Prove That They Know What They Know
Mr. Gurley often tells his students, "I know that I know and you know that you know but I want to know that you know." In this section, students will share how they know that they know as they solve "real life" problems using mathematics they have learned this year.
How can the height of an object such as a student, light/telephone/flag pole, or tree be found using indirect measurements?
To find Mark's height, Seth took a digital photo of Mark and Mr. Gurley. The image was opened on the computer monitor and both heights were measured using a ruler. The measurements were entered in the equation below and students crossed multiplied and divided to find the answer.
| Mr. Gurley's height | Mark's height | |
| ---------------- | = | ----------------- |
| Mr. Gurley's picture height | Mark's picture height |
Now see if you know the answer to this essential question. Place the cursor over the picture of Mr. Gurley and Mark to show a picture of Seth and Michael. Michael is 74 inches tall. How tall is Seth?
Teams of
students were assigned the task of finding the height of tall objects around the school.
Melissa (team pictured below) explains that her team used meter sticks to measure the
shadow of the assigned light pole on the softball field. They also measured Marco's height
before they left the classroom and then measured his shadow on the field. To find the
height of the pole, Melissa explains that they multiplied Marco's height by the light
pole's shadow and then divide that product by Marco's shadow to find the height of the
light pole.
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Student find the height of this tree. |
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