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Exploring Exponents and Scientific Notation - Junior High Interactive resource. Includes a video that illustrates how math is used by paleotologists in the study of dinosaurs. An interactive activity allows students to sort and then order numbers that are expressed in scientific notation. A print activity about exponents can be downloaded.

Scientific Notation - Brainpop video explains how to write scientific notation using planet distances as an example. It walks students through the process of converting positive and negative numbers into scientific notation. Can be paused or replayed. Includes an interactive quiz.

Converting Numbers to Scientific Notation - Video tutorial from the Tampa Educational Channel. One of over 30 topics specifically covering problem areas of middle school math. You may need to set up a free user account to access this site and see all topics. Designed as a homework help site, this makes an excellent link for teachers to include on their own web pages. Students can pause and replay the videos as needed.

Quick Math Scientific Notation – Very cool JavaScript tool from Quick Math that lets you plug in numbers and then it walks the user through steps that it took to arrive at the conversion to scientific notation. Eight types of problems are covered.

GoMath Tutorial on scientific notation - GoMath.com. Mini-Lessons guide students through pre-Algebra topics with graphics and examples. Students have the option of reviewing automated problems in scientific notation with step-by-step solutions or practice problems. For additional practice off-line, click on Worksheet. All worksheet are in printable format.

Scientific Notation Conversions – Write a whole number in scientific notation and vice versa. Follow the directions to learn how to convert from scientific notation to whole numbers using an online scientific calculator, then make your own examples. Uses Macromedia flash.

Scientific Notation Problem Generator – JavaScript program that lets you convert basic numbers to scientific notation.

Scientific Notation - From Argyll Math. Explore the components of scientific notation. Includes interactive exercises on converting between forms. Uses Macromedia flash.

6.9 Scientific Notation

4-9 Scientific Notation

MathStar New Media Project: Integers -- Complete lessons on adding, subtracting and multiplying integers. Includes videos best practices and actual classroom footage as well as downloadable worksheets, matboard activities and links to other sites that enhance the lessons.

MathTutor: Integers A local San Francisco Bay Area middle school math teacher has created this website in support of integer teaching and learning. There are videos, games, practice, and more.

Math Star Lesson Links: Algebraic thinking for Middle School Students. Comprehensive exploration of integers through paper & pencil exercises, flash tutorials and games. Includes downloadable journals and options for pre-and post assessment quizzes. Each lesson is divided into four or five sub-topics with at least four activities in each.

Late Delivery (Shockwave game) - Students learn about variable expression in this game of postman. Letters are used to represent numbers and students must do the math to deliver the right mail. Three levels of difficulty, onscreen help and printable prizes motivate them to learn. (Click here for CTAP unpacking of this resource).

Interactive Integers - From Learning Wave Online. Learn about the number line, comparing and ordering, absolute value, addition, subtraction, multiplication & division of integers. Includes printable worksheets, puzzles of the week,skill builder problems and highly motivating, interactive challenges from basic to advanced.

Integer Operations (Addition) - This activity from the National Library of Virtual Manipulatives uses plus-minus chips to demonstrate adding positive and negative values. Students learn that a pair consisting of one positive and one negative has a value of zero and that they effectively cancel one another.

Integer Operations (Subtraction) - This activity from the National Library of Virtual Manipulatives uses plus-minus chips to demonstrate subtracting positive and negative values and helps conceptualize the combination of positive and negative numbers.

Integers - PowerPoint Jeopardy Game

Need to review Integers with your students?  Let Alex Trabeck show the way with this ready-made Power Point that has built-in categories for addition, subtraction, multiplication and division, plus integer word problems.

Illustrating Integers - PowerPoint Download

This colorful Powerpoint presentation is a helpful introduction to addition, subtraction, multiplication and division of integers and is ideal for whole group instruction or a tutorial for students needing one-on-one help.

Circle 0, Circle 21, Circle 99 - Puzzle activities from the National Library of Virtual Manipulatives that involve adding positive and negative integers to reach specific sums.

Multiplying Integers/Quest for a Cubicle - Clever interactive game that has students work with positive and negative integers as they calculate answers to multi-step word problems, collect passwords and earn their way to their own cubicle. Three other integer games are available at this same site (Learning Wave).

Factoring Numbers – tutorials from PurpleMath.com with examples and practice problems.
Tutorial 1
Tutorial 2

1.2 Expressions & Variables
3.3 Integer Addition
3.4 Integer Subtraction
3.5 Integer Multiplication
3.6 Dividing Integers
5.1 Factoring numbers & Expressions

1-5 Add Integers
1-6 Subtract Integers
1-9 Multiply & Divide Integers
4-2 Take Integers to Whole Number Powers
5-7 Solve equations by adding and subtracting fractions.
5-8 Solve Equations by Multiplying fractions.

Fractions Pairs Game - Shockwave skills game from the BBC. Match fractions, decimals or percentage pairs and learn which are equal to each other. Three levels of difficulty, immediate feedback, onscreen help. Records how many tries it took to match all site.

Saloon Snap – Shockwave game from the BBC. Students match fractions with decimals and percentages in a race to beat “Fast Fingers Malcolm.” Includes a tutorial of “key ideas” for converting fractions, decimals and percents. Three levels of difficulty, colorful graphics that do not interfere with learning and onscreen tips make this an engaging choice for students in need of practice.

Equivalent Fractions Pointer - Students practice simplifying fractions, compare fractions and order them on a number line (Shodor.org)

Interactive Fractions - From Learning Wave Online. Learn about fractions and ratios, equivalent fractions, addition and subtraction with like and unlike denominators, multiplying fractions, reciprocals and dividing fractions. Includes printable worksheets, puzzles of the week,skill builder problems and highly motivating, interactive challenges from basic to advanced.

Interactive Decimals - From Learning Wave Online. Learn about converting and comparing fractions to decimals, rounding decimals, estimating decimal operations and addition, subtraction, multiplication and division of decimals. Includes printable worksheets, puzzles of the week,skill builder problems and highly motivating, interactive challenges from basic to advanced.

