Links for K-12 Teachers | Assessment Assistance | On-Line Practice Modules | Daily Dose of the Web

1. Graphing Equations and Inequalities Unit Quiz
2. Create a Haunted House.....if you dare! - Follow directions to sharpen your graphing skills, create a cool haunted house and then morph it using math.
3. Expressions, Equation Solving and Graphing in the Coordinate Plane - The Haunted house and many more coordinate plane practice problems

1. Interactive Algebra Review on the topic of real numbers
2. Rational Number Tutorial - This tutorial will help you understand the significance of the minimum and maximum integers in a rational number system and the meaning of overflow.
3. A proof that all square roots of primes are irrational

1. Simplifying Radical Expressions - Intermediate Algebra tutorial
2. Simplifying Radicals - basic information about perfect square numbers
3. Simplifying Radicals - explanation and practice problems
4. Square Roots - Find the square root of a perfect square number. (a matching game like concentration)
5. Squares and Square Roots - to understand square roots, first you must understand squares

1. Converting Numbers to Scientific Notation - AAA Math lesson and practice problems &
2. Cube of a Number - AAA Math lesson and practice problems &
3. Evaluating Exponents of Negative Numbers - AAA Math lesson and practice problems &
4. Exponent Practice - Try a workout of 10 problems. If you get at least 8 correct on your first attempt, then you're ready to move on. If not, review "In Depth" and try again.
5. Exponents - Unit 3 from Ms. Glosser's Math Goodies
6. Interactive Algebra Review on Integer Exponents
7. Scientific Notation - interactive practice
8. Simplifying - Expressions that have had their like terms combined. Match each expression on the left with an expression on the right. Type the letter of the correct expression in the box.

1. Commutative and Associative Properties of Addition
2. Multiplication Properties - Page colors are way too bright, but the interactive practice section is really good.

1. Inverse relationship of Addition and Subtraction - this site has a good interactive practice section
2. Inverse Relationship between Division and Multiplication - look at their interactive practice section

1. The Prime Pages - prime number research, records and resources (Look at a prime number speed limit sign :-)
2. Prime and Composite Numbers - list the factors of numbers and identify which numbers are prime or composite (an E-lab from Harcourt School Publishers)

1. LCM and GCF - To find either the Least Common Multiple (LCM) or Greatest Common Factor (GCF) of two numbers, you always start out the same way
2. Investigating LCM and GCF Using Rods
3. GCF & LCM - enter two values and this site will solve for GCF and LCM
4. Interactive Algebra Review - Factoring Algebraic Expressions

1. Comparing Seven Digit Numbers - practice area followed by an interactive game
2. Rational and Irrational number review

1. Rational Number and its Reciprocal - a step-by-step examination of a problem by Dr. Math
2. How do I find the reciprocal of a decimal mixed number? - an answer to a student's question

1. Proportional Thinking and Probability - here you will find the Customizable Proportion Problems and much more
2. Percent and Proportion - unit 10 from Ms. Glosser's Math Goodies
3. Ratio and Proportion - four stage lesson includes examples and a set of workout problems

1. Subsets of the Real Number System

1. Line Jumper - [This link opens in a new window] Funbrain number line (choose Super Brain!)
2. Number Line: Comparing and Ordering Integers - practice with an Interactive Adventure with Deep Sea Carl. Carl is diving in the Great Barrier Reef off the coast of Australia. These waters are shark infested. Keep Carl safe by determining how many feet below sea level Jaws Daddy is.
3. Comparing two numbers on a number line from Web Math. Learn how to compare two numbers using a number line. Type each number into the boxes provided, then click "Show Me!"
4. Number Line Bounce - Instructions on how to play are included at the top of the window.
5. Visualizing Numbers on an Interactive Number Line - instructions for using this activity are included

