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NCMath
NC Math 3
Strands
Number and Quantity1Algebra13Functions13Geometry1 guideStatistics and Probability5
Functions
13 standards
Interpreting Functions
Understand the concept of a function and use function notation.
NC.M3.F-IF.1Extend the concept of a function by recognizing that trigonometric ratios are functions of angle measure.Coming soonNC.M3.F-IF.2Use function notation to evaluate piecewise defined functions for inputs in their domains, and interpret statements that use function notation in terms of a context.Coming soon
Interpreting Functions
Interpret functions that arise in applications in terms of the context.
NC.M3.F-IF.4Interpret key features of graphs, tables, and verbal descriptions in context to describe functions that arise in applications relating two quantities to include periodicity and discontinuities.Coming soon
Interpreting Functions
Analyze functions using different representations.
NC.M3.F-IF.7Analyze piecewise, absolute value, polynomials, exponential, rational, and trigonometric functions (sine and cosine) using different representations to show key features of the graph, by hand in simple cases and using technology for more complicated cases, including: domain and range; intercepts; intervals where the function is increasing, decreasing, positive, or negative; rate of change; relative maximums and minimums; symmetries; end behavior; period; and discontinuities.Coming soonNC.M3.F-IF.9Compare key features of two functions using different representations by comparing properties of two different functions, each with a different representation (symbolically, graphically, numerically in tables, or by verbal descriptions).Coming soon
Building Functions
Build a function that models a relationship between two quantities.
NC.M3.F-BF.1Write a function that describes a relationship between two quantities.Coming soon
Building Functions
Build new functions from existing functions.
NC.M3.F-BF.3Extend an understanding of the effects on the graphical and tabular representations of a function when replacing f(x) with k ∙f(x), f(x) + k, f(x + k) to include f(k ∙ x) for specific values of k (both positive and negative).Coming soonNC.M3.F-BF.4Find an inverse function.Coming soon
Linear, Quadratic, and Exponential Models
Construct and compare linear and exponential models and solve problems.
NC.M3.F-LE.3Compare the end behavior of functions using their rates of change over intervals of the same length to show that a quantity increasing exponentially eventually exceeds a quantity increasing as a polynomial function.Coming soonNC.M3.F-LE.4Use logarithms to express the solution to ab^(ct) = d where a, b, c, and d are numbers and evaluate the logarithm using technology.Coming soon
Trigonometric Functions
Extend the domain of trigonometric functions using the unit circle.
NC.M3.F-TF.1Understand radian measure of an angle as:Coming soonNC.M3.F-TF.2Build an understanding of trigonometric functions by using tables, graphs and technology to represent the cosine and sine functions.Coming soon
Trigonometric Functions
Model periodic phenomena with trigonometric functions.
NC.M3.F-TF.5Use technology to investigate the parameters, a, b, and h of a sine function, f(x) = a ∙ sin(b ∙ x) + h, to represent periodic phenomena and interpret key features in terms of a context.Coming soon
a devpromptu thing