Pre-Algebra

2009-2010 School Year
7th Grade

Contact

Instructor: Joyce Estes

Email: ~ Best means of contacting instructor. Response usually within 24 hours
Phone: (770)893-1201 ~ Home ~ Call M-W-F, 10:00 am – 3:00 pm EST

Office Hours: M-W-F, 10:00 am – 12:00 pm EST via Scheduled Live Chat and Whiteboard on DimDim

Course Description

Pre-Algebra is an advanced course for seventh graders. This year-long course prepares students to enter the study of Algebra I (a high school credited course) as eighth graders. The Pre-Algebra course bridges the student’s knowledge between arithmetic of the intermediate grades and the true mathematics of Algebra. The focus of the course is building the foundation necessary for success in the study of algebra.

This course is taken in a hybrid situation. Students will complete assignments, math labs, projects, and interact with teacher and peers on a regular basis both in the classroom and online. There will be opportunities to view lessons in video and audio, live via online classroom, as well as written in a wiki. Students will conduct work during regular class time with a teacher monitoring. However, all correspondence regarding material will be made with the online instructor. Tests and quizzes will be closed book and proctored during class time. Any assignments not completed during class time will need to be completed from home if internet access is available. If not, then it will be your responsibility to arrange computer lab time with the proctoring teacher, or attend a library for access.

Prerequisites

6th Grade Mathematics

Georgia Performance Standards
M7G1. Students will construct plane figures that meet given conditions.

M7G2. Students will demonstrate understanding of transformations.

M7G3. Students will use the properties of similarity and apply these concepts to

geometric figures.

M7G4. Students will further develop their understanding of three-dimensional

figures.

M7A1. Students will represent and evaluate quantities using algebraic expressions.

M7A2. Students will understand and apply linear equations in one variable.

M7A3. Students will understand relationships between two variables.
M7D1. Students will pose questions, collect data, represent and analyze the data,

and interpret results.
M7P1. Students will solve problems (using appropriate technology).
M7P2. Students will reason and evaluate mathematical arguments.
M7P3. Students will communicate mathematically.
M7P4. Students will make connections among mathematical ideas and to other

disciplines.
M7P5. Students will represent mathematics in multiple ways.

Required Textbooks

Middle School Math Course 2by Jennie M. Bennett, David J. Chard, Audrey Jackson, Jim Milgram, Janet K. Scheer & Bert K. Waits, 2005, Holt, Rinehart and Winston.
Further web resources will be supplied in the course.

Required resources

Wiki Location:
Online Classroom: ~ Login and password will be provided to you by instructor

Individual Online Instructor/Student Meeting Area:

Required Technology

You are required to use WiZiQ, MS Word, Adobe Reader, and reliable Internet access. You must utilize your school e-mail account on a regular basis. You will submit assignments to me through my wiki or email. Tests and/or quizzes will be taken either on WiZiQ, or on paper administered by a proctor. You will have a workspace account on my wiki on PBWorks for you to access your course materials, post your replies to discussions, and to access resources. Grades will be provided to you via your email. These individual requirements will be provided to you by your school.

COMMUNICATION

You are strongly encouraged to communicate with your classmates and the instructor on a regular basis.

• Email: Use school email if one is provided

• Discussion Board:You should post questions, responses and discussions related to each assignment to the course discussion area. Also, use the discussion area to communicate with other students. The discussion area is public information. Any distasteful orinappropriate language or discussion not pertaining to the question at hand can and/or will be deleted by the instructor. Please do not use slang or improper English. Be courteous. 

Course Objectives

After completing the course, students will be able to:

  • Add, subtract, multiply, divide, and rise to a power whole numbers, integers, fractions, and decimals.
  • Evaluate arithmetic expressions using the order of operation rules for whole numbers, integers, fractions, and decimals.
  • Replace a variable with whole numbers, integers, fractions, and decimals and then evaluate the expression.
  • Convert between decimals and fractions.
  • Evaluate square roots.
  • Simplify algebraic expressions.
  • Use the distributive property.
  • Solve linear equations in one variable containing integers, fractions, and decimals.
  • Translate selected application problems into linear equation in one variable and solve.
  • Set up ratios and rates.
  • Convert to unit rates.
  • Set up a proportion and solve for the unknown.
  • Convert between percent representation of a number and decimals.
  • Solve percent problems using equations.
  • Convert from one unit of length to other, both in the English and metric system.
  • Convert units’ weights and measures, capacity and temperatures in both the English and metric system.

