New Math Problem

The new math problem for the week ahead.

Who Want To Be A Millionaire

1. Watch the video above.
2. Get base ten blocks.  Take out the ones.
3. Build square arrays.  The largest amount of ones you can build an array with is 100.  You can build other square arrays with any amount of blocks as long as you don’t use more than 100 blocks.
4. Recreate these square arrays on grid paper.  Write down a multiplication problem representing each square.  Can you use the commutative property with these multiplication sentences?
5. Write down all of these multiplication sentences  in order below.  Start with the smallest square and work your way up to the largest.
6. Look at the products for these multiplication sentences.  Write down any patterns that you notice.
7. Why are these numbers called square numbers?
8. Rewatch the video.  Explain why the answer was 25.  Show this answer by placing these two square arrays next to each other on grid paper.  Write a new number model to show how they can be added together to equal 25.
9. What other larger square number equals the sum of two smaller square numbers?
10. Watch the following link.  Boring Square
11. Now let’s turn your boring squares into cubes.  Cool 3D Shapes
12. Get the unifix cubes in the front of the room.
13. Make each square array with them.
14. Turn your squares into cubes.  
15. Figure out how many blocks you used to create each cube.  
16. Explain what a cube is.
17. How are cubes different than squares?  List as many differences as possible?  How are they the same?