# District Assessment Connection for South Dakota Core Standards

Algebra
Indicator A-1: Use procedures to transform algebraic expressions.
 Standards Test Questions 11A1-01. Write equivalent forms of rational algebraic expressions using properties of real numbers.   Example: (X + 2) / (X2 - 4) 11, 18, 20, 21, 22, 23, 34, 35, 36, 37

Indicator A-3: Interpret and develop mathematical models.
 Standards Test Questions 11A3-01. Distinguish between linear, quadratic, inverse (y = k / x), and exponential models.   Example: Know the difference between    y = mx+b, y = ax2+ bx + c, y = k / x and y = abx 14, 24, 25, 27, 38 11A3-02. Create formulas representing patterns that are algebraic, geometric, trigonometric, and exponential. 31, 32, 33

Indicator Indicator A-4: Describe and use properties and behaviors of relations, functions, and inverses.
 Standards Test Questions 11A4-01. Determine the domain, range, and intercepts of a function.    Example: Determine that the domain of f(x) = (x - 2) / x 2, 5, 6, 16, 17, 19, 26 11A4-02. Describe the behavior of a polynomial, given the leading coefficient, roots, and degree. Example: Given a 3rd degree polynomial with a double root at x=-2, a root at x=3         and a positive coefficient on the term of highest degree, describe/sketch the graph without a graphing tool. 1, 12, 13, 15 11A4-04. Apply properties and definitions of trigonometric, exponential and logarithmic expressions. 7, 8, 9, 10, 30 11A4-05. Describe characteristics of nonlinear functions and relations.    • Conic sections   Example: Find the vertex, focus, axis of symmetry and directrix for the graph     ellipse    • Trigonometric functions   Example: Find the period, amplitude, vertical & 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) 28, 29, 39, 40, 41, 42, 43, 44, 45

Number Sense
Indicator 2: Apply number operations with real numbers and other number systems.
 Standards Test Questions 11N2-01. Add, subtract, multiply, and divide real numbers including rational exponents.   •  Simplify numeric expressions with radicals 3, 4

TOTAL QUESTIONS = 45 questions