Transcript MathWorkshop

Freshman to Ph.D.
Summer Math Workshop
Melanie Wells
Workshop Facilitator & Math Educator
Helpful Hints
1) Find a way to attack the problem (look for hidden
skills/clues)
2) Stay focused on what you are trying to do
3) 1 minute per problem
4) Eliminate at least 2 choices
5) Don’t worry too much about multiple select items, but
REMEMBER they wouldn’t have made it “multiple select”
if they didn’t want to you select more than 1 answer.
6) Mark and “flag”, but don’t leave any questions blank
 **If a break is offered, take it!
Helpful Hints
1) Don’t stress about the test while taking the stress. Focus on the
test.
2) Did you answer the question? (It’s not always as easy as it looks)
3) If you look at a problem & have no clue how to work it, don’t be
scared to guess & move on. There are many, many more
problems that you DO know how to work. Focus on them.
4) Lastly, remember the purpose of this training is for you to learn.
It’s okay if you miss a problem now, just don’t miss it on the real
test. Always figure out what you did wrong.
Overview of Test
Content Categories
Statistics
Probability
Number
Quantity
Geometry
# of
Questions
% of
Examination
I. Number and
Quantity
17
30%
II. Algebra and
Functions
17
30%
11
20%
11
20%
III. Geometry
Algebra
Functions
IV. Statistics &
Probability
Strands of math




Numbers and Operations
Algebra and Functions
Geometry
Statistics and Probability
Content and practice questions from: ETS study companion and Kirkland, C., & Cleveland, C. (2004). Praxis Core for
Dummies.
Numbers and Quantity
17 questions (30%)





Integers
Numberline
Fractions, decimals, percents
Place value
Ratios & proportions
Algebra and Functions
17 questions (30%)




Variable, expression, equation
Solve equations and inequalities
Graphs
Functions
Variables, Expressions, Equations,
Inequalities




Variables represent an unknown #. (x, m, y, r)
For example: How many rabbits, r,…
xy means multiple (x)(y) or x y
Expressions can be simplified or used to complete a
table:
 2x + 3 + 4x – 1
 6x + 2
Practice Problems
Translating Algebraic Problems
Translating Algebraic Problems
Geometry
11 questions (20%)








Angles
Angle pairs
2D shapes: area & perimeter, degrees
3D shapes: surface area, volume
Pythagorean theorem
transformations
Symmetry
U.S. customary and metric systems
Transformations






Coordinate grid
(X, Y)
Translation
Rotation
Reflection
Dilation
Angles
Less than 90
Exactly 90
More than 90
Exactly 180
Angle Pairs
 Complementary
 2 angles whose sum add
together to equal 90
 Supplementary
 2 angles whose sum add
together to equal 180
Degrees in Triangle &
Quadrilateral
Right Triangles
Pythagorean Theorem
Area & Perimeter
 Square, Rectangle, Triangle, Circle
Circle





Area
Circumference
Diameter
Radius
Pi
3D Shapes
Surface Area
 Surface Area
 Find the area of each face and add them together
3D Shapes
Volume
 Area of the base
x
Height
Statistics and Probability
11 questions (20%)




Read and interpret visual display of information
make inferences
Mean, median, mode, and range
Probability
Mean, Median, Mode, Range
Probability
 Probability is a number from 0 to 1 and can be written as a
fraction, decimal, or percent.
 Part over Total
Last minute tips
 Practice & review on your own
 You should be able to immediately recognize the skill
and form your attack
 Use your hand to remember the major concepts