Saint Paul American Schools
Calculus
Curriculum > High > Clark > Mathematics- Course Description
-
Calculus is a study of trigonometry, advanced Algebra, elementary analysis, and plane,
solid and analytic geometry designed to provide critical processing skills necessary for
success in Calculus. It will include topics outlined in the Textbook. The use of technology
will be incorporated in the course. Emphasis will be placed on justification of answers
through various forms of communication including writing.
Students intending to take the Calculus AP course should have completed courses in which they have studied algebra, geometry, trigonometry, analytic geometry and elementary functions. These functions include those that are linear, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric, and piecewise defined. Students need to be familiar with the properties of functions, the algebra of functions, and the graphs of functions. Students should also have some understanding of the language of functions – domain, range, periodic, symmetric, zeroes, intercepts, etc., ‐ and know the values of the trig functions for 0, π/6, π/4, π/3, π/2, π, and their multiples. This course requires the use of a graphing calculator. Students will be instructed in the use of the calculator and are expected to use it in completing homework, class work, and on the AP test. The course covers topics that will be tested on the AP Calculus AB exam – functions, graphs and limits, continuity, derivatives at a point and as a function, related rates of change, properties of integrals, Fundamental Theorem of Calculus, techniques of anti‐differentiation, numerical approximations to definite integrals including trapezoidal and Simpson’s rule, and the application of integration and differentiation to real world problems. Further topics may include L’Hopital’s rule, Taylor and MacLaurin series, polar integration.
NOTE: STUDENTS TAKING THIS COURSE MUST TAKE THE AP CALCULUS EXAM IN MAY
- Course Standard
-
Students will:
1. Work functions in a variety of ways: graphical numerical, algebraic. Students should understand the connections among these representations.
2. Understand the meaning of the derivative in terms of a rate of change and local linear approximation and should be able to use derivatives to solve a variety of problems.
3. Understand the meaning of the definite integral both as a limit of Riemann sums and as a net accumulation of change and should be able to use integrals to solve a variety of problems.
4. Understand the relationship between the derivative and the definite integral as expressed in both parts of the Fundamental Theorem of Calculus.
5. Communicate mathematics and explain solutions to problems both verbally and in written sentences.
6. Model a written description of a physical situation with a function, a differential equation, or an integral.
7. Use technology to help solve problems, experiment, interpret results, and support conclusions.
8. Determine the reasonableness of solutions, including sign, size, relative accuracy, and units of measurement.
9. Develop an appreciation of calculus as both an inherent body of knowledge and as a human accomplishment.
- Textbook and Supplies
- Calculus Early Trancendentals by Anton. Published by Wiley.
- Course Outline
-
First Quarter
Week 1: Introduction to Trigonometry, definition of terms, angle in standard position.
Week 2: Converting Radian to degree and vice‐versa, solving radian measure using the formula s = r and finding co‐terminal angles.
Week 3: Finding the supplement and complement of an angle, and solving the six trigonometric functions.
Week 4 ‐ 5: Sines, cosines, and tangents of special angles, and solving trigonometric functions using trigonometric identities.
Week 6 ‐ 7: Right triangle and Pythagorean Theorem, and application of SOH‐CAH‐TOA.
Week 8: Trigonometric functions of any angle, reference angles, and solving trigonometric equations.
Week 9: Review and Midterm exams.
Second Quarter
Week 10: Derivation of Law of Cosine and solving oblique triangles using the law of cosine with Bearings.
Week 11: Derivation of the Law of Sine and the Law of Tangent, and problems involving those laws with Bearings.
Week 12: Verifying/proving trigonometric identities.
Week 13 – 14: Sum and Difference Formulas for Sine, Cosine, and Tangent, and evaluating trigonometric functions.
Week 15: Follow‐up for sum and difference formulas. Week 16: Double‐angle and half‐angle formulas, and their applications. Week 17: Vectors in plane and its introduction, and Component for of a vector. Week 18: Review and Final Exams.
- Evaluation
-
Grading Homework
- By Inspection During Class – Teacher will ask to see the work.