1. Connecting Equations to Real-World Situations
2. Real World Mathematics - One of the challenges facing mathematics teachers is convincing their students that there is a place for mathematics in the real world. The goal of this page is to collect examples of those applications. This is a SCORE (Schools of California - Online Resources for Educators) page.
3. Math in Daily Life: How do numbers affect everyday decisions? - A unit from Annenberg CPB which includes several hands-on activities.
4. Moneyopolis - A challenging math game, which requires you to demonstrate your math skills in the context of some real life money matters. Created by the national accounting firm Ernst & Young (free registration required)
5. Plane Math - Nine activities involving aviation and mathematic

1. Absolute Value - an algebra lesson from PurpleMath
2. Absolute Value - [resources from Oswego City School District Regents Exam Prep]
   1. Lesson on Absolute Value
   2. Practice Problems
   3. Lesson Plan for Whiteboard Drill
3. Absolute Value Inequalities - using the geometric definition of the absolute value
4. Solving Equations with Absolute Values on One Side
5. Solving Absolute Value Equations - a lesson from Purple Math

1. Algebra vs the Cockroaches - determine the slope of the line that cockroaches are crawling along to destroy them
2. Linear Functions, Slope and Regressions - one example is the Kalamazoo Wal-mart Live or Die Scenario
3. Equation of a Line: Slope-Intercept Form - An interactive applet that will help you visualize how changing the values for the slope, m, and the y-intercept, b, will affect the graph of the equation y = mx + b.
4. Slope Intercept Jeopardy review game in the form of a PowerPoint show
5. Another Slope Intercept Jeopardy review game in the form of a PowerPoint show

1. Prime numbers and their properties were first studied extensively by the ancient Greek mathematicians
2. The Prime Pages - prime number research, records and resources
3. Sieve of Eratosthenes - Eratosthenes invented a method for efficiently constructing tables of prime numbers
4. Dr. Math teaches about prime numbers

1. Calculations Using Order of Operations - AAA Math lesson and practice problems &
2. Evaluating Algebraic Expressions - Order of Operations/P.E.M.D.A.S.
3. Evaluating Algebraic Expressions - from Regents Prep
4. Order of Operations - Math Goodies from Ms. Glosser
5. Order of Operations - Try a workout of 10 problems. If you get at least 8 correct on your first attempt, then you're ready to move on. If not, review "In Depth" and try again.
6. Order of operations game from Funbrain.com (easier levels are available)
7. Order of Operations What's Wrong? -
8. Order of Operations
9. Order of Operations - practice problems
10. Order of Operations - a matching grid pattern game
11. Order of Operations with Exponents - Math Goodies from Ms. Glosser

1. Global Grocery List Project - Students share local grocery prices to build a growing table of data to be used in social studies, science, health, mathematics, and other disciplines.
2. Uncle Vito's New York Pizza has an online menu and sizes all in one place. This would be a good source of data to practice unit cost.

1. How Many? - a dictionary of units of measurement
2. Interactive Units Converter - [This link opens in a new window] Halfway down the page you will find interactive calculators for many measurement systems both commonly used like metric and U.S. Avoirdupois and quite exotic like Ancient Greek and Roman.
3. Measure converter - Full Conversion Table (sorted by Measure Unit Name)
4. Measure4measure - a collection of interactive sites on the web that estimate, calculate, evaluate, translate etc. In other words, they do the work for you.
5. A Dictionary of Units - This provides a summary of most of the units of measurement to be found in use around the world today (and a few of historical interest), together with the appropriate conversion factors needed to change them into a 'standard' unit of the SI.
6. Unit of Measure - an encyclopedia article from Encarta

1. Developing Estimation Strategies by Making Connections among Number, Geometry, Measurement, and Data Concepts - from NCTM
2. Percent - graphical examples and practice problems
3. Writing Fractions as Percent - unit 4 from Ms. Glosser's Math Goodies

1. Area and Volume from Ask Dr. Math - A simple way to think about area and volume
2. How Are Things Shaping Up? Investigating Surface Area, Volume, and Properties of Shapes
3. Areas of Triangles, Trapezoids, and Kites - discover or demonstrate the formulas for the areas of triangles, trapezoids, and kites. (three activities)

1. A concentration type game from Quia using algebraic expressions - If d=2 match the algebraic expressions to the correct answers.
2. Interactive Algebra Review - Rational Algebraic Expressions

1. Interactive Algebra Review - Multiplying Algebraic Expressions
2. Multiplying Polynomials - a step-by-step explanation from PurpleMath
3. Interactive Algebra Review - Solving Polynomial Equations (see also part B of this tutorial)
4. Factoring Trinomials Self Quiz - Check your knowledge about factoring polynomials.
5. Solving Polynomial Equations - In algebra you spend lots of time solving polynomial equations or factoring polynomials (which is the same thing). This paper ties them all together in a coherent whole.

