**Essential Questions**

**Essential Questions**

- How can variables be used to represent unknown quantities?
- How can multiple expressions be written to describe a pattern and determine whether the expressions are equivalent?
- How do I solve for the value of an unknown variable in an algebraic expression?
- How can figures be enlarged and reduced while maintaining their shapes?
- How can ratios describe relationships between similar shapes?

**Concepts**

**Concepts**

- Variables will be used to represent and solve for unknown quantities.
- Multiple expressions will be used to describe a pattern and assist in determining whether they are equivalent.
- An unknown variable has a value in an algebraic expression.
- Figures can be enlarged and reduced while maintaining their shapes.
- Ratios describe relationships between similar shapes.

**Skills**

**Skills**

- Utilize variables to represent unknown quantities.
- Relate how multiple expressions can describe a pattern and determine whether the expressions are equivalent.
- Investigate the value of an unknown variable in an algebraic expression.
- Prove how figures can be enlarged or reduced while maintaining their shape.
- Interpret how ratios describe relationships between similar shapes.

__Vocabulary__

__Vocabulary__

**New Vocabulary Terms:**

- algebraic expression*
- enlarge*
- equivalent expressions*
- evaluate*
- reduce*
- similar figures*
- substitution*
- variable*
- vertex (vertices)*

**Old Vocabulary Terms:**

- equivalent fractions
- equivalent ratios
- expression
- ratio