Oklahoma Academic Standards
OK.PA. Pre-Algebra (PA)
PA.A. Algebraic Reasoning & Algebra (A)
PA.A.1. Understand the concept of function in real-world and mathematical situations, and distinguish between linear and nonlinear functions.
PA.A.1.2. Use linear functions to represent and explain real-world and mathematical situations.
PA.A.2. Recognize linear functions in real-world and mathematical situations; represent linear functions and other functions with tables, verbal descriptions, symbols, and graphs; solve problems involving linear functions and interpret results in the original context.
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.
OK.A1. Algebra 1 (A1)
A1.A. Algebraic Reasoning & Algebra (A)
A1.A.4. Analyze mathematical change involving linear equations in real-world and mathematical problems.
A1.A.4.1. Calculate and interpret slope and the x- and y-intercepts of a line using a graph, an equation, two points, or a set of data points to solve real-world and mathematical problems.
A1.A.4.3. Express linear equations in slope-intercept, point-slope, and standard forms and convert between these forms. Given sufficient information (slope and y-intercept, slope and one-point on the line, two points on the line, x- and y-intercept, or a set of data points), write the equation of a line.
A1.A.4.4. Translate between a graph and a situation described qualitatively.
OK.A2. Algebra 2 (A2)
A2.F. Functions (F)
A2.F.1. Understand functions as descriptions of covariation (how related quantities vary together).
A2.F.1.3. Graph a quadratic function. Identify the 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.1.4. Graph exponential and logarithmic functions. Identify asymptotes and x- and y-intercepts using various methods and tools that may include graphing calculators or other appropriate technology. Recognize exponential decay and growth graphically and algebraically.
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 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 and holes.)
A2.F.1.7. Graph a radical function (square root and cube root only) and identify the x- and y-intercepts using various methods and tools that may include a graphing calculator or other appropriate technology.
A2.F.1.8. Graph piecewise functions with no more than three branches (including linear, quadratic, or exponential branches) and analyze the function by identifying the domain, range, intercepts, and intervals for which it is increasing, decreasing, and constant.