School

Science, Technology, Engineering & Math

Department

Mathematics

Academic Level

Undergraduate

Course Subject

Mathematics

Course Number

221

Course Title

Mathematics for Elementary Teachers II

Credit Hours

3.00

Instructor Contact Hours Per Semester

62.00 (for 15-week classes)

Student Contact Hours Per Semester

62.00 (for 15-week classes)

Grading Method

A-E

Pre-requisites

MATH-121 and ENG-131, both with a C or better

Catalog Course Description

For students involved in a curriculum for elementary teachers. Topics include the rational numbers, the integers, the real numbers, algebra, and topics from geometry. May utilize computer software to develop geometry content. Addresses concept development, communication skills, both oral and written, and problem solving skills in accordance with the National Council of Teachers of Mathematics (NCTM) Standards.

### Goals, Topics, and Objectives

Goal Statement

- To strengthen mathematical problem solving skills pertaining to curricular topics related to the preparation of future elementary school teachers.
- To strengthen communication skills, both written and oral, of mathematical ideas.
- To strengthen mathematical competence in rational numbers, real numbers, algebra, and geometry.

Core Course Topics

Upon successful completion of this course, students should be able to:

- Integers
- Model integers using a variety of models such as colored chips, number line, and charged particle.
- Use the relations of <, >, and = with integers.
- Model and explain integer operations using manipulatives.
- Develop and use the rules for integer operations.
- Demonstrate knowledge of the properties of integer operations.
- Solve problems involving integers.

- Decimals
- Model decimals using a variety of manipulatives and hand-drawn methods.
- Model decimals using a variety of mathematical concepts.
- Use the relations of <, >, and = with decimals.
- Model and explain decimal operations using manipulatives.
- Use estimation techniques for decimal operations.
- Perform mental mathematics for operations with decimals.
- Convert between fraction and decimal equivalents for both terminating and repeating decimals.
- Solve problems involving decimals.

- Real Numbers
- Distinguish between rational and irrational numbers.
- Model principal square roots.
- Use the relations of <, >, and = with real numbers.
- Use properties of real number operations for calculations and algebraic work.

- Algebraic Reasoning
- Apply the concept of variable to problem solving.
- Apply equation solving to problem solving.
- Apply knowledge of functions represented in a variety of forms.
- Solve problems requiring equations in two variables.

- Percents and Applications
Apply problem solving skills to percents and their applications.

- Introductory Geometry
- Define various types of polygons and their parts.
- Identify and model properties of and relationships among various types of polygons.
- Give descriptions, properties and real-world models of points, rays, lines, planes, line segments and angles.
- Define terms related to angles and angle relationships.
- Describe and analyze tessellations with polygons, particularly but not exclusively, with regular polygons.
- Describe, classify and understand relationships among types of 2- and 3-dimensional objects.
- Define various types of polyhedra and curved shapes in 3 dimensions.
- Identify and model properties of and relationships among various types of polyhedra and curved shapes in 3 dimensions.

- Concepts of Measurement
- Measure with standard units (English and metric) and nonstandard units for length, area and volume.
- Convert between various units, including those of length, area and volume, by using proportions and dimensional analysis.
- Do “rough” conversions between the metric system and the English system.
- Find the perimeter of a geometric figure, including polygons and circles.
- Derive and apply area formulas to find areas of rectangles, squares, triangles, parallelograms, trapezoids and circles.
- Model, explain and apply the Pythagorean Theorem.
- Find the surface areas of 3-dimensional figures.
- Find the volumes of 3-dimensional figures.

### Assessment and Requirements

Assessment of Academic Achievement

- Pre-Education students are required to create an e-portfolio as part of their academic work at HFC. Instructors must include a minimum of three e-portfolio assignments as part of course work. These assignments will be stored in each student's e-portfolio.
- All students will be required to complete a comprehensive final examination that assesses the learning of all course objectives. This exam must be weighted in a manner so that this exam score is worth a minimum of fifteen percent (15%) of the final course grade. In selected semesters this exam may be a common exam administered to all sections of Math 221
- Additional assessment of student achievement may include assignments, quizzes, and exams.
- These application problems must not only be included on chapter exams but also on the final exam.

General Course Requirements and Recommendations

- Application problems must be covered in all mathematics courses. Every section in any course outline that includes application problems must be covered.
- A scientific calculator is required of each student.

### Approval Dates

Effective Term

Fall 2019