Some Facts about Memorizing Pi
According to Wikipedia, the current world record is 100,000 decimal places, set on October 3, 2006 by Akira Haraguchi. However, on the website http://www.pi-world-ranking-list.com/, Chao Lu holds the world's record at 67,890 digits.
There are many ways to memorize π. The most common technique is to memorize a sentence in which the number of letters in each word is equal to the corresponding digit of π. For example, just memorize the following simple phrase: "I wish I could recollect pi easily today" for the first 8 decimal digits.
Some other mnemonics (memorization tricks) include the use of piems, which are poems that represent π in a way such that the length of each word (in letters) represents a digit. This poem gives the first 20 digits, and uses the separation of the poem's title and main body to represent the decimal point (note the error: the word remember has 8 letters instead of 9):
Pie
I wish I could remember pi
Eureka, cried the great inventor
Christmas pudding, Christmas pie
Is the problem's very center.
Another, more poetic 30 digit version is:
Sir, I send a rhyme excelling,
In sacred truth and rigid spelling,
Numerical sprites elucidate,
For me the lexicon's dull weight,
If nature gain, not you complain
Tho' Dr Johnson fulminate.
Website Recommendation
For more fun with Pi, visit the Pi Land site at www.eveandersson.com/pi/ which includes a chart showing the frequency of each digit, a Pi trivia game and a Trainer for digit memorization.
The California State Tests are almost upon us. Some of you would like to keep reviewing the questions we've been going over in class so here are the links to the released test questions:
3rd Grade
http://www.cde.ca.gov/ta/tg/sr/documents/rtqgr3math.pdf
4th Grade
http://www.cde.ca.gov/ta/tg/sr/documents/rtqgr4math.pdf
5th Grade
http://www.cde.ca.gov/ta/tg/sr/documents/rtqgr5math.pdf
Have fun!
*********************************************
INTERMEDIATE MATHEMATICS - ACTIVITIES FOR 3RD THROUGH 5TH
Sharpen your skills with Lessons, Practice and Play:
3rd Grade: http://www.aaamath.com/grade3.html
4th Grade: http://www.aaamath.com/grade4.html
5th Grade: http://www.aaamath.com/grade5.html
Links to Vocabulary
3rd Grade: http://www.hbschool.com/glossary/math_advantage/glossary3.html
4th Grade: http://www.hbschool.com/glossary/math_advantage/glossary4.html
5th Grade: http://www.hbschool.com/glossary/math_advantage/glossary5.html
For a broad selection of math activities, these sites give you plenty to choose from. If you are looking for practice in a specific area, scroll down for Addition, Subtraction, Multiplication, Division, Prime Numbers, Factorization, etc.
http://globalclassroom.org/2006/math_intermediate.html (Interactive activities)
http://www.edhelper.com/math.htm (Free and Subscription)
http://www.brainpop.com/ (5-day free trial and Subscription)
http://www.pokemonlearningleague.com/ (One month free trial and Subscription)
For Virtual Manipulatives and Visual Learners -
http://maththatcounts.com/page2.html
http://www.visualmathlearning.com/
http://nlvm.usu.edu/en/nav/vlibrary.html
*******************************
PLACE VALUE OF WHOLE NUMBERS
Powerpoint:
http://www.maththatcounts.com/Place%20Value%201.ppt
*******************************
PLACE VALUE OF DECIMALS
Lesson, Practice, Play:
http://www.321know.com/dec51bx2.htm
*******************************
ROUNDING WHOLE NUMBERS
Find the place value and circle that digit.
Move to the right and underline get it.
0 to 4 Circle stays the same.
5 to 9 Add one is the game.
Now, flex your muscles like a hero.
Digits to the right change to zero.
All other digits remain the same.
Yo! You're a winner in the rounding game.
Powerpoints:
http://www.maththatcounts.com/Rounding[1].ppt
http://www.hazelwood.k12.mo.us/~cdavis01/map2000/5th/hh02.ppt
*******************************
ROUNDING DECIMALS
Powerpoints:
http://www.maththatcounts.com/Rounding[1].ppt
Lessons and Practice:
http://www.math.com/school/subject1/lessons/S1U1L3GL.html
*******************************
ARITHMETICS
There are some wonderful websites that have games and practice in ADDITION, SUBTRACTION, MULTIPLICATION, and DIVISION. In addition, these sites also allow you to choose a grade level. Dositey.com has lessons, too. And don't forget Study Island, which has lessons and explanations when you answer a problem incorrectly.
