Mathematics for Teachers ll (Fundamentals of Mathematics II )

Class
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. This course is designed specifically for students who seek middle grade (4 through 8) teacher certification. The course looks at using math manipulatives to develop conceptual understanding. Exercises are designed to allow students to demonstrate their reasoning ability to solve problems using a problem solving approach.

Competencies

  1. Apply fundamental terms of geometry such as points, lines, and planes to describe two and three dimensional figures, a student should be able to:
    1. Classify polygons.
    2. Define and use geometrical notation to describe, points, lines, and planes.
    3. Solve problems using basic concept about angles.
    4. Apply basic geometry to three dimensions.
  2. Make and test conjectures about figures and geometric relationships
    1. Use Geoboards to investigate perimeter and area
    2. Use basic geometric shaped tiles to investigate geometric relationships
    3. Use basic geometric shaped tiles to investigate angles in creating tesselations
  3. Use a variety of methods to identify and justify congruency and similarity of geometric objects.
    1. Use basic geometric shaped tiles create other geometry shapes
    2. Develop the geometry rules and formulas
    3. Find patterns of corners, edges, and faces of three-dimensional shapes
  4. Perform geometric transformations a student should be able to:
    1. Perform translations, rotations, reflections, and glide reflections.
    2. Perform size transformations.
    3. Recognize different symmetries.
  5. Demonstrate fundamental probability techniques and apply those techniques to solve problems, a student should be able to:
    1. Perform multistage experiments with tree diagrams.
    2. Perform multistage experiments with geometric probabilities.
    3. Determine odds, conditional probabilities, and expected values.
    4. Use permutations and combinations in probability.
    5. Create statistical graphs to illustrate categorical and numerical data.
    6. Use measures of central tendency and variation to analyze a set of data.
    7. Discuss the abuse of statistics in the real world.
  6. Explain the use of data collection and statistics as tools to reach reasonable conclusions., a student should be able to:
    1. Perform multistage experiments with tree diagrams.
    2. Perform multistage experiments with geometric probabilities.
    3. Determine odds, conditional probabilities, and expected values.
    4. Use permutations and combinations in probability.
  7. Recognize, examine, and utilize the basic principles of describing and presenting data, a student should be able to:
    1. Create statistical graphs to illustrate categorical and numerical data.
    2. Use measures of central tendency and variation to analyze a set of data.
    3. Discuss the abuse of statistics in the real world.
  8. Perform measurement processes and explain the concept of a unit of measurement. a student should be able to:
    1. Convert units of measure in English and metric systems.
  9. Develop and use formulas for the perimeter, area, and volume for a variety of figures, a student should be able to:
    1. Find the perimeter and circumference of two-dimensional objects.
    2. Find the area of polygons and circles.
    3. Apply the Pythagorean Theorem and distance formula.
    4. Find the surface area of various objects.
    5. Find volume and mass.
    6. Convert temperatures in Celsius and Fahrenheit.

Campus Resources for Students

Weatherford:
The Academic Support Center is a free public tutoring service provided by the college, offered in LART-LL Room 2, 817-598-6278

Video tapes

Computer assisted instruction

Instructor’s office hours

Course Learning Objectives

Upon successful completion of this course, students will:

  1. Apply fundamental terms of geometry such as points, lines, and planes to describe two and three dimensional figures.
  2. Make and test conjectures about figures and geometric relationships.
  3. Use a variety of methods to identify and justify congruency and similarity of geometric objects.
  4. Perform geometric transformations.
  5. Demonstrate fundamental probability techniques and apply those techniques to solve problems.
  6. Explain the use of data collection and statistics as tools to reach reasonable conclusions.
  7. Recognize, examine, and utilize the basic principles of describing and presenting data.
  8. Perform measurement processes and explain the concept of a unit of measurement.
  9. Develop and use formulas for the perimeter, area, and volume for a variety of figures.
Lab Fee
$24
Required Textbooks
A Problem Solving Approach to Mathematics for Elementary School Teachers, 13th Ed., Billstein, Libeskind, and Lott, Addison Wesley/Benjamin Cummings (Pearson) 2016. Mathematics Activities Manual (Pearson) ISBN 0321977084.

Required Supplies

MyLabsPlus access code and scientific calculator. No graphing calculators permitted. MIRA and Pointless Compass which can be purchased from the bookstore. Additional school supplies as instructed by the individual instructor.
ISBN-10
0321987292
Evaluation Standards

These course learning outcomes and course competencies will be assessed through the administration of at least 2 in class exams (50%), quizzes and homework (10%), activities (10%), projects (10%), and comprehensive final exam (20%)

Grading Standards

A - Student’s work is exceptional and consistently above average.
B - Student’s work is above average. Required assignments were completed in a timely manner and have met at least the minimum required standards.
C - Student’s work is acceptable. Majority of assignments meet the minimum required standards.
D - Student’s work fails to meet the minimum requirements for a grade of "C." Overall performance was sub-standard in comparison to normal expectations for this class.
F - Student’s work is clearly unacceptable. Student either did not attempt the work, or failed to meet any of the minimum required standards.

Required Institutional Core Learning Outcomes

Communication (COM), Critical Thinking (CT), Empirical & Quantitative Reasoning (EQR)

Disabilities

ADA Statement:

Any student with a documented disability (e.g. learning, psychiatric, vision, hearing, etc.) may contact the Office on the Weatherford College Weatherford Campus to request reasonable accommodations. Phone: 817-598-6350 Office Location: Office Number 118 in the Student Services Building, upper floor. Physical Address: Weatherford College 225 College Park Drive Weatherford, TX.

Academic Integrity
Academic Integrity is fundamental to the educational mission of Weatherford College, and the College expects its students to maintain high standards of personal and scholarly conduct. Academic dishonesty of any kind will not be tolerated. Academic dishonesty includes, but is not limited to, cheating on an examination or other academic work, plagiarism, collusion, and the abuse of resource materials including unauthorized use of Generative AI. Departments may adopt discipline specific guidelines on Generative AI usage approved by the instructional dean. Any student who is demonstrated to have engaged in any of these activities will be subject to immediate disciplinary action in accordance with institutional procedures.
Hope Statement
Any student who faces challenges securing basic resources such as food, clothing, or housing and believes this may affect their performance in their course of study is urged to contact the Director of Student Resources, Dr. Deborah Cregger, for support at (817) 598-6444. Her office is on the first floor of Student Services. If the student prefers, they may contact their instructor, who can reach out on their behalf. Weatherford College also provides the Coyote Pantry. The Pantry maintains boxed and canned foods for students in need. The location of the Coyote Pantry is two blocks west of the Weatherford campus at the Baptist Student Ministry (118 E. Park Ave., Weatherford). Pantry hours are Mon-Thurs. 8:30 am-4:30 pm and Fri. 8.30 am-12:00 pm (817-599-6586).
Grading Key

100-90 = A
89-80 = B
79-70 = C
69-60 = D
59-below = F

Revised
Fall 2021
Last Modified
Friday, September 10, 2021, 3:30 PM