#### A.N: Number Sense and Operations

A.N.1: Identify and apply the properties of real numbers (closure, commutative, associative, distributive, identity, inverse) Note: Students do not need to identify groups and fields, but students should be engaged in the ideas.

A.N.3: Perform the four arithmetic operations using like and unlike radical terms and express the result in simplest form

A.N.4: Understand and use scientific notation to compute products and quotients of numbers

A.N.5: Solve algebraic problems arising from situations that involve fractions, decimals, percents (decrease/increase and discount), and proportionality/direct variation

A.N.6: Evaluate expressions involving factorial(s), absolute value(s), and exponential expression(s)

A.N.7: Determine the number of possible events, using counting techniques or the Fundamental Principle of Counting

A.N.8: Determine the number of possible arrangements (permutations) of a list of items

#### A.A: Algebra

A.A.1: Translate a quantitative verbal phrase into an algebraic expression

A.A.2: Write a verbal expression that matches a given mathematical expression

A.A.3: Distinguish the difference between an algebraic expression and an algebraic equation

A.A.4: Translate verbal sentences into mathematical equations or inequalities

A.A.5: Write algebraic equations or inequalities that represent a situation

A.A.6: Analyze and solve verbal problems whose solution requires solving a linear equation in one variable or linear inequality in one variable

A.A.7: Analyze and solve verbal problems whose solution requires solving systems of linear equations in two variables

A.A.10: Solve systems of two linear equations in two variables algebraically (See A.G.7)

A.A.12: Multiply and divide monomial expressions with a common base, using the properties of exponents Note: Use integral exponents only

A.A.13: Add, subtract, and multiply monomials and polynomials

A.A.14: Divide a polynomial by a monomial or binomial, where the quotient has no remainder

A.A.19: Identify and factor the difference of two perfect squares

A.A.20: Factor algebraic expressions completely, including trinomials with a lead coefficient of one (after factoring a GCF)

A.A.21: Determine whether a given value is a solution to a given linear equation in one variable or linear inequality in one variable

A.A.22: Solve all types of linear equations in one variable

A.A.23: Solve literal equations for a given variable

A.A.24: Solve linear inequalities in one variable

A.A.28: Understand the difference and connection between roots of a quadratic equation and factors of a quadratic expression

A.A.31: Find the intersection of sets (no more than three sets) and/or union of sets (no more than three sets)

A.A.33: Determine the slope of a line, given the coordinates of two points on the line

A.A.34: Write the equation of a line, given its slope and the coordinates of a point on the line

A.A.35: Write the equation of a line, given the coordinates of two points on the line

A.A.36: Write the equation of a line parallel to the x- or y-axis

A.A.37: Determine the slope of a line, given its equation in any form

A.A.39: Determine whether a given point is on a line, given the equation of the line

A.A.40: Determine whether a given point is in the solution set of a system of linear inequalities

A.A.41: Determine the vertex and axis of symmetry of a parabola, given its equation (See A.G.10)

A.A.42: Find the sine, cosine, and tangent ratios of an angle of a right triangle, given the lengths of the sides

A.A.43: Determine the measure of an angle of a right triangle, given the length of any two sides of the triangle

A.A.44: Find the measure of a side of a right triangle, given an acute angle and the length of another side

A.A.45: Determine the measure of a third side of a right triangle using the Pythagorean theorem, given the lengths of any two sides

#### A.G: Geometry

A.G.1: Find the area and/or perimeter of figures composed of polygons and circles or sectors of a circle Note: Figures may include triangles, rectangles, squares, parallelograms, rhombuses, trapezoids, circles, semi-circles, quarter-circles, and regular polygons (perimeter only).

A.G.2: Use formulas to calculate volume and surface area of rectangular solids and cylinders

A.G.3: Determine when a relation is a function, by examining ordered pairs and inspecting graphs of relations

A.G.4: Identify and graph linear, quadratic (parabolic), absolute value, and exponential functions

A.G.5: Investigate and generalize how changing the coefficients of a function affects its graph

A.G.6: Graph linear inequalities

A.G.7: Graph and solve systems of linear equations and inequalities with rational coefficients in two variables (See A.A.10)

A.G.9: Solve systems of linear and quadratic equations graphically Note: Only use systems of linear and quadratic equations that lead to solutions whose coordinates are integers.

#### A.M: Measurement

A.M.1: Calculate rates using appropriate units (e.g., rate of a space ship versus the rate of a snail)

A.M.2: Solve problems involving conversions within measurement systems, given the relationship between the units

#### A.S: Statistics and Probability

A.S.4: Compare and contrast the appropriateness of different measures of central tendency for a given data set

A.S.5: Construct a histogram, cumulative frequency histogram, and a box-and-whisker plot, given a set of data

A.S.6: Understand how the five statistical summary (minimum, maximum, and the three quartiles) is used to construct a box-and-whisker plot

A.S.7: Create a scatter plot of bivariate data

A.S.9: Analyze and interpret a frequency distribution table or histogram, a cumulative frequency distribution table or histogram, or a box-and-whisker plot

A.S.10: Evaluate published reports and graphs that are based on data by considering: experimental design, appropriateness of the data analysis, and the soundness of the conclusions

A.S.11: Find the percentile rank of an item in a data set and identify the point values for first, second, and third quartiles

A.S.12: Identify the relationship between the independent and dependent variables from a scatter plot (positive, negative, or none)

A.S.13: Understand the difference between correlation and causation

A.S.14: Identify variables that might have a correlation but not a causal relationship

A.S.17: Use a reasonable line of best fit to make a prediction involving interpolation or extrapolation

A.S.18: Know the definition of conditional probability and use it to solve for probabilities in finite sample spaces

A.S.20: Calculate the probability of an event and its complement

A.S.21: Determine empirical probabilities based on specific sample data

A.S.22: Determine, based on calculated probability of a set of events, if:

A.S.22.a: some or all are equally likely to occur

A.S.23: Calculate the probability of:

A.S.23.a: a series of independent events

A.S.23.b: a series of dependent events

A.S.23.d: two events that are not mutually exclusive

Correlation last revised: 5/21/2018

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