Sixth Grade

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

 

Additional Links to General Mathematics Sites

 

2. Algebra (A)

 

Sixth Grade

Calculate Rates

  1. A.PA.06.01 Solve applied problems involving rates, including speed, e.g., if a car is going 50 mph, how far will it go in 3?? hours?
    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. Escape from Knab
      This site is a wonderful interactive game/simulation that allows the student to learn basic finance.  Students land on the planet Knab and have to earn their ticket back to Earth.  Students learn financial vocabulary, such as budget, capital gains, income tax, using a highly accessible glossary.  Students will choose a job, calculate income, calculate tax withholdings, estimate long and short term expenses.  Students have to analyze real life financial situations and make decisions based on their findings.  This game could be played as teams or individuals.  There is a spot for teachers to find lesson plans, tips and curriculum alignment information.
    3. Figure This! Math Challenges for Families
      Figure This! Mathematics Challenges for Families provides interesting math challenges that middle-school students can do at home with their families. Each challenge features a description of the important math involved, a note on where the math is used in the real world, a hint to get started, complete solutions, "Try This" section, additional related problems with answers, questions to think about, fun facts related to the math, and resources for further explorations. Math Challenge #21 is an example of a problem that would help teach this particular benchmark.
    4. Lemonade Stand
      Students run a virtual lemonade stand. The goal of the student is to make as much money as they can in 30 days. Students have control over every part of the business, including pricing, quality control, inventory control, and purchasing supplies. The game also mentions outside factors such as weather and how that would affect business.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    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. 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.
    11. Webmath
      This site allows the students to see how math is used in everyday life. The student has access to calculators that figure out restaurant tips, sale prices, windchill, electric bills, simple interest, compound interest, retirement, loans and stocks. The student is active in figuring these things out.
    12. Word Problems for Kids
      Has numerous story problems that students read and answer the questions. If they need help they can click on the hint link and receive hints to solving the problems.

Understand the Coordinate Plane

  1. A.RP.06.02 Plot ordered pairs of integers and use ordered pairs of integers to identify points in all four quadrants of the coordinate plane.
    1. Count On
      Worm Hunt is great for practicing the coordinate grid.  The students choose a coordinate pair to try to find a worm.  They get a response to let them know how far they are from the worm, thus the students have to practice figuring distances between points on the grid.  This would be an excellent game for 5th and 6th graders.
    2. Latitude, Longitude, and Mapmaking
      This lesson requires students to review the concepts of latitude and longitude and to use these concepts to create maps of different countries on the computer. They'll conclude by discussing the reasons why it's important to understand latitude and longitude and by creating quizzes in which other students can locate "mystery" places that they map on the computer. The Crack the Code activity has students using a map and latitude/longitude to track down some theives.
    3. Taxicab Treasure Hunt
      A treasure is hidden in the city. Students are given a map which shows the streets of the city. After picking an intersection, the computer will state how far it is to the treasure by using the shortest distance in blocks. Students need to use this new information, along with the old information, to determine where the treasure is. Students are then asked to write an explanation of the process that they used to locate the treasure. Although this explanation cannot be submitted to the creators of the site, the teacher could informally assess students' problem-solving skills by reading their explanations. Student can also read what other students have written in the past.
    4. What's the Point, FunBrain New
      An activity allowing students to practice finding points on a coordinate plane.