- When Handed In – some homework assignments are to be turned in for grading.
- Late work is discounted 10% first class period, 25% the next class period, and receives a zero if later than two class periods Grading Tests
- Tests are 100 points each (sometimes extra credit is given on the test, so a score over 100 is possible).
- Partial credit is given, wherever possible, for correct work. You must SHOW YOUR WORK to receive partial credit.
- An incorrect answer with no work shown is fully discounted.
- The semester final is worth 20% of your final grade.
COMPONENTS OF GRADE
| Quizzes | 25% |
| Seatwork | 20% |
| Homework | 10% |
| Class Standing | 15% |
| Examination | 30% |
Grading Scale:
| A+ | 97 - 100 | 4.0 |
| A | 94 - 96.99 | 4.0 |
| A- | 90 - 93.99 | 3.7 |
| B+ | 87 - 89.99 | 3.3 |
| B | 84 - 86.99 | 3.0 |
| B- | 80 - 83.99 | 2.7 |
| C+ | 77 - 79.99 | 2.3 |
| C | 74 - 76.99 | 2.0 |
| C- | 70 - 73.99 | 1.7 |
| D+ | 67 - 69.99 | 1.3 |
| D | 64 - 66.99 | 1.0 |
| D- | 60 - 63.99 | 0.7 |
| F | 0 - 59.99 | 0 |
- Course Requirement
-
Students should have successfully completed preCalculus or equivalent material,
or receive permission of the instructor.
Be prepared for class with pencil, notebook, and book.
Be on task at the appropriate times.
Work with others in an appropriate manner.
Your contribution to class discussions is expected and appreciated.
‐ AP free response problems
These problems are assigned randomly throughout the year, starting around November.
They are problems for which you have a week to arrive at a solution. These problems are to help you with your problem solving skills and to prepare you for the AP test. They are handed in and graded as homework, using the AP Test grading procedures.
‐ Notebook
You need a notebook that is dedicated to math. DO NOT PURCHASE A ‘FIVE SUBJECT’ NOTEBOOK. You will be handing in the notebook occasionally for the teacher to check homework, so it will not be available to you Notebooks should be handed in during every test. The teacher is looking for:
1. Organization
2. Homework (not just the answers but the WORK)
The notebook is graded on a 5 point scale.
5 points: organized, all sections clearly delineated, all homework attempted.
0 points: no work or notebook missing on the day requested or obviously copied.
‐ Homework
Like any new language, you have to practice math or you will not learn it. You can expect a homework assignment every day. Take notes, participate in class, the homework will be a breeze.
Homework is your chance to test out, solidify, or ‘come to grip[s’ with what we’ve talked about in class that day. It is graded when the teacher assess your notebook and in homework quizzes.
1. Read directions carefully
2. Write each separate assignment on a new sheet in your notebook.
3. MAKE HOMEWORK CORRECTIONS. Write them next to the original work, in the margin, wherever. Try to underline your mistakes, so when you review for a test, you’ll know what kind of thinking to avoid.
4. You will generally have between 10 – 30 problems (or more) for homework.
‐ Homework quizzes
You will have many homework quizzes. This test is closed book. You will be expected to use your notebook. Problems are identified by page number, section number, and problem number. Copy the work from your notebook onto the quiz sheet. Occasionally there will be free response questions on these quizzes as well. On these quizzes, just writing down the answer (unless appropriate) is insufficient and will be counted as an incorrect response.
‐ Tests
1. Occur every two to three weeks.
2. Test will cover ANY MATERIAL WE HAVE DISCUSSE#D IN CLASS. Don’t just assume the test will only cover the ‘new’ material. Anything we’ve had thus far is fair game to be included. Unless otherwise indicated, tests are closed book.
3. On your test, always circle the final answer.
4. Always round to two decimal places.(9.213; NOT 9.2)
- The AP Test expects all answers to be three decimal places – you will lose points for not doing this.
5. Always indicate units where appropriate (m/sec or kg m/sec2)
- The AP Test expects units to be shown – you will lose points for not indicating units on tests and worksheets.
