Unit 3

Equal or Not

Unit Essential Questions:

How can algebraic expressions and equations be simplified and evaluated?

How can inequalities be used to represent a problem with many solutions?

Standard(s):

• M8A1: Students will use algebra to represent, analyze and solve problems.

• M8A2: Students will understand and graph inequalities in one variable.

Concept 1:Variables/Expressions/Properties Lesson Essential Questions:

1. How are verbal models translated to algebraic expressions and equations?

2. How can you evaluate expressions? (revisited)

3. How can you identify properties?

Vocabulary 1:• Variable• Expression-Algebraic & Numerical• Sum/Product/Quotient• Evaluate• Substitute• Order of Operations• Open Sentence• Equation• Property• Counter Example

Concept 2:One Step Equations

Lesson Essential Questions:

1. How are inverse operations used to solve one-step equations including absolute values?

2. How are equations with rational numbers solved?

3. How are problems solved using the percent equation?

Concept 3 :Multi-Step Equations

Lesson Essential Questions:

1. How are expressions simplified by combining like terms?

2. How are inverse operations used to solve two-step equations?

3. How does the distributive property help to simplify expressions?

Vocabulary 3:

• Like Terms• Coefficient• Constant• Term• Distributive property• Simplest form• Equivalent expressions• Simplifying the expression

Concept 4:Solving Equations and Formulas

Lesson Essential Question:

1. How do you solve equations for one variable?

Concept 5:Inequalities

Lesson Essential Questions:

1. What are inequalities?

2. How can an inequality be graphed on a number line?

3. How are inequalities written given verbal information?

Concept 6:Solving/Graphing Inequalities

Lesson Essential Questions:

1. How are inverse operations used to solve inequalities?

2. When should the sign be reversed in solving inequalities?

3. How can the solution of an inequality be graphed on a number line?