NC Math 1 coverage: standard-by-standard Brilliant lesson mapping

This page maps the standards of NC Math 1 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 1 only; NC Math 2 and NC Math 3 have their own pages. Math 1 is broadly the linear and exponential half of algebra, plus coordinate geometry and two-variable statistics.

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.M1.A-CED.1 appears here as NC.M1.A.CED.1.

Number and Quantity — The Real Number System (NC.M1.N-RN)

NC standard	What the standard asks	Brilliant targeted skill
NC.M1.N.RN.2	Rewrite algebraic expressions with integer exponents using the properties of exponents.	Exponents and Radicals — Applying the power rule for exponents, Applying the product rule for exponents, Applying the quotient rule for exponents, Combining exponent rules to simplify, Rewriting with negative exponents, Simplifying multi-base quotients, Simplifying negative exponents in denominators, Simplifying products with exponent zero, Simplifying with negative exponents; Exponential Functions — Express decay with a negative exponent; Equations and Curves — Simplifying with exponent rules, Simplifying with exponent rules

Algebra — Seeing Structure in Expressions (NC.M1.A-SSE)

NC standard	What the standard asks	Brilliant targeted skill
NC.M1.A.SSE.1.a	Identify and interpret parts of a linear, exponential, or quadratic expression, including terms, factors, coefficients, and exponents.	Exponential Functions — Evaluate an exponential expression
NC.M1.A.SSE.3	Write an equivalent form of a quadratic expression ax² + bx + c, where a is an integer, by factoring to reveal the solutions of the equation or the zeros of the function the expression defines.	Quadratics — Completing factors with negatives, Completing partial factorizations, Factoring signed quadratics fully, Factoring simple quadratics, Factoring with leading coefficients, Factoring with negative constants, Recognizing perfect square patterns

Algebra — Arithmetic with Polynomial Expressions (NC.M1.A-APR)

NC standard	What the standard asks	Brilliant targeted skill
NC.M1.A.APR.1	Build an understanding that operations with polynomials are comparable to operations with integers by adding and subtracting quadratic expressions and by adding, subtracting, and multiplying linear expressions.	Quadratics — Combining like terms, Combining signed terms, Combining terms with coefficients, Determining signs in products, Expanding binomial products, Finding constant terms, Finding linear terms, Multiplying with area models, Multiplying with negative numbers; Visual Algebra — Identifying equivalent expressions, Writing equivalent expressions
NC.M1.A.APR.3	Understand the relationships among the factors of a quadratic expression, the solutions of a quadratic equation, and the zeros of a quadratic function.	Quadratics — Connecting intercepts to factors

Algebra — Creating Equations (NC.M1.A-CED)

NC standard	What the standard asks	Brilliant targeted skill
NC.M1.A.CED.1	Create equations and inequalities in one variable that represent linear, exponential, and quadratic relationships and use them to solve problems.	Linear Equations — Comparing deals with percentages, Modeling with linear equations
NC.M1.A.CED.2	Create and graph equations in two variables to represent linear, exponential, and quadratic relationships between quantities.	Linear Relationships — Graphing lines from intercepts, Graphing real-world relationships, Writing standard form equations
NC.M1.A.CED.3	Create systems of linear equations and inequalities to model situations in context.	Linear Systems — Writing equations from constraints, Writing inequality systems; Linear Relationships — Writing linear inequalities

Algebra — Reasoning with Equations and Inequalities (NC.M1.A-REI)

