Learn · explore · explain
Workbook 2 · Operations, squares and roots
Name: ____________________ Date: ______________
For each activity: predict → explore → explain → check. Draw beads or write place-value labels when useful.
1. Explain 7 + 5 using a complement.
2. Regroup to explain 32 − 7.
3. Explain why 4 × 6 and 6 × 4 give the same answer.
4. Divide 29 into groups of 4. Give the whole-group count and remainder.
5. Find 12² using (10 + 2)². Include both cross terms.
6. Why is √49 equal to 7, although both 7² and (−7)² equal 49?
7. Bound √20 between two consecutive integers. Then try 4.4 and 4.5.
8. Can the five-place website frame display 40² exactly? Can it display √2 exactly?
9. Explain what can be displayed on the frame and what still requires a written method.
Reflection
What changed your thinking? What question would you ask next?