Presentation on theme: "partial-differences method"— Presentation transcript:
1 partial-differences method 932-3561. Subtract 100’s:6002. Subtract 10’s: 30-50-203. Subtract 1’s: 2-4-44. Add the partial differences576( , done mentally)A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial differences are then added to give the final answer.
2 partial-sums algorithm 2 6 81. Add 100’s6 0 02. Add 10’s1 4 0+1 13. Add 1’s7 5 1Add partial sumAn addition procedure in with sums are computed for each lace separately and then added to find the sum.
3 pattern?100, 90, 80, ??2, 4, 6, ?5,10,15,20,?A model or plan in which objects or numbers can be arranged so that what comes next can be predicted.
4 Pattern-Block Template A plastic sheet with geometric shapes cut out.
7 per-unit rate Two dollars per gallon 12 miles per hour 4 words per minuteA rate that tells the quantity of items with a given unit for each item of a different unit.
8 Per hundred, or out of a hundred. percent (%)100%=1100or 0.011 one-hundredth1510015%=or 0.15Per hundred, or out of a hundred.
9 perfect number 6 is a perfect number because when you add its proper factorsthe answer is equal to 6:= 6.A number in which the sum of all its proper factors is equal to the number itself.
10 The distance around a two-dimensional closed plane figure or region. perimeter2cm3cm3cm1cm=4=9cmThe distance around a two-dimensional closed plane figure or region.
11 perpendicular line segments Two rays, lines segments that form right angles are said to be perpendicular to each other.
12 The ration of the circumference of a circle to its diameter. pi= C / DThe ration of the circumference of a circle to its diameter.
13 A graph made with pictures or symbols. pictographA graph made with pictures or symbols.
14 pie graphA graph that uses a circle divided into parts to show the parts of a set of data. The circle represents the whole set of data.
15 Standard measurement used to measure capacity equal to 2 cups. pint=Standard measurement used to measure capacity equal to 2 cups.
16 place value745,309,281The worth of each digit in a number, with is determined by its position.
17 A flat surface that extends forever. planeA flat surface that extends forever.
18 An exact location in space. pointPoints areusually labeledwith capitalletters.RWKLAn exact location in space.
19 point symmetryThe property of a figure that can be rotated 180 about a point in such a way that the resulting figure exactly matches the original figured.o
20 polygonA closed plane figure formed by three or more line segments that meet only at their end points.
21 A closed 3-dimensional shape, all of whose surfaces (faces) are flat. polyhedronA closed 3-dimensional shape, all of whose surfaces (faces) are flat.
22 A three-dimensional solid with varying numbers of faces. polyhedra diceA three-dimensional solid with varying numbers of faces.
23 A page showing a collection of numerical data used in number stories. posterA page showing a collection of numerical data used in number stories.
24 positive rational numbers Numbers great than 0 that can be written as a fraction or a termination or repeating decimal.
25 Standard unit of weight. pound (lb)one poundStandard unit of weight.
26 A product of factors that are all the same. power5 x 5 x 5 (or 125) is called5 to the third power,or the third power of 5,because 5 is a factorthree times. 5 x 5 x 5can also be written as 5.3A product of factors that are all the same.
27 (exponential notation). powers of ten100 is equal to10 x 10 or 10(exponential notation).100 is called ten squared,the second power of 10,or 10 to the second power.2Written exponential notation, the exponent shows how many times 10 is a factor.
28 probabilityThe teacher puts 7 blue squares and 2 red squares in the box.If you pull a square out of the box.What will probably be the color?Can you pull out a purple square?A number from 0 to 1 that shows the likelihood that an event will happen.
29 probabilityA number from 0 to 1 that indicated the likelihood that something (an event) will happen.
30 The result of doing multiplication. product5multiplicandX 31 5multiplierproductThe result of doing multiplication.
31 A number expressed as a product of prime factors. prime factorizationThe prime factorizationof 24 is2 * 2 * 2 * 3or 2 * 33A number expressed as a product of prime factors.
32 prime numberA whole number greater than 1 that has exactly two whole-number factors, 1 and itself. A prime number is only divisible by 1 and itself.
33 prismA polyhedron with two parallel flat faces (bases) with the same size and shape.
34 The result of doing multiplication. product2 X 4 = 8The result of doing multiplication.
35 All the factors of a number except the number itself. proper factorThe factors for thenumber 10 are1, 2, 5 and 10.The proper factorsare 1, 2, and 5.All the factors of a number except the number itself.
36 property size shape color attributes number of parts A feature of an object.
37 A device for measuring or drawing angles. protractorA device for measuring or drawing angles.
38 pyramidA polyhedron(3-dimensional shape) in which one face (base) is a polygon and the other faces are triangles with a common vertex (apex).