http://www.playkidsgames.com/games/mathfact/default.htm
http://www.playkidsgames.com/games/apples/savetheApples.htm
http://www.learningplanet.com/act/mayhem/index.asp - practice against other players and improve your speed
***************************************
ADDITION/SUBTRACTION
Games and Practice:
Addition flashcards: http://www.aplusmath.com/Flashcards/addition.html
Addition facts: http://www.oswego.org/ocsd-web/games/Mathmagician/mathsadd.html
Subtraction flashcards: http://www.aplusmath.com/Flashcards/subtraction.html
Addition ~ http://www.oswego.org/ocsd-web/games/SpeedGrid/Addition/urikares.html
http://www.oswego.org/ocsd-web/games/SumSense/sumadd.html
http://media.emgames.com/emgames/demosite/playdemo.html?activity=M1A042&activitytype=dcr
Balance addition equations ~ check it out: http://www.crickweb.co.uk/assets/resources/flash.php?&file=nbKS1
*******************************************
ESTIMATION AND ROUNDING
Powerpoint:
http://www.lexington1.net/technology/instruct/ppts/mathppts/Numeracy%20&%20Concepts/Rounding.ppt
Lessons and Activities:
http://www.numbernut.com/advanced/activities/estimate_quiz_estsum10.shtml
Check the correctness of the sum by estimating (also known as approximating): http://www.primaryresources.co.uk/maths/pdfs/IM_check1.pdf
*************************************
MULTIPLICATION
Powerpoints and Lessons:
Multiplication Powerpoint: http://www.maththatcounts.com/Multiplication.ppt
Two digit numbers by one digit - Lesson 1 http://www.dositey.com/muldiv/mul1ml1.htm
Two digit numbers by one digit with regrouping - Lesson 2 http://www.dositey.com/muldiv/mul1mlreg.htm
Then play this game - http://www.hbschool.com/activity/mmath/mmath_knack.html
Interactive Multiplication using arrays, lattice and the common way http://nlvm.usu.edu/en/nav/frames_asid_192_g_2_t_1.html
Games and Practice:
Find the factors - http://www.hbschool.com/activity/mult/mult.html
http://jmathpage.com/JIMSMultiplicationpage.html - Check out game 9 (baseball with 2 digits)
Bonanza of multiplication activities:
http://math.pppst.com/multiplication.html
http://www.multiplication.com/interactive/quickflash/flash/index.html
*****************************************
DIVISION
Powerpoints:
Long division powerpoint with one digit divisors for review http://www.lexington1.net/technology/instruct/ppts/mathppts/number%20operations/Long%20Division.ppt
Long division powerpoint with double digit divisors http://www.lexington1.net/technology/instruct/ppts/mathppts/number%20operations/2%20Digit%20Division.ppt
Division powerpoint with zero in the dividend http://www.lexington1.net/technology/instruct/ppts/mathppts/number%20operations/Division%20with%200.ppt
Common division problems powerpoint http://www.lexington1.net/technology/instruct/ppts/mathppts/number%20operations/Division%20Trouble.ppt
Divisibility Rules http://www.lexington1.net/technology/instruct/lessons/elementary/math/pf/pfdivisibility.ppt
Games and Practice:
http://www.crickweb.co.uk/assets/resources/flash.php?&file=goal2 - Soccer Division is challenging
http://math.pppst.com/division.html
*********************************************
NEGATIVE AND POSITIVE INTEGERS
Powerpoints:http://www.lexington1.net/technology/instruct/ppts/mathppts/Numeracy%20&%20Concepts/integers1.ppt.ppt
Games and Practice:
cool for negative integer practice - http://www.waldomaths.com/Arith1NL.jsp
http://nlvm.usu.edu/en/nav/frames_asid_162_g_2_t_1.html
http://pbskids.org/cyberchase/games/negativenumbers/negativenumbers.html
http://www.dositey.com/addsub/Mystery11.htm adding and subtracting integers
Lessons:
http://www.math.com/school/subject1/lessons/S1U1L11GL.html
Worksheets:
http://www.eduplace.com/math/mw/practice/5/reteach/22_5.pdf
http://www.eduplace.com/math/mw/practice/5/practice/22_5.pdf
http://www.eduplace.com/math/mw/practice/5/enrichment/22_5.pdf (challenge)
http://www.eduplace.com/math/mw/practice/5/reteach/22_6.pdf (word problems)
***************************************************
PRIME NUMBERS AND FACTORIZATION
Powerpoints:
Divisibility Rules http://www.lexington1.net/technology/instruct/lessons/elementary/math/pf/pfdivisibility.ppt
Lessons, Games and Practice:
http://www.bbc.co.uk/education/mathsfile/shockwave/games/gridgame.html - Find factors, multiples, powers, and more - three levels
GCF - Play against your partner
Factor Tree - fun game! practice then extend the activity by writing with exponents http://cryptoclub.math.uic.edu/factortree/factortree.php
http://www.visualmathlearning.com/pre_algebra/chapter_7/chap_7.html (has an interactive counter where you can program a number and find the factors)
Prime and Composite Numbers
List the factors of numbers and identify which numbers are prime or composite.
http://www.quia.com/mc/900363.html-Challenging Prime Factorization Matching Game
The Sieve of Eratosthenes
Follow rules to find all prime numbers from 0 - 100
Prime Factors and Prime Factorization
This site gives the prime factorization for numbers up to 100.
