Standard

Resource (Click on the icons to see the legend)

McDougal Littell (ML) Alignment
Harcourt grade 6 (H) Alignment
Scott Foresman, grade 6 (SF) Alignment

Visual Fractions - An on-line tutorial that offers instruction and practice in identifying, renaming, and operating on fractions. All examples are modeled with number lines or circles.

Factor Trees – Power Point slideshow that could be used for direct instruction or small group instruction entitled Growing a Factor Tree - Click on Factor Trees to download the slideshow

Fraction Tracks - From Annenberg/PBS Learning Channel. Learn how to play a game of "Fraction Tracks" with your students to encourage mathematical discourse and to enhance the players' understanding of fractions. Sample plays and possible moves are given. There is an option for watching a video of the game in a classroom setting.

Comparing and Ordering Decimals can be good for your health. "Mathnavox" interactive video (Alberta CA Dept of Education) allows users to compare fat content of grocery products to find the most nutritious items. Students drag and drop decimal numbers onto a number line. Assessment tools are provided as a downloadable file.

Integer Arithmetic - Interactive online math lesson from the National Library of Virtual Manipulatives site. Includes ideas and examples to help teachers introduce their pre algebra students to the concepts, applications, and skills associated with integer operations. Students can manipulative onscreen tools, write mathematical sentences and explore mathematical patterns. Teacher section gives research-based strategies and suggestions for application of the lesson.

Comparing and Ordering Decimals. Use grids to model decimal numbers and compare them graphically. Then compare the numbers on a number line. Five minutes of free activity with this gizmo from Explore Learning.

Equivalent Fraction Circles - Interactive exercise in equivalent fractions from Visual Math Learning web site. Students find fractions on the left and right sides of the page that are equivalent to the fraction in the center and drag them to the interior of the large circle, where they get immediate feedback and visually see the representation. There are 16 choices and 4 right answers in every grouping.

Spy Guys: Understanding Integers . Select Lesson 6. Covers positive and negative integers and the number line. These video and auditory tutorials from LearnAlberta.CA allow teachers and students to explore math concepts, pause and replay. Includes interactive exercises that provide immediate feedback. Printable worksheets, parent notes, and a glossary are included for each lesson. In addition to the lessons, there are sections on problem-solving strategies.

Spy Guys: Decimals - Select Lesson 1. Spy Guys Interactive 6th Grade Math Lessons (Alberta CA). Colorful tutorials with narration on decimal basics, interactive quizzes (that check for understanding and provide immediate feedback), printable student activities to reinforce the lesson, helpful notes for parents on what students are expected to know. Pause & Replay is available for each screen.

Spy Guys: Solving Problems with Decimals - Select Lesson 5. Spy Guys Interactive 6th Grade Math Lessons (Alberta CA). Colorful tutorials with narration on solving problems with decimals, interactive quizzes (that check for understanding and provide immediate feedback), printable student activities to reinforce the lesson, helpful notes for parents on what students are expected to know. Pause & Replay is available for each screen. .

Learning Wave INTEGERS: Concepts & Applications - Interactive Mathematics by LearningWave.com Covers number line, pairing and ordering, absolute value, addition, subtraction, multiplication, division, equations, and an interactive skills review. There is a pre-test, post-test and clever interactive games and exercises that allow students to apply what they have learned. Includes printable worksheets, puzzles of the week,skill builder problems and highly motivating, interactive challenges from basic to advanced.

Learning Wave DECIMALS: Concepts & Applications - Interactive Mathematics by LearningWave.com Covers converting and comparing fractions to decimals, rounding decimals, estimating decimal operations, addition, subtraction, multiplication and division of decimals and an interactive skills review. There is a pre-test, post-test and clever interactive games and exercises that allow students to apply what they have learned. Includes printable worksheets, puzzles of the week,skill builder problems and highly motivating, interactive challenges from basic to advanced.

Learning Wave FRACTIONS: Concepts & Applications - Interactive Mathematics by LearningWave.com Covers fraction facts, fractions and ratios, equivalent fractions, converting fractions, addition & subtraction with like and unlike denominators, subtraction with borrowing, multiplying fractions reciprocals, dividing fractions. and and an interactive skills review. There is a pre-test, post-test and clever interactive games and exercises that allow students to apply what they have learned. Includes printable worksheets, puzzles of the week,skill builder problems and highly motivating, interactive challenges from basic to advanced.

Compare and order decimals, fractions, percents - Figure This! Math Challenge #14 :Batting Averages. One of a series of NCTM standards-aligned math challenges designed for students to work out with their families. Available in English and Spanish. Figure out who has the highest batting average between two players.

Compare and order decimals, fractions, percents - Figure This! Math Challenge #25 : Grape Juice Jungle . One of a series of NCTM standards-aligned math challenges designed for students to work out with their families. Available in English and Spanish. Compare two or more quantities to find out which grape juice recipe is juicier.

Compare and Order Numbers - Shockwave audio and visual tutorial from Harcourt Publishers. Each screen includes a replay button.

Comparing Fractions - NCTM/Illuminations Fraction Model applet explores several models for representing fractions with adjustable numerators and denominators. You may also download an interactive Excel file.

Addition & Subtraction of Fractions using a TI Calculator and number line - Download instructions for using the number line app for a dynamic, visual representation of the number line that will help students build skills in comparing decimals, fractions and percents. Add and subtract integers with vector and arithmetic updates of the expression.

A Gigabyte of Music: How Much is That? Students gain experience in converting equations to fractions and converting one unit of measure to another as they solve the problem "How many CD's does it take to download 5 gb of music?" The activity is provided by PBS.org and is tied into a news article from Jim Leher on illegal downloading of music by students. This activity can also be done on a TI calculator.

