Algebra II Semester Two
District Assessment Connection for South Dakota Core StandardsAlgebra
Indicator A-1: Use procedures to transform algebraic expressions.
|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.
|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.
|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
• 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|
Indicator 2: Apply number operations with real numbers and other number systems.
|11N2-01. Add, subtract, multiply, and divide real numbers including rational exponents.
• Simplify numeric expressions with radicals
TOTAL QUESTIONS = 45 questions