Monroe County Community Resource Center
ADULT EDUCATION PROGRAM
Visit us online at http://www.adulted.monroe.k12.ky.us/
Instructor: Reena Adams
Course Title: Mathematics (270) 487-6181 ext. 1148 or 1150
Term: Fall 2010-Spring 2011
Class Schedule: Monday-Thursday 8:30 a.m.-10:30 a.m.
Thursday Night 4 p.m.-6 p.m.
Course Description: This 4-week Adult Education Math course is designed to reinforce addition, subtraction, multiplication, division, rounding & estimation competency, integers, decimals, fractions, percents, problem-solving strategies, basic Algebra, basic Geometry, and reading problems. Our math lessons will incorporate general instruction and practice along with hands-on activities in which sound knowledge of vocabulary, critical thinking, and mathematical concepts are needed.
Course Objectives:
1. Know basic vocabulary relating to mathematical content.
2. Add, Subtract, Multiply, and Divide whole numbers with or without regrouping.
3. Understanding and applying the Order of Operations.
4. Recognize even (e.g. 0, 2, 4, 6, and 8 etc.) and odd (e.g. 1, 3, 5, 7, and 9 etc.) number endings.
5. Know that the position of a digit signifies its value (ones, tens, hundreds, etc.), including the use of zero.
6. Identify place values to the right and left of the decimal point.
7. Round numbers to specified values.
8. Associate numbers to their respective spoken names through number form, number-word form, and word form.
9. Understand the rules for the signs of the results of Adding, Subtracting, Multiplying, and Dividing integers.
10. Illustrate and demonstrate the connections between integers and money (lending and owning).
11. Understand the rules for Adding, Subtracting, Multiplying, and Dividing decimals.
12. Illustrate and demonstrate the connection between decimals and money.
13. Compare decimals according to size (e.g. difference between .07 and .7)
14. Distinguishing between proper fractions, improper fractions, and mixed numbers
15. Understanding what a fraction represents.
16. Add, Subtract, Multiply, and Divide fractions and mixed numbers.
17. Converting mixed numbers to improper fractions, and vice versa.
18. Distinguishing how to solve problems using percents.
19. Converting between percents, fractions, and decimals in numerous formats.
20. Distinguish how measures of central tendency are affected by outliers.
21. Solve two- or more-step algebraic equations to determine values of specified variables.
22. Understand rules of exponents and apply them to addition, subtraction, multiplication, and division expressions.
23. Understand roots of numbers.
24. Understand how to write expressions or equations from word problems.
25. Identify dimensional shapes (e.g. square, circle, rectangle, triangle, etc…) and find perimeters, areas, circumferences, angles, and side lengths.
26. Understand measurement and how to read a ruler/tape measure.
27. Understanding and creating pie, bar, and line graphs and how they can be biased.
Student Learning Outcomes:
· Apply an understanding of ways numbers are represented and used in the real world (classifications, fractions, percents, etc…)
· Perform with speed AND fluency the four basic mathematical operations.
· Use gained mathematical knowledge and skills to solve mathematical problems both on paper and in real-world examples.
· Apply (and use with fluency) mathematical vocabulary and concepts to solve word problems and communicate with others.
· Feel confident that you can successfully apply mathematics in real-world situations.
Student Expectations:
1. Students are encouraged to attend every class with the desire to gain, grow, and develop the necessary concepts, skills, and understanding needed to successfully pass the GED or other required tests.
2. Students are expected to be in class on time ready to work and participate in activities and provide input.
3. Students are to provide a positive attitude toward the instructor and other students—we can all be successful if we are willing to work towards the common goal.
4. Students are expected to complete all assignments and homework.
5. Students are to accumulate 50 hours of instruction (including other courses)
6. Students are to complete assessment for an educational level gain.
7. Students are expected to have cell phones on SILENT and kept in a pocket or purse
In-Class Evaluation Methods:
· Skills Inventory Pre- and Post tests.
