Mr. Neil Rinaldi
Principal
Mr. Dan Uriano
Assistant Principal
Ellington High School
37 MAPLE STREET
ELLINGTON, CT 06029
(860) 896-2352 Fax (860) 896-2366
Mr. Peter Corbett
Lead Teacher
Mrs. Suzanne Markowski
Guidance Director
Mr. Tim McCluskey
Athletic Director
“Where Children Come First”
Summer Review For Students Entering Geometry
We believe in creating a challenging academic environment. All students should gain the skills and
knowledge to prepare them for a lifetime of learning in a rapidly changing global community. We expect all
members of our learning community to demonstrate responsibility, integrity, respect, cultural understanding,
and ethical behavior.
It has been discovered that students regress in skills over the summer months. To help you succeed next
fall- and perhaps to help you learn some lessons that you did not master the first time through – we have
prepared the following set of math exercises to be completed over the summer. Your high school mathematics
courses are cumulative. This means that you will need to utilize concepts previously learned to be successful.
The reason for this review is to reacquaint you with necessary skills to be successful in next year’s math course.
It is clear that most students do not want to spend their entire summer doing math work. Based on how
fast or slow you work, you may find that you only need to do math a few days each week. Working on this set of
math exercises will be most effective if you do work throughout the summer, so try not to skip weeks.
This assignment will be due the first day of school. This assignment will also serve as a basis of preparing
for a review assessment which will be given during the first week of school. If you do not perform as expected,
you will need to stay after school to continue your review of these topics.
Should you misplace this set of math exercises, you will be able to print another copy off the EHS website.
What is geometry?
The word Geometry literally means “measuring of the earth.” Geometry is the oldest math discipline and
it developed from the need to measure and delimit what surrounds us. It is the least computational of the
mathematical disciplines, but the one with the largest amount of vocabulary and terminology.
In this course you will not be required to perform calculations as you may be accustomed. While there
will be calculations, solving equations, and algebraic expressions; the focus is on the application of what you have
learned in Algebra and you will be required to apply vocabulary and concepts in a logical and systematic
manner. Learning the vocabulary is a necessity, and it is mostly how you will work, and what you will be
assessed and graded on. If you do not know the vocabulary and concepts, your calculations will be wrong.
Academic Geometry Summer Work
You must complete summer work problems #1-30 and turn in your completed work to your geometry
teacher in the first day(s) of geometry. The completed summer work will count as your first graded homework
assignment in geometry.
Skills Readiness Pre-Course Test
On the last two pages of this packet you will find the Skills Readiness Pre-Course Test. Upon completing
the 30 summer work problems and in addition to your prior knowledge you should be familiar with most topics
on the Skills Readiness Pre-Course Test. When reviewing the Skills Readiness, if you find there is a topic you do
not understand, you may use one of the website links provided to review those topics. Some of the topics may be
new to you but will give you an idea of what to expect in the upcoming course.
We recommend you complete the Skills Readiness Pre-Course Test prior to attending the first day of
geometry; however, this will not be graded.
In the first few days of geometry you will be given a diagnostic test that is similar to the summer work
problems and Skills Readiness to determine your background knowledge as you enter geometry. Your results
from the diagnostic test will help your teacher understand your strengths and weaknesses coming into the course.
Here are some websites that you might find useful as you complete your summer work
http://www.hotmath.com
http://www.mathisfun.com
http://www.mathopolis.com
http://www.coolmath.com/
http://www.math-aids.com
http://www.khanacademy.com
http://www.mathforum.com
http://www.purplemath.com
http://freemathhelp.com (use math lesson tab)
http://my.hrw.com is where you can find our geometry textbook online. To preview the book or to print a copy
of the Skills Readiness (pg CC60-CC61) you may log into the online textbook using the following: USERNAME:
swork25 PASSWORD: swork
Round
1. Round 534.785 to the nearest hundredth.
2. Using your calculator approximate
3. Round
to the nearest tenth.
to the nearest thousandth.
Simplifying expressions
4. 2x + 10 + 3x – 17
6.
5. 180 – (10x – 5) + 8
7.
Solving equations
8. 43 = 7 – 3x
12. 3( x – 5) = 4x
9. 14 – 3y = 4y
13.
10. 4x – 15 = 17 – 4x
11. 4t – 5t + 9 = 5t – 9
14.
15. 7 – 0.03x = 1.72x + 1.75
Solving proportions
Express your answer as a whole number or fraction as appropriate. Do not use decimals. Simplify all
answers. Solve for the variable.
16.
17.
Using substitution
In Algebra "Substitution" means putting numbers
where the letters are:
If you have the expression:
x–2
And you are given:
x=6
…then you can “substitute” 6 for x:
6–2=4
18. If y = 10, then what is
19. If x = 5 and y = 6, what is 2x -
Example:
If x = 5, then what is
Put “5” where “x” is:
=2+4
=6
?
?
20. If x = 5 then what is 3(2x -7)?
Writing equations based on given information
21. When five times a number is decreased by 1, it has the same value as four times the number
increased by ten. What is the number?
22. The product of a number with 8 is the same as its sum with 42. Find the number.
23. Sandy had 255 dollars to spend on 7 books. After buying them she had 17 dollars.
How much did each book cost?
Area and perimeter
24. A rectangle measures 12 feet in length and 18 feet in width. (include units)
a) Find its area
b) Find its perimeter
25. A triangle has a base of 6m and a height of 4m. Find its area _____________
Graphing
26. Graph and label the following points on the coordinate plane.
a. (5, 6)
b. (7, -4)
c. (3.5, 0.5)
d.
Measurement
27. a) Examine a protractor. Sketch a drawing of the protractor, labeling the markings at
10 degree increments.
b) Explain why a protractor has two sets of degree markings for 0° to 180°, going in opposite
directions.
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
28. Using the image of the inch ruler below, read the lengths to points A, B, and C. Use fractions to write
the lengths.
A = __________
B = __________
C = __________
i. Without measuring, estimate the measure of the angles below.
Estimate: __________ Estimate: __________ Estimate: __________
ii. After estimating, use a protractor to determine the measure of the angle.
Actual: __________
Actual: __________
Actual: __________
29. Using a protractor, accurately draw angles of the following measures:
a) 125°
b) 68°
30. Using a ruler, draw line segments of the following lengths.
a) 2 ¾ inches
b) 6.5 cm
c) 45 mm
c) 90°