These curriculum examples extend the central model into varied contexts. They are learning contexts, not extra definitions to memorise.
E1
using 2 different units; for example, pop sticks and pencils, to measure the length of an object such as a desk, and explaining why the number of units used may be different
Try and explain: The same strip measures six long blocks or twelve short blocks, with no gaps. Did the strip change length?
Answer and teaching point
No. Smaller units require more copies. The count depends on the unit as well as the object's length.
E2
comparing the length of 2 objects such as a desk and a bookshelf by laying multiple copies of a unit and counting to say which is longer and how much longer; explaining why they shouldn’t have gaps or overlaps between the units as this will change the length of the unit
Try and explain: A mat measures eight identical blocks and a tray measures five. How much longer is the mat?
Answer and teaching point
Three blocks longer: 8 − 5 = 3. Both measurements must use the same-sized blocks placed end-to-end.
E3
measuring the distance between 2 locations using footsteps, comparing the results and explaining why there may be different results; for example, referring to the different length of footsteps as using different units
Try and explain: Two children count different numbers of footsteps over the same path. Give a possible reason and a better comparison method.
Answer and teaching point
Their steps may differ in length. Use copies of one fixed unit, such as the same measuring strip, for a more consistent comparison.
E4
measuring and comparing the length of objects using blocks; for example, comparing the height of 2 toys by stacking blocks one on top of the other and counting how many it takes to reach the height of each object to decide which is taller
Try and explain: One toy reaches six stacked blocks and another reaches four. Which is taller, and by how much?
Answer and teaching point
The first is two blocks taller, provided the blocks are identical and both stacks start at the same level.