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McDougal Littell (ML) &
Prentice Hall (PH) Alignment

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. Choose math, associative property.

Commutative Property – BrainPop movie and interactive quiz. Choose math, commutative property.

Distributive Property – BrainPop movie and interactive quiz. Choose math, distributive property.

2.2- 2.8 properties of real numbers

.1 1.5 Introduction to Algebra

4.8 Functions and Relations

Chapters 3.12 Reasoning Strategies: Making an Organized List
7.10 Reasoning Strategies: Simplify the Problem

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. Choose math and then order of operations
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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.

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!

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

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.

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

Negative Exponents - PurpleMath.com tutorial.

Algebasics - White board solutions to algebraic topics. Good for test review and exams. Choose section 6: Exponents

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

Working With Exponents - 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 - 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.

AAA Math has a series of resources for scientific notation with explanation, practice, play and explore.

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.

Purple math – tutorial on solving radical equations

Exploring Exponents and Scientific Notation - Junior High Interactive resource. Includes a video that illustrates how math is used by paleontologists 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.

Fact Monster Tutorial on scientific notation

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

Writing Algebraic Equations - Tutorial and practice

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.

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.

1.3 Order of Operations
1.1 Symbols and Expressions

1.2 Exponents & Powers

5.1 Exponents
5.2 More With Exponents

For Purple Math:
Chapters12.3 Solving Radical Equations
Chapter 11.9 Equations with radicals

8.5 Scientific notation
5.4 Scientific notation

1.5 Translating Words into Mathematical Symbols
1-6 Writing Expressions

Motivating Math –Interactive Algebra practice with an interactive tool. Students are given a problem, ask to solve the problem on paper. They can choose to see individual steps to check their work and the solution to the problem. Choose lessons 5-8
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Mathulator - an online tool that can help students understand the concept by explaining sample problems and by evaluating whether statements are true or false. The graphing component is simple to use and can plot single functions or overlay them on previous functions.
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Algebasics - White board solutions to algebraic topics. Good for test review and exams. Choose section 4: Inequalities and section 5: absolute value.

Absolute Value Inequalities - a tutorial on solving absolute value inequalities by providing some examples and going through each one step by step. Purplemath

Purplemath Absolute Value - has extensive explanation of the absolute zero concept offers timelines for visual aids and also provides different kinds of problems where absolute value might appear.

Math Wizz: Absolute value problems - get a question and solve it. You can also get an answer with detailed explanations.

Regents Math A: Absolute value - includes a basic review, practice section and a whiteboard drill of absolute value.

Distributive Property – BrainPop movie and interactive quiz. Choose math and then distributive property.

Shodor: Algebra Quiz Game - Students have an on line quiz where the score and time elapsed is recorded on various level of solving equation problems.

Chapter 2.6 The Distributive Property

Chapters1.5T The Distributive Property
2.7 Using the Distributive Property

Equation Match - a BBC game where students have to match two equations that will give the same answer. There are three levels of play.

Interactive mathematics – algebra balance scale
This virtual manipulative allows you to solve simple linear equations through the use of a balance beam. Unit blocks (representing 1s) and X-boxes (for the unknown, X), are placed on the pans of a balance beam. Once the beam balances to represent the given linear equation, you can choose to perform any arithmetic operation, as long as you DO THE SAME THING TO BOTH SIDES, thus keeping the beam balanced. mthouse@pacbell.net
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Shodor: Algebra Four - A game for two players to for a connect four type of game where students solve equations (several difficulty levels of quadratic and/or linear equations)to drop a chip.

Algebasics - White board solutions to algebraic topics. Good for test review and exams. Choose section 2: Equations.

Quia Mathematics – Easy Algebra equations – Rags to Riches Students solve algebraic equations. For each correct answer the student moves up the money ladder. Can be played in html or Java

Tutorial - Linear equations in two variables – graphing
After completing this tutorial, the student should be able to:
1. Recognize when an equation in two variables is a linear equation.
2. Graph a linear equation.

