6th Grade Resources

Grade 6 Ohio Math Teacher Resources

 

Number and Number Systems

 

 

Indicator

Description

Link

Instruction/
Activity

1. Decompose and recompose whole numbers using factors and exponents (e.g., 32 = 2 x 2 x 2 x 2 x 2= 25 ), and explain why

“squared” means “second power” and “cubed” means “third

power.”

Exponents
This web site teaches about simplifying exponents and then has an interactive quiz to test what was learned.

http://www.algebrahelp.com/lessons/simplifying/numberexp/index.htm

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Lesson on Exponents
This is an online lesson that students can read through with good examples and explanations of exponents, rules about them, and terms such as factor, base, exponent, squared, and cubed. It finishes with an interactive quiz the student can take right on the web page to see if they understand the material.

http://www.mathgoodies.com/lessons/vol3/exponents.html

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Factorize 2
Visualize factors through building rectangular areas on a grid. As you draw each factor set on the grid, the factors will be listed. Be sure to click the "Help" tab to get instructions.

http://www.shodor.org/interactivate/activities/FactorizeTwo/

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Exponents
This web site uses pictures and clear explanations to teach about exponential form, expanded form, and standard form, and how to convert between them. When done with the lesson, students can take an interactive quiz over what they learned.

http://www.studyzone.org/mtestprep/math8/c/exponentl.cfm

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Calculating Exponents
This learning object explains (with audio) the calculation of simple exponents, as well as the meaning of exponents. There is a quiz included.

http://www.wisc-online.com/objects/index_tj.asp?objID=ABM401

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Factor Tree - National Library of Virtual Manipulatives
This virtual manipulative helps you to find the prime factorization of any number. If you choose to do two numbers at once, then you can also drag their factors into a Venn diagram to determine the GCF and LCM. You can either let the computer pick random numbers for you, or you can provide the original numbers.

http://nlvm.usu.edu/en/nav/frames_asid_202_g_2_t_1.html

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Factorize
Visualize factors through building rectangular areas on a grid. First enter all the factorizations of a number, then draw each factor set as an area on the grid. Be sure to click the "Help" tab to get instructions.

http://www.shodor.org/interactivate/activities/Factorize/

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Exponents, Roots, and Logarithms Quiz from ThatQuiz
This is a great interactive online quiz about exponents, roots, and logarithms. Use the buttons to choose "Exponents", "Roots", or "Logarithms", and choose "Simple", "Advanced", or "Level" to adjust the difficulty.

http://www.thatquiz.org/tq/practice.html?exponent

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2. Find and use the prime factorization of composite numbers. For

example:

a. Use the prime factorization to recognize the greatest common

factor (GCF).

b. Use the prime factorization to recognize the least common

multiple (LCM).

c. Apply the prime factorization to solve problems and explain

solutions.

Amby's Math Instruction
The section titled "Properties of Numbers" has lessons on prime factorization and using it to find GCF and LCM. After each lesson, there are exercises for the student to try online.

http://amby.com/educate/math/

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Factor Tree - National Library of Virtual Manipulatives
This virtual manipulative helps you to find the prime factorization of any number. If you choose to do two numbers at once, then you can also drag their factors into a Venn diagram to determine the GCF and LCM. You can either let the computer pick random numbers for you, or you can provide the original numbers.

http://nlvm.usu.edu/en/nav/frames_asid_202_g_2_t_1.html

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Prime Shooter
This online game teaches you to find the prime factorization of a number. In the game you have numbers falling down the screen and you need to shoot prime numbers at them to factorize the, before they hit the ground. It is educational arcade game!

http://www.1729.com/math/integers/PrimeShooter.html

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3. Explain why a number is referred to as being “rational,” and recognize that the expression a/b can mean a parts of size 1/b each, a divided by b, or the ratio of a to b.

 

This web site uses clear explanations and diagrams to explain rational numbers. After the review, the student can take an interactive quiz over the material.

http://www.studyzone.org/mtestprep/math8/e/compdec6l.cfm

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This web site uses clear explanations and diagrams to explain multiple representations of rational numbers. After the review, the student can take an interactive quiz over the material.

http://www.studyzone.org/mtestprep/math8/e/fractiondecimal6l.cfm

 

This site aims to reduce fraction anxiety, called Fractionitis, in adults and students by helping the user picture and interact with fractions and the operations that can be performed on them.

http://www.visualfractions.com/

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A 13 page document with examples and sample problems

http://www.wvec.k12.in.us/harrison/lbreidenbach/algebra1/a1notes/a1ch2notes.pdf

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All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice.  Understanding fractions: word problems

 

http://www.ixl.com/math/practice/grade-6-understanding-fractions-word-problems

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4. Describe what it means to find a specific percent of a number, using

real-life examples.

