• This course addresses content from the Minnesota State Math Standards and Benchmarks for the high school algebra strand.  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 1 - Linear inequalities and systems of linear inequalities

    • 9.2.2.1  Represent and solve problems in various contexts using linear and quadratic functions.
    • 9.2.2.3  Sketch graphs of linear, quadratic and exponential functions, and translate between graphs, tables, and symbolic representations. Know how to use graphing technology to graph these functions.
    • 9.2.4.4  Represent relationships in various contexts using systems of linear inequalities; solve them graphically. Indicate which parts of the boundary are included in and excluded from the solution set using solid and dotted lines.
    • 9.2.4.5  Solve linear programming problems in two variables using graphical methods.

     

    Unit 2 - Functions

    • 9.2.1.1  Understand the definition of a function. Use functional notation and evaluate a function at a given point in its domain.
    • 9.2.1.2  Distinguish between functions and other relations defined symbolically, graphically or in tabular form.
    • 9.2.1.3  Find the domain of a function defined symbolically, graphically or in a real-world context.
    • 9.2.1.4  Obtain information and draw conclusions from graphs of functions and other relations.
    • 9.2.1.5  Identify the vertex, line of symmetry and intercepts of the parabola corresponding to a quadratic function, using symbolic and graphical methods when the function is expressed in the form:
                        f(x)=ax²+bx+c, in the form f(x)=a(x-h)²+k, or in factored form.
    • 9.2.1.6  Identify intercepts, zeros, maxima, minima, and intervals of increase and decrease from the graph of a function.
    • 9.2.1.7  Understand the concept of an asymptote and identify asymptotes for exponential functions and reciprocals of linear functions, using symbolic and graphical methods.  
    • 9.2.1.8  Make qualitative statements about the rate of change of a function, based on its graph or table of values.

     

    Unit 3 - Exponential 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.
    • 9.2.1.7  Understand the concept of an asymptote and identify asymptotes for exponential functions and reciprocals of linear functions, using symbolic and graphical methods.
    • 9.2.2.2  Represent and solve problems in various contexts using exponential functions, such as investment growth, depreciation, and population growth.
    • 9.2.2.3  Sketch graphs of linear, quadratic and exponential functions, and translate between graphs, tables, and symbolic representations. Know how to use graphing technology to graph these functions.
    • 9.2.4.2  Represent relationships in various contexts using equations involving exponential functions; solve these equations graphically or numerically. Know how to use calculators, graphing utilities or other technology to solve these equations.