Content:

  1. Exploring Data
  2. Modeling Distributions of Data
  3. Describing Relationships
  4. Designing Studies
  5. Probability
  6. Random Variables
  7. Sampling Distributions
  8. Estimating With Confidence
  9. Testing a Claim
  10. Comparing Two Populations or Groups
  11. Inference for Distributions of Categorical Data
  12. More about Regression

Pre-cal 12 topics include:

  1. Function transformations
  2. Radical functions
  3. Exponential functions
  4. Functions and Inverses
  5. Logarithmic Functions
  6. Trigonometry and the Unit Circle
  7. Trigonometric Ratios and Special Angles
  8. Trigonometric Functions and graphs
  9. Polynomial Functions
  10. Rational Functions
  11. Function operations
  12. Function toolkit
  13. Limits

Options:

  1. Trigonometric Identities
  2. Permutations, combinations, and the binomial theorem
  3. Explorations:
    1. Elipses
    2. de Moivre Theorems
    3. Fast Fourier Transforms
    4. The Lagrangian

Content:

  1. Sequences and series
  2. Trigonometry
  3. Quadratics
  4. Quadratic equations
  5. Radical expressions and equations
  6. Rational expressions and equations
  7. Absolute value and reciprocal functions
  8. Systems of equations (linear and quadratic)
  9. Linear and quadratic inequalities

Welcome to the Understanding Radicals course! This comprehensive course is designed to help students master the fundamentals and advanced concepts of radicals in mathematics. From simplifying radicals to applying them in real-world problems, this course is structured to build confidence and proficiency in handling radical expressions.

Units Overview:

  1. Simplifying Radicals
    Learn the basics of radicals, including simplification techniques and properties of square and higher-order roots.

  2. Adding and Subtracting Radicals
    Understand how to combine like radicals, simplify before operations, and solve complex addition and subtraction problems.

  3. Multiplying and Dividing Radicals
    Explore the product and quotient rules for radicals, simplify results, and handle expressions with negative and fractional radicals.

  4. Special Products of Radicals
    Master the squaring of radicals, expanding binomials, and using the difference of squares formula in radical expressions.

  5. Rationalizing Denominators
    Learn to simplify radical fractions by rationalizing denominators, including those with binomials and higher-order roots.

This course provides clear explanations, engaging activities, and practical assessments to ensure a solid understanding of radical expressions and their applications. Perfect for students aiming to strengthen their math skills or prepare for advanced algebra topics!