Class 20, November 10, 2015 Lessons 3.6 & 3.7

 By the end of this lesson, you should understand that: ◦ Addition and subtraction are inverse operations ◦ Multiplication and division are inverse operations ◦ Solving for a variable includes isolating it by “undoing” the actions to it

 By the end of this lesson, you should be able to: ◦ Solve for a variable in a linear equation ◦ Explicitly write out the order of operations to evaluate a given expression

 Main idea: ◦ Solving equations is based on the principle of undoing operations (and steps) and balancing each operation

 By the end of this lesson, you should understand: ◦ Proportional relationships are based on a constant ratio ◦ Rules for solving equations can be applied in unfamiliar situations

 By the end of this lesson, you should be able to: ◦ Set up a proportion based on a contextual situation ◦ Solve a proportion using algebraic methods

 Main idea: ◦ Proportionality preserves the ratio between values  Main idea: ◦ Mathematical rules are consistent: foundational rules for solving equations can be used on any equation