratic functions and show key features of the graph. • Write quadratic equations to model data. 

• Create quadratic equations and use them to solve real-life problems. 

• Find maximum and minimum values of quadratic functions by completing the square. 

•  Use completing the square to write equivalent forms of a quadratic function to show zeros, extreme values, and symmetry of the graph. 

•  Solve nonlinear systems of equations graphically and algebraically. 

• Solve nonlinear equations by graphing each side of the equation.

• Graph square root and cube root functions, and show key features of the graph. 

•  Translate, reflect, stretch, and shrink graphs of square root and cube root functions. 

• Create square root and cube root equations and use them to solve real-life problems.