CASSIDY FISCHERBLOCK B

GR. 95 /6 /2015

A-Z Math Project

Acute Angles

Acute Angles; Any angle no more than 90 degrees no less

than 0 degrees. (0-90) Examples :

BFSD

BFSD; “Best Friends Share Desert”,In math terms : Brackets, Fractions, Sort, Divide.It is similar to BEDMAS, but has different letters with different

meanings. Example: (1x/2) + 1/3 = ¾ 1. Brackets - (1x/2)+ (1/3) = (3/4)2. Fractions – 12x/2 + 12/3 = 36/43. Sort – 6x + 4 = 9 -4 -4

4. Divide – 6x/6 = 5/6X= 5/6

There is also always the option to check your answer with replacing the variable (x) with the answer you have found.

Calculating Surface Area

There are several different formulas for different shapes including the following:

rectangle/square SA = 2 (l * w + w * h + h* l) Prisme SA = 2(3.14)r2 r2 (3.14)rh

Stack SA = SA Prisme + SA cylinder -2 (missing sides 3.14r2)

Hole SA = SA Prisme + 2(3.14)r2 + 2(3.14)rh

Triangles SA = A= b*h/2

http://www.mathvillage.info/node/116

Distributive Law

When there is Brackets in an equation ( which you look for first in BFSD), you distribute the coefficient to the equation in brackets.

Example: 2(3*6)2*3 + 2*66 + 12 = 18

Exponents

Exponents are an amount the base of a number will be repetitively multiplied. This is the basics of exponents, that lead onto dividing powers (with exponents) and calculating area.

Example : 6^4 Also means = 6*6*6*6

Finding Missing Angles

To find missing angles, you must find clues. Example 1 :

A straight line will always be 180 degrees, and the clue given is 79 degrees, so you subtract 79 from 180 and there is your answer for the missing angle! So angle DCB = 101 degrees

A triangle will always equal to 180 degrees as well and there are two clues given, which you both subtract from 360. So the answer would be

Example 2

Geometry within Circles

Geometry in circles is used to find the variables in angles area and sides within a circle.

This includes find the difference of angle in inscribed and central angles.

To find the variable to and inscribed or central angle, you must remember that central angles are always 2x larger than its inscribed angle.

This relates to Surface area, as there are many equations with circles in that unit, with similar equations.

Hypotenuse

A hypotenuse, is generally the opposite side of the largest angle of a triangle. Which means it is always the longest side of a triangle as well. This connects to many different math sections including exponents and the Pythagorean Theorem.

Example :

Inequalities

Inequalities are a symbol found between two numbers, fractions, decimals, etc. That are expressing the difference in the numbers’ relationship. The symbols display whether one or the other number or equation is larger, smaller or equal to the other. This unit also relates to exponents.

Examples:

4<8 5>1 4=6 5<5 7>3

Just Do It theory

“Just Do It” is applied to any type of multiplication. It is related to most multiplication equations including ones with exponents and fractions.

Kilometer

It is a metric unit of length that is equal to 1000 meters. This relates to many word questions in our homework which we converted into miles, centimeters, inches, etc.

Linear Relations

Linear relations are used on a graph paper and added to a T-chart, to view the pattern of numbers. Whether its subtracting, multiplying or diving, there is a pattern. This relates to graphing and scale factors, as a scale factor is the main idea of linear relations. With that scale factor, it forms a pattern.

Example with graphing

Example with T-chart

Multiplying Fractions

To solve the equation;1. Multiply numerators2. Multiply denominators3. Simplify if needed.Multiplying fractions with whole numbers is as simple, but

there is a very little difference. When there is a whole number, it’s not in the same unit as a fraction. So you can convert any whole number into a fraction by placing it over a 1. This connects to the “just Do It” rule, as you don't need to move around any of the numbers, you just do it, and multiply the equation.

Example 1 : Example 2 : 5 2 = 103 6 18

2 2 2 2 = 4

5 1 5 5

Negative to Positive and vise-versa

A negative being converted into a positive and a positive being converted into a negative, is very common. This relates to every aspect in all our math units, as negative or positive, makes a huge difference to the answer when you solve an equation. Many numbers get “flipped” into their opposite when these doubles occur:

Or in multiplication:

http://www.bbc.co.uk/ks3bitesize/maths/images/multiplying_dividing_negative_numbers.gif

http://upload.wikimedia.org/wikipedia/commons/thumb/5/51/AdditionRules.svg/709px-AdditionRules.svg.png

Order of Operation

PEDMAS is the main order of operation every should think of when solving an equation with multiple operations including addition, subtraction, multiplication and division.

PEDMAS translates for Parentheses, Exponents, Division, Multiplication, Addition and Subtraction.

Pythagorean theorem

This theorem is also known as a2 + b2 = c2 allows you to find the length of a side of a right triangle (a triangle with 90 degrees) when you’re given the length of the other two sides. This unit connects to square roots, geometry and finding clues with missing numbers and variables.

First, fill in the lengths of the sides givenMultiply it by itself (hence the exponent of two) Add both terms together and find its square root.

Quadrilateral

A quadrilateral is a polygon with 4 sides/corners. All of its interior angles always add up to 360 degrees. This shape is in several units we have done, including polynomials , finding Surface area, and finding the missing angles and lengths of the following:

Radius

A radius is half of a diameter of a circle (which is a line/chord from an edge of the circle, passing through the middle dividing the circle into two). This term is mainly in circle geometry, but is also found in several formulas within algebra along with exponents. This term is only used on circles.

Scale Factor

A scale factor is the number you use to multiply in scaling. Scale factors are usually used in size transformation, scale drawing and comparing similar geometric figures. It relates to graphing and using T-charts for data analysis.

Examples :

Trinomials

A trinomial is a polynomial with 3 terms. It connects to polynomials of course and the exponent unit as almost all of the equations given have an exponent lying within.

Unit of Fraction

Unit Fractions are actually ration numbers but just written as a fraction. The numerator of these fractions are always 1, with a positive interger.

This connects to other subjects, as when you need like terms, you can convert different numbers into unit fractions for simplifying.

Variable

A variable is an unknown length, angle or simply a part of an equation that is unknown which you must isolate, use clues and verify to receive your best answer. This term is technically used in every aspect of math. To find the value of the variable (to solve the equation) .

Whole Number

A whole number, is a number that does not contain any fractions or decimals. These numbers are still capable of being positive or negative. Whole numbers have been used throughout all our math units as well.

Examples : -2, 26, 87, 296

X-Axis

The X-axis on a graph is located horizontally in the center splitting the graph in half. This relates to graphing with graph diagrams as it is located on a graph paper.

Y-Axis

The Y-axis on a graph is located vertically on a graph splitting the graph in half as well. It is related to graphing on graph diagrams just alike the X-axis.

Zero-Pairs

Zero Pairs are used in many linear equations and inequalities. They are used to isolate the variable and find the variables value.

While using zero pairs, you must be sure to add as many positive or negatives you need to isolate the variable on one side, as you do to the other side. Whatever you do to one side, must be done to the other to receive the correct answer. At times, there will already be zero pairs on one side of the equation which makes it convenient to cross out. Examples :