Course OUTLINE

  1. Data Toolbox
  2. Populations and Samples
  3. Mean, Median, Mode and Range
  4. Frequency Tables and Stem-and-Leaf Plots
  5. Bar Graphs and Histograms
  6. Reading and Interpreting Circle Graphs
  7. Box-and-Whisker Plots
  8. Line Graphs
  9. Scatter Plots
  10. Misleading Graphs
  11. Number Theory & Algebraic Reasoning
  12. Exponents
  13. Powers of Ten and Scientific Notation
  14. Order of Operations
  15. Prime Factorization
  16. Greatest Common Factor
  17. Least Common Multiple
  18. Variables and Algebraic Expressions
  19. Combining Like Terms
  20. Solving Equations by Adding or Subtracting
  21. Solving Equations by Multiplying or Dividing
  22. Integers and Rational Numbers
  23. Integers
  24. The Coordinate Plane
  25. Adding Integers
  26. Subtracting Integers
  27. Multiplying and Dividing Integers
  28. Solving Equations Containing Integers
  29. Fractions and Decimals
  30. Equivalent Fractions and Mixed Numbers
  31. Equivalent Fractions and Decimals
  32. Comparing and Ordering Rational Numbers
  33. Operations with Rational Numbers
  34. Adding and Subtracting Decimals
  35. Multiplying Decimals
  36. Dividing Decimals by Integers
  37. Dividing Decimals and Integers by Decimals
  38. Solving Equations Containing Decimals
  39. Multiplying Fractions and Mixed Numbers
  40. Dividing Fractions and Mixed Numbers
  41. Adding and Subtracting Fractions
  42. Adding and Subtracting Mixed Numbers
  43. Solving Equations Containing Fractions
  44. Proportional Reasoning
  45. Ratios and Rates
  46. Identifying and Writing Proportions
  47. Solving Proportions
  48. Dimensional Analysis
  49. Similar Figures and Proportions
  50. Using Similar Figures
  51. Scale Drawings and Scale Models
  52. Percents
  53. Fractions, Decimals and Percents
  54. Percent of a Number
  55. Soling Equations Containing Percents
  56. Percent of Change
  57. Simple Interest
  58. Plane Figures
  59. Points, Lines and Planes
  60. Angels
  61. Parallel and Perpendicular Lines
  62. Circles
  63. Polygons
  64. Triangles
  65. Quadrilaterals
  66. Angles in Polygons
  67. Congruent Figures
  68. Transformations
  69. Symmetry
  70. Perimeter, Circumference & Area
  71. Customary and Metric Measurements
  72. Accuracy and Precision
  73. Perimeter and Circumference
  74. Area of Parallelograms
  75. Area of Triangles and Trapezoids
  76. Area of Circles
  77. Powers and Roots
  78. The Pythagorean Theorem
  79. Volume and Surface Area
  80. Introduction to Three-Dimensional Figures
  81. Volume of Prisms and Cylinders
  82. Volume of Pyramids, Cones and Spheres
  83. Surface Area of Prisms, Cylinders and Spheres
  84. Changing Dimensions
  85. Probability
  86. Probability
  87. Experimental Probability
  88. Theoretical Probability
  89. Probability of Independent and Dependent Events
  90. Combinations
  91. Permutations
  92. Multistep Equations and Inequalities
  93. Solving Two-Step Equations
  94. Solving Multistep Equations
  95. Solving Equations with Variables on Both Sides
  96. Inequalities
  97. Solving Inequalities by Adding or Subtracting
  98. Solving Inequalities by Multiplying or Dividing
  99. Solving Two-Step Inequalities
  100. Graphs and Functions
  101. Introduction to Functions
  102. Interpreting Graphs
  103. Linear Functions
  104. Slope
  105. Nonlinear Functions
  106. Rates of Change
  107. Set Theory

COURSE EVALUATION

This is an instructor led course. All quizzes and assignments are due by the due dates indicated in your schedule. Grading for this course will be based on the following:

1)WeeklyAssignments from Textbook and/or Assignments Listed in Modules(50%).

Assignments will be completed either on an individual or group basis, as assigned by the instructor. Self-assessment opportunities lie within each module.

2)Quizzes and/or Tests (20%)

You will be required to take 1 quiz per week on the topics discussed. Quizzes will be taken online through WiZiQ or on paper administered by a proctor.

3)Final Exam (15%)

You will be required to take a final exam at the end of the course. This will be an interactive exam between you and your instructor. Scheduling will be coordinated at a time convenient for your and the instructor. It will be live in the WiZiQ classroom.

4)Online Discussions (10%)

Each week the instructor will post a discussion thread that participants will be required to respond to. Participants will respond to instructor and comment on at least one of the other participants’ response. Further directions for the requirements for reply will be listed in each posting.

5)Classroom Meetings (5%).

There will be 1 scheduled meeting per week for the class to collaborate on how the course is going, share input, and share suggestions. This will occur before the weekly quiz is given to allow students to ask questions, or for the instructor to demonstrate how to work certain examples. It will be required that you attend 15 of these 30 meetings. Each meeting will be archived for reference.

Grading Scale

Participants must obtain a grade of C or better receive credit for this course.

A = 90% - 100%
B = 80% - 89%
C = 70% - 79%

F = 69% or lower

ACADEMIC INTEGRITY:

Students are expected to uphold the Academic Honesty Honor Code as published in section 3 of the GeorgiaSouthern University Student Conduct Code, online at . Plagiarism of either online or written sources will not be tolerated. All incidents of cheating will be handled in accordance with guidelines set forth in the GSU Student Conduct Code handbook. The minimum penalty for a student caught cheating on an assignment will be a grade of zero on that work.

ACCOMMODATIONS FOR STUDENTS WITH SPECIAL NEEDS:

This class complies with the Americans with Disabilities Act (ADA). Students with disabilities needing academic accommodations must register with and provide documentation to the Student Disability Resource Center (SDRC) and provide a letter to them from the SDRC indicating what your need may be for academic accommodation. This should be done within the first week of class. Students with these particular needs should contact the StudentDisabilityResourceCenter, Hampton Hall.

Thank you for participating in my CIED 7603 Practicum Online Learning Module! We'll have a lot of fun over the next 3 weeks.

Here is some information about what to expect: This course will is taken in a hybrid situation. Students will complete assignments, math labs, projects, and interact with teacher and peers on a regular basis both in the classroom and online. There will be opportunities to view lessons in video and audio, live via online classroom, as well as written in a wiki. Students will conduct work during regular class time with a teacher monitoring. However, all correspondence regarding material will be made with the online instructor. Tests and quizzes will be closed book and proctored during class time. Any assignments not completed during class time will need to be completed from home if internet access is available. If not, then it will be your responsibility to arrange computer lab time with the proctoring teacher, or attend a library for access. This is your regular course work, just completed in different fashion over the next 3 weeks.