Learning Goal
Part of: Analyze proportional relationships and use them to solve real-world and mathematical problems — 3 of 3 cluster items
Use proportional relationships to solve multistep ratio and percent problems
**7.RP.A.3**: Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.
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7.RP.A.3: Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.
What you'll learn
- Identify the type of percent problem (percent of a quantity, percent increase/decrease, percent error) and select the appropriate proportional relationship to model it
- Solve problems involving tax, tips, markups, markdowns, commissions, and fees by computing a percent of a base amount and combining with the original quantity
- Calculate simple interest using the formula I = prt and interpret each variable in context
- Compute percent increase and percent decrease using the relationship (change / original) × 100
- Calculate percent error as |measured − actual| / actual × 100 and interpret it in context
- Solve multistep problems by chaining proportional relationships, tracking intermediate quantities, and assessing the reasonableness of final answers
Slides
Interactive presentations perfect for visual learners • 2 slide decks
Slide Video
Watch narrated slides play like a video lesson • Narrated slide playback
Exercises
Practice problems to build fluency and understanding • 1 exercises