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Subject Matter Authorization in Introductory Mathematics

Subject Matter Authorization in Introductory Mathematics

Course schedule subject to change

In-Person

Online

H Hybrid

Algebra (4 units)
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Winter

Spring

Summer

Fall

College Algebra

Basic algebra, linear functions and equations, quadratic functions and equations, operations with functions and a basic understanding of the real number system. For teaching mathematics in middle and high school classrooms.

Enroll

4 units

Linear Algebra

Based on the concepts of rate and ratio, this course addresses topics that lead to an understanding of linear functions and equations. Topics include functions concepts, direct proportion as linear functions, linear functions of one variable, system of linear equations, system of linear inequalities and family of lines. For teaching mathematics in middle and high school classrooms. For teaching mathematics in middle and high school classrooms.

Enroll

4 units

Non-Linear Algebra

Advanced algebraic concepts. Topics include: fractional exponents of positive numbers, operations on polynomials, functions and inverse functions, inverse proportion, square and square roots, and quadratic polynomials. For teaching mathematics in middle and high school classrooms. For teaching mathematics in middle and high school classrooms.

Enroll

4 units

Advanced Algebra (4 units)
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Winter

Spring

Summer

Fall

Advanced Algebra

In-depth exploration of concepts in algebra and applications in geometry. Concepts discussed include absolute value and inequalities, complex numbers, polynomials and rational expressions, quadratic functions, logarithms, arithmetic and geometric series and the binomial theorem. This course emphasizes abstract thinking skills, the function concept and the algebraic solution of problems in various content areas. For teaching mathematics in middle and high school classrooms.

Enroll

4 units

Trigonometry and Problem Solving

Problem solving techniques with an emphasis on equations and graphing functions through the use of a graphing calculator. Review of intermediate algebra through the study of the conic sections and emphasis on trigonometric functions and their graphs. For teaching mathematics in middle and high school classrooms.

Enroll

4 units

Linear Algebra

Based on the concepts of rate and ratio, this course addresses topics that lead to an understanding of linear functions and equations. Topics include functions concepts, direct proportion as linear functions, linear functions of one variable, system of linear equations, system of linear inequalities and family of lines. For teaching mathematics in middle and high school classrooms. For teaching mathematics in middle and high school classrooms.

Enroll

4 units

Geometry (4 units)
Click course title to view description

Winter

Spring

Summer

Fall

Fundamental Concepts of Geometry - Part I

Introduction and review of Euclidean and non-Euclidean geometric concepts and instructional strategies for teaching geometry. Problem-solving and critical thinking skills, logic, and inductive and deductive reasoning will be highlighted while covering such topics as angles, area, volume, polygons, quadrilaterals, parallels, polyhedras, tessellations, circles, similarity, congruence and topology. For teaching mathematics in middle and high school classrooms.

Enroll

4 units

Fundamental Concepts of Geometry - Part II

An in-depth look at Euclidean and non-Euclidean geometric concepts. Topics include basic ideas of geometry, polygon relationships, patterns of polygons (tessellations), measurement (length, area and volume), motions in geometry, magnification and similarity, topology and number patterns. For teaching mathematics in middle and high school classrooms.

Enroll

4 units

Probability or Statistics (4 units)
Click course title to view description

Winter

Spring

Summer

Fall

Probability and Statistics, Part A

Introductory course in probability and statistics that examines collecting, organizing and summarizing data in order to draw valid conclusions. Topics include exploring data, observing patterns and departures from patterns; deciding what data to use and how to measure it; interpreting correlation, regression and categorical data; random variables; anticipating patterns and producing models using probability theory and simulation. Participants use computer outputs to explore data distributions and relationships to design experiments. A Texas Instrument TI-83 or TI-84 Calculator is optional for the online course. For teaching mathematics in middle and high school classrooms.

Enroll

4 units

Probability and Statistics, Part B

Continuation of part A course in probability and statistics that examines collecting, organizing and summarizing data in order to draw valid conclusions. Topics include estimation and tests of significance; inference for means, population proportion and regression; binomial and geometric distributions; sampling distributions, sample proportions and means. Participants will use computer outputs to explore distributions and relationships to design experiments. A Texas Instrument TI-83 or TI-84 calculator is optional for the online course. For teaching mathematics in middle and high school classrooms.

Enroll

4 units

Real Number System or Introduction to Mathematics (4 units)
Click course title to view description

Winter

Spring

Summer

Fall

Strategies for Effective Mathematics Instruction

Utilizing the Common Core State Standards for Mathematics (CCSSM) and Standards for Mathematical Practice (MP), participants develop strategies to enhance their teaching pedagogy and incorporate the content and depth of understanding set forth by the CCSSM. For teaching mathematics in middle and high school classrooms.

Enroll

4 units

Developing the Real Number System

Basic mathematical skills to enhance conceptual understanding and improve teachers' content skills for teaching mathematics in K-8 classrooms. Topics include real number systems with an emphasis on concepts of whole numbers, factors, fractions and decimals. Instruction also provides an introduction to algebraic concepts and techniques for understanding and solving linear equations of one variable. For teaching mathematics in middle and high school classrooms.

Enroll

4 units

Developing the Real Number System - Part B

Review of basic concepts of the real number system that emphasize concepts of whole numbers, factors, fractions and decimals. Fundamentals such as relationship between expressions, equations, inequalities and graphs needed for understanding algebraic concepts are presented. For teaching mathematics in middle and high school classrooms.

