2. Geometry (HS)

 
  1. Reasoning About Numbers, Systems and Quantitative Situations (L1)
  2. Calculation, Algorithms, and Estimation (L2)
  3. Mathematical Reasoning, Logic, and Proof (L3)
  4. Figures and Their Properties (G1)
  5. Relationships Between Figures (G2)
  6. Transformations of Figures in the Plane (G3)

 

Additional Links to General Mathematics Sites

 

1. Reasoning About Numbers, Systems and Quantitative Situations (L1)

High School

  1. L1.1 Number Systems and Number Sense
    1. Buffon's Needle
      Buffon's Needle is one of the oldest problems in the field of geometrical probability. It was first stated in 1777. It involves dropping a needle on a lined sheet of paper and determining the probability of the needle crossing one of the lines on the page. The remarkable result is that the probability is directly related to the value of pi.
    2. Calculating Pi
      This is an activity where students understand the origin of Pi by measuring different sized cylinders in everyday life to find their area and circumference. Therefore seeing Pi's role in circle relationships..
    3. Cosmic Zoom
      Outstanding! This site starts with a picture of a square meter and "zooms" you out by powers of ten to get a sense of what the base ten system represents.
    4. Dave's Short Course on Complex Numbers
      A tutorial into the world of complex numbers.
    5. Introduction to Numbers
      This site provides an overview of the entire number system- real, rational, irrational, transcendental, imaginary, integers, squares and sums.
    6. John and Betty's Journey Into Complex Numbers
      An online story of complex numbers will keep kids engaged as they learn the concept of imaginary and real number parts.
    7. Math is Fun New
      Very easy to understand explanation of irrational numbers. Many other topics available on this site.
    8. NOVA: Infinite Secrets: Approximating Pi
      Students will explore the number pi by increasing the number of inscribed polygons using an interactive applet.
    9. Numbers Beyond Reason
      Lesson plan used to develop an understanding of irrational numbers with student activities and handout included.
    10. Purple Math- Complex Numbers
      A tutorial site for complex numbers including basic operations and graphing.
    11. Real Numbers
      This is an interactive tutorial with real numbers.
    12. The Case of the Missing Negative
      A lesson plan for introducing concepts of complex numbers. Students are asked to solve the mystery of the missing negative and are guided through internet activities to help them with their case! Links and details provided.
    13. Understanding Pi
      A lesson plan that includes internet links for the students to investigate with respect to fostering their understanding of pi.
  2. L1.2 Representations and Relationships
    1. About e= 2.711828
      This site contains a definition of and methods to find E..
    2. Buffon's Needle
      This site is a Java Applet which uses a simple Monte Carlo method, called Buffon's Needle, for the estimation of the value of pi, 3.14159265... This activity is very brief, but very simple to do. Would require a bit of teacher direction for the students to understand why or how it works. This is a student activity.
    3. Components of a Vector
      Outstanding - This is an interactive student site where students can read about vectors then try to manipulate a vector. Students will see what happens as they change the length, direction, and position of the vector. Discussion questions follow.
    4. Edhelper
      Provides teachers with a limited resource of worksheets involving matrix arithmetic.
    5. Exponential Fit - The M&M Activity
      This is a lesson plan for using M&M's or Skittles to give data for making a graph. The graph should form an exponential curve. The site includes a spreadsheet that students can download and use to record data. They can make graphs and find logs with the spreadsheet also.
    6. Factoring Algabraic Expressions
      Tutorial on factoring.
    7. Fermi Problems of Estimation
      This site is a good resource of 5 interesting problems involving estimation of complex situations. The page also includes some facts for fun like the velocity of hair growth and the mass of delivered junk mail in the U.S. It is labeled AP Physics, so if it is used in a mathematics class, the teacher may have to provide some background information.
    8. Frontier Math New
      This website offers a graphing vectors calculator that allows students to add and subtract vectors graphically and the calculator shows the work that is done algebraically to find the sum or difference.
    9. I Want a Credit Card--Or Do I?
      Students can research interest rates on various credit cards. They calculate the interest based on how much they pay and how long it takes to pay off the credit card. They can also make graphs to show how much they paid in interest compared to the principle. Hopefully they will learn some credit management techniques.
    10. Learning About Properties of Vectors and Vector Sums
      Outstanding - This is a student interactive game using either a car or airplane with vectors to control its direction and speed. Students are able to see vectors have two components, magnitude and direction.
    11. Mathletics
      This is an interactive site for students.  It describes one way math is used in each of four sports; baseball, basketball, bowling, and football.  Calcuations are described for the students and then they are provided with examples to test themselves.
    12. Math Magic Cycle 18
      Using addition, subtraction, multiplication, division, exponents, factors, square roots, and parentheses, the participants develop a 31 day calendar using the numbers 1 9 9 2 in a locked position within their equation. This file is a download.
    13. Million Dollar Giveaway
      This site is a good resource of a worksheet activity that kids can do to work on their estimation skills. They must estimate how many one dollar bills can fit in a certain suitcase, how many suitcases it would take to hold $1,000,000 worth of one dollar bills, and how much a certain number of one dollar bills would weigh. This is a PDF download.
    14. Pi
      This site contains a definition of and methods to find Pi. Pi = 3.14159
    15. QuickMath
      Matrices: This section of QuickMath allows you to perform arithmetic operations on matrices. Currently you can add or subtract matrices, multiply two matrices, multiply a matrix by a scalar and raise a matrix to any power.
    16. Secret Worlds: The Universe Within
      Outstanding! A Java applet demonstrates poweres of 10 from the Milky Way to subatomic particles. An awesome video that students and teachers will find amazing!
    17. SOSMath(Matrix Algebra)
      Informational site consisting of the introduction and basic operations of matrices, matrix multiplication, algebraic properties, complex numbers as matrices, etc.
    18. Virtual Manipulatives- Algebra Balance Scales
      This virtual manipulative allows you to solve simple linear equations through the use of a balance scale.  Student interactive.
    19. Virtual Manipulatives- Function Machine
      Students drag a number to the function machine and observe the output.  After viewing four,  students then need to determine the function and output of more problems.  Student interactive.
    20. WebMathematica (Step by step matrix algebra)
      Allows one to input matrices and choose a selected operation to compute. Deals with arithmetic of matrices, powers of a matrix, matrix products, transpose of a matrix, etc.
    21. What are we listening to?
      Students gather data from a web site on the number of music albums sold by genre for the last two years. They convert these figures to fractions, decimals, and percents. They then display the results in bar graphs (using the raw data) and pie charts (using percents and degrees). Finally, they answer questions about their graphs.  Includes Teacher Lesson Plan with links.

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