NC Math 3 coverage: standard-by-standard Brilliant lesson mapping

This page maps the standards of NC Math 3 to the Brilliant lessons that teach them. Search by standard code or skill to find the closest match. A standard is listed only where Brilliant content fully or in part addresses the standard directly.

North Carolina teaches an integrated high school pathway rather than the Algebra 1 → Geometry → Algebra 2 sequence, so each of NC Math 1, 2, and 3 mixes algebra, functions, geometry, and statistics. This page covers NC Math 3 only; NC Math 1 and NC Math 2 have their own pages. Math 3 adds polynomial, rational, exponential, and logarithmic functions, circles, trigonometric functions, and statistical inference.

North Carolina writes its own codes, and they are not interchangeable with Common Core's even where the trailing part matches — NCDPI narrowed some standards, widened others, and folded several together. The codes below use dots throughout, so NCDPI's NC.M3.A-CED.1 appears here as NC.M3.A.CED.1.

Number and Quantity — The Complex Number System (NC.M3.N-CN)

NC standard	What the standard asks	Brilliant targeted skill
NC.M3.N.CN.9	Use the Fundamental Theorem of Algebra to determine the number and potential types of solutions for polynomial functions.	Polynomials — Relating roots and degree

Algebra — Seeing Structure in Expressions (NC.M3.A-SSE)

NC standard	What the standard asks	Brilliant targeted skill
NC.M3.A.SSE.2	Use the structure of an expression to identify ways to write equivalent expressions.	Logarithms — Change the base of a logarithm, Rewrite logarithms with the power rule, Rewrite logarithms with the product and quotient rules; Polynomials — Factoring out monomials, Factoring power differences, Solving by factoring; Equations and Curves — Rewriting equivalent equations, Simplifying by factoring, Simplifying rational expressions

Algebra — Arithmetic with Polynomial and Rational Expressions (NC.M3.A-APR)

NC standard	What the standard asks	Brilliant targeted skill
NC.M3.A.APR.3	Understand the relationship among factors of a polynomial expression, the solutions of a polynomial equation, and the zeros of a polynomial function.	Polynomials — Connecting roots and factors
NC.M3.A.APR.7.a	Understand the similarities between arithmetic with rational expressions and arithmetic with rational numbers: add and subtract two rational expressions a(x) and b(x) where the denominators of both are linear expressions.	Equations and Curves — Adding rational expressions

Algebra — Creating Equations (NC.M3.A-CED)

NC standard	What the standard asks	Brilliant targeted skill
NC.M3.A.CED.2	Create and graph equations in two variables to represent absolute value, polynomial, exponential, and rational relationships between quantities.	Equations and Curves — Completing hyperbola equations, Finding equation parameters
NC.M3.A.CED.3	Create systems of equations and/or inequalities to model situations in context.	Equations and Curves — Building equations from intersections

Algebra — Reasoning with Equations and Inequalities (NC.M3.A-REI)

NC standard	What the standard asks	Brilliant targeted skill
NC.M3.A.REI.1	Justify a solution method for equations and explain each step of the solving process using mathematical reasoning.	Logarithms — Check solutions of logarithmic equations
NC.M3.A.REI.11	Extend an understanding that the x-coordinates of the points where the graphs of two equations y = f(x) and y = g(x) intersect are the solutions of f(x) = g(x), and approximate solutions using graphing technology or successive approximations with a table of values.	Equations and Curves — Controlling the number of intersections, Finding intersection points, Solving systems and unions of curves

Functions — Interpreting Functions (NC.M3.F-IF)

NC standard	What the standard asks	Brilliant targeted skill
NC.M3.F.IF.2	Use function notation to evaluate piecewise-defined functions for inputs in their domains, and interpret statements that use function notation in terms of a context.	Introduction to Functions — Following conditional rules, Identifying conditional rules
NC.M3.F.IF.4	Interpret 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.	Trigonometric Functions — Identifying periodic function features, Predicting periodic values; Introduction to Functions — Reading discontinuous function graphs, Reading periodic function graphs
NC.M3.F.IF.7	Analyze piecewise, absolute value, polynomial, exponential, rational, and trigonometric (sine and cosine) functions 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.	Polynomials — Applying parity properties, Classifying even and odd powers, Deducing roots from symmetry, Determining sign between roots, Finding roots from graphs, Finding the y-intercept, Identifying dominant terms, Identifying sign regions, Identifying transformed features, Reading polynomial graphs, Recognizing polynomial symmetry, Using power function symmetry; Trigonometric Functions — Applying symmetry and periodicity rules; Equations and Curves — Determining domain and range, Finding asymptotes and holes, Finding hyperbola asymptotes, Finding hyperbola domain and range, Finding intercepts and sign regions, Finding vertical asymptotes, Identifying discontinuities and sign regions, Identifying power function graphs, Identifying symmetric points, Locating asymptotes, Matching rational functions to graphs, Reading intervals from hyperbolas, Reading values from graphs, Using hyperbola symmetry; Introduction to Functions — Evaluating floor and ceiling functions, Plotting conditional functions
NC.M3.F.IF.9	Compare 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).	Polynomials — Comparing power functions

Functions — Building Functions (NC.M3.F-BF)