Decimals: Concepts & Computation - PPT presentation.

Display Fractions in an Excel Spreadsheets - Microsoft Excel can display fractions using numerators and denominators, rather than as decimals. When students need to see real fractions in cells, let Excel take care of the formatting for you. This special way of formatting numbers will especially come in handy when you need to add, subtract, multiply, or divide fractions.

Jenn's Fish Tank: Difference of Two Fractions - Math TV problem solving video. Students must calculate the volume of water that a fish tank can hold. They know how much water Jen has added and how full the tank currently is. Onscreen audio and visual help is provided in setting up the problem and solving it. Once it is solved, students are given another problem to solve and can make use of the practice video, a scratch pad and calculator.

Chapter 1 Algebra and Decimals
1.5 Comparing and Ordering Decimals
Chapter 2 Number Relationships and Fractions
2.6 Comparing and Ordering Fractions
2.7 Mixed Numbers and Improper Fractions
2.8 Connecting Decimals and Fractions
Chapter 4 Positive and Negative Numbers
4.1 Integers and the Number Line
4.8 Comparing Positive and Negative Numbers
Technology: Using Calculators and Computers
Page 9 Activity 2.3 - Fractions and Mixed Numbers modeling using a computer draw program
Page 11 Activity 2.8 Simplifying and rewriting fractions using a graphing calculator

3-1 Represent, compare, and Order Decimals, pages 52-55
8-3 Compare and order Fractions, pages 166-167
11-2 Rational Numbers, pages 230-233

1-2 Comparing & Ordering Decimals, pages 1-2
4-8 Comparing & Ordering Fractions & Mixed Numbers, pages 151-153
6-1 Comparing & Ordering Positive & Negative Numbers, pages 218-220

Thinking blocks - Students learn how to solve challenging word problems dealing with ratio and proportion using Thinking Blocks. Thinking Blocks is an engaging, interactive math tool developed by classroom teachers to help students learn how to solve multi step word problems. Using brightly colored blocks, students model the relationships among the components of each word problem.

Brain POP Videos – Click on Ratios

Brain POP – Click on Proportions

Ratio & Proportion - 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. Requires Flash 6.

Exploring Rate/Ratio/Proportion - this multimedia resource from Junior High Interactives (learnalberta.ca) examines rate, ratio and proportion and shows how they play a role in photography. Using the interactive components, students explore ratio equivalencies by enlarging and reducing images to compare an original ratio and a target ratio. A print activity is included.

PBS Mathline: the Math of Bicycles- Lesson plan/offline activity. Students explore ratios by comparing bicycles to tricycles. They describe the ratio of the relationship between one turn of the pedal and one turn of the wheel, and define the ratio between number of teeth to sizes of the gears.

Spy Guys: Percents . Select Lesson 4. These video and auditory tutorials from LearnAlberta.CA allow teachers and students to explore math concepts, pause and replay. Includes interactive exercises that provide immediate feedback. Printable worksheets, parent notes, and a glossary are included for each lesson. In addition to the lessons, there are sections on problem-solving strategies.

Spy Guys: Ratio. Select Lesson 3. These video and auditory tutorials from LearnAlberta.CA allow teachers and students to explore math concepts, pause and replay. Includes interactive exercises that provide immediate feedback. Printable worksheets, parent notes, and a glossary are included for each lesson. In addition to the lessons, there are sections on problem-solving strategies.

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.

Ratios and Equivalent Ratios - From Math.com. In-depth tutorial with java applets, visuals, examples and workouts. Could be used at home or in class for review or reteaching.

Proportions - From Math.com. In-depth tutorial with java applets, visuals, examples and workouts. Could be used at home or in class for review or reteaching

Using Scale Drawings - Floorplan Your Classroom - The activities presented here allow students to study mathematics by doing real-life architecture to walk through the floor plan design process. Look for measurement and drawing tips as you create a scale drawing on graph paper or using a computer drawing program.

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.

Ratio & Proportions - Figure This! Math Challenge #47 : VCR Recording Tape . One of a series of NCTM standards-aligned math challenges designed for students to work out with their families. Available in English and Spanish. Develop proportional reasoning by solving this problem related to VCR Tape recording settings.

Great Cartoon Blow-up Activity Students practice drawing to scale and create blow-ups of their favorite Flintstone characters while learning about similarity

Proportional Reasoning: The Mixture Blues - Session 4, Part B. Annenberg Media Lesson for teachers to improve their own teaching practices. Includes excellent teacher training videos at the beginning of each session. In "Mixture Blues," teachers compare mixtures of blue liquid and clear water and predict which set would be bluer. The video includes reflection on what has been learned.

Proportional Reasoning: QuadPerson - Session 4, Part C. Annenberg Media Lesson for teachers to improve their own teaching practices. Includes excellent teacher training videos at the beginning of each session. The lesson includes a scaling exercise with "Quadperson" that could be used with students and the video shows teachers using it in a learning situation. Participants learn the significance of relative vs. absolute change.

Proportioner - A free resource from the Concord Consortium's "Seeing Math" Project. Proportioner allows students to specify image dimensions graphically, numerically or using a scale factor. They can duplicate images and modify comparisons or use one image to "paint" another. Interactives can be downloaded for offline use. There is a user's guide, warm-up and sample activities.

The Right Ratio of Rest: Proportional Reasoning - .In NASA CONNECT™: The Right Ratio of Rest: Proportional Reasoning, students learn about the human circadian clock and how it affects peoples’ daily lives. Students see how NASA scientists are studying the circadian timing system to improve astronaut’s physical and mental tasks while working in space. Conducting research to help astronauts sleep better in space also helps people on Earth with similar problems. The hands-on activity in this guide allows students to demonstrate how fractions, decimals, and percents are related and further develop their proportional reasoning skills. Includes a 28-minute video that can be paused at appropriate intervals.

