Florida B.E.S.T. MA.6.AR.3.4

Math6th GradeUnderstand ratio and unit rate concepts and use them to solve problems.

The Standard

Apply ratio relationships to solve mathematical and real-world problems involving percentages using the relationship between two quantities.

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

Teacher's field guide

What Students Need to Do: Students connect a part, a whole, and a percentage using ratios. They find missing values with equivalent ratios, tables, double number lines, or equations.
What Mastery Looks Like: Students can find a missing part, whole, or percentage from two related quantities. They choose a useful model or equation, label the quantities, and check that the answer is reasonable.
Common Misconceptions: Students may use the part as the whole or reverse the two quantities in a ratio. They may treat 25% as 25 instead of 0.25 or 25 out of 100. Some find the correct percentage but forget to subtract a discount from the original price.
How to Assess It: Give this exit ticket: A club has 40 members, and 14 are sixth graders. What percentage are sixth graders? Show a ratio equation.

Lesson moves

Give pairs 60 counters; they separate 15, then scale the part-to-whole ratio to an equivalent ratio out of 100.
Students calculate 30% of 50 and 50% of 30, then write whether the results are always related and why.
Run a card-matching game with percent problems, ratio equations, and solutions; teams explain each match before keeping it.
Use a grocery ad to calculate discount amounts and final prices for three sale items, then check whether each answer is reasonable.

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