Warm Up There are 36 students participating in the math challenge teams this year. There is an even number of teams. The teachers want the greatest number of teams possible with at least 5 students per team. How many teams are there?

Modeling Division with 2-Digit Divisor

Key Vocabulary 42 ÷ 8 = 5 R 2 Divisor Remainder Dividend Quotient Dividend – the number to be divided; the number of items Divisor – the number that divides the dividend; the number of groups Quotient – the number, not including the remainder, that results from dividing; the number of items in each group Remainder – the amount left over when the number cannot be divided evenly Divisor Remainder 42 ÷ 8 = 5 R 2 Dividend Quotient

Mrs. Canton realized she added 2,142 miles to her car’s mileage in two weeks. If she drove the same amount each day, how many miles did she drive on a given day? Discussion: What are we asked to determine in this story problem?

We are going to model solving this problem using Base Ten Pieces = thousands = = hundreds = Remember??!!?? = tens = = ones =

To model this, Joe used base-ten pieces To model this, Joe used base-ten pieces. He started with 2 base-ten cubes (thousands), 1 base-ten flat (hundreds), 4 base-ten rods (tens), and 2 base-ten blocks (ones) (shown here using place value drawings).              

Joe knew Mrs. Canton traveled on 14 days so he has to split the 2,142 miles into 14 groups.

Joe realized that the two thousands could not be divided evenly by the 14 days so he traded them for hundreds.   Now Joe has 21 hundreds, 4 tens and 2 ones.   Joe saw that he could distribute one hundred to each day. Meaning Mrs. Canton drove at least 100 miles a day.

Day 1 Day 2 Day 4 Day 3 Day 5 Day 6 Day 7 Day 8 Day 9 Day 10 Day 11 Day 12 Day 14 Day 13

Now Joe has 7 hundreds, 4 tens and 2 ones to distribute. Joe realized that the 7 hundreds could not be divided evenly by the 14 days so he traded them for tens. Joe saw that he could distribute 5 tens to each day. Meaning Mrs. Canton drove at least 150 miles a day.

Day 1 Day 2 Day 4 Day 3 Day 5 Day 6 Day 7 Day 8 Day 9 Day 10 Day 11 Day 12 Day 14 Day 13

Now Joe has 4 tens and 2 ones. Joe realized that the 4 tens could not be divided evenly by the 14 days so he traded them for ones. Joe knows distributes one to each day until he has distributed all of the ones. He distributes 3 ones to each day and has no ones leftover. This means 42 ÷ 14 = 3.

Day 1 Day 2 Day 4 Day 3 Day 5 Day 6 Day 7 Day 8 Day 9 Day 10 Day 11 Day 12 Day 14 Day 13

Joe checks to see than an equal amount of miles has been distributed to each day and sees that Mrs. Canton drove 153 miles each day.     This means 2,142 ÷ 14 = 153.

How can we check to make sure our quotient is correct? 153 x 14 = 2,142 Open up your Focus Lesson Notebook and find….. Day 8, “2-Digit Divisor Practice” (or use the following slide) 

2-Digit Divisor Practice Directions: Model each problem using base-ten pieces. Record your work in the space provided using place value drawings. Use the other box to check the quotient using multiplication. 935 ÷ 11

2-Digit Divisor Practice Directions: Model each problem using base-ten pieces. Record your work in the space provided using place value drawings. Use the other box to check the quotient using multiplication. 1,230 ÷ 15

2-Digit Divisor Practice Directions: Model each problem using base-ten pieces. Record your work in the space provided using place value drawings. Use the other box to check the quotient using multiplication. 1,504 ÷ 16

2-Digit Divisor Practice Directions: Model each problem using base-ten pieces. Record your work in the space provided using place value drawings. Use the other box to check the quotient using multiplication. 1,932 ÷ 12