 

All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice.
Percents of numbers: word problems

 

http://www.ixl.com/math/practice/grade-6-percents-of-numbers-word-problems

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All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice.  Find what percent one number is of another: word problems

 

http://www.ixl.com/math/practice/grade-6-find-what-percent-one-number-is-of-another-word-problems

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5. Use models and pictures to relate concepts of ratio, proportion and

percent, including percents less than 1 and greater than 100.

 

All About Ratios
This site has many pictoral examples of ratios as well as exercises for students to try.

http://www.math.rice.edu/~lanius/proportions/index.html

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Thinking Blocks - Ratio Word Problems
This is an excellent modeling site that teaches how to solve word problems involving ratio, proportion, multi-step problems, and algebraic situations. For each type of word problem, there is a narrated video that shows how to model and solve that sort of problem using virtual "Thinking Blocks". Then randomly generated problems of that type are presented. The student then gets to model and solve the problem, while getting feedback, guidance, and reinforcement at each step. The problem types cover Part-Part Ratios, Comparing Three Quantities, Part-Total Ratios, and Advanced Problems. A final section shows how draw these models on paper to apply these techniques when no longer at the site.

http://www.thinkingblocks.com/ThinkingBlocks_Ratios/TB_Ratio_Main.html

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6. Use the order of operations, including the use of exponents,

decimals and rational numbers, to simplify numerical expressions.

 

Order of Operations
This web site teaches about simplifying expressions using order of operations, and then has an interactive quiz to test what was learned.

http://www.algebrahelp.com/lessons/simplifying/oops/index.htm

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Lesson on Order of Operations
This is a collection of online lesson that students can read through with good examples and explanations of order of operations. Each finishes with an interactive quiz the student can take right on the web page to see if they understand the material.

http://www.mathgoodies.com/lessons/toc_vol7.html

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Effects of Parentheses
This is an Excel spreadsheet activity for a whole class or individual students. The user inputs a mathematical expression, and then alters it with parentheses to see how many different answers can be generated. Great for order of operations.

http://www.northcanton.sparcc.org/%7Etechnology/excel/files/effects_of_parentheses.html

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7. Use simple expressions involving integers to represent and solve problems; e.g., if a running back loses 15 yards on the first carry but gains 8 yards on the second carry, what is the net gain/loss?

 

Mrs. Glosser's Math Goodies - Lesson on Introduction to Integers
This online lesson explains what integers are, gives examples in real life, and offers exercises for the student to do and get immediate feedback.

http://www.mathgoodies.com/lessons/vol5/intro_integers.html

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Color Chips Addition - National Library of Virtual Manipulatives
This virtual manipulative teaches the addition of integers by modeling the problems with colored positive and negative chips. The chips can then be combined to cancel out and determine the final sum. You can solve random problems or create your own.

http://nlvm.usu.edu/en/nav/frames_asid_161_g_1_t_1.html

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Color Chips Subtraction - National Library of Virtual Manipulatives
This virtual manipulative teaches the subtraction of integers by modeling the problems with colored positive and negative chips. The chips can then be manipulated to subtract the needed amount and determine the final difference. You can solve random problems or create your own.

http://nlvm.usu.edu/en/nav/frames_asid_162_g_2_t_1.html

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8. Represent multiplication and division situations involving fractions

and decimals with models and visual representations; e.g., show with pattern blocks what it means to take 2 2/3 ÷ 1/6.

 

Visual Fractions
This site covers many operations with fractions by showing visual representations and having students do exercises with them.

http://www.visualfractions.com/

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All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice.
Multiply fractions: Multiply fractions - with models

http://www.ixl.com/math/practice/grade-6-multiply-fractions-with-models

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All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice.
Divide fractions: Divide fractions - with models

http://www.ixl.com/math/practice/grade-6-divide-by-fractions-with-models

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All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice.
Multiply decimals: Multiply two decimals using grids

http://www.ixl.com/math/practice/grade-5-multiply-two-decimals-using-grids

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9. Give examples of how ratios are used to represent comparisons; e.g., part-to-part, part-to-whole, whole-to-part.

