Unit 1 - Real Numbers and Their Properties

Write algebraic expressions (A.SSE.1.a)

Simplify expressions involving exponents (A.SSE.1.a)

Use the order of operations to evaluate expressions (A.SSE.1.a)

Classify, graph, and compare real numbers (N.RN.3)

Find and estimate square roots (N.RN.3)

Identify and use properties of real numbers (N.RN.3)

Find sums, differences, products, and quotients of real numbers (N.RN.3)

Use the Distributive Property to simplify expressions (A.SSE.1.a)

Unit 2 - Polynomials And Factoring

Classify, add, and subtract polynomials (A.APR.1)

Multiply powers with the same base (N.RN.1)

Multiply a monomial by a polynomial (A.APR.1)

Factor a monomial from a polynomial (A.SSE.1.b)

Multiply two binomials or a binomial by a trinomial (A.APR.1)

Apply polynomials to area, surface area, and volume, including cylinders, cones, and spheres (7.G.4,5,6; 8.G.9)

Find the square of a binomial and to find the product of a sum and difference (A.APR.1)

Factor trinomials of the form x² + bx + c (A.SSE.1.a)

Factor trinomials of the form ax² + bx + c (A.SSE.1.a)

Factor perfect square trinomials and the differences of two squares (A.SSE.1.a)

Factor higher-degree polynomials by grouping (A.SSE.1.a)

Unit 3: Solving Equations

Solve one-step, two-step, and multi-step equations in one variable (A.CED.1, A.REI.1,3)

Solve equations with variables on both sides (A.CED.1, A.REI.1,3)

Identify equations that are identities or have no solutions (A.CED.1, A.REI.1,3)

Analyze the connection between solving linear equations to graphing systems (A.REI.11)

Rewrite and use literal equations and formulas (A.CED.4, A.REI.1, A.REI.3)

Convert units and rates (N.Q.2)

Solve and apply proportions (A.REI.3)

Find missing lengths in similar figures (A.CED.1, 7.G.1, 8.G.3,4,5)

Solve equations with angle sums of triangles and angles of parallel lines cut by a transversal (8.G.5)

Solve percent problems using proportions and percent equations (A.CED.1, A.REI.3, N.Q.1)

Find percent change (N.Q.3)

Find the relative error in linear/nonlinear measurements (N.Q.3)

Unit 4: Solving Inequalities

Write, graph, and identify solutions of inequalities (A.REI.3)

Use addition or subtraction to solve inequalities (A.REI.3, A.CED.1)

Use multiplication or division to solve inequalities(A.REI.3, A.CED.1, N.Q.2)

Solve multi-step inequalities (A.REI.3, A.CED.1)

Write sets and identify subsets (A.REI.3)

Find the complement of a set (A.REI.3)

Solve and graph inequalities contain the words “and” and “or” (A.REI.3, A.CED.1)

Find the unions and intersections of sets (A.CED.1)

Unit 5: Intro to Functions

Represent mathematical relationships using graphs and tables (F.IF.4)

Identify and represent patterns that describe linear functions (A.REI.10)

Identify and represent patterns that describe nonlinear functions (A.REI.10)

Graph equations that represent functions (F.IF.5)

To calculate and interpret the average rate of change of a function (F.IF.6)

Write equations that represent functions (N.Q.2)

Determine whether a relation is a function (F.IF.1)

Find domain and range and use function notation (F.IF.1)

Evaluate functions for inputs in their domains using function notation (F.IF.2)

Compare properties of different types of functions each represented in different ways (algebraically, graphically, numerically in tables, or by verbal descriptions) (F.IF.9, F.LE.1)

Identify the effect on the graph of replacing f(x) by f(x) +k, kf(x), f(kx) and f(x+k) for specific values of k (F.BF.3)

Unit 6: Linear Functions

Find rates of change from tables (F.LE.1.b)

Find slope (F.LE.1.b)

Write linear equations using slope-intercept form (F.IF.7.a)

Graph linear equations in slope-intercept form (F.IF.7.a)

Write and graph an equation of a direct variation (A.CED.2)

Represent arithmetic sequences using function notation (F.IF.3, F.LE.2)

Write and graph linear equations using point-slope form (F.LE.2)

Graph linear equations using intercepts (A.CED.2)

