1.1.1 Classify numbers (counting, whole, rational, irrational, imaginary, real).

1.1.2 Read, write, order, and use real numbers.

1.1.3 Order sets of numbers from least to greatest.

1.1.4 Perform operations on real numbers with respect to the algebraic order of operations.

1.1.5 Approximate the value of a radical

1.1.6 Simplify numerical radical expressions.

1.1.7 Use mental or paper-and-pencil calculations for simple cases or technology for complicated cases.

1.1.8 Use estimation and mental calculation strategies to determine the reasonableness of answers when solving problems involving real numbers.

1.1.9 Judge the effects of operations, powers, and roots on the magnitudes of quantities.

1.1.10 Evaluate an absolute value expression.

1.1.11 Scientific notation

1.1.12 Matrices: add, subtract, scalar, (inverse).

1.1.13 Use Venn diagrams to illustrate the relationships among sets of numbers.

1.1.14 Graph a set of numbers on a number line.

1.1.15 Use the number line to show the relationship between numbers.

1.1.16 Recognize, represent and translate among various forms of rational numbers including exponential, scientific, and calculator notation (give calculator examples).

Algebra Tiles

1.2.2 Evaluate an algebraic expression using mental math, paper-and-pencil, and technology (where appropriate).

1.2.3 Use field properties to simplify algebraic expressions.

1.2.4 Simplify polynomials.

1.2.5 Use geometric models to represent and explain algebraic relationships.

1.2.6 Write an algebraic equation given constant rate of change and a solution.

1.2.7 Write an algebraic expression given a table of values.

1.2.8 Write linear equation or inequality given two points, a point and a slope, a slope and the y-intercept.

1.2.9 Write linear equation or inequality given constant rate of change and a solution (contextual setting).

1.2.10 Write linear equation or inequality given a table of values.

1.2.11 Write linear equation or inequality given a set of data (experimentation, contextual setting).

1.2.12 Write a linear equation or inequality given a graph.

1.2.13 Write an absolute value equation or inequality given a contextual setting (tolerance).

1.2.14 Write an absolute value equation or inequality given a translation of y = …y = + k.

1.2.15 Write an absolute value equation or inequality given a reflection about the x-axis: y = -.

1.2.16 Write a system of equations in two variables given a contextual setting.

1.2.17 Write a quadratic equation as translation of y = x² … y = x (x – h)² + k; y = -x²

1.2.18 Determine if a given value is a solution to an equation or inequality.

1.2.19 Solve a linear equation or inequality, including non-integral coefficients by methods of mental math for one- and two-step equations.

1.2.20 Solve a linear equation or inequality, including non-integral coefficients by methods of paper and pencil (LCM, using multiple transformations, backtracking).

1.2.21 Solve a linear equation or inequality (including non-integral coefficients) by using technology (table, graphing, Boolean, SOLVE).

1.2.22 Solve a system of equations by methods of substitution.

1.2.23 Solve a system of equations by methods of linear combinations.

1.2.24 Solve a system of equations by methods of graphing (with and without technology).

1.2.25 Solve a system of equations by methods of matrices.

1.2.26 Solve quadratic equations by methods of mental math (x² + 4 = 20).

1.2.27 Solve quadratic equations by taking the square root (no linear term: (x + 3)² = 23; x² + 3 = 23)

1.2.28 Solve quadratic equations by methods of factoring (integer coefficients).

1.2.29 Solve quadratic equations by methods of quadratic formula (positive discriminant).

1.2.30 Solve quadratic equations by methods of graphing (with technology).

1.2.31 Plot ordered pairs in all four quadrants.

1.2.32 Graph linear equations and inequalities given a table of values.

1.2.33 Graph linear equations and inequalities given an equation.

1.2.34 Graph linear equations and inequalities given sufficient key information (slope and a point, intercepts, etc.)

1.2.35 Graph linear equations and inequalities using technology.

1.2.36 Graph absolute value equations in one variable with paper and pencil.

1.2.37 Graph absolute value equations given the equation result of a translation… y = ½ x - h½ + k.

1.2.38 Graph absolute value equations given the equation result of a reflection about the x-axis.

1.2.39 Solve compound linear equalities in one variable

1.2.40 Solve absolute value equations and inequalities in one variable

1.2.41 Graph a system of linear equations and inequalities (with and without technology).

1.2.42 Graph quadratic equations with paper and pencil (questions with no linear terms).

1.2.43 Graph quadratic equations as a result of a translation y = (x – h)² + k

Commutative, associative, distributive, inverse and identity elements.

Algebra Tiles

1.3.2 Determine the domain and range of a relation, and identify a meaningful set of numbers that the variable may represent effect of transformations.

1.3.3 Identify when a relation is a function.

1.3.4 Evaluate a function given a domain value using f(x) notation.

1.3.5 Solve problems involving direct and inverse variations.

1.3.6 Identify a function and make an input-output table for the function.

1.3.7 Calculate a constant rate of change from any form of a linear function.

1.3.8 Analyze and compare rates of change as exhibited by linear, quadratic, and exponential functions.

1.4.2 Translate between various representations of quadratic functions in standard form, vertex form, and function notation.

1.4.3 Apply the Rule of Three – represent the same mathematical concept using tables, graphs, and equations.

1.4.4 Use matrices to explore and model contextual situations.

1.5.2 Determine if a linear correlation exists, describe its relative strength, and decide whether the correlation is positive or negative.

1.5.3 Use paper-and-pencil methods to approximate an equation for a line of best fit.

1.5.4 Use technology to calculate the regression equation for quadratic or exponential related data.

1.5.5 Interpolate and extrapolate from tables, graphs, and regression equations.

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