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Math Rules - Spelling Rules
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Math Definitions or Examples |
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Devisor: |
The number we are dividing by (outside of the box). |
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Dividend: |
The number that’s being divided (inside of the box). |
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Prime number: |
A whole number that can be divided only by 1 or itself and get a
quotient that is a whole number. (i.e.
2,3,5,7,11,13,17,19,23,29…) |
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Composite number: |
The opposite of prime numbers. It can be divided by multiple
numbers. |
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Factor: |
Noun. One of two or more numbers that are to be multiplied. |
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Prime Factors: (Number or Factor Tree) |
2•2•2•3=24
or 3•3•3=27 |
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Numerator: |
The top number of a fraction. |
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Denominator: |
The bottom number of a fraction. |
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Quotient: |
The answer when you divide. |
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Sum: |
The answer when you add. |
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Product: |
The answer when you multiply. |
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Difference: |
The answer when you subtract. |
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Polygon: |
An enclosed area made of strait lines. |
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Polygon names: |
3 sides= triangle; 4 sides= quadrilateral; 5 sides= pentagon; 6
sides= hexagon; 8 sides= octagon. |
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Multiple: |
All the number’s that will multiply into a given number. I.e.
(12) 1,2,3,4,6,12 |
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Least common multiple: |
The smallest multiple that is common to two or more numbers. |
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Ratio: |
The relationship between two or more numbers. 6 boys and 3 girls
= 6 to 3 or 6/3 reduced to 2=1 |
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Improper Fractions: |
When the numerator is equal to or larger than the denominator. |
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Square Root: |
√25 = 5; √64 = 8; √9 = 3 |
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Exponent: |
The
upper number in a mathematical exponential expression. (i.e. In
the expression 23, 2 is the base and 3 is the
exponent. 23=
2•2•2=8) |
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Circumference: |
Outside perimeter of a circle. |
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Diameter: |
Distance across a circle. |
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Radius: |
The distance from the center of a circle to the outside of the
circle. |
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Angles:
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Right angle =90˚; Acute angle = smaller than 90˚; Obtuse =
larger than 90˚. |
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Horizontal: |
Parallel with the
horizon:
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Vertical: |
Vertical to the
horizon:
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Parallel: |
Two
lines side by side (like double L’s) ll or:
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Perpendicular: |
Two lines intersecting at a 90˚ (+). |
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Oblique: |
Two
lines crossing other than a 90˚.
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Algorithms (summarized/defined) |
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Perimeter |
The sum of all sides. |
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Area of a Rectangle |
Width x length. Square foot (Sq.ft.) |
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Area of a Cube |
Width x length x depth. |
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Area of a Triangle |
Width x length ÷ by 2. |
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Circumference of a Circle |
Diameter x π or 2 x radius squared x pi (3.14) π. |
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Division |
First divide, then multiply, then subtract then bring down.
(repeat if necessary) |
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Mean (average): |
The sum of all numbers, divided by the quantity of numbers in
question. The average of the numbers. |
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Median: |
Middle number of a number sequence. |
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Mode: |
The number that appears the most in a number sequence. |
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Range: |
The difference of the largest and the smallest number in a
number sequence. |
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Estimate: |
Round off to the nearest place value. |
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Find a % of a number: |
The number times the %. |
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What % of a number: |
Name the fraction, then reduce and convert. |
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Change fraction to decimal: |
Divide the numerator (inside the box) by the denominator
(outside the box). |
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Change decimal to fraction: |
The number over it place value then reduce. |
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Change decimals to %: |
Multiply by 100 (shift decimal two spaces to the right). |
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Change a % to a decimal: |
Divide by 100 (shift decimal two spaces to the left). |
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Change % to fraction: |
Place the number over 100 and reduce. |
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Add tax or Tithe: |
Amount times the %. |
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Fraction Algorithms |
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Add Fractions: |
Start with a common denominator then add numerators only, then
reduce and convert. |
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Subtract: |
Star with common denominator, then subtract numerators only,
then reduce and convert. |
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+/- Mixed numbers: |
Convert to a fraction, by multiplying the whole number by the
denominator, then add numerator. |
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Multiply: |
Multiply numerators; multiply denominator, then reduce and
convert. |
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Division: |
Invert the divisor (second number), then multiply numerators and
denominators then reduce and convert. |
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x/÷ mixed numbers: |
+/- fractions then +/- whole numbers reduce and convert. |
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Decimals
Algorithms |
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Add: |
Line up decimals then add. |
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Subtract: |
Line up decimals then subtract. |
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Multiply: |
DO NOT line up decimals, multiply then count the digits to the
right of the decimal of the equation. |
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Division: |
Make the divisor a whole number by moving the decimal to the
right. Move the decimal in the dividend left the same amount.
(Move the decimal in the dividend to the right the same number
of spaces). |
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SPELLING RULES
SPELLING PLURAL NOUNS
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Most words add s to
the root forms without any change (car - cars).
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Words ending in sh, ch, ss,
x, and z, usually add es to form the PLURAL (rush -
rushes).