Thinking Blocks - Ratio Word Problems
This is an excellent modeling site that teaches how to solve word problems involving ratio, proportion, multi-step problems, and algebraic situations. For each type of word problem, there is a narrated video that shows how to model and solve that sort of problem using virtual "Thinking Blocks".

http://www.thinkingblocks.com/ThinkingBlocks_Ratios/TB_Ratio_Main.html

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All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice.
Ratios, proportions, and percents: Write a ratio to describe objects in a picture

http://www.ixl.com/math/practice/grade-6-write-a-ratio-to-describe-objects-in-a-picture

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Dirt Bike Proportions - a multi-player tug of war game for proportions

http://arcademicskillbuilders.com/games/dirt-bike-proportions/dirt-bike-proportions.html

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(game)

10. Recognize that a quotient may be larger than the dividend when the divisor is a fraction;
e.g., 6
÷ ½  = 12.

 

All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice.
Divide fractions: Divide by fractions - with models

http://www.ixl.com/math/practice/grade-6-divide-by-fractions-with-models

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All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice.
Divide fractions: Divide fractions

http://www.ixl.com/math/practice/grade-6-divide-fractions

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11. Perform fraction and decimal computations and justify their solutions; e.g., using manipulatives, diagrams, mathematical reasoning.

 

AAA Math - Fractions
This site has lessons and exercises on many topics concerning fractions.

http://www.aaamath.com/fra.html

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AAA Math - Decimals
This site has lessons and exercises for many decimal topics.

http://www.aaamath.com/B/dec.htm

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Base Blocks Adding and Subtracting Decimals - National Library of Virtual Manipulatives
This online virtual manipulative lets the student use base blocks to add and subtract decimals, by splitting and combining blocks. This is also a great way to visualize the concepts of decimal place value.

http://nlvm.usu.edu/en/nav/frames_asid_264_g_1_t_1.html

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Fractions - Adding - National Library of Virtual Manipulatives
This interactive web site helps students learn to add fractions. Two randomly generated fractions are shown along with a visual representation, which can be manipulated by the student. They have to rename the fractions to have the same denominator and then add them.

http://nlvm.usu.edu/en/nav/frames_asid_106_g_2_t_1.html

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Fractions and Decimals Quiz from ThatQuiz
This is a great interactive online quiz about operations with fractions and decimals. Use the buttons to choose "Fractions" or "Decimals", the operation you want (addition, subtraction, multiplication, or division), and "Level" for the difficulty.

http://www.thatquiz.org/tq/practice.html?fraction

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12. Develop and analyze algorithms for computing with fractions and decimals, and demonstrate fluency in their use.

 

Fractions and Decimals Quiz from ThatQuiz
This is a great interactive online quiz about operations with fractions and decimals. Use the buttons to choose "Fractions" or "Decimals", the operation you want (addition, subtraction, multiplication, or division), and "Level" for the difficulty.

http://www.thatquiz.org/tq/practice.html?fraction

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13. Estimate reasonable solutions to problem situations involving fractions and decimals; e.g., 7/8 + 12/13 » 2 and 4.23 × 5.8 » 25.

 

All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice.
Add and subtract decimals: Estimate sums and differences of decimals

http://www.ixl.com/math/practice/grade-6-estimate-sums-and-differences-of-decimals

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All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice.

Multiply and divide decimals: Estimate products of decimal numbers

http://www.ixl.com/math/practice/grade-6-estimate-products-of-decimal-numbers

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All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice.

Multiply fractions: Estimate products of fractions and whole numbers

http://www.ixl.com/math/practice/grade-6-estimate-products-of-fractions-and-whole-numbers

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14. Use proportional reasoning, ratios and percents to represent

problem situations and determine the reasonableness of solutions.

 

Thinking Blocks - Ratio Word Problems
This is an excellent modeling site that teaches how to solve word problems involving ratio, proportion, multi-step problems, and algebraic situations.

http://www.thinkingblocks.com/ThinkingBlocks_Ratios/TB_Ratio_Main.html

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Skillwise: Ratio and Proportion - five part module; fact sheet, game, quiz, activity and worksheet

http://www.bbc.co.uk/skillswise/numbers/wholenumbers/ratioandproportion/ratio/

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15. Determine the percent of a number and solve related problems; e.g., find the percent markdown if the original price was $140, and the sale price is $100.

Bitesize - Percents
This web site uses colorful animation and great explanations to teach about percents, visualizing percents, and percent of a number. After the instruction, the students can take an online quiz to assess their understanding.

http://www.bbc.co.uk/schools/ks2bitesize/maths/number/percentages/play.shtml

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Measurement Standard

1. Understand and describe the difference between surface area and volume.

Surface Area and Volume
In this online activity students manipulate dimensions of rectangular or triangular prisms, and watch how the surface area and volume change. Be sure to click the "Help" tab to get instructions.

http://www.shodor.org/interactivate/activities/SurfaceAreaAndVolume/

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2. Use strategies to develop formulas for finding circumference and area of circles, and to determine the area of sectors; e.g., 1/2 circle, 2/3 circle, 1/3 circle, ¼  circle.