1. Calculating the nth Term - how to develop a formula that can be used to calculate these terms
2. Curious and Useful Math - Here you will find tricks and rules for quickly calculating certain types of math problems.
3. Developing Estimation Strategies by Making Connections among Number, Geometry, Measurement, and Data Concepts: Estimating Scoops - NCTM lesson plan including video segments
4. K-12 Math Problems, Puzzles, Tips & Tricks from the Math Forum

1. An Introduction To Volume This lesson is a pure text document, but outlines an interesting experiment using popcorn.
2. Estimating How Much Your Fish Weighs - two suggestions that depend upon figuring out the volume of a fish (A free site that may occasionally exceed its allocated data transfer)

1. Scalar Multiplication - Vectors can be multiplied by a scalar (a number).
2. Scalar multiplication - the multiplication of a vector by a constant s, producing a vector in the same (for s > 0) or opposite (for s < 0) direction but of different length.
3. Resultant Vector - explore the effects of combining different vector quantities
4. Resultant of Forces - This applet deals with forces exerted on a body.You can vary the number of single forces by using the choice box at the ride side. It is possible to change the sizes and directions of these forces by dragging the arrowheads to the intended positions with pressed mouse button.
5. Resolution of a Force into Components - java applet

1. Determinant of a Matrix - an explanation from Dr. Math

1. Analyzing Numeric and Geometric Patterns of Paper Pool - an activity from Illuminations, the NCTM site.
2. Multiple-Choice Questions - twenty (20) questions on Patterns & Functions

1. Mystery Operations - the computer makes up a mystery operation, and you have to figure out what the operation is
2. Number Patterns - involving exchange of Valentines

1. Basic Algebra - Lesson 5 - Expressions from Sentences
2. Learn to Solve Word Problems - (a collection of word problem solvers that solve your problems and help you understand the solutions) All problems are customizable (meaning that you can change all parameters).
3. Ms. Lindquist: The Tutor - A free, web-delivered, intelligent tutoring system for tutoring students in writing expressions for algebra word problems. This site is sponsored by NSF. (the New Ms. Lindquist)
4. Taming Word Problems - a WebQuest on how to solve word problems
5. Word Problems For Kids - This is a set of carefully selected problems (grade 5 to Grade 12) which can help you improve your problem solving skills.

1. Solving addition and subtraction equations - Try a workout of 10 problems. If you get at least 8 correct on your first attempt, then you're ready to move on. If not, review "In Depth" and try again.
2. Linear Equation Solvers - Practice Linear Equations! Improves your test scores!
3. Linear Equations Solver Calculator - solves linear equations in the form; ax + b = cx + d
4. Linear Equation Solver from Algebra.com
5. Linear Equation Solver - a pop-up window allows users to specify the number of equations
6. Solving Linear Equations

1. Translating Word Problems - The hardest thing about doing word problems is taking the English problem and translating it into math. A lesson from Purplemath, a great Algebra resource.
2. Solving Math Word Problems - A Study Guides and Strategies web site posted by the University of St. Thomas
3. Algebra - Fun with Calendars

1. Algebra vs the Cockroaches - determine the slope of the line that cockroaches are crawling along to destroy them
2. Equation of a Line: Slope-Intercept Form - An interactive applet that will help you visualize how changing the values for the slope, m, and the y-intercept, b, will affect the graph of the equation y = mx + b.
3. Slope Intercept Jeopardy review game in the form of a PowerPoint show
4. Another Slope Intercept Jeopardy review game in the form of a PowerPoint show
5. Graphing Linear Equations - an internet project
6. Practice Converting Linear Equations Into Slope Intercept Form - an eleven slide PowerPoint show
7. Slope of the Stairs - use this java applet to investigate the concept (written by someone in Japan, please overlook their spelling :-)

1. Rags to Riches Game - [This link opens in a new window] a fun practice for 1-step, 2-step and multi-step equations. The game is similar in nature to "Who Wants to Be a Millionaire"
2. Linear Equation Solver - You type in the equation. The equation solver will solve it for you with an explanation of how the problem was done.

