Dear 8th Grade Students and Families,

I am looking forward to working with you this year. As you advance in your math career, the focus shifts to more complex problem solving that requires you to combine multiple skills and concepts within a single problem. Students who have their basic computational skills mastered consistently outperform those students who do not. Over the next FIVE weeks, you need to make sure that you have the following mathematical facts mastered/memorized:

1.  Multiplication of integers from -12 to 12 (see tables on next page)

2.  Perfect Squares and Square Roots from 1 to 15 (see tables on next page)

3.  Perfect Cubes and Cube Roots from 1 to 10 (see tables on next page)

On the first 5 Fridays of the school year, students will be given 100 questions and will have 5 minutes to answer 100% of them correctly. Students who do not meet this requirement will continue taking the test on each Friday through the end of September. On the final attempt (Friday, September 26th), the number correct out of 100 after 5 minutes will be the student’s final score on this formal assessment. A practice test is provided at the end of this document. Students are expected to prepare for this assessment over the summer. I wish you a wonderful first five and appreciate your support in preparing for a successful 8th grade experience!

Sincerely,

Mr. Williams

Helpful websites:

http://math.about.com/cs/multiplication/a/multws.htm

http://www.multiplication.com/resources/online-tests-and-quizzes

http://www.studyzone.org/mtestprep/math8/a/multintegersp.cfm

http://www.xpmath.com/forums/arcade.php?do=play&gameid=47

http://www.studyzone.org/mtestprep/math8/a/perfectsquaresp.cfm

http://quizlet.com/2762716/practice-perfect-squares-flash-cards/

http://www.quia.com/rr/382994.html

http://www.ixl.com/math/grade-8/cube-roots-of-perfect-cubes

http://www.aaamath.com/exp-eval-cube.htm#section2

Integer rules:

(Positive #)(Positive #) = Positive # Example: (4)(6) = 24

(Negative #)(Negative #) = Positive # Example: (-3)(-5) = 15

(Positive #)(Negative #) = Negative # Example: (7)(-2) = -14

(Negative #)(Positive #) = Negative # Example: (-8)(9) = -72

Perfect Squares

12 / = / 1
22 / = / 4
32 / = / 9
42 / = / 16
52 / = / 25
62 / = / 36
72 / = / 49
82 / = / 64
92 / = / 81
102 / = / 100
112 / = / 121
122 / = / 144
132 / = / 169
142 / = / 196
152 / = / 225

Square Roots

√1 / = / 1
√4 / = / 2
√9 / = / 3
√16 / = / 4
√25 / = / 5
√36 / = / 6
√49 / = / 7
√64 / = / 8
√81 / = / 9
√100 / = / 10
√121 / = / 11
√144 / = / 12
√169 / = / 13
√196 / = / 14
√225 / = / 15

Perfect Cubes

13 / = / 1
23 / = / 8
33 / = / 27
43 / = / 64
53 / = / 125
63 / = / 216
73 / = / 343
83 / = / 512
93 / = / 729
103 / = / 1000

Cube Roots

31 / = / 1
38 / = / 2
327 / = / 3
364 / = / 4
3125 / = / 5
3216 / = / 6
3343 / = / 7
3512 / = / 8
3729 / = / 9
31000 / = / 10

Name: ______Block:______Date:______PRACTICE TEST

TIME YOURSELF (5 MINUTES)