## Belleville High School 3rd Math Workshop© 2017, Agnes Azzolino 1 to 2.30 pm.

New Buttons

Here are some new buttons found here and at the bottom of the page. They link to work we did in the past.

 Belleville 1 Belleville 2 Assm. Inv. II

 Workshop Summary Quick comments on what we did last time. Use spreadsheets to construct and answer test questions and examine digital manipulatives. Do a little precalc, algebra, and perhaps a little statistics. End with a kinesthetic exercise.

 Spread Sheet & Digital Manipulatives Home Page Excel for Teaching and Test Writing *Multiple Strips and Fraction Bars       Paper copy and support documents *Sine Law Digital Manipulative       Paper copy and support documents *Compute Spreadsheet *Solve Triangles Spreadsheet *digital manipulatives, tokens

## A CAS, Computer Algebra System

 http://www.wolframalpha.com/examples/Math.html     *If you wish to compute, solve, plot or graph, factor, create a truth table, show work or do all sorts of other stuff, wolframalpha is for you.     Check out other things wolframalpha can do. .

## Stat

 Statistics Computation Resources stat.xls - a spread sheet completed computes needed for hypothesis tests HYPOTHESIS TESTS - different tests and their parameters

## Write A Few Problems

 Assm. Inv. II
Create Something New

Now that we've played with the compute spreadsheet, you will work alone and then you will share your work.

You do it all the time while teaching -- write a quiz, write a test, even write notes that summarize an idea or problem. Now do it using the compute spreadsheet, other spreadsheets, or the CAS.

1. Get in a group of 3 or 4 perhaps with others that teach the same course(s) that you do.
2. Use technology introduced on this page to write a problem that you might be able to give students while teaching or testing. Use an non EVALUATE or SYNTHESIZE verb.
 Assm. Inv. II
3. Be sure to include the answer with the question.
4. If others in your group are not done, write another question and answer.
5. Verbally share you question with your group and permit them to make suggestions or ask questions about your question. Be sure to:
• State the course in which the question is used.
• State the topics which have already been covered in the course.
• State the situation in which the question is given -- during lecture, on quiz, on test, on other assignment.
• State which technology you used to write the question/answer.
6. Write a new question on your original course, topic, situation so it includes a verbs in the EVALUATE or SYNTHESIZE groups on the Assessment Inventory.
7. Share the new questions with your group including the list from step 5.
8. HOW IT IS TIME TO SHOW OFF. Select one person to share their questions with the entire class by projecting the questions on the screen.
9. Discuss your questions with the entire group.
10. Select, in turn, other people to share their questions with the group and then have the group discuss the work.

## Polynomial and Rational Functions and Trig

 Dilation to Quadratic to Polynomial to Rational Function Quadratic Functions *(Line)(line)=(quadratic) Summary   Polynomial Functions polynomials more polynomials *poly.xls by degree & coeff or in factored, synthetic division, solves *Pass or Touch *Who Has? Polynomial F(x) Other Who Has Games  Rational Functions (Line)/(line)=(rational function) another kind of dilation *ratl.xls top vs bottom, graph, endbehavior, A(x)/B(x) + C(x), asymptotes Notes on Rational and Polynomial Graphing Individual Graphics Who Has? --- Rational functions  Trig Functions *sine-sine on a spreadsheet

## Basic Trig Functions and the Unit Circle

 A Central Angle and the Moving Unit Circle. *central angle, clockwise/counter-clockwise, coterminal, negative/positive angle measure sine & cosine tangent and secant cotangent and cosecant all 6 functions all 6 functions with segments labeled The Unit Circle web, static, but with color web, active The Animated Unit Circle. - animation w/text.   *UNIT CIRCLE JIG SAW PUZZLE, do it kinesthetically       unit circle jig saw puzzle master The Usual Way vs. The Active Way quadrantals notes the usual way *sine and cosine graphed *write on similar triangles     completed notes on similar triangles for tangent All 6 Functions   Proofs *Pythagorean Identities -- graphically and by hand symbolically *Examine odd/even identities     Blank 3 plane paper blank 3 planes per page, web       3 planes per page gif Other graph papers

# It's time for "Math Exercises."

Math Exercises web page

*Math Exercises

 Belleville 1 Belleville 2 Assm. Inv. II