Mathematics Fundamentals for Praxis Core Exam

PRAXIS CORE MATH NUMBERS & QUANTITIES + ALGEBRA

WHAT DO WE ALREADY KNOW ABOUT PRAXIS MATH? Score to pass in WI: 150 56 Questions in 85 Minutes MCQs, Choose all answers that apply, OR Enter a Response Calculators Four Types of Questions Numbers and quantities Algebra Geometry Probability and statistics

TEST AT A GLANCE

PRAXIS CORE GEOMETRY

GEOMETRY Know vocabulary (and apply that vocab), lines, triangles, squares, rectangles, circles Congruence? Symbol for congruence? Equal How is congruent different than similar? Use to describe angles or segments of line Angles Congruent Angles Acute Angles Obtuse Angles Right Angles Complementary Angles Supplementary Angles Linear Angles Vertical Angles Formed by two intersecting lines Always Congruent

TRIANGLES Triangles angles, area, perimeter? Internal angles always add up to 180 Area = (b x h) Perimeter = add length of three sides Special Triangles All sides equal? Two sides equal? With a 90 degree angle? Right Triangles What do you know? Has an angle of 90 degrees The side opposite of the 90 degree angle is always the longest The other two angles must add up to 90 degrees ALWAYS think Pythagorean Theorem. Pythagorean Theorem a2+ b2= c2 The hypotenuse is always c

QUADRILATERALS Quadrilaterals What are they? squares Rectangles Trapezoid two parallel sides What is the sum of the interior angles? Area of squares and rectangles? Area = Length x width Perimeter of squares and rectangles? Add the sides

CIRCLES Define the following: radius diameter area Circumference Angles that cut up a circle will always add up to? Find the radius of a circle that has an area of 144 Find the circumference of a circle that has a radius of 3 cm

LINES What is the equation for a line? y=mx+b What is b? What is m? Write the equation for the line that has the points (7,2) and (5,-4). Distance Formula What is it? When do we use it? Find the distance between (5,4) and (3,2). Midpoint Formula What is it? When do we use it? Find the midpoint between (5,4) and (3,2)

PRAXIS CORE PROBABILITY AND STATISTICS

GRAPHS AND TABLES Bar Graph, Line Graph, Circle/Pie Graph Be able to work with graphs Be able to identify trends As x increases, what happens to y?

PROBABILITY Answers will always be between ? And ? 0 and 1 Be careful with AND and OR. There are five red marbles, six blue marbles, and 10 white marbles. What is the probability that we will pull a blue marble out of the bag? There are five red marbles, six blue marbles, and 10 white marbles. What is the probability that we will pull either a red or a blue marble out of the bag? There are five red marbles, six blue marbles, and 10 white marbles. What is the probability that we will pull a blue marble out of a bag on the first draw and a red marble out on the second draw?

PLACE VALUES AND SCIENTIFIC NOTATION Place Values What are the place values in the following number? 3684.26 Scientific Notation Which of these is NOT in scientific notation? Why? 1.2 x 103;5.3 x 109;2.0 x 100;10 x 102 What is .01096 in scientific notation? What is 9.3 x 10-3in standard form? What is 3,521 in scientific notation?

MEAN, MEDIAN, MODE Define each of the terms Mean Median Mode Find the mean, median and mode of the following set of numbers: 5,19, 2, 10, 11, 19 Mean = 11 Median = 15 Mode = 19

TAKING A SURVEY Look for the least BIAS Which of these is the best way to learn how UWSP staff feel about Wisconsin weather? Interview 20 geology professors at a department meeting. Stand outside on a -20 degree day and ask a group of staff members who are making snowmen. Ask every fifth staff member who enters a UWSP building until you have asked 100 people. Ask every 10thstaff member who is standing by a heater in the basement of the library until you have asked 25 people. Ask every fifth staff member who enters the DUC until you have 10 people.

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