PRAXIS CORE M AT H – N U M B E R S & Q U A N T I T I E S + ALGEBRA Slideshow and powerpoint viewer: WHAT DO WE ALREADY KNOW ABOUT PRAXIS MATH? • Score to pass in WI: 150 • 56 Questions in 85

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

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 = ½ (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 144π • 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)

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 10-3 in 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 10th staff 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.