This course is intended to build or reinforce a foundation in fundamental mathematics concepts and skills. It includes the concepts of geometry, measurement, probability, and statistics with an emphasis on problem solving and critical thinking.
Course Learning Outcomes
The student will:
Apply fundamental terms of geometry such as points, lines, and planes to describe two and three dimensional figures.
Make and test conjectures about figures and geometric relationships.
Use a variety of methods to identify and justify congruency and similarity of geometric figures.
Perform geometric transformations.
Demonstrate fundamental probability techniques and apply those techniques to solve
Explain the use of data collection and statistics as tools to reach reasonable conclusions.
Recognize, examine, and utilize the basic principles of describing and presenting data.
Perform measurement processes and explain the concept of a unit of measurement.
Develop and use formulas for the perimeter, area and volume for a variety of figures.
Prerequisites MATH 1314 OR placement by testing;
College level readiness in reading and writing
Textbook: Billstein, Libeskind, Lott; A Problem Solving Approach to Math for Elementary Teachers, 13th ed.; Pearson
Required: Students must buy an access code to MyMathLab, an online course management system which includes a complete eBook; students will first need a Course ID provided by the instructor in order to register; online purchase of MyMathLab access at www.mymathlab.com.
ISBN for hard copies of MyMathLab access codes: 9780135190050
Hardbound text (optional), ISBN: 9780135183885
Hardbound text + free MyMathLab access, ISBN: 9780135261682
Calculators may be required for some assignments/assessments at the discrection of the Instructor. Refer to class syllabus for details.
Neither cell phones nor PDA’s can be used as calculators. Calculators may be cleared before tests.
Chapter 9. Probability
9.1 Determining Probabilities
9.2 Multistage Experiments and Modeling Games
9.3 Simulations and Applications in Probability (Skip simulations and random Number tables)
9.4 Counting and Techniques in Probability
Chapter 10. Data Analysis/Statistics: An Introduction
10.1 Designing Experiments/Collecting Data
10.2 Displaying Data: Part I
10.3 Displaying Data: Part II
10.4 Measures of Central Tendency and Variation. (Skip Variation: Mean Absolute Deviation, Variance and Standard Deviation, Normal Distribution. Optional: Misuses with Numbers Representing Data)
Chapter 11. Introductory Geometry
11.1 Basic Notions
11.2 Curves, Polygons, and Symmetry
11.3 More About Angles
11.4 Geometry in Three Dimensions
Chapter 12. Congruence and Similarity with Constructions
12.1 Congruence Through Constructions
12.2 Additional Congruence Theorems
12.3 Additional Constructions
12.4 Similar Triangles and Other Similar Figures
Chapter 13. Area, Pythagorean Theorem, and Volume
13.1 Linear Measure
13.2 Areas of Polygons and Circles
13.3 The Pythagorean Theorem (Distance Formula and Equation of a Circle if time permits)