Grade 6 · Ratios & Proportional Relationships · 6.RP.A.1
Equivalent Ratios Worksheets
Free, printable, and ready to teach: a practice worksheet, homework, an exit ticket, and an answer key with step-by-step solutions — plus colorful lesson slides you can edit. Problems climb from Mild to Spicy, with Mr DJ’s worked example on every sheet. No sign-up needed.
Open the practice worksheet
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- PDFPractice worksheet3 pages · 9 questions
- PDFHomework3 pages · 8 questions
- PDFExit ticket1 page · 4 questions
- PDFAnswer key with step-by-step solutions4 pages · covers every sheet
- PDFLesson slides11 slides · print or present
- PPTXEditable slidesPowerPoint · opens in Google Slides & Keynote
PDFs print on US Letter paper. Free for classroom and home use.
Step-by-step math videos on the Math With Mr DJ YouTube channel →Key idea
A recipe is 4 cups flour : 6 rolls. Make an equivalent ratio by scaling both parts by the same number: ÷2 → 2:3, or ×2 → 8:12. Check two ratios are equivalent by reducing both to lowest terms.
Sample problems
- Write a ratio equivalent to 2:3 by multiplying both parts by 4.
- Write a ratio equivalent to 10:15 by dividing both parts by 5.
- Is 3:5 equivalent to 9:15? Show how you know.
- Complete the ratio table for cups : servings = 2 : 5 at 4 cups, 6 cups, and 10 cups.
Common mistakes to watch for
- Scaled only one part (e.g., 6:4) — both parts must be multiplied by the same number.
- Checked with addition (2→6 is +4, 5→15 is +10) — equivalence is multiplicative, not additive.
- Added 2 to the wheels each row instead of scaling with the ratio.
The answer key explains each one, so you can tell what a wrong answer means.
How to use this set
- Teach with the slides (about 15 minutes): a warm-up, the big ideas, a “spot the slip” challenge, Mr DJ’s worked example, and a pick-your-pepper round on whiteboards. Or watch the video together.
- Practice with the worksheet. Everyone does Mild and Medium, then climbs to Spicy and Extra Spicy.
- Check understanding with the exit ticket, and send the homework home.
- Mark with the answer key — each answer shows the steps and the most likely mistake. The slides’ teacher notes are in the key too.
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