abc math project

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Project for mathh9

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ABC MATH PROJECT

By Noah Mcvicker

ANGLE OF ROTATIONSymmetry & SA

Angle of rotation is the shortest angle, a shape can be turned around the centre of the shape. For example you can turn a rectangle four

times so you divide 360 degrees by 4 to get 90 as your answer.

BEDMAS

Brackets Exponents Division Multiplication Adding Subtracting

You use bedmas for solving any equations that include polynomials and rational numbers. You must follow these set

of acronyms, where you complete the letters of bedmas from left to right.

Example:

COEFFICIENT It is used as the first number in the equation, but is a number

used to multiply the variable. The picture below shows an example of an equation including a coefficient.

Polynomials & Exponents

DISTRIBUTIVE PROPERTY You use the numbers on the outside of the brackets to multiply

what is inside of the brackets. Meaning you must use the isolated number to solve your equation before anything else.

Polynomials & Linear Equations

An example of Distributive property: 2(3n + 1)

EXPONENTAn exponent tells how many times you need to multiply the

base to itself. In this case it would be 8 x 8.

Division rule: If the bases are the same you subtract the exponents

Multiplication rule: If the bases are the same you add the exponents

FRACTIONSA fraction is a number below1or not whole. There are many

different versions of fractions such as, mixed fractions, improper fractions, etc. You can also turn fractions into decimals. Fractions

are used in exponents polynomials, and more.

Fractions into numbers

GREATER THANA symbol that indicates which of two numbers have the same or different value. All of the signs and examples of inequality

below.

HYPOTENUSE Circle Geometry

A hypotenuse is apart of right triangles which insists of two legs and a hypotenuse. The opposite side of the right angle, also

known as the longest side is the hypotenuse. The hypotenuse gets used in Pythagorean

theorem.

ISOSCELES TRIANGLECircle Geometry

A isosceles triangle is a triangle with two sides that have the same length. Meaning the hypotenuse will have a different

length.

JUSTIFYJustifying is showing the steps and work you did to get to come up with your answer. This is very important to do otherwise nobody will know

how you came up with your answer and your work will be questionable.

All units!!!

KILOMETREA kilometre is a unit of measurement in the metric system.

Kilometres can be squared and it is used in many units.

ST Symbol: Km

LINE SYMMETRYIf you can reflect a figure (like a mirror) or fold it so both side match, then the image has "line symmetry". Here are examples

of shapes with multiple lines of symmetry.

Symmetry & SA

MONOMIAL A monomial is one polynomial in a term in an equation.

Different examples of a monomial are things like a simple number, a variable or an expression.

Polynomials

NUMBER LINEA number line is an organized line where numbers are placed from least to greatest. These were used to order

rational numbers and integers.

ORDER OF OPERATIONS The order of operations refers to "BEDMAS" and starting

from "B" and ending right at "S". These orders are used when you're solving an equation of a polynomial.

PYTHAGOREAN THEOREM

A² + B²= C²

Pythagoreans theorem is a formula that allows you to find sides of right angle triangles.If you figure out two sides of a right triangle, you

can find the third.

QUADRANTSSymmetry & SA

The graph in the picture gets divided into four different equal sectors. The graph is divided up into X, Y, -X, -Y

RADIUSCircle Geometry

A Radius is a line from the centre of the circle to the perimeter. It is half of the diameter of the circle.

It is used to find a right angle with a tangent.

Also a radius is used in many formulas to find areas, for example:

Pi x r2 x h

SCALE FACTORSimilarity / Scales

A number that is used to multiply all dimensions so the object either gets bigger or smaller.

Image measurement Actual measurement

If the scale factor gets decreased in the new image than it is a reduction.

If the scale factor gets increased in the new image than it is called an Enlargement

TANGENT LINESCircle geometry

A line that touches the circumference on the circle. The tangent line gives you a right angle with the radius, when it is

perpendicular.

UNLIKE TERMSPolynomials & Inequalities

In terms, if there are any with different variables, or exponents it makes it an "unlike term". If it has a different coefficient it is not considered an unlike term. If you have unlike terms you cannot

subtract or add them.

VARIABLES A variable is a letter or symbol which has an unknown quantity. A Variable will replace an

unknown number.

Linear relations & polynomials

WHOLE NUMBERSA number that is not a fraction or decimal (rational numbers). Negatives are also not whole numbers,

because negatives are "wholes".

X AXISThe x axis is the horizontal line on a graph or chart that crosses through the middle. It is used as a tool to find

coordinates. You use the x axis to locate the coordinate before the y axis.

Y AXISThe y axis is the vertical line on a graph or charts that crosses through the centre. When you find coordinates the y axis is

found after the x axis.

ZERO PAIRSRational Numbers & Inequalities

They are a pair of numbers with a positive and negative which equal to zero. Zero pairs is a helpful method used to cancel out

numbers and terms.

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