Introduction
Welcome: Introduction to Algebra 2
Description: In this specific lesson, you will learn about the radical functions!
Grade Level: 9-12
Curriculum: Math
Keywords: Math, Radical Functions, Algebra 2, High School, Radicals
Task
odays tasks are broken up into 3 major parts. Some will be done individually, and some with one or more partners.
The first task for today, is to to understand the basics of Radical Functions:
1. The first part of this task is to learn how to find the nth roots and radical exponents.
In order to accomplish this task, i have included two two links to videos, to better prepare yourself! Please watch these videos, and take notes!
http://www.virtualnerd.com/algebra-2/radical-functions/nth-roots-ration…
http://www.virtualnerd.com/algebra-2/radical-functions/nth-roots-ration…
The next task, is to partner up with someone around you.
2. After you have found a partner, open up your book to the section about, Inverse Relations and Functions.
An inverse of a relation is the inverse of ordered pairs. Here is an example.
Relation: (2,0) (3,4) (-4,-3) and (1,5)
Now, in order to fine the inverse, you take the x and y coordinates, and flip them.
The inverse of these ordered pairs would now become,
Inverse: (0,2) (4,3) (-3,-4) and (5,1)
Now, do problems 2, 4, 6, 8, and 10 on a separate piece of paper, REMEMBER you will be turning this in.
After you have finished task 2, its time to move on to the next task.
3. In this next task, you and your partner will be joining 2 other people.
Using your graphing calculator, bring up the x, y table. After you have done that, you and your group will be using the problem completed in task 2, in this task.
This task will help you find the domain and range of the inverse and relation. You wont need your calculator much on this, but in order to get use to it, were going to use it.
When putting in the relation of the x, and y coordinates into the calculator, write what you just did on your piece of paper. REMEMBER to write everything you do to accomplish this task on your paper.
After that is completed, find the inverses of each questions relation. When that is all done, find the Domain and the Range of each inverse. Remember, the Domain is the x value, and the Range is the y value.
Process
In order to complete the tasks, here is what you will need to do:
Task 1,
Watch the videos about nth roots, and rational exponents, and take good notes. These notes may or may not be used on the test.
http://www.virtualnerd.com/algebra-2/radical-functions/nth-roots-ration…
http://www.virtualnerd.com/algebra-2/radical-functions/nth-roots-ration…
Task 2,
With your partner, you will need to complete the 5 problems about inverse of relations, on your own separate piece of paper. After that is completed, pair up with another group of students.
Task 3,
After you have found 2 other students to join you and your partner, you guys will be figuring our the domain and range of the inverse of relations from task 2. In order to do this, you will need to have done the 5 problems assigned to you in the task before this.
Evaluation
ask 1, will not be graded, but you may use your notes on the test. How good of notes you have taken, determines your overall grade on the test. If you are borderline between a B and an A, and your notes showed you watched the videos, then that will determine whether your grade gets the boost.
Task 2, will be graded on percentage correct. Each question is worth a total of 2 points, making 10 points possible.
Task 3, will be graded by the rubric shown below.
Rubric
| # | 20-16 | 15-11 | 10-6 | 5-0 | Score |
|---|---|---|---|---|---|
| Followed directions | Task was completed by following directions. | Task was completed following most of the directions. | Task was completed following 3/4ths of the directions. | Task was completed but did not follow any of the directions. | |
| Work Shown | All problems have their work shown. | Most problems show their work. | Only a couple of problems show work. | One or no problems show work. | |
| Group Effort | Everyone did their part to help out with the assignment. | Everyone but one person did their work to help with the assignment. | Two people did their part to complete the assignment. | Only one person did the work for the assignment. | |
|
Total Score: |