Factor Trees
Use these factor trees to get the prime factorization of a number
Drag and Drop It Like Its HOT
Scroll to the bottom for the activity. Drag every number to its proper column.
GCF - http://www.aaamath.com/B/fra66gx2.htm
the Factor Game
Play against the computer or another person. Let me know who wins.
Factor Powerpoint
This has about 10 slides to read (free tutorial), and then a nice game follows at the end.
Prime Factorization Calculator
Just type in any number and it will give you its prime factorization.
http://nlvm.usu.edu/en/nav/frames_asid_202_g_3_t_1.html
Factor lesson - http://www.cimt.plymouth.ac.uk/projects/mepres/book8/bk8i2/bk8_2i1.htm
Prime Factorization lesson -http://www.cimt.plymouth.ac.uk/projects/mepres/book8/bk8i2/bk8_2i2.htm
Worksheets:
http://www.eduplace.com/math/mw/practice/5/reteach/9_2.pdf
Factors/Greatest Common Factors/Lowest Common Multiples:
LCD and LCM - http://www.maththatcounts.com/Fractions%20XI.ppt
http://www.math.com/school/subject1/lessons/S1U3L1GL.html
http://www.math.com/school/subject1/lessons/S1U3L2GL.html
http://www.math.com/school/subject1/lessons/S1U3L3GL.html
Worksheets:
GCF: http://www.eduplace.com/math/mw/practice/5/reteach/9_3.pdf
http://www.eduplace.com/math/mw/practice/5/practice/9_3.pdf
LCM: http://www.eduplace.com/math/mw/practice/5/reteach/9_4.pdf
http://www.eduplace.com/math/mw/practice/5/practice/9_4.pdf
********************************************
EXPONENTS, SQUARES, AND SQUARE ROOTS
Powerpoints:
http://www.maththatcounts.com/Exponents[1].ppt#2
http://www.maththatcounts.com/ExponentsL[2].ppt#2
Lessons and Practice:
http://www.math.com/school/subject1/lessons/S1U1L8GL.html
Math Goodies
study chart - then take quiz at end (you may use a calculator)
Square Roots:
http://www.math.com/school/subject1/lessons/S1U1L9GL.html
***********************************************
COORDINATE PLANES AND FUNCTIONS
Games and Practice:
Coordinate Planes: (Note that the levels determine difficulty - level 1 (the clover) is the simplest level) http://bellevillebulldogs.tripod.com/id21.html
http://www.bbc.co.uk/education/mathsfile/shockwave/games/planethop.html
http://www.oswego.org/ocsd-web/games/BillyBug2/bug2.html
Printable Coordinate Grids - http://donnayoung.org/math/c-grids.htm#grids
See "Geometry" for Translations, Rotations, and Reflections
Functions: http://pbskids.org/cyberchase/games/numbersense/machine.html
http://www.crickweb.co.uk/assets/resources/flash.php?&file=fmach
http://pbskids.org/cyberchase/games/functions/
Magic Pot Template: http://mathwire.com/templates/magicpotworkmat.pdf
Lessons, Review and Practice:
http://www.math.com/school/subject2/lessons/S2U4L1GL.html
**********************************************
GRAPHS
Powerpoints:
http://www.maththatcounts.com/Graphs[1].ppt
Bar Graph - http://www.hazelwood.k12.mo.us/~cdavis01/map2000/4th/math01.ppt#1
Videos:
Graphs used to their fullest and most interesting potential in the real world - http://www.ted.com/index.php/talks/view/id/92
Lessons, Review and Practice:
Graph Quiz - http://www.thatquiz.org/tq/practice.html?graphs
Create a graph - http://nces.ed.gov/nceskids/createagraph/
Worksheets:
Choose an appropriate graph - http://www.eduplace.com/math/mw/practice/5/reteach/7_4.pdf
Stem and Leaf Plot - http://www.eduplace.com/math/mw/practice/5/reteach/8_3.pdf
**********************************************
MEAN, MEDIAN, MODE AND RANGE
Powerpoints:
http://jc-schools.net/PPT/Mean%20Median%20Mode.ppt
For more practice and more challenging examples - http://www.stelmo.org/Highschool/faculty/WalkL/Mean,%20Median,%20and%20Mode.ppt
Worksheets:
http://www.eduplace.com/math/mw/practice/5/reteach/8_2.pdf
http://www.eduplace.com/math/mw/practice/5/practice/8_2.pdf
**********************************************
DECIMALS - ADDING AND SUBTRACTING
Games and Activities:
Practice decimals as related to Money - http://www.funbrain.com/cashreg/
Simple decimal adding game with train tracks - http://pbskids.org/cyberchase/games/decimals/decimals.html
Level 1 - Math Matching
Find the equivalent decimals
Level 2 - Math Matching
Match the equivalent decimals.
