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Open Up - Grade 7 - Mathematics - Unit 4 - Lesson 1

By Formative Library
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Last updated about 2 years ago
7 Questions
1
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.
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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?
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3.
One rectangle measures 2 units by 7 units. A second rectangle measures 11 units by 37 units.

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 a = 6L and Andre writes L=\frac{1}{6}*a

Do you agree with either of the equations?
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4.
On the grid, draw a scaled copy of quadrilateral ABCD with a scale factor \frac{2}{3}.
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5.
Solve each equation mentally.

a. \frac{5}{2}*x=1
b. x*\frac{7}{3}=1

c. 1\div\frac{11}{22}=x

(Order the answers with a being on top and c being on bottom.)
  1. x = \frac{3}{7}
  2. x = \frac{2}{11}
  3. x = \frac{2}{5}
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6.
Lin has a scale model of a modern train. The model is created at a scale of 1 to 48.

The height of the model train is 102 millimeters. What is the actual height of the train in meters?
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7.
Lin has a scale model of a modern train. The model is created at a scale of 1 to 48.

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