Math 252 – Integral Calculus – Syllabus Chemeketa Community College 4000 Lancaster Drive NE, Salem, OR 97309 North Marion High School Spring 2018 CRN: 78793 Time: 2nd & 3rd Term Location: Room 11

Instructor: Remy Strapp Contact: 503-678-8420 or [email protected]

Office Hours: 7:00 – 8:00 am M – F and after 2:45pm M - F or by appointment as needed

Prerequisite: Grade of C or higher in Math 251 or equivalent and/or permission of the instructor Text: Calculus/Graphical, Numerical, and Algebraic, 5th edition, by Finney, Demana, Waits, & Kennedy, Pearson Education, Inc., 2016

Calculator: A graphing calculator is required for this course. TI-83 or 84 is recommended. Course Description: Covers the development of definite and indefinite integrals, the fundamental theorem of calculus, applications of integrals, constructing functions from their rates of change, and techniques of integration. Introduces differential equations. Upon successful completion of this course, students will be able to: 1. Create mathematical models of abstract and real world situations using anti-derivative functions. 2. Use inductive reasoning to develop mathematical conjectures involving anti-derivative function models. Use deductive reasoning to verify and apply mathematical arguments involving these models. 3. Use mathematical problem solving techniques involving integrals and anti-derivative functions, including the use of graphical, symbolic, narrative and tabular representations. 4. Make mathematical connections and solve problems from other disciplines involving integrals and anti- derivative functions. 5. Use oral and written skills to individually and collaboratively communicate about integrals and anti- derivative function models. 6. Use appropriate technology to enhance mathematical thinking and understanding, to solve mathematical problems involving integrals and anti-derivative functions, and judge the reasonableness of results. Evaluation: Your overall grade will be based on the Each Course Standard will be assessed using a 4-point rubric where: following scale: 4 Exceeds Standards / Mastery 100% A 90 – 100% 3 Meets Standards / Proficient 80% B 80 – 89% 2 Nearly Meets Standards / Developing 60% C 70 – 79% towards Standards D 60 – 69% 1 Does Not Meet Standards / Little or No 20% F below 60% Evidence of Meeting Standards inc Incomplete attempt or No attempt yet 0%

COURSE SEQUENCE Weighted Grade Categories Unit I: Integrals - Unit 1: 20% Unit II: Slope Fields, Integration Techniques, and Differential Equations - Unit 2: 20% Unit III: Applications of Integrals - Unit 3: 20% Unit IV: L’Hopital’s Rule, Relative Rates, Improper Integrals, and Alternate Integration - Unit 4: 20% - Informal Assessments : 5% - Retention: 15% Explanation of Grading System:

Summary of Grading System: Students are encouraged to take advantage of all learning opportunities in this course. All scores are based on accuracy / proficiency of meeting the standards within a unit. There are no effort-based grades in this class.

Details of Grading System

Informal Assessments: Students will have many opportunities to practice the skills they need to be successful. These opportunities will be scored using the same rubric as the tests, so these are a good indicator of how students will perform on the formal assessments. Informal assessments will include warm-ups, clicker activities, homework, labs, games, and investigations. Students are encouraged to resubmit these informal assessments with corrected work until the item is rated a 4 (100%) or until the unit test comes (whichever comes first).

 Homework problems will be discussed in class as necessary and will be collected and graded at the end of each section. Points will be deducted for incomplete assignments or when the answers are not supported with adequate work. Success in this class can be tied directly to effort on homework assignments.

Formal Assessments : 100% of a student’s grade will be based upon how many of the course skills (standards) have been mastered. Mastery is defined as the ability to demonstrate, and repeat, a thorough knowledge, understanding, and performance of the skill. Students will be given standards checklists to track which standards they have mastered. Unless otherwise stated, students will be given only 1 chance to submit a formal assessment.

Students will need to build a collection of evidence for their learning. The collection must include at least 2 different demonstrations for the standards of each unit. One of these assessments will always be a test. The other assessments will vary in nature, length, and the quantity of skills needing to be demonstrated. Because most of these alternative assessments do not assess all of the material within a unit, they are worth less than the test and project (only 25 points each). In most units, students will actually be given more than 2 opportunities to demonstrate their knowledge. Students who do not collect enough evidence documenting their learning will be given an incomplete in the course. By the end of the course, any incomplete will result in an “F.” Please note: not all of these will be offered each unit.

1.) Chapter tests (100 points each) will be given at the end of each unit and will take one class period each. These assessments are the best indicator of a student’s specific strengths and weaknesses within a unit of study because they cover all of the material from the unit.

 To protect the integrity of each test, students must finish within one class period. Students who are not well prepared (i.e., students who have not studied sufficiently) will find it difficult to finish the test on time. Therefore, it is extremely important for students to study before each test. A practice test will be provided to help students with this studying. Answers to practice tests will be posted online. Although it is not required, it is advisable for all students to do the practice test and to check their answers with the key.

