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Cut the Knot

Cut the Knot: The Floor Function

For Students 9th - 10th
This site explains the floor function [x] notation (also known as the greatest integer function). The site contains several examples and graphs to help understand the concept. There is also an advanced exercise using the floor function...
Activity
Hofstra University

Hofstra University: Applied Calculus: Function Grapher

For Students 9th - 10th Standards
Students enter functions in standard mathematic notation and the tool creates a graph of the function. Multiple functions can be entered into the learning tool.
Activity
Texas Instruments

Texas Instruments: Light Years Away

For Teachers 6th - 8th Standards
In this activity, students develop models for a light year and compare numbers written in scientific notation and in standard notation.
Article
Khan Academy

Khan Academy: Asymptotic Notation

For Students 9th - 10th
What is the running time of an algorithm?
Activity
Texas Instruments

Texas Instruments: Keeping Up With Trash

For Teachers 6th - 8th
In this activity, students use scientific notation in finding answers to real-life problems.
Activity
Texas Instruments

Texas Instruments: How Much Is That Phone Call?

For Teachers 9th - 10th
Students will learn how step functions apply to real-world situations, about the notation associated with the greatest integer and least integer functions, and how to transform the greatest integer function.
Activity
Texas Instruments

Texas Instruments: Number Power!

For Teachers 9th - 10th Standards
In this activity, students explore patterns and rules in dealing with exponents and logarithms. They evaluate expressions with exponents and logarithms and display them in various notations. They will use their calculators to discover...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Bf,if the Canoe Trip, Variation 1

For Teachers 9th - 10th Standards
In this task about canoeing, students must analyze paddling speed and current speed, which are working against each other, to determine how long a canoe trip would take. They write expressions and analyze characteristics of the graph...
Unknown Type
Khan Academy

Khan Academy: Linear Equations Word Problems

For Students 9th - 10th
Solve word problems about real world relationships that are given in formulas. Functions are written using function notation.
Unit Plan
Texas Education Agency

Texas Gateway: Domain and Range: Verbal Description

For Students 9th - 10th
The student will be able to identify and determine reasonable values for the domain and range from any given verbal description.
Unknown Type
Khan Academy

Khan Academy: Use Arithmetic Sequence Formulas

For Students 9th - 10th Standards
Given the formula of an arithmetic sequence, either in explicit form or in recursive form, find a specific term in the sequence. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
Unknown Type
Khan Academy

Khan Academy: Use Geometric Sequence Formulas

For Students 9th - 10th Standards
Given the formula of a geometric sequence, either in explicit form or in recursive form, find a specific term in the sequence. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
Handout
Quia

Ixl Learning: Linear Equations

For Students 9th - 10th Standards
Brush up on your math skills relating to linear equations then try some practice problems to test your understanding.
Unit Plan
Texas Education Agency

Texas Gateway: Domain and Range: Graphs

For Students 9th - 10th Standards
Given a function in graph form, identify the domain and range using set notation, interval notation, or a verbal description as appropriate.
Unit Plan
Texas Education Agency

Texas Gateway: Domain and Range: Numerical Representations

For Students 9th - 10th Standards
Given a function in the form of a table, mapping diagram, and/or set of ordered pairs, the student will identify the domain and range using set notation, interval notation, or a verbal description as appropriate.
Website
Oswego City School District

Regents Exam Prep Center: Graphs of the Inverse Trig Functions

For Students 9th - 10th Standards
This site reviews basic information on inverse functions and inverse notation. Graphs of inverse trig functions are shared and discussed.
Activity
Interactive Mathematics

Interactive Mathematics: Vital Revision for Fourier Series

For Students 9th - 10th
Begin your studies of the Fourier Series with this lesson. It contains information on all of the essentials of getting started, including trigonometric functions, continuity, periodic functions, and more.
Activity
Richland Community College

Richland Community College: Math 116 Lecture Notes

For Students 9th - 10th Standards
This site from the Richland Community College provides the detailed lecture notes to a college algebra course, complete with equations and definitions. Content ranges from "functions and their graphs" to "conics and parametric equations."
Activity
Other

Math Mistakes: Common Algebra Mistakes

For Students 9th - 10th
Learn from other student's mistakes by reviewing examples of the following Algebra topics: rational expressions, radical expressions, function notation, solving linear equations, solving linear inequalities, solving quadratic equations,...
Activity
Wolfram Research

Wolfram Math World: Common Logarithm

For Students 9th - 10th Standards
This MathWorld site gives two and three dimensional graph representations of the common logarithmic function, explains its notation, and shows how to represent a common logarithm as a natural logarithm. This site contains numerous...
Unit Plan
University of California

Uc Davis: The Chain Rule

For Students 9th - 10th
Nice comprehensive site on the chain rule the site explains the notation that goes along with the common notation of the chain rule through examples.
Website
Other

Boolean Propositional Logic

For Students 9th - 10th
Introduction to classic, boolean propositional logic. Written in a clear way with little or no technical notation. A great place to start for those beginning to learn about logic.
Website
Other

R. B. Jones: First Order Predicate Logic

For Students 9th - 10th
Great introduction to basic ideas in predicate logic. Conveys fundamental ideas without using technical notation. A good place to start.
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: Intermediate Algebra

For Students 9th - 10th
This site is a tutorial for students in algebra 2 or for those who need a refresher. The site has explanations, definitions, examples, practice problems and practice tests are found covering topics such as linear equations, graphing,...

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