Engage NY Math Module 1

Engage NY Math Module 2

Lesson 23: Divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients, reasoning about the decomposition of successive remainders in each place value.Divide Decimals6 tens 3 = Say the division sentence in unit form and state the quotient.6 tens 3 = 2 tens Say the division sentence in decimal form and state the quotient.60 3 = 20 Divide Decimals6 tenths 3 = Say the division sentence in unit form and state the quotient.6 tenths 3 = 2 tenths Say the division sentence in decimal form and state the quotient.0.6 3 = 0.2

6 hundredths 3 = Say the division sentence in unit form and state the quotient.6 hundredths 3 = 2 hundredths Say the division sentence in decimal form and state the quotient.0.06 3 = 0.02

Divide Decimals9 thousands 3 = Say the division sentence in unit form and state the quotient.9 thousands 3 = 3 thousands Say the division sentence in decimal form and state the quotient.9,000 3 = 3,000

9 hundreds 3 = Say the division sentence in unit form and state the quotient.9 hundreds 3 = 3 hundreds Say the division sentence in decimal form and state the quotient.900 3 = 300

Divide Decimals9 hundredths 3 = Say the division sentence in unit form and state the quotient.9 hundredths 3 = 3 hundredths Say the division sentence in decimal form and state the quotient.0.09 3 = 0.03

9 tenths 3 = Say the division sentence in unit form and state the quotient.9 tenths 3 = 3 tenthsSay the division sentence in decimal form and state the quotient.0.9 3 = 0.3

Rename Tenths and HundredthsState the following numbers as decimals.1 tenth0.12 tenths0.23 tenths0.38 tenths0.89 tenths0.9Rename Tenths and Hundredths10 tenths111 tenths1.119 tenths1.920 tenths230 tenths380 tenths890 tenths9100 tenths10200 tenths201 hundredth.012 hundredths.023 hundredths.038 hundredths.089 hundredths.0910 hundredths.1020 hundredths.203 hundredths.3090 hundredths.90100 hundredths1200 hundredths2900 hundredths91,000 hundredths102,000 hundredths20State the following numbers as decimals.Divide by Two-Digit NumbersIn your notebooks, solve the following problems. Check your answers with multiplication.650 1640 R 1616 x 40 = 640 + 10 = 650

740 3223 R 423 x 32 = 736 + 4 = 740

890 2732 R 2632 x 27 = 864 + 26 = 8908Application ProblemThe rectangular room measures 224 square feet. One side of the room is 14 feet long. What is the perimeter of the room?Multiples of 1414 -- 128 -- 242 -- 356 -- 470 -- 584 -- 698 -- 7(16 x 2) + (14 x 2) =32 + 28 =60 feetThe perimeter of the room is 60 feet.224 ft.142241-14 84 6 84 0 14 feet?9Concept Development Problem 16,247 29Can we divide 6 thousands by 29?Not without changing them to 60 hundreds

We will think about 62 hundreds, which we can divide into 29 groups. Divide 62 hundreds by 29. Show how to estimate 62 hundreds divided by 29.60 hundreds 30 = 2 hundredsRecord 2 in the hundreds place of the quotient.What is 2 hundreds x 29? 58How many hundreds are remaining?4296,2472-5 8 4 10Concept Development Problem 16,247 29Decompose (regroup those 4 hundreds into 40 tens plus the 4 tens in the whole. How many tens is that?44 tensNow we must divide 44 tens by 20. Show me how you estimate 44 29.30 tens 30 = 1 tenWhat is 1 ten x 29?29 tens44 tens 29 tens is a remainder of?15 tensCan we divide again or must we decompose?We need to decompose 15 tens into 150 ones, plus the 7 ones in our whole.296,2472-5 8 4 4 12 91 511Concept Development Problem 16,247 29Now we have 157 ones divided by 29. How do we estimate 157 29?150 30 = 5What is 5 x 29?145How many are remaining?12What does the 12 represent?How many are left over after dividing 6,247 into 29 groups.Check your answer using multiplication.What is 215 x 29?6,2356,235 + 12= ?6,2472 1 5x 2 9 1 9 3 5+ 4 3 0 02 3 5+ 1 26 2 4 7296,2472-5 8 4 4 12 91 5 751 4 5 1 212Concept Development Problem 16,247 29

13Concept Development Problem 24,289 52Complete this problem in your math journal. Begin by listing your multiples for 52. 8-4 16 1252 4,28 9Multiples of 5252 -- 1104 -- 2156 -- 3208 -- 4260 -- 5 312 -- 6364 -- 7416 -- 8468 -- 9How many 52s are in 428? Use your chart to find the closest multiple without going over.R 25Check your answer by multiplying. 8 2x 5 21 6 4+ 4, 1 0 04, 2 6 4+ 2 54, 2 8 99How many 52s are in 129? Use your chart to find the closest multiple without going over.2- 104 2514Concept Development Problem 24,289 52You can also think about solving this problem by first estimating, solving, and checking with multiplication.

15Concept Development Problem 36,649 63Complete this problem in your math journal. Begin by estimating or listing your multiples for 63.1-6 3363 6,64 9Multiples of 6363 -- 1126 -- 2189 -- 3252 -- 4315 -- 5 378 -- 6441 -- 7504 -- 8567 -- 9How many 63s are in 66? Use your chart to find the closest multiple without going over.R 34Check your answer by multiplying. 1 0 5x 6 33 1 5+ 6, 3 0 06, 6 1 5+ 3 46, 6 4 99How many 63s are in 34? Use your chart to find the closest multiple without going over.0- 315 344How many 63s are in 349? Use your chart to find the closest multiple without going over.516Concept Development Problem 36,649 63You can also think about solving this problem by first estimating, solving, and checking with multiplication.

17Concept Development Problem 43,164 45Solve this problem independently. Do all three steps independently. When you are finished, check your answers with someone at your table. 45 3, 1 6 418End of Lesson ActivitiesDebriefProblem SetHomeworkExit Ticket19Exit Ticket

Problem Set4,859 23

7,242 34

9,152 294,368 52

3,164 45

4,424 63Divide, then check using multiplication.Problem SetMr. Riley baked 1,692 chocolate cookies. He sold them in boxes of 36 cookies each. How much money did he collect if he sold them all at $8 per box?

1,092 flowers are arranged into 26 vases, with the same number of flowers in each vase. How many flowers would be needed to fill 130 such vases?

The elephants water tank holds 2,560 gallons of water. After two weeks, the zookeeper measures and finds that the tank only has 1,934 gallons of water left. If the elephant drinks the same amount of water each day, how many days will a full tank of water last?Homework Task9,962 41

6,691 28

2,409 191,495 45

2,625 32

5,821 62Divide, then check using multiplication.Homework TaskA political gathering in South America held 788 people. Each of South Americas 14 countries were equally represented. The remaining people were guests from the United States. How many guests were from the United States?

A chocolate company is packaging 32 ounces of caramels into reusable, plastic cups. When a shipping box is filled with these caramel packages, it weighs 49 pounds 8 ounces.How many caramel filled cups are in the box?Use your remainder to find the weight of each plastic cup.