· Daily and Weekly quizzes
· Daily Assignments
· 6-Week exam
· Practice TABE and/or GED
Web-Based Resources:
www.thatquiz.org
www.coolmath.com
http://www.wgcontemporary.com
Supplies and Supplementary Materials:
· Hand-outs
· Computer lab
· White boards
· Algebra tiles (and other math manipulatives as needed)
· Casio fx-260 solar calculator
· Carnegie Algebra 1, Carnegie Learning Inc, 2007
· Pre-Algebra, Siegfried Haenish, AGS Publishing, 2004
· Practical Mathematics, Carol Staudacher & Steve Turner, Fearon Education, 1990
· Skills Intervention Program, Randall I. Charles, Prentice Hall Inc., 2001
· Basic Math Skills, August V. Treff & Donald H. Jacobs, AGS Publishing, 1997
· GED Skill Workbook Series, Caren Van Slyke, Train Publishing Co., 2005
· GED Scoreboost: Mathematics, Measurement, and Data Analysis, Caren Van Slyke, Train Publishing Co., 2002
· Basic Essentials of Mathematics, James T. Shea, Steck-Vaughn Co. 1991
· Building Skills with Tabe, CTB/McGraw Hill LLC, 2005
· Facts and Figures, Channing Bete Co. Inc., 2006
· Complete GED Preparation, Steck-Naughn Co., Various Years
· Algebra, Robert P. Mitchell, Contemporary Books Inc., 1994
· GED Math Skills Top 50
Tentative Outline/Course Calendar (week-by-week schedule):
Math 200Week 1 / TABE Pre-Test
Introduction to course content, overview of syllabus, and course expectations
Skills Inventory Pre-Test
Personal information sheet and goal discussion
Know basic vocabulary relating to weekly mathematical content.
Add, Subtract, Multiply, and Divide whole numbers with or without regrouping.
Understanding and applying the Order of Operations.
Recognize even (e.g. 0, 2, 4, 6, and 8 etc.) and odd (e.g. 1, 3, 5, 7, and 9 etc.) number endings.
Know that the position of a digit signifies its value (ones, tens, hundreds, etc.), including the use of zero.
Identify place values to the right and left of the decimal point.
Round numbers to specified values.
Associate numbers to their respective spoken names through number form, number-word form, and word form.
Week 2 / Know basic vocabulary relating to weekly mathematical content.
Understand the rules for the signs of the results of Adding, Subtracting, Multiplying, and Dividing integers.
Illustrate and demonstrate the connections between integers and money (lending and owning).
Understand the rules for Adding, Subtracting, Multiplying, and Dividing decimals.
Illustrate and demonstrate the connection between decimals and money.
Compare decimals, integers, and whole numbers according to size (e.g. 7, 6.5, and –5)
Week 3 / Know basic vocabulary relating to weekly mathematical content.
Distinguishing between proper fractions, improper fractions, and mixed numbers
Understanding what a fraction represents.
Add, Subtract, Multiply, and Divide fractions and mixed numbers.
Converting mixed numbers to improper fractions, and vice versa.
Distinguishing how to solve problems using percents.
Converting between percents, fractions, and decimals in numerous formats.
Compare rational numbers according to size (e.g. ½, 2¾, -10, 6.45, and 7)
Week 4 / Know basic vocabulary relating to weekly mathematical content.
Understand patterns and sequences and use that understanding to find unknown terms.
Distinguish how measures of central tendency are affected by outliers.
Solve two- or more-step algebraic equations to determine values of specified variables.
Understand rules of exponents (both positive and negative) and apply them to addition, subtraction, multiplication, and division expressions.
Understand roots of numbers and irrational numbers and how to compare them with all real numbers.
Understand how to write expressions or equations from word problems.
Understand and translate scientific notation.
Math 300
Weeks 1-4 / Know basic vocabulary relating to weekly mathematical content.
Understand the Cartesian Coordinate Plane.
Determining the appropriate units of scale.
Determine slope and y-intercept of given linear equations and then using this information to graph the lines.
Perform with accuracy problems involving distance and mid-points using the appropriate formulas.
Understand and recognize the graphs of various types of equations.
Understand and identify graphical transformations.
Identify dimensional shapes (e.g. square, circle, rectangle, triangle, etc…) and find perimeters, areas, circumferences, angles, and side lengths.
Understand the Pythagorean Theorem and Trigonometric Ratios.
Understand measurement and how to read a ruler/tape measure.
Identify congruent and similar relationships among shapes.
Know basic vocabulary relating to weekly mathematical content.
Understanding and creating data graphs and how they can be biased (pie, bar, line, scatter, stem-and-leaf, etc…).
Interpret and make predictions from scatter plots by finding and using lines of best fit.
Determine probabilities of given events.
Word Problems involving ALL content covered.
Skills Inventory Post-Test
Document 50 hours of instruction
TABE Post-Test
Methods of Instruction:
· Discussion and Lecture
· Cooperative Learning Groups
· Independent Study
· Computer Lab Programs
· Hands-On Activities