Exploring Pi
This is an Excel spreadsheet activity for the whole class. As students report measurements on circumference and diameter of objects, the spreadsheet calculates their ratio and averages them together to approximate pi.

http://www.northcanton.sparcc.org/%7Etechnology/excel/files/exploring_pi.html

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Perimeter, Area, Surface Area, and Volume Quiz from ThatQuiz
This is a great interactive online quiz about perimeter, area, surface area, and volume. You can choose the type of measurement to find and the types of shapes to use. Choose "Level" to change the difficulty.

http://www.thatquiz.org/tq/practice.html?geometry

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3. Estimate perimeter or circumference and area for circles, triangles, and quadrilaterals, and surface area and volume for prisms and

cylinders by:

a. estimating lengths using string or links, areas using tiles or grid, and volumes using cubes;

b. measuring attributes (diameter, side lengths, or heights) and using established formulas for circles, triangles, rectangles,

parallelograms and rectangular prisms.

Mrs. Glosser's Math Goodies - Lesson on Circumference of a Circle
This online lesson explains the different parts of a circle and how to find the circumference. Several examples are given and exercises are provided for the students to do online and get immediate feedback.

http://www.mathgoodies.com/lessons/vol2/circumference.html

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Mrs. Glosser's Math Goodies - Lesson on Area of a Circle
This online lesson explains the different parts of a circle and how to find the area. Several examples are given and exercises are provided for the students to do online and get immediate feedback.

http://www.mathgoodies.com/lessons/vol2/circle_area.html

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Exploring Pi
This is an Excel spreadsheet activity for the whole class. As students report measurements on circumference and diameter of objects, the spreadsheet calculates their ratio and averages them together to approximate pi.

http://www.northcanton.sparcc.org/%7Etechnology/excel/files/exploring_pi.html

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Estimator
This online activity has the student estimate length, quantity, or area. They can control how close they need to be to the true answer, how difficult the problem is, and if a grid is given to help with the estimate.

http://www.shodor.org/interactivate/activities/estim/index.html

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Triangle Explorer
In this online activity students learn about areas of triangles and about the Cartesian coordinate system through experimenting with triangles drawn on a grid.

http://www.shodor.org/interactivate/activities/triangle/index.html

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Area of a Triangle
This interactive web site shows how the area formula for a triangle is only dependant upon the base and height. You can alter the vertex, height, and width to see the effect on the area.

http://hotmath.com/util/hm_flash_movie_full.html?movie=/learning_activities/interactivities/triangleArea.swf

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Triangles Quiz from ThatQuiz
This is a great interactive online quiz all about triangles. Choose "Identify" to classify triangles by angles and sides. Choose "Perimeter" to calulate the perimeter of triangles. Choose "Area" to calculate the area of triangles. Choose "Angles" to find missing angles of a triangle. Choose "Similar" to find missing parts of similar triangles. Choose "Pythagorean" to use that theorem to find missing parts. Choose "30-60-90" to find missing parts of 30-60-90 triangles. Finally, choose "Level" to change the difficulty.

http://www.thatquiz.org/tq/practice.html?triangle

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Perimeter, Area, Surface Area, and Volume Quiz from ThatQuiz
This is a great interactive online quiz about perimeter, area, surface area, and volume. You can choose the type of measurement to find and the types of shapes to use. Choose "Level" to change the difficulty.

http://www.thatquiz.org/tq/practice.html?geometry

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4. Determine which measure (perimeter, area, surface area, volume) matches the context for a problem situation; e.g., perimeter is the

context for fencing a garden, surface area is the context for painting a room.

Intermediate Test Prep Grade 6

http://www.studyzone.org/mtestprep/topic6.cfm?TopicID=246

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Elementary Test Prep Grade 3 - Measuring Length

http://www.studyzone.org/testprep/math4/e/measuretool3l.cfm

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Elementary Test Prep Grade 4 - Measurement

http://www.studyzone.org/testprep/math4new.cfm

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Intermediate Test Prep Grade 6 - Measurement

http://www.studyzone.org/mtestprep/math5.cfm

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Muskingum Valley Educational Service Center: Web Based - Lesson Plans

http://www.mvesc.k12.oh.us/mathvalueurl/math/6/viewurlm6me4.asp

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5. Understand the difference between perimeter and area, and demonstrate that two shapes may have the same perimeter, but different areas or may have the same area, but different perimeters.

Shape Explorer
In this online activity students are shown shapes on a grid and asked to calculate areas and perimeters of the shapes.

http://www.shodor.org/interactivate/activities/perimeter/index.html

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Area Explorer
Learn the relationship between perimeter and area. A shape will be automatically generated with the perimeter that you choose. Calculate the area of this shape. A table of values can be built as well. Be sure to click the "Help" tab to get instructions.

http://www.shodor.org/interactivate/activities/AreaExplorer/

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6. Describe what happens to the perimeter and area of a

two-dimensional shape when the measurements of the shape are

changed; e.g. length of sides are doubled.

