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.

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.

divisor

dividend

quotient

remainder

1. 733 ÷ 3 = 244 r 1 244 r12. 3 733

3. 733 = 244 r 1 3

Steps for solving a Division Problem:

Division Notes

Unit 6 Words1. jewel2. bundle3. poison4. control5. niece6. August7. demand8. swift9. silent10. approach11. ashamed12. coward13. slight14. weather15. odor16. remain17. announce18. release19. assume20. cruise

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

Talk with a partner.Decide which of the following responses in each set

of responses is most reasonable.Be able to justify your answer.

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

1 quarter, 2 dimes, 1 nickel, 3 pennies

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 haven’t already done so.

Monday, Oct. 10th

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

What are the factors of 20 ?

1 x 20 = 20

2 x 10 = 20

4 x 5 = 20

The factors of 20 are: 1,2,4,5,10,20Notice that your smallestfactor will always be 1 and your biggest factorwill be # that you are findingthe factors of.

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:

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

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.

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

Use TE pg. 106B for answersFill in answers using

Interwrite Board

Do #2-10 together, Then, have students do #11-20on 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.

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

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 thePrime factorization for 24

Now, you try to add another number

***More practice:Pg. 107WB 78

Thurs., Oct. 13th

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:

14 15 18 22 27 30

32 33 34 35 36 38

40 42 44 45 46 49

50 8 10 12 6 4

•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 #1-4Pg. 119- Set H #1-6 and quiz tomorrow!

Content Mastery

• StudyJams- Prime or Composite• Click on “test yourself”

• StudyJams- Prime Factorization• Click on “test yourself”

Thurs., Oct. 13th