Review Factors – Multiples – Prime Numbers

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Review Factors – Multiples – Prime Numbers. Learn Alberta http://www.learnalberta.ca/content/mesg/html/math6web/index.html?page=lessons&amp;lesson=m6lessonshell07.swf. Common Denominators. What is a common denominator ?. Common Denominators. What is a common denominator ?.

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Review

Factors – Multiples – Prime Numbers

Learn Alberta

http://www.learnalberta.ca/content/mesg/html/math6web/index.html?page=lessons&lesson=m6lessonshell07.swf

Common Denominators

• What is a common denominator?

Common Denominators

• What is a common denominator?

Common Denominators

• What is a common denominator?

Determine the “Equivalent Fraction”

• Which of the models below are examples of common denominators?

Determine the “Equivalent Fraction”

• Which of the models below are examples of common denominators?

Equivalent Fractions

Equivalent Fractions

http://www.learnalberta.ca/content/memg/index.html?term=Division03/Equivalent_Fractions/index.html

Modelling Equivalent Fractions

• How can you make the fraction into more equal parts (a larger, but equal fraction)
• Multiples: the product of a given number and a natural number like 1,2,3,...
• Example: multiples of 2 are 4,6,8,10,...

Make Equivalent Fractions

• Make equivalent for the examples below.
• 1.
• 2. 1 = 3 = 6 = = 12 = 15
• 3 9 12 27 36

Make Equivalent Fractions

• Make equivalent for the examples below.
• 1.
• 2. = = = = =

Make Equivalent Fractions

• Make equivalent for the examples below.
• 1. 4 = = = =
• 5
• 2. 2 = = = =
• 3
• Have you notice a pattern (rule) of equivalent fractions?
• Hint…denominators and numerators

Make Equivalent Fractions

Using Pattern Blocks make equivalent fractions for:

142

2 6 3

Homework

• Page 234-235:
• #7a, 8a, 10ab, 11, 12cd, 13ab, 16
• Extend #19, 20, 21

Multiples

http://www.learnalberta.ca/content/memg/index.html?term=Division03/Multiple/index.html

Common Multiples

http://www.learnalberta.ca/content/memg/index.html?term=Division03/Common_Multiple/index.html

• You will be able to model and understand how to add fractions of different denominators
• 1 + 1
• 2 3
• How can you add the two fractions together if they are NOT equal
• sections (denominators)? Hint…find the lowest common multiple!

• You will be able to model and understand how to add fractions of different denominators
• 1 + 1
• 2 3
• How can you add the two fractions together if they are NOT equal
• sections (denominators)? Hint…find the lowest common multiple!

+ 2

6 6

• You will be able to model and understand how to add fractions of different denominators
• +
• How can you add the two fractions together if they are NOT equal
• sections (denominators)? Hint…find the lowest common multiple!

• You will be able to model and understand how to add fractions of different denominators
• +
• How can you add the two fractions together if they are NOT equal
• sections (denominators)? Hint…find the lowest common multiple!

What have you NOTICED???

• When adding fractions of different denominators the rules are…

What have you NOTICED???

• When adding fractions of different denominators the rules are…
• Both denominators must be the same
• Find the lowest common denominator (multiple)
• The numerators are multiplied by the same # it’s denominator is multiplied by.

What have you NOTICED???

• When adding fractions of different denominators the rules are…
• Both denominators must be the same
• Find the lowest common denominator (multiple)
• The numerators are multiplied by the same # it’s denominator is multiplied by.

Homework

• Complete pages…
• Page 242-243
• #4ab,5ab, 6ab, 8, 9bc, 10bc,
• 11bc, 13, 14, 15, 18a, 19a
• Extend #20, 21

Practical Quiz

• Solve the following by:
• Drawing what it looks like using fractions strips
• What are the new fractions (common denominators)
• 3 + 1 = 1 - 1 =
• 6 6 3

Mixed Numbers

Learn Alberta – Mixed Numbers and Improper Fractions

http://www.learnalberta.ca/content/mesg/html/math6web/index.html?page=lessons&lesson=m6lessonshell02.swf

Mixed Numbers

What is a mixed number?

: contains a whole number with a fraction.

: is the cousin of the improper fraction.

3

6

1

9

6

=

Use pattern blocks to try and prove!!! How did you show this?

Mixed Numbers

What is a mixed number?

: contains a whole number with a fraction.

: is the cousin of the improper fraction.

2

1

2

7

2

2

3

8

3

3

=

=

Use pattern blocks to try and prove!!! How did you show this?

Mixed Numbers

What is a mixed number?

: contains a whole number with a fraction.

: is the cousin of the improper fraction.

2

1

2

7

2

2

3

8

3

3

=

=

How could I draw these mixed numbers! How did you show this?

1

4

2

4

• 1 + 1
• 1 + 1 + + + = 2
• What steps do you think need to be done in order to find

1

4

2

4

3

4

• 1 + 1
• Steps:
• Find Lowest Common Denominators
• Place the fraction into lowest terms

3

8

4

8

Add Mixed Numbers (with uncommon fractions)

• 2 + 4

1

3

2

5

• Steps
• Find Lowest Common Denominators
• Place the fraction into lowest terms

• Steps
• Find Lowest Common Denominators
• Place the fraction into lowest terms

• Steps
• Find Lowest Common Denominators
• Place the fraction into lowest terms

• Xavier got a new job at Perkins. At the start of his shift he
• made 2 ½ chocolate pies for morning deserts. In the
• afternoon he made another 3 1/3 pies. How many pies did
• he make in all...show your work in both an illustration and

Homework

• Complete pages…
• Page 249:
• # 4ab, 6ac, 8a, 10ef, 11ed, 13,
• 18 (Good Luck with this one…)

Subtracting Mixed Numbers

2

4

1

4

• 3 1
• 3 1 + = = 2
• What steps do you think need to be done in order to find

2

4

1

4

1

4

Subtracting Mixed Numbers

2

5

1

4

• 5 2
• Steps
• Find Lowest Common Denominators
• Place the fraction into lowest terms

Subtracting Mixed Numbers

• Steps
• Find Lowest Common Denominators
• Place the fraction into lowest terms

Subtracting Improper Fractions

• Steps
• Find Lowest Common Denominators