I. Patterns, Relationships, and Functions

 
  1. Patterns
  2. Variability and Change

 

Additional Links to General Mathematics Sites

 

1. Pattern

High School

  1. Benchmark 1. "Analyze and generalize mathematical patterns including sequences, series and recursive patterns."
    1. Function Machine - Patterns (I.1.HS.1)
      This is an interactive site.  Students are given part of a function table and asked to figure out the pattern to continue it.
    2. Guru Math-Sequences and Series -Patterns (I.1.HS.1)
      A tutorial consisting of the concepts of seqences and series and their use. Student interaction reinforces the concepts presented.
    3. Series - Patterns (I.1.HS.1)
      In this site students can read about and study arithmetic, geometric, infinite, biniomial, Taylor and species series. At the end, they can take an on-line quiz.
    4. Mission Sequential (Geometric Sequences) - Patterns (I.1.HS.1)
      The Applet requires the user to use general terms of Geometric Sequences to calculate the actual sequences. It does this through the use of a game.
    5. The Million $ Mission - Patterns (I.1.HS.1,2,3&5)
      Students can read story problems about exponential growth and calculate related values. Tables are also provided.
  2. Benchmark 2. "Analyze, interpret and translate among representations of patterns including tables, charts, graphs, matrices and vectors."
    1. Fibonacci Numbers and the Golden Section - Patterns (I.1.HS.2&5)
      Outstanding - Fibonacci: Patterns shown in different areas i.e. Nature, Golden section (art, architecture and music) figures, puzzles. Leads to many hypertext links, and references.
    2. Learning about properties of vectors and vector sums - Patterns  (I.1.HS.2)
      This interactive web site explains properties of vectors and vector sums as well as includes an interactive model for students to work with.  Students manipulate a velocity vector to control the movement of an object in a game-like setting.  Student Interactive.
    3. The Million $ Mission - Patterns (I.1.HS.1,2,3&5)
      Students can read story problems about exponential growth and calculate related values. Tables are also provided.
  3. Benchmark 3. "Study and employ mathematical models of patterns to make inferences, predictions and decisions."
    1. Fibonacci Numbers and Nature - Patterns (I.1.HS.3)
      This site shows many uses of the Fibonacci sequence in nature.
    2. Fractal Folds - Patterns (I.1.HS.3)
      Purpose is to create paper sculptures of fractal shapes by cutting and folding paper. The emphasis will be on making Cantor sets.
    3. Make a Fractal - Patterns (I.1.HS.3&4)
      This site allows a student to design their own fractal by changing colors and patterns within it. Student designed fracts can be saved in poster form. It also describes how fractals are generated, and has many links to other sites about fractals.
    4. Sieve of Eratosthenes - Patterns (I.1.HS.3,4&5)
      Students explore an interactive Sieve of Eratosthenes to predict what numbers are factors of one another and make predictions based on patterns that develop. Worksheets, lesson plans and other teacher resources are available.
    5. The Million $ Mission - Patterns (I.1.HS.1,2,3&5)
      Students can read story problems about exponential growth and calculate related values. Tables are also provided.
  4. Benchmark 4. "Explore patterns (graphic, numeric, etc.) characteristic of families of functions; explore structural patterns within systems of objects, operations or relations."
    1. AS Guru Maths: Parallel and Perpendicular - Patterns (I.1.HS.4)
      This site provides the student with information about the slopes of parallel and perpendicular lines and their equations. Included is a tutorial as well as interactive exercise.
    2. Exploring Linear Functions - Patterns (I.1.HS.4)
      This is a student activity that allows the student to explore how changes in the slope and y-intercept affect a linear graph. Also, what the effect would be if they are changed separately or simultaneously.
    3. Make a Fractal - Patterns (I.1.HS.3&4)
      This site allows a student to design their own fractal by changing colors and patterns within it. Student designed fracts can be saved in poster form. It also describes how fractals are generated, and has many links to other sites about fractals.
    4. Sieve of Eratosthenes - Patterns (I.1.HS.3,4&5)
      Students explore an interactive Sieve of Eratosthenes to predict what numbers are factors of one another and make predictions based on patterns that develop. Worksheets, lesson plans and other teacher resources are available.
  5. Benchmark 5. "Use patterns and reasoning to solve problems and explore new content."
    1. Fibonacci Numbers and the Golden Section - Patterns (I.1.HS.2&5)
      Outstanding - Fibonacci: Patterns shown in different areas i.e. Nature, Golden section (art, architecture and music) figures, puzzles. Leads to many hypertext links, and references.
    2. Sieve of Eratosthenes - Patterns (I.1.HS.3,4&5)
      Students explore an interactive Sieve of Eratosthenes to predict what numbers are factors of one another and make predictions based on patterns that develop. Worksheets, lesson plans and other teacher resources are available.
    3. The Million $ Mission - Patterns (I.1.HS.1,2,3&5)
      Students can read story problems about exponential growth and calculate related values. Tables are also provided.

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