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Math Ed Page: A Proposal for Early Math Education
A chapter from a book on mathematics instruction for elementary students. Henri Picciotti explains why instruction in number sense, function sense, and symbol sense is important. He offers sample plans for operation sense.
Paul Dawkins
Paul's Online Notes: Algebra: Combining Functions
Detailed math tutorial features notes and examples that take a look at combining functions using addition, subtraction, multiplication, and division. It also discusses function composition. Includes practice and assignment problems.
Paul Dawkins
Paul's Online Notes: Algebra: The Definition of a Function
Detailed math tutorial features definitions and examples that take a look at relations and functions, function notation, the domain and range of a function, and piecewise functions.
Paul Dawkins
Paul's Online Notes: Algebra: Inverse Functions
Detailed math tutorial features notes and examples that take a look at the process of finding inverse functions. It also defines one-to-one functions.
Better Lesson
Better Lesson: Algebra Ii: The Trigonometric Functions
A lesson plan where students will interpret the trigonometric functions in terms of the unit circle, graph a sinusoidal function, and use a sinusoidal function to make interpretations in a modeling context.
Paul Dawkins
Paul's Online Notes: Algebra: Logarithm Functions
Detailed math tutorial introduces logarithm functions giving the basic properties and graphs. Also, discusses how to evaluate some basic logarithms including the use of the change of base formula, the common logarithm, log(x), and the...
New York Times
New York Times: Steven Strogatz on the Elements of Math Series the New York Times
[Free Registration/Login Required] On this site, Cornell University mathematics professor, Steven Strogatz, shares his 15-part series of columns on the elements of math. He investigates topics ranging from negative numbers to subtraction...
University of Vienna (Austria)
Math Online: Functions
This interactive site uses applets to show sample graphs of each simple power function, a function plotter, graph puzzles, and more. Great site.
Math Is Fun
Math Is Fun: Working With Exponents and Logarithms
Clearly presented explanation of how logarithms and exponents work together, the properties of logarithms, the natural logarithm and the natural exponential functions, the common logarithm, changing the base, and real-world applications...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Exponential Functions and Models
The resource investigates exponential functions and models. Students learn about the concepts through notes and examples. A chapter quiz, review exercises, and chapter summary are included.
Interactive Mathematics
Interactive Mathematics: Graphs of the Trigonometric Functions
The tutorial investigates period and frequency by examining the shapes of the sine and cosine functions. The resource consists of definitions, animations, interactive graphs, and examples. Practice problems with solutions are included.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Logarithmic Functions
This clear tutorial provides the definition of a logarithmic function as well as instruction on how to perform important tasks with them. Find step-by-step solutions to example problems and practice exercises for you to complete and check.
Paul Dawkins
Paul's Online Notes: Lamar University: Paul's Online Notes: Algebra: Rational Functions
Detailed tutorial features notes and numerous examples that illustrate how to graph rational functions.
Other
Montana State University: Analyzing a Periodic Function
A complex analysis of periodic functions, including advanced calculus and theorems. Includes many graphs.
Paul Dawkins
Paul's Online Notes: Average Function Value
This tutorial takes a look at using definite integrals to determine the average value of a function on an interval and also the Mean Value Theorem for integrals.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Inverse Functions
The sample problems and solutions in this tutorial will show you what an inverse function is: how to find one, how to graph a function and its inverse, and how to determine whether a function has an inverse.
Oswego City School District
Regents Exam Prep Center: Algebra 2: Definition of Inverse Function
An introductory look at the definition of an inverse function, the notation used for inverse functions, and tests used to determine whether a function will have an inverse. Several examples are provided for the student to scroll through...
Khan Academy
Khan Academy: Algebra I: Evaluate Step Functions
Given the graph of a step function, find the function's outputs for given specific inputs. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan: Lsn 11 Ops W Polynomials, Rewriting Expressions, Quad Functions, Equations
Lesson 1 of 4 for Passport to Advanced Math. Students will add, subtract, and multiply polynomials. They will build quadratic functions and write equations to represent a context.
Paul Dawkins
Paul's Online Notes: Function Practice Problems by Paul's Online Notes
In this section we will cover function notation/evaluation, determining the domain and range of a function and function composition.
Other
Wpi: Applications of Exponential & Logarithmic Functions
This site explains the Applications of exponential and logarithmic functions with exercises to help the student understand the applications.
CK-12 Foundation
Ck 12: Algebra: Graphs of Rational Functions
[Free Registration/Login may be required to access all resource tools.] Learn about the shapes and characteristics of graphs of rational functions. Students examine guided notes, review guided practice, watch instructional videos and...
CK-12 Foundation
Ck 12: Algebra: Function Notation
[Free Registration/Login may be required to access all resource tools.] This concept introduces function notation. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
CK-12 Foundation
Ck 12: Inverse of Functions Through Algebraic Manipulation
[Free Registration/Login may be required to access all resource tools.] Here you'll learn how to find the inverse of functions through algebraic manipulation.
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