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1 Dividing by 1-Digit Divisors Topic 4 EnVision Math 2 Topic Objectives: SPI 506.2.3 Select a reasonable solution to a real-world division problem in which the remainder must be considered. SPI 506.2.4 Solve problems involving the division of two- and three-digit whole numbers by one- and two- digit whole numbers. SPI 506.2.2 Write the prime factorization of numbers through 50 using both exponential and standard notation. 3 divisor dividend quotient remainder 1.733 ÷ 3 = 244 r 1 244 r1 2. 3 733 3. 733 = 244 r 1 3 Steps for solving a Division Problem: Division Notes 4 Unit 6 Words 1.jewel 2.bundle 3.poison 4.control 5.niece 6.August 7.demand 8.swift 9.silent 10.approach 11.ashamed 12.coward 13.slight 14.weather 15.odor 16.remain 17.announce 18.release 19.assume 20.cruise 5 6 7 8 Estimate Quotients Lead a discussion about how to estimate the numbers in the following problems: http:-5estimate- quotients-word-problemshttp:-5estimate- quotients-word-problems 9 Talk with a partner. Decide which of the following responses in each set of responses is most reasonable. Be able to justify your answer. 10 11 12 Since 20 ÷ 6 = 3 r 2, Tetsuo can buy 3 soccer balls with $2 left 13 14 1 quarter, 2 dimes, 1 nickel, 3 pennies 15 What are factors? Factors are numbers that are multiplied to get a product. 3 x 10 = 30 Factors Product Add this to the note section of your spiral—if you havent already done so. Monday, Oct. 10th 16 What are the factors for 12 ? (*How many different combinations can you come up with that, when multiplied together, equals 12?) 1 x 12 = 12 2 x 6 = 12 3 x 4 = 12 So, all of the factors of 12 are: 1,2,3,4,6,12 17 What are the factors of 20 ? 1 x 20 = 20 2 x 10 = 20 4 x 5 = 20 The factors of 20 are: 1,2,4,5,10,20 Notice that your smallest factor will always be 1 and your biggest factor will be # that you are finding the factors of. 18 Practice: with a partner, try to come up with the factors of the following numbers: 1)25: 2)14: 3)30: 4)6: 5)32: 19 Practice: with a partner, try to come up with the factors of the following numbers: 1)25: 1,5,25 2)27: 1,3,9,27 3)30: 1,2,3,5,6,10,15,30 4)6: 1,2,3,6 5)32: 1,2,4,8,16,32 Notice that the #5 only appears once even though the fact is 5 x 5 = 25 Practice on your own: WB 75, 76, or pg. 103 20 Tues., Oct. 11 th BrainPOP | Math | Learn about Prime NumbersBrainPOP | Math | Learn about Prime Numbers Remember to stop the Brain Pop when it starts talking about Euclid. Next slide= students add notes (glue) into spiral for primecomposite numbers. 21 Prime and Composite #s Prime Numbers- whole numbers that are greater than 1 and have exactly two factors- 1 and itself examples- 2, 5, 13….you add two more examples on your own Composite Numbers- whole numbers that have more than two different factors. examples (with their factors) 4 = 1, 2, 4 12 = 1, 2, 3, 4, 6, 12 15 = 1, 3, 5, 15 you add one more number including the numbers factors 22 Use TE pg. 106B for answers Fill in answers using Interwrite Board Do #2-10 together, Then, have students do #11-20 on their own or with partner-- then check answers together. Add this sheet to their spiral- glue, tape, or staple in after it has been Filled out. 23 Wed., Oct. 12 th 1) Discuss: How can you tell when a number is prime or composite? 2) Watch step-by-step lesson: StudyJams- Prime FactorizationStudyJams- Prime Factorization Do not click on test yourself because we will do these questions during content mastery on Thurs. 3) Add Prime Factorization notes (glue into) your spiral 24 Add to your notes: Prime Factorization- Writing a number as the product of its prime numbers. Step 1- Create a factor tree and break down a number until all that is left are prime numbers. Step 2- Then, write the prime factorization using exponents if possible. Example: 24 2 12 3 4 2 2 2 x 3 x 2 x 2 2³ x 3 This is the Prime factorization for 24 Now, you try to add another number ***More practice: Pg. 107 WB 78 25 Thurs., Oct. 13 th 1)Check WB 78 2)Go over flower project – see example on next slide—plus, it includes what to do- step-by-step. 1)Assign students the following numbers: 3233343649 508101264 26 You will be assigned a #. Write this number in the center of your flower. Then, create a factor tree of your assigned number starting at the stem- breaking the number down into its prime numbers. (this will look like the roots of the flower). You may want to find the prime factorization of your number on a sheet of paper before you write on your flower sheet…because if you mess up, you wont get another sheet. When you have broken the number down into its prime numbers then: Write the prime numbers at the top of the flower (in expanded form) Write the prime numbers in exponents (if possible) at the bottom of the flower. Glue and fill out the grading rubric on the back of your sheet. Turn it in and work on the homework. Homework: Pg. 118 – Set G #1-4 Pg. 119- Set H #1-6 and quiz tomorrow! 27 Content Mastery StudyJams- Prime or Composite Click on test yourself StudyJams- Prime Factorization Click on test yourself Thurs., Oct. 13 th
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