Tiếng Việt
Course Overview
Students will solve problems involving geometric and algebraic representations of vectors and representations of lines and planes in three dimensional space; broaden their understanding of rates of change to include the derivatives of polynomial, sinusoidal, exponential, rational, and radical functions; and apply these concepts and skills to the modelling of real-world relationships. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. This course is intended for students who choose to pursue careers in fields such as science, engineering, economics, and some areas of business, including those students who will be required to take a university-level calculus, linear algebra, or physics course.
Course Syllabus
Chapter 1: Introduction to Calculus (Pages 1 to 60)
In this lesson the students will be introduced to Calculus.
Objective: By the end of the lesson the students will be able to simplify radical expressions, use limits to determine the slope and the equation of the tangent to a graph and pose problems and formulate hypotheses regarding rates of change. They will also be able to calculate and interpret average and instantaneous rates of change and relate
these values to slopes of secants and tangents, understand and evaluate limits using appropriate properties and examine continuous functions and use limits to explain why a function is discontinuous.
ACTIVITIES
Review Prerequisite Skills (pages 2 and 3): You will complete these two pages to check for your prior understanding of this lesson. You will fill in the KWL chart once you have completed the two pages.
Lesson 1.1 Radical Expressions
1. You will read pages 6 to 8.
2. Complete the exercises on pages 9.
Lesson 1.2 The Slope of Tangent
1. Read pages 10 to 18. Complete the KWL Chart once you have read the pages.
2. Complete the exercises from pages 18 to 21.
Lesson 1.3 Rater of Change
1. Read the pages 22 to 28.
2. Complete the exercises from pages 29 to 31.
Lesson 1.4 The Limit of a Function
1. Read pages 34 to 37 and complete the KWL chart once you have read these pages.
2. Complete the exercises from pages 37 to 39.
Lesson 1.5 Properties of Limits 1. Read pages 40 to 45 and complete the KWL chart once you have read these pages.
2. Complete the exercises from pages 45 to 47.
Lesson 1.6 Continuity
1. Read pages 48 to 51 and complete a KWL Chart once you have read the pages.
2. Complete the exercises from pages 51 to 53.
Chapter 1 Review Exercise
1. Complete pages 56 to 59.
Assignment Submissions
1. Chapter KWL Charts (AAL)
2. Chapter Reflection (AAL)
3. Chapter Understanding, Practice and Extending (AFL)
4. Chapter 1 Review Exercise (AFL)
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