Problem
Size of one big interval
Consecutive large ticks differ by 11,000 - 10,000 = 1,000, so each big interval spans 1,000.
The labels go up by the same step, and 11,000 minus 10,000 is 1,000.
4.NBT.A.2Identify SubproblemsValue of one small tick
That 1,000 is split into 10 equal small ticks, so each small tick is 1,000 ÷ 10 = 100.
Splitting 1,000 into 10 equal pieces gives 100 each, the ten-times-smaller place.
4.NBT.A.1Draw A DiagramEach small tick between the large marks is worth 100.
Why?
The whole interval from one large mark to the next is worth 1,000 and is cut into 10 small ticks of equal size, so each tick carries 1,000 ÷ 10 = 100.
Why?
The large marks around the interval read 11,000 and 12,000, and the interval is whatever you add to 11,000 to reach 12,000, which subtraction recovers as 12,000 − 11,000 = 1,000.
Why?
One thousand is exactly ten hundreds bundled together, so sharing that thousand back into ten equal ticks leaves one hundred on each.
Step 4 small ticks past 12,000
The star is 4 small ticks beyond 12,000, so add 4 hundreds: 12,000 + 4 × 100 = 12,000 + 400 = 12,400.
Each hop is 100, so four hops add 400.
4.NBT.A.2Draw A DiagramThis only needs Grade 4 place-value sense: find what one little tick is worth, then count the ticks!
- Size of one big interval
- Value of one small tick
- Step 4 small ticks past 12,000