Transcript Slide 1

Review
Factors – Multiples – Prime Numbers
Learn Alberta
http://www.learnalberta.ca/content/mesg/html/math6web/index.html?page=lessons&l
esson=m6lessonshell07.swf
Common Denominators
What is a common denominator?
Definition
-a common multiple of the
fractions denominators
Fraction
Fraction
1/3
1/2
Or
-Making equivalent fractions
with the same denominator
(common)
Multiples of 3
Multiples of 2
Common Denominators
•
What is a common denominator?
Definition
-a common multiple of the
fractions denominators
Fraction
Fraction
2/5
3/4
Or
-Making equivalent fractions
with the same denominator
(common)
Multiples of 5
Multiples of 4
Common Denominators
•
What is a common denominator?
Definition
-a common multiple of the
fractions denominators
Fraction
Fraction
5/8
1/6
Or
-Making equivalent fractions
with the same denominator
(common)
Multiples of 8
Multiples of 6
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_Fr
actions/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:
1
2
4
6
2
3
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/inde
x.html
Adding Fractions of Different Denominators
•
You will be able to model and understand how to add fractions
of different denominators
1
2
+
1
3
New Addition Fraction
Statement
How can you add the two fractions together if they are NOT equal
sections (denominators)? Hint…find the lowest common multiple!
Adding Fractions of Different Denominators
•
You will be able to model and understand how to add fractions
of different denominators
1
2
+
1
3
New Addition Fraction
Statement
3 + 2
6
6
How can you add the two fractions together if they are NOT equal
sections (denominators)? Hint…find the lowest common multiple!
Adding Fractions of Different Denominators
•
You will be able to model and understand how to add fractions
of different denominators
+
New Addition Fraction
Statement
How can you add the two fractions together if they are NOT equal
sections (denominators)? Hint…find the lowest common multiple!
Adding Fractions of Different Denominators
•
You will be able to model and understand how to add fractions
of different denominators
+
New Addition Fraction
Statement
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…
1.
2.
3.
Example 1
1 + 1
2
3
Example 2
Example 3
=
3 + 2 2 + 1
6
6 4
2
=
2 + 2 1 + 1
4
4 4
3
=
3 + 4
12 12
=
5
6
=
4
4
=
7
12
What have you NOTICED???
When adding fractions of different denominators the rules are…
1. Both denominators must be the same
2. Find the lowest common denominator (multiple)
3. The numerators are multiplied by the same # it’s denominator is
multiplied by.
Example 1
Example 2
Example 3
1 + 1
2
3
=
3 + 2 2 + 1
6
6 4
2
=
2 + 2 1 + 1
4
4 4
3
=
3 + 4
12 12
=
5
6
=
4
4
=
7
12
What have you NOTICED???
When adding fractions of different denominators the rules are…
1. Both denominators must be the same
2. Find the lowest common denominator (multiple)
3. The numerators are multiplied by the same # it’s denominator is
multiplied by.
Example 1
Example 2
Example 3
2 + 1
5
3
=
=
1 + 2
4
6
=
=
3 + 1
8
4
=
=
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:
1.
Drawing what it looks like using fractions strips
2.
What are the new fractions (common denominators)
3 + 1 =
6 6
1 - 1 =
3
Mixed Numbers
Learn Alberta – Mixed Numbers and Improper Fractions
http://www.learnalberta.ca/content/mesg/html/math6web/index.html?pag
e=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.
1
3 =
6
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.
3
1 = 7
2
2
2
2 = 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.
3
1 = 7
2
2
2
2 = 8
3
3
How could I draw these mixed numbers! How did you show this?
Add Mixed Numbers
1
1+1
1
4
+
1
2
4
1
2
3
++ +
=2
4
4
4
What steps do you think need to be done in order to find
the answer?
Add Mixed Numbers
3
4
1 + 1
8
8
Steps:
1. Add the whole #’s
2. Find Lowest Common Denominators
3. Add the numerators
4. Place the fraction into lowest terms
Add Mixed Numbers (with uncommon
fractions)
2
1.
2.
3.
4.
Steps
Add the whole #’s
Find Lowest Common
Denominators
Add the numerators
Place the fraction into
lowest terms
1
+
3
4
2
5
Improper Fractions
23
=
6
18
=
5
Mixed Numbers
Add Mixed Numbers
1.
2.
3.
4.
Steps
Add the whole #’s
Find Lowest Common
Denominators
Add the numerators
Place the fraction into
lowest terms
Add Mixed Numbers
1.
2.
3.
4.
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
3
3 1
1
2
4
2+
4
1
4
1= = 2 1
4
4
What steps do you think need to be done in order to find
the answer?
Subtracting Mixed Numbers
5
1.
2.
3.
4.
Steps
Add the whole #’s
Find Lowest Common
Denominators
Add the numerators
Place the fraction into
lowest terms
2
5
2
1
4
Subtracting Mixed Numbers
1.
2.
3.
4.
Steps
Add the whole #’s
Find Lowest Common
Denominators
Add the numerators
Place the fraction into
lowest terms
Subtracting Mixed Numbers
Subtracting Improper Fractions
1.
2.
3.
4.
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