6. Always show your work – if the answer is wrong you may still receive partial credit for the correct procedure.
7. No work shown usually results in a poorer grade.
8. YOU MAY NOT USE ELECTRONIC TRANSLATORS FOR A TEST. IF YOU HAVE TROUBLE WITH VOCABULARY ASK THE TEACHER FOR HELP.
9. Portions of the AP Test require the use of a graphing calculator. LEARN TO USE IT EFFICIENTLY TO HELP YOU SOLVE PROBLEMS.
10.CHEATING ON A TEST (OR HOMEWORK) RESULTS IN A GRADE OF ZERO FOR THAT ASSIGNMENT FOR BOTH PARTIES.
‐ Calculators
1. You are expected to have a calculator. A TI‐83+ (or better) graphing calculator is used throughout the course. You should at the least have a scientific calculator to use on homework.
2. School calculators do not leave the classroom. UNLESS THEY ARE ASSIGNED OR RENTED TO YOU
3. If assigned, they are to be returned the NEXT DAY.
4. If the calculator is lost or broken while in your possession, you are responsible for replacing the calculator (cost $100).
5. If you need a calculator for the year, see the office staff to arrange a possible rental.
- Weekly Informational Knowledge Overview - (Students will know...)
- …This week is all review of previous materials in Pre‐Calculus.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …graph exponential functions, trigonometric functions, etc.
Monday
Tuesday
Wednesday
Thursday
Friday
- ***FIRST DAY OF CLASS***
- Mon. Main Activity/Lesson:
- Today is the introduction to the course.
Distribute syllabus, calculators, text books.
Discuss at length the syllabus of the class and the class expectations.
- Evaluation:
- Vocabulary:
- Homework:
- Tues. Main Activity/Lesson:
- Evaluation:
- Vocabulary:
- Homework:
- Wed.Main Activity/Lesson:
- Review pre‐calculus materials and information.
Exponential functions, trigonometric functions, etc.
- Evaluation:
- Vocabulary:
- Homework:
- Thurs.Main Activity/Lesson:
- Review key concepts of Pre‐Calculus again.
- Evaluation:
- Vocabulary:
- Homework:
- Fri.Main Activity/Lesson:
- QUIZ ON PRE‐CALCULUS REVIEW
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- Weekly Informational Knowledge Overview - (Students will know...)
- …some strategies for finding limits of
functions;
…how to apply limits in word problems;
…the limits of trigonometric functions.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …find limits of polynomial, rational and
trigonometric functions.
…recall some trigonometric identities.
Monday
Tuesday
Wednesday
Thursday
Friday
- Mon. Main Activity/Lesson:
- Limits of Polynomial and Rational Functions
- Evaluation:
- Seatwork ‐ #s 5 – 22, p. 65
- Vocabulary:
- limit, rational function
- Homework:
- #s 23 – 26, p.65
- Tues. Main Activity/Lesson:
- Evaluation:
- Vocabulary:
- Homework:
- Weds. Main Activity/Lesson:
- The limit of Composite Function and Limits of Trigonometric Functions
- Evaluation:
- First 3 and seatwork
- Vocabulary:
- Homework:
- #s 27 – 34, p 65
- Thurs. Main Activity/Lesson:
- Theorem 1.7 – Functions that Agree at all but one point:
- Evaluation:
- Seatwork
- Vocabulary:
- Homework:
- Fri. Main Activity/Lesson:
- QUIZ DAY
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- Weekly Informational Knowledge Overview - (Students will know...)
- ...the trigonometric identities;
…the identities of each trigonometric function;
…the limits of trigonometric functions.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …recall the basic trigonometric identities;
…use the different identities to find the
limits of trigonometric functions;
…prove/verify some trigonometric identities.
Monday
Tuesday
Wednesday
Thursday
Friday
- Mon. Main Activity/Lesson:
- REVIEW – Trigonometric Identities
Theorem 1.9 – Two Special Trigonometric Limits:
- Evaluation:
- Teacher’s own formulated equation (not from the book)
- Vocabulary:
- identity
- Homework:
- Read Theorem 1.9, p. 63.
