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Math 7/Math 7 Honors
Winter Break Homework Practice
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December 23, 2015 – January 1, 2016
PRINCE GEORGE’S COUNTY PUBLIC SCHOOLS
Office of Academic Programs
Department of Curriculum and Instruction

Name: _______________________________________ Mod: _____________

NOTE TO STUDENT
This Winter Break Packet has been compiled to complement middle school mathematics classroom instruction aligned to Maryland College and CareerReady Standards (MCCRS). It is intended to be used for review and practice of previously taught and new concepts. We strongly encourage you to work diligently to complete the activities in this packet. You may experience some difficulty with some problems in this packet, but we encourage you to explore and attempt to find a solution to the best of your ability. Upon returning to school, your teacher will explore and discuss with you various solutions to solving each problem.
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MATH 7/Math 7 Honors Winter Break Homework Packet 2015–2016!

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Name: _______________________________________ Mod: _____________
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City Centers
Scale drawings and maps of cities can be very helpful for determining distances between important landmarks. With the right map and a little planning, a vacation to a place like Washington, D.C., can be both fun and informative.
PART A
Using your ruler and graph paper provided in this packet, create a scale drawing of a city center. Use the information below to create your drawing.
The scale for your drawing is 1 inch = 2 miles.
Use dots to represent the buildings on your map.
Place City Hall near the top left of the paper.
Draw two streets moving away from City Hall. The two streets should be at 90° angles.
• Along one street, place the Post Office 2 miles away from City Hall and the Police Station 3 miles away from the City Hall.
• Along the other street, place the Fire Station 1 1 miles





from City Hall, the Elementary School

21
2

2

miles from

City Hall, and the Middle School 3 miles from City Hall.

• Draw streets connecting the Police Station to the Fire

Station and Middle School.
• Draw a street connecting the Post Office to the
Elementary School.
MATH 7/Math 7 Honors Winter Break Homework Packet 2015–2016!

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Name: _______________________________________ Mod: _____________

Use your scale drawing to answer the questions below. For each question, you must justify your answer using mathematics and/or words.

1. What is the approximate direct distance, in miles, between the Post Office and the Elementary School?

2. What is the approximate direct distance, in miles, between the Police Station and the Middle School?

3. What is the approximate shortest distance, in miles, between the Police Station and the Middle School if you must pass by the Post Office?

MATH 7/Math 7 Honors Winter Break Homework Packet 2015–2016!

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Name: _______________________________________ Mod: _____________

PART B
Having a scale drawing or map can be helpful in planning a trip. For the remaining parts of this task, you will use the map of the National Mall and downtown Washington, D.C., located in the back of this packet.
Use the map and your ruler to answer the questions below.
For each question, you must justify your answer using mathematics and words.
4. What is the approximate straight-line distance, in miles, between the White House and the Washington Monument?

5. What is the approximate straight-line distance, in miles, between the Washington Monument and the Capitol
Building?

MATH 7/Math 7 Honors Winter Break Homework Packet 2015–2016!

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Name: _______________________________________ Mod: _____________

PART C
Use the map and your ruler to plan a walking tour of the area. Use the information below to plan your tour.
• The walking tour must be no more than 2 miles.
• The walking tour must include 5 stops. The starting location does not count as a stop. However, the final location does count as a stop.
• To improve the accuracy of your measurement, measure along streets (solid lines) and foot paths
(dashed lines). Do not measure straight-line distances.
Use the table below to organize the stops of your walking tour. Washington, D.C. Walking Route
Location

Distance from
Previous Location
(in miles)

Cumulative Distance of Route
(in miles)

MATH 7/Math 7 Honors Winter Break Homework Packet 2015–2016!

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Name: _______________________________________ Mod: _____________

PART D
Use the map and your ruler to plan a bus tour of the area.
Use the information below to plan your tour.
• The bus tour must start at the final location of your walking tour in PART C.
• The bus tour must be at least 5 miles.
• The bus tour must include 3 stops. The starting location does not count as a stop. However, the final location does count as a stop.
• The bus tour must stop at the Capitol Building. (If your walking tour included the Capitol Building, then the bus tour must stop at the White House.)
• To improve the accuracy of your measurement, measure along streets. Do not measure straight-line distances. Describe your bus tour in the space provided on the next page. Your response must include the following:
• starting location
• location of each stop
• distance between each stop
• ending location
• total distance, in miles, traveled

MATH 7/Math 7 Honors Winter Break Homework Packet 2015–2016!

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Name: _______________________________________ Mod: _____________
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MATH 7/Math 7 Honors Winter Break Homework Packet 2015–2016!

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PART E
Using the bus tour route you developed in Part D, create a table that displays the morning bus schedule in the space provided on the next page. Use the information below to develop the schedule. (Below the table you create, show how you calculated the amount of time the bus will spend traveling between stops.)

• The bus schedule will show the time that the bus leaves each stop.
• The morning bus run starts at 9 a.m.
• The morning bus run ends at 12 p.m. The bus will not start a route if it will end after 12 p.m.
• The bus will start at one end of the route, go to the other end, and then return to the starting point.
• The bus will spend 10 minutes at each stop that forms the end of the route. The bus will spend 5 minutes at each stop in the middle of the route.
• The bus will travel between stops at an average rate of
20 miles per hour.

Name: _______________________________________ Mod: _____________

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MATH 7/Math 7 Honors Winter Break Homework Packet 2015–2016!

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Name: _______________________________________ Mod: _____________

MATH 7/Math 7 Honors Winter Break Homework Packet 2015–2016!

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Name: _______________________________________ Mod: _____________
Printable scale map of the National Mall:

http://wikitravel.org/upload/shared//6/64/National_Mall_map.png

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