Florida B.E.S.T. MA.8.AR.1.2
The Standard
Apply properties of operations to multiply two linear expressions with rational coefficients.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students multiply each term in one expression by each term in the other. They simplify the result by handling rational coefficients accurately and combining like terms.
What Mastery Looks Like
- Students correctly expand expressions with whole numbers, fractions, decimals, and negative coefficients. They combine like terms and can verify that a factored form and expanded form are equivalent.
Common Misconceptions
- Students often multiply only the first terms and last terms, missing the two cross products. They may lose a negative sign or write x times x as 2x instead of x². Some add denominators when multiplying fractions or combine x² and x terms.
How to Assess It
- Exit ticket: Expand and simplify (1/2x - 3)(2x + 5). Show all four partial products and the final expression.
Lesson moves
Ways to Teach It
Build (2x - 3)(x + 4) with algebra tiles, then record each partial product and combine like terms.
Compare two expansions of (x - 2)(3x + 5), identify the incorrect line, and explain the error in writing.
Play a card match by pairing factored expressions with expanded forms, then verify each match by writing the four partial products.
Model a rectangle with side lengths (x + 1.5) meters and (2x - 0.5) meters, then write its area expression.
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Printable MA.8.AR.1.2 Worksheet
A ready-to-print activity worksheet aligned to MA.8.AR.1.2, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- MA.7.AR.1.1
Apply properties of operations to add and subtract linear expressions with rational coefficients.
- MA.912.AR.1.3
Add, subtract and multiply polynomial expressions with rational number coefficients.
- MA.6.AR.1.4
Apply the properties of operations to generate equivalent algebraic expressions with integer coefficients.
- MA.912.AR.1.9
Apply previous understanding of rational number operations to add, subtract, multiply and divide rational algebraic expressions.
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