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Public learning track
Advanced Mathematical Problem-Solving and Justification
9th Grade · Track 446 of 698 · 7 lessons
7 lessons
Goal
Analyze complex problem conditions, formulate multi-step strategies, verify solutions using multiple representations, and justify mathematical reasoning with formal precision.
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Analyzing Given Conditions and Identifying Constraints
Public learning track
Functions, Domain, Range, and Piecewise Representations
9th Grade · Track 447 of 698 · 11 lessons
11 lessons
Goal
Evaluate functions, determine domain and range across multiple notations, and construct and analyze piecewise-defined functions.
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Understanding Relations and the Definition of a Function
Public learning track
Geometric Reasoning, Axiomatic Systems, and Proof Methods
9th Grade · Track 448 of 698 · 7 lessons
7 lessons
Goal
Understand the logical architecture of geometry and construct rigorous direct proofs, indirect proofs, and counterexamples.
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Defining Points, Lines, and Line Segments
Public learning track
Linear Equations, Literal Formulas, and Single-Variable Inequalities
9th Grade · Track 449 of 698 · 11 lessons
11 lessons
Goal
Solve multi-step linear equations and inequalities with numerical and literal coefficients, justify each algebraic transformation, and rearrange scientific formulas for specified variables.
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Justifying Steps in Solving Linear Equations Using Properties of Equality
Public learning track
The Pythagorean Theorem: Geometric Proofs, Converse, and Applications
9th Grade · Track 450 of 698 · 7 lessons
7 lessons
Goal
Master geometric and similarity-based proofs of the Pythagorean theorem, use its converse to classify triangles, and solve complex multi-step geometric problems.
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The Pythagorean Theorem: Visual Proof Using Area
Public learning track
Real Number System, Density, and Infinite Decimals
9th Grade · Track 451 of 698 · 7 lessons
7 lessons
Goal
Master the structure of real numbers, one-to-one number line correspondence, arithmetic closures, and infinite decimal representations.
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The Real Number System: Bringing Rational and Irrational Together
Public learning track
Statistical Investigations, Sampling Methods, and Bias
9th Grade · Track 452 of 698 · 8 lessons
8 lessons
Goal
Design statistical investigations, analyze sampling techniques, detect bias in media, and infer population parameters from sample data.
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Statistical Inference: Populations, Parameters, Samples, and Statistics
Public learning track
Structure and Interpretation of Algebraic Expressions
9th Grade · Track 453 of 698 · 6 lessons
6 lessons
Goal
Analyze algebraic expressions by interpreting terms, coefficients, factors, and structural equivalence in real-world modeling contexts.
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Parts of an Algebraic Expression: Terms, Coefficients, Constants
Public learning track
Computational Algorithms, Flowcharts, and Numerical Routines
9th Grade · Track 454 of 698 · 7 lessons
7 lessons
Goal
Design, test, trace, and refine structured algorithms and flowcharts for geometric constructions, numerical approximations, and decision logic.
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Describing Geometric Constructions as Step-by-Step Algorithms
Public learning track
Foundations of Right Triangle Trigonometry
9th Grade · Track 455 of 698 · 9 lessons
9 lessons
Goal
Establish sine, cosine, and tangent ratios through triangle similarity, derive exact trigonometric values for special angles, and utilize fundamental trigonometric identities.
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Understanding Trigonometric Ratios Through Similarity