header2

 

DUE TO MAJOR CHANGES IN GEOGEBRA THE OLD GEOGEBRA MODULES
THAT I DEVELOPED ARE NOT WORKING. I MUST GET TO ALL THE MODULES AND REWORK THEM
BASED ON THE NEW FORMAT OF TRANSFORMING GEOGEBRA MODULES TO WEB BASED MODULES.
THIS WILL BE A MAJOR TIME CONSUMMER SO THIS MAY TAKE SOME TIME.
PLEASE LET ME KNOW IF YOU FIND MODULES THAT ARE NOT WORKING.


gm

READ

 

mis

ct

alreg

geometry
alg2trig

GETFLEXBOOKS

percentages

angle rules

area

polygons

volume

circle theorems

transformations

graphs

quadratics

transformations of curves

trigonometry

THANKS TO EALC.COM FOR THE FOLLOWING SUMMARY SHEETS

algebra

geometry

geoimage

TRIG DEF

CALC DERIV

CALCINTEGRAL

 

GET EXTRA CREDIT AND HAVE COMMUNITY SERVICE BY HELPING
TEACHERS IN THEIR MATH CLASSES

Hey gang,

MOTION INDUCEDMath teachers could use in-class helpers for some of their classes. If you have a free block and you are in my Accelerated Pre-Calculus class or AP Calculus class and want to help those teachers, including myself, you'll get extra credit. If you're interested please contact me at landrg@portlandschools.org. Keep in mind that if you choose to do this it's a commitment for the semester though you do not have to do this every day. This will look great on your college applications!

mr. L.
Mr. L.

 

open study

 

triillusio

DO YOU LOVE MATH AND PHYSICS AND
LOVE TO SEE
COOL APPLICATIONS?


DO YOU LOVE STATISTICS? MR. BORLAND DOES!

SO CHECK OUT THIS STATISTICS VIDEO!

 

IS THERE A SCIENCE OF MOTIVATION?


 

DID YOU KNOW?
dys

Dyscalculia is a difficulty in learning mathematics which is thought to affect 3-6% of the population and may be due, at least in part, to a dysfunction of areas of the brain that represent numerical information. While dyscalculia has been studied for many years in the educational field, cognitive neuroscience research on dyscalculia is only just beginning.

LEARN MOREABOUT DYSCALCULIA

  why

Most of us take it for granted that math works—that scientists can devise formulas to describe subatomic events or that engineers can calculate paths for space­craft.

So Is math invented or discovered? A leading astrophysicist suggests that the answer to the millennia-old question is both.

LEARN MORE ABOUT WHY MATH WORKS

 


HAVE YOU EVER WANTED TO SAIL OR BOAT ON THE OCEAN?
IF SO YOU HAVE TO UNDERSTAND
"SINGLE ANGLE BEARINGS" AND "DIRECTIONAL BEARINGS"
TO GET TO YOUR DESTINATION.


NOW FOR A FEW PRACTICAL REAL WORLD PROBLEMS

 

ALGEBRA AND GEOMETRY
FLASHCARDS
 
SYM MATH

 

ALGEBRA WORKBOOKS
thanks to CEMTL

Do you want to approach Algebra in a slightly different way. Here are a series of 9 workbooks - yes, workbooks that a student can print out and do work inside the pages. This is a way for students to have a portfolio of work.

Workbook 1 - Number Systems
Workbook 2 - Rational Numbers, Fractions, Decimals
Workbook 3 - Algebra
Workbook 4 - Equations
Workbook 5 - Factorising
Workbook 6 - Graphing Lines
Workbook 7 - Quadratic Graphs and Graphs of Special Functions
Workbook 8 - Problem Solving
Workbook 9 - Logs and Indices

ALL 9 BOOKS IN ONE - 308 PAGES

DOWNLOAD THE COMMON ERRORS IN ALGEBRA PDF

 

GEOMETRY, ALGEBRA AND MORE WORKSHEETS
FOR LEARNING GEOGEBRA - THANKS TO CEMTL

An Introduction to GeoGebra

Workbook 1 - Drawings Vs. Geometric Constructions
- rectangles.html

Workbook 2 - More Constructions, Measurements and Sliders

Workbook 3 - Algebraic Input, Functions & First Principles
- param.html
- text.html
- period.html
- funcdomain.html
- derivative.html

