Proportional reasoning
1
A car travels 120 miles in 3 hours at a constant speed. How far does it travel in 5 hours?
Unit rate
2
A toy car travels 120 centimeters in 30 seconds at a steady speed. How many centimeters does it travel in 1 second?
Ratio
3
A robot team has 3 blue bots for every 2 red bots. The team has 10 red bots in total. How many blue bots does the team have?
Linear decay
4
A battery starts at 100% charge. Every minute it loses 5%. How much charge is left after 4 minutes?
Coordinate geometry
5
In which quadrant does each point sit? (2, 5) · (−3, 1) · (0, −4) · (−1, −2)
Proportional scaling
6
A recipe for pancakes uses 2 cups of flour and 3 cups of milk to serve 4 people. You want to serve 12 people using the same recipe. How much flour and how much milk do you need?
Arc approximation
7
A hiking trail curves from the trailhead (point A) to the lookout (point B), shown below. A student wants to estimate the length of the trail along its curve, but the ruler only measures straight lines. Describe one thing the student could do.
Slope as rate of change
8
A line passes through (0, 3) and (2, 7). What is the slope? What does it tell you about how y changes as x increases?
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