Chapter 6 Ratios and Proportions
6.1 Ratios
6.5 Scale Drawings
Chapter 7 Percents
7.1 Percents, Fractions, and Decimals
Technology: Using Calculators and Computers - Page 25 – Activity 6.5 – using a computer dr aw program to make a scale drawing.

20-1 Ratios and Rates, pages 374-376
20-4 Algebra: Ratios and similar figures, pages 380-383
20-6 Algebra: Scaled Drawings, pages 387-398
20-7 Algebra: Maps, pages 390-391
27-2 PRoblem Solving Strategy: Make a Model, pages 506-507

8-1 Ratios and Equivalent Ratios, pages 306-307

Ratio and Proportion Game - Find out how to use ratio and proportion in everyday life. Students can view tutorials on 6 related topic areas or play a shockwave game from the BBC to practice writing ratios.

Understanding Rational Numbers and Proportions - students use real-world models to develop an understanding of fractions, decimals, unit rates, proportions, and problem solving. Illuminations/NCTM classroom activities.

Population Ratios - An interdisciplinary project (mathematics, social studies) where students choose a county in the United States and using ratios convert the statistics into meaningful numbers. Illuminations/NCTM classroom activity.

Proportions -using a BrainPop video
Students will write proportions to solve real problems. Click here to see the unpacking of this resource.

Rags To Riches -"Millionaire" style game from Quia that quizzes students on proportions.

Solving Proportions - Glencoe Online Study Tool with hints for solving proportion problems.

Solve Proportions - Harcourt School Publishers tutorial on solving proportions. Includes auditory reinforcement and the ability to replay screens.

Scales, Ratio & Proportion - Video and auditory 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. Flash 6 required.

Scales, Ratio, Proportion Jeopardy Game - Use this ready-made PowerPoint Jeopardy game from Taft Middle School teachers to test student knowledge on ratios and unit rates, proportions, similar figures,scale drawings and probability.

Chapter 6 Ratios and Proportions
6.2 Solving Proportions
6.3 Writing Proportions
6.4 Similar Polygons
6.5 Scale Drawing
Technology: Using Calculators and Computers - Page 24 – Activity 6.4 – using a computer draw program to investigate similar polygons.
Possible Activity using Internet for weather information on page 306 in textbook

20-9 Problem Solving Strategy: Write an Equation, pages 378-379
20-5 Algebra: Proportions and Similar Figures, pages 384-386
20-6 Algebra: Scaled Drawings, pages 387-389
20-7 Algebra: Maps, pages 390-391
24-1 Algebra: Customary Measurement, pages 454-455
24-2 Algebra: Metric Measurement, pages 454-455
24-3 Relate Customary and Metric, pages 456-457

8-2 Proportions, pages 308-309
8-3 Solving Proportions using Cross-Products, pages 310-311
8-8 Similar Figures, pages 322-323
8-9 Scaled Drawings, pages 324-326

NS 1.4 Calculate given percentages of quantities and solve problems involving discounts at sales, interest earned, and tips.

MR 2.4 Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning.

Election Night with Percent - A graphing calculator acclivity 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.

Using Percentages - Use this tutorial to calculate discounts and sale prices and work with percents to understand demographics.

Grid & Percent It -.Students use a 10x10 grid to solve percent problems (Illuminations/NCTM activity).

Brain POP Videos – Click on Finding Percents

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Moneyopolis - This site offers some suggestions for middle schoolers on saving and budgeting money. There is a money management spreadsheet for kids you can print off, a set of financial planning steps and other useful resources to help you plan your earning and spending habits. The teacher section has lesson plans based on NCTM standards. The Moneyopolis game requires a student login but also complies with COPPA online privacy requirements.

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

Let’s Go Shopping – Lesson plan and worksheets from Beacon Lesson Plan Library. 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 Problem Solving Videos. 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 to see the unpacking of this resource.

Percentages - Figure This! Math Challenge #17 : Perplexing Percentages . One of a series of NCTM standards-aligned math challenges designed for students to work out with their families. Available in English and Spanish. Calculate the effect of consecutive discounts and determine which sale price is a better deal. Discover the relationship between fractions and percentages and when percentages might be more useful than fractions.

Markup Tutorial - AAAmath.com math lesson. Learn, practice, play, explore.

Discounts Tutorial - AAAmath.com math lesson. Learn, practice, play, explore.

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. Subscription-based site. Explore Learning provides five free minutes of usage of any gizmo in their library.

Chapter 7 Percents
7.1 Percents, Fractions, and Decimals
7.2 Finding a Percent of a Number
7.3 Large and Small Percents
7.6 Simple Interest
7.7 Discounts and Sales Tax
Technology: Using Calculators and Computers - Page 27 – Activity 7.3 – using a calculator to find the percent of a number.
Page 28-29 – Activity 7.4 – using a calculator to solve percent problems.
Page 31 – Activity 7.6 – using a graphing calculator to calculate simple interest.

