december 9, 2014
TRANSCRIPT
Today:
Warm-Up: ( 𝟑𝟐𝟎𝟎
𝟐𝟎𝟎Questions)
Khan Academy Practice
Fractions, Decimals, & Factoring
Class Work
Warm-Up
On three tests, you have scores of 94, 70, and 76. What score do you need on your last test in order to average 83%?
Solve,
𝟐𝟒𝟎 + 𝒙
𝟒
> 83
Write as a simplified fraction & decimal:
3. 3 ÷ 5 5. 6 ÷ 154. 25 ÷ 4 𝟑
𝟓.6 6
𝟏
𝟒6.25
𝟑
𝟓.6
Warm-Up
Adding & Subtracting Mixed Fractions: (3)
x = 31x = 32
x = 36
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. 𝟏
𝟐means “one of two” or “one out of every two.”
This part/whole relationship could actually represent one of two, or it could represent 50/100, 1000/2000 etc.
Vocabulary:
A fraction is defined as a “part – whole” relationship of a
number. 𝟏
𝟐means “one of two” or “one out of every two.”
This part/whole relationship could actually represent one of two, or it could represent 50/100, 1000/2000 etc.
The part/whole relationship is known as a ratio, and is calculated through division.
“One out of every two” as a fraction is 𝟏
𝟐As a decimal, this
relationship is 1 ÷ 2, 2 1 which equals 0.5
Reduce the fraction, if possible, by using prime factorization to find the GCF of:
1. 𝟏𝟒𝟒
𝟏𝟓𝟎2.
𝟏𝟒𝟎
𝟐𝟒𝟓
GCF = 7 x 5 = 35140/35 = 4245/35 = 7
GCF = 2 x 3 = 6144/6 = 24150/6 = 25
Simplify Using GCF: 48x3 y4z56xy5z3
= 24•3•xxx•yyyy•z
= 23•7•x•yyyyy•zzz
= 24•32
= 2•3• 52
6x2
7yz2
Please note: If an expression has a single term, 48x3 y4z56xy5z3
simplifying is accomplished by reducing ;(GCF)
If an expression has more than one term, 3c - 24c - 8simplifying is accomplished by factoring
(GCF again) Simplify by factoring:
6x3y -12x2 + 15x -27xy
And Lastly, simplify by reducing2a + 64a - 12
Factor Practice:
3. Find the GCF of: 16a2b2, 40a2b3, and 56a3b4
1. Simplify: 21x3y2
3xy2. Simplify: 55p2 - 11p4 +44p5
Warm-Up
1. 0.6 = 5
2. 0.14 = 50
?
Write as a simplified improper fraction:
?
Fill in the missing numbers:
7. 4.008 =
? 4. 0.012 = 250
3. 0.016 = 125
?
8. 5.015 = 6. 3.02 = 5. 1.2 =
9. Write four-fifths as a decimal:
Answer in both decimal and fraction form:
10. 0.7 + 0.6 11. 8.21 - 0.31 12. 0.42 - 0.002
x = 5h -9r
5. Solve: 2y + 2 < 11+ 3 < 8 + y
1. Solve for x: rx + 9 = h 5
Write as a decimal:
16. One-tenth of a dollar
17. One-tenth of ninety cents
18. One-tenth of two dollars and seventy cents.
Warm-Up: Wednesday