Use Variables, Write Expressions and Equations and Combine like Terms

  1. A.FO.06.03 Use letters, with units, to represent quantities in a variety of contexts,
    e.g., y lbs., k minutes, x cookies.
    1. I want a credit card - or do I?
      Students will pretend to borrow $1000.00 on a credit card. They will pretend to make minimum payments for a year. When they're done, they will make a pie chart showing how much of their payments reduced their debt, and how much was interest. A student worksheet, resources, and lesson extensions are included. Students will be writing and solving one-step linear equations in one variable. This includes a teacher lesson plan and is a student activity.
    2. Math Files - Equation Match
      This is an interactive game for students. They must find two equations that have the same solution. It is similar to a game of "Concentration". (Warning to teachers: Students may need a few minutes to play with the long arm.)
    3. Mrs Glossers Math Goodies
      Interactive Site that reviews Writing Algebraic Equations. Students can read questions and pick Equations that will answer the question.
    4. Multimedia Math Glossary
      Outstanding!       Gives students a visual along with the definition. Some examples are animated, but all examples have the word and the definition is read to them. Grades K-8
    5. Using Algebra and Discrete Mathematics to Investigate Population Changes in a Trout Pond
      This investigation illustrates the use of iteration, recursion and algebra to model and analyze a changing fish population. Graphs, equations, tables, and technological tools are used to investigate the effect of varying parameters on the long-term population. Students will complete a numerical analysis, a graphical analysis, and a symbolic analysis from the data.
    6. Waldo's Interactive Math
      This interactive sites includes an activity allowing students to manipulate a number line in order to solve equations. Students may choose the difficulty of the equations they wish to solve. Some teacher direction may be needed initially although the directions are clear. This site uses JAVA applets.
  2. A.FO.06.04 Distinguish between an algebraic expression and an equation.
    1. I want a credit card - or do I?
      Students will pretend to borrow $1000.00 on a credit card. They will pretend to make minimum payments for a year. When they're done, they will make a pie chart showing how much of their payments reduced their debt, and how much was interest. A student worksheet, resources, and lesson extensions are included. Students will be writing and solving one-step linear equations in one variable. This includes a teacher lesson plan and is a student activity.
    2. Math Files - Equation Match
      This is an interactive game for students. They must find two equations that have the same solution. It is similar to a game of "Concentration". (Warning to teachers: Students may need a few minutes to play with the long arm.)
    3. Mrs Glossers Math Goodies
      Interactive Site that reviews Writing Algebraic Equations. Students can read questions and pick Equations that will answer the question.
    4. Multimedia Math Glossary
      Outstanding Gives students a visual along with the definition. Some examples are animated, but all examples have the word and the definition is read to them. Grades
      K-8
    5. Using Algebra and Discrete Mathematics to Investigate Population Changes in a Trout Pond
      This investigation illustrates the use of iteration, recursion and algebra to model and analyze a changing fish population. Graphs, equations, tables, and technological tools are used to investigate the effect of varying parameters on the long-term population. Students will complete a numerical analysis, a graphical analysis, and a symbolic analysis from the data.
    6. Waldo's Interactive Math
      This interactive sites includes an activity allowing students to manipulate a number line in order to solve equations. Students may choose the difficulty of the equations they wish to solve. Some teacher direction may be needed initially although the directions are clear. This site uses JAVA applets.
  3. A.FO.06.05 Use standard conventions for writing algebraic expressions, e.g., 2x + 1 means “two times x, plus 1” and 2(x + 1) means “two times the quantity (x + 1).”
    1. I want a credit card - or do I?
      Students will pretend to borrow $1000.00 on a credit card. They will pretend to make minimum payments for a year. When they're done, they will make a pie chart showing how much of their payments reduced their debt, and how much was interest. A student worksheet, resources, and lesson extensions are included. Students will be writing and solving one-step linear equations in one variable. This includes a teacher lesson plan and is a student activity.
    2. Math Files - Equation Match
      This is an interactive game for students. They must find two equations that have the same solution. It is similar to a game of "Concentration". (Warning to teachers: Students may need a few minutes to play with the long arm.)
    3. Mrs Glossers Math Goodies
