Georgia 6.NR.4.6

Math6th GradeNumerical Reasoning

The Standard

Calculate a percent of a quantity as a rate per 100 and solve everyday problems given a percent.

Georgia's K-12 Mathematics Standards · Solve a variety of contextual problems involving ratios, unit rates, equivalent ratios, percentages, and conversions within measurement systems using proportional reasoning.

Teacher's field guide

What This Standard Means

What Students Need to Do

Students interpret a percent such as 35 percent as 35 out of every 100. They use fractions, decimals, diagrams, or equations to find a percent of a given amount in everyday situations.

What Mastery Looks Like

A student can find 15 percent of 80, get 12, and label the result correctly. The student can identify the whole, percent, and part, then check whether the answer is reasonable.

Common Misconceptions

Students may multiply by 25 instead of 0.25 when finding 25 percent. They may confuse the part with the whole or assume every answer must be less than 100.

How to Assess It

Ask: “A $60 jacket is 25 percent off. Find the discount and sale price, then show the equation you used.”

Lesson moves

Ways to Teach It

  1. Give pairs 40 counters; ask them to make four equal groups, identify 25 percent, and write 0.25 × 40 = 10.

  2. Ask, “Are 30 percent of 50 and 50 percent of 30 equal?” Have students calculate, compare, and explain in writing.

  3. Run a Percent Match game with cards showing a context, a percent equation, and an answer; students assemble matching sets.

  4. Use grocery sale ads to calculate discount amounts and final prices for three items, then choose the best savings.

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Printable 6.NR.4.6 Worksheet

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