ma402 – teacher resource guide · pre-calculus will expand your knowledge of algebra (the...

©2013 FlipSwitch. All rights reserved. 1

MA402 – Advanced Math B

MA402 – Teacher Resource Guide

Mateusz Zagorski/Photos.com

Hemera Technologies/Photos.com

COURSE OVERVIEW

Franck Boston/Photos.com

CURRICULUM MAP

Comstock Images/Photos.com COURSE SYLLABUS

MA402: Advanced Math B


MA402 – Advanced Math B – Course Overview At the beginning of every lesson, students complete a Key Terms activity to practice new vocabulary. After which students will see a Text presentation for each major concept within the lesson. Thereafter each lesson includes a discussion board prompt and a project to complete. An assessment (see below) comes between the last activity and the discussion and projects. Ultimately each lesson finishes with a Lesson Summary. In the chart below, you will see which lessons contain interactive elements aside from these, as well as what assessments are given in each lesson.

Unit Lessons Special Activities

Interactivity Assessment

1: Properties of Functions

1. Defining Functions

2. Defining Rational Functions

3. Solving Rational Functions

4. Matrices and Manipulating Functions

5. Graphing Functions

1. Pre-Test; Checkpoint 01

2. Checkpoint 02 3. Checkpoint 03 4. Checkpoint 04 5. Exam 1

Home





2: Solving and Graphing Functions

6. Graphs 7. Asymptotes 8. Ellipses and

Hyperbolas 9. Rational

Functions in the Real World

10. Systems of Linear Equations

6. Checkpoint 06 7. Checkpoint 07 8. Checkpoint 08 9. Checkpoint 09 10. Exam 2



3: Equations, Inequalities, and Exponents

11. Solving Systems of Inequalities

12. Functions in Two or More Variables

13. Exponents and Exponential Functions

14. Rules of Exponents

15. Applications of Exponential Functions


Home





4: Exponential and Logarithmic Functions

16. Graphs of Exponential Functions

17. Irrational e 18. Complex

Numbers 19. Logarithms 20. Graphs of

Logarithms




5: Sequences, Series, and Limits

21. Sequences and Series

22. Divergence and Convergence of Series

23. Sigma Notation and the Binomial Theorem

24. Euler’s Formula and Special Series

25. Limits


Home





6: Calculus 26. Finding Limits 27. Definite

Integrals 28. Indefinite

Integrals 29. Infinite Limits 30. Review and

Final Exam

26. Checkpoint 26 27. Checkpoint 27 28. Checkpoint 28 29. Exam 6 30. Final Exam

Home Home Home

MA402: Advanced Math B ………………………………………………………………………………………………………………


MA402 – Advanced Math B COURSE SYLLABUS Suggested Prerequisite: MA401

Course Description

Pre-calculus will expand your knowledge of Algebra (the language of mathematics) as you make the transition to college level mathematics. Some of the topics will be familiar to you, and you will explore them in greater depth than you have in the past. Other topics will be entirely new. This course covers functions and their graphs, equations and inequalities, polynomial and rational functions, exponential and logarithmic functions, sequences and series, and analytic geometry. By the time you complete this course, you will be prepared for Calculus!

Required Materials

• Graphing Calculator (online or hand-held) • Internet Browser

Course Overview

This course is made up of six units. Each unit has five lessons. Lessons will present the material in many different ways to allow for increased comprehension of information. Some activities are graded by the program software, and others will be graded by the instructor. It is recommended that the course instructor be contacted for further information about course guidelines and grading policies.

Course Organization

At the beginning of each unit is a brief description of the intended learning outcomes. Following the introduction, a set of activities will take place:

Glossary / Key Terms – This activity introduces vocabulary in context for the lesson to help you prepare for the lessons ahead.

Lesson Content – This may include interactive activities, readings, videos, practice activities, etc. Most of these will have graded workbook questions.

Project – This is an assessment graded by the instructor that requires application of knowledge and writing capabilities to demonstrate mastery of the unit and lesson content.

Discussion Board – This activity is graded by the instructor and allows the student to interact and communicate with classmates and the instructor about lesson content.

Checkpoint – This graded activity uses 10 questions to assess mastery of lesson objectives. The Checkpoint may be taken up to three times.

Home



Unit Exam – At the end of the unit is an exam that will assess mastery of the unit objectives. It may be taken only once.

End of Lesson – This is an activity designed to review the information and content learned.

Schedule of Work Unit 1: Properties of Functions

• Course Pretest • Videos and Text on Defining Functions, Defining Rational Functions, Solving Rational Functions,

Matrices and Manipulating Functions, and Graphing Functions. • Workbook Assessments • Discussions • Project 1 • Checkpoints 1-4 • Review • Unit 1 Exam

Unit 2: Solving and Graphing Functions

• Videos and Text on Graphs, Asymptotes, Ellipses and Hyperbolas, Rational Functions in the Real World, and Systems of Linear Equations.

• Workbook Assessments • Discussions • Project 2 • Checkpoints 6-9 • Review • Unit 2 Exam

Unit 3: Equations, Inequalities, and Exponents

• Videos and Text on Solving Systems of Inequalities, Functions in Two or More Variables, Exponents and Exponential Functions, Rules of Exponents, and Applications of Exponential Functions.


Unit 4: Exponential and Logarithmic Functions

• Videos and Text on Graphs of Exponential Functions, Irrational e, Complex Numbers, Logarithms, and Graphs of Logarithms.

• Workbook Assessments • Discussions

Home



• Project 4 • Checkpoints 16-19 • Review • Unit 4 Exam

Unit 5: Sequences, Series, and Limits

• Videos and Text on Sequences and Series, Divergence and Convergence of Series, Sigma Notation and the Binomial Theorem, Euler’s Formula and Special Series, and Limits.


Unit 6: Calculus

• Videos and Text on Finding Limits, Definite Integrals, Indefinite Integrals, and Infinite Limits. • Workbook Assessments • Discussions • Project 6 • Checkpoints 26-28 • Review • Course Final Exam

Home



Home

ma402 – teacher resource guide · pre-calculus will expand your knowledge of algebra (the...

Documents