Figure this! - solving word problems concerning linear equations and percents
Includes 80 math challenges that reinforce the math middle school students do in school. As the student proceeds through the problems, they are given more difficult problems to solve.

Math Challenge 17
Math Challenge 08

Lesson - Buy or Lease a car
Each student will come with information on 3 NEW cars they would like to drive. Then for each car the student will use the Buy/Lease calculator to see which option, buy or lease is best.


Math TV – Tune In, Roll 'Em, Episode 2, distance and Episode 1 mystery numbers
Students are given a problem and are shown how to solve it. Then, they are asked to solve a similar problem. Finally, they are given the opportunity to write their own problem and submit it to the website.
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Math TV - Percentages, Episode 3, Calculating Discounts, Check the Roll ‘em archives for Percentage problems (Episode 3) 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. Whole numbers, fractions, percentages, ratios, probability, algebra and geometry topics are explored.
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Election Night with Percent - A graphing calculator activity in which the students will work primarily with the concept of % of a number. They will calculate the number of people expected to vote when given the population and % of registered voters along with historical data on percentage of voter turnout. They will then use polls to graph predictions.
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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.
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Practice Using Percent Proportion
Tutorial for three types of questions and practice problems.

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.

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.

“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

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. Check the Roll ‘em archives for Percentage problems (Episode 3). 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. Whole numbers, fractions, percentages, ratios, probability, algebra and geometry topics are explored. (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.

Chapter 3.4 Solving Multiple-Step Equations

3.5 More on Solving Equations

For tutorial:
7.2 Graphing Equations

For Challenge 17
3.10 Using Percents

4.6 Reasoning Strategies: Use logical Reasoning

Math TV
3.12 Reasoning Strategies: Making an Organized List
7.7 Fitting Equations to Data

Math TV, percentages
3.9 Percents
3.10 Percents

Motivating Math –Interactive Algebra practice with an interactive tool. Students are given a problem, ask to solve the problem on paper. They can choose to see individual steps to check their work and the solution to the problem. Choose lessons 5-8
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LearnAlberta - a short video clip focusing on the use of math concepts in every day life. This episode deals with square roots, slope, and Pythagorean Theorem.

Cell Phone Plans - using an Excel Spreadsheet
Students investigate cell phone plans using a spreadsheet. Many math teachers are familiar with an electronic spreadsheet, but may not be using it for instruction. It can be a powerful tool for exploring many math concepts, including graphing equations.
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WebMath - This page shows students how to graph an inequality.

PurpleMath Solving Inequality, Linear and Non-linear - This is a student tutorial on solve inequalities.

Graphing Lineaar Inequalities - This site contains a general explanation of how to graph inequalities and gives students an opportunity to graph online,

ExploreLearning –interactive
There are three gismos for slope, three gismos for points in a coordinate planes, three for slope-intercept, 2 for point-slope, one for standard form and one for defining a line with 2 points. You can do one activity (gismo) per day without paying a fee

Lesson - Buy or Lease a car
Each student will come with information on 3 NEW cars they would like to drive. Then for each car the student will use the Buy/Lease calculator to see which option, buy or lease is best.

Graphing Calculator Lesson - This is a step-by-step guide for using the TI-85 Graphing Calculator to do scatter plots using data obtained from sources on the Internet. Some information will model linear functions and some will be models of exponential functions.

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.

Chapter 4.1 The Coordinate Plane
4.2 Graphing Linear Equations,
4.4 Graphing Lines Using Intercepts
4.7 Graphing Lines Using Slope-Intercept Form

Chapters
7.1 Graphing Ordered pairs
7.2 Graphing Equations
7.3 Linear Equations and their Graphs
7.4 Slope
7.7 Fitting Equations to Data

For graphing Calculator:
Chapter
5.5 Modeling With Linear Equations
Chapters:
7.3 Linear Equations and their Graphs
12.3 Linear Functions
12.4 Quadratic Functions

Slope - using GraphIt, a tool for plotting points, graphing and exploring functions. Graphit is a tool for plotting points, graphing and exploring functions.
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Interactive tool - Slope Slider
This activity allows the user to explore the relationship between slope and intercept in the Cartesian coordinate system. The applet allows the manipulation of a linear function of the form f (x) = mx + b. Using slider bars one can manipulate the line and a point along the line.

