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.
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