Here are the examples.

1. (2 points) Solve the 238 + 194 with A left to right strategy Lattice Addition 2. (2 points) Solve the 326 157 with each of the following strategies. You may not change any of the numbers by adding to them or regrouping them. A left to right strategy. A right to left strategy 3. [4 pts] Explain and Illustrate the common addition algorithm for 4-36 + 87 Algorithm Blocks Explanation 1 436 + 87 3 1 1 436 +_37 23 1 1 436 + 87 523 4. To the Right is the Equal Addends algorithm. 4 15 14 a. (2 pts) Explain how to work the Austrian algorithm 23 67 5 with these numbers 234 86. 1 8 9 b. (2 pts) Explain why it works. 5. (3 points) Consider the standard subtraction algorithm in process as shown. Explain the purpose and reason for each of the three annotations or marks already made. lllll 6. (6 points) Explain and illustrate the common/traditional subtraction algorithm for 834 576. Algorithm Blocks Explanation 2 14 First show the initial setup, then show 8 34- the exchanges and taking away as 5 7 6 appropriate 8 7 12 14 8 34 5 7 6 5 8 7 12 14 8 34- -5 7 6 2 5 8 7. (1 point) The minuend is the (circle the correct answer) a. Top number b. Bottom number 8. (5 points) True or False Mathematicians often work for a long time on a single problem. Mathematicians don't discuss their work and thinking with other mathematicians. Mathematicians don't bother to prove that their results are correct. Mathematicians get satisfaction from the process of doing mathematics Mathematicians use unsuccessful attempts as stepping stones to solutions. 'f'l'f'l'f'l'f'l'l'l \f\f\f\f