Florida B.E.S.T. MA.6.AR.2.3
The Standard
Write and solve one-step equations in one variable within a mathematical or real-world context using multiplication and division, where all terms and solutions are integers.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students turn situations into equations such as 6x = -42 or x divided by 4 equals -3. They isolate the variable with an inverse operation, then substitute the integer answer to check it.
What Mastery Looks Like
- A student writes a correct multiplication or division equation from a short context. They solve accurately with positive and negative integers and verify the result by substitution.
Common Misconceptions
- Students may divide only one side of the equation or use the same operation instead of its inverse. They often lose a negative sign or misread x divided by -3 as -3x.
How to Assess It
- Exit ticket: A $24 loss is shared equally among 6 players. Write an equation, solve for each player’s share, and check by substitution.
Lesson moves
Ways to Teach It
Use integer chips and four labeled cups to model 4x = -12, then determine and verify the value in each cup.
Discuss: Why must both sides of -5x = 30 be divided by -5, and how can substitution confirm the answer?
Play a matching game pairing one-step integer equations, inverse-operation steps, solutions, and completed substitution checks.
Model a $36 debt split equally among nine people by writing an equation, solving it, and explaining the negative answer.
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Related Standards
- MA.7.AR.2.2
Write and solve two-step equations in one variable within a mathematical or real-world context, where all terms are rational numbers.
- MA.7.AR.2.1
Write and solve one-step inequalities in one variable within a mathematical context and represent solutions algebraically or graphically.
- MA.6.AR.2
Develop an understanding for solving equations and inequalities. Write and solve one-step equations in one variable.
- MA.6.AR.2.2
Write and solve one-step equations in one variable within a mathematical or real-world context using addition and subtraction, where all terms and solutions are...
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