Math Analysis Homepage

Welcome to Math Analysis

 

Mr. Lunney

[email protected]

 

The Course

Welcome to Math Analysis! This course is designed to prepare students for calculus. It covers statistics, trigonometry, exponential functions, logarithmic functions, and their applications. A grade of 'B' or better in Algebra 2 is a prerequisite for this course. Please bring a pencil or pen, your worksheets, a TI-83 or better scientific calculator and your Chromebook, laptop, tablet, or iPad to access our online content. Use of an electronic device is a privilege not a right. Do not work on other class assignments during our class. Demerits will be given if you are using your device for anything other than the topic at hand, and could eventually result in you no longer being allowed to use your device in class.

 

 

Flipped Classroom

I am running a flipped classroom environment for this course. This means students can watch lectures online for homework and then do their worksheets in class so I can help. I will also provide in-class instruction as well through lectures, but a majority of class time will be spent doing worksheets together as a class. We will be using the Pre-Calculus course found at www.flippedmath.com along with material from the Sullivan Pre-Calculus textbook. I will print out worksheets for each chapter and give them to students at the beginning of each Unit. Each lesson includes a review worksheet which may be completed for 5 extra credit points on homework. Our course assignments can be found in our Google Classroom and on the RHP Website under Academics – Math Department – Math Analysis. Please be sure to keep pace with the online calendar. Students who start falling behind will not be prepared for the test at the end of the Unit. I encourage students to subscribe to the calendar so they have their daily assignments with them at all times. If a student misses class they can find their assignment on our class calendar and print out their materials from flippedmath.com.

 

How to submit your work

Most Units include four to six different lessons. I will print out the entire unit so students can work ahead if they want. If you have questions about how to do a problem on your worksheets, you should ask questions throughout the week. You can turn in each lesson daily and get feedback along the way to check your understanding of the material, or you can turn the entire Unit in the day of the test BEFORE you take the test. Students need to turn in their worksheets on schedule with our calendar. When they finish a unit, they should immediately begin the next unit, watching the instructional videos as necessary. Most assignments have solutions to the problems online. I will also include video solutions of my own work to some problems so you can follow along while working on the problems.

 

Tests/Quizzes (60% of your grade)

Our primary test day is Thursday but may change depending on the schedule that week. Refer to our class calendar for upcoming test dates. I will have quizzes throughout the course to assess your knowledge according to the pacing guide. So please try not to fall behind! Students may only retake one test per semester, and I will keep the higher of the two scores in the gradebook. Retakes must be done PRIOR to finals week. We will have a final at the end of each Semester. The finals will be worth 25% of your grade for that semester. You must also pass the final with a 50% or higher to pass the class.

 

Classwork/Homework (15% of your grade)

There is a pacing guide on our class calendar so you can stay on task. The assignments are due the day after it is posted. For example, if I post an assignment for Tuesday, you should turn it in on Wednesday. Some students prefer to submit all the lessons for a Unit together after they complete the final assignment. That is ok, but PLEASE DO NOT FALL BEHIND! Do not plan to do all the worksheets in one evening either! But I also understand you may get home late from practice or a game one night and not be able to do your work. Just be sure you catch up the following day.

 

Accountability/Honor

These worksheets only account for 15% of your grade. The answers are all online. I even uploaded videos of myself solving many of the problems to help you out! So what does this mean? It means that some students will find it very easy to just cheat their way through the homework by copying the answers down, not really understanding the material. Those same students will NOT perform well on the quizzes or tests which are worth 60% of your grade. If you find you truly do not understand the material, you need to ask for help sooner rather than later so I can explain those harder concepts to you prior to the test! Watch the instructional videos, ask a friend for help, or ask me to explain the material in class! The goal is to LEARN, not to see who can COPY!

 

Textbook

Sullivan, Pre-Calculus. We will use our textbook as a supplement to the material on flippedmath.com. I will also utilize DESMOS, an online graphing program to help illustrate many of the harder concepts. Students are welcome to use DESMOS as a supplement to their homework, but will not have access to DESMOS on most tests. I will also integrate supplemental videos, activities, and worksheets from larsoncalculus.com, Kuta Math, Kahn Academy and the AP Central website.

 

Grading Scale:

 

93 – 100            A

90 – 92               A-

87 – 89               B+

83 – 86               B

80 – 82               B-

77 – 79               C+

73 – 76               C

70 – 72               C-

67 – 69               D+

63 – 66               D

60 – 62               D-

Below 60         F

Grades

Classwork & Homework                      15%

Tests and Quizzes                                60%

Final Exam                                            25%

 

 

Useful Websites

flippedmath.com

khanacademy.org

wolframalpha.com

desmos.com

 

 

 

Expanded Math Department SLOs

RHP Math students should read and think critically.