      Interactive Site that reviews Writing Algebraic Equations. Students can read questions and pick Equations that will answer the question.
    4. Multimedia Math Glossary
      Outstanding! Gives students a visual along with the definition. Some examples are animated, but all examples have the word and the definition is read to them. Grades K-8
    5. Using Algebra and Discrete Mathematics to Investigate Population Changes in a Trout Pond
      This investigation illustrates the use of iteration, recursion and algebra to model and analyze a changing fish population. Graphs, equations, tables, and technological tools are used to investigate the effect of varying parameters on the long-term population. Students will complete a numerical analysis, a graphical analysis, and a symbolic analysis from the data.
    6. Waldo's Interactive Math
      This interactive sites includes an activity allowing students to manipulate a number line in order to solve equations. Students may choose the difficulty of the equations they wish to solve. Some teacher direction may be needed initially although the directions are clear. This site uses JAVA applets.
  4. A.FO.06.06 Represent information given in words using algebraic expressions and equations.
    1. I want a credit card - or do I?
      Students will pretend to borrow $1000.00 on a credit card. They will pretend to make minimum payments for a year. When they're done, they will make a pie chart showing how much of their payments reduced their debt, and how much was interest. A student worksheet, resources, and lesson extensions are included. Students will be writing and solving one-step linear equations in one variable. This includes a teacher lesson plan and is a student activity.
    2. Math Files - Equation Match
      This is an interactive game for students. They must find two equations that have the same solution. It is similar to a game of "Concentration". (Warning to teachers: Students may need a few minutes to play with the long arm.)
    3. Mrs Glossers Math Goodies
      Interactive Site that reviews Writing Algebraic Equations. Students can read questions and pick Equations that will answer the question.
    4. Multimedia Math Glossary
      Outstanding! Gives students a visual along with the definition. Some examples are animated, but all examples have the word and the definition is read to them. Grades K-8
    5. Using Algebra and Discrete Mathematics to Investigate Population Changes in a Trout Pond
      This investigation illustrates the use of iteration, recursion and algebra to model and analyze a changing fish population. Graphs, equations, tables, and technological tools are used to investigate the effect of varying parameters on the long-term population. Students will complete a numerical analysis, a graphical analysis, and a symbolic analysis from the data.
    6. Waldo's Interactive Math
      This interactive sites includes an activity allowing students to manipulate a number line in order to solve equations. Students may choose the difficulty of the equations they wish to solve. Some teacher direction may be needed initially although the directions are clear. This site uses JAVA applets.
  5. A.FO.06.07 Simplify expressions of the first degree by combining like terms, and evaluate
    using specific values.
    1. I want a credit card - or do I?
      Students will pretend to borrow $1000.00 on a credit card. They will pretend to make minimum payments for a year. When they're done, they will make a pie chart showing how much of their payments reduced their debt, and how much was interest. A student worksheet, resources, and lesson extensions are included. Students will be writing and solving one-step linear equations in one variable. This includes a teacher lesson plan and is a student activity.
    2. Math Files - Equation Match
      This is an interactive game for students. They must find two equations that have the same solution. It is similar to a game of "Concentration". (Warning to teachers: Students may need a few minutes to play with the long arm.)
    3. Mrs Glossers Math Goodies
      Interactive Site that reviews Writing Algebraic Equations. Students can read questions and pick Equations that will answer the question.
    4. Multimedia Math Glossary
      Outstanding! Gives students a visual along with the definition. Some examples are animated, but all examples have the word and the definition is read to them. Grades K-8
    5. Using Algebra and Discrete Mathematics to Investigate Population Changes in a Trout Pond
      This investigation illustrates the use of iteration, recursion and algebra to model and analyze a changing fish population. Graphs, equations, tables, and technological tools are used to investigate the effect of varying parameters on the long-term population. Students will complete a numerical analysis, a graphical analysis, and a symbolic analysis from the data.
    6. Waldo's Interactive Math
      This interactive sites includes an activity allowing students to manipulate a number line in order to solve equations. Students may choose the difficulty of the equations they wish to solve. Some teacher direction may be needed initially although the directions are clear. This site uses JAVA applets.

