Seventh 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)

 

Seventh Grade

Understand Derived Quantities

  1. N.MR.07.02 Solve problems involving derived quantities such as density, velocity, and weighted averages.
    1. Absurd Math Pre-algebra From Another Dimension
      This site presents an interactive mathematical problem solving series. This site has four different locations. Each location has two objectives, a mathematical objective and a game objective. Both of these objectives must be accomplished in order to progress further into the game. The student writes simple algebraic expression and then substitutes in integers to solve the problems. The students have access to the use of a calculator on the screen. The student receives immediate feedback on correctness of the problem. The student has access to helpful hints and can redo the problem until they have it correct.
    2. 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.
    3. Equation Basics
      This interactive site allows students to work through a tutorial followed by practice problems they can complete on-line. Correct answers are given as well as help in solving equations if students have difficulty.
    4. Factor Game
      Interactive game to sharpen multiplication of integer skills.
    5. Illunimations Fraction
      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.
    6. 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.
    7. 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.
    8. Paper Pool Games
      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.
    9. 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.
    10. 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.
    11. Primo Math - Cycle 001
      This site contains eleven review problems to solve. The problems vary in difficulty.
    12. Problem Solving
      Interactive game. Great fun with problem solving skills required. Also, pattern and grid coordinates are tested to escape from the Dungeon.
    13. Product Game
      Interactive game for factors and multiples.
    14. 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.
    15. 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.
    16. 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.
    17. Teacher's Lab
      This is a student interactive site. Students are asked to find the number of cards needed if a class exchanges cards. Seven different methods for solving the problem is demonstrated.
    18. 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.
    19. Word Problems for Kids
      This site contains word problems for students and teachers, classified into grade levels 5 -12. Hints for solving problems and answers are available to students.
    20. 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.

Understand and Solve Problems Involving Rates, ratios, and Proportions

  1. N.FL.07.03 "Calculate Rates of Change Including Speed"
    1. Best Practices of Technology Integration
      Students will use the Internet to find a car they would like to buy if they were old enough.  They would then compute monthly payments and the total amount of interest paid on a typical auto loan.  This is a teacher resource.
    2. Bouncing Tennis Balls
      This is a lesson plan that has the students graph information found by bouncing a tennis ball.  They will use this information to determine the dependant and independent variables.
    3. Functions Made Easy
      Students will explore the concept of functions as relationships, as machines, s equations, and as graphs.  This is a teacher resource site.
    4. 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.
    5. Learning about Rate of Change in Linear Functions Using Interactive Graphs: Constant Cost per Minute
      This site allows students to manipulate a graph representing constant cost/minute of a phone contract.  There is also a link to a graph where the rate changes after a certain period of time ($.50/min for the first hour, $.10/minute thereafter).
    6. Primo Math - Cycle 001
      This site contains eleven review problems to solve. The problems vary in difficulty.
    7. Principles and Standards for School Mathematics:  Learning about rate of change… 
      Students interact with 2 line graphs, one with a constant variable, the other with 2 changing variables.  They answer questions to learn about change and linear graphs.
    8. Problem Solving
      Interactive game. Great fun with problem solving skills required. Also, pattern and grid coordinates are tested to escape from the Dungeon.
    9. 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.
    10. Sports and Math: Will Women Ever Surpass Their Male Counterparts?
      Students interpret numerical and graphical data about athletic performance, derive equations, and make statistical predictions.
    11. The Hot Tub
      This lesson uses the depth of water in a hot tub at various points.  Students need to describe the water level with positive or negative slope and function of depth of water over time.
  2. N.MR.07.04 Convert ratio quantities between different systems of units, such as feet per second to miles per hour.
