Eighth Grade

 

  1. Number and Operations (N)
  2. Algebra (A)
  3. Geometry (G)
  4. Data and Probability (D)

 

Additional Links to General Mathematics Sites

 

1. Number and Operations (N)

 

Eighth Grade

Understand Real Number Concepts

  1. N.ME.08.01 Understand the meaning of a square root of a number and its connection to the square whose area is the number; understand the meaning of a cube root and its connection to the volume of a cube.
    1. AAA Math: Comparing Standard Notation and Scientific Notation Numbers
      At this site students can practice comparing numbers in both standard notation and scientific notation. A brief tutorial is followed by interactive quizzes which are timed.
    2. CERN'S Powers of Ten
      Site begins with a picture of a flower that is 1 meter square. Using a ruler, students can zoom in or out by powers of ten. The picture zooms out to a picture of a galaxy that is 150 million light years across and in to protons and neutrons in the nucleus.
    3. Converting from Decimal Numbers to Scientific Notations
      This site is an activity for the students to convert a decimal into a scientific notation. The process is explained, and problems are given for the students to answer. Their work is timed, and an assessment is given for the activity.
    4. Lost King of the Maya: Long Count Calendar System
      Students will calculate the date of their birth in the Maya Long Count calendar system which uses a base 20 number system. The website is not interactive but includes teacher resources, worksheets and additional links.
    5. Math.com - Number Relationships
      Site is student interactive. Site provides a prime number calculator. The student enters a number and are told if the number if prime or not. If the number is not prime a factor of the number is given.
    6. Math Files - Grid Game
      This is an intereactive game for students. Students need to find multiples, factors, squares, cubes, roots, evens, odds, triangular numbers, etc., and that meet the given condition (such as: find the multiples of 10 that are also multiples of 20.)
    7. Negative Integer Exponent
      This is a clear and concise zero and negative integer exponent resource.
    8. Primo Math - Cycle 001
      This site contains eleven review problems to solve. The problems vary in difficulty.
    9. Proportion Basics - Number Relationships
      This is an interactive lesson on proportion which includes a good explanation along with examples. Practice problems which can be done interactively with step by step help available if necessary.
    10. Scientific Notation
      This program gives a very good defination for scientific notation.  It shows examples of how to convert from numbers to scientific notation and from scientific notation back to numbers.  Sample paper and pencil problems are available along with several sample problems requiring the use of calculators.
    11. Scientific Notation
      With this program you can practice converting between scientific notation and normal numbers.
    12. Square Roots
      Square root info in four steps, first glance, in depth, examples and work out.
    13. The Factor Game
      Outstanding This is a game that begins with a board with numbers 1-30 (or 1-49, 1-100).  To play, one student picks a number and the other has to choose the factors of that number.  Once a number is picked, it cannot be picked again, and students accumulate points based on the numbers they pick (20 points for picking 20, and 1+2+4+5+10= 22 points for the factors.  The game ends when no more numbers can be picked and the person with the most points wins.  Students can play against another human or against the computer.  There is quite a bit of strategy involved, as students are awarded points based on the number(s) they pick or force the other to pick.  The computer is TOUGH.
    14. What fun!  It's:  Practice with Scientific Notation
      This site explains what scientific notation is and why we use it. It gives several examples and how to calculate the four operations using scientific notation.  There is also a worksheet link that the students can practice or the teacher my print up.
  2. N.ME.08.02 Understand meanings for zero and negative integer exponents.
    1. AAA Math: Comparing Standard Notation and Scientific Notation Numbers
      At this site students can practice comparing numbers in both standard notation and scientific notation. A brief tutorial is followed by interactive quizzes which are timed.
    2. CERN'S Powers of Ten
      Site begins with a picture of a flower that is 1 meter square. Using a ruler, students can zoom in or out by powers of ten. The picture zooms out to a picture of a galaxy that is 150 million light years across and in to protons and neutrons in the nucleus.
    3. Converting from Decimal Numbers to Scientific Notations
      This site is an activity for the students to convert a decimal into a scientific notation. The process is explained, and problems are given for the students to answer. Their work is timed, and an assessment is given for the activity.
    4. Cubes and Cube Roots
      Clear and consis cubes and cube roots information.
    5. Lost King of the Maya: Long Count Calendar System
      Students will calculate the date of their birth in the Maya Long Count calendar system which uses a base 20 number system. The website is not interactive but includes teacher resources, worksheets and additional links.
    6. Math.com
      Site is student interactive. Site provides a prime number calculator. The student enters a number and are told if the number if prime or not. If the number is not prime a factor of the number is given.
    7. Math Files - Grid Game
      This is an intereactive game for students. Students need to find multiples, factors, squares, cubes, roots, evens, odds, triangular numbers, etc., and that meet the given condition (such as: find the multiples of 10 that are also multiples of 20.)
    8. Primo Math - Cycle 001
