1. Number and Operations (N)
Seventh Grade
Understand Derived Quantities
- N.MR.07.02 Solve problems involving derived quantities such as density, velocity, and weighted averages.
- 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.
- 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.
- 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.
- Factor Game - Interactive game to sharpen multiplication of integer skills.
- Illuminations 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.
- 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.
- 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.
- 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.
- Product Game - Interactive game for factors and multiples.
- 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.
- 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.
- 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.
- 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.
- 7th grade math games -NEW- This site provides a variety of interactive math games for elementary and middle school students.
- N.FL.07.03 "Calculate rates of change including speed."
- 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 dependent and independent variables.
- 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.
- 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).
- 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.
- 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.
- 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.
- 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.
- N.MR.07.04 Convert ratio quantities between different systems of units, such as feet per second to miles per hour.
- 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.
- 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.
- 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.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."
- 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.
- 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 dependent and independent variables.
- 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.
- Factor Game - Interactive game to sharpen multiplication of integer skills.
- 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.
- 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.
- 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).
- 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 decomposition, 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.
- 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.
- 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.
- Problem Solving - Interactive game. Great fun with problem solving skills required. Also, pattern and grid coordinates are tested to escape from the dungeon.
- Product Game - Interactive game for factors and multiples.
- 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.
- 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.
- 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.
- 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.
- 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.07.06 Understand the concept of square root and cube root, and estimate using calculators.
- 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.
- 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.
- 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 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!
- 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.)
- 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.
- 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.
- 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.
- The Perfect Pearl - Students will estimate the number of pearls in a treasure chest first by using weight, then by using volume.
- 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.FL.07.07 "Solve problems involving operations with integers."
- 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.
- Factor Game - Interactive game to sharpen multiplication of integer skills.
- Product Game - Interactive game for factors and multiples.
- 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.
- Math Playground -NEW- Action packed site with fun and challenging online math games. Play with numbers and give your brain a workout!
- N.FL.07.08 "Add, subtract, multiply, and divide positive and negative rational numbers fluently."
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- N.FL.07.09 "Estimate results of computations with rational numbers."
- 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.
- 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.
- Estimator - The student will practice estimating skills in length, area, counting a large number of objects, etc.
- Factor Game - Interactive game to sharpen multiplication of integer skills.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Product Game - Interactive game for factors and multiples.
- 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.
- The Perfect Pearl - Students will estimate the number of pearls in a treasure chest first by using weight, then by using volume.