ACT College and Career Readiness Standards - Mathematics (6-12)
N 403: Comprehend the concept of length on the number line, and find the distance between two points
N 503: Work with numerical factors
AF303: Relate a graph to a situation described qualitatively in terms of familiar
properties such as before and after, increasing and decreasing, higher and
lower
AF403: Relate a graph to a situation described in terms of a starting value and
an additional amount per unit (e.g., unit cost, weekly growth)
AF502: Build functions and write expressions, equations, or inequalities with a single variable for common pre-algebra settings (e.g., rate and distance problems and problems that can be solved by using proportions)
AF503: Match linear equations with their graphs in the coordinate plane
AF604: Given an equation or function, find an equation or function whose graph is a translation by a specified amount up or down
A406: Exhibit knowledge of slope
A511: Work with scientific notation
A514: Determine the slope of a line from an equation
F702: Build functions for relations that are exponential
G509: Express the sine, cosine, and tangent of an angle in a right triangle as a ratio of given side lengths
G511: Find the midpoint of a line segment
G604: Apply basic trigonometric ratios to solve right-triangle problems
G701: Use relationships among angles, arcs, and distances in a circle
G703: Use scale factors to determine the magnitude of a size change
S506: Recognize that when a statistical model is used, model values typically differ from actual values
Oklahoma Academic Standards Mathematics (8th Grade)
PA.N.1.3: Multiply and divide numbers expressed in scientific notation and express the answer in scientific notation.
PA.A.2.1: Represent linear functions with tables, verbal descriptions, symbols, and graphs; translate from one representation to another.
PA.A.2.2: Identify, describe, and analyze linear relationships between two variables.
PA.A.2.3: Identify graphical properties of linear functions, including slope and intercepts. Know that the slope equals the rate of change, and that the y-intercept is zero when the function represents a proportional relationship.
PA.A.2.4: Predict the effect on the graph of a linear function when the slope or y-intercept changes. Use appropriate tools to examine these effects.
Oklahoma Academic Standards Mathematics (Algebra 1)
A1.F.1.5: Interpret graphs as being discrete or continuous.
A1.F.2.1: Distinguish between linear and nonlinear (including exponential) functions. Understand that linear functions grow by equal intervals (arithmetic) and that exponential functions grow by equal factors over equal intervals (geometric).
A1.F.2.2: Recognize the parent functions f(x) = x and f(x) = |x|. Predict the effects of vertical and horizontal transformations f(x + c) and f(x) + c, algebraically and graphically.
A1.D.1.2: Collect data and analyze scatter plots for patterns, linearity, and outliers.
A1.D.1.3: Make predictions based upon the linear regression, and use the correlation coefficient to assess the reliability of those predictions using graphing technology.
Oklahoma Academic Standards Mathematics (Algebra 2)
A2.N.2.1: Use matrices to organize and represent data. Identify the order (dimension) of a matrix.
A2.N.2.2: Use addition, subtraction, and scalar multiplication of matrices to solve problems.
A2.A.1.2: Use mathematical models to represent exponential relationships, such as compound interest, depreciation, and population growth. Solve these equations algebraically or graphically (including graphing calculator or other appropriate technology).
A2.A.1.4: Solve polynomial equations with real roots using various methods (e.g., polynomial division, synthetic division, using graphing calculators or other appropriate technology).
A2.F.1.2: Identify the parent forms of exponential, radical (square root and cube root only), quadratic, and logarithmic functions. Predict the effects of transformations [f(x + c), f(x) + c, f(cx), and cf(x)] algebraically and graphically.
A2.F.1.3: Graph a quadratic function. Identify the domain, range, x- and y-intercepts, maximum or minimum value, axis of symmetry, and vertex using various methods and tools that may include a graphing calculator or appropriate technology.
A2.F.1.5: Analyze the graph of a polynomial function by identifying the domain, range, intercepts, zeros, relative maxima, relative minima, and intervals of increase and decrease.
