Summer Math 2013 GRADE 7 12201 New Hampshire Avenue Silver Spring, MD 20904 301-989-5780 Ms. Virginia A. de los Santos, Principal Mr. J. Randy Gruber, Assistant Principal Mr. Terrell A. Zimmerman, Assistant Principal Dear Students and Parents/Guardians: Summer is almost here, and we hope that you have a fantastic one! To make sure your math skills stay sharp this summer, please make sure you complete the following FOUR assignments. These assignments incorporate skills from the new Common Core State Standards for math, which encourage you to think deeply about concepts like Algebra, Geometry/Measurement, Statistics/Probability and Computation. They will be collected the first week of school, and entered as a 40-point homework grade (they are worth 10 points each). Remember, homework (including the summer math packet) is checked for completion…you must TRY every problem! At White Oak, we expect you to give your best effort always. Additional copies of these summer math activities are also available in our main office, guidance office and on the White Oak website at http://www.montgomeryschoolsmd.org/schools/whiteoakms/. If you have any questions or concerns, please contact me at [email protected] or call the White Oak main office at 301-989-5780. Enjoy a relaxing summer full of diverse learning experiences. We look forward to seeing you in August! Sincerely, Ms. Cynthia Tran Mrs. Cynthia Tran Math Content Specialist White Oak Middle School Summer Math 2013 GRADE 7 #1 ALGEBRA: The first step in a staircase is made up of four blocks. The second step is made up of 8 blocks. Imagine the staircase went below ground. Create a function table that shows the number of number of blocks needed to continue the pattern backwards. Write the rule for your function table: Graph the function on the coordinate plane. How many blocks would be in the 10th step? How many blocks would be in the -10th step? Is your graph linear ? Explain why or why not. Summer Math 2013 GRADE 7 #2 GEOMETRY/MEASUREMENT: Create a picture below (a house, a playground, a map, a person) that includes representations of the following mathematical terms. Label them all. point line ray line segment vertex diagonal rectangle perimeter circle radius diameter circumference triangle acute obtuse right scalene equilateral line perimeter isosceles parallel perpendicular equiangular Summer Math 2013 GRADE 7 #3 STATISTICS/PROBABILITY: A bag contains three black marbles, two white marbles and one striped marble. For each situation, SHOW YOUR WORK and give your answer in simplest form. Find the probability of the following: Choosing a striped marble Choosing a white marble Choosing a black marble Is this type of probability theoretical or experimental ? EXPLAIN WHY. INDEPENDENT AND DEPENDENT EVENTS Find the probability of choosing a black marble, putting it on the table, then choosing a striped marble. Find the probability of choosing a white marble, putting it on the table, then choosing another white marble. Find the probability of choosing a striped marble, then flipping a coin and getting “heads”. Which events above are independent and which are dependent? EXPLAIN. Summer Math 2013 GRADE 7 #4 COMPUTATION: To succeed in math, it helps to be fluent (quick and successful) in basic operations like adding, subtracting, multiplying and dividing. Solve the following problems by hand and SHOW ALL WORK…NO CALCULATOR ALLOWED!! ADDING AND SUBTRACTING 1) 13 +8 2) 11 −7 3) 47 + 25 4) 231 − 159 5) 654 + 987 3) 47 x 25 4) 231 ÷ 12 5) 654 x 12 MULTIPLYING AND DIVIDING 1) 13 x8 2) 14 ÷5 CONVERTING (change mixed numbers to improper fractions; change improper fractions to mixed numbers) 1) 5 4 2) 5 1 6 3) 15 8 4) 3 3 4 5) 19 3 CONVERTING (change fractions to decimals; change decimals to fractions) 1) 5 4 2) 0.24 3) 15 4 4) 3.01 5) 1 8 Summer Math 2013 GRADE 7 FRACTION OPERATIONS (adding and subtracting) 1) 1 6 + 4 4 2) 1 1 + 6 2 3) 3 1 − 8 6 4) 3 3 − 4 8 1 1 5) 2 + 1 2 3 FRACTION OPERATIONS (multiplying and dividing) 1 6 1) x 4 4 1 1 2) ÷ 6 2 3 1 3) x 8 6 3 3 4) ÷ 4 8 1 1 5) 2 x 1 2 3 DECIMAL OPERATIONS (adding and subtracting) 1) 1.43 +0.28 2) 2.11 −1.09 3) 0.47 +0.23 4) 2.31 −2.16 5) 6.54 +0.57 4) 2.56 ÷ 0.04 5) 6.50 x 0.32 DECIMAL OPERATIONS (multiplying and dividing) 1) 1.43 x 2 2) 1.69 ÷ 0.13 3) 0.47 x 0.3 ORDERING NUMBERS (put the following numbers in order from least to greatest) 2.98 −8 1 6 1 2 3 − 1.5 2.5 0 *Additionally, please memorize your multiplication tables from 0-12! You will be assessed on this the first week of school*
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