Florida B.E.S.T. MA.7.AR.1

MA.7.AR.1 is a B.E.S.T. standard. These are the benchmarks under it.

• MA.7.AR.1.1

  Apply properties of operations to add and subtract linear expressions with rational coefficients.

• MA.7.AR.1.2

  Determine whether two linear expressions are equivalent.

01

What Students Need to Do

Students use the distributive property, combine like terms, and factor out common factors. They recognize when two different-looking expressions have the same value for every allowed variable value.

02

What Mastery Looks Like

A student can expand, combine like terms, and factor out a common factor without changing an expression's value. They can explain each step using a property and check the result by substitution.

03

Common Misconceptions

Students may distribute a factor to only the first term inside parentheses. They may combine terms with different variables or exponents. Negative signs often cause errors when removing parentheses.

04

How to Assess It

Exit ticket: Rewrite 3(2x - 5) + 4x in simplest form, then verify your result by substituting x = 2.

1. 01

   Use algebra tiles to model 3(x + 2) + 2x, then rearrange the tiles to show 5x + 6.

2. 02

   Ask students whether 4(x + 3) and 4x + 3 are equivalent, then have them justify their answer in writing.

3. 03

   Give pairs a card sort with expanded, simplified, and factored expressions that must be matched into equivalent sets.

4. 04

   Present a phone plan costing 25 + 4m dollars, then have students rewrite the cost for three people and simplify.

• MA.8.AR.1

  Generate equivalent algebraic expressions.

• MA.912.AR.1

  Interpret and rewrite algebraic expressions and equations in equivalent forms.

• MA.912.NSO.1.2

  Generate equivalent algebraic expressions using the properties of exponents.

• MA.6.AR.1.3

  Evaluate algebraic expressions using substitution and order of operations.