Warmup
Get as many problems correct out of 30 problems as you can! Try to go as fast as you can! Then try it again to beat your best number of correct problems and best time!
Activity #1
Division by Partial Quotients Method.
Activity #2
Use the Partial Quotients Method.
(A). Elena used base-ten diagrams to find 372 ÷ 3. She started by representing 372.
(1). Elena’s diagram for 372 has 7 tens. The one for 372 ÷ 3 has only 6 tens. Why?
(2). Where did the extra ones (small squares) come from?
(B). Andre calculated 657 ÷ 3 using a method that was different from Elena’s.
(1). Andre subtracted 600 from 657. What does the 600 represent?
(2). Andre wrote 10 above the 200, and then subtracted 30 from 57. How is the 30 related to the 10?
(3). What do the numbers 200, 10, and 9 represent?
(4). What is the meaning of the 0 at the bottom of Andre’s work?
(5). How might Andre calculate 896 ÷ 4? Explain your reasoning.
Activity #3
Practice Partial Quotient Method.
(1). Here is an incomplete calculation of 534 ÷ 6. Write the missing numbers (marked with “?”) that would make the calculation complete.
(2). Use the partial quotients method to find the quotient.
(3). Use the partial quotients method to find 1,115 ÷ 5.
(4). Use the partial quotients method to find 6655 ÷ 7.
(5). Use the partial quotients method to find 432 ÷ 16.
Challenge #1
Here is one way to find using partial quotients.
Show or explain a different way of using partial quotients to divide 2,105 by 5.
Challenge #2
Here is an incomplete calculation of 534 : 6. Write the missing numbers (marked with “?”) that would make the calculation complete.
Challenge #3