Exploring Fractions - Junior High Interactives video illustrates how math is used every day in hotels and restaurants. In an interactive activity, students explore improper, mixed and equivalent fractions by using measuring cups to obtain a target fraction. Includes printable activity.

Percent Tricks - Teach your student how to calculate percentages using the Percent Tricks method. (Handout and Lesson Plan)

Finding Percents –
Brainpop video and interactive quiz on how parts of the day are spent. (Click here for CTAP unpacking of this resource).

Practice Using Percent Proportion
Tutorial for three types of questions and practice problems.

Proportions - This Web-Based Math Education (WBE) site offers colorful, interactive tutorials in 9 topic areas of 7th & 8th grade math. Each is divided into 10 or more sub-topics. The Proportions topic area offers a visual look at adjusting proportions and scale in five activities: Serving Apples, Visualizing Proportions, Another Look at Serving Apples, Making Lemonade and Building Model Airplanes.

Solving Equations with Fractions
Use this PowerPoint from Chipman Middle School teachers (Alameda, CA) to teach your students how to solve equations with fractions.

Percent III - PowerPoint Tutorial

This highly visual tutorial by Monica Yuskaitis teaches students equivalent percents and the process for changing fractions to percents.

Percentages – (Virtual Manipulative) Discover relationships between fractions, percents, and decimals by specifying two of the three quantities (part, whole or percent) and computing results.

Percentage Converter - Virtual manipulative that lends itself to a discussion of relations among fractions, decimals, ratios and percentages.

How students spend parts of their day.
(Spreadsheet activity)

How Do You Manage Your Time? - Similar activity with extensive handouts, activities and web resources.

Fractions In The Kitchen - Following the study of the addition, subtraction, multiplication, and division of fractions, the students use the World Wide Web to locate recipes that contain fractions. This hands-on learning experience helps students recognize that fractions are used in everyday life. Students apply the rules for multiplication of fractions and for finding the least common denominator for a group of fractions. Lesson Plan includes downloadable student handouts and assessment.

Fraction Pie - Discover relationships between fractions, percents, and decimals with a fraction model applet using sliders to change values. Experiment with circles, rectangles and sets.

Fraction conversions - This activity from Shodor.org uses online manipulatives and allows the user to explore converting decimals to fractions and fractions to decimals. Includes assessment questions.

Fractions Four - Another online manipulative from Shodor.org. Practice converting fractions, percentages and decimals in a two-person competitive game.

Converting Fractions to Decimals - From AAAmath.com. Learn-Practice-Play-Explore venue for converting fractions to decimals and percents and reverse.

A Conceptual Model for Solving Percent Problems - Students use a 10 x 10 grid to represent given information and solve various percentage problems. Lesson plan from Illuminations/nctm.org is included.

Decimals, Fractions & Percents - From GoMath.com. Covers conversion of decimals and fractions and conversion of decimals and percentages in two separate exercises with interactive examples, mini-lessons and a worksheet.

Fractions & Decimals - Streaming video segments from Annenberg/PBS Learning Math series. Learn how to teach unit fractions and decimals, predicting remainders, converting decimals to fractions and watch a video on use of numbers in ancient Babylonia.

Rational and irrational numbers (Brainpop movie and interactive quiz) - Quick and simple explanations of rational numbers with examples. Built-in assessment with questions. Feedback given if questions are incorrectly answered more than once. Web of related topics included. Venn Diagram model used to show classification of types of numbers. Examples of repeating and non-repeating decimals are visually represented.

Introduction to rational and irrational numbers
Lesson, student practice and teacher resources for working with rational and irrational numbers.

Rational and irrational numbers
A PowerPoint introduction to rational and irrational numbers suitable for teacher presentation, review by students or for absent students.

Approximations of Irrational Numbers
Lesson, student practice and teacher resources for approximations of irrational numbers and discovering Pi.

Fact Monster Rational & Irrational Numbers - quick tutorial.

Rational Numbers - Video and auditory tutorial from the Tampa Educational Channel. One of over 30 topics specifically covering problem areas of middle school math. You may need to set up a free user account to access this site and see all topics. Designed as a homework help site, this makes an excellent link for teachers to include on their own web pages. Students can pause and replay the videos as needed.

5.5 Rational Numbers & Decimals

11.1 Classify Real Numbers
11.2 Pythagorean Theorem
11.3 Using Square Roots to Find Distance

Terminating & Repeating Decimals - Students learn to convert from terminating decimals to fractions and convert from single-digit repeating decimals to fractions using patterns. Problems are solved using an onscreen calculator.

Turn Repeating Decimals into Fractions- Video and auditory tutorial from the Tampa Educational Channel. One of over 30 topics specifically covering problem areas of middle school math. You may need to set up a free user account to access this site and see all topics. Designed as a homework help site, this makes an excellent link for teachers to include on their own web pages. Students can pause and replay the videos as needed.

Repeating Decimals. Annenberg Media multimedia resources to help teachers increase their expertise and improve their teaching methods.

Repeating Decimal Rings

Repeating or Terminating? - Check to see if a fraction becomes a terminating or repeating decimal.

Terminating & Repeating Decimals - From Houghton Mifflin, online coaching for teachers on introducing the concept of terminating and repeating decimals.

5.5 Rational Numbers & Decimals

5-2 Write Fractions As Terminating and Repeating Decimals
6-5 Convert Fractions, Decimals & Percents

“Percent of” Word Problems – PurpleMath tutorials and practice problems on markup and markdown.

Percent of Increase & Decrease – Learningwave.com tutorials and colorfully illustrated interactive math challenges help students learn how to use formulas to solve percent problems.

Word Problems: Percent Increase & Decrease - Excellent tutorial from Algebra Lab on solving problems that deal with increase or decrease. Includes practice problems and the ability to check your answers.

Word Problems involving Percents – WebMath.com resource lets students find a word problem below that resembles the one they need help with, fill in the blanks, then click "Solve" to find the answer. Some coaching help is offered, based on input.

Glencoe Online Self-Check Quiz on Percent of Change

Percentage of Increase calculator - simple javascript tool that lets students calculate the percentage of increase between two units. input.

