V. Numerical and Algebraic Operations & Analytical Thinking
  1. Operations and Their Properties
  2. Algebratic and Analytical Thinking

 

Additional Links to General Mathematics Sites

 

1. Operations and their Properties

High School

  1. Benchmark 1. "Present and explain geometric and symbolic models for operations with real and complex numbers and algebraic expressions."
    1. John and Betty's Journey - Operations and their Properties (V.1.HS.1)
      From i to De Moivre's Theorem, this fun book introduces complex numbers in a way that is intuitive and enjoyable for students.
    2. SOSMath(Matrix Algebra) - Operations and their Properties (V.1.HS.1,2,3&4)
      Informational site consisting of the introduction and basic operations of matrices, matrix multiplication, algebraic properties, complex numbers as matrices, etc.
    3. S.O.S Math: Solving Equations - Operations and their Properties (V.1.HS.1) New
      This site presents examples and detailed solutions to several types of equations including linear and absolute value equations.
  2. Benchmark 2. "Compute with real numbers, complex numbers, algebraic expressions, matrices and vectors using technology and, for simple instances, with paper-and-pencil algorithms."
    1. Components of a Vector - Operations and their Properties (V.1.HS.2)
      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.
    2. Edhelper - Operations and their Properties (V.1.HS.2,3&4)
      Provides teachers with a limited resource of worksheets involving matrix arithmetic.
    3. Factoring Algabraic Expressions - Operations and their Properties (V.1.HS.2)
      Tutorial on factoring.
    4. Mathletics - Operations and their Properties  (V.1.HS.2)
      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.
    5. QuickMath - Operations and their Properties (V.1.HS.2,3&4)
      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.
    6. SOSMath(Matrix Algebra) - Operations and their Properties (V.1.HS.1,2,3&4)
      Informational site consisting of the introduction and basic operations of matrices, matrix multiplication, algebraic properties, complex numbers as matrices, etc.
    7. Virtual Manipulatives- Algebra Balance Scales - Operations and their Properties  (V.1.HS.2)
      This virtual manipulative allows you to solve simple linear equations through the use of a balance scale.  Student interactive.
    8. Virtual Manipulatives- Function Machine - Operations and their Properties  (V.1.HS.2)
      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.
    9. WebMathematica (Step by step matrix algebra) - Operations and their Properties (V.1.HS.2,3&4)
      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.
  3. Benchmark 3. "Describe the properties of operations with rationals and integers (e.g., closure; associative, commutative and distributive properties) and give examples of how they use those properties."
    1. Associative and Distributive Property - Operations and their Properties (V.1.HS.3)
      This is a good interactive site where the student can get additional instruction on the associative and distributive properties of numbers. They can see many examples worked out and checked for them. There are also extra printable worksheets with around 12 problems. The students can also get the answer key to the worksheets.
    2. Edhelper - Operations and their Properties (V.1.HS.2,3&4)
      Provides teachers with a limited resource of worksheets involving matrix arithmetic.
    3. Integer Exponents - Operations and their Properties (V.1.HS.3)
      This is an interactive tutorial with exponents.
    4. John and Betty's Journey into Complex Numbers. - Operations and their Properties  (V.1.HS.3)
      This is an online "picture book" for high school students.  It introduces concepts like imaginary numbers, complex numbers, and De Moivre's Theorem.  Interesting!
    5. Number Properties - Operations and their Properties (V.1.HS.3)
      This site describes and gives examples of the three basic properties of operations. Examples for each are given.
    6. QuickMath - Operations and their Properties (V.1.HS.2,3&4)
      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.
    7. SOSMath(Matrix Algebra) - Operations and their Properties (V.1.HS.1,2,3&4)
      Informational site consisting of the introduction and basic operations of matrices, matrix multiplication, algebraic properties, complex numbers as matrices, etc
    8. WebMathematica (Step by step matrix algebra) - Operations and their Properties (V.1.HS.2,3&4)
      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.
  4. Benchmark 4. "Efficiently and accurately apply operations with integers, rational numbers and simple algebraic expressions in solving problems."
    1. Beginning Algebra Tutorials - Operations and their Properties  (V.1.HS.4)
      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. Edhelper - Operations and their Properties (V.1.HS.2,3&4)
      Provides teachers with a limited resource of worksheets involving matrix arithmetic.
    3. Equations - Operations and their Properties (V.1.HS.4)
      Tutorial on solving equations.
    4. QuickMath - Operations and their Properties (V.1.HS.2,3&4)
      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.
    5. SOSMath(Matrix Algebra) - Operations and their Properties (V.1.HS.1,2,3&4)
      Informational site consisting of the introduction and basic operations of matrices, matrix multiplication, algebraic properties, complex numbers as matrices, etc.
    6. WebMathematica (Step by step matrix algebra) - Operations and their Properties (V.1.HS.2,3&4)
      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.

| Back | Next |