CCS 2007 From 06-07 DPI 5 th grade indicators. CCS 2007 A real number that can be written as a positive or negative whole number, fraction, or decimal,

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Presentation transcript:

CCS 2007 From DPI 5 th grade indicators

CCS 2007 A real number that can be written as a positive or negative whole number, fraction, or decimal, Rational Number

CCS 2007 Forms of Numbers Expanded notation form Three hundred twenty-six Word Form 326 Standard form Picture Form

CCS 2007 The position of a single digit in a whole number or decimal number containing one or more digits. Place Value 145, Hundred- thousands ten- thousands ones thousands hundreds tenstenths hundredths thousandths

CCS 2007 Arranged from smallest to largest Ascending Order

CCS 2007 Arranged from largest to smallest Descending Order

CCS 2007 An answer close to the exact answer. Usually found by rounding to the nearest 10 or 100. Approximately/About

CCS 2007 Numbers that divide exactly into another number. Factors 12 – 1,2,3,4,6,12 36 – 1,2,3,4,6,9,12,18,36 48 – 1,2,3,4,6,8,12,16,24,48

CCS 2007 Number that results from multiplying a given number by a set of whole numbers. Multiples 4 – 4, 8, 12, 16, 20, 24, 28, 32, 36, 40 6 – 6, 12, 18, 24, 36, 42, 48, 54 8 – 8,16, 24, 32, 40, 48,

CCS 2007 Having the same amount or value; the state of being equal. Equivalence

CCS 2007 Equal to/not equal to Symbols used to determine relationships of equalities. equal to.5 = = =.05.3 =.003 ? <.5 ? =.1,.2,.3,.4,or.5 not equal to less than or equal to

CCS 2007 Equal parts of a whole or group written with a numerator and a denominator. Fraction Numerator 7 -Denominator

CCS Whole number fraction Fractions Numerator: number of each part Denominator: number of parts Improper fraction mixed number

CCS 2007 Fractions that are the same or equal Equivalent Fractions ml 1/2 = 3/6

CCS 2007 Numbers written in standard form to show a value less than 1. Decimal one-tenth one-hundredth one-thousandth

CCS 2007 Mathematical sentence where the left side of the equals sign has the same value as the right side. Equation

CCS 2007 Units of capacity in the metric system. milliliter, liter ml = 1 L 1 L 1 ml

CCS 2007 G Q Q Q Q PP cc 2 c = 1 p 2 p = 1 q 4 q = 1 gal cc Units of capacity in the customary system. cup, pint, quart, gallon

CCS 2007 Units of length, width and distance in the metric system. centimeter, meter, kilometer 100cm = 1m 1000 m = 1 km

CCS 2007 Units of length, width and distance in the customary system. Inches, Feet, Yards, Miles 12in = 1 ft 3 ft = 1 yd 5280 ft = 1 mi

CCS 2007 Units of weight (or mass) in the metric system. gram and kilogram 1000g = 1kg

CCS 2007 Units of weight (or mass) in the customary system. ounce, pound, and ton 16 oz = 1lb 2000 lbs = 1 ton

CCS 2007 Tool used to measure angles Protractor

CCS 2007 Two perpendicular lines which form a 90 degree angle. Right Angle

CCS 2007 An angle with a measure of more than 90 degrees, but less than 180 degrees. Obtuse Angle

CCS 2007 An angle less than 90 degrees Acute Angle 60

CCS 2007 Two angles that share a common side Adjacent Angles

CCS 2007 Angle Notation ABC = A B C Symbol used to identify an angle

CCS 2007 Two adjacent angles that total 180 degrees Supplementary Angles

CCS 2007 Two adjacent angles that total 90 degrees Complementary Angles

CCS 2007 Angles that have the same measure. Congruent Angles 45

CCS 2007 When sides of a shape are equal in length Congruent Sides These markings indicate congruent sides

CCS 2007 All three sides of this triangle are congruent. Equilateral Triangle in

CCS 2007 This triangle has two congruent sides. Isosceles Triangle in 3 in 4 in

CCS 2007 This triangle has no congruent sides Scalene Triangle in 4 in 3 in

CCS 2007 A polygon for which all sides are congruent and all angles are congruent. Regular Polygon

CCS 2007 A polygon for which all sides and all angles are not congruent. Irregular Polygon

CCS 2007 Any four sided figure. Quadrilateral

CCS 2007 A line with two endpoints Line Segment AB Midpoint

CCS 2007 A line with one endpoint Ray

CCS 2007 The Point at which two rays meet. Vertex

CCS 2007 Two rays that meet at a vertex Angle

CCS 2007 Sides or angles immediately next to each other. Adjacent

CCS 2007 To divide into two equal sections; to cut in half. Bisect

CCS 2007 Two lines that will never touch or intersect because they are the same distance apart. Parallel Lines

CCS 2007 Lines that intersect at right angles to each other. Perpendicular Lines

CCS 2007 A line joining two non-adjacent vertices of a polygon. Diagonal

CCS 2007 Four sided figure, all sides equal, opposite sides parallel, all right angles Square Sum of interior angles- 360º 2 intersecting, bisecting, perpendicular diagonals

CCS 2007 Four sided figure. opposite sides equal lengths and parallel, all right angles Rectangle

CCS 2007 Four sided figure. opposite sides equal lengths and parallel, all right angles Rectangle Sum of interior angles- 360º 2 intersecting diagonals.

