L1 · Measuring length by tiling and iterating (non-standard units)
“I can measure a length by tiling many copies of a unit, end to end with no gaps and no overlaps, and by iterating one copy of a unit along the length.”
Sara measures her crayon with paper clips. Step 1 - START AT THE END: she puts the first clip at the very end of the crayon. Step 2 - END TO END: she lays each clip right against the last one. No gaps. No overlaps. Step 3 - STOP AND COUNT: the last clip ends at the other end of the crayon. She counts the clips: 1, 2, 3, 4, 5. The crayon is 5 clips long. Say it plainly: tiling means many copies of one unit, end to end, covering the whole length - and the count of units is the length.
Why must the clips have no gaps?
Tom tiles his pencil with clips, end to end, no gaps. He uses 7 clips. How long is his pencil? -> 7 clips long
"Mia tiles a ribbon with cubes, no gaps, no overlaps. She counts 6 cubes. The ribbon is ___ cubes long." -> 6
10 scored questions with a 3-rung hint ladder. Mastery needs 8/10 plus both gate questions.