Presentation on theme: "CCS 2007 From 06-07 DPI 4th grade indicators CCS 2007."— Presentation transcript:
CCS 2007 From DPI 4th grade indicators
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 Written 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 45, ten- thousands ones thousands hundreds tenstenths hundredths
CCS 2007 Blocks which show base 10 number values. Base Ten Blocks
CCS 2007 Blocks which show base 10 number values. Hundred Board
CCS 2007 Compose Putting numbers together to make them easier to work with = ? = 40
CCS 2007 Breaking a number apart to make it easier to work with. 30 X 14 Decompose (30 X 10) + (30 X 4) = 420
CCS 2007 An answer close to the exact answer. Usually found by rounding to the nearest 10 or 100. Approximately/About
CCS 2007 A mathematical operation where a number is added to itself a number of times Multiply factors product Repeated Addition
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, 56
CCS 2007 array A set of objects or numbers arranged in rows and columns. ogs/default.htm
CCS 2007 Sharing or Grouping a number into equal parts. Divide quotient
CCS 2007 Division Vocabulary The Number being divided A number that will divide the dividend The result of a division Dividend Divisor Quotient
CCS 2007 Divisibility Rules
CCS 2007 Amount left over after dividing a number Remainder Fair shares ** Dividing is Sharing Equally!**
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 3 -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 Equal Portions
CCS 2007 A fraction written as a decimal Decimal Fraction to.html
CCS 2007 Numbers written in standard form to show a value less than 1. Decimal one-tenth one-hundredth one-thousandth
CCS 2007 A line on which numbers, decimals and fractions can be compared and ordered. Number Line l <.8.08 is less than > is greater than.8
CCS 2007 Problem Solving Strategies
CCS 2007 Problem Solving Method Look Back Justify, prove, evaluate or explain the reasonableness of your answer.
CCS 2007 Using a table/chart X X X
CCS 2007 Guess and Check Prince Carl divided 15 stone games into two piles: games he owns and games his brother owns. He owns 3 more games than his brother. How many games does his brother own? Answer: Prince Carl – 9 Brother - 6
CCS 2007 Make a diagram/ picture Question: Laura has 3 green chips, 4 blue chips and 1 red chip in her bag. What fractional part of the bag of chips is green?
CCS 2007 Make an organized list Question: Jill, Makayla and Tanya don’t want to ride the Ferris-wheel alone. How many ways can they ride if the ride will only fit two at a time? Jill/Makayla Jill/Tanya Makayla/Tanya 3 ways \ Organized list Answer
CCS 2007 Work Backwards The castle kitchen servants brought in 4 pies left over from the feast. 12 pies were eaten at the feast. Queen Mab took 2 home with her. How many pies did the servants bring into the feast at the beginning? = =18
CCS 2007 Using a calculator 5350/1-calculatorRiddles.html
CCS 2007 Using Objects, models, representations
CCS 2007 Information in a problem that does NOT help you solve the problem. Extra Information The peasants had to dig a trench 3 feet side to side and 10 times as long. It took them 4 days to dig it. There were 7 of them digging. How long was the trench?
A peg-board on which elastic bands are used to make shapes and patterns. Geo Board
CCS 2007 A three sided polygon. Triangle
CCS 2007 A polygon for which all sides are congruent and all angles are congruent. Regular Polygon
CCS 2007 Any four sided figure. Quadrilateral
CCS 2007 Four sided figure, all sides equal, opposite sides parallel, and all right angles. Square
CCS 2007 Four sided figure. opposite sides equal lengths and parallel, all right angles Rectangle atics/12874/nns_useict026000carroll.swf
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 A ten sided polygon Decagon
CCS 2007 A line with two endpoints Line Segment AB
CCS 2007 A line with one endpoint Ray
CCS 2007 The Point at which two rays meet. Vertex This triangle contains 3 vertices
CCS 2007 Two rays that meet at a vertex Angle
CCS 2007 The measurement of the longest side of a figure.
CCS 2007 The measurement of the shortest side of a figure.
CCS 2007 The measurement of all sides of a plane figure Perimeter 3 in 4 in The DIMENSIONS of this rectangle ar 4 inches long, and 3 inches wide. To find the perimeter: length + length+ width + width 4in + 4in + 3in + 3in= 12in Hint:P lus all sides!
