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Public learning track
Advanced 2D Measurement, Dissections, and Dimensional Scaling
10th Grade · Track 500 of 698 · 9 lessons
9 lessons
Goal
Derive polygon and circle formulas through informal dissection and limit arguments, compute measures of complex composite figures, and analyze proportional and non-proportional dimensional scaling.
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Informal Argument: Area of a Circle
Public learning track
Advanced Linear Equations and Two-Variable Systems
10th Grade · Track 501 of 698 · 8 lessons
8 lessons
Goal
Solve multi-step linear equations, literal equations, and systems of linear equations in two variables using algebraic methods and geometric interpretations.
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Solving Multi-Step Linear Equations with Variables on Both Sides
Public learning track
Dihedral and Trihedral Multi-View Systems: Points and Lines
10th Grade · Track 502 of 698 · 5 lessons
5 lessons
Goal
Represent points, line segments, and lines across horizontal, vertical, and profile projection planes using Monge's descriptive geometry.
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Principles of the Dihedral System and the Monge Epure
Public learning track
Limits, Continuity, and Asymptotic Behavior
10th Grade · Track 503 of 698 · 14 lessons
14 lessons
Goal
Evaluate limits algebraically and numerically, analyze continuity, determine all types of asymptotes, and resolve indeterminate forms using L'Hopital's rule.
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Intuitive Understanding of Limits from Graphs and Tables
Public learning track
Logical Foundations, Axioms, and Non-Euclidean Geometry
10th Grade · Track 504 of 698 · 7 lessons
7 lessons
Goal
Analyze undefined terms, construct conditional statements and counterexamples, and compare Euclidean with spherical geometries.
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Undefined Terms: Points, Lines, Planes, and Distance
Public learning track
Real Number Foundations, Density, and Decimal Expansions
10th Grade · Track 505 of 698 · 8 lessons
8 lessons
Goal
Analyze the structural properties of real numbers, prove irrationality, explore set density, and convert recurring decimal expansions into exact rational forms.
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The Real Number System: Bringing Rational and Irrational Together
Public learning track
Right Triangle Trigonometry and Exact Values
10th Grade · Track 506 of 698 · 10 lessons
10 lessons
Goal
Apply trigonometric ratios, complementary angle relationships, exact special right triangle values, and 2D/3D geometric reasoning to solve right triangles in applied contexts.
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Introduction to Trigonometric Ratios: Sine, Cosine, Tangent
Public learning track
Univariate Data: Visual Displays, Frequency Distributions, and Ogives
10th Grade · Track 507 of 698 · 8 lessons
8 lessons
Goal
Construct and interpret visual representations of quantitative data including histograms, dot plots, box plots, and cumulative frequency curves.
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Constructing and Interpreting Dot Plots and Stem-and-Leaf Displays
Public learning track
Compass, Straightedge, and Dynamic Constructions
10th Grade · Track 508 of 698 · 8 lessons
8 lessons
Goal
Perform precise classical and software-based geometric constructions and verify their theoretical foundations.
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Copying Segments and Angles with Compass and Straightedge
Public learning track
Differential Calculus Foundations and Differentiation Rules
10th Grade · Track 509 of 698 · 14 lessons
14 lessons
Goal
Compute first and second derivatives of polynomial, rational, exponential, logarithmic, and trigonometric functions using analytical rules.
Featured Diagrams
Average Rate of Change vs Instantaneous Rate of Change