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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