Saint Paul American Schools
Pre-Calculus
Curriculum > High > Clark > Mathematics- Course Description
-
Pre – 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.
This course expands on topics covered in Algebra2, and introduces several new topics including: complex numbers, polar coordinates, and sinusoidal functions. The course is intended as a final preparation for the student who plans to study Calculus either in high school or in college. It is also recommended for students who are above average in mathematics. The course explores mathematical topics from the standpoint of graphical, numerical, and algebraic / symbolic representations. Topics covered include equations and inequalities, functions and graphs, polynomial and rational functions, exponentials and logarithms, trigonometry, trigonometric identities, analytic geometry, matrices, statistics and probability, and (if there is time) limits. Successful completion of this course indicates that the student has the mathematical background to begin the study of Calculus. The course is strongly dependent on calculator use, with training in the use of TI83/84 calculator technology provided throughout.
- Course Standard
-
Students will:
1. Solve a variety of mathematical and real‐world problems involving the library of functions using symbolic, graphical, and numeric methods. The solution of real world problems by mathematics demonstrates the relation between mathematics and other disciplines.
2. Understand and apply the connections between the characteristics of a function and its graph, reinforcing the idea of mathematics as a universal language.
3. Know the 6 trigonometric functions defined for an angle in a right triangle, defined in connection with the unit circle, defined for an appropriate domain in the real numbers, using both radians and degrees.
4. Identify the frequency, amplitude, period, and phase shift of trigonometric functions. Identify these elements and their effect on the graph of a sinusoidal function, reinforcing the idea of mathematics as a universal language.
5. Represent complex numbers in a variety of forms, display them graphically, and understand their connection to arithmetic operations.
6. Understand and apply vectors, polar coordinates, and parametric curves to both mathematical and real‐world problems. The solution of real world problems by mathematics demonstrates the relation between mathematics and other disciplines.
7. Understand the difference between discrete and continuous mathematics.
8. Use mathematical induction to probe mathematical conjectures, improving logical thinking skills.
9. Use combinatorics, probability and binomial distributions to solve real‐world and mathematical problems. The solution of real world problems by mathematics demonstrates the relation between mathematics and other disciplines.
10. Use technology where appropriate to develop understanding of the link between graphical, numerical, and symbolic representations of functions, problems, and solutions.
- Textbook and Supplies
- Pre‐calculus by Carter. Published by McGraw Hill.
- Weekly Course Plan
-
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
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
-
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.
‐ 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.(9.21; NOT 9.2)
5. Always show your work – if the answer is wrong you may still receive partial credit for the correct procedure.
6. No work shown usually results in a poorer grade
7. YOU MAY USE ELECTRONIC TRANSLATORS FOR A TEST. IF YOU HAVE TROUBLE WITH VOCABULARY ASK THE TEACHER FOR HELP
8. 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 includes a light intro to the class
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- Evaluate piecewise functions
Identify relations that are functions
Find domains algebraically
Find function values
Monday
Tuesday
Wednesday
Thursday
Friday
- ***FIRST DAY OF CLASS***
- Mon. Main Activity/Lesson:
- Today is the introduction to the course. Distribute syllabus, calculators, and textbooks. Discuss at length the syllabus of the class and the class expectations.
- Evaluation:
- Vocabulary:
- Homework:
- Tues. Main Activity/Lesson:
- Main Activity/Lesson: Review Algebra 2 Materials so that students can move on. Review Geometry Concepts and Algebra 2 concepts.
- Evaluation:
- Vocabulary:
- Homework:
- Handout provided at the beginning of class.
- Wed.Main Activity/Lesson:
- NO CLASS – BLOCK SCHEDULE
- Evaluation:
- Vocabulary:
- Homework:
- Thurs.Main Activity/Lesson:
- Discuss section 1‐1 in the book, which introduces functions. Students should use builder notation and interval notation.
- Evaluation:
- Seatwork
- Vocabulary:
- builder notation, function, function otation, independent variable, implied domain, range.
- Homework:
- Sec. 1‐11: 1‐37 ODDS
- Fri.Main Activity/Lesson:
- Finish discussion of section 1‐1 Work on several more questions in the class, including questions 41‐95 ODDS
- Evaluation:
- Vocabulary:
- Homework:
- Finish in‐class assignment over the weekend.
- Materials / Resources (including technology)
View PDF
- Weekly Informational Knowledge Overview - (Students will know...)