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Words ending in a consonant
and y change the y to i and add es (disability -
disabilities).
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Some words ending in f
change the f to v and add es (half - halves).
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Some singular words have
different words for their plural form (man - men; mouse
- mice; goose-geese).
SUFFIXES
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A letter or a syllable
placed after a word to form a new word is called a
suffix. Some suffixes are s, es, ed, ing, er, est, ly,
ful, able, ible, ment, ive, ance, ence, ion, tion, ition,
ation, sion, ous, ious, less, and al. Sometimes a word
will have two suffixes. For example, respectfully has
the two suffixes ful and ly added to the root word
respect.
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Many words are formed by
adding ed and ing without any change (finish - furnished
- furnishing).
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Words ending in a silent e
drop the e before adding ed and ing (move - moved -
moving).
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Words ending in a consonant
and y change the y to i before adding ed, but do not
make any change before adding ing (deny - denied -
denying).
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Words ending in a vowel and
y add ed and ing without making any other change (delay
- delayed - delaying).
PREFIXES
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A syllable placed before a
word to change its meaning is called a prefix. Some
prefixes are im, un, in, co, dis, inter.
DOUBLING THE FINAL CONSONANT
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Words of one syllable ending
in a single consonant preceded by a single vowel double
the final consonant before adding ed and ing (run -
runner - running).
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Words of two or more
syllables double the final consonant before adding ed
and ing when these conditions are met: the last syllable
ends in a single consonant preceded by a single vowel,
and the accent is on the last syllable (prefer -
preferred - preferring).
POSSESSIVE FORMS
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Singular nouns form the
possessive by adding an apostrophe and s (pilot -
pilot's).
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Plural nouns that end in s
add only an apostrophe to form the possessive (aviators
- aviators').
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Plural nouns that do not end
in s add the apostrophe and s to form the possessive
(men - men's).
CONTRACTIONS
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A word or phrase that has
been shortened by leaving out some of the letters is
called a contraction.
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An apostrophe is used to
show that the letters have been omitted (won't - will
not), (o'clock - of the clock).
CAPITALS
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The beginning of a sentence
is always capitalized (The day was bright and sunny.).
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The names of holidays are
capitalized (Christmas, Valentine's Day).
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The names of the months of
the year and the days of the week are capitalized
(January, Monday).
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The names of countries are
capitalized (United States, Great Britain).
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When you write the name of a
particular avenue or street, capitalize the words
avenue and street (Fifth Avenue, Sandy
Street).
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The abbreviations Mr., Mrs.
and Ms. are always capitalized and followed by a period
(Mr. Callahan, Mrs. Taft, Ms. Smith).
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The names of deities are
capitalized (God, Allah, Buddha, Saviour).
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The word republican is
capitalized when it refers to the Republican party (The
Republicans won the election.).
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When words like senator and
general are used as titles with a person's name, they
are capitalized (General Carson distinguished himself in
battle.).
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We capitalize the words
capitol, senate, building, supreme and court when
referring to the Capitol Building, the Senate, the
Supreme Court of Canada.
LETTERS AND SYLLABLES
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The vowels are a, e, i, o,
u, and sometimes y and w. The other letters are
consonants.
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Two vowels written together
often have the sound of a single vowel. (In brain the ai
has the sound of a. In eagle the ea has the sound of a
long e, but in bread it has the sound of short e. This
rule will help you with the ei and ie words: i comes
before e except after c or when sounded like a, as in
neighbor and weigh.
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A syllable is a word or part
of a word which has one vowel sound and is spoken as a
unit. (boy is a one-syllable word; chil-dren is a
two-syllable word; or-na-ment is a three syllable word.
In every word of two or more syllables one syllable is
given more emphasis than the other. This extra emphasis
is called accent, and is shown in the dictionary by an
accent mark ( '
)
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(In
meet'
ing the first syllable is accented.) Most words
have only one accented syllable, but some have more than
one (in' for ma'
tion). The accent that is the heavier is called the
primary accent. The other accent is called the secondary
accent.
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In your dictionary each word
is re-spelled according to its pronunciation. The vowels
are marked according to their sounds, and the accented
syllables are shown. The marks for the vowel sounds are
called diacritical marks. These marks vary from
dictionary to dictionary. Please consult the beginning
of your own dictionary for the explanation of
diacritical marks used in that particular publication.
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The two words at the top of
each dictionary page are called guide words. The guide
words are the first and last words on that particular
page.
SPECIAL WORDS
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Compound Words
are made by writing two small words together to make one
larger word. (somewhere, clubhouse)
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A root word is the
root, or beginning word, from which another word is
made. Play is the root word of plays, played and
playing.
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Derived words
are words that come from other words. Suitable is
derived from suit; advertisement from advertise.
Sometimes the spelling of the root word is
slightly changed in the derived word.
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A synonym is a word
having almost the same meaning as another word. (replied
- answered; accurate - exact)
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An antonym is a word
that is opposite in meaning to another word. (private
-public; good - bad)
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Homonyms
are words that are pronounced alike but which are
spelled in different ways and have different meanings
(knew - new; steel - steal; deer - dear)
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