Muskingum Valley Educational Service Center: Web Based - Lesson Plans

 

http://www.mvesc.k12.oh.us/mathvaluelp/math/6/viewurlm6me6.asp

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Geometry and Spatial Sense Standard

1. Classify and describe two-dimensional and three-dimensional

geometric figures and objects by using their properties; e.g., interior angle measures, perpendicular/parallel sides, congruent

angles/sides.

Platonic Solids - National Library of Virtual Manipulatives
This online activity allows you to experiment with five platonic solids, counting their faces, edges, and vertices.

http://nlvm.usu.edu/en/nav/frames_asid_128_g_2_t_3.html?open=instructions

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Angle Sum Theorem
This interactive website proves that the interior angles of a triangle add up to 180 degrees. The user is able to move the vertex points of a triangle any way they wish. Then they click the "Show Proof" button and an animation plays to show all three angles moving together to form a straight line.

http://hotmath.com/util/hm_flash_movie_full.html?movie=/learning_activities/interactivities/triangleSum.swf

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Polygons PowerPoint Presentation
This PowerPoint presentation gives a good explanation of types of polygons, sum of their interior angles, and number of diagonals.

http://www.ih.k12.oh.us/MSDunlap/Geometry/polygons.ppt

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Triangles Quiz from ThatQuiz
This is a great interactive online quiz all about triangles. Choose "Identify" to classify triangles by angles and sides. Choose "Perimeter" to calulate the perimeter of triangles. Choose "Area" to calculate the area of triangles. Choose "Angles" to find missing angles of a triangle. Choose "Similar" to find missing parts of similar triangles. Choose "Pythagorean" to use that theorem to find missing parts. Choose "30-60-90" to find missing parts of 30-60-90 triangles.

http://www.thatquiz.org/tq/practice.html?triangle

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2. Use standard language to define geometric vocabulary: vertex, face,

altitude, diagonal, isosceles, equilateral, acute, obtuse and other

vocabulary as appropriate.

All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice.

Geometry: Triangle review

http://www.ixl.com/math/practice/grade-6-triangle-review

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All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice.

Geometry: Identify polyhedra and count faces, edges, and vertices

http://www.ixl.com/math/practice/grade-6-identify-polyhedra-and-count-faces-edges-and-vertices

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3. Use multiple classification criteria to classify triangles; e.g., right scalene triangle.

Sorting Triangles
This interactive website begins with an animated review of scalene, isosceles, and equilateral triangles. Then students get to sort the triangles using Venn diagrams based upon single and multiple characteristics.

http://www.crickweb.co.uk/assets/resources/flash.php?&file=triangles

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4. Identify and define relationships between planes; i.e., parallel,

perpendicular and intersecting.

This PowerPoint presentation gives a good explanation of points, lines, and planes using clear descriptions and good illustrations.

http://www.ih.k12.oh.us/MSDunlap/Geometry/pointslinesplanes.ppt

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5. Predict and describe sizes, positions and orientations of

two-dimensional shapes after transformations such as reflections,

rotations, translations and dilations.

In this online game you help Bucky the Beaver to plug holes in the dam by flipping and rotating basic shapes, and then placing them on the congruent holes in the dam.

http://www.iknowthat.com/com/App?File=GeoDam.htm&Type=S&App=GeoDam&Topic=Topic2&SkipGuestWarning=true

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Transformations - Translation - National Library of Virtual Manipulatives This online activity allows you to place pattern blocks on a grid and apply a translation to them. You can do this on your own, or go through three pre-made activities.

http://nlvm.usu.edu/en/nav/frames_asid_301_g_2_t_3.html?open=activities

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Transformations - Rotation - National Library of Virtual Manipulatives
This online activity allows you to place pattern blocks on a grid and apply a rotation to them. You can do this on your own, or go through three pre-made activities.

http://nlvm.usu.edu/en/nav/frames_asid_299_g_2_t_3.html?open=activities

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Transformations - Reflection - National Library of Virtual Manipulatives
This online activity allows you to place pattern blocks on a grid and apply a reflection to them. You can do this on your own, or go through three pre-made activities.

http://nlvm.usu.edu/en/nav/frames_asid_297_g_2_t_3.html?open=activities

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Transformations - Dilation - National Library of Virtual Manipulatives
This online activity allows you to place pattern blocks on a grid and apply a dilation to them. You can do this on your own, or go through two pre-made activities.

http://nlvm.usu.edu/en/nav/frames_asid_295_g_2_t_3.html?open=activities

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TransmoGrapher
Students explore the world of translations, reflections, and rotations in the Cartesian coordinate system by transforming squares, triangles and parallelograms. Parameters: Shape, x or y translation, x or y reflection, angle of rotation.

