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| Class Hours: 3.0 | Credit Hours: 3.0 | ||||||||
| Laboratory Hours: 0.0 | Date Revised: Summer 01 | ||||||||
| Catalog Course Description: | |||||||||
| This course includes the study of integers, fractions, decimals, percents, ratio, proportions, measurements, equations and related applications. Calculator use is integrated throughout the course. | |||||||||
| Entry Level Standards: | |||||||||
| None | |||||||||
| Prerequisites: | |||||||||
| None | |||||||||
| Textbook(s) and Other Reference Materials Basic to the Course: | |||||||||
| Bittinger, Ellenbogen.
Prealgebra, 3rd ed., Addison Wesley, 2000
Calculator with fraction capabilities. A symbolic manipulator such as the TI-89 or TI-92 is not permitted. |
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| I. Week/Unit/Topic Basis: | |||||||||
| Week | Topic | ||||||||
| 1 | Standard notation, 1.1; addition, 1.2; subtraction, 1.3; rounding and estimating, 1.4; multiplication, 1.5; division, 1.6; solving equations, 1.7; applications, 1.8; exponential notation order of operation, 1.9; integer number line, 2.1; integer additions, 2.2 | ||||||||
| 2 | Subtraction, 2.3; multiplication, 2.4; division, 2.5; introduction to algebra and expressions, 2.6 | ||||||||
| 3 | Like terms and perimeter, 2.7; solving equations, 2.8; review | ||||||||
| 4 | Test 1; factorizations, 3.2; multiplications, 3.4; simplifying, 3.5, simplifying and area, 3.6 | ||||||||
| 5 | Reciprocals, 3.7; division, 3.7; solving equations, 3.8; least common multiples, 4.1; addition, 4.2; subtraction, 4.3 | ||||||||
| 6 | Solving equations, 4.4; mixed numerals, 4.5; addition and subtraction using mixed numerals, 4.6 | ||||||||
| 7 | Multiplication and division using mixed numerals, 4.7; review; Test 2 | ||||||||
| 8 | Decimal notation, 5.1; addition and subtraction, 5.2; multiplication, 5.3; division, 5.4; converting fractional notation to decimal notation, 5.5; solving equations, 5.7; solving problems, 5.8 | ||||||||
| 9 | Review; Test 3; tables and pictographs, 6.1; bar graphs and line graphs, 6.2 | ||||||||
| 10 | Averages, medians, and modes, 6.5; probability 6.6; introduction, 7.1; rates, 7.2; proportion, 7.3, 7.4 | ||||||||
| 11 | Geometric applications, 7.5; review; Test 4 | ||||||||
| 12 | Introduction, 8.1; solving percent problems, 8.2, 8.3; applications of percents, 8.4; consumer applications, 8.5, 8.6 | ||||||||
| 13 | Linear measurement, 9.1; capacity, 9.6; temperature measurement, 9.7; perimeter and area, 9.2; review | ||||||||
| 14 | Test 5; Review; Calculator Final Exam | ||||||||
| 15 | Review; Non-Calculator Final Exam | ||||||||
| 16 | Final Exam Retesting | ||||||||
| II. Course Objectives*: | |||||||||
| DSPM 0700 is a mathematics course in the TBR mandated Developmental Studies program. The program is designed to provide students with skills which support their success in college-level curricula and enable them to achieve their educational goals. Students who complete the developmental studies program will experience about the same or better success in college-level classes as students who did not enroll in developmental courses. | |||||||||
| A. | Demonstrate an understanding of number systems. VI.3 | ||||||||
| B. | Perform operations with whole numbers, fractions, decimals, and integers. VI.3 | ||||||||
| C. | Solve problems using equations and graphs. VI.1-5 | ||||||||
| D. | Solve ratio, proportions, and percentage problems. VI.2,3,4 | ||||||||
| E.