Workbook 4 - Creating New Tools, Sequences, Checkboxes & Transformations
- newtool.html
- seq.html
- checks.html
- transform.html

Workbook 5 - Dynamic Colours, Spreadsheet, Vectors, Calculus and Animation
- dynamic.html
- spread.html
- vec.html
- area.html
- sin.html

Workbook 5 Expanded Methods - Spreadsheets and Calculus
-
diff.html

Workbook 6 - Radian Measure, Fractions and Optimisation
- rad.html
- fractions.html
- opt.html

 

COOL PROOFS
thanks to
Professor Richard Delaware

The 3 Prerequisite Skills For Understanding Professor Delaware's Lectures

Skills 1 & 2: Modus Ponens and Modus Tollens

Skill 3: Law Of Contradiction or Reductio Ad Absurdum

Professor Delaware's 3 Proofs

Proof 1: The Square Root of 2 is Irrational

Proof 2: There Are The Same Number of Rational Numbers as Natural Numbers

Proof 3: There Are More Real Numbers Than Natural Numbers

ct1 ct2
ct3 ct4
CT5 ct6

 

37 COLLEGE ALGEBRA LECTURES ON VIDEO
by
Dr. Richard Delaware

Lecture 1 - Numbers Lecture 2 - Language of Mathematics Lecture 3 - The powers that be -Exponents Lecture 4 P I - Polynomial Expressions
Lecture 4 P2 - Polynomial Expressions Lecture 5 - More numbers and Geometry Lecture 6 - Graphs P1 Lecture 7 - Graphs P2
Lecture 8 - Graphs P3 Lecture 9 - Functions and Their Graphs P1 Lecture10 - Functions and Their Graphs P2 Lecture 11 - Functions and Their Graphs P3
Lecture12 - Functions & Their Graphs P4 Lecture 13 - Functions & Their Graphs P5 Lecture 14 - Functions & Their Graphs P6 Lecture15 - Equations in One Variable P1
Lecture 16 - Equations in One Variable P2 Lecture 17 - Equations in One Variable P3 Lecture 18 - Equations in One Variable P3 Lecture 19 - Equations in One Variable P4
Lecture 20 - Inequalities in One variable P1 Lecture 21 - Inequalities in One Variable P2 Lecture 22 - Inequalities in One Variable P3 Lecture 23 - Polynomial and Rational Functions
Lecture 24 - Polynomial and Rational Functions Lecture 25 - Locating the Zeros of a Polynomial Function Lecture 26 - Locating the Zeroes of a Polynomial Function Lecture 27 - Rational Functions
Lecture 28 - Exponential Functions Lecture 29 - Logarithmic Functions Lecture 30 - Logarithmic Functions Lecture 31 - Exponential Functions
Lecture 32 - Systems of Linear Equations Lecture 33 - Systems of Linear Equations Lecture 34 - System of Non-Linear Equations Lecture 35 - Sequence P1
Lecture 36 - Sequence P2 Lecture 37 - Series & Induction Lecture 38 - The Binomial Theorem Lecture 39: Introduction to Proofs

-----------------------------------------------------------------------------------------------
NEW TO DEERINGMATH.COM !!!!
UNIVERSITY ALGEBRA CLASS AND WORKSHEETS TO
PREPARE FOR THIS CLASS
-----------------------------------------------------------------------------------------------

It's important that you understand that a university algebra class is more rigorous than a high school algebra class. If you plan to take a university algebra class it will be in your best interest to work your way through these prerequisite worksheets including a Comprehensive Review,  Exit Exam Review and a Practice Exit Exam.

These worksheets and answer keys will also be useful for an Algebra 1 Part 1 and Algebra 1 Part 2 class.

There is also a full course of University Algebra in pdf format on this page.