21-3 Estimate & Find Percents of a Number, pages 402-405
21-5 Discount and Sales tax, pages 408-411
21-6 Simple Interest, pages 412-413

9-3 Finding a Percent of a Number, pages 350-351
9-5 Mental Math: Finding a Percent of a Number, pages 354-355
9-7 Problem-Solving Strategy: Write an Equation, pages 360-361
9-8 Finding Sales Tax, pages 362-363
9-9 Computing Discounts, pages 364-365
9-10 Problem-Solving Application: using Interest Formula, pages 366-367

Middle School Lessons & Materials for Teachers - Fractions - The lessons and materials available here come from a variety of sites and organizations. Some include offers for video or software, and some are lesson plans

Math TV Problem Solving Videos- to find an interactive video lesson on fractions - click on Roll’Em (the archive) and then select Fractions button. Click on Episode 1-differnce of two fractions

Explore Learning Gizmo - Fractions with Unlike Denominators - In guided exploration, users find the sum or difference of two fractions with unlike denominators using graphic models. Find the least common denominator graphically. Subscription-based site but five minutes of free usage are allowed on each gizmo.

Visual Fraction - An on-line tutorial that offers instruction and practice in identifying, renaming, and operating on fractions. All examples are modeled with number lines or circles.

Adding and Subtracting Rational Fractions - online review or homework help from regentsprep.org.

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

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.

Exploring Fractions - Junior High Interactives video from http://www.learnalberta.ca 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.

Chapter 3 Fractions and Their Operations
3.1 Adding and Subtracting Fractions
3.2 Using a Least Common Denominator
3.3 Adding and Subtracting Mixed Numbers
3.4 Multiplying Fractions and Mixed Numbers
3.5 Dividing Fractions and Mixed Numbers
Technology: Using Calculators and Computers - Page 13 Activity 3.2 – adding and subtracting mixed numbers using graphing calculators.
Page 14 Activity 3.4 – teacher demonstrates how to divide fractions using a graphing calculator.

9-2 Math Lab: Model Addition & Subtraction, pages 180-181
9-3 Add and Subtract Fractions, pages 182-185
9-4 Add and Subtract Mixed Numbers, pages 186-189
9-5 Math Lab: Rename to Subtract, pages 190-191
9-6 Subtract Mixed Numbers, pages 192-193
10-2 Multiply Fractions, pages 206-207
10-4 Math Lab: Division of Fractions,m pages 208-209
10-5 Divide Fractions and Mixed Numbers, pages 210-213
10-6 Problem Solving Skill: Choose an Operation, pages 214-215

5-2 Adding & Subtracting with Like Denominators, pages 176-178
5-4 Adding & Subtracting with Unlike Denominators, pages 182-185
5-5 Solving Addition & Subtraction Equations, pages 186-187
5-7 Multiplying Fractions & Mixed Numbers, pages 192-193
5-8 Dividing Fractions & Mixed Numbers, pages 194-195
5-10 Solving Equations Using Fractions, pages 198-199
5-11 Problem Solving Application: Using Fractions and Mixed Number, pages 200-201

Classroom Activity - Company is Coming students will be able to multiply fractions & convert fractions in a pancake recipe

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.

Spy Guys Improper Fractions and Mixed Numbers. Click on Lesson 2. This video and auditory tutorial from LearnAlberta.ca allows teachers and students to explore math concepts, pause and replay. Learn how to show fractions and mixed numbers on a number line. Includes interactive exercises that provide immediate feedback. Printable worksheets, parent notes, and a glossary are included for each lesson. In addition to the lessons, there are sections on problem-solving strategies.

Multiplying Fractions and Mixed Numbers - Step-by-step tutorial from math.com. Includes practice and examples.

Fractions, Percents & Ratios: Multiplication and Division of Fractions - Session 9, Part A. Annenberg Media Lesson for teachers to improve their own teaching practices. Includes teacher training videos at the beginning of each session. Some of the applets could be used with students.

Fractions, Percents & Ratios: Decimals & Percents - Session 9, Part B. Annenberg Media Lesson for teachers to improve their own teaching practices. Includes teacher training videos at the beginning of each session. Some of the applets could be used with students.

Chapter 3 Fractions and Their Operations
3.4 Multiplying Fractions and Mixed Numbers
3.5 Dividing Fractions and Mixed Numbers

10-2 Multiply Fractions, pages 214-215
10-3 Multiply Mixed Numbers, pages 202-205
10-4 Math Lab: Division of Fractions, pages 208-209
10-5 Divide Fractions and Mixed Numbers, pages 210-213
10-6 Problem Solving Skill: Choose an Operation, pages 214-215
10-7 Algebra: Fraction expressions and Equations, pages 216-217

5-7 Multiplying Fractions & Mixed Numbers, pages 192-193
5-8 Dividing Fractions & Mixed Numbers, pages 194-195

Adding and Subtracting Integers - using a BrainPop video
Standard: Grade 6: NS 2.3 These two interactive lessons address adding and subtracting integers with more than one digit.

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Integer Multiplication - using a United Streaming video, Multiplying Signed Numbers The selected videos provide a concise explanation, with examples, for multiplying both positive and negative integers. Students will have an understanding of the multiplication of integers, both positive and negative, and be familiar with the rules governing integer multiplication.

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Multiplying Integers - using MathStar New Media Project, Integers 3 Following video modeling, students will complete lessons on adding, subtracting and multiplying integers.

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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.

Virtual Manipulatives - Number Line Bounce

Everyday Math Homework Help - Adding and Subtracting Integers

Integers: Concepts & Applications - Interactive Mathematics by LearningWave.com Covers number line, pairing and ordering, absolute value, addition, subtraction, multiplication, division, equations, and an interactive skills review. There is a pre-test, post-test and clever interactive games and exercises that allow students to apply what they have learned.

Math League - This reference guide covers the basics of adding, subtracting, multiplying, and dividing integers. Also includes absolute value, integer coordinates, and comparing integers.

Chapter 4 Positive and Negative Numbers
4.2 Adding Integers on a Number Line
4.3 Adding Integers Using Addition Rules
Technology: Using Calculators and Computers - Page 18 Activity 4.5 – using a calculator to multiply integers.

