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The Basics of Relations and Functions

Learn relations and functions for pre-calculus, algebra 2 and grades 10-12 students.

The Basics of Relations and Functions

Learn relations and functions for pre-calculus, algebra 2 and grades 10-12 students.
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This lesson welcomes you and gives you a clear overview of the course, highlighting the three key ideas you will learn
This lesson explains that for you to be successful in mathematics, you should adopt an active learning style. Being an active learner means being a power learner of mathematics, and this will assist you to achieve mastery learning
In this lesson, you will learn what a relation is, what its definition is, and how to represent a relation in three different ways: as a set of ordered pairs, as a table of values, and as an arrow diagram
Lesson 4 consists of focused activity exercises that will enable you to to become a power learner and master the ideas presented in Lesson 3: Relations
This lesson provides you with clear explanations and detailed solutions for Questions 1-5 of Activity 1, which focuses on the idea of a relation
This lesson provides you with clear explanations and detailed solutions for Questions 6-10 of Activity 1, which focuses on the idea of a relation
In Lesson 7, you will learn the conditions under which a relation is, or isn't, a function, as well as understand the important definition of a function
Lesson 8 consists of focused activity exercises that will enable you to become a power learner and master the ideas presented in Lesson 7: Definition of a Function
This lesson provides you with clear explanations and detailed solutions for Questions 1-5 of Activity 2, which focuses on the definition of a function
This lesson provides you with clear explanations and detailed solutions for Questions 6-10 of Activity 2, which focuses on the definition of a function
Lesson 11 consists of a Quiz. The Quiz contains 10 multiple choice questions designed to enable you to demonstrate your knowledge and understanding of the basic ideas of relations and functions that you learned in Lessons 3 through 10
This lesson provides you with clear explanations and detailed solutions for Questions 1-10 of the Quiz, which tests your knowledge and understanding of the concepts in Lessons 3 to 10 inclusive

This introductory course is for students doing pre-calculus mathematics or algebra 2, or anyone wanting to upgrade their knowledge of mathematics. It explains everything you need to know about the basics of relations and functions: what relation is, what a function is, and when a relation is, or isn't a function. Easy to follow guidelines are provided to enable you to become a power learner of mathematics, which in turn promotes the mastery learning of key concepts. The course contains detailed video lessons, comprehensive lesson notes, extensive reinforcement exercises with fully worked solutions. The course concludes with a quiz, complete with detailed answers, for testing your knowledge and understanding of these essential mathematical ideas.

Requirements

You should be familiar with basic algebra.

This lesson welcomes you and gives you a clear overview of the course, highlighting the three key ideas you will learn
This lesson explains that for you to be successful in mathematics, you should adopt an active learning style. Being an active learner means being a power learner of mathematics, and this will assist you to achieve mastery learning
In this lesson, you will learn what a relation is, what its definition is, and how to represent a relation in three different ways: as a set of ordered pairs, as a table of values, and as an arrow diagram
Lesson 4 consists of focused activity exercises that will enable you to to become a power learner and master the ideas presented in Lesson 3: Relations
This lesson provides you with clear explanations and detailed solutions for Questions 1-5 of Activity 1, which focuses on the idea of a relation
This lesson provides you with clear explanations and detailed solutions for Questions 6-10 of Activity 1, which focuses on the idea of a relation
In Lesson 7, you will learn the conditions under which a relation is, or isn't, a function, as well as understand the important definition of a function
Lesson 8 consists of focused activity exercises that will enable you to become a power learner and master the ideas presented in Lesson 7: Definition of a Function
This lesson provides you with clear explanations and detailed solutions for Questions 1-5 of Activity 2, which focuses on the definition of a function
This lesson provides you with clear explanations and detailed solutions for Questions 6-10 of Activity 2, which focuses on the definition of a function
Lesson 11 consists of a Quiz. The Quiz contains 10 multiple choice questions designed to enable you to demonstrate your knowledge and understanding of the basic ideas of relations and functions that you learned in Lessons 3 through 10
This lesson provides you with clear explanations and detailed solutions for Questions 1-10 of the Quiz, which tests your knowledge and understanding of the concepts in Lessons 3 to 10 inclusive

About the instructors

Dr. Michael Glencross

Mathematics for Understanding
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Experienced mathematics educator and researcher working in the e-learning industry. Skilled in interactive teaching, data analysis and research design. Strong educational professional with a DPhil in Mathematics Education.

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