• This course addresses content from the Minnesota State Math Standards and Benchmarks.  Each standard or benchmark is identified by a set of numbers, as shown below.  Some benchmarks may be addressed in more than one unit, so the benchmark number will appear more than once.  Support resources for each standard or benchmark can be found by clicking on the benchmark number to navigate to that respective page.

     

    Intermediate Algebra - Trimester A Content

    Unit 6 - Polynomial functions

    • 9.2.1.3  Find the domain of a function defined symbolically, graphically or in a real-world context.
    • 9.2.1.6  Identify intercepts, zeros, maxima, minima, and intervals of increase and decrease from the graph of a function.
    • 9.2.2.6  Sketch the graphs of common non-linear functions such as f(x) = sqrt(x), f(x) = |x|, f(x) = 1/x, f(x) = x³, and translations of these functions, such as f(x) = sqrt(x-2) + 4. Know how to use graphing technology to graph these functions.
    • 9.2.3.2  Add, subtract and multiply polynomials; divide a polynomial by a polynomial of equal or lower degree.

     

    Unit 7 - Root functions and radical equations

    • 9.2.1.3  Find the domain of a function defined symbolically, graphically or in a real-world context.
    • 9.2.1.6  Identify intercepts, zeros, maxima, minima, and intervals of increase and decrease from the graph of a function.
    • 9.2.2.6  Sketch the graphs of common non-linear functions such as f(x) = sqrt(x), f(x) = |x|, f(x) = 1/x, f(x) = x³, and translations of these functions, such as f(x) = sqrt(x-2) + 4. Know how to use graphing technology to graph these functions.
    • 9.2.3.1  Evaluate polynomial and rational expressions and expressions containing radicals and absolute values at specified points in their domains.
    • 9.2.3.6  Apply the properties of positive and negative rational exponents to generate equivalent algebraic expressions, including those involving nth roots.
    • 9.2.3.7  Justify steps in generating equivalent expressions by identifying the properties used. Use substitution to check the equality of expressions for some particular values of the variables; recognize that checking with substitution does not guarantee equality of expressions for all values of the variables.
    • 9.2.4.7  Solve equations that contain radical expressions. Recognize that extraneous solutions may arise when using symbolic methods.
    • 9.2.4.8  Assess the reasonableness of a solution in its given context and compare the solution to appropriate graphical or numerical estimates; interpret a solution in the original context.

     

    Unit 8 - Absolute value functions

    • 9.2.1.3  Find the domain of a function defined symbolically, graphically or in a real-world context.
    • 9.2.1.6  Identify intercepts, zeros, maxima, minima, and intervals of increase and decrease from the graph of a function.