Represent Linear Functions Using Tables, Equations, and Graphs

  1. A.RP.06.08 Understand that relationships between quantities can be suggested by graphs and tables.
    1. A Functional Housing Market
      Students will access the Internet to search for housing prices in their town and compare the prices to the number of square feet found in the living area of the house. A linear equation will be derived from the data on a coordinate plane. Any "best-fit" method for determining the graph of the line can be used. This contains a teacher lesson plan and is a student activity. This is designed for an Algebra One course.
    2. Adventures in Statistics
      Students need to collect information about the classroom in their building (example: length, width, height and number of students in the different classrooms). After collecting all the data the students then need to construct graphs representing this data. This contains a teacher lesson plan and is a student activity.
    3. Fun and Sun: Rent a Car
      Students are given the task to rent a car for a family vacation. After collecting their data on various cars and given destinations, they arrange their data in both a table and a graph. Based on there data students will select their best choice for car rental.
    4. Houston Area Real-Time Traffic Report
      Students will calculate the time needed to travel a certain distance given the rate of speed. They will be collecting "real-time traffic maps of the Houston area. Upon collecting their information they will construct graphs. This contains a teacher lesson plan and is a student activity.
    5. Math Goodies: Introduction to Statistics
      This site introduces mean, median, mode, and range.  It is a good review of these concepts or it can be used to introduce the topics.  A short quiz is offered at the end of the lesson to reinforce student learning.
    6. Rectangle Pattern Challenges
      This site explores patterns in rectangles and then has students organizing the data they find into a table.  Also has discussion questions at the end. Use as whole class instruction or print off for inividual use.
    7. Snowfall Statistics for Snowboarding
      Students use the Internet to collect the current daily snowfall amounts and also to find the price of a lift ticket for snowboarding at different ski resorts in the United States, the students will take a personal interest in the statistics that we are working with. This interest will create a desire to learn, with the result being that the students will be much more successful in mastering a difficult math topic.
    8. Surfing Amusement Parks
      Students have a choice of going to any one of five amusement parks in California. They have to choose one with an entrance fee that is the median price range. Surf the Internet to find how much it will cost for your family to go to each park and then graph your findings. This contains a teacher lesson plan and is a student activity.
    9. The Hand Shake
      A data collection and analysis class experiment. Use a table to show the number of handshakes when every person in the room shakes hands with everyone else.
    10. What Percentage of Your Class is Right or Left Handed?
      Students will write letters down for 20 seconds with their right hand and then do the same for their left. Record the results in a graph form. This is a student activity.
    11. World Shopping Spree
      In this activity, students work in cooperative groups to compare prices for the same merchandise from shops in four different countries. They convert the prices using current exchange rates and determine what they think will be the best buy. Information is illustrated in graphs and tables. They can also share this information is written form.
  2. A.PA.06.09 Solve problems involving linear functions whose input values are integers; write the equation; graph the resulting ordered pairs of integers, e.g., given c chairs, the “leg function” is 4c; if you have 5 chairs, how many legs?; if you have 12 legs, how many chairs?*
    1. Ask Dr. Math
      This site gives students a number of algebraic word problems to work.  Ask Dr. Math is a great site for students to receive feedback to enhance their understanding of the problems.
    2. Buying a Car  
      Students will use the internet as a resource to look for a car.  They will find a car that they would like to buy and will figure out the amount needed to buy the car, how much would be paid in interest, how much the loan would be for, as well as the many other factors need in buying a vehicle.
    3. Escape from Knab
      This site is a wonderful interactive game/simulation that allows the student to learn basic finance.  Students land on the planet Knab and have to earn their ticket back to Earth.  Students learn financial vocabulary, such as budget, capital gains, income tax, using a highly accessible glossary.  Students will choose a job, calculate income, calculate tax withholdings, estimate long and short term expenses.  Students have to analyze real life financial situations and make decisions based on their findings.  This game could be played as teams or individuals.  There is a spot for teachers to find lesson plans, tips and curriculum alignment information.
    4. Figure This! Math Challenges for Families
      Figure This! Mathematics Challenges for Families provides interesting math challenges that middle-school students can do at home with their families. Each challenge features a description of the important math involved, a note on where the math is used in the real world, a hint to get started, complete solutions, a "Try This" section, additional related problems with answers, questions to think about, fun facts related to the math, and resources for further exploration. Math Challenge #7 and #11 are examples of problems that would help teach this particular objective.
    5. Math for Morons Like Us - Algebra - Word Problems
      This site provides explanations, examples, and vocabulary definitions that can be used in solving word problems using algebraic equations. As follow-up the student can take a short quiz that includes an explanation of what problems were missed and what was done wrong. This site contains general information and is a student activity.
    6. Pathfinder: Measuring Wind Speed )
      Students create  their own anemometer, an instrument used to measure wind speed.  Students can plot and then analyze real world wind speed data collected by Pathfinder during one of its recent missions.  This is a teacher resource.
    7. 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.
    8. Solving Functions
      An interactive site to develop strategies to solve functions.
    9. The Next Billion 
