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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&lesson=m6lessonshell07.swf. Common Denominators. What is a common denominator ?. Common Denominators. What is a common denominator ?.

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slide1

Review

Factors – Multiples – Prime Numbers

Learn Alberta

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

slide2

Common Denominators

  • What is a common denominator?
slide3

Common Denominators

  • What is a common denominator?
slide4

Common Denominators

  • What is a common denominator?
slide5

Determine the “Equivalent Fraction”

  • Which of the models below are examples of common denominators?
slide6

Determine the “Equivalent Fraction”

  • Which of the models below are examples of common denominators?
slide7

Equivalent Fractions

Equivalent Fractions

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

slide8

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,...
slide9

Make Equivalent Fractions

  • Make equivalent for the examples below.
  • 1.
  • 2. 1 = 3 = 6 = = 12 = 15
  • 3 9 12 27 36
slide10

Make Equivalent Fractions

  • Make equivalent for the examples below.
  • 1.
  • 2. = = = = =
slide11

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
slide12

Make Equivalent Fractions

Using Pattern Blocks make equivalent fractions for:

142

2 6 3

slide13

Homework

  • Page 234-235:
  • #7a, 8a, 10ab, 11, 12cd, 13ab, 16
  • Extend #19, 20, 21
slide14

Adding Fractions of Different Denominators

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

slide15

Adding Fractions of Different Denominators

  • 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!

New Addition Fraction Statement

slide16

Adding Fractions of Different Denominators

  • 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!

New Addition Fraction Statement

+ 2

6 6

slide17

Adding Fractions of Different Denominators

  • 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!

New Addition Fraction Statement

slide18

Adding Fractions of Different Denominators

  • 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!

New Addition Fraction Statement

slide19

What have you NOTICED???

  • When adding fractions of different denominators the rules are…
slide20

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.
slide21

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.
slide25

Homework

  • Complete pages…
  • Page 242-243
  • #4ab,5ab, 6ab, 8, 9bc, 10bc,
  • 11bc, 13, 14, 15, 18a, 19a
  • Extend #20, 21
slide26

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
slide27

Mixed Numbers

Learn Alberta – Mixed Numbers and Improper Fractions

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

slide28

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?

slide29

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?

slide30

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?

slide31

Add Mixed Numbers

1

4

2

4

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

1

4

2

4

3

4

slide32

Add Mixed Numbers

  • 1 + 1
  • Steps:
  • Add the whole #’s
  • Find Lowest Common Denominators
  • Add the numerators
  • Place the fraction into lowest terms

3

8

4

8

slide33

Add Mixed Numbers (with uncommon fractions)

  • 2 + 4

1

3

2

5

  • Steps
  • Add the whole #’s
  • Find Lowest Common Denominators
  • Add the numerators
  • Place the fraction into lowest terms
slide35

Add Mixed Numbers

  • Steps
  • Add the whole #’s
  • Find Lowest Common Denominators
  • Add the numerators
  • Place the fraction into lowest terms
slide36

Add Mixed Numbers

  • Steps
  • Add the whole #’s
  • Find Lowest Common Denominators
  • Add the numerators
  • Place the fraction into lowest terms
slide37

Add Mixed Numbers

  • 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
  • in addition statements.
slide38

Homework

  • Complete pages…
  • Page 249:
  • # 4ab, 6ac, 8a, 10ef, 11ed, 13,
  • 18 (Good Luck with this one…)
slide39

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
  • the answer?

2

4

1

4

1

4

slide40

Subtracting Mixed Numbers

2

5

1

4

  • 5 2
  • Steps
  • Add the whole #’s
  • Find Lowest Common Denominators
  • Add the numerators
  • Place the fraction into lowest terms
slide41

Subtracting Mixed Numbers

  • Steps
  • Add the whole #’s
  • Find Lowest Common Denominators
  • Add the numerators
  • Place the fraction into lowest terms
slide43

Subtracting Improper Fractions

  • Steps
  • Add the whole #’s
  • Find Lowest Common Denominators
  • Add the numerators
  • Place the fraction into lowest terms
slide44

Subtracting Mixed Numbers

  • In gym class Millz ran 3 3/4 laps. Taylor ran 27/12
  • laps. Who ran further and by how much? Show your
  • work...
slide45

Homework

  • Complete pages…
  • Page 257-258:
  • # 3ac, 4c, 5ef, 6cd, 7c, 8b, 9f, 11, 16, 20
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