Freshman to Ph.D. Summer Math Workshop Melanie Wells Workshop Facilitator & Math Educator

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. Helpful Hints

Overview of Test Content Categories# of Questions % of Examination I. Number and Quantity1730% II. Algebra and Functions1730% III. Geometry 1120% IV. Statistics & Probability1120% Number Quantity Algebra Functions Geometry Statistics Probability

 Numbers and Operations  Algebra and Functions  Geometry  Statistics and Probability Strands of math Content and practice questions from: ETS study companion and Kirkland, C., & Cleveland, C. (2004). Praxis Core for Dummies.

 Integers  Numberline  Fractions, decimals, percents  Place value  Ratios & proportions Numbers and Quantity 17 questions (30%)

 Variable, expression, equation  Solve equations and inequalities  Graphs  Functions Algebra and Functions 17 questions (30%)

 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 x – 1  6x + 2 Variables, Expressions, Equations, Inequalities.

Practice Problems

Translating Algebraic Problems

 Angles  Angle pairs  2D shapes: area & perimeter, degrees  3D shapes: surface area, volume  Pythagorean theorem  transformations  Symmetry  U.S. customary and metric systems Geometry 11 questions (20%)

 Coordinate grid  (X, Y)  Translation  Rotation  Reflection  Dilation Transformations

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

 Square, Rectangle, Triangle, Circle Area & Perimeter

 Area  Circumference  Diameter  Radius  Pi Circle

 Surface Area  Find the area of each face and add them together 3D Shapes Surface Area

 Area of the base x Height 3D Shapes Volume WRONG

 Read and interpret visual display of information  make inferences  Mean, median, mode, and range  Probability Statistics and Probability 11 questions (20%)

Mean, Median, Mode, Range

 Probability is a number from 0 to 1 and can be written as a fraction, decimal, or percent.  Part over Total Probability

 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 Last minute tips