NC standard	What the standard asks	Brilliant targeted skill
NC.M1.A.REI.3	Solve linear equations and inequalities in one variable.	Linear Equations — Combining fractional terms, Combining like terms to solve, Combining negatives to solve, Dividing by negatives in inequalities, Solving compound inequalities, Solving equations by distributing, Solving equations by factoring, Solving equations with fractions, Solving equations with parentheses, Solving for negative answers, Solving multi-step inequalities, Solving multi-step negative inequalities, Solving with reciprocals, Solving with subtracted variables, Solving with variables on both sides
NC.M1.A.REI.4	Solve for the real solutions of quadratic equations in one variable by taking square roots and factoring.	Quadratics — Isolating squared variables, Solving equations by factoring, Solving shifted square equations, Solving with square roots
NC.M1.A.REI.6	Use tables, graphs, or algebraic methods (substitution and elimination) to find approximate or exact solutions to systems of linear equations and interpret solutions in terms of a context.	Linear Systems — Counting solutions to a system, Eliminating by adding equations, Finding solutions by graphing, Scaling equations to eliminate, Solving systems by graphing; Solving Equations — Multiplying to eliminate, Solving by subtracting equations, Solving systems by combining, Solving systems by substitution, Solving with substitution, Substituting known values
NC.M1.A.REI.10	Understand that the graph of a two-variable equation represents the set of all solutions to the equation.	Equations and Curves — Analyzing implicit equations, Evaluating equations at points, Finding points on a curve, Matching equations to graphs, Matching equations to graphs, Verifying points on curves; Linear Relationships — Graphing from point-slope form; Quadratics — Reading solutions from graphs; Linear Systems — Testing points in equations
NC.M1.A.REI.11	Build an understanding of why the x-coordinates of the points where the graphs of two linear, exponential, and/or quadratic equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x), and approximate solutions using graphing technology or successive approximations with a table of values.	Exponential Functions — Compare two exponential functions, Graph and compare compound interest functions
NC.M1.A.REI.12	Represent the solutions of a linear inequality or a system of linear inequalities graphically as a region of the plane.	Linear Systems — Checking points in inequalities, Classifying inequality solutions, Graphing inequality constraints, Graphing inequality solutions, Identifying inequality solutions; Coordinate Plane — Combining two inequalities, Identifying strip regions, Shading regions for inequalities; Linear Relationships — Graphing linear inequalities, Identifying inequality solutions

Functions — Interpreting Functions (NC.M1.F-IF)

NC standard	What the standard asks	Brilliant targeted skill
NC.M1.F.IF.1	Build an understanding that a function from one set (the domain) to another (the range) assigns to each element of the domain exactly one element of the range, recognizing that if f is a function and x is in its domain then f(x) denotes the output of f at x, and that the graph of f is the graph of y = f(x).	Introduction to Functions — Applying the vertical line test, Recognizing non-functions
NC.M1.F.IF.2	Use function notation to evaluate linear, quadratic, and exponential functions for inputs in their domains, and interpret statements that use function notation in terms of a context.	Exponential Functions — Evaluate an exponential at negative x-values, Evaluate an exponential at non-integer x-values; Linear Relationships — Evaluating linear equations, Reading linear patterns; Quadratics — Evaluating quadratic equations, Plotting points on parabolas; Introduction to Functions — Following function rules, Identifying function rules, Matching input-output pairs
NC.M1.F.IF.4	Interpret key features of graphs, tables, and verbal descriptions in context to describe functions that arise in applications relating two quantities, including intercepts; intervals where the function is increasing, decreasing, positive, or negative; and maximums and minimums.	Linear Relationships — Finding starting values, Interpreting intercepts; Introduction to Functions — Identifying function intervals, Reading continuous function graphs
NC.M1.F.IF.5	Interpret a function in terms of the context by relating its domain and range to its graph and, where applicable, to the quantitative relationship it describes.	Introduction to Functions — Finding function domains, Finding function ranges
NC.M1.F.IF.6	Calculate and interpret the average rate of change over a specified interval for a function presented numerically, graphically, and/or symbolically.	Linear Relationships — Calculating rates of change, Computing slope, Finding constant change
NC.M1.F.IF.7	Analyze linear, exponential, and quadratic functions by generating different representations, by hand in simple cases and using technology for more complicated cases, to show key features including domain and range; rate of change; intercepts; intervals where the function is increasing, decreasing, positive, or negative; maximums and minimums; and end behavior.	Linear Relationships — Graphing lines from slope; Introduction to Functions — Plotting numeric functions
NC.M1.F.IF.8.a	Rewrite a quadratic function to reveal and explain different key features of the function.	Quadratics — Graphing by factoring
NC.M1.F.IF.8.b	Interpret and explain growth and decay rates for an exponential function.	Exponential Functions — Identify exponential decay from a dot pattern, Identify exponential growth from a dot pattern, Write a compound growth or decay expression

Functions — Building Functions (NC.M1.F-BF)