      This site contains eleven review problems to solve. The problems vary in difficulty.
    9. Proportion Basics
      This is an interactive lesson on proportion which includes a good explanation along with examples. Practice problems which can be done interactively with step by step help available if necessary.
    10. Scientific Notation
      This program gives a very good defination for scientific notation.  It shows examples of how to convert from numbers to scientific notation and from scientific notation back to numbers.  Sample paper and pencil problems are available along with several sample problems requiring the use of calculators.
    11. Scientific Notation
      With this program you can practice converting between scientific notation and normal numbers.
    12. The Factor Game
      Outstanding This is a game that begins with a board with numbers 1-30 (or 1-49, 1-100).  To play, one student picks a number and the other has to choose the factors of that number.  Once a number is picked, it cannot be picked again, and students accumulate points based on the numbers they pick (20 points for picking 20, and 1+2+4+5+10= 22 points for the factors.  The game ends when no more numbers can be picked and the person with the most points wins.  Students can play against another human or against the computer.  There is quite a bit of strategy involved, as students are awarded points based on the number(s) they pick or force the other to pick.  The computer is TOUGH.
    13. What fun!  It's:  Practice with Scientific Notation
      This site explains what scientific notation is and why we use it. It gives several examples and how to calculate the four operations using scientific notation.  There is also a worksheet link that the students can practice or the teacher my print up.
  3. N.ME.08.03 Understand that in decimal form, rational numbers either terminate or eventually repeat, and that calculators truncate or round repeating decimals; locate rational numbers on the number line; know fraction forms of common repeating decimals, e.g., 0.1= 1/9 ; 0.3= 1/3.
    1. AAA Math: Comparing Standard Notation and Scientific Notation Numbers
      At this site students can practice comparing numbers in both standard notation and scientific notation. A brief tutorial is followed by interactive quizzes which are timed.
    2. CERN'S Powers of Ten
      Site begins with a picture of a flower that is 1 meter square. Using a ruler, students can zoom in or out by powers of ten. The picture zooms out to a picture of a galaxy that is 150 million light years across and in to protons and neutrons in the nucleus.
    3. Comparing Fractions, Decimal, and Percents
      An interactive site to compare fractions, decimals, and percents.
    4. Converting from Decimal Numbers to Scientific Notations
      This site is an activity for the students to convert a decimal into a scientific notation. The process is explained, and problems are given for the students to answer. Their work is timed, and an assessment is given for the activity.
    5. Decimal and Whole number Jeopardy Game
      Rounding ,Comparing, Ordering Whole numbers and Decimals in Game format.Easy to use for one or two players.
    6. Fraction Model1
      This site allows students to manipulate the numerator and denominator of fractions.  There are three versions, each having different limits on what the values of each may be.  As the values are entered, a pie chart shades in the appropriate ammount, and decimal and percent values are also given.
    7. Fraction Model2
      This site allows students to manipulate the numerator and denominator of fractions.  There are three versions, each having different limits on what the values of each may be.  As the values are entered, a pie chart shades in the appropriate ammount, and decimal and percent values are also given.
    8. Fraction Model3
      This site allows students to manipulate the numerator and denominator of fractions.  There are three versions, each having different limits on what the values of each may be.  As the values are entered, a pie chart shades in the appropriate ammount, and decimal and percent values are also given.
    9. Illuminations Equivelent Fractions
      Interactive Site to Practice equilvelent fractions. Students can manipulate pie shapes to find equivelent frantions. Easy to use and valuable for students that need to see fractions to understand.
    10. Inequalities (Math.com)
      This site is a supplement for the teacher's lesson on inequalities.  A teacher would need to use a data projector to use this information. It is a useful site to help aid the classroom teacher in explaining equalities and inequalities in an easy manner.
    11. Lost King of the Maya: Long Count Calendar System
      Students will calculate the date of their birth in the Maya Long Count calendar system which uses a base 20 number system. The website is not interactive but includes teacher resources, worksheets and additional links.
    12. Math Files - Builder Ted
      This is an interactive game for students. Students place integer and decimal bricks on a ladder in their numerical order.
    13. Math Files - Saloon Snap
      This is an interactive game for students. Students need to determine if percents, decimals, and fractions are equivalent. If so, they need to ring the bell. They also need to be quicker than Fast Fingers Malcolm.
    14. Math Goodies: Lesson on the Meaning of Percent
      This is a place where students can review percents or it can be used as an introduction to percents.  There is a short quiz at the end of  lesson.
    15. No Matter What Shape Your Fractions Are In
      This site contains activities in the following areas: exploring the shapes, fun fractions, drawing fun fractions, and designer fractions. Clearly shows the geometric representations of fractions. This is a student activity.
    16. Place Value Puzzler