12-1 Math Lab: Algebra: Model Addition, pages 242-243
12-2 Algebra: Add Integers, pages 244-247
12-3 Math Lab: ALgebra: Model Subtraction, pages 248-249
12-4 Algebra: Subtract Integers, pages 250-251
13-1 Math Lab: ALgebra: Model Multiplication, pages 256-257
13-2 Algebra: Multiply Integers, pages 258-259
13-3 Algebra: Divide Integers, pages 260-261
13-4 Combine Operation with Integers, pages 262-263

6-2 Adding Integers, pages 221-223
6-3 Subtracting Integers, pages 224-226
6-5 Multiplying Integers, pages 230-232
6-6 Dividing Integers, pages 234-235
6-7 Expressions with Integers, pages 236-257
6-8 Equations with Integers, pages 238-239
6-9 Problem-Solving Strategy: Write an Equation, pages 240-241
6-10 Problem-Solving Application: Using Integers, pages 242-243

Middle School Lessons & Materials for Teachers Fractions - The lessons and materials available here come from a variety of sites and organizations. Some include offers for video or software, and some are lesson plans

Visual Fraction - An on-line tutorial that offers instruction and practice in identifying, renaming, and operating on fractions. All examples are modeled with number lines or circles.

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.

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

GCF & LCM - 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. Requires Flash 6. line.

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


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) - 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.

Chapter 2 Number Relationships and Fractions
2.2 Greatest Common Factor
2.4 Fractions in Simplest Form
2.5 Least Common Multiple
2.6 Comparing and Ordering Fractions
Chapter 3 Fractions and Their Operations
3.1 Adding and Subtracting Fractions
3.2 Using a Least Common Denominator
Technology: Using Calculators and Computers - Page 8 Activity 2.2 – finding the greatest common factor using graphing calculators
Page 10 Activity 2.5 – finding the least common multiple using a spreadsheet program.
73- LCM & GCF, pages 150-153

8-1 Equivalent Fractions and Simplest Form, pages 160-163
8-3 Compare and Order fractions, pages 166-167
9-2 Math Lab: Add & Subtract, pages 180-185
10-2 Multiply fractions, pages 202-203

4-4 GCF, pages 140-141
4-6 LCM, pages 144-145
5-4 Adding & Subtracting with Unlike Denominators, pages 182-185

Building Bridges to Algebraic Thinking - In this lesson, students attempt to make a transition from arithmetical to algebraic thinking by extending from problems that have single-solution responses.

One Variable Equations - Students will practice writing and solving one-step addition and subtraction equations with one variable.

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Solving addition and subtraction equations Addition Property of Equality Tutorial - Master this algebraic concept with an online lesson, practice problems and links for further explanation.

Brain POP videos – Equations with Variables

Teacher Tips for Instruction- Writing and Solving One-Step Linear Equations In One Variable

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.

Pan Balance - Numbers Applet. In this lesson, one of a multi-part unit from Illuminations, students use an interactive pan balance to practice the order of operations in simplifying numerical expressions and to demonstrate the conventions of using algebraic logic in simplifying expressions. They develop algebraic understanding as expressions are simplified and recorded, step by step.

Using Equations to Solve Percent Problems - tutorial from themathlab.com

Spy Guys Balancing Equations. Select Lesson 11. Covers equality and balancing an equation. This video and auditory tutorial from LearnAlberta.CA allows teachers and students to explore math concepts, pause and replay. Learn how to show fractions and mixed numbers on a number line. Includes interactive exercises that provide immediate feedback. Printable worksheets, parent notes, and a glossary are included for each lesson. In addition to the lessons, there are sections on problem-solving strategies.

The Equality Sisters - a cooperative project between Stanford University and California Girls for Algebra and Family Values, this student-produced site embeds algebra into a story and puts students through the paces of solving linear equations. Be prepared for the upbeat background music!

Chapter 5 Solving Equations
5.2 Writing Equations
5.3 Solving Addition Equations
5.4 Solving Subtraction Equations
5.5 Solving Multiplication Equations
5.6 Solving Division Equation
5.7 Solving Two-Step Equations

1-6 Estimate with Whole Numbers, pages 30-31
4-6 Algebra: decimal expressions and equations, pages 82-83
15-1 Connect Words & Equations, pages 288-289
15-3 Math Lab: Model & Solve One-Step Equations, pages 291-293
15-3 Solve Addition Equations, pages 294-295
15-4 Subtraction Equations; pages 294-295
16-1 Math Lab: Model Multiplication, page 300
16-2 Solve Multiplication & Division equations, pages 301-393

1-12 Solving Addition & Subtraction Equations,pages 30-31
2-7 Solving Multiplication and Division Equations, pages 68-69
5-5 Solving Addition & Subtraction Equations (Fractions), pages 186-187
5-10 Solving Equations Using Fractions, pages 198-199
5-11 Problem Solving Application: Using Fractions and Mixed Number, pages 200-201
6-8 Equations with Integers, pages 238-239
6-9 Problem-Solving Strategy: Write an Equation, pages 240-241
9-6 Solving Percent Problems Using Equations, pages 358-359
10-1 Equations with more than one Operation, pages 384-385

Rational Numbers - Late Delivery is a game, hosted by England's BBS, in which students learn bout variable expressions.

Click here to see the unpacking of this resource

Writing Algebraic Equations - Tutorial and practice

Exploring Linear Equations
Junior High Interactive math series. A video illustrates how math is used at the zoo to calculate how much it costs to feed the animals. Using an interactive activity, students change variables in linear equations to create unique ways of obtaining the same solution. A print activity is included.

Systems and Linear Equations - 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. Requires Flash 6.

