PREREQUISITE SKILLS
GEOMETRY
All students taking Geometry (all levels) at Union Catholic must be able to
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Identify angles by their measure
Identify triangles by their angle measures
Find perimeter and circumference of a figure
Find the area of a circle, rectangle, square, parallelogram and triangle
Identify the parts of a right triangle
Identify the parts of a circle
Find area and circumference of a circle
If you do not remember these definitions and formulas we recommend you use the
library or the internet to research the material. Two of our favorite sites are listed
below:
www.aaamath.com/geo.html
www.mathleague.com/help/geometry/geometry.htm
All students taking Geometry (all levels) at Union Catholic must be able to
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Work with integers
Use properties of equality from algebra
Solve simple multi-step equations
Solve simple proportions by cross product
Solve simple proportions involving distributive property
Simplify ratios by reducing fractions
Find the square of a number
Find the square root of a number
Use the table for finding squares and square roots
Use the Pythagorean Theorem
In addition, all students taking Regular or Honors Geometry at Union Catholic will
need the following skills in the first and/or second semester
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Graph Coordinate Pairs
Graph linear equations
Graph systems of linear equations
Solve equations with factoring
Solve quadratic equations using the Quadratic Formula
Use the distance formula and midpoint formula
If you are enrolled in Geometry Accelerated for September
please skip the next page.
In order to review and prepare for both Geometry and the October PSAT, you need
to work through the book, Algebra Success in 20 Minutes a Day, 3rd Edition, by
Barbara Jund. This workbook explains all the topics listed above with the exception
of proportions (If you need to update your knowledge of proportions we suggest the
web site http://www.math.com/school/subject1/lessons/S1U2L2GL.html). There is a
pre-test, post-test and an online practice program as well. It is available through the
UC bookstore and at www.learnatest.com. (ISBN# 978-1-57685-607-9)
The book provides a comprehensive review of the Algebra skill on the PSAT and
certain chapters are necessary for success in Geometry. Below is a list of required
topics for Geometry Basic & Geometry Regular:
Lesson Page
Problems Required
1
Page 18 73-85 odd
2
Page 24 12-30 even
Page 26 41-49 odd
3
Page 30 23-30, 33 & 35-38
4
Page 35 22-38 even
5
Page 41 2-24 even
Page 43 29-35 odd
If you are taking Geometry Regular you need to complete all of the above plus:
Lesson Page
6
Pages 46-50
7
8
14
15
Problems Required
6-10, 12-15, 23-27
& 36-40
Pages 53 & 55
6-8 & 24-27
Pages 60 & 61
13, 15, 20-26 even
Page 64
27, 30, 32, 35
Pages 111 & 112 27-30 & 40
Page 115
12-16
Page 117
24-30
Pages 119 & 120 31, 33, 41 & 44
Page 141
71-85
18
Directions:
1. Keep all of your work in one well organized marble notebook. Copy each
assigned problem into the notebook before attempting to solve it.
2. Your summer assignment will be collected the first day of class and will count
as a quiz grade. Each problem is worth two points. To earn the full two points
you must show all work, use the proper method and have the correct answer.
Partial credit will be awarded, however, NO points will be awarded if there is
no work shown.
3. After a brief review, there will be a test on this material sometime during the
first two weeks of school.
4. There will also be algebra quizzes throughout the year as each topic arises.
** If you can not find the 3rd edition of Algebra Success in 20 Minutes you may use
the 4th edition. Page corrections for the 4th edition will be posted on the school
website.
PREREQUISITE SKILLS
GEOMETRY HONORS
If you are taking Geometry Honors or Accelerated you need to complete the
following:
Lesson Page
5
Page 41/42
Page 43
6
Pages 46-50
8
11
12
15
17
18
Problems Required
2-24 even
29-35 odd
6-10, 12-15, 23-27
& 36-40
Pages 60 & 61
13, 15, 20-26 even
Page 64
27, 30, 32, 35
Pages 88-89
12-17
Page 97
3, 4, 6
Page 100
7, 12, 16, 17
Page 101
22, 24, 26-29
Page 115
12-16
Page 117
24-30
Pages 119 & 120 31, 33, 41 & 44
Page 130
1, 5, 6, 8, 9, 18, 19, 20
Page 131
22, 23
Page 141
71-85
Directions:
1. Keep all of your work in one well organized marble notebook. Copy each
assigned problem into the notebook before attempting to solve it.
2. Your summer assignment will be collected the first day of class and will
count as a quiz grade. Each problem is worth two points. To earn the full
two points you must show all work, use the proper method and have the
correct answer.
3. Partial credit will be awarded, however, NO points will be awarded if there is
no work shown.
4. After a brief review, there will be a test on this material sometime during the
first two weeks of school.
5. There will also be algebra quizzes throughout the year as each topic arises.
Note:
If you are taking the placement test and are not sure of your
level please follow the honors program. No work will be
wasted since it will help you prepare for the SAT and PSAT.
** If you can not find the 3rd edition of Algebra Success in 20 Minutes you may use
the 4th edition. Page corrections for the 4th edition will be posted on the school
website.
Geometry Accelerated
List of Topics & Formulas:
In no particular order
These are the skills that are necessary for success in Geometry Accelerated and beyond. I
recommend that you purchase the workbook listed below for extra practice. Within the
first two weeks of school, after a brief review, there will be a test to evaluate these skills.
Algebra Success in 20 minutes a Day, Third Edition by Barbara Jund. It is available at
your favorite bookstore, the UC bookstore, www.learnatest.com, or www.amazon.com.
(ISBN # 978-1-57685-607-9) There is also an online resource that complements the
workbook.
Some basics:
 Integers
 Order of operations
 Solve a proportion
 Area of a Rectangle
 Fraction Operations
o
Know when a fraction is undefined
Equation Solving:
 Solve a multi-step equation
 Factor and solve
 Solving Squared quantities equations
 Absolute value equations
 Quadratic formula to solve
Inequalities
 Solve inequalities
 Graph solution set
 Compound inequalities
 Absolute value inequalities
Polynomials:
 Add
 Subtract
 Multiply
 Divide by a monomial
 Factor completely
Systems of equations:
 Solve a system by either…
o Elimination Method
o Substitution Method
 Graph a system
Graphing on Coordinate plane:
 Graph a line
 Test if a given point is on the line by
plugging it in to the equation
 Find x & y intercepts
 Changing linear equations
o Standard form
o Slope intercept form
 Write an equation for line passing
through two points
 Writing an equation given a graph
 Parallel lines – writing equations
 Slope intercept form
 Slope formula
 Point-Slope form
 Graph a linear inequality
Radicals and radical expressions:
 Simplifying Radicals
 Add, subtract, multiply and divide
 Rationalize the denominator
Exponents:
 Multiplication & division properties
 Power to a power
 Negative exponents
 Zero exponents
 Multiplication & Division of fractions
with exponent