Graphing Parabolas w/ vertex & intercepts I then graph the parabola to explain why we found the solution to be imaginary. I solve a quadratic equation and find a solution that is a pair of complex numbers. I restart and finish the example from Complex Numbers Part 1.
#Iwrite math pre calculus 12 how to#
I introduce complex numbers, show how i-squared is -1, show how to graph them, and then go through a number of algebraic examples showing how to work with them. These type of PreCalculus questions will help to prepare for the sections of Calculus called Related Rates. I do two more examples: first involving relating surface area to the volume of a rectangular solid, and second looking at the volume of a cone in terms of it's radius and then it's hight. These type of questions will help to master the type of word problems you may see in the Related Rates sections of your Calculus book. I continue with two more examples of Modeling with Functions which relate the area of regions with their perimeter. We model real life scenarios of sales and volume of a box with functions. I also explain the restriction on domain of these combined functionsĪ graphic and algebraic approach to finding inverse functions. I go over combining functions through addition, subtraction, multiplication, and division. The domain of the last example is no solution.Ĭombining Functions & Function Operations I discuss finding domain of functions with the use of graphs or graphing calculators. I introduce composition of functions and discuss domain. I cover transformations of vertical and horizontal slides, vertical stretch, horizontal and vertical reflections to help you draw quick sketches of some common graphs. Introduction to the average rate of change formula. Graphing of linear functions also included.Įquations of Parallel and Perpendicular LinesĪn introduction to finding the equations of lines that pass through a point and are parallel or perpendicular to a given line. Linear Functions, their Attributes, & Interpreting Slope and y-InterceptĬheck out there you will find my lessons organized by class/subject and then by topics within each class.Ĭontinued discussion about equations of lines and the three equation forms.
Regression Lines and Correlation with TI-84 Graphing Lines in Slope-Intercept form y=mx+bĮquations of parallel and perpendicular lines Please check out my other lessons about Linear Functions: Introduction to finding slope and graphing lines. Rate of Change Slope & Point Slope Equation of Lines PreCalculus introduction to the Definition of the Difference Quotient Introduction to piecewise functions, graphing, domain, and range. I have made adjustments to avoid this in the future. I explain how to determine if a function is even, odd, or neither and work through examples atĮven Functions 3:39 5:03 8:33 10:42 11:23 We will also state the intervals where the graph is increasing, decreasing, and constant. How to identify key features of graphs such as relative maximum and minimum, zeros, domain, range, and y-intercept. Visually identifying key characteristics of graphs I compare and contrast them with coordinates, graphs, and equations through many examples.ĮXAMPLES at 5:14 11:02 16:05 18:12 21:33 23:05 Which contains the answers to the assignment questions.I introduce the concepts of Function and Domain. Which include short response, extended response, multiple choice, and numeric response questions provided for student practice. Which are applications of the investigations, explorations or review. Which include inquiry based learning that can be teacher led, student led, or a combination of both. Most lessons can be covered in one hour (plus homework time), but some may require more time to complete. The last lesson in each unit is a practice test containing 15 multiple choice questions, 5 numeric response questions, and 1 extended response question. Each curricular unit is subdivided into individual lessons. In addition, there is some enrichment material which can be completed individually or in groups. The Pre-Calculus Mathematics 12, (Math 30-2) Workbook is a complete resource and a 100% fit for the combined Western and Northern Canadian mathematics curriculum. This app offers a rich user interface with writing, drawing highlighting and even an integrated dynamic formula builder. IWriteMath 30P is an interactive math workbook based on the Pre-Calculus Mathematics 12 and Math 30-1 for WNCP.
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