COMMON CORE SMP MATERIALS GROUPING GETTING STARTED Example: 5)167 Solution: H. Develop the division algorithm and reinforce the partitioning model and the place-value concepts associated with division. SMP 4, SMP 5, SMP 6, SMP 7 Pouch: Base Ten Blocks Online: Place-Value Dice (hundreds, tens, and ones) and Place-Value Operations Board Other: Paper squares approximately 15 cm square Work individually or in pairs. Roll the place-value dice to generate a three-digit product (the dividend) and use base ten blocks to construct it on a place-value operations board. Roll the ones die to determine the factor (divisor). The divisor determines the number of paper squares needed to represent the number of groups. number of groups a. Place an equal number of the highest value blocks (flats) on each square. If this is not possible, record a 0 in the hundreds place above the division frame as shown below. Make a 1-for-10 trade with the next lower value block (rods) as shown at the left. In some cases, it may be necessary to make more than one trade. 5)167 b. There are now 16 rods. Place an equal number of rods on each square. What is the value of the rods on each square? Record these results as follows: 030 5) 167 tens 150 17 c. Proceed as shown on the previous page. Make a 1-for-10 trade and share an equal number of unit blocks among the squares. Record the results of the sharing as shown. COO What is the value of the unit blocks on each square? 00 How many blocks remain? the squares?_ Record the final results as follows: When 167 is distributed among 5 groups, there are 33 in each group and 2 left over that cannot be shared (the remainder). Can they be shared equally among 5)167 150 Coo 000 GOD 17 15 DDD 300 D D 3 030 = 33 remainder 2 2 030 5) 167 150 17 units 15 Use the place-value dice to generate a factor (divisor) and a product (dividend) for six problems. Use base ten blocks and the method described above to model the division. Record results as illustrated in the example. EXTENSION Explain the role that regrouping (renaming) of numbers plays in multiplication and division with multi-digit numbers.