POTENTIAL SYLLABUS: ALGEBRA I
Miss Hall's School



PRIMARY TEXT:

One Mathematical Cat, Please! A First Course in Algebra, by Carol J.V. Fisher. This text is in progress.

There are 121 class meetings in the 2004–2005 academic year: 62 in the Fall term, and 59 in the Spring term. Algebra I meets four days per week, typically Monday, Tuesday, Wednesday, and Friday, with 50 minutes per class.

This schedule offers an approximate syllabus that will complete the course objectives by year's end.

  1. Welcome! Go over syllabus.
  2. Section 1. The Language of Mathematics
  3. Section 2. Brushing up on Basic Arithmetic Skills
  4. Section 3. The Real Numbers
  5. extra day
  6. Section 4. Addition of Signed Numbers
  7. extra day
  8. Section 5. Subtraction of Signed Numbers
  9. Section 6. Average
  10. Section 7. The Base Ten Number System
  11. Section 8. Decimals
  12. extra day
  13. Section 9. Mathematicians are Fond of Collections
  14. extra day
  15. Section 10. Holding This, Holding That
  16. extra day
  17. extra day
  18. Section 11. Introduction to Fractions
  19. Section 12. Multiplying Fractions
  20. extra day
  21. Section 13. Adding Fractions
  22. extra day
  23. Section 14. I Live Two Blocks West Of You
  24. extra day
  25. Section 15. Numbers Have Lots of Different Names!
  26. extra day
  27. Section 16. Exact versus Approximate
  28. extra day
  29. Section 17. Rounding
  30. Section 18. Unit Conversion
  31. extra day
  32. Section 19. More Unit Conversion
  33. extra day
  34. Section 20. Exponent Notation
  35. extra day
  36. Section 21. Exponent Laws
  37. extra day
  38. Section 22. Radicals
  39. extra day
  40. Section 23. Rational Exponents
  41. extra day
  42. Section 24. The Distributive Law
  43. extra day
  44. Section 25. Revisiting Exponents
  45. extra day
  46. Section 26. FOIL and more
  47. extra day
  48. Section 27. These Sentences Certainly Look Different!
  49. extra day
  50. Section 28. Introduction to Factoring
  51. extra day
  52. Section 29. Greatest Common Factor
  53. extra day
  54. extra day
  55. extra day
  56. extra day
  57. extra day
  58. extra day
  59. MIDTERM EXAM
  60. ENDTERM EXAM
  61. REVIEW FOR FINAL EXAM
  62. REVIEW FOR FINAL EXAM


    63. END OF FALL TERM


  63. Section 30. Transforming Tool #1 (the Addition Property of Equality)
  64. extra day
  65. Section 31. Transforming Tool #2 (the Multiplication Property of Equality)
  66. Section 32. Solving Linear Equations in One Variable
  67. extra day
  68. Section 33. Solving Linear Inequalities in One Variable


    69. This completes the printed text.
    New sections will be distributed to instructors, and posted on the web, as they become available.
    The following sections may change slightly, but this is the basic material that should be covered during the second term.

  69. Section 34. Introduction to Absolute Value
  70. extra day
  71. Section 35. Solving Absolute Value Equations
  72. Section 36. Solving Absolute Value Inequalities Involving "Less Than"
  73. Section 37. Finishing Up Absolute Value Sentences
  74. extra day
  75. Section 38. Factoring a Difference of Squares
  76. extra day
  77. Section 39. Factoring Trinomials
  78. extra day
  79. Section 40. Solving Quadratic Equations by Factoring
  80. extra day
  81. Section 41. More on Quadratic Equations
  82. extra day
  83. Section 42. Percent Increase and Decrease
  84. extra day
  85. Section 43. Introduction to the Coordinate Plane
  86. extra day
  87. Section 44. Lines
  88. extra day
  89. Graphing Simple Equations in Two Variables (the "Basic Models")
  90. extra day
  91. Horizontal and Vertical Lines
  92. extra day
  93. Story Problems Involving Lines
  94. extra day
  95. Scientific Notation and Significant Digits
  96. extra day
  97. Ratios and Proportions
  98. extra day
  99. Solving for a Particular Variable
  100. extra day
  101. Introduction to Functions
  102. extra day
  103. Function Notation
  104. extra day
  105. Graph of a Function
  106. extra day
  107. Polynomials
  108. Pythagorean Theorem
  109. extra day
  110. Distance Formula
  111. extra day
  112. extra day
  113. extra day
  114. extra day
  115. extra day
  116. extra day
  117. extra day
  118. MIDTERM EXAM
  119. ENDTERM EXAM
  120. REVIEW FOR FINAL EXAM
  121. REVIEW FOR FINAL EXAM


    122. END OF SPRING TERM