Long Division Using the Standard Algorithm 1 Warm

Long Division: Using the Standard Algorithm 1

Warm Up LESSON OBJECTIVE: SWBAT identify the parts of division problems in various forms, and explain and apply multi-digit division using the standard division algorithm LANGUAGE OBJECTIVE: SWBAT discuss long division algorithm using correct vocabulary On a school field trip, your class followed a treasure map and found a buried treasure! Imagine that your class has 25 students total, and that there were 1000 gold coins in the treasure chest. How many coins does each student get? Express your answer in three different ways. Agenda 2

Warm Up We found 1000 gold coins, and need to divide them equally between the 25 students in our class. Express the problem in three ways. 1000 = 25 1000 ÷ 25 = _____ 25) 1000 Agenda 3

Warm Up So how many coins does each student get? 1000 = 25 1000 ÷ 25 = _____ 25) 1000 We’ll check back on this problem in a little while! Agenda 4

Launch Remember: An algorithm is a formula or a set of steps for solving a problem. Some strategies aren’t efficient when solving a division problem. SO… let’s take a look at the steps to solving the Long division algorithm! Be ready to share the four steps with your partner! Agenda 5

Launch http: //www. youtube. com/watch? v=0 u. Ziqk_Zdc. A Agenda 6

Launch With your partner, list the three ways to express the clam’s division problem. Agenda 7

Launch With your partner, list the three ways to express the clam’s division problem: FRACTION NUMBER SENTENCE LONG DIVISION ALGORITHM Agenda 8

Launch How many steps are there in the long division algorithm? Agenda 9

Launch How many steps are there? Agenda 10

Explore DIVIDE MULTIPLY SUBTRACT BRING DOWN Agenda 11

Explore Let’s apply the steps to long division to a new problem: 84 ÷ 6 = ? Agenda 12

Explore Set up the problem: 84 ÷ 6 = ? in the long division algorithm looks like which of the options below? CHOICE A CHOICE B CHOICE C ? 84 6)? 84 ? )6 6) 84 6 =? 84 84 = ? 6 ✗ ✗ Agenda 13

Explore STEP ONE: DIVIDE 1 8÷ 6= Follow along with the Guided Practice Worksheet! 1 We divide the dividend by the divisor. Agenda 14

Explore STEP TWO: MULTIPLY 6 6 x 1= 6 We multiply Agenda 15

Explore STEP THREE: SUBTRACT 2 8– 6= 2 We subtract Agenda 16

Explore STEP FOUR: BRING DOWN 4 We bring the 4 down Agenda 17

Explore NOW WHAT? ? ? Agenda 18

Explore STEP ONE: DIVIDE 4 24 ÷ 6 = 4 We divide Agenda 19

Explore STEP TWO: MULTIPLY 24 6 X 4= 24 We multiply Agenda 20

Explore STEP THREE: SUBTRACT 0 24 – 24 = 0 We subtract Agenda 21

Explore STEP FOUR: BRING DOWN There is no number to bring down – we’re almost DONE! Agenda 22

Explore Don’t forget to check your answer! The opposite of 84 ÷ 6 = 14 is 6 X 14 = Agenda 23

Explore Checking your answer 14 x 6 84 Agenda 24

Practice 1 Let’s try one more problem – try it alone and we’ll review it together! 144 ÷ 12 = ? What do these number sentences look like in the long division algorithm? 144 =? 12) 144 Agenda 25

Practice 1 STEP ONE: DIVIDE 1 14 ÷ 12 = 1 What are we dividing? We are dividing the dividend by the divisor. Agenda 26

Practice 1 STEP TWO: MULTIPLY 12 12 X 1 = 12 We multiply Agenda 27

Practice 1 STEP THREE: SUBTRACT 2 14 – 12 = 2 We subtract Agenda 28

Practice 1 STEP FOUR: BRING DOWN 4 We bring down Agenda 29

Practice 1 NOW WHAT? ? ? Agenda 30

Practice 1 STEP ONE: DIVIDE 2 24 ÷ 12 = 2 We divide the dividend by the divisor. Agenda 31

Practice 1 STEP TWO: MULTIPLY 24 12 x 2 = 24 We multiply Agenda 32

Practice 1 STEP THREE: SUBTRACT 24 - 24 = 0 0 We subtract Agenda 33

Practice 1 STEP FOUR: BRING DOWN There is no number to bring down – we’re almost done! Agenda 34

Practice 1 Don’t forget to check your answer! The opposite of 144 ÷ 12 = 12 is 12 X 12 = Agenda 35

Practice 1 Checking your answer 12 x 12 144 Agenda 36

Summary 1. How many steps are there to the long division algorithm? What are they? 2. What is the trick the video taught us to remember the steps? 3. Is there anything confusing about using the long division algorithm? Agenda 37

Practice 2 Agenda 38

Exit Ticket So how many coins does each student get? 1000 = 25 1000 ÷ 25 = _____ 25) 1000 Show your work using the long division algorithm. Agenda 39

Exit Ticket So how many coins does each student get? Each student gets gold coins! 40 Agenda 40

Assessment Agenda 41