Geometry PAP: Summer Preparation Packet- 1
George Ranch High School
Geometry PAP
Summer
Prep
Packet
2016
Geometry PAP: Summer Preparation Packet- 2
Name: ____________________________________________
Hello and welcome to Pre-AP Geometry! In order to be successful in a Pre-AP Geometry course
at the high school level, a student needs to be proficient with the material covered in Algebra I.
This packet highlights those skills obtained in Algebra I that are used most often in Pre-AP
Geometry as well as basic geometry topics learned in middle school math course. During the
school year, other Algebra I-based skills that may not be covered in this packet will be
necessary for success in Pre-AP Geometry class, but this packet should serve as a guide to the
skills considered most vital. It is recommended that incoming Pre-AP Geometry students
complete this packet during the summer and review it prior to entering their high school
geometry course in the fall. Additionally, links are included to assist with tutorials should they be
needed.
We will go over questions you may have over the material in the first few days, and will be given
a Major Test over the information in this packet during the second week of school. This will count
as your first major grade for Pre-AP Geometry. The grade you score on this test will be an
indicator of how prepared you will be for the rigor of this course.
Pre-AP Geometry moves at a fast pace, requires memorization of formulas, definitions,
theorems, and postulates as well as other information throughout the course. Homework is
assigned every night and reviewing class notes daily is expected. If you are not committed to
this rigor and dedication, then this level of class may not be for you.
The Pre-AP Geometry team looks forward to meeting you and facilitating your success through
Pre-AP Geometry!
Part 1-2: Solving Equations:
http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/oldschool-equations/v/algebra--linear-equations-4
http://www.regentsprep.org/regents/math/algebra/ae2/lsolveq.htm
http://www.regentsprep.org/Regents/math/algtrig/ATE1/abslesson.htm
http://www.purplemath.com/modules/solvquad2.htm
Geometry PAP: Summer Preparation Packet- 3
Helpful Link:
http://www.purplemath.com/modules/solvquad2.htm
Geometry PAP: Summer Preparation Packet- 4
Part 3: Literal Equation
Solve the literal equation for the given variable
15. Perimeter of rectangle: P = 2w + 2l. Solve for l.
16. Volume of prism: V = lwh. Solve for w.
17. Surface area of sphere: 𝑆 = 4𝜋𝑟 2 . Solve for r
1
2
18. Area of regular polygon: 𝐴 = 𝑎𝑃. Solve for a.
Geometry PAP: Summer Preparation Packet- 5
Part 4: Graphing and Writing Linear Equations:
http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/graphingslope-intercept/v/graphing-a-line-in-slope-intercept-form
http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/point-slopeform/v/linear-equations-in-standard-form
http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analyticgeometry/v/equations-of-parallel-and-perpendicular-lines
http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analyticgeometry/v/parallel-line-equation
Geometry PAP: Summer Preparation Packet- 6
Geometry PAP: Summer Preparation Packet- 7
Geometry PAP: Summer Preparation Packet- 8
Part 5: Solving Systems of Equations:
http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/fast-systems-ofequations/v/solving-linear-systems-by-graphing
http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/fast-systems-ofequations/v/solving-linear-systems-by-substitution
http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/fast-systems-ofequations/v/solving-systems-of-equations-by-elimination
Geometry PAP: Summer Preparation Packet- 9
Geometry PAP: Summer Preparation Packet- 10
Part 6: Graphing Systems of Linear Inequalities
http://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_inequalities_precalc/
v/graphing-systems-of-inequalities-2
Geometry PAP: Summer Preparation Packet- 11
Part 7: Exponents and Radicals
http://www.khanacademy.org/math/arithmetic/exponents-radicals/radicalradicals/v/simplifying-square-roots-1
http://www.khanacademy.org/math/arithmetic/exponents-radicals/radicalradicals/v/simplifying-radicals
http://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/v/moresimplifying-radical-expressions
http://www.regentsprep.org/Regents/math/ALGEBRA/AO1/indexAO1.htm
Geometry PAP: Summer Preparation Packet- 12
Part 8: Factoring &Products
http://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc8th-exponent-properties/v/exponent-properties-involving-products
http://www.khanacademy.org/math/algebra/multiplying-factoring-expression/multiplyingbinomials/v/special-products-of-binomials
http://www.khanacademy.org/math/algebra/multiplying-factoring-expression/multiplyingbinomials/v/special-polynomials-products-1
http://www.khanacademy.org/math/algebra/multiplying-factoring-expression/multiplyingbinomials/v/multiplying-polynomials1
http://www.regentsprep.org/regents/math/algebra/av3/Strinom.htm
Geometry PAP: Summer Preparation Packet- 13
Geometry PAP: Summer Preparation Packet- 14
Part 9: Pythagorean Theorem
http://www.regentsprep.org/regents/math/algebra/at1/pythag.htm
http://www.khanacademy.org/math/geometry/right_triangles_topic/pyth_theor/v/thepythagorean-theorem
http://www.khanacademy.org/math/geometry/right_triangles_topic/pyth_theor/v/pythagorea
n-theorem-2
79)
80)
Geometry PAP: Summer Preparation Packet- 15
81)
81)
Part 10: Internet Components
82. What is the meaning of the word geometry?
83. What was measured with the earliest use of geometry?
84. What Egyptian monuments still stand today after 4, 00 years and are considered as
“masterpieces of straight-line geometry?” What geometric shape lead them to develop
the calculations needed to create the monuments?
85. Identify the 3 most common types of geometry taught in schools today.
Geometry PAP: Summer Preparation Packet- 16
86. How many books did Euclid write and what were they called?
87. What two things did Euclid focus on using the make mathematical statements?
88. What do mathematician call statements that have been proven to be true?
89. What is another name for the coordinate geometry and who was it named after?
90. Identify the three types of transformations demonstrated in the video. Also, determine
what a possible fourth transformation could be such that it would create similar figures
instead of congruent figures like the three already named types.
91. Define the meaning of conjecture.
Part 11: Reflection:
After completing the packet list three math skills you feel you still need work
on and three you are confident to complete.
I still need work on………
I am confident about……….