Compare Rates Game

Compare Rates Game
Play the Comparing Rates Challenge! A free 6th-grade math game where students compare unit prices, speeds, and rates to solve real-world word problems. Scroll down for a detailed explanation.
 

 

How to Play the Game

1. Read the Scenario: Each question presents a comparison between two stores, items, workers, or vehicles (e.g., comparing price per box or speed in miles per hour).
   

2. Calculate the Unit Rates: Calculate the rate for each option on scratch paper by dividing the total quantity or cost by the number of units.
   

3. Select Your Answer: Choose one of the three options: Option 1, Option 2, or “They cost/run the same."
   

4. Review the Explanation: After selecting an answer, read the step-by-step mathematical breakdown to check your working.
   

5. Track Your Score: Click Next Question to move forward. Your score updates continuously as Correct / Attempted through 10 randomly selected questions.
   

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Educational Summary
The Comparing Rates Challenge aligns directly with Common Core State Standards for 6th Grade Mathematics (CCSS.MATH.CONTENT.6.RP.A.2 and CCSS.MATH.CONTENT.6.RP.A.3.B).

The game targets conceptual understanding and procedural fluency in unit rates. By intentionally excluding calculated values from the multiple-choice options, students cannot rely on process-of-elimination or numeric matching. They must compute both unit rates independently before making a comparative judgment (determining which value is greater, lesser, or equivalent).

Teacher’s Guide
Target Audience: Grade 6 (or Grade 7 intervention/review).
Suggested Use Cases: Warm-up activity, station/center work, formative assessment exit ticket, or homework practice.
Prerequisites: Students should be familiar with finding unit rates using division (\(Rate = \frac{Quantity_1}{Quantity_2}\)) prior to playing.
Key Misconceptions to Monitor:
Inverse Comparison Errors: Confusing “lower number is better” (unit price) with “higher number is better” (speed or production rate).
Order of Division: Dividing units by dollars (\(\frac{items}{$}\)) instead of dollars by units (\(\frac{$}{items}\)) when calculating unit cost.

Classroom Extension: Have students keep a two-column scratch notebook while playing. For each question, require them to write down the two division equations (e.g., 9 ÷ 3 = 3 and 10 ÷ 5 = 2) before clicking an option.

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