october 17, 2019 - transitional mathoctober 17, 2019 sep 2210:30 pm lowest common multiples the...

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October 17, 2019

May 2­2:30 PM

NumbersUnit 2

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October 17, 2019

Sep 22­8:47 PM

In this unit we will be looking at a variety of topics, all to do with numbers! Here is a list of some of the topics you can expect to see throughout the unit!• Multiples• Factors• Fractions (adding, subtracting, multiplying and dividing them)• Exponents

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October 17, 2019

Sep 22­10:13 PM

Multiples

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October 17, 2019

1 x 12

2 x 6

3 x 4

So 12 is a multiple of 1, 2, 3, 4, 6, and 12

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October 17, 2019

Number of Tiles Dimensions of Rectangle __ is a multiple of

1

2

3

4

8

9

10

11

12

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October 17, 2019

Now it's YOUR turn. Each group will be given 25 tiles. Colour doesn't matter. Your task is to determine how many different possible rectangles you can find for each number of tiles. Organize your information on the sheet provided. When you are working through the worksheet, focus on the vocabulary you are using; multiples and factors.

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October 17, 2019

Sep 22­10:15 PM

Multiples are numbers that can be divided evenly by other numbers. Multiples are also the product when two or more factors are multiplied.

Examples: A) 15 is a multiple of 3 and 5, because 3 x 5 = 15

B) 24 is a multiple of 8 and 3, because 8 x 3 = 24

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October 17, 2019

Sep 22­10:17 PM

Determining Multiples

Example: Identify the first five multiples of 7.

7 x 1 =

7 x 2 =

7 x 3 =

7 x 4 =

7 x 5 =

The first five multiples are

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October 17, 2019

Sep 22­10:19 PM

Determine the next three multiples of the following numbers:

4 4, 8, 12, 16, 20, 24, 28, , , ,

9 9, 18, 27, 36, 45, 54, 63, , , ,

12 12, 24, 36, 48, 60, 72, 84, , , ,

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October 17, 2019

Sep 22­10:21 PM

Sets of Multiples

The multiples of a number are represented as sets, lists or groups of numbers.

Example: The first six multiples of 8 are 8, 16, 24, 32, 40, 48.

The set of the first six multiples of 8 is:

8: 8, 16, 21, 32, 40, 48

colonMultiples of 8 in increasing

order from left to right separated by commas

The signsshow that numbers inside belong to a set of numbers

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October 17, 2019

Sep 22­10:26 PM

If a specific number of digits is a set is not asked for, write the set of multiples like this:

The set of multiples of 6 is:

Write three periods to indicate that the pattern continues

Write the first 3 multiples in order

6: 6, 12, 18...

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October 17, 2019

Sep 22­10:30 PM

Lowest Common Multiples

The LOWEST COMMON MULTIPLE (LCM) of a pair of numbers is the smallest multiple that is common to both the numbers.

Follow these steps to find the lowest common multiple of two numbers.

1. List multiples of both numbers in order from least to greatest. List a few at a time for both numbers until the same multiple appears in both lists.

2. Determine the lowest multiple that is the same for both numbers.

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October 17, 2019

Determine the Lowest Common Multiple of 3 and 5: • List the MULTIPLES of each number:

The multiples of 3 are 3, 6, 9, 12, 15, 18, ...

The multiples of 5 are 5, 10, 15, 20, 25, ...

• Find the first COMMON (same) value:

3 6 9 12 15 18

5 10 15

• The lowest common multiple of 3 and 5 is __________

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October 17, 2019

Determine the Lowest Common Multiple of 4 and 5: • List the MULTIPLES of each number:

The multiples of 4 are

The multiples of 5 are

• Find the first COMMON (same) value:

• The lowest common multiple of 4 and 5 is __________

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October 17, 2019

Determine the Lowest Common Multiple of 6 and 7: • List the MULTIPLES of each number:

The multiples of 6 are

The multiples of 7 are

• Find the first COMMON (same) value:

• The lowest common multiple of 6 and 7 is __________

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October 17, 2019

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October 17, 2019

Now Let's Look at Multiples in

WORD PROBLEMS

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October 17, 2019

Sep 22­10:32 PM

Example: If hamburger patties were sold in packages of 6 and buns in bags of 8, how many would we need to buy to have the same number of patties and buns?

Hamburgers (pkg of 6)

Buns (pkg of 8)

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October 17, 2019

Sep 22­10:34 PM

Using Multiples to Solve Problems

Examples:

A) The number 22 bus comes to James' bus stop every 12 minutes. The number 27 arrives every 8 minutes. In how many minutes will both buses arrive at the stop at the same time?

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October 17, 2019

Sep 22­10:36 PM

B) Bonnie rotates the tires on her truck every 8000 km and changes the oil every 5000 km. She will rotate the tires and change the oil the same time after how many kilometers?

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October 17, 2019

Sep 22­10:37 PM

Multiples Assignment