• 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 1 Content

Unit 1 - Rational Numbers

• 6.1.1.5  Factor whole numbers; express a whole number as a product of prime factors with exponents.
• 6.1.1.6  Determine greatest common factors and least common multiples.  Use common factors and common multiples to calculate with fractions and find equivalent fractions.
• 6.2.2.1  Apply the associative, commutative and distributive properties and order of operations to generate equivalent expressions and to solve problems involving positive rational numbers.

Unit 2 -  Fraction Operations

• 6.1.1.1  Locate positive rational numbers on a number line and plot pairs of positive rational numbers on a coordinate grid.
• 6.1.1.6  Determine greatest common factors and least common multiples.  Use common factors and common multiples to calculate with fractions and find equivalent fractions.
• 6.1.1.7  Convert between equivalent representations of positive rational numbers.
• 6.1.3.1  Multiply and divide decimals and fractions, using efficient and generalizable procedures, including standard algorithms.
• 6.1.3.2  Use the meanings of fractions, multiplication, division and the inverse relationship between multiplication and division to make sense of procedures for multiplying and dividing fractions
• 6.1.3.4  Solve real-world and mathematical problems requiring arithmetic with decimals, fractions, and mixed numbers.
• 6.1.3.5  Estimate solutions to problems with whole numbers, fractions, and decimals and use the estimates to assess the reasonableness of results in the context of the problem.

Unit 3 -  Decimal Operations

• 6.1.1.1  Locate positive rational numbers on a number line and plot pairs of positive rational numbers on a coordinate grid.
• 6.1.3.1  Multiply and divide decimals and fractions, using efficient and generalizable procedures, including standard algorithms.
• 6.1.3.4  Solve real-world and mathematical problems requiring arithmetic with decimals, fractions, and mixed numbers.
• 6.1.3.5  Estimate solutions to problems with whole numbers, fractions, and decimals and use the estimates to assess the reasonableness of results in the context of the problem.