- Tues. Main Activity/Lesson:
- Evaluation:
- Vocabulary:
- Homework:
- Wed. Main Activity/Lesson:
- Theorem 1.9 – Two Special Trigonometric Limits:
- Evaluation:
- seatwork ‐
- Vocabulary:
- Homework:
- Thurs. Main Activity/Lesson:
- Follow‐up discussion about trigonometric identities
- Evaluation:
- more exercises from the teacher
- Vocabulary:
- speed, arc, linear speed
- Homework:
- study for the quiz
- Fri. Main Activity/Lesson:
- QUIZ # 3
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- Weekly Informational Knowledge Overview - (Students will know...)
- …the discontinuity of a given function;
…identify the domain and range of a given function;
…the difference between the removable and non‐removable discontinuity.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …determine the domain and range of a
function;
…discuss the discontinuity of given functions;
…read the graph of continuous and discontinuous functions.
Monday
Tuesday
Wednesday
Thursday
Friday
- Mon. Main Activity/Lesson:
- QUIZ # 2
- Evaluation:
- (The quiz last Friday was postponed)
- Vocabulary:
- Homework:
- Tues. Main Activity/Lesson:
- Evaluation:
- Vocabulary:
- Homework:
- Weds. Main Activity/Lesson:
- Continuity at a point and on an Open Interval (Discussion throughout the period)
- Evaluation:
- Vocabulary:
- Homework:
- #s 1‐6, p. 76
- Thurs. Main Activity/Lesson:
- Continuity at a point and on an Open Interval (Day 2)
- Evaluation:
- Seatwork ‐ #s 25‐28, p. 76
- Vocabulary:
- Homework:
- Fri. Main Activity/Lesson:
- QUIZ # 3
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- Weekly Informational Knowledge Overview - (Students will know...)
- Know the different families of functions and the concept of inverse proportions About Power functions with non‐integer proportions Polynomials and algebraic functions
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- … make sketches of graphs to show their
period and amplitude
… demonstrate if data is inversely or directly proportional to variables.
Monday
Tuesday
Wednesday
Thursday
Friday
- Mon. Main Activity/Lesson: Angle Relationship ‐
- We will study the families of curves and the different parameters that are available. We will also look at the power functions and the family y=x^n
- Evaluation:
- Vocabulary:
- parameters, proportionality
- Homework:
- Exercise Set 0.3, #s 1‐12
- Tues.Main Activity/Lesson:
- We will look at polynomials and functions with non‐integer exponents.
- Evaluation:
- Vocabulary:
- Homework:
- Exercise Set 0.3, #s 13‐28
- Wed.Thurs. Main Activity/Lesson:
- Evaluation:
- Vocabulary:
- Homework:
- Thurs. Main Activity/Lesson:
- We will look at algebraic functions, as well as the families y=A sinBx and y=A cos Bx
- Evaluation:
- Vocabulary:
- Homework:
- 0.3 Exercise set 29‐38
- Fri. Main Activity/Lesson:
- QUIZ DAY
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- Weekly Informational Knowledge Overview - (Students will know...)
- …the derivatives of composition;
…the alternative versions of chain rule;
…how to apply the chain rule in finding the derivative of a function.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …apply the chain rule in finding the
derivative of a function;
…solve real‐world problems involving chain rule.
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Applying the derivative of trigonometric functions in solving word problems
- Evaluation:
- (no time for seatwork, the lesson is too long)
- Vocabulary:
- 171‐173
- Homework:
- Learning Objective:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Solving real‐world problems involving derivatives of trigonometric functions – Rates of change in distance
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- THE CHAIN RULE –Derivatives of Composition
- Vocabulary:
- Homework:
- Learning Objective:
- SCHOOL TRIP
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …the derivative of trigonometric functions in
complex form;
…how to represent an expression as one variable;
…how to apply chain rule in finding the derivatives of some functions.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …derive some trigonometric functions;
…apply the chain rule in finding the derivatives of some functions.