Percent increase or decrease tutorial - "Out of" problems and "difference" tutorial and problems from "The Math Page" web site. Choose Lesson 30.

Then & Now: Comparing Prices and Percentages from World War II - 7th Grade Lesson Plan from the Department of Education/National D-Day Museum.

7.7 Percent of Increase or Decrease

6-8 Percent of Increase & Decrease
6-10 Apply Percent of Increase & Decrease

Perplexing Percentages - Everyday real-world math challenge from Figure This! site for the classroom or for families to do together. Students must determine if multiple successive discounts on clothing yield a lower price than one larger discount. They are given hints, things to think about and additional problems. Bilingual web site, indexed according to challenges and math strands. Each problem also contains bonus "interesting facts" related to the topic.

The Discount is Right – Web activity from Mississippi Regional Educators for calculating original price, sales price and rate of discount. Includes student handouts.

Let’s Go Shopping – Lesson plan and worksheets from Technology Innovation Challenge Grant site. Students spend $500, determine discounts, convert percents and fractions to decimals, and calculate 7.5% tax amounts on purchases. They use ads from newspapers, catalogues and magazines to locate sale items. Could also be done as a spreadsheet activity.

Calculating Discounts - Math TV. Students follow along as their TV host (IQ) works through step-by-step solutions of a word problem; then they are invited to solve an interactive word problem of their own. They can replay the video as needed. The practice area is equipped with a notepad and calculator. (Click here for CTAP unpacking of this resource).

Calculating Simple Interest – Learningwave tutorials and practice on calculating simple interest, calculating sales tax and tipping.

Markup Tutorial - Triple A Math tutorial and practice samples.

Discounts Tutorial - Triple A Math tutorial and practice samples.

Simple and Compound Interest – An overview of interest. After reviewing some basic facts about interest and the way it is calculated, students link to other sites on the Internet to try out a variety of financial calculators to experiment with the concepts introduced here. Through this activity, students will look at the basic concepts of savings and investing, and see how money can actually make more money.

Simple and Compound Interest - Interactive gizmo, exploration guide and assessment questions. Great resource to accompany investment simulation project. Good follow-up activity to direct instruction. Real world application of math. Could be used with overhead to provide visual representation of key concepts.

Compound Interest and Exponential Growth - Math.com tutorial

7.6 Markup and Discount
7.8 Simple Interest
7.9 Compound Interest

6-7 Commissions
6-9 Markups & Discounts
7-8 Compute Simple & Compound Interest
8-4 Write Function Rules Based on Commission Problems

Negative Exponents - PurpleMath.com tutorial.

Exponents- Brainpop adventure with Tim and Moby. Students discover how far it is to Mexico as they learn to convert numbers between standard and exponent form. Includes video and interactive quiz.

Working With Exponents - Flash Video tutorial from the Tampa Educational Channel. One of over 30 topics specifically covering problem areas of middle school math. You may need to set up a free user account to access this site and see all topics. Designed as a homework help site, this makes an excellent link for teachers to include on their own web pages. Students can pause and replay the videos as needed.

Working With Negative Exponents - Flash Video tutorial from the Tampa Educational Channel. One of over 30 topics specifically covering problem areas of middle school math. You may need to set up a free user account to access this site and see all topics. Designed as a homework help site, this makes an excellent link for teachers to include on their own web pages. Students can pause and replay the videos as needed.

Exponents (Multiplication, Division, Negative Exponents) - The user reviews the basic rules of working with exponents in algebra. After viewing examples of the rules, users can interactively practice solving problems with exponents.

Multiplying Exponential Expressions – Explore Learning guided practice in simplifying expressions using multiplication. Students choose the correct steps to multiply exponential expressions and use the feedback to diagnose incorrect steps.

Dividing Exponential Expressions - Explore Learning guided practice in simplifying expressions using division. Students choose the correct steps to divide exponential expressions and use the feedback to diagnose incorrect steps.

Exponents and Square Roots - downloadable PPT Lesson to use with students.

6.8 Integer Exponents
6.8 Negative and Zero Exponents

4-7 Exponents & Multiplication
4-8 Exponents and Division

How to Add & Subtract Fractions - tutorial and examples on adding and subtraction fractions with same and different denominators. Includes a practice game.

Primes, Factors & Divisibility - Adventure into the world of numbers and their properties.(Mathsyear2000.org)

Grid Game - Shockwave game from BBC Education. Find the factors, multiples, powers, prime and triangular numbers from the selection shown on the grid and see Pythagoras and Hypatia jump for joy. Key ideas and three levels of difficulty are available. The higher level also covers squares and cubes.

Fraction Frenzy (Equivalent Fractions Game) - Fun factor, motivational, engaging, clear objectives. Energizing, competitive element. Could be set up as team challenges. Good mental exercise for simplifying fractions. Immediate feedback. Challenging for GATE students. Performance is rewarded with more challenging problems and greater quantities of problems. Good review; use for minimum day, assembly day, fun Fridays activity.

Least Common Multiple – Tutorial and math workout from Math.com

Simplify Fractions – Shockwave audio and visual tutorial that takes students through the process of finding the GCF

Reducing Fractions - Animated tutorial, guided practice and assessment problems.

Multiplying and Dividing Fractions - Flash-based animated fraction tutorial, guided practice and assessment from kidsOLR.com. Includes improper fractions and mixed numbers.

Math Splat - Shockwave game from the Family Education Network with three levels of increasing difficulty. Students swat bugs from a windshield by correctly solving equivalent fraction problems. Some problems can be challenging. Would be good for work with partners. Limited number of problems available.

Equivalent fractions pointer - Experiment with the relationship between the values of equivalent fractions and areas within a square or a circle. (Shodor.org)

Fresh Baked Fractions (Game of equivalent fractions) - FunBrain activity with four levels of difficulty. Student selects entry level. Goal-oriented (24 correct answers needed for reward). Meter monitors progress toward goal. Multiple forms of immediate feedback. Clear, concise directions are readily accessible make it good for independent work. Opener or closing activity. Good for review before a test. Hones in on skill of selecting "wrong" answer, comparable to some CST questions.

