Homeschool Helper-custom Curriculum

Great, here's a curriculum in 12th-grade math: Grade Level: 12th Grade (Recommended Age: 17-18 years old) Course Description: This course is designed to prepare students for higher education mathematics by building on concepts from previous mathematics courses. The course will cover topics such as advanced algebra, trigonometry, geometry, and calculus. Students will develop problem-solving skills and learn to apply mathematical concepts to real-world scenarios. Course Goals: Develop a deep understanding of advanced algebra, trigonometry, geometry, and calculus Build problem-solving skills and apply mathematical concepts to real-world scenarios Prepare students for higher education mathematics Course Outline: I. Advanced Algebra Functions and graphs Polynomial and rational functions Exponential and logarithmic functions Sequences and series II. Trigonometry Trigonometric functions and their properties Trigonometric identities and equations Applications of trigonometry III. Geometry Plane geometry Solid geometry IV. Calculus Limits and continuity Derivatives Integrals Show Lessons 1 Week at a Time: Week 1: Topic: Functions and Graphs Description: This week, students will learn the basics of functions and graphs. They will learn to identify functions, graph functions, and find domain and range. Portfolio Idea: Create a poster that showcases different types of functions and their graphs. Lesson 1: Introduction to Functions Definition of a function Notation Domain and range One-to-one functions Lesson 2: Graphs of Functions Graphing linear functions Graphing quadratic functions Transformations of functions Inverse functions Lesson 3: Applications of Functions Function notation Composition of functions Domain and range of composite functions Real-world applications Assessment: Students will complete a quiz that tests their understanding of functions and graphs. Recommended Textbooks: Calculus: Early Transcendentals by James Stewart Precalculus: Mathematics for Calculus by James Stewart, Lothar Redlin, and Saleem Watson Algebra and Trigonometry by Robert F. Blitzer Materials: Graphing calculator Notebook Pencils and erasers Ruler Resources: Khan Academy: Functions and Graphs Mathway: Graphing Calculator Note for Parents: Encourage your child to practice regularly and seek help if they are struggling with the material. Help them set goals and track their progress throughout the course. That's the curriculum for the first week of 12th-grade math. Let me know if you would like me to continue with the rest of the course.