Proportional relationships worksheets, constant of proportionality practice pages, and self-checking mini Mystery Detective pack of math activities for 7th grade are all included in this printable proportional reasoning detective pack. Students find the constant from a pair of values, fill in the missing value in a proportion, work out unit rates and unit prices, and use the equation y = kx in both directions. Perfect for math centers, small groups, warm ups, homework, spiral review, test prep, intervention, early finishers, substitute plans and homeschool. Completely no prep - just print and go.
Every case is set at a schools sports carnival, one sport to a page: the goal nets gone off their posts before the first match, ten lanes reset wrong before the closing frame. The pages check themselves - a wrong answer stops the mystery in its tracks, so students find their own mistake before it reaches your marking pile.
What's Inside
- Finding the constant of proportionality straight from a pair of values: (6, 42) gives k = 7
- Finding the missing value in a proportion, where the scale factor is not a whole number: 4 : 26 = 10 : ?
- Unit rate and unit price worked to the cent: $18.75 for 5, $148.35 for 23
- Using the equation y = kx to find y, then reading the same equation backwards to find x
- Mixed pages where working out which question you are looking at is half the skill
- A reference page on y = kx, on testing whether a relationship is proportional at all, and on why proportional quantities multiply rather than add
Ten leveled cases run through one sports carnival: The Missing Goal Nets, The Stolen Score Clock, The Swapped Ball Tubes, The Broken Bat Rack, The Deflated Footballs, The Cut Volley Net, The Snapped Stumps, The Jammed Bike Gears, The Switched Weights and The Toppled Pin Deck.
Answer keys, a detective's case log and a certificate of achievement are included.
What is a Mini Mystery Detective?
A no-prep detective activity where students solve math problems to cross off suspects and unmask the culprit. Skill practice plus critical thinking in one engaging, self-checking worksheet set - like an escape room without the locks.
When to Use This Resource
- Math centers, stations and rotations
- Guided math and small group work
- Warm ups, bell ringers and morning work
- Homework and independent practice
- Spiral review before percents, scale drawings and slope
- Test prep, intervention and enrichment
- Early finishers, substitute plans and emergency cover
Grade Levels
Designed for 7th grade, where proportional relationships and the constant of proportionality are taught. Also beneficial for 6th graders moving on from ratio tables, and for 8th graders reviewing before slope and linear equations.
Why Teachers Love Mystery Detectives
- Zero prep - print and go
- Self-checking, so students catch their own mistakes
- Leveled, so you can hand different pages to different students
- The wrong badges are the mistakes students really make - treating a proportional relationship as an adding one, or dividing the wrong way round - so you can see which step slipped
- Prints clean in black and white
- A detective hook that keeps a whole class working
Teaching ratios and rates first? The Ratios and Proportions Mystery Detective covers equivalent ratios and unit price for 6th grade.
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