Question

task c: dinosaurs
binta and darius are making scale drawings of one of the largest known dinosaurs, the argentinosaurus, which was discovered in argentina in the 1980s.

• binta is using a scale of 1 centimeter to 5 meters to make her drawing.
• darius is using a scale of 2 centimeters to 15 meters to make his drawing.

partner a

1. in whose drawing will the dinosaur take up less space on the page? explain your thinking.
2. in bintas drawing, the dinosaurs length is 6 centimeters. how long is the dinosaur in dariuss drawing?

partner b

1. in whose drawing will the dinosaur take up more space on the page? explain your thinking.
2. in dariuss drawing, the dinosaurs height is 3 centimeters. how tall is the dinosaur in bintas drawing?

task d: whats the scale?
an epidemiologist (a scientist who studies diseases that affect people) makes a scale drawing of a white - blood cell, which is about 20 micrometers (0.000020 meters) across.
partner a

1. write two possible scales the epidemiologist could have used if her drawing is 5 centimeters across.
2. the nucleus of the cell is about 8 micrometers across. how long would this be in her drawing?

partner b

1. write two possible scales the epidemiologist could have used if her drawing is 4 centimeters across.
2. the nucleus of the cell is about 10 micrometers across. how long would this be in her drawing?

Explanation:

Task C - Partner A

Step1: Find scale - factor comparison

Binta's scale: 1 cm represents 5 m or 1 cm : 500 cm. Darius's scale: 2 cm represents 15 m or 1 cm represents 7.5 m or 1 cm : 750 cm. Since Darius's scale has a larger real - world distance per centimeter on the drawing, the dinosaur will take up less space in Darius's drawing.

Step2: Find real - length from Binta's drawing

If in Binta's drawing the length is 6 cm, and 1 cm represents 5 m, then the real length of the dinosaur is $6\times5 = 30$ m.

Step3: Find length in Darius's drawing

If the real length is 30 m and Darius's scale is 2 cm for 15 m, then the length in Darius's drawing is $\frac{30}{15}\times2=4$ cm.

Task C - Partner B

Step1: Find real - height from Darius's drawing

If in Darius's drawing the height is 3 cm, and his scale is 2 cm for 15 m, the real height is $\frac{3}{2}\times15 = 22.5$ m.

Step2: Find height in Binta's drawing

If the real height is 22.5 m and Binta's scale is 1 cm for 5 m, then the height in Binta's drawing is $\frac{22.5}{5}=4.5$ cm.

Task D - Partner A

Step1: Find possible scales

The actual size of the white - blood cell is 0.000020 m or 0.002 cm. If the drawing is 5 cm across. First scale: 5 cm : 0.002 cm = 2500:1. Another scale could be 1 cm : 0.0008 cm (by dividing both sides of 5 cm : 0.002 cm by 5).

Step2: Find length of nucleus in drawing

The nucleus is 8 micrometers or 0.0008 cm. If the scale is 5 cm : 0.002 cm, then the length in the drawing is $\frac{5}{0.002}\times0.0008 = 2$ cm.

Task D - Partner B

Step1: Find possible scales

The actual size of the white - blood cell is 0.000020 m or 0.002 cm. If the drawing is 4 cm across. First scale: 4 cm : 0.002 cm=2000:1. Another scale could be 1 cm : 0.0005 cm (by dividing both sides of 4 cm : 0.002 cm by 4).

Step2: Find length of nucleus in drawing

The nucleus is 10 micrometers or 0.001 cm. If the scale is 4 cm : 0.002 cm, then the length in the drawing is $\frac{4}{0.002}\times0.001 = 2$ cm.

Answer:

Task C - Partner A

1. The dinosaur will take up less space in Darius's drawing because his scale (1 cm represents 7.5 m) has a larger real - world distance per centimeter on the drawing compared to Binta's scale (1 cm represents 5 m).
2. 4 cm

Task C - Partner B

1. The dinosaur will take up more space in Binta's drawing. Explanation: Binta's scale has a smaller real - world distance per centimeter on the drawing compared to Darius's scale.
2. 4.5 cm

Task D - Partner A

1. Possible scales: 2500:1 and 1 cm : 0.0008 cm
2. 2 cm

Task D - Partner B

1. Possible scales: 2000:1 and 1 cm : 0.0005 cm
2. 2 cm