CCS 2007 A four-sided figure in which the two pairs of adjacent sides have the same length. Kite Sum of interior angles- 360º 2 intersecting, perpendicular diagonals

CCS 2007 Four sided figure. Opposite sides equal lengths and parallel Parallelogram Four sided figure. opposite sides equal lengths and parallel, opposite angles equal Rhombus An six sided figure Hexagon An eight sided figure Octagon Four sided figure. Top and bottom sides parallel Trapezoid An five sided figure Pentagon

CCS 2007 Parallelogram Rhombus 9 diagonals/ sum of interior angles- 720º Hexagon 20 diagonals/ sum of interior angles- 1080º Octagon 2 intersecting diagonals/ sum of interior angles 360º Trapezoid 5 diagonals/ Sum of interior angles - 540º Pentagon 2 intersecting diagonals/ sum of interior angles 360º 2 intersecting perpendicular diagonals/ sum of interior angles 360º

CCS 2007 Number of diagonals in a polygon: #of sides # of diagonals Sum of interior angles in a polygon: #of sides Sum of int. angles 180º360º540º720º900º1080º

CCS 2007 two types of trapezoids Right Trapezoid Two right angles Isosceles Trapezoid No right angles Two congruent sides

CCS 2007 A ten sided polygon Decagon

CCS 2007 When a straight line is drawn through a shape so that the two halves are congruent. Symmetry Line of symmetry

CCS 2007 When an outline of a turning figure matches its original shape. Rotational Symmetry

CCS 2007 To turn an object, usually 90 degrees or 180 degrees, 0r 270 degrees. Point of rotation Half turn- 180 degrees Quarter turn- 90 degrees Rotations 3 Quarter turn-270 degrees

CCS 2007 Counter Clockwise The same direction as the way hands on the clock go. Clockwise The opposite direction of the way the hands on the clock go.

CCS 2007 Collection of information often organized on graphs or charts for analysis. Data

CCS , 84, 97, 98, 100, 78, 86, 100, 85, 92 78, 84, 85, 86, 92, 93, 97, 98, 100, = / 2 = The middle number in a set of data; must put numbers in order from least to greatest first. Median

CCS 2007 The number that occurs most in a set of data. Mode 56, 66, 68, 73, 44, 62, 73, 44, 89, 55, 41, 73 41, 44, 44, 55, 56, 62, 66, 68, 73, 73, 73,

CCS 2007 Subtract the smallest number from the largest number in a set of data. Range , 73, 84, 91, 87, 77, 94 73, 77, 84, 87, 89, 91, – 73 = 21 21

CCS 2007 A way to arrange data with the tens on the left and the ones listed on the right. Stem and Leaf Plot , 3, 7 2, 9, 9, 9 1 3, 9 1, 4, 6 2 5, 7, 7, 8

CCS 2007 Coordinate Grid/ X-Y Chart Used to find coordinates for ordered pairs for the X and Y axis.

CCS 2007 A horizontal number line on which each value of a set is denoted by an “x” over a value. Line Plot The number of x’s indicates how many times each score occurred l

CCS 2007 A graph that uses pictures to represent data. Pictograph Key

CCS interval label title scale Shows change over time; will have months, days or other time words in the problem. Line Graph

CCS 2007 Is used to compare facts about groups and numbers that can be counted Bar Graph labels title scale

CCS 2007 Compares parts to the whole; decimals and fractions may be used on this graph Circle Graph key title labels

CCS 2007 The number of times an event occurs; may use tally marks to record Frequency IIII IIII IIII tallies

CCS 2007 A letter or symbol that represents a number in an algebraic expression. Variable Each side of the = symbol must balance

CCS 2007 Contains at least one variable as well as other numbers and/or operations. Algebraic Expression l

CCS 2007 A mathematical sentence where the left side equals the right side. Equation

CCS 2007 Input/Output chart A chart that shows a consistent rate of change. Function Machine T-chart

CCS 2007 Unknown The variable represents the number you are solving to find, termed as the…

CCS An ordered set of numbers, shapes, or other mathematical objects, arranged according to a rule. Pattern

CCS 2007 Geometric Pattern Pattern Types Numeric Pattern Patterns using shapes 4, 8,16,32,…. Patterns using numbers

CCS 2007 Nth Term Any number in the pattern can be found by finding the relation ship or rule of the pattern. 3,6,9,12,15,18…… Nth term = 3n 10 th term = 3(10) = 30

CCS 2007 Equal to/not equal to Symbols used to determine relationships of equalities. equal to.5 = = =.05.3 =.003 ? <.5 ? =.1,.2,.3,.4,or.5 not equal to less than or equal to

CCS 2007 The quotient of two numbers used to compare two qualities. Ratio 3535 Red chips Blue chips