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# 8th Grade Number & Operations Skills Prior Standards Implementation

## Number and Operations

Identify the opposite and the reciprocal of a rational number.
8.1.1
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1. How do I find the reciprocal of a decimal mixed number? - an answer to a student's question
2. Rational Number and its Reciprocal - a step-by-step examination of a problem by Dr. Math
Compare rational numbers using the appropriate symbol (<, >, and =).
8.1.2
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1. Compare and Order Numbers - explanation, examples and interactive applets
2. Comparing Exponential Expressions - select, <, >, or =
3. Comparing Integers - Comparing integers with absolute values - instruction and review, practice, and a quiz &
4. Comparing Values - Create your own math facts worksheets for comparing values. Problems can include calculations using positive and negative numbers, and two-digit decimal values.
5. Greater, Less Than, or the Same - Compare these decimals - instruction and review, practice, and a quiz &
6. MathDrill lets your students practice <, >, or =
7. Review Rules for Working with Rational Numbers - two interactive sections are provided, look for the blue blocks
Use ratios and proportions to represent real-world situations (i.e., scale drawings and probability).
8.1.3
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1. All About Ratios - a Quiz
2. All About Ratios - links to several lessons by Cynthia Lanius
3. All About Ratios : (Problem Solving) - A famous Texas chef has a secret recipe for her chili. When people ask her for it, she hands them a card with the complete recipe except for 1 detail. For the missing detail, she gives them a clue. Use ratios to discover the missing ingredient.
4. Comparing Ratios and Rates - online quiz
5. Determine the number based on the ratio - instruction and review, practice, and a quiz &
6. Determining the Ratio - instruction and review, practice, and a quiz &
7. Figure This: Math Challenge for Families - proportional reasoning
8. - how ratios can help predict reversals in stocks
9. Interpreting and Applying Proportions - online quiz
10. Learning ratios and proportions through scale drawings - a text lesson plan
11. Math for Morons Like Us - a ThinkQuest entry on ratio
12. Nutshell Math: Ratios and Proportion - video lesson with examples and sample problems
1. You Tube video of the same lesson - Instructor: Ms. Jenkins
13. Percentages and Proportions - online quiz
14. Percents and Ratios - an index of pages that teach percent and ratio skills covered in K8 math courses - Each page has an explanation, interactive practice and challenge games about percents and ratios. (from AAA math) - instruction and review, practice, and a quiz &
15. Percent with a Calculator - after the lesson there are problems to work
16. Practice with Ratios - online quiz
17. Proportion Practice Test - thirteen multiple choice questions
18. Proportions and Ratios - good explanation of means and extremes from Free Math
19. Rags to Riches: Ratio and Proportion Quiz - quiz at Quia
20. Rates, Ratios, and Proportions - a two person quiz from Quia
21. Ratio/Proportion Problems from Ask Dr. Math - three pages of links to real-world problems
22. Ratio & Proportion - math review practice exercises
23. Ratio & Proportion - A proportion is a name we give to a statement that two ratios are equal. (This is a 3 step lesson followed by a workout.)
24. Ratio and Proportion - explanation and examples
25. Ratio and Proportion - introduction, in depth explanation, examples and a workout of ten problems
26. Ratio and Proportion Quiz - play this game to practice writing ratios
27. Ratio Exercises: Dolls : Camera] | Same ratio -- Fish : Atom | Different ratio -- Spider : Lizard | Different ratio -- Dots : Stars | 2 Dolls for every 1 Camera | 3 Atoms for every 2 Fish | [How Many Spiders do You Have? | Which Way Gives More Pizza?
28. Ratio Proportion Calculator - Enter the known and unknown values from your proportion problem. In classic algebraic format, place an x in the box where the value is unknown. Then select Calculate and click on it.
