A to Z Math ProjectCleo PittBlock BGr. 9

Algebra• Algebra is when variables are used to represent numbers and

quantities in formulas and equations. Algebra connects to the other sections we have learnt because in geometry you're trying to find missing angles or sides using variables to replace them. Another subject it relates to is Pythagorean theorem, as its formula is a^2+b^2=c^2 which contains variables.

• Ex. 9x = 81 x = 9A variable can be any given number in the alphabet.

BFSD also remembered as Best Friends Share Desserts, which represents the real

terms Brackets, Fractions, Solve and Divide.

• BFSD is an acronym that was created to help solve equations. It’s similar to Bedmas but uses different letters for different descriptions. This topic connects to other sections as equations are a big part in math and this term helps you achieve the answer more efficiently.

• Ex. Question- (1x/2) + 1/3 = ¾Brackets- (1x/2) + (1/3) = (3/4) Find a common denominator, which you multiply by the numerator

Fractions- 12x/2 + 12/3 = 36/4 Divide the fractions

Sort- 6x + 4 = 9 Sort where the x’s go

- 4 -4Divide- 6x/6 = 5/6 Divide the simplified answers by the x’s number

x = 5/6 or 0.83

Center of rotation• The center of rotation is when the point of a rotation doesn’t

move, but the rest of the figure rotates around that fixed point. This topic relates to other subjects such as graphing because when graphing you sometimes have to mirror, rotate or flip the figure.

• Ex.

Distributive property• Distributive property is a rule in which states that a (b + c) = ab

+ ac, but with these variables representing numbers. This connects to other sections we’ve learnt, for example it helps to simplify questions to make the solving process easier.

• Ex. 2 (3 + 4) = 2 x(times) 3 + 2 x(times) 4

Exponents • Exponents are the amount representing the power to which a

number will use. It is usually expressed as a raised symbol beside the number, called the base. This connects to other sections we have learnt as exponents can be used in many mathematics, one for example is equations.

• Ex. 2^3 which means 2 x(times) 2 x(times) 2

Fractions• Fractions are used to count part of something, therefore it is

not a whole number. This relates to other sections because they are used in equations and most math subjects.

• Ex. ½, 7/9, 3 1/4

Graphing• Graphing is a type of diagram that shows a relationship

between 2 sets of numbers which go on as a set of points that have coordinates. This relates to other sections as in some cases graphing gives a visual that lets you see something from a different perspective that calculations don’t show.

• Ex.

Hypotenuse• The hypotenuse is the longest side of a right triangle. This

connects towards other sections, for example in Pythagorean theorem the hypotenuse it one of the critical assets, as it is either what is being found or what helps find another side of the triangle.

• Ex.

Inequalities• Inequalities are the relation between two expressions that are

not equal. It relates to other sections we’ve been learning as when doing Pythagorean theorem, and inequalities we see whether both ends of the equation are equivalent or if ones larger or smaller-different.

• Ex.

Just do it• Just do it is a phrase that is applied when you see any sort of

multiplication. This tactic relates towards other sections we’ve been learning such as fractions, where it is the most commonly used; to use this method with fractions you just multiply both numerators and both denominators

• Ex. 1/4 x 2/3 = 2/12

Kilometer • A kilometer is a metric unit of measurement that is equal to

1000 meters. This connects towards other sections we’ve learnt as some word problems with units use it’s abbreviation, which is Km; or some problems need you to convert it’s unit to a different one, due to various units in one question.

• Ex. Kilometer= Km 1km = 0.621 miles 1km = 100 000 centimeters

Linear relations• Linear relations are when you graph the relationship between

2 quantities, therefore meaning the variable either grows or decreases proportionally with the other. This relates to how graphing and knowing your axes are important in math.

• Ex.

Monomial• A monomial is an expression in algebra that has one term.

Therefore meaning it has no additions or subtractions in it’s expression. This connects towards other sections we have learned as when you use polynomials you need to know the types of names that go with the amount of terms.

