1. Number and Operations (N)
Eighth Grade
Understand Real Number Concepts
- 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.
- 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.
- 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.
- 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.
- 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.
- Math Files - Grid Game - This is an interactive 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.)
- 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.
- Scientific Notation - This program gives a very good definition 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.
- Scientific Notation - With this program you can practice converting between scientific notation and normal numbers.
- 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.
- 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.
- N.ME.08.02 Understand meanings for zero and negative integer exponents.
- 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.
- 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.
- 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.
- 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.
- Math Files - Grid Game - This is an interactive 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.).
- 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.
- Scientific Notation - This program gives a very good definition 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.
- Scientific Notation - With this program you can practice converting between scientific notation and normal numbers.
- 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.
- 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.
- 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.
- 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.
- 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.
- Decimal and Whole number Jeopardy Game - Rounding, comparing, ordering whole numbers and decimals in game format.Easy to use for one or two players.
- Fraction Model 1 - 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 amount, and decimal and percent values are also given.
- Fraction Model 2 - 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 amount, and decimal and percent values are also given.
- Fraction Model 3 - 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 amount, and decimal and percent values are also given.
- Illuminations Equivalent Fractions - Interactive Site to Practice equivalent fractions. Students can manipulate pie shapes to find equivalent fractions. Easy to use and valuable for students that need to see fractions to understand.
- 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.
- 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.
- Math Files - Builder Ted - This is an interactive game for students. Students place integer and decimal bricks on a ladder in their numerical order.
- 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.
- 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.
- 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.
- 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.
- Scientific Notation in Everyday Life - When students ask, "Where will we ever use this?" this site gives a reasonable answer and explanation.
- Scientific Notation - This program gives a very good definition 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.
- Scientific Notation - With this program you can practice converting between scientific notation and normal numbers.
- 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.
- 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.
- Decimal and Whole Number Jeopardy Game - Rounding, comparing, ordering whole numbers and decimals in game format. Easy to use for one or two players.
- Estimator - The student will practice estimating skills in length, area, counting a large number of objects, etc.
- 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.
- 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.
- Math Files - Builder Ted - This is an interactive game for students. Students place integer and decimal bricks on a ladder in their numerical order.
- 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.
- 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.
- The Perfect Pearl - Students will estimate the number of pearls in a treasure chest first by using weight, then by using volume.
- N.FL.08.05 Estimate and solve problems with square roots and cube roots using calculators
- Estimator - The student will practice estimating skills in length, area, counting a large number of objects, etc.
- 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.
- 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.
- 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.
- The Perfect Pearl - Students will estimate the number of pearls in a treasure chest first by using weight, then by using volume.
- 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.
- 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.
- N.FL.08.06 Find square roots of perfect squares and approximate the square roots of non-perfect squares by locating between consecutive integers.
- Estimator - Representation and Uses of Numbers (IV.2.MS.4) - The student will practice estimating skills in length, area, counting a large number of objects, etc.
- Fraction Game - Representation and Uses of Numbers (IV.2.MS.4) - 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.
- Problems with a Point - Representation and Use of Numbers (IV.2.MS.4) - 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.
- The Perfect Pearl - Representation and Uses of Numbers (IV.2.MS.4) - Students will estimate the number of pearls in a treasure chest first by using weight, then by using volume.
- 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.
- 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.
- 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.
- 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.
- 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.
- N.MR.08.08 Solve problems involving percent increases and decreases.
- 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.
- 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.
- 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.
- N.FL.08.09 Solve problems involving compounded interest or multiple discounts.
- Illuminations 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.
- 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.
- Problem Solving - Interactive game. Great fun with problem solving skills required. Also, pattern and grid coordinates are tested to escape from the dungeon.
- Solving Word Problems - Interactive word problem site. Helps with students translation of word problems into a numeric equation. Students get instant feedback with the exercises on this site.
- 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.
- 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.
- N.MR.08.10 Calculate weighted averages such as course grades, consumer price indices,
and sports ratings.- Illuminations 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.
- 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.
- Problem Solving - Interactive game. Great fun with problem solving skills required. Also, pattern and grid coordinates are tested to escape from the dungeon.
- Solving Word Problems - Interactive word problem site. Helps with students translation of word problems into a numeric equation. Students get instant feedback with the exercises on this site.
- 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.
- 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.
- N.FL.08.11 Solve problems involving ratio units, such as miles per hour, dollars per pound, or persons per square mile.
- Illuminations 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.
- 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.
- Problem Solving - Interactive game. Great fun with problem solving skills required. Also, pattern and grid coordinates are tested to escape from the dungeon.
- Solving Word Problems - Interactive word problem site. Helps with students translation of word problems into a numeric equation. Students get instant feedback with the exercises on this site.
- 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.
- 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.