Unit 4

Expressions and Equations

Math

Unit Length and Description:

40 days

In Unit 4, students develop their understanding of variables in mathematical expressions.  Students will generate expressions and equations that correspond to given situations.  They will also evaluate expressions and use expressions and formulas to solve real-world problems.  Students will use properties of operations to understand that expressions in different forms can be equivalent, to generate equivalent expressions, and to solve simple one-step equations.  Students will use values of variables to solve equations.  Finally, students will construct and analyze tables and use equations to describe relationships between quantities.

Standards:

Enduring Understandings:

·         Variables can be used as unique unknown values or as quantities that vary.

·         Exponential notation is a way to express repeated products of the same number.

·         Expressions can be written with variables to represent real-world problems.

·         Numerical expressions can be written and evaluated using whole number exponents.

·         Properties of operations can be used to generate, simplify and evaluate equivalent expressions.

·         Two equivalent expressions form an equation.

Essential Questions:

·         What is the purpose of an exponent?

·         How do I generate expressions involving whole number exponents?

·         What order of operations do I follow when evaluating expressions?

·         How do I evaluate expressions with variables?

·         How do I identify the parts of an expression?

·         How do I know if two or more expressions are equivalent?

·         How can knowing the properties of operations help me generate expressions?

·         How do I determine which values make an equation or inequality true?

·         How do I solve real-world problems by writing and solving equations?

·         How do I represent solutions of inequalities?

·         What strategies can I use to help me understand and represent real situations using algebraic expressions?