    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. 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.
    6. 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.
    7. 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.
  3. N.FL.07.05 "Solve Proportion Problems Using Such Methods as Unit Rate, Scaling, Finding Equivalent Fractions, and Solving the Proportion Equation a/b = c/d; Know How to see Patterns about Proportional Situations in Tables."
    1. Absurd Math Pre-algebra From Another Dimension
      This site presents an interactive mathematical problem solving series. This site has four different locations. Each location has two objectives, a mathematical objective and a game objective. Both of these objectives must be accomplished in order to progress further into the game. The student writes simple algebraic expression and then substitutes in integers to solve the problems. The students have access to the use of a calculator on the screen. The student receives immediate feedback on correctness of the problem. The student has access to helpful hints and can redo the problem until they have it correct.
    2. Best Practices of Technology Integration
      Students will use the Internet to find a car they would like to buy if they were old enough.  They would then compute monthly payments and the total amount of interest paid on a typical auto loan.  This is a teacher resource.
    3. Bouncing Tennis Balls
      This is a lesson plan that has the students graph information found by bouncing a tennis ball.  They will use this information to determine the dependant and independent variables.
    4. Equation Basics
      This interactive site allows students to work through a tutorial followed by practice problems they can complete on-line. Correct answers are given as well as help in solving equations if students have difficulty.
    5. Factor Game
      Interactive game to sharpen multiplication of integer skills.
    6. From Corner to Corner
      Students are supplied with an on-line ruler and must use it to measure the side of a square and a diagonal. Students then need to analyze the data to develop a rule for estimating the length of the diagonal given the length of the side without actually measuring the length. Students then need to consider if the rule would work for other shapes. They also need to reflect on their rule and submit a short explanation of why it works. (This could also be extended to include the Pythagorean Theorem.
    7. Functions Made Easy
      Students will explore the concept of functions as relationships, as machines, s equations, and as graphs.  This is a teacher resource site.
    8. 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.
    9. Learning about Rate of Change in Linear Functions Using Interactive Graphs: Constant Cost per Minute
      This site allows students to manipulate a graph representing constant cost/minute of a phone contract.  There is also a link to a graph where the rate changes after a certain period of time ($.50/min for the first hour, $.10/minute thereafter).
    10. More Tangram Activities
      Students will use tangram pieces to complete the following objectives: gain a better understanding of area without formulas, compute the area of polygons by decompostion, gain familiarity with the names of certain polygons (e.g., rectangle, trapezoid, and pentagon), learn the meaning of the term "similar", and will develop geometric intuition.
    11. 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.
    12. Primo Math - Cycle 001
      This site contains eleven review problems to solve. The problems vary in difficulty.
    13. Principles and Standards for School Mathematics:  Learning about rate of change… 
      Students interact with 2 line graphs, one with a constant variable, the other with 2 changing variables.  They answer questions to learn about change and linear graphs.
    14. Problem Solving
      Interactive game. Great fun with problem solving skills required. Also, pattern and grid coordinates are tested to escape from the Dungeon.
    15. Product Game
      Interactive game for factors and multiples.
    16. 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.
    17. Sports and Math: Will Women Ever Surpass Their Male Counterparts?
      Students interpret numerical and graphical data about athletic performance, derive equations, and make statistical predictions.
    18. Teacher's Lab
      This is a student interactive site. Students are asked to find the number of cards needed if a class exchanges cards. Seven different methods for solving the problem is demonstrated.
    19. The Hot Tub
      This lesson uses the depth of water in a hot tub at various points.  Students need to describe the water level with positive or negative slope and function of depth of water over time.
    20. Word Problems for Kids
      This site contains word problems for students and teachers, classified into grade levels 5 -12. Hints for solving problems and answers are available to students.
    21. 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.
    22. 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.

