Poo Case 1 Case 2 Case 3 Case 4 Case 5 1. Use color to show how you see the pattern growing from one case to the next in the sequence of figures above. You should show (with color) how the previous case is embedded within the next case. a. See the example from the problem "How many cubes are in the nth case?" (p. 63) in Chap 5 of the Mathematical Mindsets book by Jo Boaler as to what I am looking for. 2. Complete the given table. Imagine that the sequence of figures continues forever, so that for each counting number N, there is an Nth figure. What is the expression for the number of small circles in the Nth pattern? Case Number Number of Small Circles in the Figure W / N 5 6 8 .. . Wth 3. Relate the structure of the expression you found in #2 to the structure of the figures in #1 and use this relationship to explain why your expression makes sense. 4. How many small circles will the 38 figure in the sequence be made of? How can you tell? 5. Will there be a figure in the sequence that is made of 100 small circles? If yes, which one? If no, why not? Answer these questions two ways: with algebraic equations and in a way that a student in elementary school who has not yet studied algebraic equations might be able to understand. 6. Will there be a figure in the sequence that is made up of 125 small circles? If yes, which one? If no, why not? Answer these questions in two ways: with algebraic equations and in a way that a student in