GO TO WORKSHEETS AND KEYS TO PREPARE FOR
A UNIVERSITY ALGEBRA CLASS AND THE UNIVERSITY ALGEBRA CLASS

aplu

---------------------------------------------------
WHAT ARE CONICS?
---------------------------------------------------

Conics, or conic sections, are the intersection of a plane with an infinite double cone. If that plane cuts both cones, it is a hyperbola. If it is parallel to the edge of the cone, you get a parabola. If neither is the case, it is an ellipse. The ellipse is also a circle if the plane is perpendicular to the altitude of the cone.

conics

Note that none of these are the case if the plane passes through the vertex of the cone.

GET A CONICS FORMULA PDF HERE

 

---------------------------------------------------------------------------------------------
THE COOLEST MATH SEARCH ENGINE - WOLFRAM ALPHA
---------------------------------------------------------------------------------------------

eg. 1) In the above field type:
factor x^2+5x+6
Then left click the equal sign.
  eg. 2) In the above field type:
expand (3x-2)(4x+7)
Then left click the equal sign.
  eg. 3) In the above field type:
solve 3x^2+2x-4=0 for x
Then left click the equal sign.
         
eg. 4) In the above field type:
together 1/(x+3)+3/(2x+7)
Then left click the equal sign.
  eg. 5) In the above field type:
simplify (x^2+5x+6)/(x+3)
Then left click the equal sign.
  eg. 6) In the above field type:
plot x^2, x=0..5
Then left click the equal sign.

Copy and paste the following symbols if you need them: π or θ
Use the caret symbol for a power, i.e. x2 can be written as x^2
and roots can be written with fractional powers.

See a Video Introduction on WolfRam/Alpha

See WolframAlpha Usage for Mathematics and Algorithms

---------------------------------------------------------------------------------------------
MATHEMATICA PLAYER
---------------------------------------------------------------------------------------------

tedtvUsing Mathematica Player you can read or print any Mathematica notebook, viewing text,graphics, typeset math, and animations. You will be able to interact with Mathematica applications which you can download here. Choose the Mathematic's Category or any other category you find of interest. 

 

MAKE SURE YOU HAVE INSTALLED THE MATHEMATICA PLAYER. USE THE WINDOWS OR MAC LINK BELOW TO DOWNLOAD THE PLAYER TO INSTALL ON YOUR COMPUTER.

You will have to fill in a short form in order to get the Mathematica Player

Once you have downloaded and installed the Mathematica Player
test it with one of the files below.


---------------------------------------------------------------
SAT STRUGGLES: NUMBER THEORY
---------------------------------------------------------------

hotjobsSo what does it take to perform well on the Number Theory section of the SAT? There is NO one easy path and no instructional practices in and of themselves that will guarantee that a student will perform well on the Number Theory portion of the SAT. But, it is an absolute MUST that a student understand and memorize a number of arithmetic facts that demand time, effort and concentration - in effect, hard work - if a student is going to perform well on this section.

LEARN THESE NUMBER THEORY FACTS IF YOU WANT TO PERFORM
WELL ON THE NUMBER THEORY SECTION OF THE MATH SAT
INTEGERS   The Concept
DIVISIBILITY RULES   Dividing By 1 Through 10
REMAINDER THEORY  
Part 1 - Divisor, Dividend, Quotient, Remainder
Part 2 - Even Numbers: 0 is an even number!
Part 3 - Odd Numbers
MORE ON ODD AND EVEN NUMBERS   Multiplication/Addition/Subtraction of Odd and Even Numbers
CONSECUTIVE INTEGERS   The Concept
COSECUTIVE ODD/EVEN INTEGERS   The Concept
MULTIPLES OF AN INTEGER   The Concept
FACTORS OF A NUMBER   The Concept
MISSING DIGITS   The Concept

NUMBER THEORY QUESTION

If p - 10 is divisible by 6, then which of the following must also be divisible by 6?

a) p b) p - 4 c) p + 4 d) p - 6 e) p + 6

SEE ANSWER AND EXPLANATION


-------------------------------------------------------------------------
WHAT IS CURRENT IN BRAIN RESEARCH?
-------------------------------------------------------------------------

vrVilayanur S Ramachandran is Director of the Center for Brain and Cognition and professor with mitthe Psychology Department and the Neurosciences Program at the University of California, San Diego. He is also Adjunct Professor of Biology at the Salk Institute.  Professor Ramachandran's work has concentrated on investigating phenomena such as phantom limbs, anosognosia or denial of paralysis, Capgras syndrome, and anorexia nervosa. V.S.R. has written a number of fascinating books on brain functioning The research from these books has led to a deeper understanding of the nature of mathematical and metaphorical comprehension. Also consider watching the online videos on mathematics and brain research that I have linked here.

mit online

Below are the Reith Lecture's V.S.R. gave in 2003 in 5 parts.

