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Multiplication Properties Commutative - You can always multiply numbers in any order and the product will be the same. Ex: 5 x 4 = 20 & 4 x 5 = 20 Associative Property – You can group factors differently and the product will be the same. Ex: (4 x 4) x 2 = 4 x (4 x 2) Property of One - When one of the factors is 1, the product equals the other number. Ex: 5 x 1 = 5 Zero Property - When one factor is 0, the product is 0. Ex: 8 x 0 = 0
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Perimeter The distance around a figure. Formula = square = 4s Rectangle = 2l + 2w All other shapes – add ALL sides
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AREA The number of square units needed to cover a surface. Area = length x width 8 cm. 3 cm. 8 x 3 = 24 square cm.
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Area of a Triangle Formula: ½ bh or bh 2 A triangle is half of a rectangle/square so we use the same formula but cut it in half. EX: 6 in. 12in. Area of the rectangle would be 6 X 12 = 72 sq. in. Area of the triangle would be (6X12) ÷ 2 = 36 sq. in.
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Volume The measure of the space a solid figure occupies. Volume is measured in cubic units. Volume = length x width x height V = L X W X H 8 x 3 x 4 = 96 cubic inches 8 in. 4 in. 3 in.
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Factors Numbers multiplied together to find a product. Ex: The factors of 12 are 1, 2, 3, 4, 6, and 12 Greatest Common Factor (GCF) The greatest number that is a factor of each or two or more numbers. The factors of 12 are = 1, 2, 3, 4, 6, 12 The factors of 18 are = 1, 2, 3, 6, 9, 18 The greatest common factor is 6.
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A number that has exactly 2 factors, 1 and the number itself. Ex: 3, 5, 7, 11, 13 Numbers that have more than two factors. Ex: 4, 6, 8, 9, 10
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Metric Units Length: - millimeter (mm) - centimeter (cm) - decimeter (dm) - meter (m) 1 meter = 10 decimeters, 100 centimeters, 1,000 millimeters 1 decimeter = 10 centimeters, 100 millimeters 1 centimeter = 10 millimeters
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Capacity : - milliliter (mL) - liter (L) - kiloliter (kL) 1 liter = 1,000 milliliters 1 kiloliter = 1,000 liters Weight (Mass) : -gram (g) - kilogram (kg) -milligram (mg) 1 gram = 1,000 milligrams 1 kilogram = 1,000 grams
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Parallel Lines Lines that will always be the same distance apart, they will never cross Perpendicular Lines Lines that cross each other to make a perfect right angle Intersecting Lines Lines that meet or cross each other
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Ray A part of a line that has one endpoint and extends indefinitely in one direction.
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Line A set of points in a line that goes on forever in both direction. Line Segment A part of a line defined by two endpoints.
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Angle Two rays that share an endpoint
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Right Angle An angle that measures exactly 90 °.
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Obtuse Angle An angle with a measure greater than 90° and less than 180°.
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Acute Angle An angle with a measure less than 90°.
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Straight Angle An angle with a measure of exactly 180°.
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Polygon A closed figure made only of straight lines.
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Quadrilateral A four sided polygon.
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Trapezoid A quadrilateral with exactly two parallel sides.
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Rectangle A quadrilateral with two pairs of congruent, parallel sides and four right angle.
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Square A rectangle with four congruent sides and four right angles.
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Parallelogram A quadrilateral with two pairs of parallel AND congruent sides.
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Rhombus A parallelogram with all four sides equal in length.
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Isosceles Triangle A triangle with two congruent sides. 3 cm. 2 cm.
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Scalene Triangle A triangle in which each side is a different length. 2 cm. 4 cm. 3 cm.
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Equilateral Triangle A triangle with all sides congruent. 2 cm.
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Obtuse Triangle A triangle which has one obtuse angle.
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Acute Triangle A triangle with 3 acute angles.
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Right Triangle A triangle with 1 right angle.
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Congruent Figures Figures that have the same size and same shape.
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Similar Figures Figures that have the same size OR the same shape. They do not have both.
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Line Symmetry When a figure can be folded on a line so that it’s two parts are congruent.
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Radius A line segment that connects the center with a point on the circle. Diameter A chord that passes through the center of a circle. A line segment that connects any two points on a circle. Chord Circumference The perimeter of a circle. Radius Chord Diameter
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Radius A line segment that connects the center with a point on the circle. Radius
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Diameter A chord that passes through the center of a circle.
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Chord A line segment that connects any two points on a circle.
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Circumference The perimeter of a circle.
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Transformation Anytime you move a figure, you transform it. The transformations are translation, rotation, and reflection.
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Translation Aka - slide A transformation that slides a figure in a given distance and in a given direction.