Virtual Manipulatives related to the NTCM Number & Operations standard for GR 6-8 (National Library of Virtual Manipulatives)

Order of Operations and Evaluating Expressions
Gain an understanding of this area of mathematics with the two following online tutorials and practice exercises.

Tutorial 1
Tutorial 2

Order of Operations - 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. Requires Flash 6.

Expressions vs. Equations- 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. Requires Flash 6.

Positive and Negative Numbers. Free animated algebra lesson from mathdork.com. Fourteen colorful screens with sound, replay button and an interactive quiz.

Order of Operations
This interactive lesson teaches the basics of this algebraic concept, shows how it used in real life situations, and offers practice exercises as well as an online quiz.

Order of Operations - Brainpop Movie and Interactive Quiz

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 - Exploration guide, interactive applets and assessment questions.

Code Crackers Math Game - This engaging and challenging math game provides students with opportunities to work with math operations and simple algebraic equations by creating a spreadsheet-based "rule machine." Project.

Commutative and Associative Properties - Students will create examples of the commutative and associative properties based on the examples shown in the BrainPop video.

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Distributive Property - Distributive Law 1 and Law 2 using Algebra Tiles. Students will use the distributive property to simplify expressions, recognize and generate equivalent forms for simple algebraic expressions. They will explore relationships between symbolic expressions and virtual manipulative models.

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Chapter 1 Algebra and Decimals
1.3 Order of Operations
1.4 Powers and Exponents
Chapter 3 Fractions and Their Operations
3.6 The Distributive Property
Chapter 4 Positive and Negative Numbers
4.7 Integers and Order of Operations

2-1 Mental math: Use the Properties
2-3 Math lab: Explore Order of Operations, pages 42-43
2-4 Algebra: Order of Operations, pages 44-45
13-4 Combine Operations with Integers, pages 262-263
14-2 Evaluate Expressions, pages 176-179
14-4 Expressions with Squares and Square Roots, Pages 282-283

1-4 Addition Problems, pages 10-11
1-9 Order of Operations, pages 24-25
2-1 Multiplication Properties, pages 50-52
6-7 Expressions with Integers, pages 236-237

Exploring Order of Operations - This interactive math resource from Junior High Interactive (learnalberta.ca.) allows the user to explore the order of operations (brackets, exponents, multiplication, division, addition and subtraction). Includes print activities, solutions, learning strategies, a math game and a video. advanced.

Discover Order of Operations Using Calculators - Technology promoting Student Success. Resource from NEIR-TEC designed for teachers. Includes classroom examples.

Conversion Calculator - convert common units of measurement in length/distance, area, volume, weight/mass, temperature and time. Specifically designed for kids. Part of the FactMonster/Funbrain web site.

Metric units and measurement - tutorial from the Math League on length, volume, mass, time, temperature and decimals in measurement.

Units of Measurement (PowerPoint). Slideshow that can be used for whole group instruction on units of measurement. Includes frequent learning checks.

Units of Measurement. Powerpoint jeopardy game.

English Measurement - 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. Requires Flash 6.

Metric Measurement - 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. Requires Flash 6.

Classroom Activities - Understanding Rational Numbers and Proportions - In this grades 5-8 lesson, students use real-world models to develop an understanding of fractions, decimals, unit rates, proportions, and problem solving.

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.

Distance-Time Graphs. Create a graph of a runner's position versus time and watch the runner run a 40-yard dash based on the graph you made. Notice the connection between the slope of the line and the velocity of the runner. Add a second runner (a second graph) and connect real-world meaning to the intersection of two graphs. Experiment with a graph of velocity versus time for the runners, and also distance traveled versus time. Five minutes of free usage from ExploreLearning.com.

Aw Chute! - Downloadable lesson plan from PBS.org Mathline. After designing and constructing parachutes, students use the distance formula to determine the rate of descent and with this information look for similarities in design.

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.

Spy Guys Area & Perimeter . Select Lesson 12 and 13. Covers the topics separately and relating them to each other. These video and auditory tutorials from LearnAlberta.CA allow teachers and students to explore math concepts, pause and replay. Includes interactive exercises that provide immediate feedback. Printable worksheets, parent notes, and a glossary are included for each lesson. In addition to the lessons, there are sections on problem-solving strategies.

Spy Guys Surface Area of Prisms. Select Lesson 14. These video and auditory tutorials from LearnAlberta.CA allow teachers and students to explore math concepts, pause and replay. Includes interactive exercises that provide immediate feedback. Printable worksheets, parent notes, and a glossary are included for each lesson. In addition to the lessons, there are sections on problem-solving strategies.

Brainpop: Measuring Circles - Learn how to measure a circle if given its diameter or radius with an online movie and interactive quiz.

Area of a Circle - Harcourt Publishers shockwave tutorial with auditory reinforcement and relay buttons on every screen.

Measurement: Circumference & Diameter of a Circle - Register for free downloads of VOD for an excellent teacher training video from Annenberg Media/PBS that looks at perimeter/diameter and diagonal ratios and teaches the relationship between the perimeter of a shape and the diameter of a shape. Students look at the ratio of many different objects and collect data. They develop an awareness that circumference divided by diameter is always a constant ratio. 12 additional videos provide in-depth look at measurement and cover area, volume, measurement relationships, etc. Classroom case study videos are also provided for the middle school teacher.

25-2 Math Lab: Estimate Perimeter, pages 469-471
25-4 Math Lab: Circumference, pages 474-479
26-1 Estimate and Find Area, pages 484-487
26-2 Algebra: Areas of Parallelograms & Trapezoids, pages 488-490
26-3 Math Lab: Area of a Circle, page 5491
26-4 Algebra: Areas of Circles, pages 492-493
26-5 Algebra: Surface Areas of Prisms & Pyramids, pagers 494-497

12-1 Perimeter, pages 458-459
12-2 Area of Quadrilaterals, pages 460462
12-3 Area of Triangles, pages 464-465
12-5 Circumference, pages 468-470

Perimeter and Area - Harcourt Publishers shockwave tutorial with auditory reinforcement and relay buttons on every screen.