F. |
Solve basic geometry
problems involving perimeter, area, and linear measures. VI.2,3,4
Solve basic probability and statistics problems. VI.2,3,4 |
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| *Roman numerals after course objectives reference goals of the university parallel program. | |||||||||
| III. Instructional Processes*: | |||||||||
| Students will: | |||||||||
| 1. | Use calculator with fraction capability. Technological Literacy Outcome | ||||||||
| 2. | Actively engage in a statistical modeling project that requires real life data. Transitional Strategy, Numerical Literacy Outcome, Active Learning Strategy, Personal Development Outcome | ||||||||
| 3. | Collaboratively solve authentic real-life decimal and percent problems. Numerical Literacy Outcome, Active Learning Strategy | ||||||||
| *Strategies and outcomes listed after instructional processes reference Pellissippi State's goals for strengthening general education knowledge and skills, connecting coursework to experiences beyond the classroom, and encouraging students to take active and responsible roles in the educational process. | |||||||||
| IV. Expectations for Student Performance*: | |||||||||
| Upon successful completion of this course, the student should be able to: | |||||||||
| 1. | Determine the equivalent numeral for a given word name for a number. A | ||||||||
| 2. | Determine the nearest multiple of ten, hundred, thousand, or ten thousand of a given whole number with fewer than seven digits. A | ||||||||
| 3. | Identify the digit in a given place of a whole number or a decimal number. A | ||||||||
| 4. | Add two or more integers with regrouping. B | ||||||||
| 5. | Add two or more decimal numbers with regrouping. B | ||||||||
| 6. | Subtract two integers with regrouping. B | ||||||||
| 7. | Subtract two decimal numbers with regrouping. B | ||||||||
| 8. | Multiply integers with regrouping. B | ||||||||
| 9. | Multiply two decimal numbers, each having no more than three decimal places. B | ||||||||
| 10. | Divide intergers, for which the answer may have a remainder. B | ||||||||
| 11. | Divide a decimal number by a whole number or decimal number. B | ||||||||
| 12. | Add three fractions, including mixed numbers, with unlike denominators, and express the answer in simplest form. B | ||||||||
| 13. | Sutract two fractions with unlike denominators, one of which may be a mixed number, and express the answer in simplest form. B | ||||||||
| 14. | Multiply two fractions, including mixed numbers, and express the answer in simplest form. B | ||||||||
| 15. | Divide two fractions, including mixed numbers, and express the answer in simplest form. B | ||||||||
| 16. | Determine other equivalent forms of a simple fraction, a decimal number, or a percent. D | ||||||||
| 17. | Solve a problem involving percentages. D | ||||||||
| 18. | Determine the perimeter (or circumference) and the area of polygons and circles. E | ||||||||
| 19. | Solve a word problem by identifying a variable, writing an equation, and solving a two-step equation. C | ||||||||
| 20. | Determine an equivalent measure within the same system for customary or metric units of measurement of (1) length, (2) weight (customary) or mass (metric), or (3) volume. E | ||||||||
| 21. | Find an appropriate solution to a two-step equation. C | ||||||||
| 22.
23. 24. |
Solve
problems related to a given graph. C
Solve problems using integers, decimals, and fractions. A Solve a problem involving probability and statistics. F |
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| *Letters after performance expectations reference the course objectives listed above. | |||||||||
| V. Evaluation: | |||||||||
| A. Testing Procedures: | |||||||||
| Students
have a maximum of three attempts to pass each chapter and calculator test.
If a student does not achieve at least 80% proficiency within three attempts,
he/she fails the course. Two attempts will be allowed to achieve
70% proficiency on the final exam. If a student does not achieve
70% proficiency within two attempts, he/she fails the course.
If a student requires multiple attempts to achieve the required 80% on chapter or calculator tests, the scores on the attempts will be averaged. The student will receive the average of the attempts or 80%, whichever is higher. If a student requires a second attempt on the final exam to achieve the required 70%, the two attempts will be averaged. The student will receive the average of the two attempts or 70%, whichever is higher. |
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| B. Laboratory Expectations: | |||||||||
| N/A | |||||||||
| C. Field Work: | |||||||||
| N/A | |||||||||
| D. Other Evaluation Methods: | |||||||||
| Evaluation will be based on class participation, homework, and projects as outlined on the syllabus supplement distributed by the instructor. | |||||||||
| E. Grading Scale: | |||||||||
| Unless
otherwise stated on the syllabus supplement, the course grade will be the
average of the following scores: individual calculator tests, comprehensive
course final exams, both non-calculator and calculuator.
A
= 94 - 100
To pass the course, the student must:
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| VI. Policies: | |||||||||
| A. Attendance Policy: | |||||||||
| Pellissippi State Technical Community College expects students to attend all scheduled instructional activities. As a minimum, students in all courses must be present for at least 75 percent of their scheduled class and laboratory meetings in order to receive credit for the course. Students who miss more than the equivalent of one week of class are not eligible for an "I" or "E" grade and are in jeopardy of failing the course. | |||||||||
| B. Academic Dishonesty: | |||||||||
| Academic dishonesty in any form is prohibited and will be dealt with severely. Penalties range from an F or a zero for the specific project or examination to automatic failure for the course for all students involved. Individual instructors must distribute their policy on academic dishonesty during the first week of class. | |||||||||
| C. Withdrawal: | |||||||||
| Students placed and enrolled in an DSP course are not permitted to withdraw except for serious circumstances. Students wishing to withdraw should discuss this matter first with their mathematics instructor and then must confer with a student development counselor. The counselor will notify the student of the decision to all him/her to withdraw. | |||||||||