You will need the Real Audio Player to listen to these lectures

NPR


-------------------------------------------------------------------
WHAT BROWSERS YOU WILL NEED HERE
-------------------------------------------------------------------

rcFirst, it is important that you have the proper web browser in order to use all the interactive features available here.

If you are a windows and/or mac user consider FIREFOX which will work with all the features here.

Internet Explorer is buggy and will not work well with the LIVE MATH modules that are embedded at this site.

Here are a list of browsers that you might want to consider:Firefox ,Internet Explorer ,Opera ,Safari and Google Chrome.

All the best,

mr landry

 

video request

CCFMW

3d

thanksmrx

md

mathpower

JUSTMATH

HC

KHAN

sl

jmp

bstrom

interactmath

mm

math tv

teachyourself

mathway

perfect

sat



Education Week
Teacher Training No Boon for Student Math Scores   By Debra Viadero

 

sdsmall

Study Finds Concrete Examples Don't Help Students Learn Math

NCTMM


 

-----------------------------------------------
INTERACTIVE MATH AT DEERING
MATH

-----------------------------------------------

- Data Charting Program at Deering Math : In development by Mr. Landry and others

 

-------------------------------------------------------
3 NEW ONLINE COURSES AT
DEERING MATH

-------------------------------------------------------

NEW!! - Full Course In Calculus - by Professor Gilbert Strang

MATHEMATICAL LOGIC - PDF FORMAT
You can download this to your computer once you have loaded this book in either adobe reader or your browser.

STATSOFT - Online electronic statistics  textbook.

-------------------------------------------------------
LEARN LATEX
A MATH MARKUP LANGUAGE
-------------------------------------------------------

LaTex is a document mark-up language used by mathematicians, scientists and engineers. LaTex enables math symbols and math notation to be used in textbook editors, and on the web with such programs as Google Docs, Moodle and GeoGebra.

GO LEARN SOME INTRO LATEX AT DEERINGMATH.COM
or
TRY DRAGMATH INSTALLED AT DEERINGMATH.COM

--------------------------------------------------------
STATISTICAL DATA

--------------------------------------------------------

climatechip.png

- GEOHIVE : A site with geopolitical data, statistics on the human population, Earth and more.

- GAPMINDER: Unveiling the beauty of statistics in a fact based world.

- NATIONMASTER : A massive central data source and a handy way to graphically compare nations. NationMaster is a vast compilation of data from such sources as the CIA World Factbook, UN, and OECD.

- CENSUS BUREAU : Serves as the leading source of quality data about the nation's people and economy.

- STATEMASTER : A unique statistical database which allows you to research and compare a multitude of different data on US states.

- WORLDOMETERS: World statistics updated in real time.

- DATAFINDER : A database with hundreds of variables for the US and the world.

- WORLD TRADE ORGANIZATION STATISTICAL DATABSE: Provides Trade, Tariff, Service and Time Series Profiles

- ENERGY INFORMATION ADMINISTRATION: Official energy statistics from the US government.

- NATIONAL CENTER FOR EDUCATIONAL STATISTICS : The primary federal entity for collecting and analyzing data related to education.

- ECONSTATS : Economic Statistics, Financial Statistics, Money supply, and GDP

--------------------------------------------------------
ONLINE READING AT DEERING MATH

--------------------------------------------------------

RIGOR REDEFINED from Educational Leadership Magazine

Math's Checkered Past: Teach With It! by Mark Wahl

The Unlimited Infinite - Exploring the Philosophy of Mathematics

Multiple Intelligences
spacerby Howard Gardner

Summary of The Theory of Multiple Intelligences
spacerby Dr. Thomas Armstrong

- WHY YOU NEED MATHEMATICS

Learning Style Tests: Test 1 : Test 2

-------------------------------------------------------
VIDEOS AND  INTERACTIVE MODULES

-------------------------------------------------------

---------------------------------
Number Theory
---------------------------------

- ARE THERE MORE COUNTING NUMBERS THAN ODD NUMBERS?

