Florida B.E.S.T. MA.6.NSO.3

MA.6.NSO.3 is a B.E.S.T. standard. These are the benchmarks under it.

• MA.6.NSO.3.1

  Given a mathematical or real-world context, find the greatest common factor and least common multiple of two whole numbers.

• MA.6.NSO.3.2

  Rewrite the sum of two composite whole numbers having a common factor, as a common factor multiplied by the sum of two whole numbers.

• MA.6.NSO.3.3

  Evaluate positive rational numbers and integers with natural number exponents.

• MA.6.NSO.3.4

  Express composite whole numbers as a product of prime factors with natural number exponents.

• MA.6.NSO.3.5

  Rewrite positive rational numbers in different but equivalent forms including fractions, terminating decimals and percentages.

01

What Students Need to Do

Students rearrange, regroup, expand, or factor numerical expressions without changing their value. They use commutative, associative, and distributive properties to explain why two forms are equal.

02

What Mastery Looks Like

A student can rewrite 36 + 24 as 6(6 + 4) or 7 × 18 as 7 × (20 − 2). The student names the property used and confirms that the value stays the same.

03

Common Misconceptions

Students may apply commutative reasoning to subtraction or division. They may distribute to only one term, change an operation, or assume equivalent forms must look alike.

04

How to Assess It

Exit ticket: Rewrite 18 + 30 as a product, name the property used, and verify that both forms have the same value.

1. 01

   Use 24 counters to build two arrays, then record multiplication expressions showing how one array can be split and recombined.

2. 02

   Ask: Which is easier to evaluate, 8 × 25 × 4 or 8 × 100, and what property proves they are equal?

3. 03

   Run a card sort matching expressions such as 9(10 + 2), 90 + 18, and 108, then label each property used.

4. 04

   Model six notebooks at $3.75 as 6(3 + 0.75), then compare that calculation with 6 × 3.75.

• MA.7.NSO.1.2

  Rewrite rational numbers in different but equivalent forms including fractions, mixed numbers, repeating decimals and percentages to solve mathematical and real...

• MA.6.AR.1.4

  Apply the properties of operations to generate equivalent algebraic expressions with integer coefficients.

• MA.912.NSO.1.2

  Generate equivalent algebraic expressions using the properties of exponents.

• MA.7.NSO.1

  Rewrite numbers in equivalent forms.