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Math Ed Page: A Proposal for Early Math Education

For Teachers 3rd - 8th
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.
Lesson Plan
PBS

Wnet: Thirteen: Math in Basketball: Lesson Plan

For Teachers 9th - 10th
In this lesson plan, students will explore ways that mathematics are used in basketball. Students will explore the concept of a function and will learn to use function notation. Students will recognize, describe, and represent quadratic...
Handout
Paul Dawkins

Paul's Online Notes: Algebra: The Definition of a Function

For Students 9th - 10th Standards
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.
Handout
Paul Dawkins

Paul's Online Notes: Algebra: Inverse Functions

For Students 9th - 10th Standards
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.
Lesson Plan
Better Lesson

Better Lesson: Algebra Ii: The Trigonometric Functions

For Teachers 10th - 12th Standards
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.
Handout
Paul Dawkins

Paul's Online Notes: Algebra: Logarithm Functions

For Students 9th - 10th Standards
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...
Unit Plan
New York Times

New York Times: Steven Strogatz on the Elements of Math Series the New York Times

For Students 9th - 10th
[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...
Activity
University of Vienna (Austria)

Math Online: Functions

For Students 9th - 10th Standards
This interactive site uses applets to show sample graphs of each simple power function, a function plotter, graph puzzles, and more. Great site.
Unit Plan
Math Is Fun

Math Is Fun: Working With Exponents and Logarithms

For Students 9th - 10th Standards
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...
Unit Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Exponential Functions and Models

For Students 9th - 10th Standards
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.
Activity
Interactive Mathematics

Interactive Mathematics: Graphs of the Trigonometric Functions

For Students 9th - 10th Standards
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.
Activity
Other

Montana State University: Analyzing a Periodic Function

For Students 9th - 10th Standards
A complex analysis of periodic functions, including advanced calculus and theorems. Includes many graphs.
Handout
Paul Dawkins

Paul's Online Notes: Average Function Value

For Students 9th - 10th Standards
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.
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Inverse Functions

For Students 9th - 10th Standards
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.
Handout
Oswego City School District

Regents Exam Prep Center: Algebra 2: Definition of Inverse Function

For Students 9th - 10th Standards
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...
Unknown Type
Khan Academy

Khan Academy: Algebra I: Evaluate Step Functions

For Students 9th - 10th
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.
Unknown Type
Khan Academy

Khan Academy: Model With Function Combination

For Students 9th - 10th Standards
Given two basic functions that model a real-world situation, combine them using the appropriate arithmetic operation in order to model a more complex situation. Students receive immediate feedback and have the opportunity to try...
Lesson Plan
Khan Academy

Khan: Lsn 11 Ops W Polynomials, Rewriting Expressions, Quad Functions, Equations

For Students 9th - 10th
Lesson 1 of 4 for Passport to Advanced Math. Learners will add, subtract, and multiply polynomials. They will build quadratic functions and write equations to represent a context.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Using Functions to Describe a Situation

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Students learn to write a function rule from a table of values and represent real-world situations with a function. Students examine guided notes, review guided...
Activity
Paul Dawkins

Paul's Online Notes: Function Practice Problems by Paul's Online Notes

For Students 9th - 10th Standards
In this section we will cover function notation/evaluation, determining the domain and range of a function and function composition.
Activity
Other

Wpi: Applications of Exponential & Logarithmic Functions

For Students 9th - 10th Standards
This site explains the Applications of exponential and logarithmic functions with exercises to help the student understand the applications.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Graphs of Rational Functions

For Students 9th - 10th Standards
[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...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Function Notation

For Students 9th - 10th Standards
[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.
Unit Plan
BBC

Bbc: Higher Bitesize Maths: Quadratic Theory

For Students 9th - 10th Standards
A tutorial on quadratics presents topics including: factoring and solving quadratics, graphing quadratic functions, using completing the square and the quadratic formula to solve functions, the discriminant and conjugates. Plenty of...

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