- …how to solve right triangles using the
trigonometric functions;
…the relationship between angle of elevation and depression;
…how will an inverse trigonometric function be used to solve right triangles.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …draw the correct/required illustration of a
problem;
…to solve problems about right triangles;
…apply the lesson in daily life.
Monday
Tuesday
Wednesday
Thursday
Friday
- Mon. Main Activity/Lesson:
- Solving Right Triangles – SOH‐CAH‐TOA Inverse Trigonometric Functions
- Evaluation:
- Guided Practice 3.A and 3.B
- Vocabulary:
- inverse, opposite, adjacent, hypotenuse
- Homework:
- #s 19 – 26, p. 227
- Tues. Main Activity/Lesson:
- Angles and elevation and depression
- Evaluation:
- First 8, group seatwork – problem #s 27 – 30, p. 227
- Vocabulary:
- Angle, betweenness, vertex, segment, and rayangle of elevation and depression, line of sight
- Homework:
- #s 39 – 42, p. 228
- Weds. Main Activity/Lesson:
- Evaluation:
- Vocabulary:
- Homework:
- Thurs. Main Activity/Lesson:
- Follow‐up discussion about angle of elevation and depression
- Evaluation:
- Vocabulary:
- Homework:
- Fri. Main Activity/Lesson:
- QUIZ DAY
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
View PDF
- Weekly Informational Knowledge Overview - (Students will know...)
- …that angle is measured using two different
units;
…how to measure angle using both degree and radian;
…how to convert radian to degree and vice versa;
…the difference between scalar and vector quantity.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …solve the angular speed of an object;
…convert degree to radian and radian to degree;
…find a co‐terminal angle of a given angle; …solve arc length using the formula.
Monday
Tuesday
Wednesday
Thursday
Friday
- Mon. Main Activity/Lesson:
- Degrees and Radians ‐ Conversion
- Evaluation:
- Seatwork – answer #s 10 – 17, p. 238
- Vocabulary:
- radian, degree, convert, terminal, initial, vertex
- Homework:
- Read EXAMPLE 1 – Convert between DMS and Decimal Degree Form, p. 232.
- Tues. Main Activity/Lesson:
- Degree –Radian conversion (Follow‐up) and CO‐TERMINAL ANGLES
- Evaluation:
- First 7, seatwork ‐ #s 18‐26
- Vocabulary:
- Co‐terminal, arc,
- Homework:
- Read “Arc Length” on page 235.
- Wed. Main Activity/Lesson:
- Evaluation:
- Vocabulary:
- Homework:
- Thurs. Main Activity/Lesson:
- Arc Length and Angular Speed
- Evaluation:
- seatwork – 27 – 32, p. 238
- Vocabulary:
- speed, arc, linear speed
- Homework:
- Handout/printout
- Fri. Main Activity/Lesson:
- QUIZ
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
View PDF
- Weekly Informational Knowledge Overview - (Students will know...)
- …the formula to find the arc length, linear
and angular speed;
…the difference between the linear speed and angular speed;
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …increase their interest in solving word
problems;
…apply the lesson to solve real world problems.
Monday
Tuesday
Wednesday
Thursday
Friday
- Mon. Main Activity/Lesson:
- Arc Length –
- Evaluation:
- Seatwork ‐ #s 27‐32, p. 238
- Vocabulary:
- Arc, length
- Homework:
- Define the terms: linear speed, angular speed and sector
- Tues. Main Activity/Lesson:
- Area of a Sector –
- Evaluation:
- Seatwork ‐ #s 34‐39,p. 238
- Vocabulary:
- speed, angular speed
- Homework:
- #s 42‐48, p. 239
- Learning Objective:
- Evaluation:
- Vocabulary:
- Homework:
- Thurs. Main Activity/Lesson:
- Area of a Sector –
- Evaluation:
- seatwork ‐ #s 43‐49, p. 239
- Vocabulary:
- Homework:
- Fri. Main Activity/Lesson:
- QUIZ DAY
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- Weekly Informational Knowledge Overview - (Students will know...)
- …the other facts about perpendicular lines;
Learn about the transformations of functions and how they can be manipulated.
