**Essential Questions**

**Essential Questions**

- How do I determine what is being compared when using unit rate?
- How do I use unit rates to make comparisons?
- How do I extend my understanding of division to include mixed numbers and decimals?
- How do I use symbolic manipulation skills ("magic" tricks) to rewrite expressions?

**Concepts**

**Concepts**

- Rates can be calculated and solved through real-world situations.
- Ratios and rates with both like and unlike units can be compared using ratios, tables, and graphs.
- Division of fractions, mixed numbers, and decimals can be solved more efficiently with algorithms.
- Expressions with combining like terms and the Distributive Property can be represented visually and algebraically.

**Skills**

**Skills**

- Calculate and solve rates, including unit rates.
- Compare ratios and rates with different units.
- Apply division concepts more efficiently to fractions, mixed numbers, and decimals.
- Compose expressions by combining like terms and using the Distributive Property.

__Vocabulary__

__Vocabulary__

**New Vocabulary Terms:**

- boundary point*
- coefficient*
- inequality*
- inverse operation*
- multiplicative inverse*
- rate*
- reciprocal*
- rule*
- solve*
- unit rate*

**Old Vocabulary Terms:**- constant term
- Distributive Property
- equation
- evaluate
- expression
- factor
- quotient
- ratio
- simplify
- term
- variable