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Algebra 2 Honors

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Mind Map on Algebra 2 Honors, created by 16jmehrtens on 21/05/2014.
16jmehrtens
Mind Map by 16jmehrtens, updated more than 1 year ago
16jmehrtens
Created by 16jmehrtens over 11 years ago
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Algebra 2 Honors
  1. Problem solving
    1. modeling
      1. equations
        1. x=y, solid line
          2. inequalities
            1. x<or>y , dotted line, shading
            2. ordered pair(x,y)
          3. Proofs
            1. axioms
                1. statements we presume to be true
                  1. The Substitution principle
                    1. field properties of real numbers
                      1. Properties of equality
                        1. Properties of order
                      2. theorems
                        1. used to prove properties of real numbers
                          1. a statement that can be proved
                          2. logical reasoning from hypothesis to conclusion
                          3. Graphing
                            1. ordered pair (x,y)
                              1. domain and range
                              2. Parent Functions
                                1. Linear functions
                                  1. point-slope form
                                    1. slope-intercept form
                                      1. standard form
                                      2. Quadratic functions
                                        1. factoring
                                          1. factoring shortcuts
                                            2. difference in squares
                                            3. Quadratic Formula
                                              1. projectile motion
                                            4. Cubic functions
                                              1. Square root functions
                                                1. Absolute value functions
                                                  1. Exponential functions
                                                    1. Growth and Decay
                                                      1. Compound interest
                                                        1. Doubling
                                                          1. Half Life
                                                        2. Logarithmic functions
                                                          1. Inverse Funtions
                                                            1. Log is inverse of exponential
                                                              1. "ln" is inverse of "e"
                                                              2. change of base formula
                                                                1. Compound interest formula for continuously compounded interest
                                                                  1. "e"
                                                                2. Trigonometric functions
                                                                  1. sine
                                                                    1. cosine
                                                                    2. Transformations, Reflections, and stretches
                                                                    3. systems
                                                                      1. linear systems
                                                                        1. systems of linear inequalities
                                                                          1. linear programming
                                                                          2. non-linear systems
                                                                          3. Polynomial functions
                                                                            1. end behavior
                                                                              1. solving polynomials by adding, subtracting, and multiplying
                                                                                1. Multiplicity
                                                                                  1. Solving polynomials by Factoring
                                                                                    1. Sum and difference of cubes
                                                                                2. Irrational and Complex Numbers
                                                                                  1. roots and radicals
                                                                                    1. finding roots of negative numbers using "i"
                                                                                      1. powers of "i"
                                                                                    2. probability
                                                                                      1. Fundamental counting priciple
                                                                                        1. Combination
                                                                                          1. Factorial
                                                                                          2. Permutation
                                                                                            2. sample space
                                                                                              1. events
                                                                                                1. Independent
                                                                                                  1. Dependent
                                                                                                    1. intersections and unions
                                                                                                  2. Complement
                                                                                                  3. matrices
                                                                                                    1. Elements
                                                                                                      1. dimensions
                                                                                                        1. rows X Columns
                                                                                                        2. adding and subtracting matrices
                                                                                                          1. Multiplying matrices by a scalar
                                                                                                            1. matrix multiplication
                                                                                                              1. determinents
                                                                                                                1. Inverse matrix
                                                                                                                2. Solving systems of linear equations using matrices

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