29. Ratios - a six page module from Purple Math
30. Ratios and Proportions - explanation with four sample problems
31. Ratios and Proportions - an interactive lesson in a slide show format
32. Ratios and Proportions - an 18 slide PowerPoint show
33. Ratios and Proportion Review - a 12 slide PowerPoint show
34. Review of Proportion - examples and practice problems
35. Review of Ratios - examples and practice problems
36. Skillwise: Ratio and Proportion - five part module; fact sheet, game, quiz, activity and worksheet
37. Spy Guys Interactive - Ratio - Lesson 3
38. Teaching Ratios and Proportions - suggestion for teachers and parents
39. Using Proportions - online quiz
Determine the approximate locations of rational numbers on a number line.
8.1.4
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1. Comparing two numbers on a number line from Web Math. Learn how to compare two numbers using a number line. Type each number into the boxes provided, then click "Show Me!"
2. Line Jumper - Click on the number line at the correct answer.
3. Number Line Bounce - Instructions on how to play are included at the top of the window.
4. Number Line: Comparing and Ordering Integers - practice with an Interactive Adventure with Deep Sea Carl - Carl is diving in the Great Barrier Reef off the coast of Australia. These waters are shark infested. Keep Carl safe by determining how many feet below sea level Jaws Daddy is.
5. Rational Numbers on a Number Line - [ designed for 6th grade ]
6. Rational Numbers on a Number Line - a 1 page document from Glencoe Publishers; with explanation, examples, and practice problems
7. Rational Numbers on a Number Line - a 13 page document with examples and sample problems
8. Rational Numbers on a Number Line - a 22 slide PowerPoint show with good sample questions
9. Visualizing Numbers on an Interactive Number Line - instructions for using this activity are included
Determine the square roots of perfect squares (<169).
8.1.5
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1. Estimate Square Roots - a 21 slide PowerPoint show
2. Four Step Lesson on Square Roots Step three is a listing of the square root of all perfect squares up to 100 and step four is a quiz
3. Identify Perfect Squares - practice exercises at Math Pinball
4. Math Jeopardy - square root review in the form of a PowerPoint Jeopardy game
5. Number Cop - select Perfect Squares , click on Start then use the left and right arrows to move the police car to intercept only perfect squares
6. Perfect Squares and Square Roots - video lesson from Teacher Tube
7. Powers and Roots - a 17 slide PowerPoint show written by Holt, Reinhart, and Winston
8. Radical Expressions - a 147 slide PowerPoint show with many good examples
9. Roots, Radicals, and Complex Numbers - a 59 slide PowerPoint show
10. Simplify Terms Under a Radical - a square root calculator
11. Simplifying Radical Expressions - Intermediate Algebra tutorial
13. Simplifying Radicals - explanation and practice problems
14. Square Root Calculator - The Square Root Calculator will find the square root of the number you enter.
15. Square Root Calculator - simple calculator from Calculator Geek - the site also offers square root instruction and worksheets to download
16. Square Root Flashcards -
17. Square Root Matching from Quia
18. Square Root Videos - large number of videos available, scroll to find them
19. Square Root Worksheet Generator - from Homeschool Math
20. Square Roots of Perfect Squares - interactive flashcard site from Study Stack
21. Square Roots Without a Calculator from the Math Forum
22. Square Roots - a 27 slide PowerPoint show written by Holt, Reinhart, and Winston
23. Square Roots - Find the square root of a perfect square number. (a matching game like concentration)
24. Squares and Square Roots - to understand square roots, first you must understand squares
25. Squares and Square Roots - a one page worksheet which includes practice problems
26. Tic Tac Toe Squares - finding the square roots of numbers less than 1000.
Work flexibly with fractions, decimals, and percents to solve one- and two-step word problems.