http://www.shodor.org/interactivate/activities/transform/index.html

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Rotation Presentation
This PowerPoint presentation gives a good explanation of rotations using clear descriptions and good illustrations. A quiz is included at the end to review the material.

http://www.ih.k12.oh.us/MSDunlap/Geometry/Rotations.ppt

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Bathroom Tiles
In this game you use rotations, reflections, and translations to move bathroom tiles to new locations. There are three levels of difficulty to work through.

http://www.bbc.co.uk/education/mathsfile/shockwave/games/bathroom.html

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6. Draw similar figures that model proportional relationships; e.g.,

model similar figures with a 1 to 2 relationship by sketching two of the same figure, one with corresponding sides twice the length of the other.

Similar Figures Presentation
This PowerPoint presentation gives a good explanation of similar figures and how to find missing measures using clear descriptions and good illustrations. A quiz is included at the end to review the material.

http://www.ih.k12.oh.us/MSDunlap/Geometry/Similar%20Figures.ppt

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7. Build three-dimensional objects with cubes, and sketch the two-dimensional representations of each side; i.e., projection sets.

Spacial Reasoning
Use this interactive tool to create dynamic drawings on isometric dot paper. Draw figures using edges, faces, or cubes. You can shift, rotate, color, decompose, and view in 2-D or 3-D.

http://illuminations.nctm.org/ActivityDetail.aspx?ID=125

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Point Out the View game
This is a great game where the student is presented with a 3-D block model and has to show what would be seen from each side.

http://pbskids.org/cyberchase/games/pointofview/pointofview.html

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(game)

Patterns, Functions and Algebra Standard

1. Represent and analyze patterns, rules and functions, using physical materials, tables and graphs.

Function Machine
This online tool has you put in a number, and then it spits out a result. Your goal is to determine what the function machine is doing to the number. You can choose the type of function it uses or let it be random.

http://www.amblesideprimary.com/ambleweb/mentalmaths/functionmachines.html

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Mystery Functions
This is an Excel spreadsheet activity for the whole class or individual student use.

http://www.northcanton.sparcc.org/%7Etechnology/excel/files/mystery_functions.html

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Whole Number Cruncher
Give input to the Whole Number Cruncher and try to guess what it did from the output it generates. This activity only generates multiplication and addition functions to avoid outputting any negative numbers. Be sure to click the "Help" tab to get instructions.

http://www.shodor.org/interactivate/activities/WholeNumberCruncher/

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Thinking Blocks - Addition and Subtraction
This is an excellent modeling site that teaches how to solve word problems involving addition, subtraction, and comparisons. For each type of word problem, there is a narrated video that shows how to model and solve that sort of problem using virtual "Thinking Blocks". Then randomly generated problems of that type are presented.

http://www.thinkingblocks.com/ThinkingBlocks_AS/TB_AS_Main.html

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Thinking Blocks - Multiplication and Division
This is an excellent modeling site that teaches how to solve word problems involving multiplication, division, remainders, multi-step problems, and algebraic situations. For each type of word problem, there is a narrated video that shows how to model and solve that sort of problem using virtual "Thinking Blocks". Then randomly generated problems of that type are presented.

http://www.thinkingblocks.com/ThinkingBlocks_MD/TB_MD_Main.html

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Thinking Blocks - Ratio Word Problems
This is an excellent modeling site that teaches how to solve word problems involving ratio, proportion, multi-step problems, and algebraic situations. For each type of word problem, there is a narrated video that shows how to model and solve that sort of problem using virtual "Thinking Blocks". Then randomly generated problems of that type are presented.

http://www.thinkingblocks.com/ThinkingBlocks_Ratios/TB_Ratio_Main.html

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2. Use words and symbols to describe numerical and geometric patterns, rules and functions.

Function Machine
Students investigate very simple functions by trying to guess the algebraic form from inputs and outputs.

http://www.shodor.org/interactivate/activities/fm/index.html

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Mystery Functions
This is an Excel spreadsheet activity for the whole class or individual student use.

http://www.northcanton.sparcc.org/%7Etechnology/excel/files/mystery_functions.html

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Whole Number Cruncher
Give input to the Whole Number Cruncher and try to guess what it did from the output it generates. This activity only generates multiplication and addition functions to avoid outputting any negative numbers. Be sure to click the "Help" tab to get instructions.

http://www.shodor.org/interactivate/activities/WholeNumberCruncher/

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3. Recognize and generate equivalent forms of algebraic expressions,

and explain how the commutative, associative and distributive

properties can be used to generate equivalent forms; e.g., perimeter

as 2(l + w) or 2l + 2w.