Enroll

4 units

Using Technology in Teaching Mathematics

Techniques for using technology in teaching mathematics. Demonstration and examination of materials include problem solving with the computer to investigate and understand mathematics content, drill and practice, software programs, the Internet, making charts and graphs, using graphing calculators, and simulations that allow students to solve real-world problems involving mathematics. For teaching mathematics in middle and high school classrooms.

Enroll

4 units

Elective (28 units)
Click course title to view description

Winter

Spring

Summer

Fall

College Algebra

Basic algebra, linear functions and equations, quadratic functions and equations, operations with functions and a basic understanding of the real number system. For teaching mathematics in middle and high school classrooms.

Enroll

4 units

Linear Algebra

Based on the concepts of rate and ratio, this course addresses topics that lead to an understanding of linear functions and equations. Topics include functions concepts, direct proportion as linear functions, linear functions of one variable, system of linear equations, system of linear inequalities and family of lines. For teaching mathematics in middle and high school classrooms. For teaching mathematics in middle and high school classrooms.

Enroll

4 units

Non-Linear Algebra

Advanced algebraic concepts. Topics include: fractional exponents of positive numbers, operations on polynomials, functions and inverse functions, inverse proportion, square and square roots, and quadratic polynomials. For teaching mathematics in middle and high school classrooms. For teaching mathematics in middle and high school classrooms.

Enroll

4 units

Advanced Algebra

In-depth exploration of concepts in algebra and applications in geometry. Concepts discussed include absolute value and inequalities, complex numbers, polynomials and rational expressions, quadratic functions, logarithms, arithmetic and geometric series and the binomial theorem. This course emphasizes abstract thinking skills, the function concept and the algebraic solution of problems in various content areas. For teaching mathematics in middle and high school classrooms.

Enroll

4 units

Trigonometry and Problem Solving

Problem solving techniques with an emphasis on equations and graphing functions through the use of a graphing calculator. Review of intermediate algebra through the study of the conic sections and emphasis on trigonometric functions and their graphs. For teaching mathematics in middle and high school classrooms.

Enroll

4 units

Fundamental Concepts of Geometry - Part I

Introduction and review of Euclidean and non-Euclidean geometric concepts and instructional strategies for teaching geometry. Problem-solving and critical thinking skills, logic, and inductive and deductive reasoning will be highlighted while covering such topics as angles, area, volume, polygons, quadrilaterals, parallels, polyhedras, tessellations, circles, similarity, congruence and topology. For teaching mathematics in middle and high school classrooms.

Enroll

4 units

Fundamental Concepts of Geometry - Part II

An in-depth look at Euclidean and non-Euclidean geometric concepts. Topics include basic ideas of geometry, polygon relationships, patterns of polygons (tessellations), measurement (length, area and volume), motions in geometry, magnification and similarity, topology and number patterns. For teaching mathematics in middle and high school classrooms.

Enroll

4 units

Probability and Statistics, Part A

Introductory course in probability and statistics that examines collecting, organizing and summarizing data in order to draw valid conclusions. Topics include exploring data, observing patterns and departures from patterns; deciding what data to use and how to measure it; interpreting correlation, regression and categorical data; random variables; anticipating patterns and producing models using probability theory and simulation. Participants use computer outputs to explore data distributions and relationships to design experiments. A Texas Instrument TI-83 or TI-84 Calculator is optional for the online course. For teaching mathematics in middle and high school classrooms.

Enroll

4 units

Probability and Statistics, Part B

Continuation of part A course in probability and statistics that examines collecting, organizing and summarizing data in order to draw valid conclusions. Topics include estimation and tests of significance; inference for means, population proportion and regression; binomial and geometric distributions; sampling distributions, sample proportions and means. Participants will use computer outputs to explore distributions and relationships to design experiments. A Texas Instrument TI-83 or TI-84 calculator is optional for the online course. For teaching mathematics in middle and high school classrooms.

Enroll

4 units

Strategies for Effective Mathematics Instruction

Utilizing the Common Core State Standards for Mathematics (CCSSM) and Standards for Mathematical Practice (MP), participants develop strategies to enhance their teaching pedagogy and incorporate the content and depth of understanding set forth by the CCSSM. For teaching mathematics in middle and high school classrooms.

Enroll

4 units

Developing the Real Number System

Basic mathematical skills to enhance conceptual understanding and improve teachers' content skills for teaching mathematics in K-8 classrooms. Topics include real number systems with an emphasis on concepts of whole numbers, factors, fractions and decimals. Instruction also provides an introduction to algebraic concepts and techniques for understanding and solving linear equations of one variable. For teaching mathematics in middle and high school classrooms.

Enroll

4 units

Developing the Real Number System - Part B

Review of basic concepts of the real number system that emphasize concepts of whole numbers, factors, fractions and decimals. Fundamentals such as relationship between expressions, equations, inequalities and graphs needed for understanding algebraic concepts are presented. For teaching mathematics in middle and high school classrooms.

Enroll

4 units

Using Technology in Teaching Mathematics

Techniques for using technology in teaching mathematics. Demonstration and examination of materials include problem solving with the computer to investigate and understand mathematics content, drill and practice, software programs, the Internet, making charts and graphs, using graphing calculators, and simulations that allow students to solve real-world problems involving mathematics. For teaching mathematics in middle and high school classrooms.

Enroll

4 units

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