Annenberg/PBS Video Library: Building Rafts with Rods - Real classroom video where NCTM math standards guide the lessons. Click on Video #6. Here, groups of students learn about patterns, functions, and problem-solving as they calculate the surface area and volume of various-sized rafts, then graph their data.

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.

Area and Circumference - Figure This! Math Challenge #15: Big Trees. Students use measurements of the girth, or circumference, of a tree to see which tree is large enough that a car could be driven through it. This crazy but fun idea allows students to visualize and work with the areas and circumferences of circles.

Circle Geometry - Math TV Word Problem. Find the area of a circle that a puppy has ruined to determine how much it will cost to reseed the 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.

Circumference of a Circle - Lesson 10.3 McDougal Littell Interactive Instructor. Shockwave interactive tutor with auditory support explains the computations for determining the circumference of a circle and offers practice problems. Students may pause and replay the screens and check their answers.

Circumference and area - using online manipulatives, students resize a circle and compare its radius, circumference and area. Explore Learning is a subscription service but users are allowed five minutes of free usage for any gizmo.

Volume of a pyramid - Learn/practice/play tutorial from aaaknow.com.

Exploring Diameter and Circumference of Circles - Junior High Math Interactives video tutorial (Learn). Students investigate the relationship between diameter and circumference of a circle. An interactive activity allows further exploration. Print activities are also provided.

Understanding pi: Comparing ratios using a spreadsheet - Students explore the number Π in the context of similar shapes by using a spreadsheet to record and compare the distance around shapes (perimeter/ circumference) to the distance across those shapes (width/diameter). From NEIRTEC Mission Algebra Project.

25-4 Math Lab: circumference, pages 474-475
25-5 Circumference, pages 476-479
26-3 Math lab: area of a circle, page 491
26-4 Surface Areas of Prisms and Pyramids, pages 492-493
27-1 Estimate and Find Volume, pages 502-505
27-3 ALgebra: Volumes of Pyramids, pages 508-509
27-5 Volumes of Cylinders, pages 511-513

12-5 Circumference, pages 468-470
12-6 Area of a Circle, pages 472-473

Comparison of Volumes of Similar Solids  - Gain an understanding of this area of mathematics with online tutorials and practice exercises.

Shodor Lesson Plan - Ideas & activities designed to introduce students to surface area and volume.

Purple Prisms: Linking Length, Perimeter, Area, and Volume
This Internet Mathematics Excursion is based on NCTM Principles and Standards for School Mathematics. This is the fourth in a sequence of lessons designed for students to understand scale factor and volume of various rectangular prisms.

Brain POP videos - Volume of Prisms

On these pages you will find activities for middle or high school geometry. Bookmark this page and check back often.
http://math.rice.edu/~lanius/Geom/index.html

Interactive Geometry Crossword - provides immediate feedback and scoring. Great for 6th grade review of terminology.

Lesson Plan - The Demographics of Immigration: Using United States Census Data Census data provides interesting demographic insight into immigrants living in the United States, and allows for comparative studies of past and present immigration trends and patterns.

Statistics: Power from Data! This site can assist readers in getting the most from statistics. Each chapter is intended to be complete in itself.

Mean, Median & Mode - 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. Requires Flash 6.

Introduction to Mean, Median and Mode - Shodor.org lesson and activity. Designed as a lesson outline for teachers on how to teach the topic. Includes ideas for guided and independent practice, sample problems and activities for students.

Measures Activity - this activity from Shodor.org allows students to input various types of data and request mean, median, mode and range information. The java applet allows students to collect or make up their own data on any subject they wish to study and measure any characteristic they wish. Section includes exploration questions and a discussion.

Mrs. Glosser's Math Goodies Introduction to statistics is a series of interactive lessons that provides detailed examples, diagrams, summaries and exercises.

Measures of Central Tendency: Mean-Mode-Median Explanation and Practices exercises using a calculator - from Oswega City Schools.

Data Handling: Mean, Median & Mode - interactive tutorial from the BBC that uses weather data as an opportunity for students to develop an understanding of concepts.

Plop It! - A free resource from the Concord Consortium's "Seeing Math" Project. Plop It! lets students experiment with the concepts of mean, median, and mode. Users see the differences among them on a bar graph, as they add or remove blocks to an axis with a given range. Can be downloaded for offline use. A user's guide, warm-up and sample activities are included.

Train Race Game - Help Pythagoras and Hypatia make their connecting trains. This shockwave game from BBC Education can be used to extend a basic understanding of the median, mean and range. Data about particular trains is given from which estimates of the arrival time are calculated. The reliability of a particular train is assessed by the size of its range: a train is judged to be more reliable than another if it has a smaller range. Teacher support and print-offs are provided.

Rags to Riches - learn the four basic definitions (mean, mode, median and range) in a "Millionaire" style game from Quia.

School Sports Day - In this shockwave game from the BBC on data handling, teams compete for trophies and need to have the best competitors entered for each track event. Students pick a winning team by working out the median, mean and range. Teacher support and print-offs are provided.

Mean, Median and Mode - This Microsoft Word template example reinforces the concepts of mean, median, mode, range, maximum, and minimum. Once you have done this with your students, have them think of different ways to practice new concepts. You can use other programs such as Microsoft PowerPoint to have your students animate objects or add slide transitions to demonstrate concepts.