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- CHAIN RULE – Derivative of Compositions
Let u = any expression in a complex form
- Evaluation:
- Seatwork
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Derivative of Compositions – Trigonometric functions
e.g. If f(x) = sin 2x, then f’(x) = (cos 2x)(2) or 2cos 2x
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Derivative of Compositions – Trigonometric functions
e.g. If f(x) = sin 2x, then f’(x) = (cos 2x)(2) or 2cos 2x
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …how to find the derivatives of functions
using implicit process;
…the difference between implicit and explicit;
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …find the derivatives of some functions defined implicitly by equation.
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- Implicit and Explicit Differentiation (This lesson has to be discussed to the students for 3 days)
- Evaluation:
- Vocabulary:
- Implicit and Explicit
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Implicit and Explicit Differentiation
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Implicit and Explicit Differentiation
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- QUIZ DAY
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- Please see Lesson Plan dated October 21‐25
- Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- PLEASE SEE LESSONN PLAN DATED October 21‐25
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …the lessons covered in the midterm exams.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- ***REVIEW FOR THE MIDTERM***
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- MIDTERM EXAMINATION
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- PREPARATION FOR NUMBO
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- NUMBO GAME
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …how to find the derivative of exponential
function;
…the derivation of the derivative of exponential function;
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …find the derivative of each exponential function;
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Derivative of EXPONENTIAL FUNCTION (Formula 1 and 2) DISCUSSION FOR THE ENTIRE PERIOD
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Study the Derivative of Exponential Function
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Derivative of Exponential Functions (Formula 3 and 4)
DISCUSSION AND DERIVATION OF FORMULA 3 and 4
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Review plus exercises about formula 1, 2, 3 and 4
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- QUIZ # 1
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …how to find the derivative of exponential
function;
…the derivation of the derivative of exponential function;
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …find the derivative of each exponential function;
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- Derivative of Exponential Function with CHAIN RULE
- Evaluation:
- Exercises
- Vocabulary:
- Exponential Function
- Homework:
- Answer the problems left in the book
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Derivative of Exponential function in IMPLICIT FORM
- Evaluation:
- Vocabulary:
- implicit form
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- (…continuation of the previous lesson)
- Evaluation:
- drills
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- QUIZ # 1
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …how to apply differentiation to solve word
problems;
…the use of the value of
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …realize the importance of differential
calculus in solving real‐world problems;
…find enjoyment in solving calculus problems;
…follow the step‐by‐step process of solving functions that are differentiable by dt.
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- Differentiating Equations to Relate Rates – (word problems) DISCUSSION
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Please see Lesson Plan dated MONDAY APPLICATION (continuation)
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- RELATED RATES (Day 3)
- Evaluation:
- Vocabulary:
- Homework:
- Review for the quiz
- Learning Objective:
- Language Objective:
- Main Activity:
- QUIZ # 2
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …how the volume of solids is applied in
Calculus;
…how fast the change is when one variable changes.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …recall how to solve volume of solids;
…apply the chain rule in solving related rates in the volume of solids.
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- QUIZ # 2
- Evaluation:
- Vocabulary:
- Homework:
- Have an advance reading of Related Rates – VOLUME OF SOLIDS
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Related Rates – VOLUME OF SOLIDS
Word Problems
Introductions
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Related Rates ‐ Volume of Solids DAY 2 (Solving word problems)
- Evaluation:
- seatwork
- Vocabulary:
- Homework:
- question 46 and 47
- Learning Objective:
- Language Objective:
- Main Activity:
- Group activity
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …that L’Hồpital’s Rule is used to find the
limits using derivative of any function;
…how to determine whether the given function is indeterminate form.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …find the limits of functions using L’Hồpital’s
Rule;
…derive the L’Hồpital’s Rule.
