BetterGrades Precalculus · Course map
Precalculus: Functions, Models, and Change
A continuous Precalculus course built around functions, multiple representations, exact reasoning, modeling, and change.
Continuous course
Functions, models, and change
Open a unit to follow its lesson sequence. Each lesson now combines a conceptual reading, a reusable method, worked reasoning, mathematical figures, and practice that asks for more than recall.
Unit 1Algebra and Function ReadinessA readiness diagnostic separates prerequisite strands so that a learner receives targeted repair rather than one vague total score.8 lessons
Algebra and Function Readiness
A readiness diagnostic separates prerequisite strands so that a learner receives targeted repair rather than one vague total score.
Open the unit mapUnit 2Functions and Multiple RepresentationsAn input is supplied to a relationship, an output is determined by it, and parameters remain fixed for one selected model.10 lessons
Functions and Multiple Representations
An input is supplied to a relationship, an output is determined by it, and parameters remain fixed for one selected model.
Open the unit mapUnit 3Transformations and Function OperationsA parent function is a convenient reference member identified by domain, range, symmetry, endpoints, asymptotes, and rate patterns.10 lessons
Transformations and Function Operations
A parent function is a convenient reference member identified by domain, range, symmetry, endpoints, asymptotes, and rate patterns.
Open the unit mapUnit 4Composition, Inverses, and ModelingComposition represents an ordered chain in which the inner function acts first.9 lessons
Composition, Inverses, and Modeling
Composition represents an ordered chain in which the inner function acts first.
Open the unit mapUnit 5Polynomial FunctionsPower functions f(x)=ax^p connect positive, negative, and fractional exponent behavior.13 lessons
Polynomial Functions
Power functions f(x)=ax^p connect positive, negative, and fractional exponent behavior.
Open the unit mapUnit 6Rational FunctionsA rational function P/Q excludes every real input where the original denominator Q is zero.11 lessons
Rational Functions
A rational function P/Q excludes every real input where the original denominator Q is zero.
Open the unit mapUnit 7Exponential and Logarithmic FunctionsConstant first differences indicate additive linear change; constant ratios indicate multiplicative exponential change.13 lessons
Exponential and Logarithmic Functions
Constant first differences indicate additive linear change; constant ratios indicate multiplicative exponential change.
Open the unit mapUnit 8Systems, Matrices, and Multivariable ModelsA system solution satisfies every equation simultaneously and appears graphically as a common intersection.10 lessons
Systems, Matrices, and Multivariable Models
A system solution satisfies every equation simultaneously and appears graphically as a common intersection.
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