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TEACHER: Mr. Landry ROOM NUMBER: 111
landrg@portlandschools.org
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PRIME NUMBERS
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A Prime Number is a whole number, greater than 1, that can be divided only by 1 or itself producing a remainder of 0.
The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17,... etc.
ex. 1) 2 is prime since it is divisible by 1 and itself and produces a remainder of 0.
| 2 / 1 = 2 Remainder 0 |
and |
2 / 2 = 1 Remainder 0 |
ex. 2) 17 is prime since it is divisible by 1 and itself and produces a remainder of 0.
| 17 / 1 = 17 Remainder 0 |
and |
17 / 17 = 1 Remainder 0 |
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FACTORS
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"Factors" are the numbers you multiply together to get another number:
example 1) 3 and 2 are factors of 6 because they are numbers when multiplied produce 6.
example 2) 9 and 4 are factors of 36 because they are numbers when multiplied produce 36.
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PRIME FACTORIZATION
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"Prime Factorization" is rewriting a number as a product of ALL prime numbers.
example 1) 12 = 2 × 2 × 3 = 22 × 3 and 12 has been rewritten as a product of ALL prime numbers.
example 2) 27 = 3 × 3 × 3 = 33 and 27 has been rewritten as a product of ALL prime numbers.
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THE PRIME NUMBER GENERATOR
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Below is a module that will give you a number of results based on the number or numbers entered. Read the options below the module.
EXPLANATION OF THE OPTIONS
FACTORIZE: This option gives you all the prime numbers of one or more number.
SIEVE: This option, the Sieve of Eratosthenes, is a simple, ancient algorithm for finding all prime numbers up to a specified integer.
IS PERFECT?: This option tells you whether the positive integer is perfect which means all the primes of the number, excluding itself, that will sum to the number entered.
ex. 1) 6 has the prime factors of 3, 2 and 1. Note that I have excluded 6. Since 6 = 3 + 2 + 1, 6 is considered "perfect."
PRIMES BEFORE: This option tells you how many prime numbers there are before the number that you have entered.
IS PRIME?: This options tells you whether the number entered is prime or not.
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THE FACTOR PAIR GENERATOR
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The module below will produce EVERY factor pair, i.e. a pair of factors, of the number entered.
For example if you enter in 12 you will get
factor pair = 12,1
factor pair = 6,2
factor pair = 4,3 |
Have a go at it below!
Thanks to Jeff LeMieux for developing this algorith in javascript
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ALGEBRA 1 PART 2 CURRICULUM
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- Represent Linear Functions Through 4 Methods: Verbal, Table, Graph and Algebra
- Graph 2-Variable First Degree Equation
- Understanding of Slope and Slope Formula and The Average Rate of Change
- Find the Intersection of Two Lines Graphically(Systems of Equations Technique 1)
- Relationship Between Lines and Slopes
...Parallel Lines
...Perpendicular Lines
...Intercepts
- Direct and Inverse Variation
- Write Equation Of Line Using Standard Form: ax + by + c = 0; Slope Intercept Form: y = mx + b; Point Slope Form: y - y1 = m(x - x1) when given
...slope and y-intercept
...two points
...one point and a slope
...from a graph
...y-intercept and another point
...x and y intercept
- Solve And Graph Any Linear Equation Or Inequality Including Those With:
...decimal and fraction coefficients
...algebraic fraction
...distributive property
...combining like terms
...variable on both sides
- Find The Intersection Of Two Lines Algebraically (System Of Equations Technique 2)
- POLYNOMIALS
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Graphing Equations Using Graphing Calculators
...Distance Formula Between Two Points
...Solve Equations For A Specific Variable
...Understand Concepts Of Perimeter and Area Using Polynomials
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EXTRAS
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... 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 : PART 5
more to come
GEOGEBRA EXERCISES: ADDING LIKE TERMS
- ADDING LIKE TERMS 1
- ADDING LIKE TERMS 2
- ADDING LIKE TERMS 3
GEOGEBRA EXERCISES: EVALUATE AN ALGEBRAIC EXPRESSION
- EVALUATE ALGEBRAIC EXPRESSION 1
- EVALUATE ALGEBRAIC EXPRESSION 2
- EVALUATE ALGEBRAIC EXPRESSION 3
...GEOGEBRA EXERCISE: SLOPE OF A LINE
...GEOGEGRA EXERCISE: BEST FIT LINE
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TI 83/84
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- BASIC GRAPHING - PART 1 : more to come
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INTERACTIVE MATH AT DEERING
MATH
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- GeoGebra : Full Online Version at Deering Math. Does All That Geometer's Sketchpad Does But Free
- Data Charting Program at Deering Math : In development by Mr. Landry and others
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STATISTICAL DATA
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- GEOHIVE : A site with geopolitical data, statistics on the human population, Earth and more.
- 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.
- DATAFINDER : A database with hundreds of variables for the US and the world.
- ENERGY INFORMATION ADMINISTRATION: Official energy statistics from the US government. .
- ECONSTATS : Economic Statistics, Financial Statistics, Money supply, and GDP
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ONLINE READING AT DEERING MATH
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- WHY YOU NEED MATHEMATICS
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