 At the end of each trimester students will be provided with one Catch-Up Opportunity for each test. These opportunities will be tailored for students based on their weaknesses. Students will track their weaknesses using their standards checklist and request catch-up assessments based on the areas they feel they can show growth. These opportunities are ideal for students who did not finish portions of the unit tests, students who did poorly on portions of the tests, or students who simply wish to demonstrate that they have improved their abilities on specific standards. Please note: these catch-up opportunities occur within class at the very end of the trimester. So, students who are absent at the end of the term miss out on these chances.

2.) A Project (100 points each): will be assigned during 1 unit of this course. The project will present students with the opportunity to explore more deeply real-life applications of the standards within the unit. Project expectations and grading rubrics will be distributed several weeks before projects are due. Since projects count the same as a test, students are highly encouraged to take this assessment seriously by planning ahead and not procrastinating. Projects submitted before the deadline may be re-submitted with corrections. Projects submitted after the deadline will be accepted as is. 3.) Performance Tasks (25 points) will involve students exploring and communicating about real world applications of the standards learned in the chapter. Once a performance task has been scored and reviewed/returned in class, the opportunity for that particular assessment is no longer available to students who did not complete it.

4.) Essays (25 points) will be assigned each chapter so as to assess each student’s understanding of the unit’s concepts and ability to communicate mathematically. Essays will be graded on content, organization, and clarity of thought using a rubric. Although grammatical and spelling errors will not be the focus of an essay, students should be aware that essays riddled with grammatical or spelling errors may earn low scores if the ideas are difficult to understand.

5.) Technology Demonstrations (25 points) will give students a chance to show their knowledge of the standards through the use Desmos graphing technology or Educreations white board technology.

6.) A Work Sample (25 points) might be collected once during the term. Work samples provide students with the opportunity to reason through open ended mathematical scenarios as well as communicate about their thought processes.

Final Exam: The cumulative final exam will be the only formal way to demonstrate the “retention” standard. It will occur at the end of the college course (not the end of the term) and a review will occur prior to it. Students should earn at least a 70% on the final exam to show retention of course skills.

Notes on Grades: When the NMHS trimester ends on March 8th, you will be awarded the grade earned by percentage points at that time. The Integral Calculus (Math 252) course is completed on June 5th and will be computed using all grades earned between February 5th and June 5th. Juniors have more class days than seniors and will use the extra days to make-up learning and assessments missed while they were taking the Smarter Balanced exam or to experience enrichment activities. So, juniors enrolled in the course will have several additional grades after the final exam; their high school grades will be computed using all grades earned between February 5th and June 14th. Therefore, the grade on your high school transcript and the grade on your college transcript might not be the same.

II. Absences: It is a student’s responsibility to obtain all missed notes and assignments due to absences. Students can get missing assignments from classmates or from the assignment calendar posted in the classroom. Lecture notes are available online through my teacher webpage or our Google Classroom site. Make-up work should be turned in promptly (within 1 week of the absence). This is a fast paced college-level class. Students who are absent frequently will have a difficult time keeping up. Unless class time permits, make-up tests and alternative assessments should be done before or after school or during advisory so as to reduce class time missed.

III. Rules and Consequences: Students are expected to demonstrate respect for themselves and others at all times. All school rules will be followed. If a student chooses to disregard the class or school rules, progressive discipline will follow.

IV. Tips for Success: To be successful in any mathematics class a student should do each of the following:  Attend class on a daily basis  Preview the upcoming section the night before  Complete all homework class  Complete all classwork  Ask questions when you have them  Come prepared to class  Have a positive attitude towards mathematics  Take and refer to detailed notes  Get a study buddy

COURSE DESCRIPTION: Tentative Class Schedule Winter / Spring 2017– 2018

Note: Specific problems for the homework assignments will be posted on the board at the front of the classroom and updated on a daily basis. Investigations, activities, and graphing calculator labs will be included as time and appropriateness allows.

Feb. 5 Monday Intro to Class, 6.3 Definite Integrals and Antiderivatives Feb. 6 Tuesday 6.4 Fundamental Theorem of Calculus Feb. 7 Wednesday 6.4 Fundamental Theorem of Calculus Feb. 8 Thursday 6.5 Trapezoid Rule Feb. 9 Friday 6.5 Trapezoid Rule Feb. 12 Monday Review Feb. 13 Tuesday Chapter 6 Test Feb. 14 Wednesday Standards Checklist Updated; Ch. 6 Alternative Assessment Feb. 15 Thursday 7.1 Slope Fields and Euler's Method Feb. 16 Friday 7.1 Slope Fields and Euler's Method

