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Math Rules - Spelling Rules

Math Definitions or Examples

Devisor:          

The number we are dividing by (outside of the box).

Dividend:

The number that’s being divided (inside of the box).

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…)

Composite number:

The opposite of prime numbers. It can be divided by multiple numbers.

Factor:

Noun. One of two or more numbers that are to be multiplied.

Prime Factors: (Number or Factor Tree)

2223=24 or 333=27

Numerator:

The top number of a fraction.

Denominator:

The bottom number of a fraction.

Quotient:

The answer when you divide.

Sum:

The answer when you add.

Product:  

The answer when you multiply.

Difference:

The answer when you subtract.

Polygon:

An enclosed area made of strait lines.

Polygon names:

3 sides= triangle; 4 sides= quadrilateral; 5 sides= pentagon; 6 sides= hexagon; 8 sides= octagon.

Multiple:

All the number’s that will multiply into a given number. I.e. (12) 1,2,3,4,6,12

Least common multiple: 

The smallest multiple that is common to two or more numbers.

Ratio:

The relationship between two or more numbers. 6 boys and 3 girls = 6 to 3 or 6/3 reduced to 2=1

Improper Fractions:

When the numerator is equal to or larger than the denominator.

Square Root:

√25 = 5;   √64 = 8; √9 = 3

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= 222=8)

 Circumference:

Outside perimeter of a circle.

 Diameter:

Distance across a circle.

Radius:

The distance from the center of a circle to the outside of the circle.

 Angles:          

Right angle =90˚; Acute angle = smaller than 90˚; Obtuse = larger than 90˚.

Horizontal:

Parallel with the horizon:

 Vertical:

Vertical to the horizon:

Parallel:

Two lines side by side (like double L’s) ll or:

 Perpendicular:

Two lines intersecting at a 90˚ (+).

Oblique:

Two lines crossing other than a 90˚.

Algorithms (summarized/defined)

 Perimeter

The sum of all sides.

Area of a Rectangle

Width x length.  Square foot (Sq.ft.)

 Area of a Cube

Width x length x depth.

Area of a Triangle

Width x length ÷ by 2.

 Circumference of a Circle

Diameter x π  or 2 x radius squared x pi (3.14) π.

Division

First divide, then multiply, then subtract then bring down. (repeat if necessary)

 Mean (average):

The sum of all numbers, divided by the quantity of  numbers in question. The average of the numbers.

Median:

Middle number of a number sequence.

 Mode:

The number that appears the most in a number sequence.

Range:

The difference of the largest and the smallest number in a number sequence.

 Estimate:

Round off to the nearest place value.

Find a % of a number:

The number times the %.

 What % of a number:

Name the fraction, then reduce and convert.

Change fraction to decimal:

Divide the numerator (inside the box) by the denominator (outside the box).

 Change decimal to fraction:

The number over it place value then reduce.

Change decimals to %:

Multiply by 100 (shift decimal two spaces to the right).

 Change a % to a decimal:

Divide by 100 (shift decimal two spaces to the left).

Change % to fraction:

Place the number over 100 and reduce.

 Add tax or Tithe:

Amount times the %.

Fraction Algorithms

Add Fractions:

Start with a common denominator then add numerators only, then reduce and convert.

Subtract:

Star with common denominator, then subtract numerators only, then reduce and convert.

+/- Mixed numbers:

Convert to a fraction, by multiplying the whole number by the denominator, then add numerator.

Multiply:

Multiply numerators; multiply denominator, then reduce and convert.

Division:

Invert the divisor (second number), then multiply numerators and denominators then reduce and convert.

x/÷ mixed numbers:

+/- fractions then +/- whole numbers reduce and convert.

Decimals Algorithms

Add:

Line up decimals then add.

Subtract:

Line up decimals then subtract.

Multiply:

DO NOT line up decimals, multiply then count the digits to the right of the decimal of the equation.

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).

 

 


SPELLING RULES

SPELLING PLURAL NOUNS

  1. Most words add s to the root forms without any change (car - cars).
  2. Words ending in sh, ch, ss, x, and z, usually add es to form the PLURAL (rush - rushes).
  3. Words ending in a consonant and y change the y to i and add es (disability - disabilities).
  4. Some words ending in f change the f to v and add es (half - halves).
  5. Some singular words have different words for their plural form (man - men; mouse - mice; goose-geese).

SUFFIXES

  1. 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.
  2. Many words are formed by adding ed and ing without any change (finish - furnished - furnishing).
  3. Words ending in a silent e drop the e before adding ed and ing (move - moved - moving).
  4. 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).
  5. Words ending in a vowel and y add ed and ing without making any other change (delay - delayed - delaying).

PREFIXES

  1. 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

  1. 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).
  2. 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

  1. Singular nouns form the possessive by adding an apostrophe and s (pilot - pilot's).
  2. Plural nouns that end in s add only an apostrophe to form the possessive (aviators - aviators').
  3. Plural nouns that do not end in s add the apostrophe and s to form the possessive (men - men's).

CONTRACTIONS

  1. A word or phrase that has been shortened by leaving out some of the letters is called a contraction.
  2. An apostrophe is used to show that the letters have been omitted (won't - will not), (o'clock - of the clock).

CAPITALS

  1. The beginning of a sentence is always capitalized (The day was bright and sunny.).
  2. The names of holidays are capitalized (Christmas, Valentine's Day).
  3. The names of the months of the year and the days of the week are capitalized (January, Monday).
  4. The names of countries are capitalized (United States, Great Britain).
  5. When you write the name of a particular avenue or street, capitalize the words avenue and street (Fifth Avenue, Sandy Street).
  6. The abbreviations Mr., Mrs. and Ms. are always capitalized and followed by a period (Mr. Callahan, Mrs. Taft, Ms. Smith).
  7. The names of deities are capitalized (God, Allah, Buddha, Saviour).
  8. The word republican is capitalized when it refers to the Republican party (The Republicans won the election.).
  9. When words like senator and general are used as titles with a person's name, they are capitalized (General Carson distinguished himself in battle.).
  10. 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

  1. The vowels are a, e, i, o, u, and sometimes y and w. The other letters are consonants.
  2. 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.
  3. 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 ( ' )
  4. (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.
  5. 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.
  6. 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

  1. Compound Words are made by writing two small words together to make one larger word. (somewhere, clubhouse)
  2. 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.
  3. 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.
  4. A synonym is a word having almost the same meaning as another word. (replied - answered; accurate - exact)
  5. An antonym is a word that is opposite in meaning to another word. (private -public; good - bad)
  6. 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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