• This course addresses content from the Minnesota State Math Standards and Benchmarks for grade 6.  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.


    Middle School PreAlgebra Trimester 2 Content

    Unit 4 - Fractions, Decimals, and Percents

    •  Compare positive rational numbers represented in various forms.  Use the symbols <, = and >.
    •  Understand that percent represents parts out of 100 and ratios to 100.
    •  Determine equivalences among fractions, decimals and percents; select among these representations to solve problems.
    •  Convert between equivalent representations of positive rational numbers.

    Unit 5 -  Ratios, Rates, Reasoning, and Relationships

    •  Identify and use ratios to compare quantities; understand that comparing quantities using ratios is not the same as comparing quantities using subtraction.
    •  Apply the relationship between ratios, equivalent fractions to solve problems in various contexts, including those involving mixtures and concentrations.
    •  Determine the rate for ratios of quantities with different units.
    •  Use reasoning about multiplication and division to solve ratio and rate problems.
    •  Solve problems in various contexts involving conversion of weights, capacities, geometric measurements and times within measurement systems using appropriate units.
    •  Estimate weights, capacities and geometric measurements using benchmarks in measurement systems with appropriate units.

    Unit 6 -  Percents

    •  Calculate the percent of a number and determine what percent one number is of another number to solve problems in various contexts.

    Unit 7 -  Algebraic Reasoning

    •  Understand that a variable can be used to represent a quantity that can change, often in relationship to another changing quantity.  Use variables in various contexts.
    •  Represent real-world or mathematical situations using equations and inequalities involving variables and positive rational numbers.
    •  Solve equations involving positive rational numbers using number sense, properties of arithmetic and the idea of maintaining equality on both sides of the equation.  Interpret a solution in the original context and assess the reasonableness of results.