Public learning track
Linear Functions, Slope, and Rates of Change
7th Grade · Math · Open Global Math
12 lessons
Goal
Analyze constant rates of change, determine and interpret slope and intercepts, and model real-world linear functions algebraically and graphically.
Featured Diagrams
Understanding Rate of Change as Constant Change in Linear Functions
12 lessons
0 of 12 done
- 1Understanding Rate of Change as Constant Change in Linear FunctionsUp nextStart
- 2Finding Slope from a Graph Using Rise Over RunPremiumNot started yet
- 3Calculating Slope Between Two Points Using the Slope FormulaNot started yet
- 4Interpreting Positive, Negative, Zero, and Undefined SlopesNot started yet
- 5Finding and Interpreting y-Intercepts and x-InterceptsNot started yet
- 6Graphing Linear Functions in Slope-Intercept Form y = mx + bNot started yet
- 7Writing Linear Equations from Graphs and TablesNot started yet
- 8Writing Linear Equations Given Slope and a PointNot started yet
- 9Writing Linear Equations Given Two PointsNot started yet
- 10Converting Between Standard Form and Slope-Intercept FormNot started yet
- 11Using Technology to Graph and Analyze Linear FunctionsNot started yet
- 12Modeling Real-World Rate and Cost Scenarios with Linear 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.