Presentation on theme: "partial-differences method"— Presentation transcript:
1partial-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.
2partial-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.
3pattern?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.
4Pattern-Block Template A plastic sheet with geometric shapes cut out.
7per-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.
8Per hundred, or out of a hundred. percent (%)100%=1100or 0.011 one-hundredth1510015%=or 0.15Per hundred, or out of a hundred.
9perfect 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.
10The distance around a two-dimensional closed plane figure or region. perimeter2cm3cm3cm1cm=4=9cmThe distance around a two-dimensional closed plane figure or region.
11perpendicular line segments Two rays, lines segments that form right angles are said to be perpendicular to each other.
12The ration of the circumference of a circle to its diameter. pi= C / DThe ration of the circumference of a circle to its diameter.
13A graph made with pictures or symbols. pictographA graph made with pictures or symbols.
14pie 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.
15Standard measurement used to measure capacity equal to 2 cups. pint=Standard measurement used to measure capacity equal to 2 cups.
16place value745,309,281The worth of each digit in a number, with is determined by its position.
17A flat surface that extends forever. planeA flat surface that extends forever.
18An exact location in space. pointPoints areusually labeledwith capitalletters.RWKLAn exact location in space.
19point 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
20polygonA closed plane figure formed by three or more line segments that meet only at their end points.
21A closed 3-dimensional shape, all of whose surfaces (faces) are flat. polyhedronA closed 3-dimensional shape, all of whose surfaces (faces) are flat.
22A three-dimensional solid with varying numbers of faces. polyhedra diceA three-dimensional solid with varying numbers of faces.
23A page showing a collection of numerical data used in number stories. posterA page showing a collection of numerical data used in number stories.
24positive rational numbers Numbers great than 0 that can be written as a fraction or a termination or repeating decimal.
25Standard unit of weight. pound (lb)one poundStandard unit of weight.
26A 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.
28probabilityThe 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.
29probabilityA number from 0 to 1 that indicated the likelihood that something (an event) will happen.
30The result of doing multiplication. product5multiplicandX 31 5multiplierproductThe result of doing multiplication.
31A 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.
32prime 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.
33prismA polyhedron with two parallel flat faces (bases) with the same size and shape.
34The result of doing multiplication. product2 X 4 = 8The result of doing multiplication.
35All 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.
36property size shape color attributes number of parts A feature of an object.
37A device for measuring or drawing angles. protractorA device for measuring or drawing angles.
38pyramidA polyhedron(3-dimensional shape) in which one face (base) is a polygon and the other faces are triangles with a common vertex (apex).
39Pythagorean 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
54rational numberAny number that can be represented in form , where a and b are integers and b is not 0.ab
55A parallelogram whose angles are all right angles. rectangleA parallelogram whose angles are all right angles.
56rectangular 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.
57A prism whose bases are rectangles. rectangular prismA prism whose bases are rectangles.
58A pyramid whose base is a rectangle. rectangular pyramidA pyramid whose base is a rectangle.
59reference 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.
60reflection"Flipping" a picture or object so that its image is the mirror opposite of the original (preimage).
61angle whose measure is between 180° and 360°. reflex angleangle whose measure is between 180° and 360°.
62A 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.
63regular polygonA convex polygon in which all the sides are the same length and all the angles have the same measure.
64A polygon whose sides are all the same. regular polygonA polygon whose sides are all the same.
65regular polyhedronA polyhedron with all faces the same shape and same size. There are five regular polyhedrons.
66regular polyhedronA polyhedron whose faces are all congruent regular polygons and with the same number of faces meeting at every vertex.
67A symbol used to express a relationship between two quantities. relation symbol><=A symbol used to express a relationship between two quantities.
68The amount left over when things are divided into equal shares. remainderremainderThe amount left over when things are divided into equal shares.
69Decimals that continue a pattern without end. repeating decimal.333…13= .30Decimals that continue a pattern without end.
70A parallelogram with sides that are all the same length. rhombusA parallelogram with sides that are all the same length.
71A square corner; a 90 angle. right angle90oA square corner; a 90 angle.o
72A triangle that has a right angle. right triangleA triangle that has a right angle.
73A turn around a center point or axis. rotationA turn around a center point or axis.
74Reciting numbers in order from memory. rote countingReciting numbers in order from memory.
75rotation 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.
76To express a number in a simplified way. roundabout 20 unitsabout 10Cabout 2 lbTo express a number in a simplified way.
77roundingabout 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.
79A horizontal arrangement of objects or numbers in an array or table. rowA horizontal arrangement of objects or numbers in an array or table.
80A 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.
81A subset of a population used to represent the whole population. sampleA subset of a population used to represent the whole population.
82scaleThe ratio of the distance on a map, globe, or drawing to the actual distance.
83scale drawingAn accurate picture of an object in which all parts are drawn to the same scale.
84scale factorA number that names "how many times as many?" or "what fraction of?" one quantity is of another quantity.
85A triangle in which no sides are the same length. scalene triangleA triangle in which no sides are the same length.
864,000,000 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.
87A roll of paper with words and/or pictures written on it. scrollA roll of paper with words and/or pictures written on it.
88A collection or group of objects, numbers or other items. set( 23, 44, 56, 88 )A collection or group of objects, numbers or other items.
89A region bound by an arc and two radii of a circle. sectorA region bound by an arc and two radii of a circle.
90semicircleHalf of a circle; either of two parts of a circle between (and including) the endpoints of a diameter.
91Sieve of EratosthenesA method credited to the mathematician Eratosthenes (about 200 B.C.) for identifying prime numbers.
92significant figureIn a count or measurement, digits that reflect the precision of the result.
93similar figuresFigures that have the same shape but are not necessarily the same size.
94simplest formA fraction in which the numerator and the dominator have no common factor except 1 and the numerator is less than the denominator.
95simplify an expression 7y y10y + 93(2y + 5) – y5y + 15To rewrite the expression by removing parentheses and combining like terms.
96Counting by a specified added amount from a specified starting number. skip countingCounting by a specified added amount from a specified starting number.
97Any line segment that makes up a polygon. sideAny line segment that makes up a polygon.
98Lap board used to write on. slate2+24Lap board used to write on.
99speedA rate that compares distance traveled with the time taken to travel that distance.
100sphereA 3-dimensional shape whose curved surface is a given distance from its center point.
101sphereThe set of all points in space that are a given distance (the radius of the sphere) from a given point (center of the sphere).