Grade 7 Math - Elizabeth Public Schools

ELIZABETH PUBLIC SCHOOLS
Elizabeth, New Jersey
2016-2017 SUMMER PROJECT IN MATHEMATICS
Dear Parent/Guardian:
Your student has been assigned a mathematics summer project for the 2016-2017 school year, which
will be due on the first day of school in September 2017. This summer project was created and approved by
middle and high school teachers in order to provide students with a smooth transition in mathematics
between grade levels. The project exposes the students to various aspects of how math is used in everyday
life. Each activity focuses on different mathematical applications as well as their connections to the content
knowledge.
The mathematics summer project is to be brought with your child on the first day of school. This
project will be graded as a component of the first marking period grade. It will be graded based upon
the following point system:

50 points = 100%

40 points = 90%

30 points = 80%

20 points = 70%
Have fun completing the project and enjoy your summer!
Sincerely,
Samuel Etienne
Mathematics Supervisor (6-12)
_____________________________
Parent Signature*
_____________________________
Student Signature*
*Your signature indicates your awareness of this Mathematics requirement
1a.
Find three things in the kitchen that you can measure the height of with inches. 1pt
_______________________
1b.
__________________________
___________________________
___________________________
__________________________
___________________________
__________________________
Find three things in the corner store that you can measure the cost of with dollars and/or
cents. 1pt
_________________
1h.
___________________________
Find three things in the kitchen that you can measure the temperature of with degrees. 1pt
_________________
1g.
____________________________
Find three things in a kitchen that you can measure the time of in minutes. 1pt
________________
1f.
_________________________
Find three things in the bathroom that you can measure the weight of with pounds. 1pt
___________________
1e.
___________________________
Find three things in a shower that you can measure the volume of with fluid ounces. 1pt
____________________
1d.
________________________
Find three things in any room that you can measure the area of with square feet. 1pt
______________________
1c.
__________________________
_________________________
_____________________________
Find three things in the park that you can show the angle of rotation with degrees. 1pt
__________________________
______________________
______________________________
2a.
Guess how many jumping jacks you can do in one minute.
______________________________
Ask three friends/family members to also guess how many they think you can do. Order
your guesses from least to greatest. 1pt.
___________________________
______________________
_______________________________
Have a friend time you as you do jumping jacks for one minute. Whose guess was closest?
____________ How many can you do in two minutes? ___________Three? _____________ 1pt.
2b.
Gather six different crayons, markers, pens and/or pencils. Ask three friends/family
members to guess the length of each object. Order them from shortest to longest. 1pt.
_________________________________ _________________________________
_________________________________ _________________________________
_________________________________ _________________________________
Using a ruler, measure them and record your answers. 1pt.
_________________________________ _________________________________
_________________________________ _________________________________
_________________________________ _________________________________
Whose guesses were closest? _________________________________
2c.
Estimate the area of three flat surfaces in your living room, such as the coffee table top and
the TV screen. Ask three friends to also estimate the area of each. Order your estimates from
largest to smallest. 1pt.
_______________________________
__________________________________ ______________________________
Measure and calculate the actual area of each object. 1pt.
_______________________________
__________________________________ ______________________________
Whose estimates were the farthest off? _________________ The closest? __________________ 1pt.
2d.
Pick your favorite box of cereal and ask three friends/family members to guess the volume
of the box. Order their guesses from least to greatest. 1pt.
_______________________________
__________________________________
______________________________
Calculate the volume. _________________ 1pt.
How close was each person? The person who was closest wins. Who wins? ________________
2e.
Find a cylindrical object from within the kitchen cabinet. Ask three friends/family members
to guess the weight of the cylinder.
Order their guesses from greatest to least. 1pt.
_____________________________
__________________________________ ______________________________
Measure the weight with a scale. Who was closest?
_____________________________
2f.
_____________________ 1pt.
__________________________________
______________________________
Estimate how many seconds it would take you to walk from your front door to the far wall
of your bedroom. Ask three friends/family members to also guess how long it would take.
Order your guesses from quickest to slowest. 1pt.
_____________________________
__________________________________
______________________________
Have a friend time you as you actually walk. Whose estimate was closest? ______________
2g.
Guess what the temperature outside will be at 10am, noon, 2pm and 5pm. Ask three
friends/family members to also guess the temperature. Order your guesses from lowest to
highest. 1pt.
_____________________________
__________________________________
______________________________
At exactly 10am, noon, 2pm and 5pm, check the actual temperature outside. Whose guesses
were farthest off? __________________
Whose were closest? __________________
How much did the temperature increase or decrease overall? ____________________ 1pt.
2h.
Just before your next trip to the grocery store, guess what you think the cost of a gallon of
milk will be. ___________________
Ask at least two other family members to also guess the cost. Order your guesses from the
lowest to the highest. What was the actual cost? Whose guess was closest? 1pt.
________________________
2i.
____________________________
________________________________
Estimate the widest angle that your refrigerator door will open to. Ask three friends/family
members to also estimate. Order your guesses from smallest to largest. 1pt.
_________________________
________________________________
______________________________
Measure the number of degrees. The person who was closest wins. Who wins? 1pt.
_______________
Can you identify if the angle is acute, obtuse, right or straight? 1pt.
_______________________________
3a.
Find as many different sized plates as you can in the kitchen.


