Your split, the same whole
Choose a valid partition and justify its complete product.
Explore this lesson →8 practice questions · Optional read aloud · Thinking pad
Let’s understand the idea.
- You may choose useful positive parts, rather than copying one fixed cut.
- Each factor's parts must add to that original factor.
- Record every pair's product, then add all regions once.
- A different valid split changes the parts and their products while preserving the total.
- Explain why one of your chosen partial products belongs to the original problem.
Something to notice
Let the learner choose the split before calculating. Try a second different split and compare the totals. A different split can also be correct. Ask the learner to point to each part of the original quantity, connect it to a partial product, and explain why none is missing or counted twice. Record whether the explanation was independent, prompted, or not yet demonstrated; a correct total alone is not enough.
Try it. Change it. Explain it.
Open the lesson to use its pictures and controls. In How it works, connect the picture to the idea. In Play & discover, change the quantities and notice what stays the same. In Your turn, answer questions and use the explanation to check your reasoning.
You can ask for help, draw on the thinking pad, or listen to the question and answer options. Progress distinguishes independent work from work completed with help.
Let’s try it →Curriculum connection
Grade 4 · 4.NBT · US Common Core
This lesson is mapped to these standards. A completed activity is practice evidence, not a claim of mastery. Content is checked against the linked official standards and its mathematical models are tested.