Introductory Mathematics

• Content to enhance your understanding for teaching math curriculum
• Math approaches as they relate to the California Mathematics Framework, content standards and Common Core
• How to integrate cross-curricular teaching strategies and real-life applications into the classroom

Prior to enrolling, please ensure that you meet the following minimum requirements:

1. Bachelor's degree or higher from an accredited institution
2. One of the following valid, unexpired, California teaching credentials:
   1. Multiple Subject
   2. Single Subject
   3. Standard Elementary
   4. Standard Secondary
   5. Special Secondary

To qualify for this certificate, students are required to complete 4 courses for a total of 16 quarter units. At least once course in each math content area is required:

Algebra

• MATH X409 College Algebra or
• MATH X409.1 Linear Algebra or
• MATH X409.2 Non-Linear Algebra

Geometry

• MATH X415.1 Fundamental Concepts of Geometry - Part I or
• MATH X415.2 Fundamental Concepts of Geometry - Part II

Development of the Real Number System

• MATH X405 Developing the Real Number System or
• MATH X405.B Developing the Real Number System - Part B

There are no required prerequisites for these courses, they are just recommended. Students can also take the courses in any order you wish. We recommend taking no more than two, 4 unit, courses per quarter. 8 units per quarter is sensible amount if you are teaching full-time. The CTC required 10 upper division semester units or the equivalent of 15-quarter units. UCR is on the quarter system and our courses are upper division quarter units. Candidates are allowed up to 2 years to complete the program, pending no legislative CTC changes.

Completion Requirements

CTC Notice

The final decision regarding an applicant's academic eligibility for an Authorization will be determined by CTC staff when the documentation is submitted and the application is evaluated.

• The candidate may request the assistance of UCR Extension to file the appropriate paperwork with the CTC or the candidate may apply on their own to the CTC.
• If the candidate would like UCR to assist, please complete the online “Completion Verification” application. Please note, a university $75 "credential filing fee" will apply.
• Upon verification by Student Services that all requirements have been met, the Credentials Office will mail the required CTC paperwork to the candidate’s home address in 10 business days. Please complete the application and mail back to the Credentials Office with a $100 check or money order made out to “CTC”. At this time, the CTC does not accept online applications.
• Upon receipt, the Credentials Office will process the paperwork. A (C19) letter is then emailed and mailed to the candidate as verification of completion.
• CTC can take up to six months (50 business days) to process paper applications. Please review CTC's website to verify issuance. The candidate will not receive a document in the mail as the CTC has gone completely paperless.

UCR Extension only submits recommendations to CTC on behalf of students who have completed all coursework through UCR Extension.

CTC requires 15 upper-division quarter units. If you include lower-division units, CTC will double the unit requirements from 15 to 30 quarter units.

Teachers holding a valid Single Subject, Multiple Subject, Standard Elementary or Standard Secondary Teaching Credential who are interested in teaching Math.

University of California programs for professions that require licensure or certification are intended to prepare the student for California licensure and certification requirements. Admission into programs for professions that require licensure and certification does not guarantee that students will obtain a license or certificate. Licensure and certification requirements are set by agencies that are not controlled by or affiliated with the University of California and licensure and certification requirements can change at any time.

The University of California has not determined whether its programs meet other states’ educational or professional requirements for licensure and certification. Students planning to pursue licensure or certification in other states are responsible for determining whether, if they complete a University of California program, they will meet their state’s requirements for licensure or certification. This disclosure is made pursuant to 34 CFR §668.43(a)(5)(v)(C).