Lesson 1 - Introduction to limits Sl 5.1
In this lesson you will learn:
- To understand the concept of a limit
- To calculate limits using tables
- To interpret the limit in relation to the graph of a function
INSTRUCTIONS
1. Read: Pearson: Mathematics Applications and Interpretation SL. Page 298 - 308
2. Read: Oxford: Mathematics Applications and interpretation SL. Page 522 - 526
3. Watch: AI Calculus - Lesson 1 - Introduction to limits I.
4. Watch: AI Calculus - Lesson 1 - Introduction to limits II.
5. Formative assessment: Self Study - Calculus - Lesson 1 (available in our Google classroom)
Additional resources:
Finding limits using graphs Practice (IXL)
Determine if a limit exists (IXL)
Limits [Up to Quiz 1] (Khan Academy) ** Recommended **
Recommended practice:
Lesson 2 - Derivatives of polynomials SL 5.3
In this lesson you will learn:
- to identify the derivative as the value of the slope/gradient of a tangent line to a function f(x) at the point x.
- to evaluate the derivative for polynomial functions.
- to find the derivative of a function at x=a using your GDC.
INSTRUCTIONS
1. Read: Pearson: Applications and Interpretation SL pages 309 - 311, 317 - 321
2. Read: Oxford: Mathematics Applications and Interpretation SL pages 527 - 528
3. Watch: AI Calculus - Lesson 2 - Derivatives of polynomials I
4. Watch: AI Calculus - Lesson 2 - Derivatives of polynomials II
5. Formative assessment: Self-study - Calculus Lesson 2 (Available at Google classroom)
Additional resources:
Recommended Practice:
Lesson 3 - Tangent and Normal lines SL 5.4
In this lesson you will learn:
- to find the equation of a line tangent to a curve f(x) at a given point x=a.
- to find the equation of a line normal to a curve f(x) at a given point x=a.
INSTRUCTIONS
1. Read: Pearson: Mathematics Applications and Interpretation SL pages 336 - 342
2. Read: Oxford: Mathematics Applications and interpretation SL pages 531 - 536
Additional resources:
Equation of a tangent line (IXL)
Recommended Practice:
Lesson 4 - Increasing and decreasing functions SL 5.2
In this lesson you will learn:
INSTRUCTIONS:
Additional resources:
Recommended Practice:
Lesson 5 - Maximum and minimum points (Optimization I) SL 5.6
In this lesson you will learn:
INSTRUCTIONS:
Additional resources:
Recommended Practice:
Lesson 6 - Optimization II SL 5.7
In this lesson you will learn:
INSTRUCTIONS:
Additional resources:
Recommended Practice:
Lesson 7 - Introduction to antidifferentiation with and without boundary conditions SL 5.5
In this lesson you will learn:
INSTRUCTIONS:
Additional resources:
Recommended Practice:
Lesson 8 - Definite integrals and area under the curve SL 5.5
In this lesson you will learn:
INSTRUCTIONS:
Additional resources:
Recommended Practice:
Lesson 9 - Approximating areas using the trapezoid rule SL 5.8
In this lesson you will learn:
INSTRUCTIONS:
Additional resources:
Recommended Practice: