Public learning track
Limits, Continuity, and Discontinuities
12th Grade · Math · Open Global Math
7 lessons
Goal
Investigate function continuity, analyze one-sided limits, classify removable, jump, and infinite discontinuities, and evaluate graphing technology limitations.
Featured Diagrams
Evaluating One-Sided Limits Algebraically and Graphically
7 lessons
0 of 7 done
- 1Evaluating One-Sided Limits Algebraically and GraphicallyUp nextStart
- 2The Formal Three-Part Definition of Continuity at a PointPremiumNot started yet
- 3Identifying and Classifying Removable DiscontinuitiesNot started yet
- 4Analyzing Jump Discontinuities in Piecewise and Step FunctionsNot started yet
- 5Characterizing Infinite Discontinuities and Asymptotic BehaviorNot started yet
- 6Investigating Continuity over Intervals and the Intermediate Value TheoremNot started yet
- 7Evaluating Technological Limitations of Graphing ToolsNot started yet
Curriculum Framework
12th Grade · Math · Open Global Math
1
7 lessons
Advanced Quadratics, Discriminant Analysis, and Inequalities
Analyze quadratic functions in depth, evaluate discriminants across real and complex roots, and solve quadratic and linear inequalities in one and two variables.
2
6 lessons
Non-Linear Systems and Geometric Intersections
Solve simultaneous linear and nonlinear systems algebraically and interpret solutions as intersection points or tangencies of curves.
3
8 lessons
Formal Functions, Composition, and Inverses
Define formal function mappings, evaluate and decompose composite functions, and construct inverse functions with domain restrictions.
4
7 lessons
Polynomial, Modulus, and Piecewise Function Analysis
Analyze key features, symmetry, extrema, end behavior, and graphs of polynomial, modulus, and piecewise functions.
5
6 lessons
Rational and Power Functions: Asymptotes and Behavior
Analyze power and rational functions, finding vertical, horizontal, and oblique asymptotes, removable singularities, and global behavior.
6
7 lessons
General Function Transformations
Apply and analyze combined vertical and horizontal translations, reflections, stretches, and compressions in the form y = a f(b(x - h)) + k.
7
7 lessons
Limits, Continuity, and Discontinuities
Investigate function continuity, analyze one-sided limits, classify removable, jump, and infinite discontinuities, and evaluate graphing technology limitations.