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Reflection Aka - flip A transformation that creates a mirror image of a figure on the opposite side of a line.
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Rotation Aka - turn A transformation in which a figure is turned around a point.
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Face A plane figure that serves as one side of a solid figure.
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Edge The line segment where two faces of a solid figure meet.
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Vertex A point on a polyhedron where three or more faces intersect.
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Base A special kind of face. The shape could “rest” on it.
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Prism A 3-Dimensional figure that has two congruent and parallel faces that are polygons. The rest of the faces are parallelograms.
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Pyramid A 3-Dimensional figure whose base is a polygon and whose other faces are triangles that share a common vertex.
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Volume The number of cubic units it takes to fill a solid. V = L x W x H
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Equivalent Fractions Fractions that name the same number or amount. 3 6 4 8 Improper Fraction Fraction in which the numerator is bigger than the denominator. You must DIVIDE to make it into a mixed number. EX: 25 4
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Mixed Number Number that contains a whole number and a fraction. Ex: Certain Something that will ALWAYS happen.
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Compatible Numbers Pairs of numbers that are easy to compute in your head. Cubic Units The number of cubes with dimensions of 1 unit x 1 unit x 1unit that can fit inside a solid figure. Unit used to show volume.
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Ascending In order from least to greatest number. Descending In order from greatest to least number.
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Formula A set of symbols that expresses a mathematical rule. EX: A = l x w Inverse Operations Opposite operations that undo each other. Ex: addition & subtraction or multiplication & division
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Possible Outcomes Something that has a chance of happening in an experiment. Simplest Form A fraction that has 1 as the greatest common factor of the numerator and denominator. The numerator and denominator are as low as they can go.
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Greatest Common Factor Also known as GCF The largest number that divides evenly into two or more numbers.
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Vertical Axis A.K.A – Y-Axis The vertical number line on a graph. Horizontal Axis A.K.A – X-Axis The horizontal number line on a graph
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Division Dividend – the large number that is being divided Divisor – the number you are dividing by Quotient – the answer to a division problem 28 ÷ 4 = 7 OR 4 28 28 is the dividend, 4 is the divisor, and 7 is the quotient 7
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Elapsed Time The amount of time that passes between two set times. Ex: start time of a class and end time Units of Time 1 year = 365 days 1 year = 12 months 1 year = 52 weeks 1 week = 7 days 1 day = 24 hours 1 hour = 60 minutes 1 minute = 60 seconds
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Multiplication The operation of repeated addition. EX: 3 X 4 = 3 + 3 + 3 + 3 = 12 4 X 7 = 28 4 7
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Array An arrangement of objects in equal rows. EX: Unmarked Array An array without the boxes in the inside.An “empty”array. EX: 3 11
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Dimensions The lengths of the sides of an object or array. EX: 5 and 7 are the dimensions of this unmarked array. 5 7 Square Number A number that can be made into a square array. EX: 3 X 3 = 9 so 9 is a square number. 3 3
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Multiplication Combination When you have labeled the dimensions of an array they are the multiplication combinations for the number. (Number Sentence) 4 X 6 = 24 4 6
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Multiple The product of a number and any other number. The multiples of a number are what you say when you are counting by that number EX: The multiples of 6 are: 18, 24, 30, 36… Reasonable Does that make sense????
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Fraction – A way of representing part of a whole or part of a group. Numerator – The number on top that tells how many equal parts are described in the fraction. Denominator – The quantity below the line in a fraction. It tells the number of equal parts into which the whole is divided.
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Median The middle number of a set of numbers when the numbers are arranged from greatest to least Mode The number that appears most frequently in a set of number. There might be one mode, more than one mode, or no mode.
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Range The difference between the greatest and the least value in a set of data
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peRIMeter
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The middle number in an ordered series of numbers EX: 65, 78, 80, 93, 98 Median = 80
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The difference in the greatest and least numbers in a set of data. Ex: 92, 95, 76, 100 Range = 100 – 76 = 24
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The number that is listed the most often in a set of data. Ex: 3, 4, 4, 5, 7, 7, 7, 7, 8, 9, 9 Mode = 7
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Even ends with 0, 2, 4, 6, 8 Odd ends with 1, 3, 5, 7,9
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Customary Units Length: –Inch (in.) - Foot (ft.) –Yard (yd)- Mile (mi) 1 Foot = 12 inches 1 Yard = 3 feet Weight –Ounce (oz) –Pound (lb) 1 Pound = 16 Ounces
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Capacity: - Cup- Pint - Quart - Gallon 1 Pint = 2 cups 1 Quart = 2 pints 1 Gallon = 4 Quarts
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