      This is a game which reviews the concept of place value. The questions include up to 7 numbers before the decimal point and 7 after it.  Besides naming the place values, there is also a rounding game using 7 numbers before and after the decimal point in which students must round to the nearest ten, thousandth, etc.
    17. Proportion Basics
      This is an interactive lesson on proportion which includes a good explanation along with examples. Practice problems which can be done interactively with step by step help available if necessary.
    18. Scientific Notation in Everyday Life
      When students ask,  "Where will we ever use this?" this site gives a resonable answer and
    19. Scientific Notation
      This program gives a very good defination for scientific notation.  It shows examples of how to convert from numbers to scientific notation and from scientific notation back to numbers.  Sample paper and pencil problems are available along with several sample problems requiring the use of calculators.
    20. Scientific Notation
      With this program you can practice converting between scientific notation and normal numbers.
    21. What fun!  It's:  Practice with Scientific Notation
      This site explains what scientific notation is and why we use it. It gives several examples and how to calculate the four operations using scientific notation.  There is also a worksheet link that the students can practice or the teacher my print up.
  4. N.ME.08.04 Understand that irrational numbers are those that cannot be expressed as the quotient of two integers, and cannot be represented by terminating or repeating decimals; approximate the position of familiar irrational numbers, e.g., √2, √3, π, on the number line.
    1. Decimal and Whole number Jeopardy Game
      Rounding ,Comparing, Ordering Whole numbers and Decimals in Game format.Easy to use for one or two players.
    2. Estimator
      The student will practice estimating skills in length, area, counting a large number of objects, etc.
    3. Fraction Game
      This activity allows students to individually practice working with relationships among fractions and ways of combining fractions. It can also be played as a two person game.
    4. Inequalities (Math.com)
      This site is a supplement for the teacher's lesson on inequalities.  A teacher would need to use a data projector to use this information. It is a useful site to help aid the classroom teacher in explaining equalities and inequalities in an easy manner.
    5. Irrational Numbers
      This is a clear and concise resource for irrational numbers.
    6. Math Files - Builder Ted
      This is an interactive game for students. Students place integer and decimal bricks on a ladder in their numerical order.
    7. Proportion Basics
      This is an interactive lesson on proportion which includes a good explanation along with examples. Practice problems which can be done interactively with step by step help available if necessary.
    8. Problems with a Point
      This site provides students with problems in estimation. Hints and solutions are provided for each problem. Students could work on these problems on line or the teacher may choose to download the problems to be used in class.
    9. The Perfect Pearl
      Students will estimate the number of pearls in a treasure chest first by using weight, then by using volume.
  5. N.FL.08.05 Estimate and solve problems with square roots and cube roots using calculators
    1. Estimator
      The student will practice estimating skills in length, area, counting a large number of objects, etc.
    2. Fraction Game )
      This activity allows students to individually practice working with relationships among fractions and ways of combining fractions. It can also be played as a two person game.
    3. Free Cube Root Calculator
      Free Calculator reduces cube roots to simplest radical form.
    4. Free Square Root Calculator
      Free Calculator reduces square roots to simplest radical form.
    5. Penguin Waiter
      Students play an interactive game that gives them practice calculating percentage of a number. Immediate feedback to correct and incorrect answers are given.
    6. Problems with a Point
      This site provides students with problems in estimation. Hints and solutions are provided for each problem. Students could work on these problems on line or the teacher may choose to download the problems to be used in class.
    7. The Perfect Pearl
      Students will estimate the number of pearls in a treasure chest first by using weight, then by using volume.
    8. Word Problem Strategies
      Interactive and easy to use examples of Problem solving strategies. Helps students to see how strategies can be used in math word problems.
    9. Writing Equations
      Students are given examples of how to write expressions using variables, numbers, integers, and rational numbers.  After students read through the examples they are given an on-line quiz with immediate feedback to correct and incorrect answers.
  6. N.FL.08.06 Find square roots of perfect squares and approximate the square roots of non-perfect squares by locating between consecutive integers.
    1. Estimator - Representation and Uses of Numbers 
      The student will practice estimating skills in length, area, counting a large number of objects, etc.
    2. Fraction Game - Representation and Uses of Numbers 
      This activity allows students to individually practice working with relationships among fractions and ways of combining fractions. It can also be played as a two person game.
    3. Problems with a Point - Representation and Use of Numbers
      This site provides students with problems in estimation. Hints and solutions are provided for each problem. Students could work on these problems on line or the teacher may choose to download the problems to be used in class.
    4. The Perfect Pearl - Representation and Uses of Numbers 
      Students will estimate the number of pearls in a treasure chest first by using weight, then by using volume.

