By: Scott Bowers. Definition: Algebra tiles are known as mathematical manipulatives that allow students to better understand ways of algebraic thinking.

Digital “ABC” BookBy: Scott Bowers

“A” – Algebra Tile Model

Definition: Algebra tiles are known as mathematical manipulatives that allow students to better understand ways of algebraic thinking and the concepts of algebra.

What I know: An Algebra Tile Model is an easy way to model an algebra equation. They help you with the matching part of algebra equations and are a very good visualization tool.

“B” – BEDMAS

Definition: The rules of which calculation comes first in an expression.

What I Know: BEDMAS or Order of Operations explains which operations happen when in an equation. This year learned more about how brackets and exponents work.

“C” –Cross Multiply and Divide

Definition: To cross-multiply is to simplify the equation or determine the value of a variable.

What I Know: Cross multiplying is an easy and efficient way to simplify ratios and to help solve the variable in ratio.

“D” – Distributing Law

Definition: The Distributive Law says that multiplying a number by a group of numbers added together is the same as doing each multiplication separately.

What I Know: The Distributive law is a law that explains how to multiply a number into a group of numbers. E.g.. Brackets

“E” - Exponents

Definition: The exponent of a number says how many times to use that number in a multiplication.

What I Know: Exponents are used on numbers to show the multiplication of one number over and over again in a shortened form.

“F” – Fractions Definition: Part of a whole. The bottom number says how many parts the whole is divided into. The top number says how many you have.

What I Know: Fractions are one effective way to show many different types of numbers or even a equation. E.g.. Ratios, Whole Numbers, Division.

“G” – >,<,=,≥,≤

Definition: As well as the familiar equals sign (=) it is also very useful to show if something is not equal to (≠) greater than (>) or less than (<)

What I Know: The signs>, <, ≥, ≤ are all used in to solve inequalities statements. The inequality statements are solve similar to linear equation statements.

“H” – Hypotenuse

Definition: The side opposite the right angle in a right-angled triangle.

What I Know: The hypotenuse is the longest side on a right triangle. This is important to know because hypotenuse is always C in Pythagorean Theorem.

“I” – Integers Definition: Integers are like whole numbers, but they also include negative numbers ... but still no fractions allowed!

What I Know: Integers are any whole number that can be positive or negative. Integers are easily represented on a number line. Integers are also used in polynomials, linear equations and inequalities.

“J” – Adjacent Angles

Definition: Two angles are Adjacent if they have a common side and a common vertex (corner point), and don't overlap.

What I Know: Adjacent Angles are angles usually inside a isosceles triangle. You know angles are adjacent if the sides are also equal.

“K” – Common Denominator

Definition: "Common" Denominator just means that the denominatorsin two (or more) fractions are common, or the same.

What I Know: Finding a common denominator is the easiest way to add and subtract fractions. A common denominator can be found between two numbers by multiplying the denominators together.

“L” – Linear Equations

Definition: An equation that makes a straight line when it is graphed.

What I Know: A linear equation is a way to show a linear relation. You solve a linear equation similarly to how you solve an inequality.

“M” – Monomial

Definition: A polynomial with just one term.

What I Know: A monomial is a polynomial that is made up of term or number. If you add, subtract, multiply or divide multiple monomials your answer will always be a monomial.

“N” – Numerator

Definition: The top number in a fraction.

What I Know: The numerator of a fraction is the top number of fraction. When you are adding or subtracting fractions, you just add or subtract the numerators if there are common denominators. If you are multiplying you just multiply and if you are diving your second numerator flips and becomes your second denominator.

“O” – Order of Rotation

Definition: With Rotational Symmetry, the image is rotated (around a central point) so that it appears 2 or more times. How many times it appears is called the Order.

What I Know: The order of rotation is how many times one picture can turn and look the same before getting back to it’s original position.

“P” – Pythagorean Theorem

Definition: In a right angled triangle the square of the long side is equal to the sum of the squares of the other two sides.

What I Know: Pythagorean Theorem is the formula you use to figure out a side of a right triangle. Depending on which side you are trying to get, the formula is written like A²+B²=C² or C²-B²=A²

“Q” – QuotientDefinition: The answer after you divide one number by another. Dividend ÷ Divisor = Quotient.

What I Know: A quotient is the answer to any division operation. A quotient can be represented in many different forms, it just has to be the answer to a division question.

“R” - RadiusDefinition: The distance from the center to the edge of a circle. It is half of the circle's diameter.

What I Know: The radius of a circle is half the diameter of a circle. Any line that starts at the center of the circle and goes directly to the edge of the circle is a radius. The radius is usually C in Pythagorean Theorem.

“S” – Surface AreaDefinition: The total area of the surface of a three-dimensional object.

What I Know: Surface Area is the total amount of space or area that a 3-D Shape would take up if it was laid out flat. To get SA for a rectangular shape you add up the side amounts, to get SA for a circular shape you have to use the formula 2pi r²

“T” - TangentDefinition: A line that just touches a curve at one point, without cutting across it.

What I Know: A tangent is a straight line that touches the outside of a circle at one point without going through the circle.

“U” – Unlike Terms Definition: two or more terms that are not like terms.

What I Know: When solving a polynomial question, one of the steps is to simplify by matching. When you are doing this you are matching the terms that are the same. When the terms are different they are called Unlike Terms.

“V” – Variable Definition: A symbol for a number we don't know yet.

What I Know: Variables are used to represent an unknown number. They are the focus of linear equations question and inequality questions.

“W” – Whole NumberDefinition: There is no fractional or decimal part. And no negatives.

What I Know: A whole number is any number that on a circle graph fill up the whole circle. Whole Numbers can not be a fraction, decimal or percent.

“X” – X-axisDefinition: The line on a graph that runs horizontally (left-right) through zero.

What I Know: The X-axis is the axis on a grid that is horizontal.

“Y” – Y-axisDefinition: The line on a graph that runs vertically (up-down) through zero.

What I Know: The Y-axis is the axis on a grid that is vertical.

“Z” – Zero Pairs Definition: A zero pair is when one pairs a positive counter and a negative counter.

What I Know: Using zero pairs is an easy way to simplify a linear equation or inequality question. A zero pair is when you have a positive number and it’s negative opposite. When you have this they make zero son you can just remove them from the equation.

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