Students continue to explore the meaning of linear relationships - situations where values change such that they display constant differences. We looked today at perhaps our 10th example of what these relationships mean and how equations can help us model predictions.
Some examples of these comparative situations follow:
Example 1:
Students living within a mile and a half of school usually do not receive a free pass or transportation to school. This means that they must choose the cheapest method for getting to school. Here are two options for a student taking the subway to school.
Paying for Individual Subway Rides: $1.25 per one-way ride
Buying a Discount Pass from School: $15.00 plus $0.65 per ride.
Which option is better for a student who rides the T?
Example 2:
Here are the facts for your cat and mouse chase scenario:
The mouse gets a head start of 7 feet.
The mouse has an average speed of 5 feet per second.
The cat has an average speed of 9 feet per second.
The cat has only 19 feet of distance to catch the mouse before it gets to the mouse hole.
Solve the questions that follow by constructing distance equations for the cat and mouse. Use D to represent distance and T to represent time.
a. When will the cat catch the mouse?
b. After how many feet will the cat catch the mouse?
Ask your children about these problems and what methods they used to solve them. They are representative of the higher-order thinking skills we are trying to nurture and encourage.
Home Nugget #34
Assigned on Thursday October 26, 2006
Due Friday October 27, 2006
In Moving Straight Ahead Page 165 (Handout)
Problems #1 a, b, c, d
#2 a, b, c
#3 a, b
#4 a, b, c, d, e, f
Focus Correction Areas (FCAs)
4 points: all problems highlighted in red have been appropriately explained (as evidenced in the Sample Correct Lesson that was distributed in class)
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