Linear Function Machine- Each activity comes with supplementary What, How, and Why pages.
What: gives background on the activity;
How: gives instructions for the activity;
Why: gives curriculum context for the activity.

Algebra Cruncher - Cool Math Algebra practice problems in various topics. Choose the first four categories.

Graphing Calculator Lesson - This is a step-by-step guide for using the TI-85 Graphing Calculator to do scatter plots using data obtained from sources on the Internet. Some information will model linear functions and some will be models of exponential functions.

Area, Peas, and Linearity - This is a graphing calculator activity in which students will receive a circle and determine how many dried peas will fit on that circle. They will also calculate the area of the circle, and using the data of the entire class, determine if there is a linear association

Linear Function Machine - This activity allows the user to explore simple linear functions; the function is determined by looking for patterns in the outputs.

Chapter
4.5 The Slope of a Line,
PH: chapter
7.4 Slope

For Linear Function Machine:
Chapter
5.1 Slope-Intercept Form
Chapter
12.1 Relations and Functions

For graphing Calculator:
Chapter
5.5 Modeling With Linear Equations
Chapters:
7.3 Linear Equations and their graphs

Parallel and Perpendicular lines - A single page tutorial on parallel and perpendicular lines.

Paralell and Perpentiduclar lines - Oswego City School District Regents Exam prep with tutorials, practice and teacher resources.

Algebra Cruncher - Cool Math Algebra practice problems in various topics. Choose the parallel and perpendicular lines practice.

Cell Phone Plans - using an Excel Spreadsheet
Students investigate cell phone plans using a spreadsheet. Many math teachers are familiar with an electronic spreadsheet, but may not be using it for instruction. It can be a powerful tool for exploring many math concepts, including graphing equations.
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Algebasics - White board solutions to algebraic topics. Good for test review and exams. Choose section 13: Systems of Linear Equations.

Finding your way around solving systems of equations.
Step-by-step use of a graphing calculator to solve the system by graphing

Practice graphing systems of equations.
Students practice graphing systems of equations without a graphing calculator.

Math TV - Algebra in the Bakery - Algebra Episode 4 Students are given a problem to solve and are shown how to solve it. Then, they are asked to solve a similar problem, using build-in tools. Finally, they are given the opportunity to write their own problem and submit it to the website.

Chapter
7.1 Graphing Linear Systems

Chapter
8.1 Solving Systems of equations by graphing
8.2 The Subtraction Method
8.3 The Addition Method

For Practice Graphing systems:
Chapter
8.1 Solving Systems of equations by graphing

Polynomials - using Digital Math
Students will add, subtract, multiply, and divide monomials and polynomials, solve a multi-step problem involving operations with monomials and/or polynomials, and solve word problems involving operations with monomials and/or polynomials
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Algebasics - White board solutions to algebraic topics. Good for test review and exams. Choose section 7: Polynomials

LearnAlberta - a short video clip focusing on the use of math concepts in every day life. This episode deals with polynomial equations.

Virtual Manipulative allowing students to use Algebra tiles to multiply and factor binomials

Cool Math - A tutorial and practice for simplifying fractions with polynomials in the numerator and denominator.

Algebasics - White board solutions to algebraic topics. Good for test review and exams. Choose section 8: Factoring

Algebasics - White board solutions to algebraic topics. Good for test review and exams. Choose section 9: Rational Expressions

Algebra Cruncher - Cool Math Algebra practice problems in various topics. Choose the Algebraic Fractions section.

Cat and Mouse
Concepts of direct variation and inverse variation can be taught using a familiar brainteaser-type math problem. Method given reinforces the concepts, while preparing the students for the algebra involved.


