Learning Outcomes/Goals: Student will distinguish between an algebraic expression and equation Student will translate verbal phrases to algebraic expressions and equations Students will solve equations in one variable including fractional expressions Students will solve word problems requiring writing and solving equations Students will solve literal equations for a given variable Enduring Understandings: Essential Questions: We will understand… Why do we use equations to solve An equation represents two quantities that problems? are equal and can be used as a tool to find Why do you perform operations on both an unknown value sides of an equation? How is thinking algebraically different from thinking arithmetically? Algebraic expressions and equations How do the properties contribute to generalize relationships from specific cases algebraic understanding? Knowledge Skills We will know… We will be able to… Properties: Commutative, Inverse, Perform operations to both sides Associative, Distributive, Identity of Addition and Multiplication Using a graphing calculator Preservation of Equality Identify the similarities and differences between solving equations and Integer rules inequalities Difference between equation and Graph the solution of an inequality on a expression number line How to solve and check multi-step linear equations and inequalities How to represent situations algebraically
Learning Outcomes/Goals: Student will distinguish between an algebraic expression and equation Student will translate verbal phrases to algebraic expressions and equations Students will solve equations in one variable including fractional expressions Students will solve word problems requiring writing and solving equations Students will solve literal equations for a given variable Enduring Understandings: We will understand… An equation represents two quantities that are equal and can be used as a tool to find an unknown value Algebraic expressions and equations generalize relationships from specific cases Essential Questions: Why do we use equations to solve problems? Why do you perform operations on both sides of an equation? How is thinking algebraically different from thinking arithmetically? How do the properties contribute to algebraic understanding? Knowledge We will know… Properties: Commutative, Inverse, Associative, Distributive, Identity of Addition and Multiplication Preservation of Equality Integer rules Difference between equation and expression Skills We will be able to… Perform operations to both sides Using a graphing calculator Identify the similarities and differences between solving equations and inequalities Graph the solution of an inequality on a number line How to solve and check multi-step linear equations and inequalities How to represent situations algebraically