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Public learning track
Foundations of Functions and Relations
7th Grade · Track 360 of 698 · 11 lessons
11 lessons
Goal
Understand the function concept as a single-output rule, distinguish variables, evaluate functions, and connect tables, equations, and graphs.
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Understanding Functions as Input-Output Mappings
Public learning track
Linear Functions, Slope, and Rates of Change
7th Grade · Track 361 of 698 · 12 lessons
12 lessons
Goal
Analyze constant rates of change, determine and interpret slope and intercepts, and model real-world linear functions algebraically and graphically.
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Understanding Rate of Change as Constant Change in Linear Functions
Public learning track
Linear Inequalities and Number Line Representations
7th Grade · Track 362 of 698 · 11 lessons
11 lessons
Goal
Write, solve, and graph one-variable linear inequalities with rational numbers, and interpret solution sets within contextual constraints.
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Understanding Inequality Symbols and Number Line Graphs
Public learning track
Multi-Step Linear Equations and Identities
7th Grade · Track 363 of 698 · 11 lessons
11 lessons
Goal
Solve multi-step linear equations with variables on both sides, clear fractions and decimals, solve literal equations, and determine solution cardinality.
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Solving Multi-Step Linear Equations with Variables on Both Sides
Public learning track
Non-Linear Functions: Quadratic and Inverse Variation
7th Grade · Track 364 of 698 · 11 lessons
11 lessons
Goal
Analyze non-linear relationships, explore quadratic functions and inverse proportional functions through tables, formulas, and graphs.
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Distinguishing Linear and Non-Linear Functions from Tables and Graphs
Public learning track
One-Variable Linear Equations and Two-Step Forms
7th Grade · Track 365 of 698 · 12 lessons
12 lessons
Goal
Solve and verify one-step and two-step linear equations in forms such as px + q = r and p(x + q) = r with rational numbers fluently.
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Understanding Algebraic Equality and Balance Models
Public learning track
Quadratic and Fractional Equations
7th Grade · Track 366 of 698 · 10 lessons
10 lessons
Goal
Solve introductory quadratic equations by square roots and factoring, and solve fractional algebraic equations while identifying extraneous roots.
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Solving Quadratic Equations of the Form x² = k
Public learning track
Systems of Linear Equations
7th Grade · Track 367 of 698 · 11 lessons
11 lessons
Goal
Solve systems of two linear equations in two variables graphically, by substitution, and by elimination, and model contextual problems.
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Understanding Systems of Equations as Points of Intersection
Public learning track
Algebraic Expressions and Polynomial Operations
7th Grade · Track 368 of 698 · 12 lessons
12 lessons
Goal
Formulate, simplify, expand, and factor linear and polynomial expressions with rational coefficients using properties of operations.
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Identifying Terms, Coefficients, Variables, and Constants
Public learning track
Angle Relationships and Parallel Lines
7th Grade · Track 369 of 698 · 9 lessons
9 lessons
Goal
Identify and calculate unknown angles using complementary, supplementary, vertical, and parallel line transversal relationships with algebraic equations.
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Identifying Adjacent, Complementary, and Supplementary Angles