Download Pre-Algebra Activity 1

Pre-Algebra Activity 1:
Measures of Central Tendency
Kim Holden
CALCULATORS: Casio: fx-300ES • Casio: fx-115ES
Teaching Notes/Lesson Plan Level: Pre-Algebra Middle School
Objective
To familiarize students with the statistical capabilities of the Casio calculator. The students will
be able to put pertinent information in a list and calculate the mean, median, mode and range of
a set of data.
Engage
Discuss with students where we see statistics in everyday life. Discuss with the students the
different professions where statistics would be used.
Explore
1.
2.
3.
4.
5.
6.
Students will set the calculator to STAT mode.
Students will put the set of data in order from least to greatest.
Students will calculate the median, mode, and range of the data.
Students will enter the data into the calculator.
Students will find the mean of the data.
Students will complete the worksheet.
Explain
Students should explain to the necessity of statistics in our everyday life. The discussion should
include an explanation of when statistics are used and how statistics are important.
Elaborate
Students can share ideas and explanations with the class as we analyze scores of tests, and
change in temperature over the course of a month.
Evaluate
Give students additional examples to calculate. Students should write an explanation of mean,
mode, median and range. Given each set of data, students should be able to explain which
measure best represents the data.
Pre-Algebra Activity 1: Measures of Central Tendency
1
© Casio, Inc. • For Classroom Use Only
Name ___________________________________________________ Date ______________
Pre-Algebra Activity 1: Measures of Central Tendency
CALCULATORS: Casio: fx-300ES • Casio: fx-115ES
Student Worksheet Activity 1
Objectives
The student will be able to:
1. Students will put data in order from least to greatest.
2. Students will calculate the median, mode and range of the data
3. Enter data into the calculator using the STAT mode,
4. Find the mean of the set of data,
5. Explain which measure best represents the data.
Example
A research group monitors the popularity of television programs and assigns a rating to each one. The
ratings for programs airing at 9:00pm on tow networks for each day of the week of June 4, 2001 are
shown below. Find the mean, median, mode, and range of the ratings for each network.
Day
Network W
Network Y
Monday
7.1
6.2
Tuesday
5.4
5.8
Wednesday
7.0
4.2
Thursday
8.3
9.7
Friday
5.5
5.7
Saturday
5.0
5.4
Sunday
9.8
12.6
Procedure
1. Put each list of data in order from least to
greatest.
2. Turn on calculator.
3. Set mode:
a. Press MODE key.
b. Press 2 for statistics.
c. Press 1 for 1-Variable statistics.
4. Enter the data for Network W.
a. Key in first piece of data.
b. Press = sign to enter data in table.
c. Continue this process for all pieces of
data.
Problems
Pre-Algebra Activity 1: Measures of Central Tendency
5. Once all data for Network W has been
entered, press SHIFT STAT.
6. Press 5 for Variation.
7. Press 2 for x, which will calculate the
mean of the set of data.
8. Press = .
9. The mean for the set of data will appear.
10. Repeat steps 1 through 9 for Network Y.
2
© Casio, Inc. • For Classroom Use Only
Name ___________________________________________________ Date ______________
Student Worksheet Activity 1
Find the mean, mode, median, and range for each set of data. When necessary, round to the
nearest tenth.
1. 78, 45, 32, 64, 22, 63, 45
3.
3.6, 7.2, 9.0, 5.2, 7.2, 6.5, 3.6
2. 22, 63, 53, 26, 41, 44, 12, 26
4.
0.6, 0.7, 1.4, 0.9, 0.2, 0.7, 0.7, 1.4
Use the following spreadsheet to answer the remaining questions. Round to the nearest tenth
when necessary.
Test Scores
Student
Test 1
Test 2
Test 3
Test 4
Test 5
Helena
94
88
82
92
85
Shandea
83
87
91
78
86
Michael
88
94
71
78
86
Reshma
90
90
81
76
90
Luis
74
92
84
89
88
5. What is the mean of ALL the test scores?
__________________________________
6. What is the median of all the test scores?
__________________________________
7. What is the mode of all the test scores?
__________________________________
8. What is the range of all the test scores?
__________________________________
9. Look at Helena’s scores.
a.
What is Helena’s mean of the five tests? __________________________________
b.
How does Helena’s mean affect the class
mean?
