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the combination of rational and irrational numbers. In general, all operations can be performed on these numbers and they can be represented on a number line, too.

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a graphic organizer used to organize the many types of real numbers: rational, irrational, integers, whole, and natural

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the set of real numbers that includes all counting numbers starting from 1

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the set of real numbers that includes all natural numbers and zero

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the set of real numbers that includes all whole numbers and natural numbers, and their opposites

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the set of real numbers that includes all integers, whole numbers, natural numbers and any number that can be written as a fraction and/or a decimal

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the value of each digit in a number, based on its position

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a number that consists of a whole and/or a fractional part

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a decimal which has a finite number of digits, that is, it comes to an end and does not go on forever

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a decimal in which after a certain point a particular digit or sequence of digits repeats itself indefinitely

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a number less than zero

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any number greater than zero

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a number that is multiplied by another number

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the total amount from multiplying two or more factors

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the number that is to be divided or distributed into a certain number of equal parts

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any number that divides another number

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the number we obtain when we divide one number by another, also known as the answer

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amount left over after dividing a number

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used to represent smaller pieces (or parts) of a whole

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the number below the line in a common fraction; a divisor. This number cannot be zero

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the part of a fraction that is above the line and signifies the number to be divided by the denominator

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a fraction in which the numerator is greater than the denominator

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a number consisting of an integer and a proper fraction

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the most reduced or simplified representation of a fraction and occurs when the numerator and denominator have no common factors other than 1

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the inverse of a value or a number

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a statement that the values of two mathematical expressios are equal.

This is indicated by the = sign.

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a symbol, typically a letter, that represents a number

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a number placed before and multiplying by the variable in an algebraic expression

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a constant is a number on its own (without a variable)

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the opposite or buddy operation used for solving.

Division and Multiplication

Addition and Subtraction

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finding the sum or difference of fractions by finding the least common denominator so the whole is the same size.

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all negative and positive rules

This also applies to inequalities

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When showing an inequality solution on a number line, the open dot shows that a point is NOT included in the solution.

A closed dot means it IS included.

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the relation between two expressions that are not equal

*indicated by a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”

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is a value or set of values that satisfy an inequality

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Multiplying or Dividing an inequality by a negative

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Multiplying or Dividing an inequality by a negative

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When dividing an inequality by a negative number, you must flip the symbol

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Less than and greater than have OPEN dot because the value is NOT an answer option.

Less than OR equal to AND greater than OR equal to have a closed dot because the value IS an answer option. (Stamp of approval)

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a comparison of two different measurements in which the numerator or denominator has a value of one unit.

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an equation that states two rations are equal

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a ratio that compares two measures

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is a representation of a real object or place that is in proportion to the real object or place it represents

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another way of showing a fraction whose denominator is 100. Percent means part per hundred

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occurs when the new amount is less than the original amounts. Is is a ratio of the amount of decrease to the original amount.

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occurs when the new amount is greater than the original amount. It is a ratio of the amount of increase to the original amount.

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figures that have the same size and shape

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sides in the same position in figures

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angles in the same position in figures

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When you multiply a measure by a scale to produce a reduced or enlarged measure, the scale is called the scale factor.

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Figures that are proportional in size, or have the same proportional dimensions, are called similar figures.

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Properties of Similar Figures Anchor Chart

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Properties of Similar Figures Anchor Chart

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the point on a graph where a line crosses or touches the y-axis.

This is the b value in y=mx+b

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an equation of a straight line

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a number representing the steepness and direction of a straight line, defined as the "rise over run" or the ration of the vertical change

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An equation that represents a straight line on a graph. Variables don’t have exponents and are not multiplied with another variable

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rate is constant when the ratio of the output to the input stays the same at any given point on the function.

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Money added to the cost of some goods, services, and transactions.

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is calculated by finding a percent of the principal (original) amount and multiplying by the time period of the investment. The final value of an investment can then be found by adding/subtracting the simple interest to the principal amount.

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Denoting an original sum invested or lent

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Refers to an interest rate that is calculated only on the original principal amount borrowed

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the Time the money is Invested,

or Borrowed, in Years.

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a straight line form the center to the boundary line.

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a straight line passing from side to side through the center of a circle.

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the distance around a circle calculated by multiplying the diameter by pi.

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the ratio of the circumference of a circle to its diameter, approximately 3.14159

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Number of square units that cover the inside of a circle.

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the area of combined shapes of one or more simply polygons and circles.

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a shape made up of two or more basic shapes, such as triangles, rectangles, or circles

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the process of breaking a composite figure into simpler, more basic shapes so you can calculate its area

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1/2 circle:

Area can be calculated 2 ways:

Area = (3.14 x r x r) DIVIDED by 2

Area = 1/2 x pi x r x r

Circumference:

C= pi x r

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how many square units of space are INSIDE the shape

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the DISTANCE AROUND an object or shape

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Lateral surface area (LSA) is the area of only the side faces, EXCLUDING the top and bottom bases.

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the faces of a three-dimensional figure that are NOT bases (ex: the sides of a prism or pyramid).

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Total surface area (TSA) is the sum of the areas of all surfaces of a 3D object, including its bases.

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the top and bottom faces of a 3D figure (ex: the squares of a square prism or the triangles of a triangular prism)

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is the 2D shape you get by unfolding a 3D object, showing all of its faces laid out flat.

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the amount of space inside a prism, found by multiplying the area of the base (B) by the height (h) of the prism.

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the amount of space inside the pyramid, found by multiplying the area of the base (B) by the height (h) and then dividing by 3.

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the extent to which something is probable; the likelihood of something happening or being the case