CCS 2007 The measurement of square units needed to cover a figure. Area 3 in 4 in Length X Width 3in X 4in = 12 square inches
CCS 2007 units used to measure area Square Units 3 in 4 in Length X Width 3in X 4in = 12 square inches Each of these is a square unit.
A pair of numbers that gives the coordinates of a point on a grid Ordered Pair (1,2)
CCS 2007 Coordinate Grid/ X-Y Chart Used to find coordinates for ordered pairs for the X and y axis.
CCS 2007 Quadrant Any quarter of a plane divided by an X and Y axis.
CCS 2007 A line joining two non-adjacent vertices of a polygon. Diagonal
CCS 2007 When lines cross over one another Intersect
CCS 2007 Two perpendicular lines which form a 90 degree angle. Right Angle
CCS 2007 Two lines, equal distance apart that will never touch or intersect; non- intersecting lines Parallel Lines
CCS 2007 Lines that intersect at right angles to each other. Perpendicular Lines
CCS 2007 Any 2-dimensional (flat) area Plane
CCS 2007 A change in position or size Transformations
CCS 2007 A mirror view Reflection l Pre-image (before) -image (after)
CCS 2007 Move or shift an item in any direction without rotating it. Translation Also called a slide
CCS 2007 To turn an object, usually 90 degrees or 180 degrees. Rotation origin Half turn- 180 degrees Quarter turn- 90 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.
Used to collect and organize data Table rows columns
CCS 2007 The number of times an event occurs; may use tally marks to record Frequency IIII IIII IIII tallies
CCS 2007 A diagram using circles or other shapes to show the relationship between sets Venn Diagram Guess the rule for this Venn Diagram
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 title
CCS 2007 Graph used to compare facts about groups and numbers that can be counted Bar Graph labels title scale
CCS 2007 This graph is similar to a regular bar graph, but it gives 2 pieces of information for each item, rather than just 1. Double Bar Graph Fruit Sold at the Market Scale title labels
CCS interval label title scale A graph that shows change over time. Line Graph
CCS 2007 A graph that compares parts to the whole; decimals and fractions may be used on this graph Circle Graph key title labels
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 89, 73, 84, 91, 87, 77, 94 73, 77, 84, 87, 89, 91, – 73 = 21 21
CCS 2007 The likelihood that an event will happen Probability What color did the spinner land on? Was this one of the favorable choices? Were there equal chances for both colors?
CCS 2007 An event that occurs or happens. Outcome What color did the spinner land on? Was this one of the favorable choices? Were there equal chances for both colors?
CCS 2007 An outcome that will probably occur or happen. Likely What are the chances of the arrow landing on white? When spinning the spinner 10 times, where is the arrow likely to land most often? Less often? Is your answer certain or uncertain?
CCS 2007 Each outcome has the same chance of occurring Equally Likely
CCS 2007 An event that you think will occur or happen. Prediction What color do you think the arrow will land on? Which color is less likely? Which color is more likely?
CCS 2007 An outcome that will never occur or happen. Impossible What are the chances of the arrow landing on blue?
CCS Steps: 1. Determine whether or not order matters. 2.Make an organized list of all possible outcomes. 3. Use this sample set of possible outcomes to determine your answer. Using the digits 3,4 and 5. What are all the possible three digit numbers you could create? 345, , , 543 Answer- 6 Order matters in this problem. Different orders make different numbers. Strategy for solving problems for determining outcomes: (Combinations and Permutations)
An ordered set of numbers, shapes, or other mathematical objects, arranged according to a rule. Pattern
CCS 2007 Input/Output chart A chart that shows a consistent rate of change. Function Machine T-chart
CCS 2007 A mathematical sentence where the left side equals the right side. Equation/Expression
CCS 2007 A letter or symbol that represents a number in an algebraic expression. Variable Each side of the = symbol must balance
CCS 2007 Unknown The variable represents the number you are solving to find, termed as the… “X” or some other symbol is used to represent the unknown
CCS 2007 Order of Operations The order in which operations should be done.
CCS 2007 Resources Web Resources are listed at the bottom of each slide. Additional resources: –http://www.teachers.ash.org.au/jeather/maths/ dictionary.htmlhttp://www.teachers.ash.org.au/jeather/maths/ dictionary.html