United University

Algebra Grade 7. Functions. Collection 1

Course Difficulty Icon Intermediate
Course Type Icon Course
Course Duration Icon 13 hrs
Language version

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   An engaging, interactive course designed for children, featuring interactive tests and exercises.

This interactive course introduces students to functions, focusing on mastering the foundational concepts of functional relationships as mathematical models, understanding the definition and properties of functions, and exploring the graphical representation of linear functions. Through hands-on activities and collaborative exercises, students will build a solid foundation in mathematics, enhance their logical thinking, and develop problem-solving skills in a structured and fun learning environment.

Key Concepts Covered in the Course

  • Understanding functional dependencies as mathematical models
  • Definition, domain, and range of functions
  • Methods for defining functions
  • Graphical representation of functions
  • Linear functions: Graphs and properties

Course Modules

Module 1: Functions

  • Lesson 22: Function. Domain and range of a function. Ways of defining functions. Functional dependence between quantities as a mathematical model of real-world processes.
    Solve Problems and Complete Exercises
  • Lesson 23: Graphical Representation of Functions
    Exploring the Graphical Method
    Solve Problems and Complete Exercises
  • Lesson 24: Linear Functions: Graphs and Properties
    Understanding and Applying Linear Functions
    Solve Problems and Complete Exercises
  • Homework: Independent Study
    Complete Homework Assignment No. 5
  • Knowledge Check: Review Sections 22-24
    Complete Exercises for Chapter 3

Expected Learning Outcomes

By the end of this course, students will:

  • Provide examples of functional dependencies and linear functions
  • Understand the nature of functional relationships between variables
  • Explain concepts such as function, domain, range, and graph
  • Formulate definitions for function, graph of a function, and linear function
  • Identify and recognize linear functions and direct proportionality
  • Apply functions and graphs to model real-life processes
  • Construct and interpret graphs of functions, including linear functions
  • Solve exercises involving finding domain and range, plotting graphs, and analyzing functional characteristics

This interactive course fosters curiosity, active participation, and a strong mathematical foundation, equipping students with the skills needed for advanced topics and real-world problem-solving.

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