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- QUIZ # 3
- Evaluation:
- Vocabulary:
- Homework:
- Havean advance reading about the L’Hồpital’s Rule
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- The L’Hồpital’s Rule for Indeterminate Form 0/0 (One week Discussion)
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- The L’Hồpital’s Rule for Indeterminate Form �0/0 (One week Discussion)
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- The L’Hồpital’s Rule for Indeterminate Form �0/0 (One week Discussion)
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …how to find the derivative of a function in
the form
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …find the derivative of a function of form
…find enjoyment in playing NUMBO – Christmas Edition
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- QUIZ # 4 – L’Hopital’s Rule Indeterminate form 0/0
- Evaluation:
- Vocabulary:
- Homework:
- Make an advanced reading about L’Hopital’s Rule of the form
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- L’Hopital’s Rule (Second week) Indeterminate Form
- Evaluation:
- Seatwork, Drills
- Vocabulary:
- Homework:
- Complete your numbo card
- Learning Objective:
- Language Objective:
- Main Activity:
- NUMBO – Christmas Edition
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- MERRY CHRISTMAS and A HAPPY NEW YEAR!!!
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …how to sketch the graph of a continuous
function f with different properties;
…the critical points of some functions.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …find the relative maxima and minima of a
function;
...determine the critical points of a function.
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- Short review of L’Hopital’s Rule
L’Hopital’s Rule –Indeterminate form
- Evaluation:
- Seatwork, exercises
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Relative Maxima and Minima ‐ GRAPHING POLYNOMIALS
- Evaluation:
- exercises and drills
- Vocabulary:
- Maxima and Minima
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Relative Maxima and Minima
- Evaluation:
- group work
- Vocabulary:
- Homework:
- Review for the quiz
- Learning Objective:
- Language Objective:
- Main Activity:
- QUIZ # 5
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …the indeterminate form 0 x ∞;
…how to find the derivative of such expression.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …find the derivative of expressions in the form 0 x ∞.
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- INDETERMINATE FORM OF TYPE
- Evaluation:
- Vocabulary:
- Homework:
- exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- INDETERMINATE FORM OF TYPE 0 ∙ ∞
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- continuation of the lesson dated January 15, 2014
- Evaluation:
- seatwork
- Vocabulary:
- Homework:
- review for the quiz
- Learning Objective:
- Language Objective:
- Main Activity:
- QUIZ # 6
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …Final examinations week
- Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- REVIEW FOR THE FINAL EXAMINATIONS
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- REVIEW FOR THE FINAL EXAMINATIONS
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- FINAL EXAMINATION – DAY 1
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- FINAL EXAMINATION – DAY 2
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- FINAL EXAMINATION – DAY 3
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …the students shall be able to define
integral calculus;
…recall the process of finding the derivative of a function;
…find the area of a region under a curve of a graph using Rectangle Method and Newton’s Method.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …the students shall be able to define
integral calculus;
…recall the process of finding the derivative of a function;
…find the area of a region under a curve of a graph using Rectangle Method and Newton’s Method.
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- INTRODUCTION TO INTEGRAL CALCULUS
***Discussion and Definition of Integral Calculus***
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- AREA PROBLEM – by Rectangle Method
- Evaluation:
- Drill , seatwork
- Vocabulary:
- Homework:
- exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- …continuation of AREA PROBLEM
Rectangle method (Trigonometric Functions)
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- AREA PROBLEM – Newton’s Method It states that the derivative of the area is Equal to the value of f(x). In symbols,A’(x) = f(x)
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …the students shall be able to define
integral calculus;
…recall the process of finding the derivative of a function;
…find the area of a region under a curve of a graph using Rectangle Method and Newton’s Method.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- (…continuation of) Newton’s Method for Area Problem –
More examples
Review for the first quiz
- Evaluation:
- Vocabulary:
- Homework:
- review for the quiz
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- QUIZ # 1
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Discussion of the answers from the Quiz
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …the parts of integration;
…students shall be able to write the derivative and anti‐derivative formula of a function;
…students shall be able to find the integral of a given polynomial.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …to find the integral of polynomial
functions;
…name the properties of integration;
…identify the parts of integration.
