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

 

2. Calculation, Algorithms, and Estimation

Students use and justify relationships between lines, angles, area and volume formulas, and 2- and 3-dimensional representations. They solve problems and provide proofs about congruence and similarity.

High School

  1. L2.3 Measurement Units, Calculations, and Scales
    1. Beginning Algebra Tutorials
      This is a beginning algebra web tutorial.  It covers all areas of beginning algebra.  Could be used for students to access on their own or as a teacher presentation. Student and Teacher Resource.
    2. 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.
    3. Diophantice Equations- Cycle 7
      This site contains problems that have integer solutions. It also contains problems dealing with nested square roots.
    4. Edhelper
      Provides teachers with a limited resource of worksheets involving matrix arithmetic.
    5. Elementary Properties of Numbers
      This is an 8 question multiple choice test on the properties of numbers like approximations of fractions, prime numbers, factors, absolute value, and operations with parentheses. The site will evalute each question as you go along if you like and give you a total score at the end. There is more than one correct answer to each question.
    6. Equations
      Tutorial on solving equations.
    7. Factoring Algabraic Expressions
      Tutorial on factoring.
    8. Integer Exponents
      This is an interactive tutorial with exponents.
    9. John and Betty's Journey
      From i to De Moivre's Theorem, this fun book introduces complex numbers in a way that is intuitive and enjoyable for students.
    10. John and Betty's Journey into Complex Numbers.
      This is an online "picture book" for high school students.  It introduces concepts like imaginary numbers, complex numbers, and De Moivre's Theorem.  Interesting!
    11. Learning about Length, Perimeter, Area, and Volume of Similar Objects by Using Interactive Figures
      As students experiment with different ratios of side lengths (different scale factors), they have the opportunity to observe and interpret the changes in the volume and surface-area data. Complete lesson plans, stand-alone applet and discussion topics are included.
    12. Lesson #22 - Rates and Proportions
      This site is a lesson plan. It is not a student activity. However, it is a good lesson plan for teaching ratios and proportions. It includes lesson plans for the teacher, homework worksheets for the students, and sheets for a team competition. Once the students have completed the homework worksheets, the intent is for them to work in teams for the "team competition". This is a great way for kids to practice working together.
    13. Line Up Cards
      After reading the page about what rational and irrational numbers are, a teacher could use the idea of Line Up Cards to get them to order the real numbers. This could be done with or without irrational numbers or a calculator so the students would have to remember the rational approximations of fractions.
    14. Math Magic Cycle 14
      Using addition and subtraction signs the participant needs to find 6 more true equations without changing the order of the numbers.
    15. 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.
    16. Number Properties
      This site describes and gives examples of the three basic properties of operations. Examples for each are given.
    17. Primo Math - Cycle 022
      This site contains eleven review problems to solve. The problems vary in difficulty.
    18. 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.
    19. Radical Expressions
      This is a 10 slide Power Point presentation on radical expressions.  Slides are well done.  Each slide has explanation and then problems to work.  Answers to problems are given on the next slide.  Teacher resource.
    20. Rational and Irrational Numbers
      Students could read through this site to better understand rational and irrational numbers. It describes what they are, gives examples of each, and explains that they are both real numbers. It also gives them practice with the approximations of rational and irrational fractions. It would go well with the site named Line Up Cards from http://regentsprep.org/Regents/math/rational/Tcards.htm.
    21. Ratios and Proprtions-Distance, Rate, and Time
      Outstanding - This is an excellent interactive site that defines ratios and rates and gives plenty of exercises on how to find rates and use proportions to solve problems. Examples of problems are car trips, similar triangles, and other polygons with similar sides. The site includes a true and false quiz at the end.
    22. Smokey the Bear Takes Algebra
      This lesson introduces students to the many factors that play a role in creating a forest-fire danger rating index. To complete the activities related to these indexes, students should be comfortable with linear, quadratic and exponential functions.  Lesson plan with links and worksheets.
    23. SOSMath(Matrix Algebra)
      Informational site consisting of the introduction and basic operations of matrices, matrix multiplication, algebraic properties, complex numbers as matrices, etc.
    24. S.O.S Math: Solving Equations
      This site presents examples and detailed solutions to several types of equations including linear and absolute value equations.
    25. 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.  Many links are included for students and teachers to utilize in the lesson.  Could be student interactive or a teacher resource depending on how the teacher chose to use it.
    26. Virtual Manipulatives- Algebra Balance Scales
      This virtual manipulative allows you to solve simple linear equations through the use of a balance scale.  Student interactive.
    27. 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.
    28. 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.
    29. Your Age on Other Worlds
      There is a converter that compares your age in days and years on earth to that of other planets. It contains many great links including another converter that compares your weight on earth to other planets and moons. It has a good summary of why these differences occur.

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