A2 Graph and write in symbols and in words the solution set for equations and inequalities involving integers and other real numbers.

A3 Demonstrate an understanding of the meaning and uses of irrational numbers.

A4 Demonstrate an understanding of the interrelationships of subsets of the set of real numbers.

A5 Compare and order real numbers.

B2 Add, subtract, multiply, and divide rational numbers in fractional and decimal forms using the most appropriate methods.

B4 Demonstrate an understanding of and apply the exponent laws for integral exponents.

B5 Model, solve, and create problems involving numbers expressed in scientific notation.

B8 Add and subtract polynomial expressions symbolically to solve problems.

B9 Factor algebraic expressions with common monomial factors, concretely, pictorially, and symbolically.

B10 Recognize that the dimensions of a rectangular area model of a polynomial are its factors.

B11 Find products of two monomials, a monomial and a polynomial, and two binomials concretely, pictorially, and symbolically.

B12 Find quotients of polynomials with monomial divisors.

B13 Evaluate polynomial expressions.

B14 Demonstrate an understanding of the applicability of commutative, associative, distributive, identity, and inverse properties to operations involving algebraic expressions.

C1 Represent patterns and relationships in a variety of formats and use these representations to predict and justify unknown values.

C2 Interpret graphs that represent linear and non-linear data.

C3 Construct and analyze tables and graphs to describe how changes in one quantity affect a related quantity.

C4 Determine the equations of lines by obtaining their slopes and y-intercepts from graphs and sketch graphs of equations using y-intercepts and slopes.

D1 Solve indirect measurement problems by connecting rates and slopes.

C6 Solve single-variable equations algebraically and verify the solutions.

C7 Solve first-degree single-variable inequalities algebraically, verify the solutions, and display them on number lines.

C8 Solve and create problems involving linear equations and inequalities.

D1 Solve indirect measurement problems by connecting rates and slopes.

D3 Relate the volumes of pyramids and cones to the volumes of corresponding prisms and cylinders.

D4 Measure, estimate, and calculate dimensions, volumes, and surface areas of pyramids, cones and spheres in problem situations.

D5 Demonstrate an understanding of and apply proportions within similar triangles.

Describe characteristics of possible relationships shown in scatterplots.

F2 Sketch lines of best fit and determine their equations.

F3 Sketch curves of best fit for relationships that appear to be non-linear.

F4 Select, defend, and use the most appropriate methods for displaying data.

F5 Draw inferences and make predictions based on data analysis and data displays.

F6 Demonstrate an understanding of the role of data management in society.

F7 Evaluate arguments and interpretations that are based on data analysis.

E1 Investigate and demonstrate an understanding of the minimum sufficient conditions to produce unique triangles.

E2 Investigate and demonstrate an understanding of the properties of and the minimum sufficient conditions to guarantee congruent triangles.

E3 Make informal deductions using congruent triangle and angle properties.

E4 Demonstrate an understanding of and apply the properties of similar triangles.

E5 Relate congruence and similarity of triangles.

E6 Use mapping notation to represent transformations of geometric figures, and interpret such notations.

E7 Analyze and represent combinations of transformations, using mapping notation.

E8 Investigate, determine, and apply the effects of transformations of geometric figures on congruence, similarity, and orientation.

A6 Represent problem situations using matrices.

B7 Model, solve, and create problems involving the matrix operations of addition, subtraction, and scalar multiplication.

G1 Make predictions of, and conduct experiments and simulations to determine, probabilities involving dependent and independent events.

G2 Determine theoretical probabilities of independent and dependent events.

G3 Compare experimental and theoretical probabilities.

G4 Recognize and explain why decisions based on probabilities may be combinations of theoretical calculations, experimental results, and subjective judgments.

**These outcomes occur throughout the year and are covered during the different units.

A1 Investigate problems involving square root and principal square root.

B1 Model, solve and create problems involving real numbers.

B3 Apply the order of operations in rational number computations.

B6 Determine the reasonableness of results in problem situations involving square roots, rational numbers, and numbers written in scientific notation

B15 Select and use appropriate strategies in problem situations.

C5 Explain the connections among different representations of patterns and relationships.

D2 Solve measurement problems involving conversion among SI units.

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