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- INTEGRATION – Definition of Anti‐derivatives and antidifferentiation
Rewriting derivatives to integration
(DISCUSSION FOR THE ENTIRE PERIOD)
- Evaluation:
- Vocabulary:
- Homework:
- exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- INTEGRATING POLYNOMIALS
- Evaluation:
- drill
- Vocabulary:
- Homework:
- exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- INTEGRATING POLYNOMIALS
(DAY 2)
- Evaluation:
- Vocabulary:
- Homework:
- Exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- QUIZ # 2
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- QUIZ # 2
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- INTEGRATING POLYNOMIAL ‐ Application of the lesson
- Evaluation:
- seatwork, drill, first 3
- Vocabulary:
- Homework:
- exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- Application of INTEGRATING POLYNOMIALS –
PARTICULAR SOLUTIONS
- Evaluation:
- Seatwork
�
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …apply the integration of polynomials in
solving word problems;
…recall the equation and formula of different lesson in trigonometry.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …to recall some formulas needed to solve
word problems;
…to find the particular solutions for each given problem;
…to solve real‐world problems.
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- NO CLASSES
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- HOLIDAY – EDSA People Power
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- WORD PROBLEMS – Particular Solutions (Integral of Polynomials)
- Evaluation:
- seatwork, drills
- Vocabulary:
- Homework:
- exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- The same lesson as Wed.
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- The same lesson as Wed.
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …the consumption of energy in the year
1999;
…the GENERAL POWER RULE;
…how to apply the general power rule.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …to find the integral of a function using the
general power rule;
…to apply the general power rule in solving word problems.
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- QUIZ # 3 ‐
MARGINAL COST, AND COST FUNCTION, PARTICULAR SOLUTION
- Evaluation:
- Vocabulary:
- Homework:
- have an advance reading about the power rule of integral
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- THE GENERAL POWER RULE
If u is differentiable function of x, then
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- GENERAL POWER RULE
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- APPLICATION OF GENERAL POWER RULE
Evaluation: EXERCISES/Seatwork
- Evaluation:
- Vocabulary:
- Homework:
- review for the quiz on Monday
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …the parts of integration;
…students shall be able to write the derivative and anti‐derivative formula of a function;
…students shall be able to find the integral of a given polynomial.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …to find the integral of polynomial
functions;
…name the properties of integration;
…identify the parts of integration.
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- INTEGRATION – Definition of anti‐derivatives and
anti‐differentiation
Rewriting derivatives to integration
(DISCUSSION FOR THE ENTIRE PERIOD)
- Evaluation:
- Vocabulary:
- Homework:
- exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- INTEGRATING POLYNOMIALS
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- INTEGRATING POLYNOMIALS
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …the integral of exponential and logarithmic
functions;
…how to find the integral of an exponent that is differentiable function of x.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …to find the integral of exponential and logarithmic functions.
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- INTEGRAL OF EXPONENTIAL FUNCTION
Derivation of Formula
- Evaluation:
- seatwork
- Vocabulary:
- Homework:
- exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- INTEGRAL OF EXPONENTIAL FUNCTION
Derivation of Formula
- Evaluation:
- seatwork, drills
- Vocabulary:
- Homework:
- exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- INTEGRAL OF EXPONENTIAL FUNCTION
Using the Log Rule
- Evaluation:
- seatwork, drills
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- INTEGRAL OF EXPONENTIAL FUNCTION
Using the Log Rule
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- ...the integral of natural logarithmic
functions;
…how to apply the integrals of natural logarithmic functions to solve real‐world problems;
- Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- INTEGRALS OF NATURAL LOGARITHMIC FUNCTIONS
Application and WORD PROBLEMS
- Evaluation:
- seatwork, drills
- Vocabulary:
- Homework:
- exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- QUIZ # 5
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- DISCUSSION OF ANSWERS IN THE QUIZ
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- SPAS OLYMPICS
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …MIDTERM EXAMS
- Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- ACTIVITY – NUMBO GAME
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- REVIEW FOR THE MIDTERM EXAMS
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- REVIEW FOR THE MIDTERM EXAMS
