• This course addresses content from the Minnesota State Math Standards and Benchmarks for grade 7.  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 PreAlgebra Trimester 1 Content

    Unit 1 - Integers and Exponents

    • 7.1.1.3  Locate positive and negative rational numbers on a number line, understand the concept of opposites, and plot pairs of positive and negative rational numbers on a coordinate grid.
    • 7.1.1.4  Compare positive and negative rational numbers expressed invarious forms using the symbols < , > , = , , .
    • 7.1.2.1  Add, subtract, multiply and divide positive and negative rational numbers that are integers, fractions and terminating decimals; use efficient and generalizable procedures, including standard algorithms; raise positive rational numbers to whole-number exponents.
    • 7.1.2.2  Use real-world contexts and the inverse relationship between addition and subtraction to explain why the procedures of arithmetic with negative rational numbers make sense.
    • 7.1.2.4  Solve Problems with Rational Numbers Including Positive Integer Exponents.  Solve problems in various contexts involving calculations with positive and negative rational numbers and positive integer exponents, including computing simple and compound interest.
    • 7.1.2.6  Determine greatest common factors and least common multiples.  Use common factors and common multiples to calculate with fractions and find equivalent fractions.

    Unit 2 -  Representations of Rational Numbers

    • 7.1.1.1  Know that every rational number can be written as the ratio of two integers or as a terminating or repeating decimal. Recognize that π is not rational, but that it can be approximated by rational numbers such as 227 and 3.14.
    • 7.1.1.2  Understand that division of two integers will always result in a rational number. Use this information to interpret the decimal result of a division problem when using a calculator.
    • 7.1.1.3  Locate positive and negative rational numbers on a number line, understand the concept of opposites, and plot pairs of positive and negative rational numbers on a coordinate grid.
    • 7.1.1.4  Compare positive and negative rational numbers expressed in various forms using the symbols <, >, =, <, > .
    • 7.1.1.5  Recognize and generate equivalent representations of positive and negative rational numbers, including equivalent fractions.
    • 7.1.2.6  Demonstrate an understanding of the relationship between the absolute value of a rational number and distance on a number line. Use the symbol for absolute value.

    Unit 3 -  Operating and Problem Solving with Rational Numbers

    • 7.1.2.1  Add, subtract, multiply and divide positive and negative rational numbers that are integers, fractions, and terminating decimals; use effiecient and generalizable procedures, including standard algorithms; raise positive rational numbers to whole-number exponents.
    • 7.1.2.3  Understand that calculators and other computing technologies often truncate or round numbers.
    • 7.1.2.4  Solve problems in various contexts involving calculations with positive and negative rational numbers and positive integer exponents, including computing simple and compound interest.