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Math Notes and Math Tests
Pre Calculus Notes: Exponential Functions and Their Graphs [Pdf]
Students explore exponential functions and their graphs. Exponential decay, the natural exponential function, and compound interest are examined. Proofs, explanations, and examples are included.
Shodor Education Foundation
Shodor Interactivate: Lesson: Introduction to Functions
Input numbers into the function machine and explore independent and dependent variables.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: La Function Cuadratica. Parabolas.
This is an interactive activity to explore the second-degree polynomial function. It goes from the simplest case, y=x^2 to different translations.
CK-12 Foundation
Ck 12: 3.4 Graphs of Logs as the Inverse of Exponential Functions
This lesson explores the statement that the log functions are identified as the inverse of exponential functions. These functions will be compared visually through the graphs of both the logarithmic and exponential functions.
CK-12 Foundation
Ck 12: Algebra Ii: 3.6 Transformations of Log Functions
This section explores the many ways that logarithmic functions can be transformed, and how those transformations cause their graphs to be translated in different ways.
J Coffman
Joseph Coffman's Lecture Notes: Modeling Data With Quadratics
Learners explore quadratic functions and their graphs. Vocabulary, examples, methods, and a quiz are included.
PBS
Pbs Mathline: Mystery Liquids Lesson Plan [Pdf]
Students gather data from two mystery liquids to explore linear functions. Printable lesson.
Texas Instruments
Texas Instruments: Exploring Slope Intercept Form of a Line
Use TI-Navigator to explore the relationship between a linear function and its graphs. See how the value of the slope and y-intercept affect the graphs.
Texas Instruments
Texas Instruments: Graphs of Quadratic Functions in Vertex Form
TI Explorations books has a great activity for TI InterActive! in graphing parabolas in vertex form. What if you don't have TI InterActive! or a lab to take your students, but you do have a class set of TI-83 or TI-84. This activity...
Analyze Math
Analyze Math: Cotangent Function
The trigonometry tutorial explores the graph of the cotangent function. The interactive tutorial explores the period, phase shift, and domain of the cotangent graph.
Texas Instruments
Texas Instruments: Graphing Relationships
In this activity, students explore information about a graph based on the first and second derivatives. They learn that a function's derivative is positive when the function increases and negative when the function decreases. They learn...
Analyze Math
Analyze Math: Rational Functions (1)
Students explore the properties and graphs of rational functions. The tutorial examines the equations of rational functions, intercepts, vertical asymptote, and horizontal asymptotes. The activity consists of examples with detailed...
Texas Instruments
Texas Instruments: Explore End Behavior
Guide your students to the discovery that the end behavior of a polynomial function is determined by the degree of the polynomial and the sign of the leading coefficient by using this activity from Holt, Rinehart, & Winston's Algebra...
CK-12 Foundation
Ck 12: Analysis: One to One Functions and Their Inverses
[Free Registration/Login may be required to access all resource tools.] Definition and exploration of 1 to 1 functions and their inverses
Texas Instruments
Texas Instruments: Graphing the Rational Function F(x) = |X|
This LearningCheck document can be used as a self-discovery lesson. The student can explore the domain and range along with the transformations.
Analyze Math
Analyze Math: Cosine Function
The mathematics tutorial explores the cosine function. The interactive tutorial investigates the period, phase shift, domain, and asymptotes of the cosine function.
Analyze Math
Analyze Math: Sine Function
The mathematics tutorial examines the sine function. The interactive tutorial explores the period, phase shift, domain, and asymptotes of the sine function.
Analyze Math
Analyze Math: Secant Function
The mathematics tutorial examines the secant function. The interactive tutorial explores the period, phase shift, domain, and asymptotes of the secant function.
Analyze Math
Analyze Math: Tangent Function
The mathematics tutorial explores the tangent function. The interactive tutorial investigates the period, phase shift, domain, and asymptotes of the tangent function.
Paul Dawkins
Paul's Online Notes: Algebra: Polynomial Functions
Students investigate how to sketch and find solutions to higher degree polynomials. Topics explored are dividing polynomials, roots of polynomials, graphing polynomials, and finding zeroes of polynomials. Class notes, definitions, and...
Purple Math
Purplemath: Exponential Functions: Introduction
Purplemath offers tables and graphs of various exponential functions for an exploration of how exponential functions behave from the real number domain. Compound interest problems are examined and the natural exponential is discussed...
Sophia Learning
Sophia: Comparing Linear, Quadratic, and Exponential Functions
Linear, quadratic and exponential functions have different graphs, equations, and characteristics. In this tutorial, compare the shape of linear, quadratic, and exponential curves on a graph, and explore how to identify a function as...
Illustrative Mathematics
Illustrative Mathematics: F Le Exponential Functions
Students are shown the intersecting graphs of two exponential functions in the format of f(x) = a times b to the power of x, and are asked to explore their characteristics. They discover that the value of each function will increase by a...
PBS
Wnet: Thirteen: Math in Basketball: Lesson Plan
In this lesson plan, learners will explore ways that mathematics are used in basketball. Students will explore the concept of a function and will learn to use function notation. Learners will recognize, describe, and represent quadratic...