B60 — Connecting Multiplication to Division Using the Array
Problem Strings for Fluency and Beyond · Connecting Multiplication to Division using the Array
This string is like B59.
Notice how this string is developed? The problems within the string have been chosen for students to continue to use the multiplication facts they know to solve these problems. The problems will generate a discussion about the relationship between multiplication and division. Keeping the total number of squares within the array constant, the students will notice the relationship between the rows and columns. For example, when comparing the second and third problems, some students will notice that since the number of rows halves, then the number of columns will be double. The last 4 problems allow equivalence and simplification to emerge: 72/6 = 36/3 and 18/2 = 36/4. Allow opportunity to discuss why this is happening.
- 36 squares; 2 rows; how many columns?
- 36 squares; 6 rows; how many columns?
- 36 squares; 3 rows; how many columns?
- 72 squares; 6 rows; how many columns?
- 18 squares; 2 rows; how many columns?
- 36 squares; 4 rows; how many columns?