Create Custom Data Reports - This "Kids Count" web site, from the Annie E. Casey Foundation, tracks health information about children in the United States. Use the Online Databook 2002 for resources displayed in profiles, line graphs, rankings, and raw data in delimited files that you can manipulate to create your own graphs and charts.

Statistics Glossary

Exploring Measures of Central Tendency - A video from the Junior High Math Interactives series (learnalberta.ca) illustrates how math is used by emergency response planners to save lives. Using an interactive component, students explore and predict changes as new emergency response times are added to a set of times with known means and medians. A central tendency print activity is included.

Central Tendency/Outliers - Students build a data set and find the mean, median, and mode. They explore the mean, median, and mode illustrated as frogs on a seesaw, frogs on a scale, and as frogs stacked under a bar of variable height. This activity is part of Explore Learning, a subscription-based site but five minutes of free usage of any gizmo are allowed per day. A 30-day free trial is also available for teachers.

5-6 Outliers and Additional Data, pages 109-111

3-2 Data with Outliers, pages 91-93

Central Tendency: Comparing Properties of Mean & Median - Students use a java applet to experiment with seven data points in a line plot which represent the distances a paper airplane traveled after it was thrown. They can compare and contrast properties of measures of central tendency, specifically the influence of changes in data values on the mean and median. The student's task is to explore how changing one (or more) of the data points affects the mean and the median of the data set. As students change the data values, the interactive figure immediately displays the mean and median of the new data set. This electronic sample was created by NCTM and includes teacher support for using this activity in the classroom.

Video Gamer - in this activity from Microsoft Education, students assume the role of video game developers to learn about central tendency and to understand how data can be used to make decisions. They conduct a survey, interpret the data that they collect, and determine the appropriate audience for a new video game. Business skills are used as students write a memo to the CEO of a hypothetical company explaining their choice of audience for the game, and create a presentation for the board of directors of the company. For extra credit, they write and produce a commercial for their game. Uses Microsoft Word, Excel and PowerPoint.

Data - Statistics This site is from the Annie E. Casey Foundation, tracking health information about children in the United States.  Use the Online Databook 2002 for resources displayed in profiles, line graphs, rankings, and raw data in delimited files that you can manipulate to crate your own graphs and charts.

Lesson Plan-Does More Wins Mean More Fans At The Ballpark? Determine an attendance-to-win ratio for each of the 28 major league teams and then study the results to see if winning always leads to good attendance. Project uses a four-function calculator, rounding to the nearest number.

Statistics Glossary

Probability by Surprise - This resource, from Susan P. Holmes at Stanford University, features a collection of applets demonstrating probability.

Probability Tutorial and Counting Cards Game - BBC Education web site. Students learn about using the probability scale, and work out probabilities using fractions and percentages.

Data Picking - A shockwave game from BBC Education with three levels of difficulty. Students click on students to collect data and produce a frequency table. At the advanced level, they collect pairs of data. Students are challenged to tally results and choose a graph which reflects the tally. Level 1 shows simple pie charts, Level 2 a selection of line graphs, histograms and pie charts and Level 3 simple scatter charts.

Chapter 10 Data Analysis and Statistics
10.2 – Histograms
10.3 – Box-and-Whisker Plots
10.4 – Scatter Plots
10.5 – Using Appropriate Graphs
10.6 – Interpreting Graphs
Technology: Using Calculators and Computers  - Page 30 – Activity 7.5 – using a spreadsheet program to make a circle graph.
Page 45 – Activity 10.2 – using graphing calculators to represent data with a histogram.
Pages 46-47 – Activity 10.3 – using graphing calculators to draw a box-and-whisker plot

5-2 Bias in Survey, pages 98-99
6-6 Analyze Graphs, pages 132-135

3-8 Analyzing Statistical Results, pages 108-110
3-9 Problem-Solving Application: Representing a Point of View, pages 112-113

Exploring Data  - This collection has numerous resources for data exploration. This page has links to standards, data sets, lessons, and more web sites for the K-12 classroom

Polling the Neighborhood - Using interactive tools, students conduct a phone poll of citizens in a small neighborhood to determine their response to a yes-or-no question. They use the results to estimate the sentiment of the entire population and investigate how the error of this estimate becomes smaller as more people are polled. They also compare random versus non-random sampling. Explore Learning is a subscription-based site but allows five minutes of free usage for each gizmo.

Class Activities - Census at School is an international online project that can be used to teach students about handling and interpreting data.

Shampoo Claims - Truth or Lies? A hair shampoo advertiser's claim to make hair 10% stronger has been banned by the Advertising Standards Authority. There was, says the ASA, insufficient scientific evidence to support the claim. This activity asks students to evaluate data from hair strength trials, and to decide what the data shows (if anything!). They then examine other advertisers' claims.

Discrete Mathematics  - A collection of discrete mathematics activities geared towards a young audience

Teaching Discrete Mathematics in Grades 7-12 - Hart, Maltas, Rich; Eisenhower National Clearinghouse
A paper that discusses various ways to introduce discrete math into the junior high and high school curriculum.

Fair Game??? Dilemma - This exemplar offering differentiated, classroom-tested, standards-based assessment and instructional materials on a dice problem where students must explain all the possible outcomes to determine the probability for winning a game of dice in which the number 1 is missing.

Dice Game Probabilities - Determine probability outcomes when a red die and green die are rolled. Includes visuals and feedback.

Discrete Mathematics  - A collection of discrete mathematics activities geared towards a young audience

Teaching Discrete Mathematics in Grades 7-12 - Hart, Maltas, Rich; Eisenhower National Clearinghouse
A paper that discusses various ways to introduce discrete math into the junior