Learn the ways that certain adjustments in functions can affect the shape/result.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …draw perpendicular lines;
…..Describe and graph transformations
…..Perform operations with functions
…..Compose two functions
…..Find a composite function with a
restricted domain
Monday
Tuesday
Wednesday
Thursday
Friday
- Mon. Main Activity/Lesson: Angle Relationship ‐
- Will study how to write equations for transformations. This will follow example 3 in the book on Page 48.
- Evaluation:
- Vocabulary:
- dilation, reflection
- Homework:
- Tues.Main Activity/Lesson:
- We will describe and graph transformations and graph piecewise functions.
- Evaluation:
- Seat work assignments
- Vocabulary:
- piece‐wise function
- Homework:
- #s 20‐37 on page 52.
- Wed.Thurs. Main Activity/Lesson:
- Evaluation:
- Vocabulary:
- Homework:
- Thurs. Main Activity/Lesson:
- Students will graph and describe graph transformations and review the previous materials
- Evaluation:
- Vocabulary:
- Homework:
- #s 39‐91 Odds on page 52
- Fri. Main Activity/Lesson:
- QUIZ DAY
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
View PDF
- Weekly Informational Knowledge Overview - (Students will know...)
- …the derivation of the law of sines and the
law of cosines;
…the definition of oblique triangle;
…how to apply these laws to solve real world problems;
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …solve the missing parts of oblique triangles
using the laws of sines and cosines;
…derive the formula of sines and cosines;
…apply the laws of sines and cosines in solving word problems.
Monday
Tuesday
Wednesday
Thursday
Friday
- Main Activity/Lesson:
- Solving Oblique Triangles – LAW OF SINES
- Evaluation:
- (Tuesday – since the derivation will be shown to the students)
- Vocabulary:
- oblique triangle
- Homework:
- Main Activity/Lesson:
- Law of Sines – Problem solving DAY 2
- Evaluation:
- Seatwork
- Vocabulary:
- Homework:
- Main Activity/Lesson:
- Evaluation:
- Vocabulary:
- Homework:
- Main Activity/Lesson:
- LAW OF COSINES – the derivation will be shown to the students
- Vocabulary:
- Homework:
- Main Activity/Lesson:
- SCHOOL TRIP
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …how to answer real‐world problems
involving oblique triangles;
…how to draw some problems and label it to easily solve each given problems;
…when to use the law of sines and the law of cosines;
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …answer real‐world problems involving
oblique triangles;
…draw some problems and label it to easily solve each given problems;
…apply the law of sines and cosines to find the required part of any oblique triangle in the problems.
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:
- Law of Sines and Cosines – Application to real‐world problems.
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Law of Sines and Cosines – Application to real‐world problems.
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Law of Sines and Cosines – Application to real‐world problems.
- Evaluation:
- Seatwork
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …how to verify identities using Pythagorean and reciprocal relations;
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …verify trigonometric identities using Pythagorean and reciprocal identities.
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- Reciprocal, Pythagorean and Quotient Identities
- Evaluation:
- Recitation
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Reciprocal, Pythagorean, and Quotient Identities (Day 2)
- Evaluation:
- Seatwork
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Verifying Identities – Pythagorean and reciprocal identities
- Language Objective:
- Main Activity:
- Evaluation:
- Seatwork
- Vocabulary:
- Homework:
- Learning Objective:
- QUIZ DAY
- Language Objective:
- Main Activity:
- 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:
- SEE LESSON PLAN DATED October 21‐25
- 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:
- 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.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
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:
- 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 application of sum and difference
identities to Harmonic Motion Equation;
…how to verify sum and difference identities;
…the exact values of each given identity/ function.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …verify trigonometric identities involving
sum and difference identities;
…apply the sum and difference identities to solve harmonic motion.
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- SUM and DIFFERENCE Identities
Derivation of Formula and Discussion
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- CO‐FUNCTION IDENTITIES
Derivation of Formula
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Proving identities
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- SCHOOL TRIP TO Manila
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …the application of sum and difference
identities to Harmonic Motion Equation;
…how to verify sum and difference identities;
…the exact values of each given identity/ function.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …verify trigonometric identities involving
sum and difference identities;
…apply the sum and difference identities to solve harmonic motion.
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- SUM and DIFFERENCE Identities
Proving Identities
Discussion (full period)
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Answer the given identities on the board.
