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An algorithm is a specific set of instructions for carrying out a procedure or solving a problem, usually with the requirement that the procedure terminate at some point. |
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The way in which three or more numbers are grouped for addition or multiplication does not change their sum or product, respectively [e.g., (5 + 6) + 9 = 5 + (6 + 9) or (2 x 3) x 8 = 2 x (3 x 8)]. |
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A quality or characteristic, such as color, thickness, size, and shape. |
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The amount of space that can be filled in a container. Both capacity and volume are used to measure three-dimensional spaces. |
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A closed plane figure with all points of the figure the same distance from the center. |
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A closed plane figure with all points of the figure the same distance from the center. The equation for a circle with center (h, k) and radius r is: (x - h)2 + (y - k)2 = r2 |
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The order in which two numbers are added or multiplied does not change their sum or product, respectively (e.g., 2 + 3 = 3 + 2, or 4 × 7 = 7 × 4). |
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To form by putting together (e.g., a geometric figure or a number). |
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Comprehension of mathematical concepts, operations, and relations. Students with conceptual understanding know why a mathematical idea is important, connect mathematical topics with each other and with other subject areas, and recognize the contexts in which a mathematical idea is useful. |
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Figures or objects that are the same shape and size. |
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Solid figure with six congruent, square faces |
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To separate into parts or elements (e.g., geometric figures or numbers). |
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A number that is the result of subtraction |
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A symbol used to name a number. There are ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. In the number 49, 4 and 9 are digits. |
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A special point used to construct and define a conic section. |
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The branch of mathematics that explores the position, size, and shape of figures. |
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An action that undoes a previously applied action. For example, subtraction is the inverse operation of addition. |
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A triangle with at least two congruent sides and two congruent angles. An equilateral triangle is a special case of an isosceles triangle having not just two, but all three sides and angles equal. |
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A one-dimensional measure that is the measurable property of line segments. |
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The amount of a quantity. Magnitude is never negative. |
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There are several statistical quantities called means, e.g., harmonic mean, arithmetic mean, and geometric mean. However, “mean” commonly refers to the arithmetic mean that is also called arithmetic average. Arithmetic mean is a mathematical representation of the typical value of a series of numbers, computed as the sum of all the numbers in the series divided by the count of all numbers in the series. Arithmetic mean is the balance point if the numbers are considered as weights on a beam. |
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To represent a mathematical situation with manipulatives (objects), pictures, numbers or symbols. |
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The numbers that result from multiplying a given whole number by the set of whole numbers. |
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A problem that can be solved by more than one way, rather than a set procedure, having multiple decision points and multiple steps (grade level dependent). |
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Nonstandard Units Of Measure |
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Objects such as blocks paper clips, crayons, or pencils that can be used to obtain a measure. |
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A line of infinite extent whose points correspond to the real numbers according to their distance in a positive or negative direction from a point arbitrarily taken as zero. |
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A symbol representing a number. Hindu-Arabic numerals (0-9) are the ones most commonly used today. Other types include Egyptian, Babylonian, Mayan, Greek, and Roman numerals. |
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Any mathematical process, such as addition, subtraction, multiplication, division, raising to a power, or finding the square root. |
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A predictable or prescribed sequence of numbers, objects, etc. Patterns and relationships may be described or presented using multiple representations such as manipulatives, tables, graphics (pictures or drawings), or algebraic rules (functions). |
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An infinite two-dimensional geometric surface defined by three non-linear points or two distance parallel or intersecting lines. |
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A set is a finite or infinite collection of distinct objects in which order has no significance. |
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The edge of a polygon (e.g., a triangle has three sides), the face of a polyhedron, or one of the rays that make up an angle. |
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A term describing figures that are the same shape but are not necessarily the same size or in the same position. |
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Three-dimensional figures that completely enclose a portion of space (e.g., a rectangular prism, cube, sphere, right circular cylinder, right circular cone, and square pyramid). |
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A three-dimensional figure in which all points on the figure are equidistant from a center point. |
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A rectangle with four congruent sides; also, a rhombus with four right angles. |
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Standard Algorithm (For Division) |
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A procedure for finding a two- or more-place quotient of a division problem when a two or more-step procedure is used (steps include dividing, multiplying, comparing, subtracting, and regrouping). |
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The result of adding numbers or expressions together. |
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A polygon with three sides. |
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A determinate quantity (as of length, time, heat, or value) adopted as a standard of measurement. |
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The point common to the two rays that form an angle; the point common to any two sides of a polygon; the point common to three or more edges of a polyhedron. |
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The force with which a body is attracted to Earth or another celestial body, equal to the product of the mass of the object and the acceleration of gravity. |
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The numbers in the set {0, 1, 2, 3, 4, ...} |
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