Solve Problems

  1. N.MR.08.07 Understand percent increase and percent decrease in both sum and product
    form, e.g., 3% increase of a quantity x is x + .03x = 1.03x.
    1. Determining Ratios
      This is an interactive site where students can reduce the given ration into lowest form.  The student receives immediate feedback to their answer.  If the solution is correct you move on to a different problem.  If the solution is incorrect the students are told why there answer is wrong.
    2. Lesson Plans: How Big is That Star?
      This site gives a complete lesson plan for using ratios to determine the size of a star based on observation.
    3. One False Move
      This is a game where students find their way out of a haunted house by  decimals in order (either from least to most or most to least).  This includes positive and negative integers with one decimal place and varying levels of difficulty.
    4. Paper Pool Games-Number and Operations-Number Sense and Numeration
      This site allows the student to interact directly with the activity. It encourages students to challenge themselves to go beyond just looking at a simple pattern. It requires the students to look for ratios that are created from the multiples and factors of the numbers. Students will be working on beginning skills on gathering data and looking for patterns.
    5. Percent Increase or Decrease
      Percent Increase or Decrease.
    6. Population Ratios
      This site is an interdisciplinary project (mathematics, social studies) where students choose a county in the United States and using ratios convert the statistics into meaningful numbers. Students access web sites and record various population statistics pertaining to a county in the USA of their choice. Students then use this data to set up and solve ratios. Students compare data to make meaning of the numbers.
    7. Proportion Basics
      This is an interactive lesson on proportion which includes a good explanation along with examples. Practice problems which can be done interactively with step by step help available if necessary.
    8. Ratios
      This is an interactive math site where students solve for ratios.  The students are given a ratio and one part (either the numerator or denominator) of another ratio.  The students then have to solve for the missing expression.  They are given immediate feedback to their answers.
  2. N.MR.08.08 Solve problems involving percent increases and decreases.
    1. Multiplication Using Vedic Mathematics
      Visual multiplication done by drawing lines and counting intersecting lines. This is a video demonstration of multiplication using vedic mathamatics. This is an exellent alturnative for teaching, visual thinkers and visual learners how to multiply.
    2. Penguin Waiter
      Students play an interactive game that gives them practice calculating percentage of a number. Immediate feedback to correct and incorrect answers are given.
    3. Percent Increase or Decrease
      This is a clear and concise resource for percent increase or decrease.
    4. Word Problem Strategies
      Interactive and easy to use examples of Problem solving strategies. Helps students to see how strategies can be used in math word problems.
    5. Writing Equations
      Students are given examples of how to write expressions using variables, numbers, integers, and rational numbers.  After students read through the examples they are given an on-line quiz with immediate feedback to correct and incorrect answers.
  3. N.FL.08.09 Solve problems involving compounded interest or multiple discounts.
    1. Illunimations Fraction - Percent, Decimal Model
      This tool explores several representations for fractions using adjustable numerators and denominators. You can see decimal and percent equivalents, as well as a model that represents the fraction.
    2. Penguin Waiter
      Students play an interactive game that gives them practice calculating percentage of a number. Immediate feedback to correct and incorrect answers are given.
    3. Primo Math - Cycle 001
      This site contains eleven review problems to solve. The problems vary in difficulty.