The student should be able to read the text material and examples and be able to extend what they have read to problem solving. They should attack new problems by relating them to previous problems or by researching the text and other materials. Students are often given an assignment to read the text and then answer the covering the reading problems without prior instruction. Problems from math contests are woven into courses to encourage creative thinking. Some classes give an SAT problem of the day. Also extended response questions are integrated from the Math Diagnostic Testing Project and through Accelerated Math.

RHP Math students should communicate clearly and effectively.

Students must show their work. The steps to solve a problem should be organized so that someone else can follow them. They must be able to frame meaningful questions. They should be able to use appropriate mathematical language. We create a classroom environment where students are encouraged to ask questions and explain their thinking. Occasionally we will give an extended response problem and the student's grade will be based on how well they are able to communicate their reasoning as well as the correctness of the response.

Math students should demonstrate personal, moral and social responsibility.

Students will be required to take notes. They must be able to follow directions. Students should always respect the ideas of others. Students should realize there is always more than one way to solve a problem. We expect students to come to class prepared by bringing necessary materials. As a faculty we also will recognize and reward random acts of kindness. Students may also demonstrate this ESLR by tutoring or mentoring a student in a lower level class.

Math students should value teamwork through participation.

Students should participate in class discussions and be able to ask and answer well-phrased questions. They should be able to work with other students in the class on a project. They should not let down their team, but actually work towards the solution. Projects will be given during the course of the year where students will be required to work with others on a team project. Students will be graded on how well they are able to contribute to the team and cooperate with the team.

Math students should develop skills to be lifelong learners.

Students should be able to take real-life situations and translate them into some type of mathematical model. They should investigate different approaches to the problem and decide on a plan of attack. We look at Star Math results, ACT/SAT scores, Math Diagnostic Test Project results, and Accelerated Math Objectives.

 

 

 

 

 

 

Semester 1

Unit 1 - Intro Skills
1.1 Multiple Representations
1.2 Linear Functions
1.3 Basic Factoring
Unit 1 REVIEW
Unit 1 Skillz Review

Unit 2 - Functions and Limits
2.1 Function Intro
2.2 Domain & Range Graphically
2.3 Limit at a Point Graphically
2.4 Limits Involving Infinity Graphically
Unit 2 REVIEW
Unit 2 Skillz Review

Unit 3 - Function Analysis
        3.1 Domain & Discontinuities Algebraically
3.2 Extrema
3.3 Piecewise Functions
Unit 3 REVIEW
        Unit 3 Skillz Review

Unit 4 - Function Algebra
4.1 Transformations
 4.2 Even and Odd Functions
4.3 Operations with Functions
4.4 Inverse Functions
Unit 4 REVIEW
        Unit 4 Skillz Review

Unit 5 - Polynomials
5.1 Operations on Polynomials
5.2 Polynomial Division & Factor Theorem
5.3 Polynomial Graphs
Unit 5 REVIEW
        Unit 5 Skillz Review

 Unit 6 - Rational Functions
6.1 Solve Rational Equations
6.2 Rational Functions
6.3 Graphing Rational Functions
6.4 Variation
Unit 6 REVIEW
Unit 6 Skillz Review

Unit 7 - Exponential & Logarithmic Functions
7.1 Exponential Functions
7.2 Logarithms
7.3 Solve Exponential/Logarithmic Equations
Unit 7 REVIEW
Unit 7 Skillz Review

Semester 2

Unit 8 - Intro to Trigonometry
 8.1 Angles and Degrees
8.2 Radians
8.3 Velocity (Angular versus Linear)
8.4 Basic Trig Functions
Unit 8 REVIEW
        Unit 8 Skillz Review

Unit 9 - Unit Circle
9.1 Reference Triangle & Reciprocal Trig
9.2 Reference and Special Angles
9.3 Evaluating Trig Functions
Unit 9 REVIEW
        Unit 9 Skillz Review

Unit 10 - Graphing Trig Functions
10.1 Graph Sine and Cosine
10.2 Phase Shift
10.3 Reciprocal Trig Functions
10.4 Inverse Trig Functions
Unit 10 REVIEW

Unit 11 - Trig Identities
11.1 Reciprocal Identities
11.2 Pythagorean Identities
11.3 Sum and Difference Identities
11.4 Double and Half Angle Identities
11.5 Trig Equations
   Unit 11 REVIEW
Unit 11 Skillz Review

Unit 12 - Solve Triangles
12.1 Law of Sines
12.2 Law of Cosines
12.3 Area of Triangles
Unit 12 REVIEW
Unit 12 Skillz Review

Unit 13 - Coordinate Systems
13.1 3D and Complex Planes
13.2 Polar Coordinates
Unit 13 REVIEW

Unit 14 - Series and Sequences
14.1 Series and Summation
14.2 Arithmetic vs Geometric
14.3 Binomial Theorem
Unit 14 REVIEW
Unit 14 Skillz Review

Unit 15 - Calculus Intro
15.1 Limits Analytically
15.2 Definition of the Derivative
15.3 Power Rule
Unit 15 REVIEW