updated 1 September, 2007

Mathematics Grade 7

Number Sense

  • Introduction to exponents and scientific notation with whole numbers
  • Understand square roots
  • Understand the difference between rational and irrational numbers
  • Add, subtract, multiply, divide integers and rational numbers with and without a number line
  • Solve problems using proportional reasoning
    • Fibonacci Numbers & The Golden Section - Fibonacci is known as the greatest European mathematician of the middle ages. These pages explain how and why all of these involve the Fibonacci numbers. Animations showing why nature likes these numbers. One, for example, shows why a seedhead thus constructed is more compact and has mechanical strength, affording a greater ability to withstand whipping winds and torrential downpours.
    • Visualizing huge numbers can be very difficult. People regularly talk about millions of miles, billions of bytes, or trillions of dollars, yet it's still hard to grasp just how much a "billion" really is. The MegaPenny Project aims to help by taking one small everyday item, the U.S. penny, and building on that to answer the question: "What would a billion (or a trillion) pennies look like?"

Measurement

  • Solve problems involving area, surface area, and volume
  • Understand conversion between unit systems and dimensions

Algebra

  • Understand different techniques for solving linear equations with one variable
  • Understand combining like terms
  • Model and solve basic problems on rectangular coordinate system
  • Understand properties of arithmetic sequences (additive)
    • Manipula Math with JAVA This is not your father's arithmetic. Math here is animated in sleek, fast applets that are interactive programs designed to allow students to manipulate things and see a lot of animation; thus helping them grasp the meaning of mathematical ideas. There are already over 200 applets, and new ones are added on a regular basis.
    • Math Tutorials & Practice Divided into practice problems & exercises and games & puzzles, this showcase Homework Central section provides a year's worth of math skill drills, using the latest interactive techniques. There is simple practice for beginners, and much more. The calculus section alone has thirty links.

Geometry

Data and Probability

  • Recognize situations that affect measures of central tendency
  • Know and use graphic organizers including Venn diagrams, stem-leaf, and line plots
  • Use tree diagrams to calculate probability
  • Understand how presentations can obscure the meaning of data
  • Distinguish between theoretical and/or experimental probability through experiments and simulations

    Mathematics Related Web Sites

        • MATHCOUNTS Drills Homepage - The problems can help prepare for MATHCOUNTS competitions. Most problems are adapted from previous MATHCOUNTS competitions and workouts. Drills are scored and the results are displayed with complete solutions. The same kind of problem may come with different parameters every time you create a new test. You can also repeat each test taken with the same problems or with only the missed problems.
        • Math in Daily Life: The Annenberg/CPB Project Exibition. " Human beings didn't invent math concepts; we dicovered them....In this exhibit, you'll look at the language of numbers through common situations, such as playing games or cooking." View Statistics and Polls as you work through the math of a fictious city eletion.
        • Moneyopolis: the Place for Money-Sharp Kids -Teh accounting firm of Ernest & Young based this game on their 5 sept finalcial process: assessment, goal setting, strategy setting, implementation, and review/adjust. As you enter the "town" you'll receive $600. If you can tour all l7 centers, save at least $1000 and earn three community service medallions, you've succeeded!
        • Ask Dr. Math
        • Math WebSite
        • SuperKids math Worksheet Creator - Specify the type of problem, maximum and minimum numbers to be used in the problem, click, and print.  Great resource.
        • The Math Forum Elementary Problem of the Week - Check out the archives.  Because earlier problems and the solutions are followed by a step-by-step description that each team and/or individual used to arrive at the solution, this site would be great for Math Olympiad practice or anyone who knows "there's more than one way to skin a cat.".
        • Math Website; A Learning Site for Middle School Students - Puzzles, problelms, brain teasers...loads of fun!
        • Word Problems for Kids - Gives hints, if wanted, as well as answers, if wanted!  This site is for grades 5-12.
        • The Math Forum Internet Mathematics Library - All kinds of resources from biographies to everything mathematical can be found here....great for research projects.
        • The Math Forum Web Units and Lessons - This is an instructional site and a place where users are encouraged to post their own contributions to online learning.
        • Online Math Applications - investing, music, history, science, trips...much to explore.
        •  A+ Math Comprehensive site covering activites, lessons, homework help, and practice sheets for all grade levels.
        • Math.Com Many math-related materials and resources are included for all grade levels.