1. Linear Equation Test - Can you work out the answers? Use the multiple choice boxes or the radio buttons to select your answer.
2. Find the graph that best matches the linear equation
3. Linear Functions Part A: Basics: Slope and Intercept Part B: Finding the Equation of a Line
4. Bell work PowerPoint show on Slope of a line
5. Linear Function Jeopardy in the form of a PowerPoint show
6. Equation of Lines - a PowerPoint show
7. Using Slopes and Intercepts - a twenty-nine slide PowerPoint show

1. Stressed Out - Slope as Rate of Change

1. Pascal's Triangle Interface
2. Exploring Pascal's Triangle: Lessons from the Math Forum
3. Pascal's Triangle and the ice cream cones
4. Pascal Triangle Applet - This applet graphically presents the Pascal triangle
5. The Fibonacci Sequence - How many pairs of rabbits will be produced in a year, beginning with a single pair, if in every month each pair bears a new pair which becomes productive from the second month on?
6. The Mathematics of the Fibonacci series
7. Fibonacci Numbers and Nature
8. Easier Fibonacci puzzles - Puzzles on this page have fairly straight-forward and simple explanations as to why their solution involves the Fibonacci numbers
9. Harder Fibonacci Puzzles - Puzzles on this page are harder to explain but they still have the Fibonacci Numbers as their solutions

1. Systems of Linear Equations - an introduction which considers three situations both algebraically and geometrically

1. Mathematical problem solving. Linear equations, simple algebra. (Ignore the banner at the top of this page)

1. On Valentine's Day, every friend gives a valentine to each of the other friends. How many valentines are exchanged? solve a simple problem, and keep track of how you did it, in order to solve a more complex problem.

1. Inequalities Workout at Math.com
2. Practice with Solving Inequalities
3. Solving Inequalities: Overview - from Purple Math

1. Functions - There are different ways of looking at functions.  This lesson from Purple Math will consider a few.
2. Domain, Range, Derivative, 1-D Kinematics - [This link opens in a new window] a Quia quiz
3. What is a Function? - a thorough examination of the concept in the form of a PowerPoint show

1. Explore Families of Functions -
2. Families of Functions you need to know This page opens in a new window. Close the window to return to this page.
3. Families of Functions - includes a picture of the function family at home
4. Families of Functions - graph-description match game
   1. Links to twelve other function family games
5. Families of Functions and Curves -
6. Four Basic Function Families -
7. Function Machine
8. Introduction to the Four Basic Function Families

1. Practice from Math.com: The coordinate plane, Slope and y-intercept, and Graphing linear equations.
2. Coordinate Geometry - use this PowerPoint show to teach the concept of ordered pairs [consider changing the text animation] (author Monica Yuskaitis)
3. Battle Graph - teach your students about graphing on a coordinate plane. A PowerPoint show designed by Sarah Grabowski, University of Georgia, July 9, 2003
4. What's the Point? - [This link opens in a new window] a coordinate plane game from Funbrain.com (use the hardest level)

1. Comparing Properties of the Mean and the Median through the use of Technology

1. Using Data and Statistics - good graphs, however they are not interactive
2. Graphs and charts - four different graphs and charts for you to consider