- Learning Objective:
- Language Objective:
- Main Activity:
- PROVING IDENTITIES
Sum and Difference
- Evaluation:
- seatwork, first 7. drills
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Group work – SUM and DIFFERENCE
- Evaluation:
- Seatwork
- Vocabulary:
- Homework:
- Learning Objective:
- QUIZ # 1
- 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 solve trigonometric equations;
…the zeros of trigonometric functions in the interval [0, 2ㅠ]
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …solve trigonometric equations;
…find the zeros of trigonometric equations.
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- Solving Trigonometric Equations
Involving sum and difference identities
(DISCUSSION)
- Evaluation:
- Drills and seatwork
- Vocabulary:
- Homework:
- Exercises from the book
- Learning Objective:
- Solving Trigonometric Equations (DAY 2 ‐ Application)
- Language Objective:
- Main Activity:
- Evaluation:
- Seatwork
- Vocabulary:
- Homework:
- worksheet
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- (continuation…more examples)
Values of Trigonometric Functions in interval of [0, 2ㅠ]
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Review for the qui
- Learning Objective:
- QUIZ # 2
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …the derivation of double‐angle and half
angle formulas;
…how to verify identities involving double angle.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …verify identities with double angle and half
angle;
…derive the formula for double angle and half angle.
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- DOUBLE‐ANGLE IDENTITIES
Definition and derivation of formula
Introduction
- Evaluation:
- Drills
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Double‐Angle Identities
(DAY 2 – problem solving)
- Evaluation:
- exercises page 352
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Group work/Group activity
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- QUIZ # 3
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …the derivation of half‐angle and powerreducing
identities;
…how the half‐angle and power‐reducing identities help solve some trigonometric equations.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …solve trigonometric equations involving
half‐angle and power‐reducing formulas;
…derive the power‐reducing and half‐angle identities.
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- Introduction to Half‐Angle Identities
Derivation of Formula
Solving Trigonometric Equations
Involving Half‐Angle Identities
- Evaluation:
- Drill
- Vocabulary:
- Homework:
- Exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- HALF‐ANGLE IDENTITIES(Day 2)
Finding the exact value of given function with half‐angle
- Evaluation:
- Seatwork
- Vocabulary:
- Homework:
- Exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Power‐Reducing Identities
Introduction and Derivation of Formula
- Evaluation:
- Seatwork
- Vocabulary:
- Homework:
- Review for the quiz tomorrow
- Learning Objective:
- QUIZ # 4
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- Student will learn sum identities and the nature of multiple angles.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- Use an identity to reduce a power Solve an equation using the double‐angle identity Evaluate expressions involving double angles
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- Do again Section 5‐5, which is product to sum identities and multiple angles.
- Evaluation:
- SHORT QUIZ TODAY
- Vocabulary:
- Homework:
- 5‐5: 1‐53 ODDS
- Learning Objective:
- Language Objective:
- Main Activity:
- Students will learn how to use a product‐to‐sum or sum‐toproduct identity and also how to solve a equation using the sum‐to product identity.
- Evaluation:
- Vocabulary:
- Homework:
- 5‐5: 55‐89 ODDS
- Learning Objective:
- Language Objective:
- Main Activity:
- NO CLASS – BLOCK SCHEDULE
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Students will do the Study Guide and Review in the textbook on page 355.
- Evaluation:
- Vocabulary:
- Homework:
- #1‐10 in the Study Guide and Review page 355
- Learning Objective:
- Language Objective:
- Main Activity:
- CHAPTER 5 QUIZ TODAY
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …how to write identities to a single function;
…how to solve trigonometric equations involving product‐to‐sum identities.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …write identities to a single function;
…solve trigonometric equations involving product‐to‐sum identities.
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- Introduction to PRODUCT‐TO‐SUM IDENTITIES (Discussion for the whole period)
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- PRODUCT‐TO‐SUM IDENTITIES (…continuation)
- Evaluation:
- exercises, drills
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Application of the formula (Product‐to‐Sum)
- Evaluation:
- Seatwork and first 7
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- GROUP WORK ACTIVITY
- Evaluation:
- 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...)
- …how to express a sum identity to product
identity;
…how to solve trigonometric equation using sum‐to‐product identities.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …use or apply sum‐to‐product identities to
solve trigonometric equations;
…rewrite sum identities to product identities.
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- SUM‐TO‐PRODUCT IDENTITIES
(This is a week‐long discussion to Pre‐Calculus class)
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- SUM‐TO‐PRODUCT IDENTITIES
(This is a week‐long discussion to Pre‐Calculus class)
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- SUM‐TO‐PRODUCT IDENTITIES
(This is a week‐long discussion to Pre‐Calculus class)
- Evaluation:
- Vocabulary:
- Homework:
- 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
- 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...)
