Florida B.E.S.T. MA.912.AR.1.2

MathGrades 9–12Interpret and rewrite algebraic expressions and equations in equivalent forms.

The Standard

Rearrange equations or formulas to isolate a quantity of interest.

Florida B.E.S.T. Standards for Mathematics

Teacher's field guide

What Students Need to Do: Students use inverse operations to get a chosen variable alone while preserving equality. They work with formulas containing several variables, fractions, exponents, or grouped terms.
What Mastery Looks Like: Students choose inverse operations in a useful order and keep both sides balanced. They can isolate the requested variable and check the result by substitution or comparison.
Common Misconceptions: Students may change one side of an equation without making the same change to the other side. They may mishandle negative signs, fractions, or variables that appear in denominators.
How to Assess It: Exit ticket: Given 3x + 2y = 12, solve for y, then substitute your result to show the new equation is equivalent.

Lesson moves

Use a balance mat and labeled variable cards to model each operation while isolating one variable in a two-variable equation.
Ask students to explain why dividing every term by the same expression keeps an equation equivalent.
Run a card sort matching original formulas, correctly rearranged formulas, and common incorrect versions.
Give the temperature formula F = 9C/5 + 32 and have students rewrite it to calculate Celsius.

Free download

$Preview of the MA.912.AR.1.2 printable worksheet$

A ready-to-print activity worksheet aligned to MA.912.AR.1.2, with an answer key for the teacher on its own page. No account needed.

PDF, US Letter, prints cleanly in black and white.

Keep exploring

Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.