• Ex. 3xy = monomial (1 term)• 2x + 3y + 2 = trinomial (3 terms)

Numeral coefficient• A numeral coefficient is the numerical part that stands in front

of a variable. To solve a question with a numerical coefficient you multiply it by the variable in front of it. This relates to other sections we’ve been learning as it simplifies and or solves questions.

• Ex.

Order of operation• The order of operation is the use of addition, subtraction,

multiplication and division in a question. When you have multiple operations in a questions you must think of Pedmas to calculate the question. This topic relates to other sections we’ve been learning as in most math equations there are more than one operation leading us to use Pedmas.

• Ex. Pedmas stands for Parentheses, Exponents (also powers and roots), Division and Multiplication which are interchangable but usually calculated from left to right, and Addition and Subtraction which apply to the same steps as Division and Multiplication.

Pythagorean theorem• Pythagorean theorem is a theorem which states that the

square of the hypotenuse is equal to the sum of the squares on the other two sides. For this to work the triangle must have a 90 degree angle. The equation for Pythagorean theorem is a^2+b^2=c^2, c being the hypotenuse. This topic is connected to other sections we’ve learnt as it’s used in geometry to find missing numbers and sides of triangles.

• Ex.

Quadrants • Quadrants are the four sections which are in the x and y plane,

they are divided by the x axe horizontally and the y axe vertically, both passing through the center. This topic connects to other sections we’ve been learning as when you’re graphing you will need to know which quadrant your coordinates go in.

• Ex.

Reciprocal• The reciprocal is the multiplier of a number that gives you the

product of 1. To do this you put your whole number into a fraction, then multiply it by the inverse by switching the denominator and the numerator. This relates to other sections we’ve been learning as it will give you the product of 1 showing you a way to simplify.

• Ex. 3/4 x 4/3 = 12/12 = 1

Surface area• The surface area is the total area of the surface of a three-

dimensional object. There are formulas for each type of shape, which making the calculating quicker and easier. This topic relates to other sections as it can lead to some symmetry.

• Ex. Rectangular Prism : SA = 2 (lw + wh + hl)• Cylinder : SA = 2 rer^2 + 2iiiirh

Tangent• A tangent is when the straight line touches the curve of a

circle at only one point. The radius is always perpendicular to the tangent line. This topic relates to other sections we’ve learnt as it’s used during the geometry unit.

• Ex.

Unit fraction• A unit fraction is a rational number written as a fraction, the

numerator is always 1 and the denominator is a positive integer. This relates to other sections we’ve learnt as when you need to simplify a fraction this could be one of the ways.

• Ex. 3/5 = 1/5 + 1/5 + 1/5 = 3 x(times) 1/5

Vertex • A vertex is a point where two or more straight lines meet, also

simply called a corner. This topic relates towards other sections such as Pythagorean theorem and geometry because they have many vertices.

• Ex.

Whole number• A whole number has no fractions or decimals, but they can

still have positives and negatives. This topic connects to other sections we have been learning since whole numbers are used all throughout math.

• Ex. -10, 17, 324

X coordinate• The x coordinate is the horizontal value in a pair of

coordinates, it shows how far the point is. The x coordinate is always written first in a ordered pair of coordinates, therefore meaning it would go x,y. This topic relates to other sections such as graphing and graph diagrams because you need to know where the coordinates go.

• Ex.

Y coordinate• The y coordinate is the vertical value in a pair of coordinates, it

shows how far up or down the point is. It is always written second in an ordered pair of coordinates, therefore meaning it goes x,y. this relates to what we’ve been learning because when graphing or doing diagrams on a graph you must know where the coordinates go.

• Ex.

Zero pairs• Zero pairs are a pair of numbers whose sum is zero, positive

and negative numbers are used to create zero pairs in equations. This topic relates to other sections we’ve learnt as when you do the solving step in BFSD you find zero pairs to narrow it down.

• Ex. +1, -1 =0 They cancel each other out