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Accelerated Precalculus Semester Two

District Assessment Connection for South Dakota Core Standards


Indicator A-2: Use a variety of algebraic concepts and methods to solve equations and inequalities.
Standards Test Questions
11A2-01. Determine solutions of quadratic equations. 8, 9, 10, 11, 14, 15

Indicator A-3: Interpret and develop mathematical models.
Standards Test Questions
11A3-03. Use sequences and series to model patterns. 35, 36, 37, 38, 39, 40, 41

Indicator A-4: Describe and use properties and behaviors of relations, functions, and inverses.
Standards Test Questions
11A4-04. Apply properties and definitions of trigonometric, exponential and logarithmic expressions.
  • Ex. (1-cos2x)/tan2x
  • Ex. log2(1/8)
  • Ex. eln(e)
 1, 2, 3, 4, 5, 6, 7, 12, 13
DDA4-01. Apply properties and definitions of vectors. 16, 17, 18, 19, 20, 21, 22
DDA4-02. Apply properties of polar coordinate system. 23, 24, 25, 26
11A4-05. Describe characteristics of nonlinear functions and relations.
  • Conic sections
  Example: Find the vertex, focus, axis of symmetry and directrix for the graph of  
  the elipse
  • Trigonometric functions
  Example: Find the period, amplitude, vertical and horizontal shift of y = 3sin(2x +
  pi/3)-2
  • Exponential and logarithmic functions
  Example: Write y = 32x in a logarithm form.
  Example: Determine domain and range of y = 32x and y = ln(5x + 1)		  42, 43,44, 45, 46, 47, 48, 49, 50, 51, 52

Indicator Indicator N-1: Analyze the structural characteristics of the real number system and its various subsystems. Analyze the concept of value, magnitude, and relative magnitude of real numbers.
Standards Test Questions
11N1-01. Describe the relationship of the real number system to the complex number system. 27, 28, 29

Indicator S2: Apply the concepts of probability to predict events/outcomes and solve problems.
Standards Test Questions
11S2-01. Use probabilities to solve problems. 30, 31, 32, 33, 34

TOTAL QUESTIONS = 52 questions