Fractions with unlike denominators - Exploration and guided practice.

Fraction Sorter - Practice fractions and get a better understanding of them with two different aspects of fractions: making them and putting them in order from least to greatest.

GCF and LCM - Flash Video tutorial from the Tampa Educational Channel. One of over 30 topics specifically covering problem areas of middle school math. You may need to set up a free user account to access this site and see all topics. Designed as a homework help site, this makes an excellent link for teachers to include on their own web pages.

5.4 Simplifying & Comparing Fractions
6.1 Adding & Subtracting Fractions
6.2 Least Common Denominator6.3 Multiplying Fractions
6.5 Dividing Fractions

4-3 Prime Factorization and GCF
5.3 Add and Subtract Fractions
5-7 Solve Equations by Adding & Subtracting Fractions

Adding and Multiplying Integers – Series of lessons and quick time videos from the MathStar New Media Project that model how to teach addition and subtraction of integers. Teacher PD Lessons include video clips, worksheets, flash activities, web resources, user guides, standards, discussions etc.

Simplifying with Exponents (tutorial) - from PurpleMath.com

Exponents and Power Rules - This Gizmo® generates problems involving exponents; includes assessment questions. Pay-for-use site with five minutes of free usage per gizmo.

Multiplying Exponential Expressions - Students drag tiles with correct answers into a problem area to simplify expressions. They choose the correct steps to multiply exponential expressions and use the feedback loop to diagnose incorrect steps. Pay-for-use site with five minutes of daily free usage per gizmo.

6.7 Multiplying &
Dividing Powers
12.1 Monomials and Powers

4-7 Multiply Using Exponent Rules
4-8 Divide Using Exponent Rules
5-9 Find Powers of Numbers and
Quotients

Square Roots - Explore Learning Activity. Students explore the meaning of square roots using an area model. They use the side length of a square to find the square root of a decimal number or a whole number.

Square Roots - Tim & Moby explain square roots and find the area of a baseball diamond. BrainPop movie and interactive quiz

Square Roots Mathing Game/Concentration - Find the square root of a perfect square number by matching squares or through a game of concentration (Quia).
Game 1
Game 2

Ordering and Approximating Square Roots – Explore Learning module. Students order square roots on a number line. They approximate the square roots using the side lengths of square regions in a grid.

Looking for Squares - Best Practices video streaming lesson for teachers from the Modeling Middle School Math Project. Students find the area of a square and look at its dimensions. They complete exercises that help them determine the relationship between area and side length. The class investigates estimation strategies for finding square roots.

9.1 Square Roots

11-1 Square Roots & Irrational Numbers
11-5 Square roots of Expressions with Variables

Absolute Value – Learn about the absolute value of positive and negative integers with Tim & Moby. (Brainpop>Math>Absolute Value)

Absolute Value - A student tutorial and practice of the absolute value concept at the MathStar website.

Absolute Value - "Mathulator" is an online tool that can help students understand the concept of absolute value by explaining sample problems and by evaluating whether statements are true or false. The graphing component is simple to use and can plot simple functions. (Click here for CTAP unpacking of this resource).

Absolute Value - Explore Learning online simulation that allows students to manipulate a number line to compare the opposites and real values of numbers.

Absolute Value – video from MathMastery teaches the basics about absolute value.

Are You Absolutely Sure of the Value? - Group Activity. Students develop an understanding of absolute value through real world situations by participating in tasks that represent a situation where absolute value is appropriate. They use symbolic algebra to represent and explain mathematical relationships.

Comparing and ordering integers – guided practice and exploration.

3.1 Absolute Value
3.2 Using a Number Line to Add Integers

1-4 Integers and Absolute Value
4.6 Absolute Value of Rational Numbers

Writing Algebraic Equations - Tutorial and practice

Balance Beam Activity - Solve simple linear equations using a balance beam representation. (Click here for CTAP unpacking of this resource).

Balance Beam – Solving equations
Interactive text (itext) from Prentice Hall.  Includes a teacher QuickTime video explaining the process of balancing equations. Could be used with previous activity.

The Language of Algebra - The user can practice their understanding of algebraic terms, the correct order of operations, and how to write equations and inequalities as they take an online interactive quiz. (Math.com)

Writing Inequalities - Students learn how to write inequalities from sentences. After viewing examples, users can interactively match sentences to the equivalent inequality. (Math.com)

Using Algebraic Equations – Explore Learning gizmo. Students translate equations into English sentences and translate English sentences into equations. Read the equation or sentence and select word tiles or symbol tiles to form the corresponding sentence or equation.guided practice and exploration.

2.1 Translating Phrases Into Expressions
2.2 Combining Like Terms

1-1 Write an Expression
2-4 Write an Equation Using One Variable
2-8 Write an Inequality Using One Variable
7-8 Write an Equation Using Two Variables
8-7 Write Systems of Linear Equations
8-8 Write an Inequality Using Two Variables

Expression Maze - Practice evaluating expressions with this printable and fun maze game from Harcourt.

Lesson on Order of Operations - Tutorial on the Order of Operations followed by a set of problems.

Order of Operations - The user reviews the rules for the order of operations for a given expression. After viewing examples, users can interactively practice evaluating expressions following the rules for the order of operations.

Order of Operations - mathcasts by students simplying expressions using the correct order of operations.

Order of Operations - Exploration guide, interactive applets and assessment questions.

Order of Operations - Brainpop Movie and Interactive Quiz

Order of Operations - Video tutorial from the Tampa Educational Channel. One of over 30 topics specifically covering problem areas of middle school math. You may need to set up a free user account to access this site and see all topics. Designed as a homework help site, this makes an excellent link for teachers to include on their own web pages.

Penguins Eat MacDonald’s Sandwiches - Students will first recognize a need for an order of operations. Then they will learn about the order of operations and apply it to various problems. The acronym "Penguins Eat McDonalds' Sandwiches" will help students remember the order of operations.

Using the Order of Operations - Lesson plan shows students how to solve problems using the order of operations and why the order of operations is used. Includes downloadable files that can be used as transparencies and directions for a card game of O-Oops!