8.1.6
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1. Age Word Problems - Online lesson on how to do these types of problems, plus practice
2. Calculate percent - Discover relationships between fractions, percents, and decimals
3. Equation Match - Find the value of X in each equation
4. Fractions
1. Adding Fractions - with the same denominator - instruction and review, practice, and a quiz &
2. Adding Fractions - using circle graphs - (mixed numbers)
3. Adding Fractions - mixed denominators
4. Converting Fractions, Decimals, and Percents - from Fact Monster
5. Divide fractions - using circles, will show visually how the divisor will fit into the dividend a whole number of times
6. Dividing fractions - Fraction Bar -This is a very versatile tool that can be used to illustrate a variety of number operations.
7. Equivalent Fractions - find the fraction that is equivalent to the fraction given
8. EZ Fractions - Add, Subtract, Multiply and Divide fractions - Help tools are on the site to give students every tool necessary for performing operations with fractions as easy as it has ever been!
9. Fraction Decimal Conversion - a Quia quiz
10. Fraction Decimal Conversion - another Quia matching quiz
11. Fraction Decimal Conversion - a Quia concentration style quiz
12. Fractional Distances - Find Grampy by entering a fractional distance. (includes mixed numbers and various fractions)
13. Fractions Converted to Percent and Decimals - an eleven question quiz from McGraw Hill Ryerson.
14. Multiply fractions - circles, mixed number times a whole number
15. Multiplying and Dividing Fractions - online quiz
16. Practice problems - online quiz adding and subtracting fractions
17. Percent Fraction Matching - a Quia quiz
18. Practice Converting Percent to Fractions - instruction and review, practice, and a quiz &
19. Rename Fractions in Lowest Terms - practice renaming fractions
20. Subtracting Fractions - with same denominator - instruction and review, practice, and a quiz &
21. Writing Fractions as Percent - five practice problems are at the end of the lesson
5. Late Delivery - Find the value of expression written on each door to deliver the mail
6. Math at the Mall - practice percentages and finding the best deal while shopping at a virtual mall
7. Multi-Step Word Problems - seven pages of problems for your students - solutions included at the end of the document
8. Percent Game - Funbrain site
9. Problem Solving - worksheets to be printed
10. Simple Interest Problems - instruction and review, practice, and a quiz &
11. Simple Interest Calculations - online lesson
12. Simple Interest Rates - instruction and review, practice, and a quiz &
13. Two Step Equation Word Problems - two videos to use to practice this subject
14. Two Step Maths Word Problems - this UK site allows students to take a short 10-question quiz
15. Two Step Word Problems - a one sheet problem set to print and use in class
16. Unstated Information in Fraction Problems - use the information provided to find the unstated information
17. Using percents - online quiz
18. Verbal Reasoning - Challenges students to clearly understand a problem and think through the solution!
19. Word Problems for Kids - Select your grade level and good luck! Hints are provided ( grades 5-12 )
Compute efficiently and accurately with whole numbers, fractions, decimals, and percents.
8.1.7
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1. Adding with decimals - Addition of numbers with three decimal digits
2. Fractions, Decimals or Percent - two are given, you supply the third
3. Math at the Mall - practice percentages and finding the best deal while shopping at a virtual mall
4. Multiplying and Dividing with Decimals - online quiz
5. Percent Game - Funbrain site
6. Percents and Ratios - an index of pages that teach percent and ratio skills covered in K8 math courses - Each page has an explanation, interactive practice and challenge games about percents and ratios. - instruction and review, practice, and a quiz &
7. Percent Problems - a one-player, or two-player game from Quia
8. Percent with a Calculator - after the lesson there are problems to work
9. Solving Percent Problems Using a Pyramid Grid - an interactive lesson
10. Subtracting with decimals - [ designed for 7th grade ] Subtraction with three decimal digits
Use estimation strategies to select a reasonable solution to a real-world problem involving computing with rational numbers.
8.1.8
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1. Comparison Estimator - Similar to Estimator but compares two sets of objects.
2. Disaster Math - Six sets of interactive word problems: Earthquake Math, Hurricane Math, Tornado Math, Wild Fire Math, Winter Storm Math, and Flood Math.
