Multiplicative Comparison and Unit Rate
How many times as much, and how much per single unit, are two faces of the same relationship. Learners find a per-unit value (per kilogram, per hour as speed, fraction of a number) and scale it up, including reading speed as the slope of a distance-time graph. Unit-rate reasoning underlies proportions and all later rate work.
grade 3–4 MDNBTNFOA Analyze the UnitsConvert to Algebra
Progression (7)
3-1 1. Distance grows in proportion to time 4.MD.A.23.OA.A.3
3-1 2. Speed is distance per unit time 4.MD.A.23.OA.A.3
3-2 3. Fraction of a number: divide then multiply 3.NF.A.13.OA.A.2
3-2 4. Find the per-unit-weight rate first 3.OA.A.33.MD.A.2
4-1 5. How many times the unit quantity 4.OA.A.24.NBT.B.5
4-1 6. Find the value of one unit 4.NBT.B.64.OA.A.2
4-2 7. Slope of a time-distance line graph is speed 4.MD.A.25.MD.B.2