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Map Quest - Reason Proportionally with Maps

Teacher Notes

Mapquest shows scale drawings of maps with keys and facts for identifying cities on the map. Students use the key and reason proportionally to determine actual distances between cities. They use the facts and reason deductively to identify the cities. All keys show number of miles for one inch. Distances between cities on the map are in whole or half inches.

Solutions

Map Quest 1

A is Houston

B is Coventry

C is Winston

D is Crowville

E is Browning

F is Dallas

Map Quest 2

A is Portland

B is Ellsworth

C is Granada

D is Felton

E is Dayton

F is Simpson

Map Quest 3

A is Sanford

B is Tulsa

C is Eckard

D is Adams

E is Hoosier

F is Bandoff

Map Quest 4

A is Bedford

B is Sample

C is Readville

D is Antonville

E is Carlton

F is Diablo

Use your ruler and the key to figure out distances between cities.

Use the facts to name the cities.

Fact 1: Hilton to Time is 20 miles.

Fact 2: Time to North Shore by way of Hilton is 80 miles.

Fact 3: Westway to North Shore is 20 miles less than Westway to Raleigh.

Fact 4: Time to Pepper is 20 miles longer than Pepper to Edmonton.

Fact 5: Edmonton is 80 miles from Raleigh.

A is ________________

B is ________________

C is ________________

D is ________________

E is ________________

F is ________________

& \mathbf{Describe:} && \text{The map shows 7 cities. One is Hilton. The key shows that one inch stands for}\\&&& \text{40 miles. The facts give information about location and distances between cities.}\\& \mathbf{My \ Job:} && \text{Use the facts. Name the cities.}\\& \mathbf{Plan:} && \text{Measure distances in inches. Use the key to figure out actual distances. Use the}\\&&& \text{facts to name the cities.}\\& \mathbf{Solve:} && \text{Fact} \ 1: \ \ \text{F is Time}\\&&& \text{Fact} \ 2: \ \ \text{E is North Shore}\\&&& \text{Fact} \ 3: \ \ \text{D is Westway}\\&&& \text{Fact} \ 4: \ \ \text{A is Pepper and B is Edmonton}\\&&& \text{Fact} \ 5: \ \ \text{C is Raleigh}\\& \mathbf{Check:} && \text{Fact} \ 1: \ \ \text{Hilton to Time is} \ \frac{1}{2} \ \text{inch or} \ 20 \ \text{miles.}\\&&& \text{Fact} \ 2: \ \ \text{Time to North Shore by way of Hilton is} \ 2 \ \text{inches, or} \  2 \times 40, \ \text{or} \ 80 \ \text{miles.}\\&&& \text{Fact} \ 3: \ \ \text{Westway to North Shore is} \ 2 \ \text{inches, or} \ 2 \times 40, \ \text{or} \ 80 \ \text{miles.}\\&&& \qquad \qquad \ \text{Westway to Raleigh is} \ 2 \ \frac{1}{2} \ \text{inches or,} \ 2 \ \frac{1}{2} \times 40, \ \text{or} \ 100 \ \text{miles.}\\&&& \qquad \qquad \ 100 - 80 = 20 \ \text{miles}\\&&& \text{Fact} \ 4: \ \ \text{Time to Pepper is} \ 1 \ \text{inch, or} \ 40 \ \text{miles.}\\&&& \qquad \qquad \ \text{Pepper to Edmonton is} \ \frac{1}{2} \ \text{inch, or} \ 20 \ \text{miles.}\\&&& \qquad \qquad \ 40 - 20 = 20 \ \text{miles}\\&&& \text{Fact} \ \ 5: \ \text{Edmonton to Raleigh is} \ 2 \ \text{inches, or} \ 2 \times 40, \ \text{or} \ 80 \ \text{miles.}

Map Quest 1

Measure distances between cities.

Use the key and the facts to name the cities.

Fact 1: Girard to Browning by way of Dallas is 125 miles.

Fact 2: Girard to Dallas is the same distance as Crowville to Browning.

Fact 3: Houston to Coventry is 75 miles less than Browning to Girard.

Fact 4: Coventry to Winston is 100 miles.

A is ________________

B is ________________

C is ________________

D is ________________

E is ________________

F is ________________

Map Quest 2

Measure distances between cities.

Use the key and the facts to name the cities.

Fact 1: Portland to Ellsworth by way of Surrey is 400 miles.

Fact 2: Surrey is 250 miles from Ellsworth.

Fact 3: Felton to Dayton is 50 miles less than Felton to Granada.

Fact 4: Simpson to Dayton round trip is 200 miles.

A is ________________

B is ________________

C is ________________

D is ________________

E is ________________

F is ________________

Map Quest 3

Measure distances between cities.

Use the key and the facts to name the cities.

Fact 1: Regis to Hoosier round trip is 70 miles less than the round trip from Regis to Bandoff.

Fact 2: Sandford to Tulsa is the same distance as Eckard to Tulsa.

Fact 3: Eckard to Adams is 35 miles more than Adams to Hoosier.

A is ________________

B is ________________

C is ________________

D is ________________

E is ________________

F is ________________

Map Quest 4

Measure distances between cities.

Use the key and the facts to name the cities.

Fact 1: Sample to Telegraph to Antonville is 180 miles.

Fact 2: Sample to Readville round trip is 100 miles.

Fact 3: Readville is 60 miles from Antonville.

Fact 4: Diablo to Carlton is 15 miles less than Diablo to Bedford.

Fact 5: Bedford to Sample to Readville is 60 miles.

A is ________________

B is ________________

C is ________________

D is ________________

E is ________________

F is ________________

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