Connecting to Higher Education

Ensuring Teacher Quality: Algebra II (Spring 2005)

All files are PDF unless otherwise indicated.

1. Front Matter, Acknowledgements, and Table of Contents
2. Overview for the Facilitator
1. Overview
2. Course Syllabus/Timeline
3. State Standards and Objectives
1. Algebra I TEKS and cover page
2. Algebra II TEKS and cover page
3. Grade 9 TAKS Objectives and cover page
4. Grade 10 TAKS Objectives and cover page
5. Grade 11 TAKS Objectives and cover page
6. TExES Preparation Manual: Mathematics, Grades 8-12
7. State Board for Educator Certification Standards and cover page
4. Course Content
1. Introduction
2. Algebra II Content

   Strand 0: Journaling Throughout the Course

   Strand 1: Foundations of Functions

   Topic 1.1: Linking Foundations

   • Task 1.1.1: Patty Paper Transformations
   • Task 1.1.2: Transformations with Technology
   • Task 1.1.3: Exploring Notation Differences in Geometry and Algebra

   Topic 1.2: Transformations

   • Task 1.2.1: Exploring Transformations
   • Task 1.2.2: Domains
   • Task 1.2.3: Transformations with Technology
   • Task 1.2.4: Summarize Findings
   • Task 1.2.5: Reflect and Apply

   Topic 1.3: Applying Transformations

   • Task 1.3.1: Good Viewing Windows
   • Task 1.3.2: Friendly Viewing Windows
   • Task 1.3.3: Reflect and Apply
   • Task 1.3.4: Matching Parent Functions
   • Task 1.3.5: Tree Growth (Part I, II, and III)
   • Task 1.3.6: Two Transformations
   • Task 1.3.7: Describing Transformations

   Topic 1.4: Making Connections

   • Task 1.4.1: Inverses, Relations, and Functions
   • Task 1.4.2: Patty Paper Reflections
   • Task 1.4.3: Graphical Solutions

   Strand 2: Linear Functions

   Topic 2.1: Linear Patterns

   • Task 2.1.1: Generating Patterns
   • Task 2.1.2: Finite Differences

   Topic 2.2: Slope and Rate of Change

   • Task 2.2.1: Average Rates of Change
   • Task 2.2.2: What Makes a Function Linear?

   Topic 2.3: Matrices

   • Task 2.3.1, parts a and b: Car Rental Model: An Application of Matrices
   • Task 2.3.2: Does It Matter Where the Day Begins?
   • Task 2.3.3: Transformations Using Matrices
   • Task 2.3.4: School Fundraiser
   • Task 2.3.5: Flying Through the St. Louis Gateway Arch

   Topic 2.4: Applications of Linear Programming

   • Task 2.4.1: Cotton vs. Corn
   • Task 2.4.2: Linear Programming Applications

   Strand 3: Quadratic Functions

   Topic 3.1: Uncovering Quadratics

   • Task 3.1.1: Ball Drop
   • Task 3.1.2: Throwing
   • Task 3.1.3: Counting Diagonals

   Topic 3.2: Digging Deeper

   • Task 3.2.1: Putting It Together
   • Task 3.2.2: When Does a Quadratic Function Do That?

   Topic 3.3: Applications

   • Task 3.3.1: Maximizing Revenue and Profit
   • Task 3.3.2: Making Application Problems Richer
   • Task 3.3.3: "Shocking" Numbers

   Strand 4: Square Root Functions

   Topic 4.1: Inverse Functions

   • Task 4.1.1: Square Root Functions as Inverse Functions
   • Task 4.1.2: Undoing a Square Root and Undoing a Square?

   Topic 4.2: Applications

   • Task 4.2.1: I Can See Forever...
   • Task 4.2.2: The Pendulum Swings
   • Task 4.2.3: Truth or Consequences

   Strand 5: Power, Polynomial, and Rational Functions

   Topic 5.1: Power Functions

   • Task 5.1.1: Introduction to Power Functions
   • Task 5.1.2: Comparing Power Functions
   • Task 5.1.3: Comparing Functions: Who Wins?

   Topic 5.2: Polynomial Functions

   • Task 5.2.1: What's the Long Run? What's the Short Run?
   • Task 5.2.2: Reflect and Apply

   Topic 5.3: Rational Functions

   • Task 5.3.1: Rational Functions and Their Reciprocals
   • Task 5.3.2: Functions and Their Quotients
   • Task 5.3.3: Rational Functions and Asymptotes
   • Task 5.3.4: Reflect and Apply: Summary
   • Task 5.3.5: Reflect and Apply: Writing Function Rules
   • Task 5.3.6: Reflect and Apply: Summarize and Simplify
   • Task 5.3.7: Reflect and Apply: Create a Lesson
   • Task 5.3.8: You're Toast, Dude!

   Strand 6: Exponentials and Logarithms

   Topic 6.1: Characteristics of Exponentials and Logarithms

   • Task 6.1.1: Linear vs. Exponential Models
   • Task 6.1.2: What is x when y = b^x?
   • Task 6.1.3: Properties of Logarithms

   Topic 6.2: Applications

   • Task 6.2.1: E. coli Growth Rate
   • Task 6.2.2: Bacteria Growth
   • Task 6.2.3: Exponential Decay

   Strand 7: Conic Sections

   Topic 7.1: Intersection of a Plane and a Cone

   • Task 7.1.1: Slicing the Cone — Student Activity
   • Task 7.1.2: The Cone and the Intersecting Plane

   Topic 7.2: Locus Definitions of Conic Sections

   • Task 7.2.1: Locus Definitions of Conic Sections
   • Task 7.2.2: Verifying Equations of Conic Sections with Technology

   Topic 7.3: Graphing Conics

   • Task 7.3.1: Graphing Conics Ax² + Cy² + Dx + Ey + F = 0
   • Task 7.3.2: Graphing Conics Ax²+ Bxy + Cy² + Dx + Ey + F = 0
   • Task 7.3.3: Changing Parameters
   • Task 7.3.4: Conics in General Form Ax² + Cy² + Dx + Ey + F = 0

   Topic 7.4: Applications of Conic Sections

   • Task 7.4.1: Radio Astronomy
   • Task 7.4.2: Earthquake Energy
   • Task 7.4.3: An Arching Dilemma
   • Task 7.4.4: LORAN
   • Task 7.4.5: Rocket Engine Design
   • Task 7.4.6: Communication Satellite Mission Design
3. Related Resources
4. Algebra II Pre/Post Test and Key
5. Course Follow-Up
1. Leader's Resource Guide
1. Introduction to Leader's Resource Guide
2. Materials for a study of Improving Algebra I End-of-Course Exam Scores: Evidence from the Field: Text and PowerPoint presentation
3. Materials for a Format of the TEKS presentation: Text and PowerPoint presentation
4. Materials for a Programmatic Nature of the TEKS presentation: Text, PowerPoint presentation, and vertical articulation chart
5. Materials for Examining Student Work presentation: Text, Handouts, PowerPoint presentation
6. Leader's Resource Guide References
2. Evaluation
1. Introduction
2. Classroom Observation Protocol
3. Participant Questionnaire