Lessons, Review and Practice:
http://www.math.com/school/subject1/lessons/S1U1L4GL.html
DECIMALS - MULTIPLYING
Lessons, Review and Practice:
http://www.math.com/school/subject1/lessons/S1U1L5GL.html
DECIMALS - DIVIDING
Lessons, Review and Practice:
http://www.math.com/school/subject1/lessons/S1U1L6GL.html
**********************************************
FRACTIONS
Powerpoints:
Fractions I - Teaches what numbers in a fraction represent. Defines numerator and denominator.
Fractions II - Teaches wholes, halves, thirds, quarters, eighths, fifths, tenths and how they are related to each other using pies.
Fractions III - Teaches greater than and less than and how to compare fractions when the numerator is 1.
Fractions IV - Teaches equivalent fractions and how to find them.
Fractions V - Defines and illustrates a mixed number and improper fraction. Teaches how to change an improper fraction to a mixed number and a mixed number to an improper fraction
Fractions VI - Teaches factor, common factor, simplest form, greatest common factor and how to simplify or reduce fractions.
Fractions VII - Teaches how to add fractions with like denominators. Some answers are simplified.
Fractions VIII - Teaches how to subtract fractions with like denominators. Some answers are simplified.
Fractions IX- Teaches product, multiple, common multiple, least common multiple, and how to set up an addition fraction problem with unlike denominators.
Fractions X - Teaches how to add fractions with unlike denominators.
Fractions XI - Teaches how to add mixed numbers with unlike denominators and how to convert improper fractions in the answer to mixed numbers and add this to your final answer.
Fractions XII - Teaches how to subtract unlike denominators.
Fractions XIII - Teaches how to take a fraction of a whole number and how to multiply a fraction and a whole number.
Fractions XIV - Teaches when to multiply fractions together, the conceptual understanding behind multiplying fractions, and how to multiply fractions with fractions. http://www.lexington1.net/technology/instruct/ppts/mathppts/number%20operations/Fractions%20XIV.ppt
Fractions XV - Teaches when to multiply fractions and mixed numbers together, the conceptual understanding behind multiplying mixed numbers and fractions, and how to multiply fractions and mixed numbers. http://www.lexington1.net/technology/instruct/ppts/mathppts/number%20operations/Fractions%20XV.ppt
Games and Practice:
Simplifying Fractions See fractions side by side
Bowling for Fractions Color in the spaces and then identify the fraction; each time you are correct you get a bowling pin
Naming Fractions Write the fraction corresponding to the highlighted portion of a shape.
Fraction Flags Students will use the paint tools to color the flag pieces in thirds as indicated.
Fraction Flags (halves and quarters)
Melvin's Make a Match Game Can you find the equivalent fractions in this online game. Solve the problems and move on to a higher level!
Fraction Track Game This two person game allows students to explore equivalent fractions and adding fractions in a fun game format.
Tony's Fraction Pizza Shop Read client orders and create pizza with appropriate amount of toppings
The Fractotron Fractions will appear on the screen. Spot if they are more, less or equal to 1/2.
Fraction Sorter Students represents fractions by coloring in the appropriate portions of either a circle or a square, then order those fractions from least to greatest.
Find Grampy Grampy will hide behind the hedge somewhere between 0 and 1. To find him you must enter a fraction in lowest terms.
3rd Grade
Math Matching
Match the fractions to the models
Math Matching
Match the fractions to the decimal equivalents
4th Grade and 5th Grade
Math Matching
Find the equivalent fraction model.
Fraction Man
Launch fabulous fireworks with Fraction Man!
Level 1 - Math Matching
Try to match the fraction with the equivalent decimal.
Level 2 - Math Matching
Try to match the fraction with the equivalent decimal.
Math Matching
Find fractions and their matching decimal equivalents.