39 Pythagorean TheoremThe following famous theorem: If the legs of a right triangle have the lengths a and b, and the hypotenuse has length c, then a + b =c222
54 rational numberAny number that can be represented in form , where a and b are integers and b is not 0.ab
55 A parallelogram whose angles are all right angles. rectangleA parallelogram whose angles are all right angles.
56 rectangular methodA method for finding area, in which rectangles are used to surround a figure or parts of a figure. All the area is calculated in either area of rectangles or of triangular halves of rectangular regions.
57 A prism whose bases are rectangles. rectangular prismA prism whose bases are rectangles.
58 A pyramid whose base is a rectangle. rectangular pyramidA pyramid whose base is a rectangle.
59 reference frame number lines time lines calendars thermometers maps coordinate systemsA system of numbers, letter, or words to show quantities with reference to a zero point.
60 reflection"Flipping" a picture or object so that its image is the mirror opposite of the original (preimage).
61 angle whose measure is between 180° and 360°. reflex angleangle whose measure is between 180° and 360°.
62 A symbol used to express the association between two quantities. reflection symbol= for equal to= for is not equal to< for less than> for greater than< for is less than or equal to> for greater than or equal toA symbol used to express the association between two quantities.
63 regular polygonA convex polygon in which all the sides are the same length and all the angles have the same measure.
64 A polygon whose sides are all the same. regular polygonA polygon whose sides are all the same.
65 regular polyhedronA polyhedron with all faces the same shape and same size. There are five regular polyhedrons.
66 regular polyhedronA polyhedron whose faces are all congruent regular polygons and with the same number of faces meeting at every vertex.
67 A symbol used to express a relationship between two quantities. relation symbol><=A symbol used to express a relationship between two quantities.
68 The amount left over when things are divided into equal shares. remainderremainderThe amount left over when things are divided into equal shares.
69 Decimals that continue a pattern without end. repeating decimal.333…13= .30Decimals that continue a pattern without end.
70 A parallelogram with sides that are all the same length. rhombusA parallelogram with sides that are all the same length.
71 A square corner; a 90 angle. right angle90oA square corner; a 90 angle.o
72 A triangle that has a right angle. right triangleA triangle that has a right angle.
73 A turn around a center point or axis. rotationA turn around a center point or axis.
74 Reciting numbers in order from memory. rote countingReciting numbers in order from memory.
75 rotation symmetryProperty of a figure that can be rotated around a point in such a way that the resulting figure exactly matches the original figure. The rotation must be more than 0 degrees, but less than 360 degrees.
76 To express a number in a simplified way. roundabout 20 unitsabout 10Cabout 2 lbTo express a number in a simplified way.
77 roundingabout 20 unitsabout 10Cabout 2 lbReplacing a number with a nearby number that is easier to work with or better reflects the precision of the date.
79 A horizontal arrangement of objects or numbers in an array or table. rowA horizontal arrangement of objects or numbers in an array or table.
80 A table for displaying the input output and the role for a function. rule tablein out? 9?A table for displaying the input output and the role for a function.
81 A subset of a population used to represent the whole population. sampleA subset of a population used to represent the whole population.
82 scaleThe ratio of the distance on a map, globe, or drawing to the actual distance.
83 scale drawingAn accurate picture of an object in which all parts are drawn to the same scale.
84 scale factorA number that names "how many times as many?" or "what fraction of?" one quantity is of another quantity.
85 A triangle in which no sides are the same length. scalene triangleA triangle in which no sides are the same length.
86 4,000,000 in scientific notation 0.00001 in scientific notation is 4 x 10in scientific notationis 1 x 106-6A system for representing numbers in which a number is written as the product of a power of 10 and a number that is at least 1 but less than 10. Scientific notation allows writing big and small numbers with only a few symbols.
87 A roll of paper with words and/or pictures written on it. scrollA roll of paper with words and/or pictures written on it.
88 A collection or group of objects, numbers or other items. set( 23, 44, 56, 88 )A collection or group of objects, numbers or other items.
89 A region bound by an arc and two radii of a circle. sectorA region bound by an arc and two radii of a circle.
90 semicircleHalf of a circle; either of two parts of a circle between (and including) the endpoints of a diameter.
91 Sieve of EratosthenesA method credited to the mathematician Eratosthenes (about 200 B.C.) for identifying prime numbers.
92 significant figureIn a count or measurement, digits that reflect the precision of the result.
93 similar figuresFigures that have the same shape but are not necessarily the same size.
94 simplest formA fraction in which the numerator and the dominator have no common factor except 1 and the numerator is less than the denominator.
95 simplify an expression 7y y10y + 93(2y + 5) – y5y + 15To rewrite the expression by removing parentheses and combining like terms.
96 Counting by a specified added amount from a specified starting number. skip countingCounting by a specified added amount from a specified starting number.
97 Any line segment that makes up a polygon. sideAny line segment that makes up a polygon.
98 Lap board used to write on. slate2+24Lap board used to write on.
99 speedA rate that compares distance traveled with the time taken to travel that distance.
100 sphereA 3-dimensional shape whose curved surface is a given distance from its center point.
101 sphereThe set of all points in space that are a given distance (the radius of the sphere) from a given point (center of the sphere).