Download Review on Exam 2 - Converging | MATH 1410 and more Exams Mathematics in PDF only on Docsity! Review on Exam 2 Covering Chapters 3 and 5 Describe an outline illustrating why children need to learn (understand versus memorize) all single- digit arithmetic for addition, multiplication, subtraction, and division. Your outline should include terms such as “single-digit arithmetic and power-ten arithmetic. Algorithms for large number arithmetic can all be transformed into arithmetic involving only single-digit numbers, power-ten numbers, and various combinations thereof. Patterns, Hundred Chart, Number Sense. What does this all have to do with counting and arithmetic principles? Describe Mental Math. Name some things mental math accomplishes (7 listed in book). How does it help teachers (4 listed in book)? Addition Strategies (Algorithms). Make sure you understand and can explain the addition principle. Be able to define combination pairs and compatible pairs (and compute them quickly) 6 + 4, 7 + 3, 7 + 8, 12 + 8, 7 + 7, 9 + 9, 7 + 5, 9 + 3, 8 + 3, 11 + 6, 12 + 12 Compensation (define): sharing, adding, removing, decomposition, break apart, factoring 11 + 23, 17 + 19, 23 + 61, 78 + 19, 123 + 78, 201 + 177 , 700 + 800 , 9000 + 6000 Value expanded form, Place-value expanded form (pg 232) Using number line and Hop, Skip, Jump strategy (pg 178) Table Array Form (pg 233), and Lattice Algorithm (pg 235) Multiplication Strategies (Algorithms). Make sure you understand and can explain the multiplication principle. Be able to define combination pairs and compatible pairs (and compute them quickly) 2 x 5 , 4 x 5, 8 x 5 , 3 x 20, 4 x 8, 7 x 8, 7 x 7, 6 x 8, 8 x 9, 11 x 11, 8 x 11 Compensation (define): sharing, adding, removing, decomposition, break apart, factoring 8 x 12 , 11 x 14 , 22 x 19 , 5 x 19, 19 x 32 , 25 x 37 , 30 x 700, 900 x 6000 Value expanded form, Place-value expanded form (pg 232) Table Array Form (pg 240), and Lattice Algorithm (pg 241)
