Transcript SAT Prep: Mathematics

SAT Prep:
Mathematics
LAKESIDE HIGH SCHOOL
SPONSORED BY THE PTSA
CAROL L. COX
4 step attack
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Step 1. Estimate the question’s difficulty
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Step 2. Read the question.
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Step 3. Skip or do.
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Step 4. Look for the fastest approach.
PLAN for the next 3 sessions:
Review the basics of Algebra 1, Geometry, and Algebra 2
Go over SAT specific topics
SAT strategies
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Simultaneous Equations
Symbols
Special Triangles
Ratios
Rates
Remainders
Averages
Percents
Multiple and strange figures
Combinations
Linear Functions:
Standard form: Ax + By = C
Slope intercept form: y = mx + b
Point slope form: 𝑦 − 𝑦1 = 𝑚( 𝑥 − 𝑥1 )
Quadratic functions:
Standard Form: a𝑥 2 + bx + c = 0
Vertex Form: 𝑎(𝑥 − ℎ)2 + k = 0
SLOPE:
Positive
𝑦2 − 𝑦1
𝑥2 − 𝑥1
=𝑚
Negative
DISTANCE FORMULA
𝑑=
(𝑥2 − 𝑥1 )2 + (𝑦2 − 𝑦1 )2
MIDPOINT FORMULA
𝑥, 𝑦 =
𝑥1 + 𝑥2 𝑦1 + 𝑦2
,
2
2
Horizontal
Undefined
Examples
p. 77, # 6
p. 78, # 11
p. 611, # 13
p. 676, #18
p. 696, #11
P 708, #12, 14
Simultaneous equations
p. 390, #1
Rate, ratios, and proportions
Make sure you read carefully and understand what
the question is asking:
Part to part: gives you the whole number and one
part number. You need to find the other part.
Part to whole: give you the parts and not the whole.
Remember, the whole is the sum of the parts.
It was recently estimated by the Extraterrestrial
Alien Monitoring Agency, that unregistered
extraterrestrials outnumber registered ones by
about six-to-five. If there are a total of 2,002
extraterrestrials, about how many of them are
registered?
Out of every 50 CDs produced in a certain
factory, 20 are scratched. What is the ratio of
unscratched CDs produced to scratched CDs
produced?
a.
b.
c.
d.
e.
2: 5
3: 5
2: 3
3:2
5:2
Ratio problems
Page 391, # 7, 8
Page 456, # 3
Page 457, # 9
Page 458, # 14, 18
Page 577, # 10
Page 673, #3
Percent: Remember that the whole is 100 %.
When you see a percent problem, remember:
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If you are solving for a percent
𝑷𝒂𝒓𝒕
= Percent
𝑾𝒉𝒐𝒍𝒆
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If you need to solve for a part
Percent x Whole = Part
Examples:
page 393, # 15 and 16
Page 577, #9
If the percent goes up and down in a problem,
start with 100 and track the changes through
the problem.
Example:
page 457, # 7, #16
Rates: A rate is a ratio that compares quantities
represented by different units.
Picking numbers to and back solving can work
well for these kind of problems.
Example: page 392, #9 If David paints at the rate
of h houses per day, how many houses does he
paint in d days?
Rate Examples
Page 457, #10, #11
Averages: On the SAT, there is usually a spin to
the typical average problem. Just remember…
formula,
𝑠𝑢𝑚 𝑜𝑓 𝑡𝑒𝑟𝑚𝑠
𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑡𝑒𝑟𝑚𝑠
Example:
Page 393, # 13, #14
Page 459, #20