SAT Prep: Mathematics LAKESIDE HIGH SCHOOL SPONSORED BY THE PTSA CAROL L. COX.
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Transcript of SAT Prep: Mathematics LAKESIDE HIGH SCHOOL SPONSORED BY THE PTSA CAROL L. COX.
SAT Prep: MathematicsLAKESIDE HIGH SCHOOL
SPONSORED BY THE PTSA
CAROL L. COX
4 step attack
Step 1. Estimate the question’s difficulty
Step 2. Read the question.
Step 3. Skip or do.
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
• Simultaneous Equations• Symbols• Special Triangles• Ratios• Rates• Remainders• Averages• Percents• Multiple and strange figures• Combinations
Linear Functions:
Standard form: Ax + By = CSlope intercept form: y = mx + bPoint slope form:
Quadratic functions:Standard Form: a + bx + c = 0Vertex Form: + k = 0
SLOPE:
Positive Negative HorizontalUndefined
DISTANCE FORMULA
MIDPOINT FORMULA
Examples
p. 77, # 6 p. 78, # 11p. 611, # 13p. 676, #18p. 696, #11P 708, #12, 14
Simultaneous equationsp. 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 onepart 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. 2: 5b. 3: 5c. 2: 3d. 3:2e. 5:2
Ratio problems
Page 391, # 7, 8Page 456, # 3Page 457, # 9Page 458, # 14, 18Page 577, # 10Page 673, #3
Percent: Remember that the whole is 100 %. When you see a percent problem, remember:
• If you are solving for a percent = Percent
• If you need to solve for a partPercent 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,
Example: Page 393, # 13, #14Page 459, #20