1.

Axioms and fundamentals 2.

Number properties positive and megative numbers

adding

substracting

properties of odd and even numbers

rules for odd and even numbers

multiplying and dividing positive and negative numbers

prime numbers

pemdas

3.

Multiples and factors multiples

rules about divisibility

factors

prime factorization

remainders

4.

Fractions reducing fractions

comparing fractions with the same denominator

comparing fractions with the same numerator

adding and substracting fractions

converting fractions

proportions

reciprocals

multiplying and dividing fractions

5.

Decimals converting decimals to fractions

adding, substracting, multiplying, and dividing decimals

common percent , decimal and fractional equivalents

comparing decimals

6.

Percents translating English to math in percent problems

converting decimals or fractions to percents

converting percents to decimals or fractions

using the percent formula to solve percent problems

percent increase and decrerase

multi-step percent problems

compound interest

7.

Averages finding the average of a group of numbers

using the average to find the sum

using the average to find the missing numbers

combining averages

median

mode

range and standart deviation

8.

Ratios and rates what are ratios

part, part and part, whole ratios

rates

average rate

9.

Powers and radicals multiplying powers

dividing powers

raising a power to a power

distributing

negative numbers and powers

fractional powers

negative powers

radicals (the square root)

simplifying radicals

rules of operations with radicals

multiplying and dividing radicals

10.

Algebra monomials

adding and substracting monomials

adding and substracting polynomials

simplifying polynomials

multiplying algebraic expressions

the FOIL method

plugging

solving equations

solving for x

algebraic inequalities

solving 'in terms of'

isolate the variable

factoring algebraic expressions

factoring algebraic expressions - FOIL in reverse

factoring the difference of squares

factoring the square of a binomial

simplifying algebraic fractions

simultaneout equations: substitution

simultaneout equations: combining the equations

quadratic equations

time and distance problems

work problems

fubctions

probability problems

permutations and combinations

11.

Lines and angles supplementary angles

right angles

complementary angles

adjacent angles

vertical angles

parallel lines and transversals

12.

Triangles sides and angles of a triangle

perimeter of a triangle

area of a triangle

isosceles triangle

equilateral triangles

right triangles

pythagorean theorem

pythagorean triplets

special right triangles

isosceles right triangles

isosceles right triangles - side ratio

30-60-90 right triangles

30-60-90 right triangles - side ratio

13.

Quadliterals what is a quadliteral

parallelograms

rectangles

squares and other four-sided objects

perimeter

perimeter of a square

area of a rectangle

area of a square

area of a parallelogram

rectangular solids - volume and surface area

cubes

14.

Circles components of a circle

circumference

circumference example

arc length

area of a circle

area of a sector

cylinders

15.

Coordinate geometry the coordinate plane

plotting points

quadrants

distance between points

distance formula

slope

equation of lines

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