Simplifying Using Distribution
This web site teaches about using the distributive property to simplify alegraic expressions, and then has an interactive quiz to test what was learned.

http://www.algebrahelp.com/lessons/simplifying/distribution/index.htm

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Distributive problem flashcards
Interactive flashcards to practice the distributive property

http://www.studystack.com/flashcard-1870

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4. Solve simple linear equations and inequalities using physical models, paper and pencil, tables and graphs.

Equations
This web site teaches about solving simple equations and then has an interactive quiz to test what was learned.

http://www.algebrahelp.com/lessons/equationbasics/index.htm

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Thinking Blocks - Ratio Word Problems
This is an excellent modeling site that teaches how to solve word problems involving ratio, proportion, multi-step problems, and algebraic situations. For each type of word problem, there is a narrated video that shows how to model and solve that sort of problem using virtual "Thinking Blocks".

http://www.thinkingblocks.com/ThinkingBlocks_Ratios/TB_Ratio_Main.html

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5. Produce and interpret graphs that represent the relationship between two variables.

All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice.

Coordinate graphing: Find points on a function graph

http://www.ixl.com/math/practice/grade-6-find-points-on-a-function-graph

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All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice.

Coordinate graphing: Graph linear functions

http://www.ixl.com/math/practice/grade-6-graph-linear-functions

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6. Evaluate simple expressions by replacing variables with given values, and use formulas in problem-solving situations.

In this game you are Postman Phil and must choose the correct letter to be delivery to each house. Each house has an algebraic expression that needs evaluated to determine the correct letter to deliver.

http://www.bbc.co.uk/education/mathsfile/shockwave/games/postie.html

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This web site teaches about evaluating algebraic expressions by substituting values in for variables, and then has an interactive quiz to test what was learned.

http://www.algebrahelp.com/lessons/simplifying/substitution/

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This is a great interactive online quiz covering several algebra concepts. Choose "Solve for x" to substitute values and evaluate expressions. Choose "Simplify" to simplify polynomial expressions. Choose "X-Intercepts" to find the x-intercept of a linear equation. Choose "Graphing" to plot sample points on a graph for a variety of types of equations. Choose "Formulas" to determine the equation of a graphed line. Finally use the "Level" option to change the difficulty of any problem.

http://www.thatquiz.org/tq/practice.html?algebra

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7. Identify and describe situations with constant or varying rates of change, and compare them.

The Green family is planning a one-week vacation in Florida and needs to rent a car while there. They do not know exactly how far they will drive but estimate it will be between 500 and 1000 miles....

http://math.rice.edu/~lanius/Algebra/rentacar.html

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This 5-part unit focuses on linear functions and slope.

http://www.learner.org/courses/learningmath/algebra/session5/index.html

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8. Use technology to analyze change; e.g., use computer applications or graphing calculators to display and interpret rate of change.

Slope Slider
This activity allows the manipulation of a linear function of the form f(x)=mx+b and encourages the user to explore the relationship between slope and intercept in the Cartesian coordinate system.

http://www.shodor.org/interactivate/activities/slopeslider/index.html

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Data Analysis and Probability Standard

1. Read, construct and interpret line graphs, circle graphs and histograms.

Pie Chart
This is an Excel spreadsheet activity for the whole class or individual students. A generic 8 item pie chart can be dynamically altered with custom data and labels.

http://www.northcanton.sparcc.org/%7Etechnology/excel/files/pie_chart_8.html

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Graphs Quiz from ThatQuiz
This is a great interactive online quiz about reading and interpreting graphs. Choose "Bar Graphs" or "Line Graphs", and optionally check "Mean", "Median", or "Mode" if you wish to include those types of questions. Finally choose "Easier Content", "Normal Content", or "Level" to adjust the difficulty.

http://www.thatquiz.org/tq/practice.html?graphs

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Pie Chart - National Library of Virtual Manipulatives
This online manipulative allows the user to create a colorful pie chart with up to eight different categories. Suggested activities are included on the site.

http://nlvm.usu.edu/en/nav/frames_asid_183_g_2_t_1.html?open=activities

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Box Plot and Histogram - National Library of Virtual Manipulatives
This online interactive activity generates a box plot and a histogram for data provided. You can choose from several pre-made sets of topical data, or you can enter new data or change the data there. Several measures of the data are given as well.

http://nlvm.usu.edu/en/nav/frames_asid_200_g_3_t_5.html?open=instructions

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Histograms
This web site uses clear explanations and diagrams to explain how to read and create histograms. After the review, the student can take an interactive quiz over the material.

http://www.studyzone.org/mtestprep/math8/f/histograml.cfm

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Circle Graphs
This web site uses clear explanations and diagrams to teach how to read and create circle graphs. After the review, students can take an interactive quiz on the material.

