one-sided-limits-graphs-continuity-infinity-absolute-value-squeeze-thereom-calculus-review

# Interactive video lesson plan for: One Sided Limits, Graphs, Continuity, Infinity, Absolute Value, Squeeze Thereom - Calculus Review

#### Activity overview:

This calculus review tutorial focuses on evaluating one sided limits from graphs and functions including absolute value functions, trigonometric, exponential and logarithmic functions. It also goes into the squeeze theorem and the greatest integer function. This video contains plenty of examples and practice problems for you to work on.

Here is a list of topics:
1. Evaluating the limit of a function graphically
2. Discontinuity - Jump, Infinite, Point, Removable and Nonremovable
3. How to determine if the limit does not exist using the left hand limit and the right hand limit
4. Infinite Limits at Vertical Asymptotes
5. Right Sided Limit of Natural Log Function
6. Using a table of values to estimate the limit
7. Piecewise Functions and the 3 step continuity test
8. Properties of Limit Laws - Addition, Subtraction, Multiplication, Division, Sum, Product, Difference, and Quotient of Limits
9. Direct Substitution Property of Limits
10. The Squeeze Theorem of Limits
11. Limits and the Greatest Integer Function - Step Function / Sandwich Theorem
12. Evaluating Limits By Factoring Using Difference of Squares Method, Sum and Difference of Cubes Formula, Trinomials with Leading of Coefficient of 1.
13. Evaluating Limits of Square Root / Radical Functions By Multiplying The Fraction By the Conjugate - Numerator and Denominator
14. Limits of Complex Fractions - Common Denominator
15. Evaluating Limits of Absolute Functions & Piecewise Functions
16. Finding Points of Discontinuity
17. Find the value of the constant c that makes the piecewise function continuous using systems of equations and solving by elimination
18. Limits at Infinity - Horizontal Asymptotes
19. Limits of Trigonometric Function - Sine, Cosine, Tangent, and Secant - sinx, cosx, tanx, and secx
20. Evaluating Limits of Exponential Functions at Infinity - e^x
21. Finding the Limit of Polynomial and Rational Functions with Fractions, Exponents, and Square Roots
22. Limits of Inverse Tangent / Tan Function at Infinity - Horizontal Asymptote at pi/2
23. Left and Right End Behavior of Functions Using Limits
24. Evaluating one sided limits algebraically

Tagged under: sided limits calculus, sided limits absolute , sided limits,limits,limits infinity,limits continuity,limits calculus,trigonometric functions,horizontal asymptotes,graph,limits infinity radicals,square roots,trig functions,continuity limits,continuity,absolute ,calculus,squeeze theorem,exponential functions,discontinuity,logarithmic functions,piecewise functions,greatest integer function,factoring,3 step continuity test

Clip makes it super easy to turn any public video into a formative assessment activity in your classroom.

Add multiple choice quizzes, questions and browse hundreds of approved, video lesson ideas for Clip

Make YouTube one of your teaching aids - Works perfectly with lesson micro-teaching plans

Play this activity

1. Students enter a simple code

2. You play the video

3. The students comment

4. You review and reflect

* Whiteboard required for teacher-paced activities

## Ready to see what elsecan do?

With four apps, each designed around existing classroom activities, Spiral gives you the power to do formative assessment with anything you teach.

Quickfire

Carry out a quickfire formative assessment to see what the whole class is thinking

Discuss

Create interactive presentations to spark creativity in class

Team Up

Student teams can create and share collaborative presentations from linked devices

Clip

Turn any public video into a live chat with questions and quizzes

### Spiral Reviews by Teachers and Digital Learning Coaches

@kklaster

Tried out the canvas response option on @SpiralEducation & it's so awesome! Add text or drawings AND annotate an image! #R10tech

Using @SpiralEducation in class for math review. Student approved! Thumbs up! Thanks.

@ordmiss

Absolutely amazing collaboration from year 10 today. 100% engagement and constant smiles from all #lovetsla #spiral

@strykerstennis

Students show better Interpersonal Writing skills than Speaking via @SpiralEducation Great #data #langchat folks!