5th Grade - Lessons and practice in all aspects of fractions and decimals - http://www.maththatcounts.com/page8.html
Match Equivalent Fractions - http://www.learningplanet.com/sam/ff/index.asp
Are you a visual learner? Go to http://www.visualfractions.com/
http://www.kidsolr.com/math/fractions.html
Change Mixed Numbers to Fractions - http://www.visualfractions.com/MixtoFrCircle.html
Lessons, Practice, Review, and Help:
Learn fractions through Pizzas - http://math.rice.edu/~lanius/fractions/index.html
http://www.math.com/homeworkhelp/HotSubjects_fractions.html
http://www.math.com/homeworkhelp/EverydayMath.html
**********************************************
PERCENTS
Powerpoints:
Percents I Teaches introduction to percents, percent equivalents infractions and decimals.
Percents II Teaches a brief review of what a percent is and how to find percents of whole numbers.
http://jc-schools.net/tutorials/PPT/PercentNumber.ppt#1 More practice on finding percents of whole numbers.
Percents III Teaches how to change a fraction to a percent.
Lessons, Review and Practice:
http://www.math.com/school/subject1/lessons/S1U1L7GL.html
**********************************************
ORDER OF OPERATIONS (OR PEMDAS)
Lessons, Games, Review and Practice:
Math Goodies
study tutorial - then take quiz at bottom
Practice Quiz
10 question quiz - How did you do?
Amby
Great tutorial and pretest
aplusmath
Can you solve it
Mnemonic Slide Show - PEMDAS
**********************************************
TIME
Lessons, Review and Practice:
Time Quiz - http://www.thatquiz.org/tq/practice.html?time
Matching Game - http://www.hbschool.com/activity/con_math/g03c05.html
Interactive Clock - http://www.teachingtime.co.uk/clock/clockres.html
**********************************************
MONEY
Lessons, Review and Practice:
http://www.hbschool.com/activity/con_math/g03c07.html
Practice decimals as related to Money - http://www.funbrain.com/cashreg/
**********************************************
WORD PROBLEMS AND PROBLEM SOLVING
Games and Practice:
http://www.maththatcounts.com/page4.html
http://www.edhelper.com/math.htm
www.syvum.com/math/wordproblems/level1.html
http://www.syvum.com/math/wordproblems/level2.html
www.mrsbogucki.com/cgi-bin/quiz.pl?FILE=wordprob
http://www.thinkingblocks.com/ThinkingBlocks_AS/TB_AS_Main.html
http://www.homeschoolmath.net/teaching/teach-solve-word-problems.php
http://www.mathstories.com/ (Subscription)
http://www.teachnet.com/brainbinders/ What are Brain Binders? Each page linked below contains one puzzle with a finished picture. The goal is to fold the puzzle into a shape with a solid color on each side. Simply print, cut out, and fold to match the finished picture...it sounds easy until you try it! Brain Binders - All you need is a sheet of paper and a brain.
**********************************************
GEOMETRY
Lessons and Practice:
http://www.maththatcounts.com/page6.html
Games and Practice:
Translations new!
Rotations new!
Reflections new!
Dr. Gee`s 3-D Lab
Join Dr. Gee in the 3-D Lab!
Patterns for Solid Figures
Complete nets that make a cube.
Fit Shapes Together to Form A Design
Angles:
http://www.mathopenref.com/angle.html
How to measure angles using a protractor: http://www.mathopenref.com/constmeasureangle.html
Lines, Rays & Angles Definitions
**********************************************
NUMBER PATTERNS
Games and Activities:
http://www.funbrain.com/cracker/index.html
**********************************************
THE "I DON'T KNOW WHERE TO PUT THIS SITE" SECTION
Lots of links for lessons and games to do with Factors, Divisibility and Multiples - covers Prime Factorization, Common Factors (GCF), Common Multiples (LCM), Comparing Fractions, Adding and Subtracting Fractions, Renaming Fractions and Mixed Numbers, Adding and Subtracting Mixed Numbers, Decimal Place Value, Integer Exponents, Scientific Notation, Tree Diagrams, Metric Conversions, Constructing Triangles, Multiplication and Division - ALL ON ONE SITE!!!
http://schools.parkhill.k12.mo.us/Congress/Team7A/Module%203%20Activities%20by%20Mr.%20Kalis.htm
**********************************************
AND NOW FOR SOMETHING COMPLETELY DIFFERENT
For a cool visual understanding of big numbers, pay a visit to The MegaPenny Project's website: http://www.kokogiak.com/megapenny/
Link to Games that Teach - http://www.maththatcounts.com/page5.html
No comments:
Post a Comment