7.4.1

4

1. A rectangle has a height to width ratio of 3 : 4.5. Give two examples of dimensions for rectangles that could be scaled versions of this rectangle.

Ex: 1 --> _______ x _______
Ex: 2 --> _______ x _______

1

2. One rectangle measures 2 units by 7 units. A second rectangle measures 11 units by 37 units. Are these two figures scaled versions of each other? If so, find the scale factor.

1

3. Ants have 6 legs. Elena and Andre write equations showing the proportional relationship between the number of ants, a, to the number of ant legs l.

Elena writes:
Andre writes:
Do you agree with either of the equations?

1

3. Explain your reasoning for your answer above.

1

4. On the grid, draw a scaled copy of quadrilateral ABCD with a scale factor of 2/3.

1

5. Solve each equation mentally.

1

5. Solve each equation mentally.

1

5. Solve each equation mentally.

1

6. Lin has a scale model of a modern train. The model is created at a scale of 1 to 48.
a) The height of the model train is 102 millimeters. What is the actual height of the train in meters?

Hint: 1 m = 1,000 mm

1

6b. On the scale model, the distance between the wheels on the left and the wheels on the right is 1 and 1/4 inches. The state of Wyoming has old railroad tracks that are 4.5 feet apart. Can the modern train travel those tracks?

Explain your reasoning.

1

2. One rectangle measures 2 units by 7 units. A second rectangle measures 11 units by 37 units. Are these two figures scaled versions of each other? If so, find the scale factor.

3. Ants have 6 legs. Elena and Andre write equations showing the proportional relationship between the number of ants, a, to the number of ant legs l. Elena writes:Andre writes:Do you agree with either of the equations?

3. Explain your reasoning for your answer above.

4. On the grid, draw a scaled copy of quadrilateral ABCD with a scale factor of 2/3.

5. Solve each equation mentally.

5. Solve each equation mentally.

5. Solve each equation mentally.

6. Lin has a scale model of a modern train. The model is created at a scale of 1 to 48. a) The height of the model train is 102 millimeters. What is the actual height of the train in meters?Hint: 1 m = 1,000 mm

6b. On the scale model, the distance between the wheels on the left and the wheels on the right is 1 and 1/4 inches. The state of Wyoming has old railroad tracks that are 4.5 feet apart. Can the modern train travel those tracks?Explain your reasoning.

EXIT TICKETThe side lengths of the flag are in the ratio 2 : 3. If a flag is 12 feet long, what is its height?

3. Ants have 6 legs. Elena and Andre write equations showing the proportional relationship between the number of ants, a, to the number of ant legs l.

Elena writes:
Andre writes:
Do you agree with either of the equations?

6. Lin has a scale model of a modern train. The model is created at a scale of 1 to 48.
a) The height of the model train is 102 millimeters. What is the actual height of the train in meters?

Hint: 1 m = 1,000 mm

6b. On the scale model, the distance between the wheels on the left and the wheels on the right is 1 and 1/4 inches. The state of Wyoming has old railroad tracks that are 4.5 feet apart. Can the modern train travel those tracks?

Explain your reasoning.

EXIT TICKET
The side lengths of the flag are in the ratio 2 : 3. If a flag is 12 feet long, what is its height?