Notes provide definitions of fractions as parts of a whole and key vocabulary like numerator and denominator. Formulas are given for adding and subtracting fractions with the same or different denominators. An activity has students label fractions on a ruler and solve fraction equations.

1. Wednesday, November 7, 2012
Today:
Final Exam Make-Up
Seating Chart
Multiplication/Division Tests
Final Exam Results
First Quarter Grades
Warm-Up
Fractions/Decimals/Percents

2. Warm-Up:
1. 8(3x) - 12x 2. 4(4x + 3) - 6 3. 2y + 2(x - 4)
4. Solve for x: 6xy - z = -8 5. Solve for z: 6xy - z = -8
10 10
6. Solve for x: -3x + (-3) = 12 7. 4•(- 2) + (4 - 6) + 23
2 15 - 3•6 + 23 - 3
8. 6 - x = 5 9. 6 - 2 = 5
2 x

3. Vocabulary:
Fractions: From the Latin fractiō: a breaking into
pieces, also from the Latin fractus: broken
English Words from the Latin Root Fractus:
fracture, infraction, fragile, frail
Fractions are a SINGLE NUMBER and can be placed on
the number line. All positive proper fractions are a
number between 0 and 1.
A fraction is defined as a “part – whole” relationship of a
number. 3 out of 5 students were girls. The fraction is 3/5

4. Vocabulary:
The denominator "5" represents the whole, and the
numerator "3" represents the part. The original quantity
5 has been "broken" into 2 parts.
Since Fractions are used to show the relationship between
the part and the whole, we don't always know what the
actual quantity is. Example: 4 out of 5 dentist prefer
Trident gum. Does this mean only 5 dentists were asked?
It could. But what if 100 dentists were surveyed? How
many said they prefer Trident?
Because fractions are simplified, we don't always know
what the original quantity is, which isn't the purpose of a
fraction anyway.

5. Formulas & Vocabulary:
Adding & Subtracting Fractions with the same Denominator:
o Simply add the numerators, the denominator stays the same
o Examples: 1/8 + 4/8 = 5/9 - 1/9 =
Adding Fractions with different Denominators:
The formula for adding is: a/b + c/d = ad + cb / bd
Example: 1/5 + 3/8 = 1(8) + 5(3) / 5(8) = 8 + 15 / 40 = 23/40
Subtracting Fractions with different Denominators:
The formula for subtracting is: a/b - c/d = ad - cb / bd
Example: 4/5 - 3/8 = 8(4) - 5(3) / 5(8) = 32 - 15 / 40 = 17/40

6. Class Work: Ruler
A. Label each line of the top ruler with the proper fraction:
B. Answer (simplify) and place the mark on the bottom ruler :
1. 4/32 2. 7/4 - 7/8 3. 4/64 4. 3/4 - 2/16
5. 3/2 - 3/4 6. 3/16 + 2/8 7. 14/32 + 16/32
8. 2/16 ÷ 1/4 9. 6/8 • 1/4 10. 3/4 ÷ 4

7. Class Work: Fraction Worksheets