1.4 Order of Operations

1-2 Order of Operations
1-3 Evaluate Expressions with Integers
3-4 Evaluate Expressions with Decimals
4-6 Evaluate Expressions With Fractions

Interactive Number Theory - From Learning Wave Online. Learn about order of operations, commutative and associative properties of addition and multiplication, distributive property, and additive property of zero. Practice Problems. Numerous interactive challenges provide motivation and give students a rigorous workout.

Associative Property – BrainPop movie and quiz.

Commutative Property – BrainPop movie and interactive quiz

Distributive Property – BrainPop movie and interactive quiz

Properties Drill - use this Powerpoint properties drill to assess student understanding of additive, commutative, associative and distributive properties.

Multiplication Properties - Students can test their knowledge of properties with this AAAmath.com practice game. Provides instant feedback and scroring.

1.7 Commutative & Associative Properties
1.8 Distributive Properties

1-5 Additive Inverses
2-1 Commutative, Associative and Identiity Properties
2-2 Distributive Property
2-3 Simplify Variables, Justify the Process

Identifying qualitative graphs - This is a downloadable file in PDF format with a series of graphs. Students choose the graph that best describes the situation presented.

Colorful tutorials on creating, reading and interpreting five kinds of graphs - from the Oswego Test Prep Center.

Create A Graph – interactive site allows students to communicate information visually through construction of area, bar, line and pie charts with single or multiple data sets.

Bar & Line Graphs - Video tutorial on creating bar & line graphs from the Tampa Educational Channel. One of over 30 topics specifically covering problem areas of middle school math. You may need to set up a free user account to access this site and see all topics. Designed as a homework help site, this makes an excellent link for teachers to include on their own web pages.

Using Tables, Rules and Graphs – Explore Learning guided practice and exploration. Students compare the graph of a linear function to its rule and to a table of its values.

Make a Rule - This interactive activity from PBSTeacherLine Interactives demonstrates the relationship between a real-life situation, the values it presents and the mathematical equation that generates those values. This activity could be used in combination with a graphing activity.

Slope and Y Intercept - Tutorial on graphing equations and inequalities, followed by examples and practice problems. Student gets immediate feedback if they answer incorrectly.

Math Forum Web Unit on Graphs - everything you need to know about bar graphs, pie charts, pictographs and graphing linear, polynomial and exponential functions.

3.1 Integers & Absolute Value
3.8 Coordinate Plane
11.3 Graphs of Linear Functions
11.4 Intercepts
Of Graphs
11.6 Slope – Intercept Form

1-10 Represent Quantities on the Coordinate Plane
2-8 Represent Inequalities Using Graphs
8-1 Graph Relations & Functions
8-2 Graph Equations with Two Variables
8-7 Graph Systems of Equations
8-8 Graph Linear Inequalities

Explore the Multiplication of Integers (Videotape Project). The concept of multiplication of positive and negative integers is cleverly presented using backward & forward motion of students walking and forward/reverse actions of a video camera to encourage understanding, not simply rote memorization of facts. Complete lesson plan and worksheets are included.

Arithmetic Four - Practice with positive & negative whole number and integer addition, subtraction, multiplication and division. Two-player timed game with three levels of difficulty. Exploration questions are also offered as an extension of the activity.

Rational Exponents - Rules for working with fractional (rational) exponents.

Order of Operations with Exponents - Mrs. Glosser’s Lesson on order of operations with exponents. Gives a helpful mnemonic for remembering the order of operations. Includes examples and practice problems for this skill.

Multiplying Exponential Expressions - Practice simplifying expressions with assessment questions.

Dividing Exponential Expressions – guided practice simplifying expressions

3.5 Multiplying Integers
5.1 Factoring Numbers & Expressions
5.2 Greatest Common Factor
5.3 Least Common Multiple
6.8 Integer Exponents

4-2 Use Exponents to Represent Repeated Multiplication
4-4 Simplify Rational Expressions with Exponents
4-8 Use Exponents to Represent Repeated Division
5-9 Simplify Powers of Products & Quotients

Rules of Exponents - Students learn the rules of exponents and solve easy, difficult or random problems.

Multiplying Exponential Expressions - Students use tiles to simplify expressions. They are given expressions and asked to rewrite them with a single exponent. Tips are offered to further understanding. Multiple-choice questions follow for assessment.

Dividing Exponential Expressions - Students must simplify exponential expressions as described above.

6.7 Multiplying & Dividing Powers

4-7 Multiply Expressions Containing Exponents
4-8 Divide Expressions Containing Exponents
5-9 Power of Monomials
11-1 Square Root of Numbers

Understanding linear equations - One-step, single-variable, first-degree linear equation, using a variety of methods.

Quadratic and Absolute Value Functions - Exploration and guided practice

12.6 Graphing y=ax2 and y=ax3

13-2 Graphing Nonlinear Functions

Point-Slope Form of a Line – exploration and guided practice

Rate of Change in Linear Functions Using Interactive Graphs

Slope Slider - experiment with slope and y-intercept.

11.5 Slope of a Line
11.6 Slope-Intercept Form

8-2 Graph Linear Functions
8-3 Slope and Y-Intercept

Exploring Linear Data - Students model linear data in a variety of settings that range from car repair costs to sports to medicine. Students can work alone or in small groups to construct scatterplots, interpret data points and trends, and investigate the notion of line of best fit.

Zona Land - Experiment with changing the values for the slope and y-intercept and visualize how it affects the graph of the equation y=mx+b.

3.9 ScatterPlots
11.5 Slope of a Line

8-1 Graph Relations & Functions
8-3 Slope and Y-Intercept

Algebra Four Game - This activity is similar to Connect Four, and is designed for two players. The goal is to have four pieces of the same color connected either horizontally, vertically, or diagonally. To earn a piece, you need to correctly solve an algebraic equation. Solving an algebraic equation means finding the value of an unknown value in an equation that makes that equation true. For equations in the Algebra Four activity, you will be asked to find solutions to single variable equations.

Equation of Mystery Game - Solve extraterrestrial math equations in the Cargo Bay with this shockwave version of Astro Algebra from Harcourt Brace and Edmark. Click and drag tiles to complete hidden equations.

