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Dividing by 1-Digit Divisors

Dividing by 1-Digit Divisors. Topic 4 EnVision Math. Topic Objectives:. SPI 506.2.3 Select a reasonable solution to a real-world division problem in which the remainder must be considered.

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Dividing by 1-Digit Divisors

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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. Division Notes divisordividendquotientremainder • 733÷ 3 = 244 r 1 • 244 r1 • 2. 3 733 • 3. 733 = 244 r 1 • 3 Steps for solving a Division Problem:

  4. Unit 6 Words • jewel • bundle • poison • control • niece • August • demand • swift • silent • approach • ashamed • coward • slight • weather • odor • remain • announce • release • assume • cruise

  5. Estimate Quotients • Lead a discussion about how to estimate the numbers in the following problems: • http://www.ixl.com/math/grade-5/estimate-quotients-word-problems

  6. Talk with a partner. Decide which of the following responses in each set of responses is most reasonable. Be able to justify your answer.

  7. Since 20 ÷ 6 = 3 r 2, Tetsuo can buy 3 soccer balls with $2 left

  8. 1 quarter, 2 dimes, 1 nickel, 3 pennies

  9. Add this to the note section of your spiral—if you haven’t already done so. Monday, Oct. 10th What are factors? Factors are numbers that are multiplied to get a product. 3 x 10 = 30 Product Factors

  10. 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

  11. 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.

  12. Practice: with a partner, try to come up with the factors of the following numbers: • 25: • 14: • 30: • 6: • 32:

  13. Practice: with a partner, try to come up with the factors of the following numbers: • 25: 1,5,25 • 27: 1,3,9,27 • 30: 1,2,3,5,6,10,15,30 • 6: 1,2,3,6 • 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

  14. Tues., Oct. 11th • BrainPOP | 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 prime/composite numbers.

  15. 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 number’s factors

  16. 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.

  17. Wed., Oct. 12th 1) Discuss: How can you tell when a number is prime or composite? 2) Watch step-by-step lesson: StudyJams- 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

  18. Add to your notes: Now, you try to add another number 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 ***More practice: Pg. 107 WB 78 This is the Prime factorization for 24

  19. Thurs., Oct. 13th • Check WB 78 • Go over “flower project” – see example on next slide—plus, it includes what to do- step-by-step. • Assign students the following numbers:

  20. 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 won’t 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!

  21. Thurs., Oct. 13th Content Mastery • StudyJams- Prime or Composite • Click on “test yourself” • StudyJams- Prime Factorization • Click on “test yourself”

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