Connecting to Higher Education

Ensuring Teacher Quality: Algebra I (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 I Content

   Strand 1: Foundations of Functions

   Topic 1.0: Classroom Connections

   Topic 1.1: Identifying Patterns

   • Task 1.1.1: Increasing Patterns
   • Task 1.1.2: Decreasing Patterns
   • Task 1.1.3: Area Patterns
   • Task 1.1.4: Patterns with Negatives
   • Task 1.1.5: From Graphs to Patterns
   • Task 1.1.6: From Functions to Graphs
   • Task 1.1.7: Pattern Application

   Topic 1.2: Independent and Dependent

   • Task 1.2.1: Definition of Function
   • Task 1.2.2: Independent and Dependent Statements
   • Task 1.2.3: Mathematical Definition of Functions
   • Task 1.2.4: Exploring Dependent and Independent
   • Task 1.2.5: The ABCs of Walking!
   • Task 1.2.6: Cage the Cats

   Topic 1.3: Changing Perimeter (Capstone)

   • Task 1.3.1: Changing Perimeter — Teacher Activity
   • Task 1.3.2: Changing Perimeters x — Student Activity
   • Task 1.3.3: Changing Perimeters y — Student Activity
   • Task 1.3.4: Changing Perimeters x and y — Student Activity
   • Task 1.3.5: Changing Area — Student Activity

   Topic 1.4: Classroom Connections Revisited

   Strand 2: Linear Functions

   Topic 2.0: Classroom Connections

   Topic 2.1: Parent Function

   • Task 2.1.1: What's the Perimeter?
   • Task 2.1.2: Shooting Percentages
   • Task 2.1.3: Over or Under?

   Topic 2.2: Formalizing Slope and y-Intercept

   • Task 2.2.1: Cups, Cups, Cups
   • Task 2.2.2: Describe Stacking Cups
   • Task 2.2.3: What's the New Rental Cost?
   • Task 2.2.4: Slope and y-Intercept Summary

   Topic 2.3: y = mx

   • Task 2.3.1: Formal Development of Slope
   • Task 2.3.2: The Height Function — Applying Slope
   • Task 2.3.3: Boxes of Hexagons — Solving Equations Based on the Height Function
   • Task 2.3.4: The Count Function
   • Task 2.3.5: The Relationship Between the Height Function and the Count Function
   • Task 2.3.6: Paths Between Graphs I

   Topic 2.4: Stack of Cups

   • Task 2.4.1: The Height Function
   • Task 2.4.2: The Range and Relationship of the Size Parameters C and S
   • Task 2.4.3: Boxes of Cups — Solving Equations Based on the Height Function
   • Task 2.4.4: The Count Function
   • Task 2.4.5: The Relationship of the Height Function and the Count Function
   • Task 2.4.6: "Stack Space" and "Cup Space"
   • Task 2.4.7: Direct Proportionality
   • Task 2.4.8: Paths Between Graphs II

   Topic 2.5: Applications of Slope and Intercept

   • Task 2.5.1: Jet Ski Rental

   Topic 2.6: Fill It Up

   • Task 2.6.1: Fill It Up Part 1 — Height vs. Ounces
   • Task 2.6.2: Fill It Up Part 2 — Height vs. Ounces

   Topic 2.7: Connections — Changes in M and B Graphical, Tabular and Symbolic

   • Task 2.7.1: Slopes and Intercepts
   • Task 2.7.2: And the Story Changes
   • Task 2.7.3: Change, Change, Change
   • Task 2.7.4: The ABCs of Graphing

   Topic 2.8: Reflections

   • Task 2.8.1: Reflections
   • Task 2.8.2: Reflections About the y-axis
   • Task 2.8.3: Reflections About the x-axis
   • Task 2.8.4: Reflections About the line y=x
   • Task 2.8.5: Reflections Summary
   • Task 2.8.6: Animating Your Reflections

   Topic 2.9: Solving Equations Using Concrete Models

   • Task 2.9.1: Algebra Tiles
   • Task 2.9.2: Algebra Tiles with Negative Units
   • Task 2.9.3: Graphing Intersections
   • Task 2.9.4: Algebra Tiles and Rational Equations
   • Task 2.9.5: Alicia's Homework
   • Task 2.9.6: Tile Patterns

   Topic 2.10: Probability

   • Task 2.10.1: What's the Chance? — Equations
   • Task 2.10.2: More Chances, More Numbers — Is There a Pattern?
   • Task 2.10.3: What's the Chance? — Slope
   • Task 2.10.4: What's the Chance? — Area

   Topic 2.11: Building with Blocks — Child's Play

   • Task 2.11.1: Building with Blocks — Child's Play

   Topic 2.12: Systems of Equations

   • Task 2.12.1: Donkey Basketball Fundraiser
   • Task 2.12.2: Susie's Homework

   Topic 2.13: Scavenger Hunt (Capstone — teacher version)

   • Task 2.13.1: Looking for Treasure
   • Task 2.13.2: Find It Yet?
   • Task 2.13.3: Look Again!
   • Task 2.13.4: One More Look
   • Task 2.13.5: Scavenger Hunt — student version

   Topic 2.14: Classroom Connections Revisited

   Strand 3: Quadratic and Nonlinear Functions

   Topic 3.0: Classroom Connections

   Topic 3.1: Pythagorean Theorem

   • Task 3.1.1: 45–45 Right Triangles
   • Task 3.1.2: 30–60 Right Triangles
   • Task 3.1.3: Diagonal Patterns

   Topic 3.2: Quadratics and Solutions

   • Task 3.2.1: Application — Nets and Changing Height
   • Task 3.2.2: Parameter Changes from Tables — Quadratic Solutions
   • Task 3.2.3: Parameter Changes from Tables — Look at the Moves
   • Task 3.2.4: Patterns of Projectiles — What Goes Up...
   • Task 3.2.5: Parameter Changes from Graphs — The Autobiography of a Cat

   Topic 3.3: Exponential Relationships

   • Task 3.3.1: Calculator Model for Exponential Functions
   • Task 3.3.2: One Grain of Rice
   • Task 3.3.3: Stars, Stars, Stars
   • Task 3.3.4: Exponential Decay — No Beans About It

   Topic 3.4: Inverse Variations

   • Task 3.4.1: Distance and Time
   • Task 3.4.2: Heat and Pressure

   Topic 3.5: Curves Ahead (Capstone)

   • Task 3.5.1: Curves Ahead — Teacher Version
   • Task 3.5.2: Discussion and Discovery
   • Task 3.5.3: Curves Ahead — Student Version

   Topic 3.6: Classroom Connections Revisited

3. Related Resources
4. Algebra I 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