PBS mathsource: Students will use the graphing calculator to explore general patterns of polynomial and rational functions, and a real-world application of a polynomial function. In this lesson, students explore relationships between x-intercepts, factors, and roots of polynomial functions using the graphing calculator. Students also investigate rational functions, identifying the roots and the asymptotes as well as holes in the graphs.

Chapter
11.2 Direct and Inverse Variation

Chapter
12.5 Direction Variation
12.6 Inverse Variation

11.7 Rational Equations

Math TV – Tune In, Roll 'Em, Episode 3 rate and work
Episode 3, rate, time, work. Students are given a problem and are shown how to solve it. Then, they are asked to solve a similar problem. Finally, they are given the opportunity to write their own problem and submit it to the website.
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Mixture Problems This United Streaming video has good visuals to help students understand how to break down mixture problems involving percents. Instructors could use the video as part of a PowerPoint presentation.
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Algebasics - White board solutions to algebraic topics. Good for test review and exams. Choose section 16: Applications

Chapter
11.7 Rational Equations

Chapters:
8.5 Motion Problems
10.7 Using Rational Equations

Algebasics - White board solutions to algebraic topics. Good for test review and exams. Choose section 12: Functions

ExploreLearning Gismos – interactive tool with exploration ideas - three activities for exponential functions

PBS Mathline - This activity involves two simulations with M&M's® to explore population growth and decay

PBS Mathline -This activity builds on the population decay M&M activity, introduces NOW-NEXT or recursive equations, and uses calculators as an efficient tool for exploring population models

Math TV- Tune-in, Roll'em, ALgebra, Episode 5
Students view the solving of a problem about seating in a theater. Then they solve a similar problem and given the opportunity to

Spreadsheet – Graphs to go – An engaging sports-related problem to work with statistics as related to the algebraic Standards. After looking up specific statistical data, students represent quantitative relationships graphically and interpret the meaning of a specific part of a graph in terms of the situation represented by the graph. Students collect, organize, and represent data sets that have one variable and identify relationships within a data set by hand and through the use of an electronic spreadsheet software program.

ExploreLearning Gismos – interactive tool with exploration ideas with three activities for exponential functions with an exploration guide, Assessment Questions, and Accessibility Options

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

4.8 Functions & Relations
8.3 Graphs of Exponential functions

12.1 Relations and Functions
12.2 Functions and Graphs
12.3 Linear Functions
12.4 Quadratic Functions
There is a Gismo on quadratic functions as well

8.6 Exponential Growth
13.2 More Solving Quadratic Equations

Algebasics - White board solutions to algebraic topics. Good for test review and exams. Choose section 12: Functions

Spreadsheet – Graphs to go – An engaging sports-related problem to work with statistics as related to the algebraic Standards. After looking up specific statistical data, students represent quantitative relationships graphically and interpret the meaning of a specific part of a graph in terms of the situation represented by the graph. Students collect, organize, and represent data sets that have one variable and identify relationships within a data set by hand and through the use of an electronic spreadsheet software program.

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

4.8 Functions & Relations

12.1 Relations and Functions
12.2 Functions and Graphs
12.3 Linear Functions
12.4 Quadratic Functions

8.6 Exponential Growth
13.2 More Solving Quadratic Equations

Pythagorean Theorem - using Squaring the Triangle
Pythagorean Theorem - using Pythagorean Explorer
By manipulating the sides of a right triangle, students can repeatedly prove the Pythagorean Theorem by comparing the length of the sides and by viewing the area of the three squares formed by using the sides of the right triangle.
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BrainPop movie and interactive quiz

Project Mathematics – the theory of Pythagoras

LearnAlberta - a short video clip focusing on the use of math concepts in every day life. This episode deals with Pythagorean Theorem.

Chapter 12.6 The Pythagorean Theorem

Chapter 11.7 The Pythagorean theorem

Web Fun Brain - Try the medium & hard 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.