http://www.studyzone.org/mtestprep/math8/f/circlegraphl.cfm

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Line Graphs
This web site uses clear explanations and diagrams to teach how to read and create line graphs. After the review, students can take an interactive quiz on the material.

http://www.studyzone.org/mtestprep/math8/f/linegraphl.cfm

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Using Line Graphs
This web site explains the advantages and disadvantages of line graphs, and provides an interactive quiz.

http://www.studyzone.org/mtestprep/math8/f/linegraphles.cfm

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Create a Graph
This is an interactive web site that lets the user create high-quality graphs including bar, line, area, pie, and XP graphs.

http://nces.ed.gov/nceskids/createagraph/

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Data Picking
In this online activity you click on 10 different students to get their answers to a question. Then you record their responses as tallies or data in a chart. Finally you pick which one of four graphs is the correct representation of the data. The graphs can include circle graphs, bar charts, and scatter plots. There are three levels of difficulty.

http://www.bbc.co.uk/education/mathsfile/shockwave/games/datapick.html

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(game)

2. Select, create and use graphical representations that are appropriate for the type of data collected.

All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice.

Charts and graphs: Choose the best type of graph

http://www.ixl.com/math/practice/grade-6-choose-the-best-type-of-graph

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3. Compare representations of the same data in different types of graphs, such as a bar graph and circle graph.

Comparing Graphs - Excel Activity
This is an Excel spreadsheet activity. In it three different sets of data (earnings, votes, heights) are shown with three different types of graphs (line, bar, circle). The student is to compare the different graphs to determine which is the best representation.

http://www.northcanton.sparcc.org/%7Etechnology/excel/files/comparing_graphs.html

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4. Understand the different information provided by measures of center (mean, mode and median) and measures of spread (range).

Lessons on Statistics
This site has a collection of lessons on stats including range, mean, median, and mode. Each lesson also has an interactive quiz.

http://www.mathgoodies.com/lessons/toc_vol8.html

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This web site uses colorful animation and great explanations to teach about mean, median, and mode. After the instruction, the students can take an online quiz to assess their understanding.

http://www.bbc.co.uk/schools/ks2bitesize/maths/data/mode_median_mean/play.shtml

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Comparing Data - Excel Activity
This is an Excel spreadsheet activity in which the student enters data and then the spreadsheet generates several measures of that data such as mean, median, mode, quartiles, and range. The student can then investigate the measures to compare the different sets of data.

http://www.northcanton.sparcc.org/%7Etechnology/excel/files/comparing_data.html

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Train Race
In this game you examine the last five times for four different trains to determine such measures as median, mean, and range. Then you use the data to choose the best train to get you to a certain place by a specific time. Level 1 deals with median, while Levels 2 and 3 address mean.

http://www.bbc.co.uk/education/mathsfile/shockwave/games/train.html

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(game)

Graphs Quiz from ThatQuiz
This is a great interactive online quiz about reading and interpreting graphs. Choose "Bar Graphs" or "Line Graphs", and optionally check "Mean", "Median", or "Mode" if you wish to include those types of questions. Finally choose "Easier Content", "Normal Content", or "Level" to adjust the difficulty.

http://www.thatquiz.org/tq/practice.html?graphs

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5. Describe the frequency distribution of a set of data, as shown in a histogram or frequency table, by general appearance or shape; e.g., number of modes, middle of data, level of symmetry, outliers.

All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice.

Charts and graphs: Choose the best type of graph

http://www.ixl.com/math/practice/grade-6-create-frequency-tables

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All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice.

Statistics: Calculate mean, median, mode, and range

http://www.ixl.com/math/practice/grade-6-calculate-mean-median-mode-and-range

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All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice.

Statistics: Interpret charts to find mean, median, mode, and range

http://www.ixl.com/math/practice/grade-6-interpret-charts-to-find-mean-median-mode-and-range

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6. Make logical inferences from statistical data.

Students use baseball data available on the Internet to look at different ways data can be analyzed. First, they select data to calculate responses to pre-formulated questions....

http://www.sciencenetlinks.com/lessons.php?DocID=108

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All of IXL's dynamic math practice skills are aligned to state standards, making it easy to find the right skills to practice.

Probability: Make predictions

http://www.ixl.com/math/practice/grade-6-make-predictions

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7. Design an experiment to test a theoretical probability and explain how the results may vary.

This site focuses on three main ideas -- the basic definition of probability, the difference between theoretical and experimental probability, and set operations illustrated by simple Venn diagrams.

http://www.shodor.org/interactivate/lessons/IntroProbability/

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Spy Guys Interactive - Probability -  A video is available through this link

http://www.learnalberta.ca/content/mesg/html/math6web/lessonLauncher.html?lesson=m6lessonshell19.swf

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