1. Math – numbers & quantities + algebra
Praxis Core
Math – numbers & quantities + algebra

2. 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

3. Test at a glance

4. Praxis core
Geometry

5. 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

6. Triangles Triangles – angles, area, perimeter? Special Triangles
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

7. 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

8. 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

9. 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)

10. Praxis core
Probability and statistics

11. 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?

12. probability… Answers will always be between ? And ?
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?

13. Place values and Scientific notation…
What are the place values in the following number?
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 in scientific notation?
What is 9.3 x 10-3 in standard form?
What is 3,521 in scientific notation?

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

15. 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.

16. Practice time
learn.dummies.com