# Lesson: Apply Divisibility Rules

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### Lesson Objective

SWBAT derive and apply divisibility rules for 2, 3, 4, 6, 9 and 10

### Lesson Plan

Standard

6.NSO.N6 – Apply Number Theory Concepts including prime and composite numbers, prime factorization, greatest common factor, least common multiple, and divisibility rules for 2, 3, 4, 5, 6, 9, and 10.

Aim/Objective:

Key Points

SWBAT name and apply divisibility rules for 2, 3, 4, 5, 6, 9

·         If a number is divisible by another number it means that the number can be divided into the other without a remainder

·         Divisibility rules tell us if there will be a remainder without dividing

·         If a number is divisible by another number than that number is a factor of the number

Assessment:

1.       Mr. Simon gave exactly 3 pencils to each student in the Math Club.

Which of the following could be the total number of pencils he gave to the students in the Math Club?

 A.      13 B.      27 C.      22 D.      31

2.       Farmer Eli collected 66 eggs to sell. He will sell the eggs in baskets. He wants to put the same number of eggs in each basket without any eggs left over. How many eggs could Farmer Eli put in each basket?

 A.      5 B.      9 C.      4 D.      3

Complete the following chart.  Write “yes” or “no” in each box.

 Is the number… 84 510 Divisible by 2? Divisible by 3? Divisible by 4? Divisible by 5? Divisible by 6? Divisible by 9? Divisible by 10?

Lesson

Warm Up:

Using your calculator,

1.       Multiply 5 different numbers by 2.  Write the results below:

____ x 2 = ______

____ x 2 = ______

____ x 2 = ______

____ x 2 = ______

____ x 2 = ______

2.       Multiply 5 different numbers by 5. Write the results below.

____ x 5 = ______

____ x 5 = ______

____ x 5 = ______

____ x 5 = ______

____ x 5 = ______

3.       Multiply 5 different numbers by 10. Write the results below.

____ x 10 = ______

____ x 10 = ______

____ x 10 = ______

____ x 10 = ______

____ x 10 = ______

Lead discussion with class in noticing patterns about the products of numbers multiplied by 2, 5 and 10.

Students should notice that numbers multiplied by 2 are even, by 5 either end in 0s or 5s and by 10 always end in 0.

Opening:

·         Teacher tells students the overview of the unit – this unit we are going to be focusing on learning the different properties about whole numbers.  We are going to learn different things that will help us to understand numbers better and will prepare us to work with factoring and with fractions in the future.

Intro/Direct Instruction:

§  Teacher places notes on board – students copy notes into their journals

o    Define divisibility and give an example – divisibility means that after dividing by this number it will leave no remainder. Tell students if a number is divisble by a number than that number is a factor of the number.

o    Refer to discussion for warm up – when we were multiplying numbers by 2, 5 and 10 earlier and discussing patterns about the products we were able to come up with divisibility rules for the numbers 2, 5 and 10.

o    List the rules of divisibility for 2, 3, 4, 5, 6, 9, and 10

§  2– last digit is even

§  3 – sum of digits is multiple 3

§  4 – last two digits divisible by 4

§  5 – last digit ends in 0 or 5

§  6 – divisible by 2 (even) and by 3 (sum of digits is multiple of 3)

§  9 – sum of digits is multiple of 9

§  10 – last digit ends in 0

o    Walk through example of using the rules to check for divisibility.  Ask a student to choose a 2 digit number for example, and a 3 digit number for example 2.

Guided Practice

·         On note sheet, students should practice the following problems:

o    Is 47 divisible by 3?

o    Is 58 divisible by 6?

o    Is 312 divisible by 9? 10? 5? 6? 4? 3? 2?

Independent Practice

·         Separate students into two groups.

·         Snowball fight – Instruct students to write numbers on post it notes according to the following directions:

o    On TWO post it notes, write a 2 digit number greater than 50

o    On TWO post it notes, write a 3 digit number

o    On ONE post it note, write a 4 digit number

·         Have students crumple up post it notes and snowball fight – by throwing each post it note only once and remaining seated.

·         Instruct students to pick up 5 post it notes and go back to seats. (silently, quickly)

·         Students will open 5 post it notes and test the divisibility of each number (using rules 2, 3, 4, 5, 6, 9 and 10)

·         On sheet of paper students should test each number to see if it’s divisible by 2, 3, 4, 5, 6, 9 and 10

·         Ex:

 Number ____ is/is not divisible by 2 because ___________________________ ____is/is not divisible by 3 because ___________________________

Closing

·         Define divisibility

·         Ask students to share/repeat divisibility rules for each number

·         Students complete exit ticket.

### Lesson Resources

 Exit Ticket Divisibility Rules   Assessment 2,483 CW Applying Divisibility   Classwork 1,464 Apply Divisibility 1,475 divisibility hw 1,310 divisibility harcourt prac 1,118 divisibility reteach harcourt 1,035 U4 L1 Notes Prime Time Divisibility 971

### Comments

katherine ross Posted 5 years ago:
Your lesson was so well thought out, I signed up to betterlesson just so I could tell you. Thank you for posting this! I am really grateful for the resources.
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