6.RP.1
100: Define a ratio and write the ratio of 8 blue marbles to 2 red marbles in two common forms.
6.RP.1 100: "Ratio = a to b" and "a:b" — For 8 blue to 2 red: 8:2 or "8 to 2" (simplifies to 4:1).
100: What is a unit rate? Give a short definition appropriate for a 6th grader.
6.RP.2 100: Unit rate = amount per one unit (e.g., miles per hour).
100: What does it mean to use ratio and rate reasoning to solve a real-world problem? Give a one-sentence example (non-computational).
6.RP.3 100: Use ratios to model real situations (example: comparing ingredients).
200: A recipe uses 3 cups of flour for every 2 cups of sugar. Write that ratio using "to" language and as a fraction.
6.RP.1 200: "3 to 2" and 3/2.
200: If a car travels 150 miles in 3 hours, what is the unit rate in miles per hour?
6.RP.2 200: 50 miles/hour.
200: If 7 shirts cost $84, how much does 1 shirt cost? Then find the cost of 5 shirts.
6.RP.3 200: $12 per shirt; 5 shirts cost $60.
300: Sam has 12 apples and 18 oranges. Write the ratio of apples to oranges in simplest form and explain what it means in words.
6.RP.1 300: 12:18 = 2:3; means for every 2 apples there are 3 oranges.
300: A pack of 6 energy bars costs $9. What is the unit price per bar?
6.RP.2 300: $1.50 per bar.
300: A map scale shows 1 inch : 20 miles. How many miles does 3.5 inches represent? Show the reasoning.
6.RP.3 300: 3.5 in × 20 miles/in = 70 miles.
400: Draw or describe a simple tape diagram or double number line that shows the ratio 4:5 and use it to find the value when the first quantity is 12.
6.RP.1 400: Double number line: 4→5, 8→10, 12→15 so value is 15.
400: A printer prints 350 pages in 5 minutes. Find the unit rate in pages per minute and show your calculation.
6.RP.2 400: 70 pages per minute.
400: A school has 240 students and the ratio of students who walk to take the bus is 5:3. How many students walk? How many take the bus?
500: Explain in one sentence the difference between a ratio and a fraction, then give an example showing both for the same quantities.
6.RP.1 500: Ratio compares two quantities; fraction shows part of whole (example: 2:3 vs 2/5).
500: A cyclist covers 45 kilometers in 1.5 hours. Find the unit rate in km per hour and then convert it to meters per minute.
6.RP.2 500: 30 km/h; convert to meters per minute: 30,000 m / 60 min = 500 m/min.
500: A solution is mixed in the ratio 2 parts chemical A to 7 parts water. If you need 405 liters of the mixture, how many liters of chemical A and water are used? Show work.
6.RP.3 500: Total parts 2+7=9; chemical A = 2/9×405 = 90 L; water = 7/9×405 = 315 L