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Public learning track
Graphs and Transformations of Trigonometric Functions
11th Grade · Track 580 of 698 · 8 lessons
8 lessons
Goal
Analyze, graph, and interpret the primary and reciprocal trigonometric functions under vertical and horizontal transformations.
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Graphing Parent Sine and Cosine Functions
Public learning track
Inverse Trigonometric Functions and Graphs
11th Grade · Track 581 of 698 · 7 lessons
7 lessons
Goal
Understand domain restrictions, graph inverse trigonometric functions, and evaluate compositions of trigonometric and inverse trigonometric functions.
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Restricting Domains for Trigonometric Invertibility
Public learning track
Periodic Modeling and Trigonometric Applications
11th Grade · Track 582 of 698 · 6 lessons
6 lessons
Goal
Model real-world cyclical and oscillatory phenomena using sinusoidal functions and solve applied contextual problems using inverse trigonometric functions.
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Modeling Tidal and Water Depth Cycles with Sinusoids
Public learning track
Solving Trigonometric Equations and Systems
11th Grade · Track 583 of 698 · 8 lessons
8 lessons
Goal
Solve linear, quadratic, multiple-angle, and harmonic trigonometric equations both algebraically and graphically over defined domains.
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Finding All Solutions to Trigonometric Equations on the Unit Circle
Public learning track
Trigonometric Identities and Harmonic Forms
11th Grade · Track 584 of 698 · 8 lessons
8 lessons
Goal
Prove and apply fundamental, Pythagorean, compound-angle, and double-angle identities, and convert linear combinations into harmonic form.
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Proving Pythagorean and Reciprocal Identities
Public learning track
Advanced Function Foundations, Domain Analysis, and Notation
11th Grade · Track 585 of 698 · 6 lessons
6 lessons
Goal
Master the formal mapping definition of functions, algebraic and contextual domain-range analysis, and advanced function notation.
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Formal Definition of Functions as Mappings and Relations
Public learning track
Advanced Linear Coordinate Geometry and Distance Optimization
11th Grade · Track 586 of 698 · 8 lessons
8 lessons
Goal
Master linear equations in general and point-slope forms, calculate perpendicular distances, analyze families of lines, and solve geometric optimization problems on the Cartesian plane.
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Converting Between Point-Slope and General Form of Linear Equations
Public learning track
Comparing Linear, Polynomial, and Exponential Growth
11th Grade · Track 587 of 698 · 6 lessons
6 lessons
Goal
Prove and compare the growth behaviors of linear, polynomial, and exponential functions over equal intervals and for large values of x.
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Proving Linear Functions Grow by Equal Differences Over Equal Intervals
Public learning track
First Principles and Foundations of Derivatives
11th Grade · Track 588 of 698 · 7 lessons
7 lessons
Goal
Derive the derivative definition from difference quotients, prove standard derivatives from first principles, and analyze second derivatives and curvature.
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The Derivative Function and Differentiability from First Principles
Public learning track
Polynomial Theorems, Division, and Advanced Factoring
11th Grade · Track 589 of 698 · 9 lessons
9 lessons
Goal
Master polynomial operations, algebraic long division, the Remainder and Factor Theorems, and factoring techniques for higher-degree polynomials.
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Polynomial Long Division with Linear Divisors