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Segments |
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1.
Getting Started (1:54m)
Teacher: Cary Tuckey
Teacher uses the Gulliver's Travels story to pose the problem:
How to make a shirt for someone who is much bigger.
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2.
Teacher Discussion
(3:13m)
Text from the story leads students to write the ratio of Lilliputians
to Gulliver.
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3.
Student Activity (4:30m)
Students use string to measure and verify the body ratios from
the Gulliver story.
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4.
Interview (0:56m)
The project director reflects on the integrated approach this program
has for teaching mathematics.
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5.
Student Work (1:29m)
Students state ratios in decimal form. They are able to compare their
ratios to Gulliver's ratios and distinguish the difference between size
and ratio.
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6.
Student Work (3:56m)
Students work in groups to answer the teacher question. If you know the
neck, can you figure the waist measurement?
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7.
Teacher Reflection
(0:36m)
Teacher reflects on the students' prior knowledge and their questions
related to ratio.
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8.
Student Work (2:54m)
Teacher directs the students to create a procedure and investigate the
ratios for: reach to height, radius to height, tibia to height.
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9.
Students Present (2:10m)
Students gather measurement data from 8 other people, who report measures
using several different measures.
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10.
Students Present (5:58m)
Teacher records student data on a chart and discusses mean, median, mode.
Students find that "nice" fractions simplify the decimal values.
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11.
Teacher Dialogue (1:37m)
Students find that each group has consistent ratios. They are able to
predict the tibia length for someone who is 150 cm. tall.
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12.
Student Work (1:41m)
Students use what they have learned to reason and deepen their understanding
of the connection with fractions, decimals and ratios.
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13.
Student Activity (3:58m)
Students draw a 6" Lilliputian and calculate the measure
of the tibia, radius, height and reach in correct ratio for the model.
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14.
Teacher Dialogue (3:58m)
Students use reasoning and information they've learned about body ratios
to calculate length of Gulliver's arm span and shirt length.
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15.
Student Activity (2:58m)
Students understand the ratio of student-size to Gulliver-size, and extend
this idea by lying down along the border of the shirt.
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