- …students shall be able to name the types of
polynomial functions based on the degree;
…identify the leading coefficient of a function and its degree to describe the end behavior of the graph;
…solve the polynomial functions using quadratic form.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …describe the end behavior of the graph of
polynomial functions by its leading
coefficient and degree;
…use quadratic form in solving polynomial functions.
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- POLYNOMIAL FUNCTIONS – definition and their types: Linear, Quadratic, Cubic, Quartic, Quintic
- Evaluation:
- drill, seatwork
- Vocabulary:
- Quartic, quintic
- Homework:
- exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- Describing the END BEHAVIOR OF THE POLYNOMIAL FUNCTIONS using LIMITS
- Evaluation:
- seatwork – exercises from the book
- Vocabulary:
- Limit
- Homework:
- exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- (continuation of) END BEHAVIOR OF POLYNOMIAL FUNCTIONS Some illustrative examples
- Evaluation:
- Group work
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Finding Zeros of Polynomial Function by QUADRATIC FORM
- Evaluation:
- drill, seatwork
- Vocabulary:
- quadratic
- Homework:
- exercises from the book
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …the students shall be able to use quadratic
form in finding the zeros of polynomial
functions;
…recall how to perform the synthetic and long division;
…describe the end behavior of any polynomial functions.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …find the remainder of a polynomial
function by synthetic substitution;
…perform the synthetic division and long division.
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- QUADRATIC FORM – continuation and more examples
- Evaluation:
- worksheet
- Vocabulary:
- Homework:
- review for the quiz
- Learning Objective:
- Language Objective:
- Main Activity:
- QUIZ # 1
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- SYNTHETIC DIVISION AND LONG DIVISION – A short review
- Evaluation:
- seatwork
- Vocabulary:
- Homework:
- exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- THE REMAINDER THEOREM ‐ If a polynomial function f(x) is divided by the binomial x – c, then f(c) is the remainder.
- Evaluation:
- exercises from the book
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …the students shall be able to write the
given polynomials in factored form;
…the students shall be able to apply the rational zero theorem to find the zero/s of a polynomial;
…students shall be able to follow the Des Cartes’ Rule of Signs in finding the zero/s of a polynomial.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …the given polynomials in factored form;
…apply the rational zero theorem to find the zero/s of a polynomial;
…follow the Des Cartes’ Rule of Signs in finding the zero/s of a polynomial.
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- FACTOR THEOREM – A polynomial has a factor of x – c if and only
if f(c) = 0
Discussion and Illustrative examples
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- RATIONAL ZERO THEOREM – If a zero of a polynomial f(x) is in the form p/q' then p is a factor of the constant term and q is a factor of the leading coefficient.
- Evaluation:
- seatwork, group work
- Vocabulary:
- Homework:
- exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- DES CARTES’ RULE OF SIGNS ‐ Definition and Discussion of the
lesson
Some illustrative examples
- Evaluation:
- seatwork, drill
- 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 students shall be able to apply the rational zero theorem to find the zero/s of a polynomial;
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …apply the rational zero theorem to find the zero/s of a polynomial;
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- FACTOR THEOREM – A polynomial has A factor of x – c if and only if f(c) = 0
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- RATIONAL ZERO THEOREM
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Seatwork and Drill
- 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 graph of rational equation;
…the conditions/exemptions for the value/s of rational equation;
…the definition of asymptote and hole;
…the difference of vertical, horizontal and oblique asymptote.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …to draw the graph of rational equation;
…to find the value/s of x that makes the equation undefined;
…to determine the vertical, horizontal and diagonal asymptote of a rational equation.
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:
- Rational Expression and Equation ‐ Its Graph and Solutions (Discussion for the whole period)
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- (Continuation of the lesson) (See lesson plan dated 26/2, Wednesday)
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- QUIZ # 3
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …the graph of oblique asymptote;
…how to solve the oblique asymptote;
…determine a hole of the graph of a rational function.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …to graph rational function with oblique
asymptote;
…to determine whether the graph of rational function has a hole.
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- OBLIQUE ASYMPTOTE – Graph of Rational Function Oblique Asymptote is the quotient when we divide the numerator and the Denominator.