A2.F.1.6: Graph a rational function and identify the domain (including holes), range, x- and y-intercepts, vertical and horizontal asymptotes, using various methods and tools that may include a graphing calculator or other appropriate technology (excluding slant or oblique asymptotes).
A2.F.2.4: Apply the inverse relationship between exponential and logarithmic functions to convert from one form to another.
Oklahoma Academic Standards Mathematics (Geometry)
G.2D.1.6: Use coordinate geometry and algebraic reasoning to represent and analyze line segments and polygons, including determining lengths,
midpoints, and slopes of line segments.
G.2D.1.11: Use numeric, graphic, and algebraic representations of transformations in two dimensions (e.g., reflections, translations, dilations, rotations
about the origin by multiples of 90 °) to solve problems involving figures on a coordinate plane and identify types of symmetry.
G.C.1.1: Apply the properties of circles to solve problems involving circumference and area, using approximate values and in terms of pi, using algebraic
and logical reasoning.
G.RT.1.3: Use the definition of the trigonometric functions to determine the sine, cosine, and tangent ratio of an acute angle in a right triangle. Apply the
inverse trigonometric functions to find the measure of an acute angle in right triangles.
Oklahoma Academic Standards Mathematics (Precalculus)
PC.F.1.2: Sketch the graph of a function that models a relationship between two quantities, identifying key features.
PC.CS.1.2: Identify key features of conic sections (foci, directrix, radii, axes, asymptotes, center) graphically and algebraically.
PC.CS.1.3: Sketch a graph of a conic section using its key features.
PC.CS.1.4: Write the equation of a conic section given its key features.
PC.T.1.3: Find the length of an arc and the area of a sector on a circle.
PC.T.3.1: Algebraically manipulate the structure of a trigonometric expression to identify ways to rewrite it.
PC.T.3.3: Graphically and algebraically verify solutions to trigonometric equations.
Oklahoma Academic Standards for Mathematics (Grade 8)
PA.A.1.1: Recognize that a function is a relationship between an independent variable and a dependent variable in which the value of the independent variable determines the value of the dependent variable.
PA.A.1.2: Use linear functions to represent and explain real-world and mathematical situations.
PA.GM.1.1: Informally justify the Pythagorean Theorem using measurements, diagrams, or dynamic software and use the Pythagorean Theorem to solve problems in two and three dimensions involving right triangles.
PA.D.1.1: Describe the impact that inserting or deleting a data point has on the mean and the median of a data set. Know how to create data displays using a spreadsheet and use a calculator to examine this impact.
PA.D.1.2: Explain how outliers affect measures of central tendency.
PA.D.1.3: Collect, display and interpret data using scatterplots. Use the shape of the scatterplot to informally estimate a line of best fit, make statements about average rate of change, and make predictions about values not in the original data set. Use appropriate titles, labels and units.
PA.D.2.1: Calculate experimental probabilities and represent them as percents, fractions and decimals between 0 and 1 inclusive. Use experimental probabilities to make predictions when actual probabilities are unknown.
Oklahoma Academic Standards for Mathematics (Grades 9, 10, 11, 12)
A1.A.2.1: Represent relationships in various contexts with linear inequalities; solve the resulting inequalities, graph on a coordinate plane, and interpret the solutions.
A1.A.4.4: Translate between a graph and a situation described qualitatively.
A1.F.1.2: Identify the dependent and independent variables as well as the domain and range given a function, equation, or graph. Identify restrictions on the domain and range in real-world contexts.
A1.F.2.1: Distinguish between linear and nonlinear (including exponential) functions arising from real-world and mathematical situations that are represented in tables, graphs, and equations. Understand that linear functions grow by equal intervals and that exponential functions grow by equal factors over equal intervals.
A1.D.1.2: Collect data and use scatterplots to analyze patterns and describe linear relationships between two variables. Using graphing technology, determine regression lines and correlation coefficients; use regression lines to make predictions and correlation coefficients to assess the reliability of those predictions.