Equation Match - Shockwave game from the BBC. Students match pairs by working out the values in each equation. Includes help file of “key ideas” in solving an expression.

Modeling and Solving two-step equations – interactive math applet.

Solve two-step equations- BrainPop movie and interactive quiz

Solving Inequalities – BrainPop movie and interactive quiz

Solving Linear Equations Tutorial & Practice

Solving Inequalities - Students can read the tutorial, see examples and interactively practice solving equations and inequalities for the variables with a quiz.

Two-Step Equations and Inequalities - Students learn to solve equations that have more than one operation, see examples and interactively practice solving equations.

4.1 Solving Two-Step Equations
4.3 Solving Equations Involving Negative Coefficients
4.5 Solving Equations with Variables on Both Sides
4.7 Solving Equations Involving Decimals
6.6 Solving Equations with Rational Numbers

7-1 Two-Step Equations
7-2 Multi-Step Equations
7-3 Multi-Step Equations with Fractions & Decimals
7-5 Equations with Variables on Both Sides

Distance, Rate & Time: Tim & Moby discuss the formulas for problems involving distance, rate & time and solve a traveling train problem. (Brainpop).

Rate/Time/Distance Problem : Math TV Problem solving video. How long will it take a cyclist to catch up with her friend on her bike? Infinity Quick (IQ) leads students through word problems with step-by-step solutions, followed by an interactive word problem similar to the one in the video. Includes practice area, online calculator and notepad. (Click here for CTAP unpacking of this resource).

Understanding Distance, Speed, and Time Relationships Using Simulation Software - Students control the speeds and starting points of runners, watch a simulated race, and examine a graph of the time-versus-distance. They analyze change that occurs as they manipulate the environment.

Learn about Rate of Change in Linear Functions Using Interactive Graphs: Constant Cost per Minute

Distance, Time and Speed Graphs – guided practice and exploration with two runners.

Distance-Time Graphs – guided practice and exploration with two runners.

Distance, Rate, Time Word Problems – teacher lesson plan with suggestions for guided and independent practice.

Distance, Rate, Time - Prentice Hall tutorial with checks for understanding.

Distance, Rate & Time - Practice Word Problems that involve distance, rate and time. Hints for up to five steps in the process are given.

Distance & Rate Problems - WebMath.com offers 11 kinds of word problems dealing with rates. Students choose the problem that most closely resembles the one they would like to solve and plug in the values of the knowns. Excellent scaffolding tool that coaches users through problem solving, based on their input.

1.5 Using Formulas
4.4 Solving equations using the distributive property.
7.1 Ratios & Rates
9.5 Distance & Midpoint Formulas
11.7 Problem Solving with Linear Equations

6-2 Proportions
6-3 Scale Drawings
7-4 Write an Equation
7-5 Solve Problems Involving Rate, Time & Distance

Velocity & Acceleration: Sea World Physics

Measuring Speed with iMovie - Using a digital camcorder, iMovie, and a spreadsheet program, students measure the speed of a variety of objects (running, walking, throwing a ball). They use a spreadsheet and the number of video frames per second to compute the speed in miles per hour.

The Race - This math applet from PBS Teachers Online provides a visual and a graphical comparison of actual speed and average speed over an entire race. Within the problem there is a link to an interactive that relates a visual image of a race with its graphical representation.

Comparing Mixtures: Mixing Orange Juice - From PBS Teachers Online. Students use a java applet to “mix orange juice” concentrates with cans of water as they solve problems on ratio and proportion and explore “orangeyness” of their mixtures. Addresses the misconception that proportionality is based on additive relationships.

Units of Measurement. Powerpoint jeopardy game.

Ratio and Earned Dollars - Math TV Word Problem. How much money did each of two web site designers make? Onscreen audio and visual help is provided in setting up the problem and solving it. Once the problem is solved, students are given another problem to solve and can make use of the practice video, a scratch pad and calculator.

Quick Landscaping. Math TV Word Problem. (Area and proportional reasoning). How long will it take Jamie to mow a square lawn if we know the time it takes him to mow a smaller lawn? Onscreen audio and visual help is provided in setting up the problem and solving it. Once the problem is solved, students are given another problem to solve and can make use of the practice video, a scratch pad and calculator.

6.6 Solving Equations with Rational Numbers
7.1 Ratios & Rates
7.2 Writing and Solving Proportions

3-7 Metric System
5-5 Customary Units of Measure
6-1 Ratio and Unit Rates

Great Cartoon Blow-Up Activity. Students practice drawing to scale and create blow-ups of their favorite Flinestone characters while learning about ratio of simultude.

Scales, Ratio & Proportion - Video tutorial on working with scale drawings from the Tampa Educational Channel. One of over 30 topics specifically covering problem areas of middle school math. You may need to set up a free user account to access this site and see all topics. Designed as a homework help tutorial, this makes an excellent link for teachers to include on their own web pages. Students can pause and replay the video.

Body Ratios - Modeling Middle School Mathematics project (MMSM) is a professional development program using video lessons and Web-based Internet materials to examine mathematical concepts. Video clips and full transcripts are provided of actual classroom situations in which the lesson is taught. In this lesson on ratios and scaled drawings, educators use the story of Gulliver's Travels to pose the problem: how to make a shirt for someone who is much bigger.

Ratio & Proportion Tutorial/Practice - from the Math League.

Introduction to Ratios - math.com interactive tutoring and practice.

Estimator - Interactive activity from Shodor.org. Solve problems involving scale factors, using ratio and proportion; Students practice estimation skills by determining the number of objects, length, or area.

Scale Factors - Figure This! Math Challenge #61 : Statue of Liberty. One of a series of NCTM standards-aligned math challenges designed for students to work out with their families. Available in English and Spanish. Learn about similarity and scaling by measuring the length of your nose and your arm in the same units. Then apply this knowledge to find out if the Statue of Liberty's nose is too long. (English/Spanish).

