Students will learn how to compare numbers in scientific notation. Students will learn how to compare numbers in scientific notation with positive exponents before negative ones.

Comparing Numbers in Scientific Notation by shaunteaches

Next, give your students these challenges:

- Math Kangaroo 2016 Levels 7-8 Problem #28 by STEM4all
- A Numbered Route by NRICH

Magic Matrix by NRICH: Additionally, ask for the number of solutions, given any matrix. The reasoning goes like this: Suppose the smallest entry in the matrix is 3. One solution can be obtained by setting the missing row value to be 0. We can find our next solution by increasing each of the missing row values by 1, and decreasing each of the missing column values by 1. This ensures that the sum for each row-column pair is unaffected. Once the missing row value, where the 3 is present, gets to 4, we must stop, as there is no whole number which we can add to 4, to get 3. Thus, the number of solutions is equal to the smallest entry in the matrix, plus one.

Conclude by leading this investigation:

Puppet Puzzle (counting, logic, proof)

by MathPickle