MAT129 Fall 2024 Notes

W September 4	Intro to Course & Topics:	2.1,2.2	Notes:	09.04a, 09.04b, 09.04c, 09.04d
2.1 - The Rectangular Coordinate Systems and Graphs, pg. 74, Learning Objectives
	* Plot ordered pairs in a Cartesian coordinate system. Graph equations by plotting points.
	* Graph equations with a graphing utility. Find x-intercepts and y-intercepts.
	* Use the distance formula.
	* Use the midpoint formula.
2.2 - Linear Equations in One Variable, pg.  87, Learning Objectives
	* Solve equations in one variable algebraically.
	* Solve a rational equation.
	* Find a linear equation.
	* Given the equations of two lines, determine whether their graphs are parallel or perpendicular.
	* Write the equation of a line parallel or perpendicular to a given line.

First Day Intro to Course

Prof's Office, Schedule, Office Hours, Pink Box (for messages)

 

Letters to Students & Reply -- Things You Should Know About How This Course Is Run

 

Assignments, Quizzes, Tests, Grading and Cheating

 

Quiz/Test Instructions

 

projects/presentations

 

Quiz 1, Q1 & Letter Assignments, Due 11:59 PM, September 7, 2024

 

Graph papers Three Regular Planes Graph Paper       Three Trig Planes Graph Paper Precalc TEXTBOOK Info Precalc DownLoad or View the Text Precalc MyOpenMath Precalc Fall 2024 pdf Free Sketchpad

Equation solving calculator   https://www.symbolab.com/solver/equation-calculator/ Graphing Tool   https://goodcalculators.com/graphing-calculator/ Applications Calculator   https://goodcalculators.com/

Day #, Chapter.Section    Text Page & Content/Topic

 

2.1, 2.2

2.1 The Rectangular Coordinate Systems and Graphs, pg. 74

      coord sys @ 74, plot @ 76, TI graph @ 78, intercepts @ 79, distance @ 80, midpoint @ 82, circle @ 83, exercises @ 84

• plot, graph
  Cartesian -- definition and analytic history web page
  graphing "What's A Graph?"
• compute
  distance.gsp   -- start w/a segment, coordinatize it, build triangle, use Pythagorean Theorem to find distance
  
  
• Distance Formula, Midpoint Formula, Circles, Solving equations graphically

• GraphGivenCircle   -- Graph a circle by graphing + and - functions defined by parameters.
      * Also states equation of circle.
• Distance computation page in One-, Two-, Three-, and N-Space
• Functions and Operations Computation Page - midpoint, slope, distance, ...
• argument
• radicand
  distance   -- start w/a segment, coordinatize it, build triangle, use Pythagorean Theorem to find distance

  circleTangent   -- writes the tangent to a given circle

  GraphGivenCircle   -- Graph a circle by graphing + and - functions defined by parameters.
      * Also states equation of circle.

  circleFormula   -- writes the formula for the depicted circle

  circles, distance formula, tangents, normals
  circle.tangent.normal.gsp
      1 drag center & radius 2 create equation
      2 enter h, k, r
      3 input coord, m=, line=, perp=
      4 slide, write tangent & normal
  just circleFormula   -- writes the formula for the depicted circle
  just circleTangent   -- writes the tangent to a given circle

2.2   Linear Equations in One Variable, pg. 87

      lines @ 88, solve linear equ. @ 88, solve rational (fraction equation @ 89, Solving Rational Equations with a Binomial in the Denominator @ 91,

      slope @ 83, write equ of lines @ 94, parallel, perpendicular @ 96, exercises @ 100

• LINES -- Notes, Discussion, Activities
• Line Vocabulary
• line gsp   -- slide points A and B and generate equation of the line in 4 forms.
• linear.xls for: graphs, slope
• SLOPE SONG
• "Worn for Work -- Solve Systems of Linear Equations" Connect the Dots
• Who Has? Lines Game Cards
• trace   -- creates point defined by an x-intercept and a calculated value for y of point
  then traces the path of the point controlled by the x-intercept
• Ed's Line Project Handouts: 1a, 2a
• 
  
  LINES -- Notes, Discussion, Activities
  Line Vocabulary
  line.gsp   -- slide points A and B and generate equation of the line in 4 forms.
  line.gsp   -- line segment by dragging & by coordinates, midpoint, distance formula, point-slope equation, perpendicular, parallel lines
  -- slide points A and B and generate equation of the line in 4 forms.
  -- computes slopes and writes lines by sliding and by parameters
      1 - drag segment endpoints to compute midpoint and distance
      2 - show how the distance formula computes
      3 - find a perpendicular w/input coordinates
      4 - find parallel w/input coordinates
  linear.xls for: graphs, slope
  SLOPE SONG .htm
  solve equ w/solver -- find x-intercepts
  solve graphically
  equations of lines .htm

  © 9/30/2024, A2 http://www.mathnstuff.com/math/precalc/129/W.09.04.htm