__________________________________
10. Look at Reshma’s scores.
a.
What is Reshma’s mean on the five tests?
b.
How does Reshma’s mean affect the
class mean?
__________________________________
Find Reshma’s mode on the first five
tests.
__________________________________
How does Reshma’s mode affect the
class mode?
__________________________________
11. If test 4 is removed, how will this change
the mean of all the test scores?
__________________________________
12. If Michael wanted an 86 average after the
sixth test, what grade does he need to earn
on his sixth test?
__________________________________
c.
d.
Pre-Algebra Activity 1: Measures of Central Tendency
3
© Casio, Inc. • For Classroom Use Only
Pre-Algebra Activity 2:
Adding and Subtracting Unlike Fractions
Kim Holden
CALCULATORS: Casio: fx-300ES • Casio: fx-115ES
Teaching Notes/Lesson Plan Level: Pre-Algebra Middle School
Objective
To familiarize students with the fraction capabilities of the Casio calculator. The students will
be able to add and subtract fractions with unlike denominators and write answers in mixed
number form and improper fraction form and their decimal equivalents.
Engage
Discuss with students where we see fractions in everyday life. Discuss with the students the
different professions where fractions would be used. Have the students make a list of these
professions and when fractions would be used.
Explore
1.
2.
3.
4.
5.
Students will set calculator for input of fractions in mixed number form.
Students will enter pertinent information for examples into calculator.
Students should write answers in mixed number form.
Students should find the improper fraction equivalent of each mixed number.
Students should find the decimal equivalent of each mixed number.
Explain
Students should explain to the necessity of fractions in our everyday life. The discussion
should include an explanation of why a fraction is more precise than a decimal in some
instances, and that in some professions, fractions are easier to work with.
Elaborate
Students can share ideas and explanations with their small groups and present them to the class
as a group of why fractions are important in everyday life.
Evaluate
Give students additional examples to calculate. Have students create, as a small group,
word problems for the rest of their class to complete involving adding and subtracting unlike
fractions.
Pre-Algebra Activity 2: Adding and Subtracting Unlike Fractions
1
© Casio, Inc. • For Classroom Use Only
Name ___________________________________________________ Date ______________
Pre-Algebra Activity 2: Adding and Subtracting Unlike Fractions
CALCULATORS: Casio: fx-300ES • Casio: fx-115ES
Student Worksheet Activity 2
Objectives
The student will be able to:
1. Enter information into the calculator using the mixed number format key,
2. Find the answer in mixed number form,
3. Convert the answer to improper form, and
4. Convert the answer to decimal form.
Example
News that sales of a certain magazine were brisk after its August 2002 debut sent stocks of publishing
companies up. On Monday, August 5, 2002, one company’s stock rose $1 38 to close at $45 1 .
4
What was the opening price for the company that day?
Procedure
1. Turn on calculator.
2. Set mode:
a. Press MODE key.
b. Press 1 for computation.
3. Set calculator to mixed number mode:
a. Press SHIFT SETUP .
b. Press the down arrow.
c. Select 1 for ab/c which is the mixed number symbol.
1
4. Enter $45 4 by pressing SHIFT and the Fraction key. You will notice that a symbol for
mixed numbers in natural display is above this key in yellow.
5. Key in 45.
6. Press the right arrow.
7. Key in 1.
8. Press the down arrow.
9. Key in 4.
10. Press Replay button to the right.
11. Press subtraction (-) key
12. Press Shift and the Fraction key.
13. Key in 1.
14. Press the Replay button to the right.
15. Key in 3.
16. Press the down arrow.
Pre-Algebra Activity 2: Adding and Subtracting Unlike Fractions
2
© Casio, Inc. • For Classroom Use Only
Name ___________________________________________________ Date ______________
Student Worksheet Activity 2
17.
18.
19.
20.
Key in 8.
Press the right arrow.
Press equals (=) key.
Answer is given in mixed number form.
To change the mixed number to improper fraction:
1. Keep answer on screen.
2. Press SHIFT and then press d/c.
3. Answer now shown in improper form.
4. Follow steps 1 through 2 to change it back to mixed number form.
To change the mixed number to a decimal:
1. Keep answer in display screen.
2. Press the S ➞D key.
3. Answer is now in decimal form.
4. Press the S ➞D key again to switch back to fraction form.
➞
➞
Pre-Algebra Activity 2: Adding and Subtracting Unlike Fractions
3
© Casio, Inc. • For Classroom Use Only
Name ___________________________________________________ Date ______________
Student Worksheet Activity 2
Problems
Solve each equation. Write the solution in simplest form as a mixed number (when possible),
improper fraction and decimal rounded to the thousandths place.
