The Basics of Relations and Functions
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The Basics of Relations and Functions

An introduction to relations and functions for pre-calculus, algebra 2 and Grades 10-12
0.0 (0 ratings)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
1 student enrolled
Created by Michael Glencross
Last updated 7/2017
English
Current price: $10 Original price: $20 Discount: 50% off
5 hours left at this price!
30-Day Money-Back Guarantee
Includes:
  • 1 hour on-demand video
  • 5 Supplemental Resources
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
What Will I Learn?
  • represent a relation or a function using a table of values, a set of ordered pairs and an arrow diagram
  • understand when a relation is or isn't a function
  • state the definition of a function
View Curriculum
Requirements
  • You should be familiar with basic algebra
Description

This short introductory course explains everything you need to know about the basics of relations and functions: what a 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 be a power learner of mathematics, which in turn promotes the mastery learning of these key concepts. The course contains detailed video lessons, comprehensive lesson notes, extensive activity exercises with fully worked solutions, and a quiz, with fully worked solutions, for testing your knowledge and understanding of these essential mathematical ideas.

Who is the target audience?
  • Students doing Pre-Calculus mathematics or Algebra 2; anyone wanting to upgrade their knowledge of mathematics
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Curriculum For This Course
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Section 1: Getting Started
2 Lectures 04:49

This lesson welcomes you and gives you a clear overview of the course, highlighting the three key ideas you will learn.

Preview 01:43

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. Easy to understand guidelines are provided to enable you to become a power learner of mathematics, and this will assist you to achieve mastery learning.

Lesson 2: Power Learning
03:06
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Section 2: Relations and Functions
10 Lectures 52:21

In Lesson 3, 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.

Preview 07:16

Lesson 4 consists of focused activity exercises that will enable you to become a power learner and master the ideas presented in Lesson 3: Relations.

Lessson 4: Activity 1 - Relations
01:18

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.

Lesson 5: Activity 1: Solutions #1-5
05:45

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.

Lesson 6: Activity 1 - Solutions #6-10
08:16

In Lesson 7, you will learn the conditions under which a relation is, or isn't, a function, as well as understand the definition of a function.

Lesson 7: Definition of a Function
07:08

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.

Preview 01:15

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.

Lesson 9: Activity 2 - Solutions #1-5
06:12

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 10: Activity 2 - Solutions #6-10
06:16

Lesson 11 consists of Quiz 1. 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.

Lesson 11: Quiz 1 - Relations and Functions
01:00

This lesson provides you with clear explanations and detailed solutions for Questions 1-10 of Quiz 1, which tests your knowledge and understanding of Lessons 3 to 10 inclusive.

Lesson 12: Quiz 1 - Solutions
07:55
About the Instructor
Michael Glencross
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1 Student
1 Course
Independent Educator and Consultant

Dr Michael Glencross has been involved extensively in education. He has taught mathematics and statistics at high school, college and university, and has supervised postgraduate research students at master’s and doctoral levels. His areas of interest and expertise are in the fields of mathematics education, statistics education, and research methodology and design.