SUMMER ASSIGNMENT FOR 2012-2013 GEOMETRY STUDENTS
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SUMMER ASSIGNMENT FOR 2012-2013 GEOMETRY STUDENTS This year, the summer math assignments are available online on the district homepage. To access the summer assignments, please go to the high school’s page on the district website. The address for this page is http://www.nhsd.org/hs/summer%20assign.html On this page, you will see a tab for summer assignments. Please click on that tab, and then go to the line for the Geometry Summer Assignment. At this page, you will be able to print out a copy of your summer assignment. The completion of the summer assignment is highly encouraged but not required. The assignment will not be collected in September. However, the problem sets in this assignment were selected specifically to reinforce the foundational skills and understandings you will need for successful completion of your next math course. Your math teacher will be building upon these skills in September. Completion of the practice exercises in this assignment will therefore help ensure that you will be ready. You are encouraged to work your way through all the exercises in the assignment. If you are unsure how to proceed with a given topic, feel free to sign out a textbook from school, ask an older sibling or parent for assistance, or seek help from a friend who is confident with the material. If you find that you understand the content and know how to do all the problems in a given section, feel free to move onto the next section. You will likely need to do most of the problems on a separate sheet of paper, or graph paper, in order to effectively show your work. We encourage you to write each problem on a separate piece of paper, show your work in pencils, and highlight your answer. Your teacher will begin in September with a brief review of the content and skills covered by this assignment. This review will be followed by either a major test or a series of smaller quizzes to sample your mastery of this material. These assessments will be counted as part of your first marking period grade. Completion of the assignment will help prepare you for these assessments. This is an excellent opportunity to begin your year with a high test or quiz score. You have seen all this material before and have the entire summer to complete the assignment. Try to enjoy it! Best wishes for a fun, restful, and productive summer. Sincerely, The Math Department Expected list of mastered skills for all students entering Geometry or Honors Geometry: Students must be able to simplify expressions containing radicals. o Glencoe Algebra One, Chapter Thirteen, Sections 2, and 3. Students must be able to simplify algebraic expressions including distributing and like terms o Glencoe Algebra One, Chapter One, Sections 7, 8 Students must be able to set up and solve multi-step linear equations o Glencoe Algebra One, Chapter Three Sections 3 and 5 Students must be able to set up and solve proportions o Glencoe Algebra One, Chapter Four Section 1 Students must be able to calculate and apply the slope of a line, including working with parallel and perpendicular slopes. o Glencoe Algebra One, Chapter Six Sections 1, 2, 4, 5, 6 Students must be able to calculate and apply the midpoint of a line o Glencoe Algebra One, Chapter Six Section 7 Students must be able to perform all operations, especially factoring, polynomials o Glencoe Algebra One, Chapter Ten Sections 1 – 5 Students must be able to set up and solve equations using the Pythagorean Theorem o Glencoe Algebra One, Chapter Thirteen Section 1
Transcript of SUMMER ASSIGNMENT FOR 2012-2013 GEOMETRY STUDENTS
SUMMER ASSIGNMENT FOR 2012-2013 GEOMETRY STUDENTS This year, the summer math assignments are available online on the district homepage. To access the summer
assignments, please go to the high school’s page on the district website. The address for this page is
http://www.nhsd.org/hs/summer%20assign.html On this page, you will see a tab for summer assignments. Please click on
that tab, and then go to the line for the Geometry Summer Assignment. At this page, you will be able to print out a
copy of your summer assignment.
The completion of the summer assignment is highly encouraged but not required. The assignment will not be collected
in September. However, the problem sets in this assignment were selected specifically to reinforce the foundational
skills and understandings you will need for successful completion of your next math course. Your math teacher
will be building upon these skills in September. Completion of the practice exercises in this assignment will therefore
help ensure that you will be ready.
You are encouraged to work your way through all the exercises in the assignment. If you are unsure how to proceed
with a given topic, feel free to sign out a textbook from school, ask an older sibling or parent for assistance, or seek
help from a friend who is confident with the material. If you find that you understand the content and know how to do
all the problems in a given section, feel free to move onto the next section. You will likely need to do most of the
problems on a separate sheet of paper, or graph paper, in order to effectively show your work. We encourage you to
write each problem on a separate piece of paper, show your work in pencils, and highlight your answer.
Your teacher will begin in September with a brief review of the content and skills covered by this assignment. This
review will be followed by either a major test or a series of smaller quizzes to sample your mastery of this material.
These assessments will be counted as part of your first marking period grade. Completion of the assignment will help
prepare you for these assessments. This is an excellent opportunity to begin your year with a high test or quiz score.
You have seen all this material before and have the entire summer to complete the assignment. Try to enjoy it! Best
wishes for a fun, restful, and productive summer.
Sincerely,
The Math Department
Expected list of mastered skills for all students entering Geometry or Honors Geometry:
Students must be able to simplify expressions containing radicals.
o Glencoe Algebra One, Chapter Thirteen, Sections 2, and 3.
Students must be able to simplify algebraic expressions including distributing and like terms
o Glencoe Algebra One, Chapter One, Sections 7, 8
Students must be able to set up and solve multi-step linear equations
o Glencoe Algebra One, Chapter Three Sections 3 and 5
Students must be able to set up and solve proportions
o Glencoe Algebra One, Chapter Four Section 1
Students must be able to calculate and apply the slope of a line, including working with parallel and
perpendicular slopes.
o Glencoe Algebra One, Chapter Six Sections 1, 2, 4, 5, 6
Students must be able to calculate and apply the midpoint of a line
o Glencoe Algebra One, Chapter Six Section 7
Students must be able to perform all operations, especially factoring, polynomials
o Glencoe Algebra One, Chapter Ten Sections 1 – 5
Students must be able to set up and solve equations using the Pythagorean Theorem
o Glencoe Algebra One, Chapter Thirteen Section 1
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Review: Rules of Exponents Instructions: For the following worksheet, you will be reviewing the rules of exponents. If you cannot remember the rule, then please look back at old Algebra 1 notes or you may use online as a resource (I would recommend www.purplemath.com).
1. For each of the following, fill in the blank with the most appropriate answer. a. When you are multiplying common bases like
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x 3 ⋅ x 2 , you __________________ the exponents. Simplify the expression
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x 3 ⋅ x 2 =
b. When you are dividing common bases like
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x 6
x 2, you __________________ the exponents.
Simplify the expression
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x 6
x 2 =
c. When you are raising a power to another power like
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(x 3)2, you __________________ the exponents. Simplify the expression
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(x 3)2 =
d. When you have a negative exponent in an expression like
€
x−3 , you _____________________ so that the expression has a positive exponent. Simplify the expression
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x−3 =
e. When you have a negative exponent in the denominator of a fraction like
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1x−2
, you
___________________________ so that the expression has a positive exponent.
Simplify the expression
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1x−2
=
f. Anything to the zero power, like the expression x0, is equal to ___________________.
Simplify the expression x0 =
Simplify each of the following expressions using the rules of exponents. Remember, in order for the expression to be a proper polynomial, all exponents must be positive whole numbers. Please show all of your work! 2.
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p8q4 × p4q8 3. 4.
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2a3( )3
5.
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r2st 3( ) s4t( )3 6. 7.
8. 9. 10.
