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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