Casio TEAMS Grant

Systemic Initiative Teaching Environment

Algebra (SITE-A)

Workshop Materials

Graphing, Tracing, and Zooming

Lessons

1. Ten students prepared for a quiz and kept track of the time that each spent
studying. Each reported the number of hours on the quiz and the teacher recorded the quiz
grade of each student.

Is there a relationship between the number of hours spent
preparing for the quiz and the quiz grade?

2. Framers believe that there is a linear relationship between the average amount of
rainfall during the growing season of carrots and the average weight of a carrot produced.

Is there a linear relationship between the average amount
of rainfall and the average weight?

3) The cost of operating the Internal Revenue Service (IRS) increased steadily
from 1980 to 1990.

Is there a linear growth pattern in the data supplied?

4) In 1980, 3.5% of the doctorates in engineering were awarded to women. By 1990, 8.5%
were being earned by women.

Can you find the average rate of change in the percentage
of engineering doctorates earned by women from 1980 to 1990?

5) The percentage of female law enforcement officers in the United States rose from
9.4% in 1983 to 13.8% in 1990.

Can you find the average rate of change in the percentage
of female law enforcement officers in the United States from 1983 to 1990?

6) In 1970, 130 African-American women held elected Federal Offices in the United
States. By 1990, the number had increased to 1950. In 1973, Barbara Jordan became the
first African-American woman from a Southern state to serve in the United States Congress.

Can you find the average rate of change in the number of
African-American women holding elected Federal Offices in the United States?

7) Gratuity on service at a restaurant is usually 15% of the cost of the meal before
the tax is added to the bill.

Can you develop a table that displays what the amount of
gratuity should be for meals costing between $20 and $200 with dollar increments of 10?

8) A certain culture of bacteria doubles every hour. This type of growth is commonly
called exponential growth and it is quite rapid.

Can you develop a table that displays what the bacteria
count is every hour given an initial bacteria count of 100 and allowing the growth to take
place over the next 10 hours?

9) The hourly wage at a fast food restaurant starts at $4.75 per hour with $0.25
increments after each subsequent year of working experience at the restaurant. Hourly
employees can work only 37.5 hours per week, do not get paid vacations, and work 52 weeks
per year.

Can you develop a table that shows at each stage of a nine
year employment period what an employee earns each week and each year?

10) Use the CASIO fx7400G to draw the graph of the inequality 2 x + 3 y > 2 y + 1

11) Use the CASIO fx7400G to draw the graph of the inequality y + 2 < x2 (squared)

12) Use the CASIO fx7400G to draw the graph of the inequality y x2 (squared) > 1

13) Use the CASIO fx7400G to draw the graph of the inequality y > x2 (squared) + 6 x + 16

14) Use the CASIO fx7400G to draw the graph of the
inequality

y >

15) Use the CASIO fx7400G to draw the
graph of the inequality

y <

16) Use the CASIO fx7400G to draw the feasibility
region of the system of inequalities given below and

find the integer values of the vertices: y < 4, y < -2 x + 12, y > -2/3
x + 4

17) Use the CASIO fx7400G to draw the feasibility
region of the system of inequalities given below and

find the integer values of the vertices: y < - 2 x + 20, y > - 10 x + 36,
y > - 2/5 x + 36/5

19) All three of these activities are closely
related and can be accomplished graphically using the CASIO fx7400G.

1.Find the roots of y = x2(squared) + 4 x + 5

2.Solve for x: x2(squared) + 4 x + 5 = 0

3.Factor x2(squared) + 4 x + 5

20) All three of these activities are closely
related and can be accomplished graphically using the CASIO fx7400G.

1.Find the roots of y = x3(cubed) - 4 x2(squared) + 7 x - 6

2.Solve for x: x3(cubed) - 4 x2(squared) + 7 x - 6 = 0

3.Factor x3(cubed) - 4 x2(squared) + 7 x - 6

21) Solving an equation of quadratic form can be
accomplished graphically using the CASIO fx7400G.

Solve for x: x4 - 13 x2 + 36 = 0

22) An experiment was performed which measured the number of hours a certain brand of
battery allowed a toy rabbit to operate. Twenty-four randomly selected batteries of that
particular brand were tested. Below are the number of hours each battery lasted.

Hours 34 37 29 31 32 33 31 29 28 35 36 30 36 30 29 34 22 33 35 32 30 32 34 28

Use the CASIO fx7400G to draw a boxplot for these data and
give the five-number summary (Min, Q1, Median, Q3, Max) of the hours.

23) In a large urban public school district, a random sample of the percent of students
in Algebra who pass are given

below:

Percent 80 78 82 83 78 80 75 79 82 89 81 79 80 79 81 82 76 73 80 79 81 78 80 77

Use the CASIO fx7400G to draw a boxplot for these data and
give the five-number summary (Min, Q1, Median, Q3, Max) of the hours.

24) Below are the percents of the popular vote won by the successful candidate in each of the presidential elections from 1948 to 1988.

Year |
1948 |
1952 |
1956 |
1960 |
1964 |
1968 |
1972 |
1976 |
1980 |
1984 |
1988 |

Percent |
49.6 |
55.1 |
57.4 |
49.7 |
61.1 |
43.4 |
60.7 |
50.1 |
50.7 |
58.8 |
53.9 |

25) A fisheries researcher compiled the following data on lengths of randomly selected
6-year-old white female

crappies (in millimeters):

217 219 231 225 223 235 230 217 222 214 225 251 220 225 220 221 253 210 218

221 228 222 233 220 218 225 234 222 227 213 235 223 222 223 234 224 231 220

Use the CASIO fx7400G to draw a histogram for these data.

26) A fisheries researcher compiled the following data on lengths of randomly selected
spawning female speckled trout (in millimeters):

310 298 323 316 308 311 323 317 301 322 309 313 294 318 307 295 320 304 317

321 301 320 313 316 321 306 324 317 303 322 311 309 302 310 296 323 316 308

Use the CASIO fx7400G to draw a histogram for these data.

27) A teacher uses a ten point grading scale to measure student performance. The
following data were the final course averages for a class of 23 students:

56, 61, 79, 91, 91, 74, 70, 93, 55, 54, 93, 55, 65, 92, 64, 46, 97, 56, 79, 70, 60, 61, 68

Use the CASIO fx7400G to draw a histogram for these data.

28) Consider the following data:

X |
0.2 |
0.4 |
0.6 |
0.8 |
1.1 |
1.3 |
1.4 |
1.7 |
1.9 |
2.2 |
2.3 |
2.6 |
2.7 |
3.0 |
3.2 |

Y |
2.6 |
2.3 |
2.1 |
2.0 |
2.1 |
2.1 |
2.2 |
2.5 |
2.8 |
3.3 |
3.8 |
4.4 |
5.1 |
5.9 |
6.8 |

Use the CASIO fx7400G to a quadratic regression for these data.

29) Consider the following data:

X |
0 |
5 |
10 |
15 |
20 |
25 |
30 |
35 |
40 |
45 |
50 |

Y |
600 |
4215 |
7030 |
9045 |
10260 |
10675 |
10290 |
9150 |
7120 |
4335 |
750 |

Use the CASIO fx7400G to a quadratic regression for these data.

30) Consider the following data:

X |
50000 |
100000 |
200000 |
250000 |
350000 |
450000 |
500000 |
550000 |
600000 |

Y |
3.8258 |
4.2923 |
4.8491 |
5.0426 |
5.3439 |
5.5751 |
5.6733 |
5.7527 |
5.8448 |

Use the CASIO fx7400G to a logarithmic regression for these data.