PowerPoint Presentation
Warm-UpFractions/Decimals/Percents Percent: Definition, Purpose
& Use Mental Math With Percent Class Work: 2.8--(now 3.1)Due
tomorrowToday:January 19, 2016
Fractions/Decimals & Percent UnitSimplifying Fractions &
Terms GCF (by using prime factorization) Factoring +, -, *,
Fractions Proportions, Ratios, Rates/Unit Rates Converting Between
Fractions, Decimals & Percent % Problems: Solving for the part,
whole and percent Percent mark-up/mark-down Percent changeUnit
Conversions
Warm-Up:
1. Before working this problem, look at/analyze it, then
describe your plan to solve based on what you see in this
particular problem. Be specific, use complete sentences. Do not
solve
yet._______________________________________________________________________________________________________________________.-3n2
+ 7n nBecause there is more than one term, Im going to simplify by
factoring. I will cancel factors from the numerator &
denominator if I can
3. Which fraction must have more than two decimal places? Why??
A.) B.) 2/5 C.) 12/50 D.) 5/6 E.) None
________________________________________
____________________________________________
________________________________________This is not a proportion,
so Ill have to multiplyeach term by the LCD to eliminate the
denominators. Then Ill combine like terms and solve as usual.2.
Same directions for this problem:
Because six does not go evenly into 100.Warm-Up:
1. 10m 15n 5Simplify:2. 20a6b5 35a2b33. 15x2 + 21x6 Warm-Up:
Vocabulary SectionOf Note book
Vocabulary: Fractions: From the Latin fracti: 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.
Vocabulary: The part/whole relationship is known as a ratio, and
is calculated through division.
Decimals: DefinitionOctober was the 8th month and December the
10th and final month until the year 46 bc. when this Roman
Dictator, Military Genius, Conqueror of Lands, Lover of Cleopatra,
& father of Augustus changed the calendar by adding two months
to the year. October?English: Decade, December? A decimal is a
fraction with a denominator that is also a place value.
Decimal: Latin decimalis, meaning tenths. Root is Latin decim,
ten.
Julius Caesar He was....and he added what months?
Percent: From the Latin per centum. Per: for each as in "One per
student. Centum: hundred Century, Cent, Centimeter, Centipede
Percent: Definition100% = 100 = 1 100**Fractions, Decimals, &
Percents are three different ways of expressing the same amount.
All three show a single number based on the relationship (ratio)
between two other numbers.5% = 05 = 1 = .05 100 20
Class Notes SectionOf Note book
Fractions Decimals PercentSince the % sign cannot be +, -, x, ;
numbers expressed as percents must be changed to a decimal or
fraction before any calculations can be made.A. How to change a
decimal to a percent:?
B. How to change a percent to a decimal:?
C. How to change a fraction to percent, or percent to fraction?
Move the decimal 2 places to the right and add the % sign.Move the
decimal 2 places to the left and drop the % sign.To change a
fraction to percent, or percent to fraction, the number must be
changed to a decimal first.
Fractional Conversions:
FractionDecimalPercent0.5500.3333.30.25250.20200.1616.70.1428571140.12512.50.11110.099
Mental Math:Percent of a NumberA. 10% of $1.00 is .1, or To find
20% of any number, multiply by 2 and move the decimal one place to
the left. To find 20% of a number, you could multiply a number by
what fraction?B. 20% is what fraction?.220% of 40 is.. 8 The easier
way, though, is to multiply a number by the decimal form of 20%,
which is.... To find 10%, simply move the decimal one place to the
left.
Mental Math:Percent of a NumberFind 10% using mental mathFind
20% using mental mathFind 15% using mental math1) 203) 42.11) 104)
1201) 103) 603) 604) 380Find 5% using mental math4) 1601) 103) 604)
1252) 252) 202) 202) 3.5
Class Work:This assignment is due no later than Thursday of this
week.
Please note: If an expression has a single term, 48x3 y4z
56xy5z3simplifying is accomplished by reducing ;(GCF) If an
expression has more than one term, 3c - 24 c - 8simplifying is
accomplished by factoring (GCF again)Simplify by factoring: 6x3y
-12x2 + 15x -27xysimplify by factoring2a + 64a - 12Factoring by
Finding the GCF
Factoring by Finding the GCFReduce the fraction, if possible, by
using prime factorization to find the GCF of: GCF = 7 x 5 =
35140/35 = 4245/35 = 7 GCF = 2 x 3 = 6144/6 = 24150/6 = 25 Simplify
Using GCF: 48x3 y4z 56xy5z3 = 243xxxyyyyz = 237xyyyyyzzz = 2432 =
23 52
6x2 7yz2
2 3 = x_ 18
