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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?

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 2736

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

263

Homework

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

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

Adding Fractions of Different Denominators

- You will be able to model and understand how to add fractions of different denominators
- 1+1
- 23
- 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

Adding Fractions of Different Denominators

- You will be able to model and understand how to add fractions of different denominators
- 1+1
- 23
- 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

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

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

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.

Write the Subtraction or Addition Statement

- a) _
- b)
- +
- c)
- _

Write the Subtraction or Addition Statement

- a)
- b)
- c)

Write the Subtraction or Addition Statement

- a)
- b)
- c)

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?

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

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

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

Improper Fractions Mixed Numbers

23

=

6

18

=

5

Add Mixed Numbers

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

Add Mixed Numbers

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

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.

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
- the answer?

2

4

1

4

1

4

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

Subtracting Mixed Numbers

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

Subtracting Mixed Numbers

Subtracting Improper Fractions

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

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...

Homework

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