Public learning track
Arithmetic and Geometric Sequences and Series
9th Grade · Math · Open Global Math
9 lessons
Goal
Represent arithmetic and geometric sequences recursively and explicitly, link to linear/exponential growth, and derive and evaluate geometric series.
Featured Diagrams
Sequences as Functions on Discrete Domains
9 lessons
0 of 9 done
- 1Sequences as Functions on Discrete DomainsUp nextStart
- 2Recursive Formulas for Arithmetic SequencesPremiumNot started yet
- 3Explicit Formulas for Arithmetic SequencesNot started yet
- 4Connecting Arithmetic Sequences to Linear GrowthNot started yet
- 5Recursive Formulas for Geometric SequencesNot started yet
- 6Explicit Formulas for Geometric SequencesNot started yet
- 7Connecting Geometric Sequences to Exponential GrowthNot started yet
- 8Deriving the Sum Formula for Finite Geometric SeriesNot started yet
- 9Evaluating Finite Geometric Series in Applied ContextsNot started yet
Curriculum Framework
9th Grade · Math · Open Global Math
1
11 lessons
Functions, Domain, Range, and Piecewise Representations
Evaluate functions, determine domain and range across multiple notations, and construct and analyze piecewise-defined functions.
2
17 lessons
Linear Functions, Forms, Slopes, and Direct Variation
Analyze, graph, convert, and model with linear functions in all forms, including slope relationships and direct variation.
3
9 lessons
Quadratic Functions, Forms, and Key Attributes
Analyze, convert, graph, and model quadratic functions across standard, vertex, and factored forms.
4
11 lessons
Exponential and Logarithmic Functions, Graphs, and Equations
Model growth and decay, graph exponential and logarithmic functions across bases 2, 10, and e, and solve equations.
5
8 lessons
Parent Function Families and Inverse Variation
Graph and analyze parent functions (absolute value, square root, cube root, reciprocal, cubic, sine/cosine) and model inverse variation.
6
7 lessons
Transformations of Parent Functions
Apply, identify, and formulate vertical and horizontal translations, stretches, compressions, and reflections across all function families.
7
7 lessons
Inverse Functions, Composition, and Invertibility
Determine inverse functions algebraically, verify inverses via composition and graphical symmetry, and restrict domains for one-to-one invertibility.
8
9 lessons
Arithmetic and Geometric Sequences and Series
Represent arithmetic and geometric sequences recursively and explicitly, link to linear/exponential growth, and derive and evaluate geometric series.
9
8 lessons
Coordinate Intersections, Graphical Solutions, and Equivalence
Explain graphs as solution sets, find intersection coordinates of y = f(x) and y = g(x) to solve f(x) = g(x), and compare growth models.