1. Graphs and charts - four different graphs and charts for you to consider

1. What Percentage of your Class is Right or Left Handed? - a data collection and analysis class experiment

1. Using Graphs, Equations, and Tables to Investigate the Elimination of Medicine from the Body - This three-part example illustrates the use of iteration, recursion, and algebra to model and analyze the changing amount of medicine in an athlete's body.
2. Review of tables, charts and graphs - an index of topics
3. Fun and Sun Rent-a-Car - students use tables, graphs, linear functions to solve a real-world problem
4. Finding Data on the Internet - You'll soon be checking facts and downloading reputable data on everything from public safety to education to agriculture to crime to economics ... you name it. This site is intended as a resource for journalists, but why not make this a source for projects. Your students can find raw data related to: aviation, demographics, weather, energy, health, immigration and more.
5. Hand Squeeze - (a data collection and analysis class experiment) - Pass a "hand squeeze" around a circle and measure the amount of time that it takes for the hand squeeze to complete the circle.
6. What Percentage of your Class is Right or Left Handed? - a data collection and analysis class experiment
7. What are Your Chances - What many people refer to as 'good luck' can actually be explained by a little knowledge about probability and statistics. Our dice game allows you to see how increasing or decreasing the number of dice rolls effects an outcome.

1. Comparing Properties of the Mean and the Median through the use of Technology - Using interactive software, students can compare and contrast properties of measures of central tendency, specifically the influence of changes in data values on the mean and median.

1. Using Graphs, Equations, and Tables to Investigate the Elimination of Medicine from the Body: Graphing the Situation This three-part example illustrates the use of iteration, recursion, and algebra to model and analyze the changing amount of medicine in an athlete's body.

1. Probabilistic Situations - a short slide show on the topic
2. What are Your Chances - What many people refer to as 'good luck' can actually be explained by a little knowledge about probability and statistics. Our dice game allows you to see how increasing or decreasing the number of dice rolls effects an outcome.
3. Probability Theory: The Layman's Guide to Probability - An in-depth but easily readable guide on probability theory, covering various aspects of the theory with a bias to gambling games and strategies. Includes working examples in an excel spreadsheet.
4. Coin Flipping - Click the Flip Coin button. Number of flips, number of heads, and probability of flipping heads is displayed. (one click per flip)
5. Another coin flipping page
6. Ken White's Coin Flipping page - flip up to 100 coins and see the total number of heads and tails. Excellent for teaching about probability.
7. Interactive Probability Tutorials: Sample Spaces and Events, Estimated Probability, Empirical Probability, Abstract Probability and Conditional Probability and Independence

1. Square Skate - Divide this figure into four identical parts (of the same shape and size) which may form the square as shown in the figure.
2. Other geometric dissections on the web - A geometric dissection is a cutting of one or more figures into pieces that can be rearranged to form other figures. Dissections are often cast as puzzles, in which the object is to use as few pieces as possible. These geometrical puzzles fall under the category of mathematical recreations.

1. Challenge Exercises: Perimeter & Area of Polygons

1. Geometry in Action - various areas in which ideas from discrete and computational geometry (meaning mainly low-dimensional Euclidean geometry) meet some real world applications.
2. 3-D Object Viewer - Students may explore a variety of 3-D objects and their accompanying 2-D views.
3. Building Houses with Side View - student constructs a block figure (dynamic, perspective drawing) to match (10 different figures)
4. Coloring 3-D sides - [UK spelling on this site] Find the red sides shown in a series of 2-D drawings and click on the right face of the 3-D model to color it red. 20 questions
5. Coloring 2-D sides - Use the colored portion of the 3-D object to color the correct side of the 2-D drawing.
6. Cube - Find out which colors will be on opposite faces of a cube whose faces are shown unfolded.
7. Guess the View - Students are given a 3-D view of an object, and then given a 2-D view of the object. Students must choose which of 6 views is being displayed from a list.
8. Plot Plans and Silhouettes - from Shape and Space in Geometry - the student task is to come up with plot plans that could match the given silhouettes. Background information is available at another page.
9. Rotating Houses - Students are presented with a 3-D figure created with blocks that can be rotated and flipped using a mouse. The figure must be rotated until it matches a 2-D representation of one of the views.

