Chapter 1 - Summary of ideas, actions, thoughts and everything else

This is the spot to post all things chapter 1.

@rbroussard3 @kellis1 @ashley.segalla @tspahn - how are things going with Chapter 1? Have y’all got what you wanted from a WORD document and put into Pressbook?

If y’all are still using the Business Precalculus resource by Lippman for Chapter 1, here is a list of objectives that were provided in the MyOpenMath course that we found that uses the text:

Chapter 1 Learning Objectives

  • Define a function and identify a function from words, tables, graphs, and formulas (1.1)
  • Use and interpret function notation (1.1)
  • Solve and evaluate functions (1.1)
  • Determine the domain and range from graphs, formulas (1.2)
  • Graph and evaluate piece-wise functions (1.2)
  • Calculate the rate of change of a linear function numerically, graphically, verbally, and symbolically. (1.3)
  • Interpret the rate of change verbally and graphically including interpretation in business applications. (1.3)
  • Identify intervals where a function increases and/or decreases. (1.3)
  • Write and Identify linear functions (1.4)
  • Identify increasing and decreasing functions (1.4)
  • Find the slope and vertical intercept of a linear function (1.4)
  • Determine the equation of a line given various information (2 points, a point and the slope, a point and some information about the slope such as a parallel or perpendicular line). (1.4)
  • Sketch the graph of a line given a point and the slope, or two points with and without a calculator. (1.5)
  • Identify parallel and perpendicular lines (1.5)
  • Model a variety of business applications including the following: Break-even analysis for linear revenue, cost, and profit functions, equilibrium points for linear demand and supply functions, finding a linear cost, revenue, or profit function given information such as marginal cost, fixed cost, price per item, etc (1.6)
  • Determine the best fit line by hand and using technology (1.7)
  • Determine the linear regression for a given set of data that is approximately linear and interpret its accuracy with a calculator. (1.7)

I also have some for Chapter 2 and 3. After that, the MyOpenMath course used a different resource (for chapters 4-12): https://myopenmaths3.s3.amazonaws.com/cfiles/29937/CollegeMathematicsTextbookMAT14x1stEdition.pdf

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We decided that Lippman’s Chapter 1 on functions and our Chapter 1 on prerequisites and linear equations don’t quite coincide. We decided that heavy of a focus on functions doesn’t belong in Finite Math. I think Kiel made a post about it in another topic with the resources we found and are thinking about using. This week we are looking at other resources to bring together for our next Monday meeting. I think at this point we have a better idea of what exactly we are looking to put in our Chapter 1. We want more of a focus on graphing points, linear equations (with slope intercept and tables), solving one step and multi-step equations, and solving literal equations. This should be doable by the deadline.

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Thanks for the update!