Feb. 19 Monday No School - President's Day Feb. 20 Tuesday 7.1 Slope Fields and Euler's Method Feb. 21 Wednesday 7.1 Slope Fields and Euler's Method Feb. 22 Thursday 7.2 Integration by Substitution Feb. 23 Friday 7.2 Integration by Substitution

Feb. 26 Monday 7.2 Integration by Substitution Feb. 27 Tuesday 7.2 Integration by Substitution Feb. 28 Wednesday Review Mar. 1 Thursday Chapter 7A Test Mar. 2 Friday Standards Checklist Updated; Ch. 7 Alternative Assessment

Mar. 5 Monday Catch-Up Opportunity for Ch. 5 Test Mar. 6 Tuesday Catch-Up Opportunity for Ch. 6 Test Mar. 7 Wednesday Catch-Up Opportunity for Ch. 7A Test Mar. 8 Thursday END OF 2ND TRIMESTER - Collect Work Sample (1/2 day of school) Mar. 9 Friday No School - Grading Day

Mar. 12 Monday No School - Curriculum Day Mar. 13 Tuesday BEGINNING OF 3RD TRIMESTER - 7.3 Integration by Parts Mar. 14 Wednesday Pi Day Celebration Mar. 15 Thursday 7.3 Integration by Parts Mar. 16 Friday 7.3 Integration by Parts

Mar. 19 Monday 7.1 Differential Equations Mar. 20 Tuesday 7.1 Differential Equations Mar. 21 Wednesday Review Mar. 22 Thursday Chapter 7B Test Mar. 23 Friday Standards Checklist Updated; Ch. 7 Alternative Assessment

Spring Break - No School - March 26th - March 30th

Apr. 2 Monday Welcome Back; Project Introduction Apr. 3 Tuesday 8.1 Accumulation and Net Change Apr. 4 Wednesday 8.1 Accumulation and Net Change Apr. 5 Thursday 8.2 Areas in the Plane Apr. 6 Friday 8.2 Areas in the Plane

Apr. 9 Monday 8.3 Volumes Apr. 10 Tuesday 8.3 Volumes Apr. 11 Wednesday 8.3 Volumes Apr. 12 Thursday 8.3 Volumes Apr. 13 Friday 8.3 Volumes

Apr. 16 Monday 8.3 Volumes Apr. 17 Tuesday Project Time Apr. 18 Wednesday 8.4 Lengths of Curves Apr. 19 Thursday 8.5 Applications from Science and Statistics Apr. 20 Friday 8.5 Applications from Science and Statistics Apr. 23 Monday Review Apr. 24 Tuesday Project Time Apr. 25 Wednesday Parent Teacher Conferences; Project Time Apr. 26 Thursday No School - Parent Teacher Conferences Apr. 27 Friday No School - Teacher Comp. Day

Apr. 30 Monday Review May 1 Tuesday Chapter 8Test May 2 Wednesday Standards Checklist Updated; Ch. 8 Alternative Assessment May 3 Thursday Project Time May 4 Friday 9.2 L'Hôpital's Rule

May 7 Monday 9.2 L'Hôpital's Rule May 8 Tuesday 9.2 L'Hôpital's Rule; Project Presentation Practice May 9 Wednesday Project Exhibition May 10 Thursday Project Exhibition; Project Reflection May 11 Friday 9.3 Related Rates; Project Celebration

May 14 Monday 9.4 Improper Integrals May 15 Tuesday 9.4 Improper Integrals May 16 Wednesday 9.4 Improper Integrals May 17 Thursday 9.4 Partial Fractions May 18 Friday 9.4 Integral Tables

May 21 Monday Review May 22 Tuesday Review May 23 Wednesday Chapter 9 Test May 24 Thursday Standards Checklist Updated; Ch. 9 Alternative Assessment May 25 Friday Catch-Up Opportunity for Ch. 7 Test

May 28 Monday No School - Memorial Day May 29 Tuesday Catch-Up Opportunity for Ch. 8 Test May 30 Wednesday Catch-Up Opportunity for Ch. 9 Test May 31 Thursday Review June 1 Friday Review

June 4 Monday Review June 5 Tuesday Final Exam, Seniors' Last Day June 6 Wednesday Juniors make-up sections that were missed during SBA Testing OR do enrichment activities June 7 Thursday Juniors make-up sections that were missed during SBA Testing OR do enrichment activities June 8 Friday Juniors make-up sections that were missed during SBA Testing OR do enrichment activities (GRADUATION DAY)

June 11 Monday Juniors make-up sections that were missed during SBA Testing OR do enrichment activities June 12 Tuesday Juniors make-up sections that were missed during SBA Testing OR do enrichment activities June 13 Wednesday Juniors make-up sections that were missed during SBA Testing OR do enrichment activities June 14 Thursday END OF 3RD TRIMESTER – Work Samples Collected (1/2 Day) June 15 Friday No School - Grading Day