3rd Quarter
MATHEMATICS
October 9, 2007, Tuesday
Things to do:
1. Check PT
2. Review GCF & LCM
3. Add/Subtract Rationals
GCF - Greatest Common Factor
LCM - Least Common Multiple
Prime Factor Method
example 1:
Get the GCF and LCM of 8 and 12.
8 - 2 * 2 * 2
12 - 2 * 2 * 3
To get the GCF using Prime Factor Method:
1. Bring out the factors of the given numbers
2. Get the common factors of the given numbers
3. Multiply if necessary
GCF: 2 * 2 = 4
To get the LCM using Prime Factor Method:
1. Bring out the factors of the given numbers
2. Get the GCF and multiply it to the remaining uncommon factors of the given numbers.
LCM: 4 * 2 * 3 = 24
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example 2:
Get the GCF and LCM of 21 and 24.
21 - 3 * 7
24 - 2 * 2 * 2 * 3
GCF: 3
LCM: 3 * 2 * 2 * 2 * 7 = 168
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example 3:
Get the GCF and LCM of 3x and 18 x^2
3x - 3 * x
18x^2 - 2 * 3 * 3 * x * x
GCF: 3x
LCM: 3x * 2 * 3 * x = 18x^2
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example 4:
Get the GCF and LCM of x^2-4 and x-2.
x^2-4 - (x-2) (x+2)
x-2 - (x-2)
GCF: (x-2)
LCM: (x-2) (x+2)
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Adding and Subtracting Rationals
1/3 + 1/3 = 2/3
Rule: Make sure they have similar denominators
LCD - Least Common Denominator
example 1:
1/8 + 3/12
get the LCD (getting the LCD is getting the LCM of the dissimilar denominators):
LCD of 8 and 12 is 24.
1. divide the LCD to the 1st dissimilar denominator and multiply to the numerator; that is your numerator and the LCD is now your denominator.
2. do the same to the 2nd dissimilar denominator.
3. Add the fractions with similar denominators.
3 + 6 /24 = 9/24 = 3/8
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Day 2 Tuesday
Lesson: Add + Subtract Rationals
HW 3.1 TRY this
p. 250 a-f
size 2
Day 3 Wednesday
Lesson: Add and Subtracting Rationals
HW 3.2
p. 253 g-k
size 2
Study for Quiz
Day 4 Thursday
Quiz # 3.1
Products + Quotients
HW 3.3
p. 253 #'s 2-20 Even numbers
size 1
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October 10, 2007, Wednesday
October 22-26
Short Bond, Arial, 12
DRAFT
I. Creative Group Name
II. Objectives (min. 3)
III. Topic Outline
IV. Reference
min. 5 (print and non-print)
November 26-28
I. Cover Page
II. Table of Contents
II. Topic/Content
SLE
example (min. 3)
exercises (optional)
IV. References
Criteria:
1. Content (10 pts)
2. Presentation (6 pts)
recommended size: half short bond
neatness
creativity
environmental stewardship (4 pts)
3. References
Total of (20 pts)
Things to do:
1. Discuss Project (25 min.)
2. Check HW (15 min.)
3. 2 examples (20 min.)
examples:
7/(a-b) - 3/(b-a)
*factor it out*
7/(a-b) - 3/-1(a-b)
*multiply -1 to the negative sign, making it positive*
7/(a-b) + 3/(a-b) = 10/(a-b)
October 11, 2007, Thursday
Things to do:
1. Check HW
2. Quiz # 3.1
3. Check Quiz
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