2015_SummerMath7

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*