Regional Center

 

 

IV. Number Sense and Numeration

 

  1. Concepts and Properties of Numbers
  2. Representation and Uses of Numbers
  3. Number Relationship

 

Additional Links to General Mathematics Sites

 

1. Concepts and Properties of Numbers

High School

  1. Benchmark 1. "Develop an understanding of irrational, real and complex numbers."
    1. Numbers Beyond Reason - Concepts and Properties of Numbers (IV.1.HS.1)
      Lesson plan used to develop an understanding of irrational numbers with student activities and handout included.
    2. Real Numbers - Concepts and Properties of Numbers (IV.1.HS.1)
      This is an interactive tutorial with real numbers.
  2. Benchmark 2. "Use the (a+bi) and polar forms of complex numbers."
    1. Cosmic Zoom - Concepts and Properties of Numbers (IV.1.HS.2)
      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.
  3. Benchmark 3. "Develop an understanding of the properties of the real and complex number systems and of the properties of special numbers including ?, i, e, and conjugates."
    1. Buffon's Needle - Concepts and Properties of Numbers (IV.1.HS.3)
      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. Dave's Short Course on Complex Numbers - Concepts and Properties of Numbers (IV.1.HS.3)
      A tutorial into the world of complex numbers.
    3. Introduction to Numbers - Concepts and Properties of Numbers (IV.1.HS.3)
      This site provides an overview of the entire number system- real, rational, irrational, transcendental, imaginary, integers, squares and sums.
    4. John and Betty's Journey Into Complex Numbers - Concepts and Properties of Numbers (IV.1.HS.3)
      An online story of complex numbers will keep kids engaged as they learn the concept of imaginary and real number parts.
    5. NOVA: Infinite Secrets: Approximating Pi - Concepts and Properties of Numbers (IV.1.HS.3)
      Students will explore the number pi by increasing the number of inscribed polygons using an interactive applet.
    6. Purple Math- Complex Numbers - Concepts and Properties of Numbers (IV.1.HS.3)
      A tutorial site for complex numbers including basic operations and graphing.
    7. The Case of the Missing Negative - Concepts and Properties of Numbers (IV.1.HS.3)
      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.
    8. Understanding Pi - Concepts and Properties of Numbers (IV.1.HS.3)
      A lesson plan that includes internet links for the students to investigate with respect to fostering their understanding of pi.
  4. Benchmark 4. "Apply their understanding of number systems to model, and solve mathematical and applied problems."

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