      Students predict when the  world population will reach 7 billion. Students will discuss things in the environment that are constantly changing.  They will use this information as well as other data to predict when the population will reach 7 billion.  They will discuss the reliability of their predictions, compare them to past trends, and discuss social factors that can affect population growth.
    10. Using Algebra and Discrete Mathematics to Investigate Population Changes in a Trout Pond
      This investigation illustrates the use of iteration, recursion and algebra to model and analyze a changing fish population. Graphs, equations, tables, and technological tools are used to investigate the effect of varying parameters on the long-term population. Students will complete a numerical analysis, a graphical analysis, and a symbolic analysis from the data.
  3. A.RP.06.10 Represent simple relationships between quantities using verbal descriptions, formulas or equations, tables, and graphs, e.g., perimeter-side relationship for a square, distance-time graphs, and conversions such as feet to inches.
    1. A Functional Housing Market
      Students will access the Internet to search for housing prices in their town and compare the prices to the number of square feet found in the living area of the house. A linear equation will be derived from the data on a coordinate plane. Any "best-fit" method for determining the graph of the line can be used. This contains a teacher lesson plan and is a student activity. This is designed for an Algebra One course.
    2. Adventures in Statistics
      Students need to collect information about the classroom in their building (example: length, width, height and number of students in the different classrooms). After collecting all the data the students then need to construct graphs representing this data. This contains a teacher lesson plan and is a student activity.
    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. Fun and Sun: Rent a Car
      Students are given the task to rent a car for a family vacation. After collecting their data on various cars and given destinations, they arrange their data in both a table and a graph. Based on there data students will select their best choice for car rental.
    5. Houston Area Real-Time Traffic Report
      Students will calculate the time needed to travel a certain distance given the rate of speed. They will be collecting "real-time traffic maps of the Houston area. Upon collecting their information they will construct graphs. This contains a teacher lesson plan and is a student activity.
    6. I want a credit card - or do I?
      Students will pretend to borrow $1000.00 on a credit card. They will pretend to make minimum payments for a year. When they're done, they will make a pie chart showing how much of their payments reduced their debt, and how much was interest. A student worksheet, resources, and lesson extensions are included. Students will be writing and solving one-step linear equations in one variable. This includes a teacher lesson plan and is a student activity.
    7. Math Files - Equation Match
      This is an interactive game for students. They must find two equations that have the same solution. It is similar to a game of "Concentration". (Warning to teachers: Students may need a few minutes to play with the long arm.)
    8. Mrs Glossers Math Goodies
      Interactive Site that reviews Writing Algebraic Equations. Students can read questions and pick Equations that will answer the question.
    9. Math Goodies: Introduction to Statistics
      This site introduces mean, median, mode, and range.  It is a good review of these concepts or it can be used to introduce the topics.  A short quiz is offered at the end of the lesson to reinforce student learning.
    10. Multimedia Math Glossary
      Outstanding! Gives students a visual along with the definition. Some examples are animated, but all examples have the word and the definition is read to them. Grades K-8
    11. Online Graphing
      Outstanding - Will graph functions like a graphing calculator would do, only easier.  Great for those without access to graphing calculators.
    12. 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.
    13. Snowfall Statistics for Snowboarding
      Students use the Internet to collect the current daily snowfall amounts and also to find the price of a lift ticket for snowboarding at different ski resorts in the United States, the students will take a personal interest in the statistics that we are working with. This interest will create a desire to learn, with the result being that the students will be much more successful in mastering a difficult math topic.
    14. 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.
    15. Surfing Amusement Parks
      Students have a choice of going to any one of five amusement parks in California. They have to choose one with an entrance fee that is the median price range. Surf the Internet to find how much it will cost for your family to go to each park and then graph your findings. This contains a teacher lesson plan and is a student activity.
    16. The Rich Get Rich
      Students complete a chart which explains whether it would be better to take $1,000,000 or take $0.01 the first day and have it doubled every day after that. There is a story that the students follow to get to the answer.
    17. Using Algebra and Discrete Mathematics to Investigate Population Changes in a Trout Pond
      This investigation illustrates the use of iteration, recursion and algebra to model and analyze a changing fish population. Graphs, equations, tables, and technological tools are used to investigate the effect of varying parameters on the long-term population. Students will complete a numerical analysis, a graphical analysis, and a symbolic analysis from the data.
    18. Waldo's Interactive Math
      This interactive sites includes an activity allowing students to manipulate a number line in order to solve equations. Students may choose the difficulty of the equations they wish to solve. Some teacher direction may be needed initially although the directions are clear. This site uses JAVA applets.
    19. What Percentage of Your Class is Right or Left Handed?
      Students will write letters down for 20 seconds with their right hand and then do the same for their left. Record the results in a graph form. This is a student activity.
    20. World Shopping Spree
      In this activity, students work in cooperative groups to compare prices for the same merchandise from shops in four different countries. They convert the prices using current exchange rates and determine what they think will be the best buy. Information is illustrated in graphs and tables. They can also share this information is written form.

