In this course, we review and build upon the skills developed in grade 10 to prepare you for higher level math in grade 12. Topics will include an introduction into what functions are, how they are notated, and how they are graphed. In addition to building upon our trigonometric skills from grade 10, we will also explore the graphs of sin(x) and cos(x) as well as where they can be applied in the real world. Finally, we will look at series and sequences, exponentials and the applications to financial math.
Here is the plan for the first two unit tests (all of strand A from the curriculum) - each will be comprised of approximately nine lessons.
Solving Quadratics Review Videos:
Lesson 1.1
In this lesson we explore what it means for something to be a relation, and what the defining characteristics are for something to be a function.
Blank Lesson
Lesson 1.1 Video
Homework Solutions
Homework Videos:
Lesson 1.2
In this lesson we learn what function notation is and how it relates to what we have done in the past. We look at using function notation to evaluate a function given some input in order to identify a point of interest.
Blank Lesson
Lesson 1.2 Video
Homework Solutions
Homework Videos (Nelson Text):
Page 23 # 3
Lesson 1.3
In this lesson we look at representing the possible values of a function/relation using the domain (x) and range (y).
Blank Lesson
Lesson 1.3 Video
Homework Solutions
Homework Videos:
Investigation 1
In this investigation, you take your knowledge on function machines (inputs and outputs) to create the parent functions that we will discuss in this course.
Blank Investigation
Investigation Solutions
Formative 1
This formative covers all content from Lessons 1.1-1.3 as well as some factoring review.
Lesson 1.4
In this lesson students use their linear solving skills acquired in the last lesson to find the inverse of a function f(x).
Students will become aware of how the inverse compares with the original both graphically and algebraically.
Lesson 1.5
In this lesson students take their knowledge of transformations of quadratics from grade 10, specifically horizontal and vertical translations, and explore how they look in function notation.
Blank Lesson
Lesson Video - Part 1
Lesson Video - Part 2
Homework 1.5
Homework 1.5 Answers
Lesson 1.6
In this lesson, students will build upon their conceptual knowledge of a vertical stretch and compression and apply it to the new functions that we have learned about this unit. Additionally, we look at how to horizontally stretch and compress a graph and when we know to do so based on what we see in the equation.
Lesson 1.7
In this lesson we look at compiling all six transformations we have learned and applying them to not only the parabola, but also to the other functions we have studied in this course so far.
Blank Lesson
Lesson Video
Homework 1.7
Homework 1.7 Solutions
Formative 2
This formative encompasses the topics covered from Lessons 1.4 - 1.7. Inverses and Transformations of functions.