- Evaluation:
- Drill
- Vocabulary:
- Homework:
- exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- (…continuation of OBLIQUE ASYMPTOTE) Graph of Rational Function with HOLE
- Evaluation:
- SEATWORK, Group work
- Vocabulary:
- Homework:
- exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- HOLE – Graphing Rational Functions
- Evaluation:
- Seatwork
- Vocabulary:
- Homework:
- Learning Objective:
- QUIZ # 4
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …the basic properties of logarithm;
…the relationship between exponential function and logarithmic function;
…how to rewrite exponential form to logarithmic form and vice versa.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …to recall the properties of logarithm and
exponential function;
…simplify logarithmic expressions using the exponential form of the function.
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- INTRODUCTION TO EXPONENTIAL FUNCTION
Rewriting exponential to logarithmic form of functions
- Evaluation:
- seatwork
- Vocabulary:
- Homework:
- exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- BASIC PROPERTIES OF LOGARITHM
- Evaluation:
- seatwork, drills
- Vocabulary:
- Homework:
- exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- PROPERTIES OF COMMON LOGARITHM
- Evaluation:
- seatwork, drill
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- PI DAY CELEBRATION
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …the simplified form of logarithmic function;
…the definition of domain, range, x and y
intercepts, axis of symmetry, vertical asymptote and end behavior of logarithmic function.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …to graph logarithmic function;
…to state the domain, range, x and y intercepts, axis of symmetry, asymptote and end behavior of logarithmic functions.
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- SIMPLFYING LOGARITHMIC EXPRESSIONS
- Evaluation:
- seatwork, group work
- Vocabulary:
- Homework:
- review for the quiz
- Learning Objective:
- Language Objective:
- Main Activity:
- QUIZ # 5
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- GRAPH OF LOGARITHMIC FUNCTION
- Language Objective:
- Main Activity:
- Evaluation:
- Seatwork
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- FINDING THE DOMAIN, RANGE, AXIS OF SYMMETRY, X AND Y INTERCEPTS AND END BEHAVIOR OF LOGARITHMIC FUNCTIONS
- Evaluation:
- Vocabulary:
- Homework:
- Exercises from the book
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …the product, quotient, and power
properties of logarithm;
…how to expand logarithmic expressions using the properties of logarithm;
…how to write expanded form of logarithm to a single logarithm.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …to write logarithmic expression to both expanded form and single logarithm.
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- PROPERTIES OF LOGARITHMIC FUNCTIONS
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- (continuation of) Properties of POWER AND QUOTIENT PROPERTIES
- Evaluation:
- seatwork, drills
- Vocabulary:
- Homework:
- review for the quiz
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- QUIZ # 6
- 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:
- MIDTERM EXAMS
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- MIDTERM EXAMS
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- MIDTERM EXAMS
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …evaluate exponential function;
…differentiate exponential from other types of functions;
…solve real‐world problems involving exponential growth and decay.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- EXPONENTIAL FUNCTION ‐ Definition and Graph
- Evaluation:
- seatwork and drill
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- EXPONENTIAL GROWTH – Compound Interest Formula
- Evaluation:
- seatwork, group work
- Vocabulary:
- Principal, deposit, withdrawal
- Homework:
- exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- …Continuation of the previous lesson
Exponential Growth / Exponential Decay
- Evaluation:
- Seatwork and drill
- Vocabulary:
- Homework:
- exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- Graph of EXPONENTIAL FUNCTION
Domain, Range, End behavior
- Evaluation:
- seatwork, drill
- Vocabulary:
- domain, range
- Homework:
- exercises from the book
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …apply the formula for exponential growth
and decay in solving word problems;
…determine whether each given problem is compounded continuously or not.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- Exponential Growth and Decay
- Evaluation:
- seatwork
- Vocabulary:
- Homework:
- review for the quiz
- Learning Objective:
- Language Objective:
- Main Activity:
- QUIZ Day
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- HOLIDAY – Labor Day
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- EXPONENTIAL AND LOGARITHMIC EQUATIONS –
Definition and examples
- 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...)