Recognize Irrational Numbers

  1. N.MR.07.06 Understand the concept of square root and cube root, and estimate using
    calculators.
    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. Estimator
      The student will practice estimating skills in length, area, counting a large number of objects, etc.
    5. 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.
    6. 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.
    7. Math Dictionary
      Nice, easy, and quick to use interactive lesson on Exponents. Students can see the lesson and practice exponents. When page loads select E on bottom of page and look for exponents. It's easy and fun!
    8. 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.)
    9. 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.
    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. Tic Tac Toe Squares
      This site allows the student to play a tic tac toe game that is based on powers of 2 & 3. If the student is incorrect in his/her answer, the game will explain what the exponent should look like. This site can also do roots as well. In the upper right hand corner is the word "harder", use that to get to the power and root based exercises.
    13. The Perfect Pearl
      Students will estimate the number of pearls in a treasure chest first by using weight, then by using volume.
    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.

Compute With Rational Numbers

  1. N.FL.07.07 "Solve Problems Involving Operations With Integers."
    1. Absurd Math Pre-algebra From Another Dimension
      This site presents an interactive mathematical problem solving series. This site has four different locations. Each location has two objectives, a mathematical objective and a game objective. Both of these objectives must be accomplished in order to progress further into the game. The student writes simple algebraic expression and then substitutes in integers to solve the problems. The students have access to the use of a calculator on the screen. The student receives immediate feedback on correctness of the problem. The student has access to helpful hints and can redo the problem until they have it correct.
    2. Addition of Fractions New
      This is a video on addition of improper and proper fractions and also mixed numbers.
    3. Equation Basics
      This interactive site allows students to work through a tutorial followed by practice problems they can complete on-line. Correct answers are given as well as help in solving equations if students have difficulty.
    4. Factor Game
      Interactive game to sharpen multiplication of integer skills.
    5. Multiplication of Fractions New
      Concepts covered: Multiplication of Improper and Proper Fractions and also Mixed Numbers
    6. Operations on Numbers New
      This lesson consists of providing you with a Self-Tutorial on the typical operations done on numbers. These include: absolute value, opposites, addition, subtraction, multiplication, division and simple exponents. Order of Operations is covered in detail. I also explain how to use your graphing calculator to help you perform all these operations.
    7. Product Game
      Interactive game for factors and multiples.
    8. Teacher's Lab
      This is a student interactive site. Students are asked to find the number of cards needed if a class exchanges cards. Seven different methods for solving the problem is demonstrated.
    9. Word Problems for Kids
      This site contains word problems for students and teachers, classified into grade levels 5 -12. Hints for solving problems and answers are available to students.
  2. N.FL.07.08 "Add, Subtract, Multiply, and Divide Positive and Negative Rational Numbers Fluently."
    1. Classification of Numbers New
      This lesson consists of providing you with a Self-Tutorial on all about the classification and sets of numbers. Learn what are natural numbers, integers, rational numbers and more. I also explain how to use your graphing calculator to input all types of numbers (integers, fractions, square roots, etc.).
    2. Equation Basics
      This interactive site allows students to work through a tutorial followed by practice problems they can complete on-line. Correct answers are given as well as help in solving equations if students have difficulty.
    3. Introduction to Algebra
      Introduction to Algebra Variables, Expressions, Equations, Solution of an equation, Simplifying equations, Combining like terms, Simplifying with addition and subtraction, Simplifying by multiplication, Simplifying by division, Word problems as equations, and Sequences.
    4. Late Delivery
      This is an interactive game for students to solve algebraic expression problems. Tips are given and students can learn about evaluating expressions and powers under the "key ideas" section.
    5. Math Forum - K-12 Math Problems, Puzzles, Tips and Tricks
      General information for mental calculation including tips to beat a calculator, divisibility rules, and multiplication tips.
    6. Math Goodies: Lesson on Order of Operations
      Students learn how to compute using order of operations.  Practice problems for students to work on are provided.  There are several variations included in this site such as exponents, integers, and equations.
    7. Multiplication With Integers
      This is an interactive site for students to learn the rules for multiplying positive and negative integers and then a game with different variations to practice their skills.
    8. Operation Order
      This site is an interactive game where students have to place integers in the blanks of an equation using order of operations to get the given answer. Immediate feedback for students.
    9. Teacher's Lab
      This is a student interactive site. Students are asked to find the number of cards needed if a class exchanges cards. Seven different methods for solving the problem is demonstrated.
  3. N.FL.07.09 "Estimate Results of Computations With Rational Numbers."
    1. Absurd Math Pre-algebra From Another Dimension
      This site presents an interactive mathematical problem solving series. This site has four different locations. Each location has two objectives, a mathematical objective and a game objective. Both of these objectives must be accomplished in order to progress further into the game. The student writes simple algebraic expression and then substitutes in integers to solve the problems. The students have access to the use of a calculator on the screen. The student receives immediate feedback on correctness of the problem. The student has access to helpful hints and can redo the problem until they have it correct.
    2. Equation Basics
      This interactive site allows students to work through a tutorial followed by practice problems they can complete on-line. Correct answers are given as well as help in solving equations if students have difficulty.
    3. Estimator
      The student will practice estimating skills in length, area, counting a large number of objects, etc.
    4. Factor Game
      Interactive game to sharpen multiplication of integer skills.
    5. 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.
    6. Introduction to Algebra
      Introduction to Algebra Variables, Expressions, Equations, Solution of an equation, Simplifying equations, Combining like terms, Simplifying with addition and subtraction, Simplifying by multiplication, Simplifying by division, Word problems as equations, and Sequences.
    7. Late Delivery - Operations and their Properties (V.1.MS.2)
      This is an interactive game for students to solve algebraic expression problems. Tips are given and students can learn about evaluating expressions and powers under the "key ideas" section.
    8. Math Forum - K-12 Math Problems, Puzzles, Tips and Tricks
      General information for mental calculation including tips to beat a calculator, divisibility rules, and multiplication tips.
    9. Math Goodies: Lesson on Order of Operations
      Students learn how to compute using order of operations.  Practice problems for students to work on are provided.  There are several variations included in this site such as exponents, integers, and equations.
    10. Multiplication With Integers
      This is an interactive site for students to learn the rules for multiplying positive and negative integers and then a game with different variations to practice their skills.
    11. Operation Order
      This site is an interactive game where students have to place integers in the blanks of an equation using order of operations to get the given answer. Immediate feedback for students.
    12. 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.
    13. Product Game
      Interactive game for factors and multiples.
    14. Teacher's Lab
      This is a student interactive site. Students are asked to find the number of cards needed if a class exchanges cards. Seven different methods for solving the problem is demonstrated.
    15. The Perfect Pearl
      Students will estimate the number of pearls in a treasure chest first by using weight, then by using volume.
    16. Word Problems for Kids
      This site contains word problems for students and teachers, classified into grade levels 5 -12. Hints for solving problems and answers are available to students.

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