7.3 Scale Drawings and Models

6-3 Similar Figures and Scale Drawings

Going NoWhere Fast- Math TV Video word problems. Students must solve a swimming pool problem fill and draining problem that involves work, rate and time. Onscreen audio and visual help is provided in setting up the problem and solving it. Once the problem is solved, students are given another problem to solve and can make use of the practice video, a scratch pad and calculator.

Rate of Work Problems - How long does it take Bart vs Homer to wash the family car? Colorful PPT covering rate-of-work math problems that involve the entire Simpson family.

4-5 Use Person-Days to Solve Problems
6-1 Rates and Dimensional Analysis
6-2 Proportions
6-3 Indirect Measurements

Surface Area and Volume – Manipulate a three-dimensional polyhedron to experiment with surface area and volume.

Circle: Perimeter, Circumference and Area – Resize a rectangle, circle, or square and find its perimeter or circumference and area. Superimpose a grid on the figure to estimate its area.

Find the Area of a Shape - Investigate area of parallelograms, triangles, trapezoids and circles with colorful manipulatives and answer questions to test understanding.

Designing Packages - Modeling Middle School Mathematics lesson and activity uses QuickTime video of actual teacher, group and student work to model best practices in teaching mathematics. A full transcript of the video is provided. In this activity, students learn what surface area and volume mean mathematically by designing packages that will house 24 blocks (representing toys) and calculating the surface area of prisms.

Shape Explorer - Students test their skills at calculating the area and perimeter of a given figure. Includes exploration questions and teacher coaching materials. (Shodor.org)

Learn about Length, Perimeter, Area, and Volume of Similar Objects by Using Interactive Figures - This interactive activity allows users to explore the relationship between volume and surface area of a given shape.

Using Spreadsheets to find area and perimeter – Classroom exercises, activities and instructions for teachers.

Length, Perimeter, Area & Volume - NCTM Illuminations Interactive. Students experiment with rectangles of different shapes and scale factors relative to side lengths and observe and interpret changes in perimeter and area. In Part II, they also learn about side length, volume, and surface are of similar solids.

Automatic Circle, Sphere & Cylinder Calculator (Includes Formulas)

Classify Polygons - Annenberg Media/Learning.org activity. Tutorial and practice in grouping polygons according to certain properties.

1.5 Using Formulas
1.8 Distributive Property
4.5 Solving Equations with Variables on Both Sides
8.6 Area Formulas
10.1 Circum-ference and Area of a Circle
10.3 Surface Area of Prisms & Cylinders

9-3 Classify Polygons
10-1 Area of Parallelograms
10-2 Area of Triangles and Trapezoids
10.3 Area of Circles
10.5 Surface Area of Prisms and Cylinders
10-6 Surface Area of Pyramids, Cones & Spheres

Pyramids - Tutorial, examples and workout problems for calculating the volume of a pyramid.

Area and Volume of a Pyramid - Shockwave animation of area and volume of a pyramid, with formulas.

Area of a Trapezoid - The Web-Based Math Education (WBE) site offers colorful, interactive tutorials in 9 topic areas of 7th & 8th grade math. Each is divided into 10 or more sub-topics. The Area & Perimeter of a Trapezoid activity allows students to move the four vertices of a figure to make their own trapezoid and creates awareness that the area of a trapezoid can be calculated by adding the areas of the two triangles together. There are diagram exercises to complete, questions to answer (immediate feedback is given), and a summary writing activity, complete with writing tablet.

1.5 Finding Perimeter & Area
8.6 Areas of Polygons
10.6 Volumes of Pyramids & Cones

10-1 Area Using Parallelograms
10.2 Area Using Triangles & Trapezoids
10-3 Area Using Circles

Surface Area of a Tetrahedron - Using a digital camcorder and iMovie, students practice reciprocal teaching by making a 3-minute movie on a real world application of math.

Volume of a Cube - NCTM Illuminations Interactive. Students determine the volume of a box by manipulating unit cubes.

Surface Area and Volume - Students manipulate three-dimensional polyhedra to experiment with surface area and volume. Includes worksheets and discussion.(Shodor.org)

Similar Solids - Interactive Chalkboard PPT lesson on similar solids and three dimensional figures, Students identify the solid, name bases, faces, edges and vertices and calculate the volume of prisms and cylinders.

Covering the Plane with Rep-Tiles - In this activity, students discover and explore a special kind of tiling of the plane. Rep-tiles are geometric figures such that n copies can fit together to form a larger, similar figure.

Linking Length, Perimeter, Area, and Volume - The first is an on-line pre-activity to build students’ understanding of ratio, proportion and similarity. Another on-line pre-activity follows with similarity and scale factor. The third lesson involves students comparing perimeter and area ratios of similar rectangles with various scale factors using an e-manipultive which is the basis for the fourth and fifth lessons. The fourth lesson focuses on the relationship between scale factor and volume. The final lesson highlights the surface area for rectangular prisms in relationship to scale factor.

Surface Area and Volume - This lesson is designed to introduce students to surface area and volume.

Student-made videos - These movies were made by students to teach a math concept.

8.9 Similarity
10.4 Volume of a Prism
10.7 Volume of a Sphere

10-5 Surface Area of Prisms & Cylinders
10-6 Surface Area of Pyramids, Cones & Spheres
10-9 Volume of Pyramids, Cones & Spheres

Side Length, Volume, and Surface Area of Similar Solids - Java Applet that lets the user manipulate the scale factor that links two three-dimensional rectangular prisms and learn about the relationships among edge lengths, surface areas, and volumes.

Comparison of volumes with Similar Solids - Lesson, practice and teacher resources for determining volumes of similar solids (Regents Exam Prep).

10.8 Similar Solids

5-5 Convert Measures Using Dimensional Analysis
6-1 Convert Between Measurement Systems

Coordinates Game - Java Activity allows the user to plot points on the coordinate plane and to read the coordinates of a point plotted by the computer.

Maze Game - Users practice their point plotting skills by moving a robot through a minefield to a target location. Moves are accomplished by specifying the coordinates of the new location. In order to win, the path must not cross a mine.

Mathsnet: Interactive Rotations, Reflections and Translations - Students observe reflected shapes, answer quiz questions on reflection, practice creating reflections and mirror lines. Includes sections for investigating rotations and translations.