Write linear equations in standard form (A.CED.2)

Determine whether lines are parallel, perpendicular, or neither (G.GPE.5)

Write equations of parallel lines and perpendicular lines (G.GPE.5)

Find the inverse of a function (F.BF.4.a)

Represent data on two quantitative variables on a scatter plot and describe how the variables are related (S.ID.6)

Fit a function to the data of a scatter plot (S.ID.6)

Plot and analyze residuals of the fit of a function (S.ID.6)

Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data (S.ID.7)

Compute (using technology) and interpret the correlation coefficient of a linear fit (S.ID.7)

Distinguish between correlation and causation (S.ID.9)

Unit 7: Systems of Equations and Inequalities

Solve systems of equations by graphing (A.REI.6)

Analyze special systems (A.REI.6)

Solve systems of equations using substitution (A.REI.6)

Solve systems by adding or subtracting to eliminate a variable (A.REI.5)

Choose the best method for solving a system of linear equations (A.REI.6)

Graph linear inequalities in two variables (A.REI.12)

Use linear inequalities when modeling real-world situations (A.REI.12)

Solve systems of linear inequalities by graphing (A.REI.12)

Model real-world situations using systems of linear inequalities (A.REI.12)

Unit 8: Quadratic Functions and Equations

Graph quadratic functions of the form y = ax² and y = ax² + c (F.IF.7.a, A.CED.2)

Graph quadratic functions of the form y = ax² + bx + c (F.IF.7.a, A.CED.2)

Solve quadratic equations by graphing and using square roots (A.REI.4.b)

Solve quadratic equations by factoring (A.REI.4.b, A.SSE.3.a)

Solve quadratic equations using the quadratic formula (A.REI.4.a,b)

Solve quadratic equations by completing the square (A.SSE.3.b, A.REI.4,a,b)

Find the number of solutions of a quadratic equation (A.REI.4.b)

Tranform a quadratic equation from standard form to vertex form (A.REI.4.a)

Solve systems of linear and quadratic equations (A.REI.7)

Unit 9: Exponential Functions

Simplify expressions involving zero and negative exponents (N.RN.1)

Multiply powers with the same base (N.RN.1)

Raise a power to a power (N.RN.1)

Raise a product to a power (N.RN.1)

Divide powers with the same base (N.RN.1)

Raise a quotient to a power (N.RN.1)

To rewrite expressions involving radicals and rational exponents (N.RN.2)

Evaluate and graph exponential functions (F.LE.1.a,b,c)

Model exponential growth and decay (F.IF.7.e, F.IF.8.b, F.LE.1.c)

Write and use recursive formulas for geometric sequences (F.BF.1,2, F.LE.2)

Observe using graphs and tables that exponential growth functions will eventually exceed a quantity increasing linearly or quadratically (F.LE.A.3)

Interpret the parameters in an exponential function in terms of context (F.LE.B.5)

Use properties of exponents to transform expressions for exponential functions (A.SSE.3.c)

Unit 10: Radical Expressions and Equations

Unit 11: Descriptive Statistics

Draw informal comparative inferences about two populations (7.SP.3,4)

Investigate patterns of bivariate data (8.SP.1,2,3,4)

Represent data with plots on the real number line (dot plots, histograms, and box plots (S.ID.1)

Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets (S.ID.2)

Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers) (S.ID.3)

Summarize categorical data for two categories in two-way frequency tables (S.ID.5)

Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies) (S.ID.5)

Recognize possible associations and trends in data (S.ID.5)

Represent data on two quantitative variables on a scatter plot and describe how the variables are related (S.ID.6)

Fit a function to the data of a scatter plot (S.ID.6)

Plot and analyze residuals of the fit of a function (S.ID.6)

Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data (S.ID.7)

Compute (using technology) and interpret the correlation coefficient of a linear fit (S.ID.7)

Distinguish between correlation and causation (S.ID.9)

Unit 12: Rational Expressions and Equations

Solve problems using Pythagorean Theorem (8.G.SRT.6,7,8)

Identify right triangles (8.G.SRT.6,7,8)

Simplify sums, differences, products and quotients of radical expressions (A.REI.2)

Solve equations containing radicals (A.REI.2)

Identify extraneous solutions (A.REI.2)

Graph and translate square root functions (F.IF.7.b)