Solve Equations

  1. A.FO.06.11 Relate simple linear equations with integer coefficients, e.g., 3x = 8 or x + 5 = 10, to particular contexts and solve.*
    1. I want a credit card - or do I?
      Students will pretend to borrow $1000.00 on a credit card. They will pretend to make minimum payments for a year. When they're done, they will make a pie chart showing how much of their payments reduced their debt, and how much was interest. A student worksheet, resources, and lesson extensions are included. Students will be writing and solving one-step linear equations in one variable. This includes a teacher lesson plan and is a student activity.
    2. Kids Math SyvumBook Level II
      This is an interactive site for 6th grade and up students to solve algebraic problems. Students solve algebraic equations by finding the value of x and can then submit their answer for scoring. Results can be emailed to the teacher.
    3. Math Files - Equation Match
      This is an interactive game for students. They must find two equations that have the same solution. It is similar to a game of "Concentration". (Warning to teachers: Students may need a few minutes to play with the long arm.)
    4. Math Playground Algebra Puzzles Students are given a puzzle grid with pictures and a number total at the end of the columns and rows. Students are to identify the value of each picture to make the given sum. Students are using mental math or can also use paper pencil to solve the problem. Hitting the check button tells the students which values are correct or not correct. Students are using estimation skills and mental math strategies. Good for upper elementary practice.
    5. Mrs Glossers Math Goodies
      Interactive Site that reviews Writing Algebraic Equations. Students can read questions and pick Equations that will answer the question.
    6. Multimedia Math Glossary
      Outstanding! Gives students a visual along with the definition. Some examples are animated, but all examples have the word and the definition is read to them. Grades K-8
    7. Using Algebra and Discrete Mathematics to Investigate Population Changes in a Trout Pond
      This investigation illustrates the use of iteration, recursion and algebra to model and analyze a changing fish population. Graphs, equations, tables, and technological tools are used to investigate the effect of varying parameters on the long-term population. Students will complete a numerical analysis, a graphical analysis, and a symbolic analysis from the data.
    8. Waldo's Interactive Math
      This interactive sites includes an activity allowing students to manipulate a number line in order to solve equations. Students may choose the difficulty of the equations they wish to solve. Some teacher direction may be needed initially although the directions are clear. This site uses JAVA applets.
  2. A.FO.06.12 Understand that adding or subtracting the same number to both sides of an equation creates a new equation that has the same solution.
    1. Algebra - Fun with Calendars
      A fun mathematical puzzle that shows students a use for algebra. By using a simple linear equation students can determine what four days on a calendar someone has chosen.
    2. California Here We Come!
      This site allows teams of students to choose any state capital on the east coast as their starting point. They travel west stopping at each state capital along the way and record miles traveled. Each student group will create a chart or table showing the number of miles traveled from state capital to state capital and then total numbers of miles driven. Lesson plan, evaluation, extensions, and student activity sheets are included. Skills used will involve solving linear equations and inequalities over the rational numbers, as well as solving multistep problems involving rate, average speed, distance and time, or direct variation. This includes a teacher lesson plan and is a student activity.
    3. Grap Mole Game
      Introduction to Coordinate plane. Learn about the X and Y axis and how to plot points on the graph. Game comes in different levels of difficulty. The game is a good review, students will have fun while learning coordinate plane.
    4. Linear Inequalities
      Manipulate and visualize the solution sets of linear inequalities in slope-intercept form.