3. Estimating by Rounding - Addition with regrouping - instruction and review, practice, and a quiz &
4. Estimating by Rounding - Subtraction with regrouping - instruction and review, practice, and a quiz &
5. Estimating Sum - No hints or clues given - instruction and review, practice, and a quiz &
6. Estimation Strategies - several strategies are discussed
7. Estimator - Practice estimation skills by determining the number of objects, length, or area. (parameters: error tolerance)
8. Fermi Questions Library - Fermi questions use estimation procedures to solve questions like "How many jelly beans fill a one-liter jar?"
9. How Big are Things - a printable cube to be used in making size estimations [several versions]
10. How to Simplify a Number - part of being approximate is simplifying numbers
11. More or Less Estimator - Similar to Estimator activity but states a quantity and asks the user to estimate whether the set of objects is more or less than the number given.
12. Pinocchio estimation game - suggested game for developing the skill of estimation
13. Round About - estimate by rounding.
14. Rounding Off - Three levels are available in this game from BBC Education
15. Scaling the Universe to Your Desktop - estimating size
16. Spy Guys Interactive - Rounding Numbers - Lesson 9
17. Weigh the Wangdoodles - Your job is to find the weight of each Wangdoodle using the information provided by the scales. To be successful, you will have to make sure that the weight you assign to each Wangdoodle works on each scale. This activity is a fun but challenging introduction to multiple algebraic equations.
18. Word problems - online quiz adding and subtracting fractions
19. Your Body as a Ruler - a user's manual
Calculate rates involving cost per unit to determine the best buy.
8.1.9
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1. American Grocery Shoppers - Consider the problem of determining a "better buy" when you are shopping for canned tomatoes. (an interesting perspective on unit cost)
2. The Cost Per Unit of Baking Items - calculate the cost of recipes
3. How Do Unit Prices Work - from coupon and refund.com
4. Math at the Mall - practice percentages and finding the best deal while shopping at a virtual mall
5. Quiz on Smart Shopping - a three question quiz to test understanding of cost per unit
6. What's for Lunch? Pizza Cost Comparison - Visit the Internet Pizza Server and compare costs for different combinations of toppings and pizza sizes. You will also have the opportunity to create and "order" a pizza of your choice.
Use exponential, scientific, and calculator notation to represent large numbers in real-world situations.
8.1.10
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1. Calculating with Scientific Notation - explanation, several examples and links to a large number of worksheets at the bottom of the page
2. Converting Numbers to Scientific Notation - AAA Math lesson and practice problems &
3. Converting Standard Numbers to Scientific Notation - instruction and review, practice, and a quiz &
4. Converting from Scientific Notation to Standard Numbers - instruction and review, practice, and a quiz &
5. Comparing Scientific and Standard Notation Numbers - instruction and review, practice, and a quiz &
6. Converting Decimal Numbers to Scientific Notation - instruction and review, practice, and a quiz &
7. Converting from Scientific Notation to Decimal Numbers - instruction and review, practice, and a quiz &
8. Converting Fractions to Scientific Notation - instruction and review, practice, and a quiz &
9. Cube of a Number - AAA Math lesson and practice problems &
10. Division Using Scientific Notation - - two examples and seven practice problems
11. Evaluating Exponents of Negative Numbers - AAA Math lesson and practice problems &
12. Exponential Expressions - find the exponential expression that is equivalent to the number given
13. Exponent Practice - Try a workout of 10 problems. If you get at least 8 correct on your first attempt, then you're ready to move on. If not, review "In Depth" and try again.
14. Exponents - Unit 3 from Ms. Glosser's Math Goodies
15. Interactive Algebra Review on Integer Exponents
16. Multiplication and Division Problems Using Scientific Notation - two examples and seven practice problems
17. Multiplication in Scientific Notation - four examples and seven practice problems
18. Practice with Scientific Notation - Pencil and paper may be needed - (answers provided)
19. Scientific Notation - explanation from New York University's MathMol page
20. Scientific Notation - Why your wrist (or keyboard) will thank you for not writing all those zeros.
21. Scientific Notation - interactive practice
22. Scientific Notation Problem Generator - either the scientific notation or standard notation representation of a number will be shown. Put the corresponding value(s) in the empty cell(s) and press "Check Answer".
