# Precalculus Oct 31 The Rational Roots Test/Roots of Polynomials

Oct 31 Quiz: Polynomial Roots

1. Identify the roots of

2. Find the roots of

3. Sketch

Classwork– Learn to Factor Cubic and Higher Polynomials Using the Rational Roots test and Synthetic Division (Lapboards recommended)

Textbook 3.2  and Read 3.6 Do p 230 AYP 1-4, C&V 5-10, Pencil Problems (they have examples).

Make Sure your Function Family Album 1-9 are done…

# Statistics Oct 31 Producing Data Vocabulary Exam

Take the Vocab Exam

If you finish early— check in Ch 5 Crossword. Finish 5.2. Write your proposal for a response bias project. Finish the 5 Experimental Designs…. or work ahead into Chapter 6.

HW: BPS 5e Ch 9 Online Quiz, KhanAcademy, More book work on Ch 8 and 9. Response Bias Survey and Proposal.

# Calculus AB Oct 31 More Optimization

Continue Optimization Video (Start at 16:00)

More Optimization Examples for HW or Study- Answers included

Related Rates, Optimization Quiz Practice x4

Derivative Applications Test on Monday– 1 Tangent Line, 1 Related Rates, 1 Curve Sketching, 1 Optimization

HW: KhanAcademy- Practice and Master Optimization and Related Rates. Textbook… Study for the test

# Precalculus Oct 30 3.2 Polynomials and their Graphs

Explore Polynomials and their graphs using Desmos

Learn about the even/odd polynomial functions

Learn about roots and multiplicity of polynomials

HW: Read and Practice from 3.2

KhanAcademy Algebra 2 Polynomial and Rational Functions

Here is a worksheet to work on

Study MAthisFun “How Polynomials Behave”

Watch Videos of “Graphs of Polynomials”

Work on Desmos Projects– Including Polynomials

# Calculus BC Oct 30 More Integration by Parts Practice

In Class Worksheet

HW: Chapter 5.6, Preview Chapter 5.7 Trig Integrals, Integration by Trigonometric Substitution, Partial Fractions 1-31 odd

# Calculus AB Oct 30 Optimization

HW Journals Filled in?

Optimization Steps

Video With Lots of Good Examples

Graded Project: Optimize The Volume of a Box (Parter Activity)– You can make a box by cutting four squares out of the corners and folding it up. What is the maximum possible volume of a box made from a 12×9 inch piece of construction paper.

Bring Me the Box by Monday and put your work inside.

Textbook Ch 4.6 p 311 1-21 odd

Study Optimization Online MathScoop

# Precalculus Oct 29 Quadratic Given Three Points

1. Warm-Up Quiz

A diver is standing on a platform 24 ft above the pool. He jumps with an initial upward velocity of 8 ft/sec. Find:

a) When he hits the water

b) His maximum height

c) His height 1 seconds into the dive

d) The time when he is 16 feet above the water

e) Sketch a graph of his jump.  DESMOS GRAPH OF SOLUTION

Get Desmos Project List— Try to do one a day!

MAKE A BOX Project Example

Also Available as a PDF

Find Three Points on the Quadratic

Create a System of Equations to solve the quadratic in y=ax^2+bx+c form

Get back to where you started… give the three points to your neighbor and see if they can solve it.

System of Equation Solver- 3×3

Need Help with Today’s Work– Google “parabola given three points”

Suggested HW: Finish Work on Ch 3.1 … Get into Chapter 3.2