Transforming Functions: Mastering Graph Modifications
In this 3-week course, students will be introduced to the idea of function transformations and how that relates to function composition and graphing. We will explore ideas and strategies that will help make this concept easy to understand.
Erin Townley
Average rating:
5.0
Number of reviews:(1)
What's included
6 live meetings
4 hrs 30 mins in-class hoursHomework
1-2 hours per week. Homework will be given after each class, and it will be discussed and reviewed in the next class if needed. Answer keys will be provided for students to be able to check their work as they complete, but it will not be required to submit the homework for grade.Certificate of Completion
1 after class completionClass Experience
US Grade 8 - 11
Intermediate Level
This course is intended to give students an opportunity to learn about the concept of function transformations and how they are used, interpreted, applied and graphed. It is intended to be an introduction to transformations, so no prior understanding of them is required. However, it will be helpful for a learner to have an understanding of functions and graphing prior to taking the course. Although we will have a set amount of content to cover each class, the class dynamics and procedures will be tailored to the unique make-up of each group. Larger groups will have more opportunity to work with partners and small group dynamics, while smaller groups will have more individual check-ins with me. The class will meet twice a week, and each meeting is 45 min to allow for ample time to explore, discuss, and practice the concepts presented. I encourage my students to be active learners by asking and answering questions, offering explanations, etc., as this enriches the experience and the learning for all students. There will be no required homework assigned in this class, but optional homework assignments/extra practice will be provided after each class meeting for students to complete when needed.
Learning Goals
Students will learn how to use function composition to apply transformations to parent functions.Students will learn how to interpret a function equation from the graph when transformations have been applied.
Syllabus
6 Lessons
over 3 WeeksLesson 1:
Function Composition and Introduction to Transformations
In this lesson we will go over the operation of function composition, define what function transformations are and how they relate to composition. We will do some simple practice of applying a single transformation to an equation. 45 mins online live lesson
Lesson 2:
Applying Multiple Transformations
In this lesson, we will focus on how to correctly apply more than one transformation to an equation, paying attention to the order in which the transformations occur. 45 mins online live lesson
Lesson 3:
Interpreting Transformed Functions
In this lesson, we will practice identifying what transformations are present in different types of functions, paying attention to different formats. 45 mins online live lesson
Lesson 4:
Graphing Transformed Functions
In this lesson, we will take our understanding of function transformation from the previous lessons and learn how to graph the transformations to turn a parent function graph into a transformed function graph. We will also discuss things like domain and range and which transformations affect them. 45 mins online live lesson
Other Details
Pre-Requisites
Students should have completed an Algebra 1 course and be familiar with the concept of functions and graphing.
Supply List
Paper Pen or Pencil Graphing Calculator (I will be using Desmos and the Numworks calculator, but any graphing calculator will work)
External Resources
In addition to the Outschool classroom, this class uses:
Joined June, 2024
5.0
1reviews
Teacher expertise and credentials
Texas Teaching Certificate in Mathematics
Master's Degree in Mathematics from University of Houston
Ever since I started teaching high school math, I noticed how regularly function transformations appear in a variety of levels and topics, from Algebra 1 to Calculus. Therefore, I made it a goal to create a course that will offer students an opportunity to form a strong foundation in a topic that will serve them well throughout their high school math courses and beyond. My qualifications for teaching this topic are:
-B.A. in Mathematics from Rice University
-M.A in Mathematics from University of Houston
-Texas Teaching Certificate
-almost 15 years teaching and tutoring courses that teach and/or use function transformations.Reviews
Live Group Course
$40
weekly2x per week, 3 weeks
45 min
Live video meetings
Ages: 12-17
4-12 learners per class
