HIGH SCHOOL

Integrated Math 3B

This course covers the topics for the second semester of Integrated Math 3, and is aligned with California Common Core State Standards (CA CCSS.)

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FORMAT: Self-paced, online, video-based
LEVEL: High School
CREDITS: 5 (one semester)

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Full refund if you complete the entire course and don't pass.

Overview

Integrated Math 3B continues the study of advanced mathematical concepts with a focus on rational functions, sequences and series, trigonometry, and statistics. Students work with rational expressions and equations, arithmetic and geometric sequences and series, and trigonometric ratios, functions, identities, and the unit circle. The course concludes with statistical analysis, including probability distributions, sampling, experimental design, and interpreting data and results.

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RECOMMENDED AGES: High School
CREDITS: 5 (one semester)

CURRICULUM

Course contents

  • 1.1 Inverse Variation
    1.2 Graphing Rational Functions
    1.3 Multiplying and Dividing Rational Expressions
    1.4 Adding and Subtracting Rational Expressions
    1.5 Solving Rational Equations

  • 2.1 Intro to Sequences and Series
    2.2 Arithmetic Sequence and Series
    2.3 Geometric Sequence and Series
    2.4 Finding Sums of Infinite Geometric Series

  • 3.1 Right Triangle Trigonometry
    3.2 Solving Right Triangles
    3.3 Angles and Radian Measures
    3.4 The Unit Circle
    3.5 Graphing Sine, Cosine, & Tangent Functions
    3.6 Graphing Cotangent, Secant, & Cosecant Functions

  • 4.1 Trig Identities: Reciprocal & Pythagorean
    4.2 Trig Identities: Cofunctions & Even/Odd Functions
    4.3 Using Sum and Difference Formulas
    4.4 Law of Sines
    4.5 Law of Cosines

  • 5.1 Normal Distributions
    5.2 Populations Vs. Samples
    5.3 Collecting Data
    5.4 Experimental Design
    5.5 Analyzing Sample Surveys
    5.6 Analyzing Results from Experiments

  • 6.1 How to Cross Multiply
    6.2 Ratios & Rates
    6.3 Using Proportions to Solve Word Problems
    6.4 Perimeter, Area, & Volume of Similar Figures
    6.5 Scale Drawings & Models
    6.6 Convert Between Percent & Fractions
    6.7 Solving Percent Problems
    6.8 Markups, Discounts, & Tax Problems

UNIT 1, LESSON 1.1

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The Law of Sines

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