Line of Best Fit - Linear Regressions

Introduction

Good morning Math 1!

In today's webquest we will be looking at finding the equation of a line that passes through two points. You will have multiple resources from which to choose, so pick a resource that best benefits your learning of today's concept.

We will be using this skill as we look at regression models to determine an equation of best fit (without a calculator). 

Dream bigger than your excuses

Once you complete all tasks today, raise your hand and I will be glad to guide you to your next task for the day.

Be successful! Be proud of yourself and proud of your work! 

Task

Objectives:

1.) I can determine the slope between two points.

2.) I can write the equation of a line that passes through two points.

Find the slope of the line passing through each pair of points. Answers these FIRST before moving on! 

Remember that slope (m) is equal to rise over run. 

a. (–2, 0) and (3, 1)

b. (–1, 2) and (2, 2)

c. (0, 4) and (1, –1)

d. (3, 4) and (3, 1)

Resources:

Text-based (picture):

http://www.coolmath.com/algebra/08-lines/12-finding-equation-two-points-01

http://www.purplemath.com/modules/strtlneq.htm

http://www.mathwarehouse.com/algebra/linear_equation/write-equation/equation-of-line-given-two-points.php

http://academics.utep.edu/Portals/1788/CALCULUS%20MATERIAL/1_3%20LINEAR%20EQNS%20IN%202%20VARIABLES.pdf

Video Based:

https://www.youtube.com/watch?v=-Kk_NfgZALI

https://www.youtube.com/watch?v=u3spOO-m_Gg

https://www.youtube.com/watch?v=_E4dcIGZk_U

Process

Below are the practice problems that will be submitted to me at the end of class. Mastering today's skill is essential to be successful in the next unit, so get help when needed!

If you work really hard and you're kind amazing things will happen.

Practice Problems

1) What is an equation for the line that passes through the coordinates (2,7) and (0, 1)?

2) What is an equation for the line that passes through the coordinates (2,0) and (0,3) ?

3) What is an equation for the line that passes through the coordinates (-1,2) and (7,6) ?

4) Find the equation of the line that passes through the points (1,1) and (3,5)?

5) Find the equation of the line that passes through the points (1,3) and (2,4) ?

6) Find the equation of the line that passes through the points (2, 6) and (-2, 4) ?

7) Find the equation of a line that passes through the points (2, 16) and (-1, 7).

8) Find the equation of a line that passes through the points (2,13) and (1,8)

9) Find the equation of a line that passes through the points (4, 3) and (8,1)

Challenge Questions (up for the challenge?)

10) Find the equation of a line that passes through the points (2, 5) and (2, 12).

11) Find the equation of a line that passes through the points (5, 3) and (2, 3).

Evaluation

Todays work will be graded using the following rubric:

Standard Beginner (1)  Novice (2)    Proficient (3)   Exemplary (4)  Total   

Student stayed on task and used time wisely.

Work turned in is neat and organized

Student completed all problems 

Student is accurate in work (at least 90%)

Your total score will be graded as follows:

                 14-16 points      A

                 13-15 points      B

                 11-14 points      C 

                 Below 11 points  D

                 No work           F

Conclusion

Once you are finished, raise your hand so that I can collect your work and answer any questions that you may have pertaining to today's concept.

You have several options when your finish:

1.) Work on your final project (alone until everyone finishes).

2.) Literacy in Math assignment

3.) Exploring Polygons Activity

It always seems impossible until it's done.

Credits

This WebQuest was created by Mrs. Donabo, a secondary mathematics teacher from North Carolina. Its purpose is to guide students in their ability to write the equation of a line that passes through two points.