How many did you find? ___________
Calculate the area and order them by the smallest to the largest area.
___________________________


______________________________ ________________________ 1pt.
Calculate the circumference and order them by the smallest to the largest
circumference. _______________________ _____________________ ______________________ 1pt.
Calculate the difference between the smallest and largest area of the plates.
___________________0.5pt.

3b.
Calculate the difference between the smallest and largest circumference of the
plates.
___________________ 0.5pt.
Find 5 objects in your bedroom. What are the 5 objects you chose?
________________________________
________________________________
________________________________
________________________________
________________________________

Order the objects by height from shortest to tallest. 1pt.
________________________________
________________________________
________________________________
________________________________
________________________________

Using the same 5 objects, order them by weight. You can either weigh the objects or
estimate the weight of each object. 1pt.
________________________________
________________________________
________________________________
________________________________
________________________________

Calculate the difference between the shortest and tallest item.

Calculate the difference between the heaviest and the lightest item. _________________ 1pt.
3c.
_________________ 1pt.
Find 5 objects in your home. What are the 5 objects you chose?
________________________________
________________________________
________________________________
________________________________
________________________________

Calculate the area of one face of each object and order the areas from largest to smallest.
________________ __________________ ___________________ __________________ ___________________ 1pt.

Using the same 5 objects, calculate the perimeter of each object and order them from largest
to smallest.
________________ __________________ ___________________ __________________ ___________________ 1pt.

Calculate the difference between the smallest and largest area of the object.
___________________0.5pt.

Calculate the difference between the smallest and largest circumference of the object.
___________________ 0.5pt.
3d.
Find 5 three dimensional objects in your kitchen that are rectangular prisms. List the 5
items that your chose.
_______________________________
_______________________________
_______________________________
_______________________________
_______________________________

Calculate the volume of each object and put the volumes in order from least to greatest.
1pt.
_______________________________
_______________________________
_______________________________
_______________________________
_______________________________

Using the same 5 objects calculate the surface area of each object and put them in order
from least to greatest. 1pt.
_______________________________
_______________________________
_______________________________
_______________________________
_______________________________

Calculate the difference between the smallest and largest surface area.
___________________0.5pt.

Calculate the difference between the smallest and largest volume.
___________________ 0.5pt.
3e.
Find the high and low temperature for one day in Elizabeth, NJ. Calculate the range of the
two temperatures. 1pt.
High: ______________
3f.
Low:
_______________
Range:
_________________
Take a trip to the grocery store and write down the prices of 5 different food items that are
not priced in whole numbers. What are the items and what do they cost? 1pt.
ITEM: ____________________
COST: ___________________
ITEM: ____________________
COST: ___________________
ITEM: ____________________
COST: ___________________
ITEM: ____________________
COST: ___________________
ITEM: ____________________
COST: ___________________

Put the items in order from greatest to least cost. 1pt.
_______________________________
_______________________________
_______________________________
_______________________________
_______________________________

Calculate the difference between the most expensive item and the least expensive item.
___________________1pt.
3g.
What time does one of your family members leave for work in the morning on a given day?
Write down the time to the nearest minute. ______________
What times does that same family member return from work in the evening?
Write down that time to the nearest minute. _____________
How long was your family member away from the house to the nearest minute? ____________
1pt.
Repeat the above procedure for a second day and write down the results.
What times does that same family member return from work in the evening?
Write down that time to the nearest minute. _____________
How long was your family member away from the house to the nearest minute? ____________

3h.
What is the difference between the amount of time your family member was away from the
house on the two days? Record your results to the nearest minute. _______________ 1pt.
Find 5 objects in your bathroom that contain fluid ounces. What are these objects?
_______________________________
_______________________________
_______________________________
_______________________________
_______________________________

Weigh each object and put them in order from greatest to least. 1pt.
_______________________________
_______________________________
_______________________________
_______________________________
_______________________________
Find the difference between the heaviest and the lightest object to the nearest ounce.
_______________ 1pt.
3i.
Open your refrigerator door. Look for at what point the light comes on when you open the
door. Estimate the size of the angle at which the light comes on using the hinge as the vertex
of the angle. ____________ 1pt.
Start to close your refrigerator door. Look for when the light goes off when you are closing
the door. Estimate the size of the angle at which the light goes off, using the hinge as the
vertex of the angle. ____________ 1pt.
Are the angle measurements the same or different? ___________
If they are different, what is the difference between the two angle measurements. ___________
1pt.
SAMPLE OBJECTS YOU MAY CHOOSE! Remember there are tons of items in your home and
community you can use to count and measure! These are simply picture representations of
items you can find around your own home and neighborhood.