    4. Problem Solving
      Interactive game. Great fun with problem solving skills required. Also, pattern and grid coordinates are tested to escape from the Dungeon.
    5. Solving Word Problems
      Interactive word problem site. Helps with students translation of word problems into a numeric equation. Students get instant feedback with the excercises on this site.
    6. Word Problem Strategies
      Interactive and easy to use examples of Problem solving strategies. Helps students to see how strategies can be used in math word problems.
    7. Writing Equations
      Students are given examples of how to write expressions using variables, numbers, integers, and rational numbers.  After students read through the examples they are given an on-line quiz with immediate feedback to correct and incorrect answers.
  4. N.MR.08.10 Calculate weighted averages such as course grades, consumer price indices,
    and sports ratings.
    1. Illunimations Fraction - Percent, Decimal Model
      This tool explores several representations for fractions using adjustable numerators and denominators. You can see decimal and percent equivalents, as well as a model that represents the fraction.
    2. Penguin Waiter
      Students play an interactive game that gives them practice calculating percentage of a number. Immediate feedback to correct and incorrect answers are given.
    3. Primo Math - Cycle 001
      This site contains eleven review problems to solve. The problems vary in difficulty.
    4. Problem Solving
      Interactive game. Great fun with problem solving skills required. Also, pattern and grid coordinates are tested to escape from the Dungeon.
    5. Solving Word Problems
      Interactive word problem site. Helps with students translation of word problems into a numeric equation. Students get instant feedback with the excercises on this site.
    6. Weighted Average
      This is a clear and concise resource for weighted average.
    7. Word Problem Strategies
      Interactive and easy to use examples of Problem solving strategies. Helps students to see how strategies can be used in math word problems.
    8. Writing Equations
      Students are given examples of how to write expressions using variables, numbers, integers, and rational numbers.  After students read through the examples they are given an on-line quiz with immediate feedback to correct and incorrect answers.
  5. N.FL.08.11 Solve problems involving ratio units, such as miles per hour, dollars per pound, or persons per square mile.
    1. Illunimations Fraction - Percent, Decimal Model
      This tool explores several representations for fractions using adjustable numerators and denominators. You can see decimal and percent equivalents, as well as a model that represents the fraction.
    2. Penguin Waiter
      Students play an interactive game that gives them practice calculating percentage of a number. Immediate feedback to correct and incorrect answers are given.
    3. Primo Math - Cycle 001
      This site contains eleven review problems to solve. The problems vary in difficulty.
    4. Problem Solving
      Interactive game. Great fun with problem solving skills required. Also, pattern and grid coordinates are tested to escape from the Dungeon.
    5. Problem Solving Involving Ratio Units.
      Clear and concise resource for problem solving involving ratio units.
    6. Solving Word Problems
      Interactive word problem site. Helps with students translation of word problems into a numeric equation. Students get instant feedback with the excercises on this site.
    7. Word Problem Strategies
      Interactive and easy to use examples of Problem solving strategies. Helps students to see how strategies can be used in math word problems.
    8. Writing Equations
      Students are given examples of how to write expressions using variables, numbers, integers, and rational numbers.  After students read through the examples they are given an on-line quiz with immediate feedback to correct and incorrect answers.

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