Transcript A-Z math project – CASSIDY

A-Z Math Project
CASSIDY FISCHER
BLOCK B
GR. 9
5/6/2015
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 = 36/4
3.
Sort – 6x + 4 = 9
-4 -4

4. Divide – 6x/6 = 5/6
X= 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*6
6 + 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 :
Example 2
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
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>
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 T-chart
 Example with graphing
Multiplying Fractions
To solve the equation;
1.
Multiply numerators
2.
Multiply denominators
3.
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
= 10
2
2
2 2 = 4
3 6
18
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://upload.wikimedia.org/wikipedia/commons/thum
b/5/51/AdditionRules.svg/709px-AdditionRules.svg.png
http://www.bbc.co.uk/ks3bitesize/maths/images/multiplying_dividing_negative_numb
ers.gif
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 given
 Multiply 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 :