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Unit A Concepts 1-3: Finding slope and writing equations of lines

Unit A Concepts 1-3: Finding slope and writing equations of lines

Author: Crystal Kirch
Description:

 

Finding the slope of a line given two points
 
Writing the equation of a line given slope and a point or two points
 
Writing the equations of parallel and perpendicular lines given a line and a point
(more)
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Tutorial

Just some thoughts...

Concepts 1-3? Should be a piece of cake.  If not, please take this lesson VERY SLOWLY, and maybe even do some research of your own online (YouTube, Google, Coolmath.com, etc).

Even though you may be saying, "Oh yeah, I got this"... PLEASE PLEASE PLEASE make sure to FULLY understand the details of this concept.  It's MORE than just solving the problems in Math  Analysis...

YOU MUST BE ABLE TO SOLVE, EXPLAIN YOUR THOUGHT PROCESSES, AND MAKE CONNECTIONS among these concepts that you have seen as "so easy" in the past.

Start yourself on the right path by taking even these "easy concepts" seriously!

Unit A Concept 1 - Intro

This video will introduce you to VANG - the four ways we will be dealing with functions in Math Analysis. Also, it will review the four types of lines and describe them in terms of the type of slope they will have. This is an important introduction video to make sure you listen through.

Source: Created by Crystal Kirch using Camtasia for Mac

How does VANG apply to the slope formula?

Verbally - the rate of change of an object or phenomena. (i.e. You are picking up 5 more shells every 1 week is a rate of change)


Algebraically - found using the formula (y2-y1)/(x2-x1); represented by the letter 'm'


Numerically - on a table, we see the slope as the change (delta) in y over the change (delta) in x


Graphically - on a graph, we see the slope as the rise over the run.

Unit A Concept 1 - Part 1

This video will review using the slope formula to find slopes when given two ordered pairs. It is important to also note what type of line is represented by the slope.

Source: Created by Crystal Kirch using Camtasia for Mac

Unit A Concept 2 - Part 1

This video will review writing the equation of a line when given a point and a slope or when given two points. It will review all four types of lines, including "uphill positive", "downhill negative", "horizontal zero", and "vertical undefined". Both slope-intercept form and point-slope form will be introduced, but this video will focus on slope-intercept form.

Source: Created by Crystal Kirch using Camtasia for Mac

Unit A Concept 3 - Part 1

This video will review the characteristics of and differences between parallel and perpendicular lines. We will also write the equations of lines that are either parallel or perpendicular to a given line. This lesson will include all types of lines, including "uphill positive", "downhill negative", "horizontal zero", and "vertical undefined".

Source: Created by Crystal Kirch using Camtasia for Mac

SSS Requirements

Before moving on, please make sure the following problems from your SSS are complete and correct, as based on what I went over in the video. 

 

Page 2 #1-4

Page 3 #1-8

Page 4 #1-6

Practice Quiz (PQ) requirements

Before moving on, please complete the following PQ problems on your own.

  • These problems must be done on lined paper and labeled clearly with “Unit ___ Concept ___ Practice Quiz” at the top of each page.  PLEASE HIGHLIGHT THIS TITLE SO IT IS VERY CLEAR WHERE ONE ASSIGNMENT STARTS AND ENDS. 
  • You must show all work, all steps, and all thought processes for these assignments.  If you feel like you don’t need to show any work, you must explain your thought process in a few sentences.  No step by step work = no credit.
  • You must check your answers to the PQ problems (answers are on the last page of each SSS packet) and re-work through any problems you got wrong.

You must MASTER this material, so if you are getting them wrong, you need to figure out how to do them correctly.  Please contact me if you have a question (you can add a question at the end of this tutorial) and I can work out another example video for you.

 

​PQ 1 #1-4

​PQ 2 #1-4

​PQ 3 #1-4

Unit A Reflection (Concepts 1-3)

Please answer questions posed below correctly and completely.

You MUST re-watch the video if you don't know the correct answer.

Completely means:
1) Complete sentences
2) Detailed answers

Source: Created by Google Docs