23. Scientific Notation Quiz - ten multiple choice questions
24. Simplifying - Expressions that have had their like terms combined. Match each expression on the left with an expression on the right. Type the letter of the correct expression in the box.
25. Symbols of Inclusion - simplify each expression and choose the correct comparison symbol
26. What Is Scientific Notation And How Is It Used? - explanation and several practice problems, answers given on another page
Apply order of operations in computing with rational numbers using no more than two parentheses and exponents 1 and 2.
8.1.11
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1. Algebra: Order of Operations - a quiz from Quia
2. Calculations Using Order of Operations - AAA Math lesson and practice problems &
3. Division and Order of Operations - matching game
4. Evaluating Algebraic Expressions - Order of Operations/P.E.M.D.A.S.
5. Evaluating Algebraic Expressions - from Regents Prep
6. Exploring Order of Operations - [ game ] click on the operations in correct order
7. Flintstone Example - four characters try to solve a problem, four more examples at the bottom of the page.
8. Learning Activity: Order of Operations - interactive lesson
9. Math Quiz Game: Jeopardy style - Jeopardy style PowerPoint review game
10. Order of Operations - Math Goodies from Ms. Glosser
11. Order of Operations - Try a workout of 10 problems. If you get at least 8 correct on your first attempt, then you're ready to move on. If not, review "In Depth" and try again.
12. Order of Operations - a 16 slide PowerPoint show with practice problems
13. Order of Operations - a 13 slide PowerPoint show which makes good use of animation
14. Order of Operations: What to Do First - a 25 slide PowerPoint show
15. Order of Operations Game - Drag the numbers and the operation signs on the wood board to complete the equality
16. Order of Operations Game - from MathFrog
17. Order of Operations Pretest - ten multiple choice questions
18. Order of Operations Tutorial - introduction, explanation, examples and a workout of sample problems
19. Order of Operations Tutorial - work through several examples
20. Order of Operations with Exponents - Math Goodies from Ms. Glosser
21. Order of operations game from Funbrain.com ( easier levels are available)
22. Order of Operations Online Worksheet - ten problems, answers available
23. Practice with Order of Operations - ten practice problems [ answers available ]
National Library of Virtual Manipulatives
1. Number & Operations (Grades 6-8)

## Review Help

Practice Tests!
1. Virginia State Standards of Learning - Select Math 8 , and then select 10, 20, or 40 questions.
ISAT
1. Interactive Sample Tests - released sample items from the Illinois State Board of Education
Released Tests & others
1. Eighth Grade Math - Read each question and choose the best answer. Then mark the circle next to the letter for the answer you have chosen. ( from Texas )
2. FCAT Sample Test Book - [ 2008 ] sample questions and test taking tips
3. FCAT Sample Answer Book - [ 2008 ] sample questions and test taking tips
4. TAKS 2006 Test - four subjects - math on pages 5-29
5. Texas end-of-year Math test 2003
Various Review Aids
1. Geometry Jeopardy - Topics covered: Polygons & Transformations, Circles, Symmetry, Lines & Angles, and Triangles & Congruency
2. Illuminations - interactives for grades 6-8
3. Junior High Math Interactives - includes interactive math activities, print activities, learning strategies, and videos that illustrate how math is used in everyday life.
4. Math TV: Video Word Problems - [ Grades 5+ ] Math TV is a project whose goal is to help middle school students learn how to solve challenging word problems. Each of the nineteen math problems comes with step by step video solution, follow up problems, an online calculator, and sketch pad.
 site for teachers | PowerPoint show | Acrobat document | Word document | whiteboard resource | sound | video format | interactive lesson | a quiz | lesson plan | to print

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