Florida B.E.S.T. MA.912.NSO.1

MA.912.NSO.1 is a B.E.S.T. standard. These are the benchmarks under it.

• MA.912.NSO.1.1

  Extend previous understanding of the Laws of Exponents to include rational exponents. Apply the Laws of Exponents to evaluate numerical expressions and generate...

• MA.912.NSO.1.2

  Generate equivalent algebraic expressions using the properties of exponents.

• MA.912.NSO.1.3

  Generate equivalent algebraic expressions involving radicals or rational exponents using the properties of exponents.

• MA.912.NSO.1.4

  Apply previous understanding of operations with rational numbers to add, subtract, multiply and divide numerical radicals.

• MA.912.NSO.1.5

  Add, subtract, multiply and divide algebraic expressions involving radicals.

• MA.912.NSO.1.6

  Given a numerical logarithmic expression, evaluate and generate equivalent numerical expressions using the properties of logarithms or exponents.

• MA.912.NSO.1.7

  Given an algebraic logarithmic expression, generate an equivalent algebraic expression using the properties of logarithms or exponents.

01

What Students Need to Do

Students rewrite expressions using exponent, radical, and logarithm properties. They add, subtract, multiply, divide, and simplify these expressions while keeping equivalent values and valid domains.

02

What Mastery Looks Like

Students choose the correct property and show valid steps when rewriting or combining expressions. They simplify numerical and algebraic expressions, check equivalence, and state restrictions when needed.

03

Common Misconceptions

Students may add exponents when adding like bases, or distribute a square root across a sum. They may confuse product, quotient, and power rules for logarithms. They also may ignore domain restrictions or introduce an extra solution when squaring.

04

How to Assess It

Give an exit ticket: simplify x³x⁻⁵, √72, and log₂8 + log₂4, then state any restrictions on the variables.

1. 01

   Give pairs algebra tiles and radical cards to build, combine, and verify equivalent expressions such as √12 = 2√3.

2. 02

   Ask students to explain why log(ab) equals log(a) + log(b), but log(a + b) usually does not.

3. 03

   Run a matching game where students pair exponent, radical, and logarithmic expressions with equivalent simplified forms.

4. 04

   Use compound interest data to rewrite exponential models and compare yearly, monthly, and continuous growth.

• MA.8.AR.1

  Generate equivalent algebraic expressions.