Read each student’s reasoning, and answer the questions.
Jada says, “I know 4 nickels and 7 dollar coins weigh 76.7 grams. I know 4 nickels and 5 dollar coins weigh 60.5 grams. Here’s what else I can figure out based on that:
- 2 dollar coins weigh 16.2 grams.
- 1 dollar coin weighs 8.1 grams.
- 5 dollar coins weigh 40.5 grams.
- 4 nickels weigh 20 grams.
- 1 nickel weighs 5 grams.”
- How did Jada figure out that 2 dollar coins weigh 16.2 grams?
- Why might Jada have done that step first?
- After Jada figured out how much 1 dollar coin weighed, why did she calculate how much 5 dollar coins weighed?
- Once Jada knew how much 5 dollar coins weighed, how did she figure out how much 4 nickels weighed?
Priya says, “I know 9 plastic bricks and 3 number cubes weigh 39 grams, and 7 plastic bricks and 6 number cubes weigh 50.5 grams. Here’s what I can figure out based on that:
- The weight of 18 plastic bricks and 6 number cubes is 78 grams.
- The weight of 11 plastic bricks is 27.5 grams.
- The weight of 1 plastic brick is 2.5 grams.
- The weight of 9 plastic bricks is 22.5 grams.
- The weight of 3 number cubes is 16.5 grams.
- The weight of 1 number cube is 5.5 grams.”
- Why is Priya’s second step only about plastic bricks, not number cubes?
- How does it help Priya to have a statement that’s just about plastic bricks, and not number cubes?
- Why might Priya have started by finding the weight of 18 plastic bricks and 6 number cubes?
- After Priya figured out how much 1 plastic brick weighed, why did she calculate how much 9 plastic bricks weighed?