NC standard	What the standard asks	Brilliant targeted skill
NC.M3.F.BF.1.a	Build polynomial and exponential functions with real solution(s) given a graph, a description of a relationship, or ordered pairs (including reading these from a table).	Polynomials — Matching equations to graphs, Matching graphs to factored form
NC.M3.F.BF.1.b	Build a new function, in terms of a context, by combining standard function types using arithmetic operations.	Introduction to Functions — Combining functions with operations
NC.M3.F.BF.3	Extend 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).	Equations and Curves — Applying reflections and equivalent stretches, Applying shifts and stretches, Combining multiple transformations, Identifying transformed graphs, Stretching and reflecting root graphs, Transforming hyperbola graphs, Transforming the square root graph, Writing transformations from constraints; Polynomials — Applying single transformations, Combining transformations; Introduction to Functions — Combining reflections and stretches, Reflecting functions across axes, Sliding Function Graphs, Stretching Function Graphs; Logarithms — Convert between log bases graphically, Transform a log graph using identities
NC.M3.F.BF.4.a	Understand the inverse relationship between exponential and logarithmic, quadratic and square root, and linear to linear functions, and use this relationship to solve problems using tables, graphs, and equations.	Logarithms — Convert between exponential and logarithmic form, Estimate a logarithm, Evaluate a logarithm exactly, Solve logarithmic equations; Equations and Curves — Evaluating square roots of squares, Evaluating squaring and square roots, Graphing the square root function
NC.M3.F.BF.4.b	Determine if an inverse function exists by analyzing tables, graphs, and equations.	Introduction to Functions — Determining invertibility
NC.M3.F.BF.4.c	If an inverse function exists for a linear, quadratic, and/or exponential function f, represent the inverse function f⁻¹ with a table, graph, or equation and use it to solve problems in terms of a context.	Introduction to Functions — Finding inverse functions

Functions — Linear, Quadratic, and Exponential Models (NC.M3.F-LE)

NC standard	What the standard asks	Brilliant targeted skill
NC.M3.F.LE.4	Use logarithms to express the solution to ab^(ct) = d, where a, b, c, and d are numbers, and evaluate the logarithm using technology.	Logarithms — Find the exponent in an exponential equation, Solve exponential equations with logarithms

Functions — Trigonometric Functions (NC.M3.F-TF)

NC standard	What the standard asks	Brilliant targeted skill
NC.M3.F.TF.1	Understand radian measure of an angle as: the ratio of the length of an arc on a circle subtended by the angle to its radius; a dimensionless measure of length defined by the quotient of arc length and radius that is a real number; and the domain for trigonometric functions.	Trigonometric Functions — Constructing angles in radians, Converting degrees and radians
NC.M3.F.TF.2.a	Build an understanding of trigonometric functions by using tables, graphs and technology to represent the cosine and sine functions: interpret the sine function as the relationship between the radian measure of an angle formed by the horizontal axis and a terminal ray on the unit circle and its y-coordinate.	Polar Coordinate Plane — Computing x and y from polar; Trigonometric Functions — Evaluating sine and cosine, Evaluating trig functions in radians, Reading sine from circular motion
NC.M3.F.TF.2.b	Build an understanding of trigonometric functions by using tables, graphs and technology to represent the cosine and sine functions: interpret the cosine function as the relationship between the radian measure of an angle formed by the horizontal axis and a terminal ray on the unit circle and its x-coordinate.	Trigonometric Functions — Reading cosine from circular motion
NC.M3.F.TF.5	Use 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.	Trigonometric Functions — Computing period from rotation speed, Finding transformed function periods, Identifying amplitude and midline, Matching functions with transformations, Transforming periodic functions

Geometry — Circles (NC.M3.G-C)

NC standard	What the standard asks	Brilliant targeted skill
NC.M3.G.C.5	Using similarity, demonstrate that the length of an arc s for a given central angle is proportional to the radius r of the circle; define radian measure of the central angle as the ratio of the length of the arc to the radius, s/r; find arc lengths and areas of sectors of circles.	Trigonometric Functions — Computing arc length, Constructing unit circle arcs; Polar Coordinate Plane — Computing arc lengths from angles, Computing arc lengths from fractions, Finding angles from arc lengths

Geometry — Expressing Geometric Properties with Equations (NC.M3.G-GPE)

NC standard	What the standard asks	Brilliant targeted skill
NC.M3.G.GPE.1	Derive the equation of a circle of given center and radius using the Pythagorean Theorem, and complete the square to find the center and radius of a circle given by an equation.	Coordinate Geometry — Using the circle equation at the origin, Using the general circle equation; Equations and Curves — Writing circle and ellipse equations

Geometry — Geometric Measurement and Dimension (NC.M3.G-GMD)

NC standard	What the standard asks	Brilliant targeted skill
NC.M3.G.GMD.3	Use the volume formulas for prisms, cylinders, pyramids, cones, and spheres to solve problems.	Geometry and Measurement — Find volume as area of the base times height, Use the one-third relationship for pyramids and cones

How this page is built

Every skill in the Brilliant math courses that reach North Carolina's high school mathematics is mapped to the single standard it aligns with most closely, using the North Carolina Standard Course of Study for Mathematics, adopted by the State Board of Education in June 2016, together with NCDPI's unpacking documents as the authority for what each standard requires and where its boundaries fall. Skills that build toward a standard without teaching its stated content are excluded, so a skill appears here only where it addresses the standard directly.

Each skill links to a lesson where it is practised, and hovering a skill shows the description learners see for it. This page is regenerated from the mapping, so it reflects the current state rather than a fixed snapshot.