1. 13 + 5 = h
6
4
2. y = 14 37 + 6 21
(
(
7
Evaluate each expression if x = 58 , y = - 34 and z = 2 12 .
Write in simplest for as a mixed number (when possible), improper fraction, and
decimal rounded to the hundredths place.
3. x + z
4.
z–x–y
5.
z+x–y
Use the chart below to answer the following questions.
How Do You Choose an Airline?
Reason
Fraction
Size/Type of Aircraft
3/100
Safety Record
8/25
Frequent Flyer Mileage
1/25
Cost
23/50
No Response
1/100
Time of Departure/Arrival
7/50
6. What fraction of those asked said they look at cost
or safety record?
__________________________________
7. What is the difference between the fraction of people who said they considered time of
arrival or departure and the number who chose based on the size or type of aircraft?
____________________________________
Write the solution in simplest form as a mixed number (when possible), improper fraction and
decimal rounded to the thousandths place.
8. A carpet layer needs 12 12 square yards of carpet for one room and 18 34 square yards for
another room.
How much carpet is needed in all?
__________________________________
Pre-Algebra Activity 2: Adding and Subtracting Unlike Fractions
4
© Casio, Inc. • For Classroom Use Only
Pre-Algebra Activity 3:
Square Roots
Kim Holden
CALCULATORS: Casio: fx-300ES • Casio: fx-115ES
Teaching Notes/Lesson Plan Level: Pre-Algebra Middle School
Objective
To familiarize students with the root and square root capabilities of the fx-300ES. The students
will be able calculate the square roots of numbers and express the answers in standard and
decimal forms.
Engage
Discuss with students where we see squares (numbers) in everyday life. Discuss how we can
use squares and their importance in life around us.
Explore
1.
2.
3.
4.
Students will set the calculator to COMP mode.
Students will enter roots into the calculator.
Students will write answers in standard root form.
Students will write answers in decimal form.
Explain
Students should explain to the necessity of square roots in our everyday life. The discussion
should include an explanation of when square roots are used.
Elaborate
Students can share ideas and explanations with the class as we find the dimensions of a square
work space, and use the Pythagorean Theorem.
Evaluate
Give students additional examples to calculate.
Pre-Algebra Activity 3: Square Roots
1
© Casio, Inc. • For Classroom Use Only
Name ___________________________________________________ Date ______________
Pre-Algebra Activity 3: Square Roots
CALCULATORS: Casio: fx-300ES • Casio: fx-115ES
Student Worksheet Activity 3
Objectives
The student will be able to:
1. Enter information using the root key.
2. Find answer in standard root form.
3. Convert answer to decimal form.
Example
Ms. Brophy is creating a few cubicle workout rooms for her gym. One square workspace needs to
have a floor space of 1352 square feet. Draw a diagram and describe/show she could find the length of
each side of this room.
Procedure
1. Turn on calculator.
2. Set mode:
a. Press MODE key.
b. Press 1 for computation.
3. Press square root key.
4. Key in 1352.
5. Press = .
6. Answer is given in standard form.
7. Press S ➞ D key to change answer from standard form to decimal form.
➞
Pre-Algebra Activity 3: Square Roots
2
© Casio, Inc. • For Classroom Use Only
Name ___________________________________________________ Date ______________
Student Worksheet Activity 3
Problems
Find each square root.
1.
3.
5.
-
4
2.
64
25
4.
9
16
225
Find the best integer estimate for each square root.
Then check your answer using a calculator.
6.
89
7.
8.
625
9.
10.
-
-
170
97
13.74
28 ft.
11. Miss Holden needs to fence in part of her
yard for her dog, Corky. A diagram of the part
of her yard that she wants to fence in is shown
at the right. How much fencing must she
purchase to surround the part of the yard she
needs to fence in?
c
80 ft.
50 ft.
100 ft.
Pre-Algebra Activity 3: Square Roots
3
© Casio, Inc. • For Classroom Use Only