• 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 2 Content

Unit 4 - Order of Operations, Expressions and Equations

• 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.
• 7.2.2.4  Represent real-world or mathematical situations using equations and inequalities involving variables and positive and negative rational numbers.
• 7.2.3.1  Use properties of algebra to generate equivalent numerical and algebraic expressions containing rational numbers, grouping symbols and whole number exponents. Properties of algebra include associative, commutative and distributive laws.
• 7.2.3.2  Evaluate algebraic expressions containing rational numbers and whole number exponents at specified values of their variables.
• 7.2.3.3  Apply understanding of order of operations and grouping symbols when using calculators and other technologies.
• 7.2.4.1  Represent relationships in various contexts with equations involving variables and positive and negative rational numbers. Use the properties of equality to solve for the value of a variable. Interpret the solution in the original context.

Unit 5 -  Proportional Reasoning

• 7.1.2.5  Use proportional reasoning to solve problems involving ratios in various contexts.
• 7.2.2.1  Represent Proportional Relationships: Represent proportional relationships with tables, verbal descriptions, symbols, equations and graphs; translate from one representation to another. Determine the unit rate (constant of proportionality or slope) given any of these representations.
• 7.2.2.2  Problems involving Proportional Relationships: Solve multi-step problems involving proportional relationships in numerous contexts.
• 7.2.2.3  Proportions & Reasonableness: Use knowledge of proportions to assess the reasonableness of solutions.

Unit 6 -  Algebraic Proportional Reasoning

• 7.2.1.1  Understand that a relationship between two variables, x and y, is proportional if it can be expressed in the form y/x = k or y = kx. Distinguish proportional relationships from other relationships, including inversely proportional relationships (xy = k or y = k/x).
• 7.2.1.2  Understand that the graph of a proportional relationship is a line through the origin whose slope is the unit rate (constant of proportionality). Know how to use graphing technology to examine what happens to a line when the unit rate is changed.
• 7.2.2.1  Represent proportional relationships with tables, verbal descriptions, symbols, equations and graphs; translate from one representation to another. Determine the unit rate (constant of proportionality or slope) given any of these representations.
• 7.2.2.2  Solve multi-step problems involving proportional relationships in numerous contexts.
• 7.2.2.3  Use knowledge of proportions to assess the reasonableness of solutions.
• 7.2.4.2  Solve equations resulting from proportional relationships in various contexts.