- MULTIPLICATION WITH YOUR FINGERS


---------------------------------
ALGEBRA
---------------------------------

... MULTIPLICATION AND PARENTHESES

- PRIME FACTORIZATION AND FACTOR PAIRS

... ORDER OF OPERATIONS
PART 1: PART 2 : PART 3

... MONOMIAL,TERMS AND FACTORS

... THE WORLD OF EXPONENTS

... ADDING SIGNED NUMBERS ON A NUMBER LINE

...VARIABLES: 4 PARTS
PART 1 | PART 2 | PART 3 | PART 4

... ABSOLUTE VALUE

... USING DUDE TO ADD INTEGERS

... USING DUDE TO SUBTRACT INTEGERS

... CARTESIAN COORDINATE SYSTEM:
PART 1 : PART 2 : PART 3  : PART 4
more to come

GEOGEBRA EXERCISES: ADDING LIKE TERMS BY MR. L.

  1. ADDING LIKE TERMS 1

  2. ADDING LIKE TERMS 2

GEOGEBRA EXERCISES: EVALUATE AN ALGEBRAIC EXPRESSION BY MR. L.

  1. EVALUATE  ALGEBRAIC EXPRESSION 1

  2. EVALUATE ALGEBRAIC EXPRESSION 2

  3. EVALUATE ALGEBRAIC EXPRESSION 3

...SOLVING AN EQUATION IN THE FORM OF ax + b = c. by Mr. L.

...GEOGEBRA EXERCISE: SLOPE OF A LINE by Mr. L.

...GEOGEGRA EXERCISE: BEST FIT LINE by Mr. L.


---------------------------------
PRE-CALCULUS
---------------------------------

...THE NUMBER e:
Part 1
: Part 2 : Part 3

...LOGARITHMS:
Part 1: Part 2 : Part 3

RADIANS

...WHAT IS A RADIAN? by Mr. L.

... THE RADIAN CREATOR - INTERACTIVE MODULE by Mr. L..

... THE UNIT CIRCLE MEMORIZATION TOOL by Mr. L.

TOOLKIT FUNCTIONS

- TOOLKIT FUNCTIONS - STILL UNDER CONSTRUCTION



---------------------------------
AP CALCULUS
---------------------------------

THE TANGENT LINE HYPOTHESES USING AN INTERACTIVE AUTOGRAPH MODULE by Mr. L....still a work in progress

GEOGEBRA MODULE: RIEMANN SUM by Mr. L.

LIMITS BY MR. L.

- Limit using lim x→ 5  f(x) = 25 using Geogebra

- Limit using lim x→ 2  f(x) = 5 using Geogebra

- Limit using lim x→ 6   f(x) = 6/7 using Geogebra

- Limit using lim x→ 5   f(x) = 7 using Geogebra

VOLUMES

By Slices: Part 1: Part 2 : Part 3 :

INFINITE SEQUENCES BY MR. L.

Infinite Sequences Part 1


Infinite Sequences Part 2

Infinite Sequences Part 3

Convergence of an Infinite Sequence

Divergence of an Infinite Sequence

SERIES BY MR. L.

...The Ratio Test: Part 1 : Part 2 : Part 3 : Part 4

 

---------------------------------------------------------
WHAT'S HAPPENING IN THE WORLD
OF MATH AND SCIENCE
-------------------------------------------------------

- SCIENCE DAILY - MATHEMATICS NEWS

- MATHEMATICS DISCOVERIES

- PUBLIC SCHOOLS AS GOOD AS PRIVATE SCHOOLS IN RAISING MATH SCORES, STUDY SAYS

- Evidence Of Water Found Deep Within The Moon

- New Drug Reverses Alzheimer's Disease Within Days In Mouse Models

- Applied Mathematician Makes Cloaking Device Concept Moves Beyond Theory

- Major discovery' from MIT primed to unleash solar revolution


----------------------------------------------------------
DOCUMENTARIES - MOVIES
INTERVIEWS - FAMOUS AUTHORS -
EXTRAORDINARY LIVES
----------------------------------------------------------

