Wyoming Math 6.RP.3c
The Standard
Use ratio and rate reasoning to solve real-world and mathematical problems. Understand that a percentage is a rate per 100 and use this to solve problems involving wholes, parts, and percentages.
2023 Wyoming Mathematics Content and Performance Standards · Understand ratio concepts and use ratio reasoning to solve problems.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students treat a percent as a rate out of 100. They use it to find a part, a whole, or a percent in problems about prices and other quantities.
What Mastery Looks Like
- A student can find 30% of 80 and show why the answer is 24. If 12 is 30% of a class, they can find the class size by dividing 12 by 0.30.
Common Misconceptions
- Students may treat 30% as 30 and multiply by 30 instead of 0.30. When given a part and its percent, they may take that percent of the part instead of finding the whole.
How to Assess It
- Exit ticket: Twelve students ride the bus, which is 30% of the class. How many students are in the class, and what percent do not ride the bus?
Lesson moves
Ways to Teach It
Shade 25 squares on a hundred grid, then split 40 counters into four equal groups to model 25% of 40.
Have partners explain why a 25% discount on a $60 jacket takes off $15, not $25.
Deal pairs cards labeled 20%, 20/100, 0.2, and a hundred grid with 20 shaded squares; have them race to match all four.
Hand out a mock store tag showing a $40 backpack at 15% off, and have students calculate the sale price.
Free download
Printable 6.RP.3c Worksheet
A ready-to-print activity worksheet aligned to 6.RP.3c, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetKeep exploring
Related Standards
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.
Also for this standard:Make a WorksheetMake a QuizMake a Sub Lesson