Expected Prerequisties (concepts and skills)

2017 - 2018 (pch and bc)

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Students should be thoroughly familiar with

• linear functions
  
• quadratic functions
  
  • finding intercepts
    
  • finding vertex
    
  • applications
    
• polynomials (relationship between degree and number of zeros, end behavior)
  

Students should be comfortable with (generally know domain/range/graph of)

• radical function
  
• step functions
  
• absolute value functions
  
• piecewise functions
  
• exponential/log functions
  
• equations and graphs of conics
  
• arithmetic w/complex numbers
  
• sequences (including recursive definitions)
  
• sums (including arithmetic, geometric, squares, cubes)
  

Students should be familiar with

• Right triangle definitions of sin θ, cos θ, tan θ (SohCahToa)
  
• Special triangles (30° - 60° - 90°) and (45° - 45° - 90°)
  

Students should be able to

• factor trinomials (un-FOIL)
  
• factor difference of perfect squares
  
• factor sum/difference of perfect cubes
  
• factor by grouping
  
• simplify expressions using properties/rules of exponents
  
• simplify expressions using properties/rules of logarithms
  
• solve equations involving linear, quadratic, square root, absolute value, rational functions
  
• solve inequalities involving linear, quadratic, polynomial, absolute value, rational functions