- …how to solve exponential and logarithmic
equations;
…how to apply exponential and logarithmic equations in solving word problems.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- EXPONENTIAL AND LOGARITHMIC EQUATIONS
- Evaluation:
- SEATWORK
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- WORD PROBLEMS – Application of Exponential and Logarithmic Equations
- Evaluation:
- seatwork, drills
- Vocabulary:
- Homework:
- review for the quiz
- Learning Objective:
- Language Objective:
- Main Activity:
- WORD PROBLEMS – Application of Exponential and Logarithmic Equations
- Evaluation:
- seatwork, drills
- 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 different terms often appear in
Calculus;
…how the formula
was
derived;
- Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- Definition of Terms in Calculus E.g. slope, derivative, domain, range
- Evaluation:
- seatwork, drills
- Vocabulary:
- Homework:
- exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- INTRODUCTION TO DIFFERENTIAL CALCULUS
- Evaluation:
- seatwork, drills
- Vocabulary:
- Homework:
- exercises from the book
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- 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...)
- …the limits of reciprocal functions at infinity.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- LIMITS OF A FUNCTION AT INFINITY
- Evaluation:
- SEATWORK, DRILLS
- Vocabulary:
- Homework:
- EXERCISES FROM THE BOOK
- Learning Objective:
- Language Objective:
- Main Activity:
- QUIZ # 3
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- LIMITS OF RECIPROCAL FUNCTIONS AT INFINITY
- Evaluation:
- SEATWORK, DRILLS
- Vocabulary:
- Homework:
- EXERCISES FROM THE BOOK
- Learning Objective:
- Language Objective:
- Main Activity:
- INTRODUCTION TO TANGENT AND VELOCITY
- Evaluation:
- seatwork, drills
- Vocabulary:
- Homework:
- exercises from the book
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …the derivation of a formula;
…how to apply the formula of the rate of change.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- DERIVATION OF THE FORMULA ‐
- Evaluation:
- seatwork, drills
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- APPLICATION OF THE FORMULA-
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- 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...)
- Students will learn the dynamics polar coordinates and how to work with polar equations.
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- Graph points on a polar grid
Graph polar coordinates
Find the distance between polar coordinates Graph polar equations
Graph polar equations by plotting points
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- Chapter 9‐1 Polar Coordinates. Students will begin studying chapter 9 materials, but won’t finish due to limited time this year.
- Evaluation:
- Vocabulary:
- polar coordinate system, pole, polar axis,
- Homework:
- 9‐1: 1‐49 ODDS
- Learning Objective:
- Language Objective:
- Main Activity:
- Section 9‐2: Graphs of Polar Equations
- Evaluation:
- Vocabulary:
- limacon, cardiod, rose
- Homework:
- 9‐2: 1‐61 ODDS
- Learning Objective:
- Language Objective:
- Main Activity:
- NO CLASS – BLOCK SCHEDULE
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- Section 9‐3 of the book, Polar and Rectangular Forms of Equations. Students will learn about polar coordinates to rectangular coordinates. They will also examine conversion of coordinates.
- Evaluation:
- Seatwork and in‐class demonstrations
- Vocabulary:
- Homework:
- 9‐3, #1‐45 ODDS
- Learning Objective:
- Language Objective:
- Main Activity:
- REVIEW SECTIONS 1‐3 of CH 9 and take a quiz.
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-
- Weekly Informational Knowledge Overview - (Students will know...)
- …Review for exam..
- Weekly Procedural Knowledge Overview - (Students will be able to...)
- …Review for exam.
Monday
Tuesday
Wednesday
Thursday
Friday
- Learning Objective:
- Language Objective:
- Main Activity:
- BEGIN REVIEW FOR THE CHAPTER TEST
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- GIVE CHAPTER TEST
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- NO CLASS BLOCK SCHEDULE
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- REVIEW FOR THE FINAL CUMULATIVE EXAM.
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- REVIEW FOR THE FINAL CUMULATIVE EXAM.
- 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:
- FINAL REVIEW SESSION BEFORE THE EXAMS. THIS IS EXAM WEEK, SO NO FURTHER INSTRUCTION
- Evaluation:
- Vocabulary:
- Homework:
- 9‐1: 1‐49 ODDS
- Learning Objective:
- Language Objective:
- Main Activity:
- FINAL EXAM
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- FINAL EXAM
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- FINAL EXAM
- Evaluation:
- Vocabulary:
- Homework:
- Learning Objective:
- Language Objective:
- Main Activity:
- FINAL EXAM
- Evaluation:
- Vocabulary:
- Homework:
- Materials / Resources (including technology)
- State of Minnesota Standards Covered
-