1. Lesson on Circumference of a Circle
2. Challenge Exercises: Area of a Circle
3. Circle, Sphere & Cylinder Calculator

1. The Pythagorean Theorem, Distance Formula and Intro to Trigonometry - practice activities
2. Animated Proof of the Pythagorean Theorem
3. Pythagorean theorem - In this session, you will look at a few proofs and several applications of one of the most famous theorems in mathematics
4. Pythagorean Theorem - In this investigation students will learn more about the Pythagorean Theorem and see whether or not it works for triangles that are not right triangles.

1. Geometry Java Applets - instructions for use ot the applet and a table of contents
2. Virtual Manipulative - Similar Triangles
3. A Mathematical Droodle - Two Triples of Similar Triangles

1. Solving a right triangle - This example illustrates how finding the height of the pyramid is equivalent to solving the right triangle. The virtual reality media can help students visualize the interrelation between the 3-dimensional pyramid and the 2-dimensional right triangle.
2. Pythagorean theorem and right triangle facts - given the length of three sides, determine if a right triangle is being described
3. Ratio of the Sides of a Right Triangle

1. Quadrilateral Family - Can you stand a big dose of cute? If so this page might be very helpful.
2. Working with Quadrilaterals - an interactive quiz
3. Figures and polygons - a large number of polygons are illustrated
4. Areas of Triangles, Trapezoids, and Kites - discover or demonstrate the formulas for the areas of triangles, trapezoids, and kites. (three activities)
5. Area Formula for Parallelograms - discover or demonstrate the formula for the area of a parallelogram (two explorations
6. Properties of Special Parallelograms - discover some properties of rhombuses, rectangles, and squares. (three investigations
7. Properties of Parallelograms - discover some special properties of parallelograms, then formulate the Parallelogram Opposite Angle Conjecture

1. Demonstrate the Pythagorean Theorem - from NOVA
2. Nineteen Pythagorean Theorem applets
3. Using the Pythagorean Theorem Once you know the equation a2 + b2 = c2 is true, then you can use it to solve all kinds of problems. Try the Pythagorean theorem with two other examples given on this page
4. Pythagorean Theorem - a java applet that allows students to investigate this theorem.
5. Pythagorean Theorem - This lesson will allow you to figure out the Pythagorean Theorem all by yourself.
6. An Interactive Proof of Pythagoras' theorem - This Java applet was written by Jim Morey. It won grand prize in Sun Microsystem's Java programming contest in the Summer of 1995.
7. Pythagorean Theorem and its many proofs (43 to be precise)

1. How to use the distance formula to find distances between (x,y) points

1. Determine the altitude of a flying kite
2. Object Height Calculator - Use the SCSA Object Height Calculator to calculate the height of tall shadow-casters, e.g., buildings, flagpoles, utility poles, trees, etc.
3. Out of the Shadows: The Problem of Slopes - Knowing the sun's elevation is not enough to determine the height of an object from the length of its shadow; the slope of the surface on which the shadow is being cast must also be known.
4. Rocket Altitude Determination Using the Apogee Method - this lab uses a water rocket and includes a printable sample of the angle determination device
5. Rocket Lab - a way to determine the maximum altitude the rocket reaches at the end of the coasting flight

1. Interactive online End of Course Algebra Review -
2. SOS Mathematics - Algebra lessons
3. 28 E-Lab Activities for eighth grade level mathematics from Harcourt School Publishers
4. Take a Gateway Practice Test - (close the test to come back to this list) This nine-page test was prepared by Anderson County teachers
5. AAAMath offers a large number of math review topics, each one supported by an interactive practice page (8th grade level)
6. Practical Algebra Lessons from PurpleMath - The lessons give practical tips, hints, and examples, and point out common mistakes.
7. National Library of Virtual Manipulatives - Virtual manipulatives related to the NCTM Number & Operations standard. (9-12 at the bottom of the page)
8. Practice Tests from Virginia State Standards of Learning - Select Algebra I or II, and then select 10, 20, or 40 questions.
9. Algebra Help - in-depth algebra help through algebra history, an online textbook, and various articles covering everything from basic algebra fundamentals to the latest-and-greatest algebra software help available