    5. Slope Intercept Form
      Interactive tool to experiment with the slope and intercept of a line. See how the slope of a line is calculated.
    6. Using Algebra and Discrete Mathematics to Investigate Population Changes in a Trout Pond
      This investigation illustrates the use of iteration, recursion and algebra to model and analyze a changing fish population. Graphs, equations, tables, and technological tools are used to investigate the effect of varying parameters on the long-term population. Students will complete a numerical analysis, a graphical analysis, and a symbolic analysis from the data.
  3. A.FO.06.13 Understand that multiplying or dividing both sides of an equation by the same non-zero number creates a new equation that has the same solutions.
    1. Algebra Help
      This site gives students a step by step description of description of distributive property, order of operations solving equations, combining like terms, F.O.I.L method, simplifying exponents, and substitution method of solving equations. Students have an opportunity to work on problemns after the short lessons. This site has many different calculators available that will show all work on a problem typed in by the student just like a student would do the work.
    2. E-Lab : Two Step Equations
      Students will apply the additive inverse and multiplicative inverse properties  to solve two-step equations.
    3. Molecular Expressions, Science, Optics, and You
      This site takes you through a step by step lesson to teach powers of 10 and has an interactive applet that allows you to view several things under a micrsoscope!
    4. The Derivation of Pi
      This site contains lesson plans and resources for a student investigation of Pi. Directions are clear, directions for creating student tools for use on a computer are included as well as hyperlinks to other sites containing more information about the history of Pi. Very informativve site and useful site.
    5. The National Science Center
      This site gives a lesson plan for an activity to discover the value of pi. Students will use measuring and averaging, and hopefully discover the value of pi.
  4. A.FO.06.14 Solve equations of the form ax + b = c, e.g., 3x + 8 = 15 by hand for positive
    integer coefficients less than 20, use calculators otherwise, and interpret the results.
    1. Algebra - Fun with Calendars
      A fun mathematical puzzle that shows students a use for algebra. By using a simple linear equation students can determine what four days on a calendar someone has chosen.
    2. California Here We Come!
      This site allows teams of students to choose any state capital on the east coast as their starting point. They travel west stopping at each state capital along the way and record miles traveled. Each student group will create a chart or table showing the number of miles traveled from state capital to state capital and then total numbers of miles driven. Lesson plan, evaluation, extensions, and student activity sheets are included. Skills used will involve solving linear equations and inequalities over the rational numbers, as well as solving multistep problems involving rate, average speed, distance and time, or direct variation. This includes a teacher lesson plan and is a student activity.
    3. Grap Mole Game
      Introduction to Coordinate plane. Learn about the X and Y axis and how to plot points on the graph. Game comes in different levels of difficulty. The game is a good review, students will have fun while learning coordinate plane.
    4. Linear Inequalities
      Manipulate and visualize the solution sets of linear inequalities in slope-intercept form.
    5. Slope Intercept Form
      Interactive tool to experiment with the slope and intercept of a line. See how the slope of a line is calculated.
    6. Using Algebra and Discrete Mathematics to Investigate Population Changes in a Trout Pond
      This investigation illustrates the use of iteration, recursion and algebra to model and analyze a changing fish population. Graphs, equations, tables, and technological tools are used to investigate the effect of varying parameters on the long-term population. Students will complete a numerical analysis, a graphical analysis, and a symbolic analysis from the data.

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