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- REVIEW FOR THE MIDTERM EXAMS
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- REVIEW FOR THE MIDTERM EXAMS
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …evaluate integrals;
…evaluate definite integrals using the Fundamental theorem of Calculus;
…Use definite integrals to solve marginal analysis problems;
…Find the average values of function over closed interval.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- DEFINITE INTEGRAL –
Definition and derivation of formula
- Language Objective:
- Main Activity:
- Evaluation:
- seatwork and drill
- Vocabulary:
- upper and lower limits
- Homework:
- exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- …continuation of the lesson from Monday
- Evaluation:
- seatwork and drills
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- The Fundamental Theorem of Calculus
Definition and formula
- Evaluation:
- seatwork and drills
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- The Fundamental Theorem of Calculus
- Evaluation:
- Vocabulary:
- Homework:
- exercises from the book
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …find the definite integral using the Fundamental Theorem of Calculus.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- Fundamental Theorem of Calculus
- Evaluation:
- seatwork
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- PROPERTIES OF DEFINITE INTEGRALS
- Evaluation:
- seatwork
- Vocabulary:
- Homework:
- exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- HOLIDAY – Labor Day
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- (…continuation of the previous lesson)
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …how to find the definite integrals of natural logarithm and radicals.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- EVALUATING DEFINITE INTEGRALS
INVOLVING NATURAL LOGARITHMS
- Evaluation:
- Seatwork and drills
- Vocabulary:
- Homework:
- exercise from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- EVALUATING DEFINITE INTEGRALS
INVOLVING RADICALS
- Evaluation:
- Seatwork, drills
- Vocabulary:
- Homework:
- exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- More examples on DEFINITE INTEGRALS
- Evaluation:
- seatwork
- Vocabulary:
- Homework:
- review for the quiz
- Learning Objective:
- Language Objective:
- Main Activity:
- QUIZ # 2
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …the definition of Marginal Analysis and
Average Value;
…how to apply them in solving word problems.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- AVERAGE VALUE and Marginal Analysis ‐ Introduction
- Evaluation:
- seatwork, drills
- Vocabulary:
- Average Value
- Homework:
- exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- FULL DISCUSSION – Marginal Analysis and Average Value
- Evaluation:
- exercises from the book
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Application – WORD PROBLEMS
- Evaluation:
- Seatwork, drills
- Vocabulary:
- Homework:
- exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …how to derive the integral of trigonometric functions;
- Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- ACTIVITY – Application of Marginal analysis and Average Value
- Evaluation:
- seatwork
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- QUIZ # 3
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Integral of TRIGONOMETRIC FUNCTIONS
- Evaluation:
- SEATWORK, DRILLS
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Integral of TRIGONOMETRIC FUNCTIONS
- Evaluation:
- Vocabulary:
- Homework:
- exercises from the book
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …applying integral of trigonometric functions.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- DERIVATION OF THE INTEGRAL OF TANGENT AND COTANGENT
- Evaluation:
- seatwork, drill
- Vocabulary:
- Homework:
- exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Integral of trigonometric functions
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- SCHOOL TRIP 2014
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- SCHOOL TRIP 2014
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …the different methods for substituting different kinds of equations.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- ….. How to derive trigonometric functions
and indefinite integrals, slope fields.
….How to integrate by substitution
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- Deriving integral curves. Will discuss slope fields and the indefinite integral
- Evaluation:
- Do exercises 5.2 in the textbook.
- Vocabulary:
- Indefinite integral, slope fields.
- Homework:
- Ex set. 5.2 #s 1‐59 ODDS
- Learning Objective:
- Language Objective:
- Main Activity:
- NO CLASS – BLOCK SCHEDULE
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Discuss the methods of integration by substitution. The method of u‐substitution will be employed. Also, less apparent substitutions will be examined.
- Evaluation:
- Seat work.
- Vocabulary:
- none
- Homework:
- 5.3 #s 1‐13
- Learning Objective:
- Language Objective:
- Main Activity:
- Review section 5.3. Students will come to the board to do exercises for evaluation by peers.
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- QUIZ TODAY
- Evaluation:
- Vocabulary:
- Homework:
- Study for test and final exams.
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-