Public learning track
Foundations of Functions and Relations
7th Grade · Math · Open Global Math
11 lessons
Goal
Understand the function concept as a single-output rule, distinguish variables, evaluate functions, and connect tables, equations, and graphs.
Featured Diagrams
Understanding Functions as Input-Output Mappings
11 lessons
0 of 11 done
- 1Understanding Functions as Input-Output MappingsUp nextStart
- 2Identifying Functions from Tables, Mappings, and GraphsPremiumNot started yet
- 3Applying the Vertical Line Test to GraphsNot started yet
- 4Identifying Independent and Dependent Variables in FunctionsNot started yet
- 5Evaluating Functions Using Function NotationNot started yet
- 6Constructing Tables of Values from Function RulesNot started yet
- 7Plotting Functions on the Cartesian Coordinate PlaneNot started yet
- 8Understanding That Graphs Are Sets of All SolutionsNot started yet
- 9Distinguishing Between Discrete and Continuous FunctionsNot started yet
- 10Identifying Domain and Range from Graphs and TablesNot started yet
- 11Translating Between Equations, Tables, and Graphs of FunctionsNot started yet
Curriculum Framework
7th Grade · Math · Open Global Math
1
12 lessons
Algebraic Expressions and Polynomial Operations
Formulate, simplify, expand, and factor linear and polynomial expressions with rational coefficients using properties of operations.
2
12 lessons
One-Variable Linear Equations and Two-Step Forms
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.
3
11 lessons
Multi-Step Linear Equations and Identities
Solve multi-step linear equations with variables on both sides, clear fractions and decimals, solve literal equations, and determine solution cardinality.
4
11 lessons
Linear Inequalities and Number Line Representations
Write, solve, and graph one-variable linear inequalities with rational numbers, and interpret solution sets within contextual constraints.
5
11 lessons
Foundations of Functions and Relations
Understand the function concept as a single-output rule, distinguish variables, evaluate functions, and connect tables, equations, and graphs.
6
12 lessons
Linear Functions, Slope, and Rates of Change
Analyze constant rates of change, determine and interpret slope and intercepts, and model real-world linear functions algebraically and graphically.
7
11 lessons
Systems of Linear Equations
Solve systems of two linear equations in two variables graphically, by substitution, and by elimination, and model contextual problems.
8
11 lessons
Non-Linear Functions: Quadratic and Inverse Variation
Analyze non-linear relationships, explore quadratic functions and inverse proportional functions through tables, formulas, and graphs.
9
10 lessons
Quadratic and Fractional Equations
Solve introductory quadratic equations by square roots and factoring, and solve fractional algebraic equations while identifying extraneous roots.