- DANIEL TAMMET: THE BOY WITH AN INCREDIBLE BRAIN: 5 PARTS
1 | 2 | 3 | 4 | 5

- EXTRAORDINARY PEOPLE: THE BOY WHO SEES WITHOUT EYES: 5 PARTS
1 | 2 | 3 | 4 | 5

- MY BRILLIANT BRAIN SERIES
PART 1
PART 2
PART 3
PART 4
PART 5

- BBC'S BEAUTIFUL EQUATIONS

- THE HISTORY OF EAST INDIAN MATHEMATICS
Part 1
: Part 2

- INFINITY AND BEYOND: Georg Cantor
... By our third year, most of us will have learned to count. Once we know how, it seems as if there would be nothing to stop us counting forever. But, while infinity might seem like an perfectly innocent idea, keep counting and you enter a paradoxical world where nothing is as it seems.
Mathematicians have discovered there are infinitely many infinities, each one infinitely bigger than the last. And if the universe goes on forever, the consequences are even more bizarre.

- Beauty and Truth in Mathematics and Science

- THE BIRTH OF CALCULUS:
PART 1 : PART 2

- PROOF: THERE ARE THE SAME NUMBER OF RATIONAL NUMBERS AS NATURAL NUMBERS

BENOIT MANDELBROT AT TED TV- THE CREATOR OF FRACTAL MATHEMATICS: FRACTALS AND THE ART OF ROUGHNESS

NOVA: HUNTING THE HIDDEN DIMENSION - Mysteriously beautiful fractals are deepening our understanding of nature

- BBC's The Mathematics Of The Earth's Population: How Many People Can Live On Planet Earth?

- BBC's Einstein's Equation Of Life And Death

- THE ELEGEANT UNIVERSE
PART 1  |   PART 2  |   PART 3

- VR RAMACHANDRAN - PHANTOMS IN THE BRAIN - 2 EPISODES IN PARTS
Episode 1: 1 | 2  | 3 | 4 | 5
Episode 2: 1 | 2 | 3 | 4 | 5

- VR RAMACHANDRAN - SECRETS OF THE MIND:
PART 1 : PART 2 : PART 3

- NOVA: HOW MEMORY WORKS

- SPLIT BRAIN RESEARCH
...Early Split Brain Research
...Curious Split Brain

- PBS's "Inside The Teenage Brain"
...In "Inside the Teenage Brain," FRONTLINE chronicles how scientists are exploring the recesses of the brain and finding some new explanations for why adolescents behave the way they do. Confronted by these new discoveries, academics, counselors, and scientists are divided on just what all this means for children. These discoveries could change the way we parent, teach, or perhaps even understand our teenagers.

- HOWARD GARDNER
... MULTIPLE INTELLIGENCES
: PT 1 : PT 2
...5 MINDS FOR THE FUTURE

- NOVA: BECOMING HUMAN SERIES
PART 1 : PART 2 : PART 3

- WHAT DARWIN NEVER KNEW

- APE GENIUS FROM PBS NOVA

- WILDLIFE - MOUNTAIN GORILLA

- THE GORILLA KING

- NOVA: DOGS DECODED

- SCIENTIFIC THEORY
...
WHAT IS SCIENCE? WHAT IS SCIENTIFIC THEORY? by Richard Feyman
... THE SCIENTIFIC METHOD MADE EASY...SCIENTIFIC METHOD THE MONTY PYTHON WAY

- EARTH'S INVISIBLE SHIELD

Content
Contact Mr. L.
at



Thanks for checking out Deeringmath.com. I hope you'll find this site helpful. Feel free to make any suggestions.

There are far too many people who have helped me over the years to thank. But thanks to all of you including the Portland Public School  System for my job which has enabled me to follow my dreams.

And a special thanks to all my students who have cared and the parents who have supported me over the years.