Mathematics
Video Lectures - Algebra I
Publisher: Teaching Company, 2005, 36pp, 3rd ed.
Inspired and informed by research on the teaching and learning of algebra, Dr. Monica Neagoy gives functions a "front stage" role in her Algebra I course design. After a historical overview of the evolution of algebra, she explores the various families of functions, in a logical and ascending order from linear to quadratic to rational and, finally, to the family of exponential functions.
Table of contents
| 1. | An Introduction to the Course |
| 2. | Order of Operations |
| 3. | Percents, Decimals, and Fractions |
| 4. | Variables and Algebraic Expressions |
| 5. | Operations and Expressions |
| 6. | Principles of Graphing in 2 Dimensions |
| 7. | Solving Linear Equations, Part 1 |
| 8. | Solving Linear Equations, Part 2 |
| 9. | Slope of a Line |
| 10. | Graphing Linear Equations, Part 1 |
| 11. | Graphing Linear Equations, Part 2 |
| 12. | Parallel and Perpendicular Lines |
| 13. | Solving Word Problems with Linear Equations |
| 14. | Linear Equations for Real-World Data |
| 15. | Systems of Linear Equations, Part 1 |
| 16. | Systems of Linear Equations, Part 2 |
| 17. | Linear Inequalities |
| 18. | An Introduction to Quadratic Polynomials |
| 19. | Factoring Trinomials |
| 20. | Quadratic Equations—Factoring |
| 21. | Quadratic Equations—The Quadratic Formula |
| 22. | Quadratic Equations—Completing the Square |
| 23. | Representations of Quadratic Functions |
| 24. | Quadratic Equations in the Real World |
| 25. | The Pythagorean Theorem |
| 26. | Polynomials of Higher Degree |
| 27. | Operations and Polynomials |
| 28. | Rational Expressions, Part 1 |
| 29. | Rational Expressions, Part 2 |
| 30. | Graphing Rational Functions, Part 1 |
| 31. | Graphing Rational Functions, Part 2 |
| 32. | Radical Expressions |
| 33. | Solving Radical Equations |
| 34. | Graphing Radical Functions |
| 35. | Sequences and Pattern Recognition, Part 1 |
| 36. | Sequences and Pattern Recognition, Part 2 |