INTEGRATED MATH 3, PART 2
Price: $125 | Credits: One Semester | Dept: Math | Course ID# 233-2
Integrated Math 3, Part 2 is the second semester of Integrated Math 3 and extends students’ study of advanced functions and statistical reasoning. Students analyze exponential and logarithmic functions, rational functions, and radical functions, including their graphs, equations, transformations, domains, and applications. Students develop trigonometric concepts using right triangles, radians, the unit circle, graphs, and identities. The course concludes with statistical analysis, experimental design, sampling, and inference. Integrated Math 2 is approved by the University of California A-G as mathematics (category C).
Upon completion of this course, the student is awarded 5 credits. Each credit corresponds to 15 hours of study. Of course, some students work more quickly than others, and some can devote more hours to study, so some students are able to complete the course at an accelerated rate.
LEARNING OBJECTIVES
In this module, students gain a comprehension of the following:
- How to graph, transform, and analyze exponential and logarithmic functions.
- How to apply properties of logarithms and solve exponential and logarithmic equations.
- How to model growth, decay, compound interest, and other real-world situations.
- How to evaluate and analyze geometric sequences and series.
- How to model direct, inverse, and joint variation.
- How to simplify and perform operations with rational expressions and solve rational equations and inequalities.
- How to analyze rational functions, including intercepts, holes, asymptotes, domains, and ranges.
- How to simplify radical expressions and solve radical equations.
- How to graph and transform radical functions.
- How to apply right-triangle trigonometry, radians, the unit circle, and trigonometric functions and identities.
- How to use the normal distribution and statistical measures to analyze data.
- How to design studies, select appropriate samples, minimize bias, and make statistical inferences from surveys and experiments.
TOPICS COVERED
This course covers the following topics:
- Exponential Growth and Decay
- Logarithms and Logarithmic Functions
- Properties of Logarithms
- The Natural Base e
- Transformations of Exponential and Logarithmic Functions
- Solving Exponential and Logarithmic Functions
- Modeling with Exponential and Logarithmic Functions
- Geometric Sequences and Series
- Variation
- Multiplying and Dividing Rational Expressions
- Adding and Subtracting Rational Expressions
- Solving Rational Equations and Inequalities
- Graphing Rational Functions
- nth Roots
- Properties of Rational Exponents and Radicals
- Graphing Radical Functions
- Operations with Radical Expressions
- Solving Radical Equations
- Right Triangle Trigonometry
- Angles & Radian Measure
- The Unit Circle
- Graphing Sine and Cosine Functions
- Graphing Other Trigonometric Functions
- Fundamental Trigonometric Identities
- Sum and Difference Identities
- Double-Angle and Half-Angle Identities
- The Normal Distribution
- Populations, Samples and Hypotheses
- Collecting Data
- Experimental Design
- Making Inferences from Sample Surveys
- Making Inferences from Experiments