NC standard	What the standard asks	Brilliant targeted skill
NC.M1.F.BF.1.a	Build linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two ordered pairs (including reading these from a table).	Exponential Functions — Build a decay function with a fractional base, Build an exponential function from non-integer points, Build an exponential function from plotted points, Build an exponential function over negative domain, Deduce an exponential function from two points, Find the base of an exponential function, Set the coefficient of an exponential function; Visual Algebra — Building expressions from rate and start, Building sequences from rules, Writing exponential expressions, Writing expressions for each shape, Writing rules for growing patterns, Writing separate even and odd rules; Introduction to Functions — Writing numeric function rules; Linear Relationships — Writing point-slope equations, Writing slope-intercept equations
NC.M1.F.BF.1.b	Build a function that models a relationship between two quantities by combining linear, exponential, or quadratic functions with addition and subtraction, or two linear functions with multiplication.	Visual Algebra — Breaking patterns into parts, Combining pattern expressions, Seeing squares inside patterns, Writing expressions as length times width

Functions — Linear, Quadratic, and Exponential Models (NC.M1.F-LE)

NC standard	What the standard asks	Brilliant targeted skill
NC.M1.F.LE.1	Identify situations that can be modeled with linear and exponential functions, and justify the most appropriate model for a situation based on the rate of change over equal intervals.	Visual Algebra — Describing growth that speeds up, Identifying types of growth; Linear Relationships — Recognizing linear relationships
NC.M1.F.LE.3	Compare the end behavior of linear, exponential, and quadratic functions using graphs and tables to show that a quantity increasing exponentially eventually exceeds a quantity increasing linearly or quadratically.	Exponential Functions — Compare exponential growth to linear growth, Compare exponential growth to quadratic growth

Geometry — Expressing Geometric Properties with Equations (NC.M1.G-GPE)

NC standard	What the standard asks	Brilliant targeted skill
NC.M1.G.GPE.4	Use coordinates to solve geometric problems involving polygons algebraically: compute perimeters of polygons and areas of triangles and rectangles, and verify algebraically that a given set of points produces a particular type of triangle or quadrilateral.	Coordinate Geometry — Calculating distance from coordinates, Calculating rectangle area, Calculating right triangle area, Finding compound shape area, Identifying equivalent area expressions, Writing area expressions with variables, Writing distance expressions with variables; Coordinate Plane — Measuring gridline distance
NC.M1.G.GPE.5	Use coordinates to prove the slope criteria for parallel and perpendicular lines and use them to solve problems: determine if two lines are parallel, perpendicular, or neither, and find the equation of a line parallel or perpendicular to a given line through a given point.	Linear Relationships — Finding perpendicular slopes, Writing parallel line equations, Writing perpendicular line equations

Statistics and Probability — Interpreting Categorical and Quantitative Data (NC.M1.S-ID)

NC standard	What the standard asks	Brilliant targeted skill
NC.M1.S.ID.1	Use technology to represent data with plots on the real number line (histograms and box plots).	Exploring Data Visually — Reading histograms
NC.M1.S.ID.2	Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets, and interpret differences in shape, center, and spread in context.	Exploring Data Visually — Compare boxplots across datasets; Everyday Statistics — Comparing data sets with box plots; Regression — Detecting hidden groups in data
NC.M1.S.ID.3	Examine the effects of extreme data points (outliers) on shape, center, and/or spread.	Everyday Statistics — Seeing how outliers affect the mean, Spotting outliers, Using the outlier rule
NC.M1.S.ID.6.a	Represent data on two quantitative variables on a scatter plot and describe how the variables are related; fit a least squares regression line to linear data using technology and use the fitted function to solve problems.	Exploring Data Visually — Describe the relationship in a scatter plot, Describing how two things relate; Regression — Fitting a line to data, Modeling one subgroup at a time
NC.M1.S.ID.6.b	Assess the fit of a linear function by analyzing residuals.	Regression — Measuring how well a model fits
NC.M1.S.ID.6.c	Fit a function to exponential data using technology and use the fitted function to solve problems.	Regression — Transforming variables to straighten data
NC.M1.S.ID.7	Interpret in context the rate of change and the intercept of a linear model; use the linear model to interpolate and extrapolate predicted values, and assess the validity of a predicted value.	Regression — Predicting from a model equation, Predicting from a regression line
NC.M1.S.ID.8	Analyze patterns and describe relationships between two variables in context; using technology, determine the correlation coefficient of bivariate data and interpret it as a measure of the strength and direction of a linear relationship; use a scatter plot, correlation coefficient, and residual plot to determine the appropriateness of a linear model.	Regression — Checking the groups inside data, Choosing the best predictor, Interpreting correlations in context, Reading correlation from a scatter plot, Spotting nonlinear relationships; Exploring Data Visually — Judging how strongly things relate

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.