3.8 The Coordinate Plane
8.7 Line Reflections
8.8 Translating in a Coordinate Plane

9-8 Translations
9-9 Symmetry & Reflections
9-9 Rotations

Pythagorean Theorem - video tutorial on understanding the Pythagorean theorem. One of over 30 topics specifically covering problem areas of middle school math. You may need to set up a free user account to access this site and see all topics. Designed as a homework help tutorial, this makes an excellent link for teachers to include on their own web pages. Students can pause and replay the video.

Geoboard: Pythagorean Theorem – guided practice and exploration using and interactive geoboard.

Pythagorean Explorer – Find the length of a triangle and check answers.

Walk through a visual proof of the Pythagorean theorem

Figure out the Pythagorean Theorem - This lesson is intended for students to work on their own and provides java applets for them to figure out the theorem on their own and understand it. It includes, tips, practice problems using onscreen manipulatives and history about Pythagoras.

Animated Proof

Explore Learning: Pythagorean theorem – Interactive guided exploration.

Pythagorean theorem – What is it and how does it work? Powerpoint walkthrough suitiable for teacher presentation or student review.

Squaring the Triangle - learn how the Pythagorean Theorem works through investigating the standard geometric proof.

9.3 Right Triangles
9.3 Pythagorean Theorem

11-2 Pythagorean Theorem
11-3 Distance and Mid-Point Formulas
11-5 Sides of Special Right Triangles

Congruence Theorems - Explore the conditions that guarantee uniqueness of a triangle, quadrilateral, or pentagon regardless of location or orientation. Each set of conditions results in a new congruence theorem.

Explore Learning: Congruence in Right Triangles - apply constraints to right triangles, drag their vertices and determine conditions of congruence.

Proving Triangles Congruent – guided practice and exploration.

Congruent triangles - This virtual manipulative allows students to construct two triangles from various combinations of sides and angles. You can choose to work with any one of four different cases.

Math & Navigation - Free Interactive Boxer Math Archived Math Lesson. Knowing about similar triangles can help you to calculate the distance to a town on the horizon. Use your knowledge of lines, slope and coordinate planes to help you to navigate a ship safely through dangerous waters.

8.1 Points, Lines & Planes
8.2 Naming, Measuring & Drawing Angles
8.5 Polygons & Congruence

9-2 Congruent Angles
9-2 Congruent Figures
9-7 Use Congruence to Make Constructions

Investigating Parallel Lines and Planes – exploration and guided practice with parallel, intersecting and skew lines.

Points, Lines & Intersections - Definitions, explanations and examples for lines, points, intersections, line segments, rays, endpoints and parallel lines.

Geometry in Tessellations - Students examine tessellations and their geometric properties. The activity and discussion may be used to develop students' understanding of lines, planes, angles, and polygons.

Intermath Dictionary: Skewed Lines - Description of skew lines along with a visual representation. Use the links to related terms, everyday examples, more information, and the interactive checkpoint involving skew lines located in the left-hand column.

8.1 Points, Lines & Planes

9-1 Intersecting, Parallel and Skew Lines
10-4 Elements of 3-Dimensional Figures

Exploring Data - curriculum support materials for teachers of introductory statistics. From Boxplots and datasets to linear regression and probability, find everything you could possibly need. Many topics contain worksheets and downloadable files.

Fast Food and Descriptive Statistics – students collect and analyze data of different foods using Excel Spreadsheets and answer questions.

Olympic Records Through Time – graphing activity that shows trends in performance over time.

Create A Graph – interactive site allows students to communicate information visually through construction of area, bar, line and pie charts with single or multiple data sets.

Growing, Growing, Graphing! - Population Growth lesson plan from WNET Thirteen Ed Online. Nicely detailed lesson plan with teacher resources, student activities, and tips for doing this activity as a one-computer classroom, with multiple computers or in a computer lab.

Line Plots – guided practice and exploration with comparison data.

Trashketball - Modeling Middle School Mathematics site uses QuickTime video lessons to model best practices. In this game of "trashketball," students take their best shots with their left hand and right hand, then compare data sets. They learn about stem-and-leaf plots and analyze the data to find the mean, median, mode, cluster etc. Includes discussion and reflection.

4.8 Measures of Central Tendency
5.8 Stem-And-Leaf Plots
9.9 Box-And-Whisker Plots

12-1 Frequency Tables, Lines, Plots
12-2 Box-And-Whisker Plots
12-3 Use Graphs to Persuade

Scatter Plots - Students collect data about two different characteristics within a population and plot data using virtual manipulatives to investigate whether there is a relationship between two variables.

Correlation – explore correlation coefficients and estimation of line of best fit.

3.9 Scatter Plots

8-5 Scatter Plot
8-6 Use Scatter Plots and Trend Lines to Solve Problems

Mean, Median, and Mode video - At the bottom of this page is a catchy tune that your students will enjoy to review the concepts of mode, mean, and median.

Box Plots - Students explore maximum, minimum, median, upper quartile, lower quartile and outliers while learning how to draw box plots.

The Pizza Palace - Students (in groups of 3) design a pizza and use a calculator to find out its cost. They record the mean, median and mode for the prices of three pizzas and demonstrate positions on a box plot.

Box Plot/Histogram - Students record data from a data set and use a box plot or histogram to represent their data.

Box and whisker plots – explore the relationship between data points and box-and-whisker plots.

Stem & Leaf Plotter - This activity generates a stem and leaf plot from data that the user enters. Users must have data to enter in order to effectively use the applet. This activity would work well in groups of two to four. Includes exploration questions and discussion.

If A Tree Fell In the Woods, Would It Be Part of A Stem-And-Leaf Plot? - Students will learn about stem-and-leaf plots and compare the visual display of these plots with those of bar, line, and pie charts in order to determine when stem-and-leaf plots offer the best option for displaying a data set.

5.8 Stem-And-Leaf Plots
9.9 Box-And-Whisker Plots

12-2 Find Quartiles, Minimum, Maximum, and Medium for Box-And-Whisker Plots