5th Grade Module 2 – Lesson 23 Lesson 23: I can divide three and four digit dividends by two digit divisors resulting in two and three digit quotients, reason about the decomposition of successive remainders in each place value. 5th Grade Module 2 – Lesson 23

Say the division sentence in unit form. Divide Decimals Say the division sentence in unit form. 6 tens ÷ 3 = Six tens divided by three equals two tens. 5th Grade Module 2 – Lesson 23

Say the division sentence in unit form. Divide Decimals Say the division sentence in unit form. 6 tenths ÷ 3 = Six tenths divided by three equals two tenths 5th Grade Module 2 – Lesson 23

Say the division sentence in unit form. Divide Decimals Say the division sentence in unit form. 6 hundredths ÷ 3 = Six hundredths divided by three equals two hundredths. 5th Grade Module 2 – Lesson 23

Say the division sentence in unit form. Divide Decimals Say the division sentence in unit form. 9 thousandths ÷ 3 = Nine thousandths divided by three equals three thousandths. 5th Grade Module 2 – Lesson 23

Say the division sentence in unit form. Divide Decimals Say the division sentence in unit form. 9 tenths ÷ 3 = Nine tenths divided by three equals three tenths. 5th Grade Module 2 – Lesson 23

Rename Tenths and Hundredths Say the number as a decimal. 0.1 One tenth 5th Grade Module 2 – Lesson 23

Rename Tenths and Hundredths Say the number as a decimal. 0.2 two tenths 5th Grade Module 2 – Lesson 23

Rename Tenths and Hundredths Say the number as a decimal. 0.3 three tenths 5th Grade Module 2 – Lesson 23

Rename Tenths and Hundredths Say the number as a decimal. 0.8 eight tenths 5th Grade Module 2 – Lesson 23

Rename Tenths and Hundredths Say the number as a decimal. 0.9 nine tenths 5th Grade Module 2 – Lesson 23

Rename Tenths and Hundredths Write the number. 10 tenths = 11tenths = 19 tenths= 20 tenths = 30 tenths = 80 tenths = 90 tenths = 100 tenths = 200 tenths = 5th Grade Module 2 – Lesson 23

Rename Tenths and Hundredths Write the number. 1hundredth = 2 hundredths = 3 hundredths= 8 hundredths = 9 hundredths = 100 hundredths = 200 hundredths = 900 hundredths = 1000 hundredths = 5th Grade Module 2 – Lesson 23

Divide by Two Digit Numbers 650 ÷ 16 Estimate Standard Algorithm 4 R10 650 ÷ 16 16 650 ÷ 20 600 -64 10 30 - 0 10 5th Grade Module 2 – Lesson 23

Divide by Two Digit Numbers 740 ÷ 32 Estimate Standard Algorithm 2 3 R4 740 ÷ 32 32 740 ÷ 30 720 -640 100 24 - 96 4 5th Grade Module 2 – Lesson 23

Divide by Two Digit Numbers 890 ÷ 27 Estimate Standard Algorithm 3 2 R26 890 ÷ 27 27 890 ÷ 30 900 -81 80 30 -54 26 5th Grade Module 2 – Lesson 23

Application Problem The rectangular room measures 224 square feet. One side of the room is 14 feet long. What is the perimeter of the room? Hint… This is a two-step problem. Solution on next slide… 5th Grade Module 2 – Lesson 23

5th Grade Module 2 – Lesson 23 Solution 16 14 224 -14 84 ? (16 x 2) + (14 x 2) = 32 + 28 = 60 ft perimeter 224 ft2 14 -84 5th Grade Module 2 – Lesson 23

6,247 ÷ 29 Standard Algorithm 2 6247 29 -___ 4 58 Concept Development 6,247 ÷ 29 Let’s first use rounding to find an estimated quotient! Standard Algorithm 2 How many hundreds are remaining? 62 hundred – 58 hundred 4 hundred Let’s record that on the standard algorithm So let’s work with 62 hundreds! Divide 62 hundreds by 29. We can use estimation to help us find the closest quotient. Think… 60 hundreds ÷ 30 = 2 hundreds Can we divide 6 thousands by 29? Not without regrouping! 6247 ÷ 17 ≈ 6000 ÷ 30 ≈ 200 On your whiteboard solve 2 hundred x 29 = We will record it under the dividend 6247 29 -___ 4 58 So our quotient is about 2 hundred. Let’s record a 2 in the hundreds place. 5th Grade Module 2 – Lesson 23

6,247 ÷ 29 Standard Algorithm 2 1 5 6247 29 58 4 7 -___ 4 5 -___ 15 29 Concept Development 6,247 ÷ 29 Standard Algorithm 2 1 5 What is 1 ten X 29 = Now we have 157 ones divided by 29. Estimate 157 ÷ 29 150 ÷ 30 = ___ Let’s decompose (regroup) the 4 hundreds into 40 tens plus the 4 tens still left in the dividend. That will give us 44 tens We can bring down the 4 and write it next to the 4 in the hundreds place. Can we divide again or must we decompose? What does the 12 remaining mean? Check the answer on your white board. 6247 29 How much is still remaining? 44 – 29 = ___ Now we must divide 44 tens by 29. Estimate 44 ÷ 29 on your white board 58 4 7 We can’t divide again because the reminder is less than the divisor. We need to decompose 15 tens into 150 ones, plus the 7 ones in our whole, to make 157 ones. -___ 4 5 -___ 15 29 Let’s finish up the problem by using 5. Find 5 x 29 then find the remainder. The best estimation to use is 30 tens ÷ 20 = 1 ten So we can put a 1 in the tens place in the quotient. -___ 12 145 145 5th Grade Module 2 – Lesson 23

Let’s do this one together. First, estimate the quotient. 4,289 ÷ 52 Let’s do this one together. First, estimate the quotient. Solution (use ink tools): 5th Grade Module 2 – Lesson 23

6,649 ÷ 63 Work with your partner to solve for the quotient. Estimate, solve, and check. Solution (use ink tools or display student work): 5th Grade Module 2 – Lesson 23

Solve this problem independently Estimate, solve, and check. 3,164 ÷ 45 Solve this problem independently Estimate, solve, and check. Solution (use ink tools or display student work): 5th Grade Module 2 – Lesson 23

Get Ready to Complete the Problem Set on Your Own! Complete Pages 2.F.55 & 2.F.56 You will have 15-20 minutes to work. Try your Best! 5th Grade Module 2 – Lesson 23

5th Grade Module 2 – Lesson 23 LET’S Debrief What pattern did you notice between 1(e) and 1(f)? Since the quotient was 70 with remainder of 14 for both problems, does that mean the two division expressions are equal? Does the remainder of 14 represent the same thing? When dividing did your estimate need adjusting at times? When? What did you do in order to continue dividing? Compare your quotients in Problem 1. What did you notice in Problem 1 (a, b, and c)? Will a four-digit total divided by a two-digit divisor always result in a three-digit quotient? How does the relationship between the divisor and the whole impact the number of digits in the quotient? 5th Grade Module 2 – Lesson 23

5th Grade Module 2 – Lesson 23 EXIT TICKET Page 2.F.57 5th Grade Module 2 – Lesson 23