Algebra Grade 9. Quadratic function. Collection 1

Embark on an exciting journey through algebra! Our "Algebra Grade 9. Quadratic Function" course offers a dynamic learning experience that brings the principles of quadratic functions to life. Through interactive lessons, quizzes, and engaging activities, students will gain a deep understanding of functions, their properties, and transformations.

Why choose our course:

• Interactive quizzes and tests: Test your knowledge and reinforce learning with engaging and challenging quizzes.
• Expertly crafted content: Developed by experienced educators to ensure high-quality and effective learning.
• Focus on mathematical analysis: Encourage students to analyze functions, explore transformations, and develop logical reasoning.

Course Module

Module 1: Quadratic Function

• Lesson 8: Function. Domain, range, and graph
• Solve problems and complete exercises
• Solve problems and complete exercises
• Lesson 9: Properties of functions
• Solve problems and complete exercises
• Solve problems and complete exercises
• Lesson 10: Basic transformations of function graphs
• Solve problems and complete exercises
• Solve problems and complete exercises
• Lesson 11: Function y = ax² + bx + c, a ≠ 0. Its graph and properties
• Solve problems and complete exercises
• Solve problems and complete exercises
• Independent Homework #2
• Review Tasks for Lessons 8-11
• Lesson 12: Quadratic Inequalities
• Solve problems and complete exercises
• Solve problems and complete exercises
• Lesson 13: Solving Systems of Second-Degree Equations with Two Variables
• Solve problems and complete exercises
• Solve problems and complete exercises
• Lesson 14: Systems of Equations as Mathematical Models of Applied Problems
• Solve problems and complete exercises
• Solve problems and complete exercises
• Independent Homework #3
• Review Tasks for Lessons 12-14
• Practice Exercises for Module 1
• Key Takeaways from Module 1

Expected Learning Outcomes

• Identifies examples of functional dependencies, quadratic functions, relationships described by quadratic functions, and quadratic inequalities.
• Recognizes quadratic functions among other types of functions and quadratic inequalities among other inequalities.
• Understands which relationships between variables are functional, the essence of the function concept, and the significance of function properties.
• Explains key function-related concepts such as argument, function, domain, range, and graph.
• Names and illustrates different ways of defining a function.
• Calculates function values at given points.
• Explains graph transformations including shifting, reflection, and scaling.
• Describes function properties based on its graph.
• Understands that systems of two-variable equations can serve as mathematical models of real-life situations.
• Solves problems involving:
  • Determining domain and range of a function.
  • Finding function values for given arguments.
  • Identifying key characteristics of a function based on its graph.
  • Locating function zeros and sign intervals analytically.
  • Graphing quadratic functions using transformation techniques.
  • Solving quadratic inequalities.
  • Solving systems of second-degree equations graphically and algebraically.
  • Constructing and solving systems of equations as mathematical models of applied problems.

By the end of this course, students will have a thorough understanding of quadratic functions, their applications, and various problem-solving methods.