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partial- differences method 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. 932 - 3 5 6 1. Subtract 100’s: 900- 300 600 2. Subtract 10’s: 30-50 -20 3. Subtract 1’s: 2-4 -4 4. Add the partial differences 576 (600-20-4, done mentally)
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Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

Apr 01, 2015

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Pedro Purvis
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Page 1: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

partial-differences

method

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.

932

-3561. Subtract 100’s: 900-300 6002. Subtract 10’s: 30-50 -203. Subtract 1’s: 2-4 -44. Add the partial differences 576

(600-20-4, done mentally)

Page 2: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

partial-sums

algorithm

An addition procedure in with sums are computed for each lace separately and then added to find

the sum.

2 6 8+ 4 8 3 6 0 0

1 4 0 1 1+

7 5 1

1. Add 100’s2. Add 10’s3. Add 1’sAdd partial sum

Page 3: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

pattern

A model or plan in which objects or numbers can be

arranged so that what comes next can be

predicted.

?

2, 4, 6, ?

100, 90, 80, ?

?

5,10,15,20,?

Page 4: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

Pattern-Block

Template

A plastic sheet with geometric shapes cut out.

Page 5: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

pentagon

A 5-sided polygon.

Page 6: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

per

In each or for each.

Five chairsper row

Page 7: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

per-unit rate

A rate that tells the quantity of items with a given unit for each

item of a different unit.

Two dollars per gallon12 miles per hour4 words per minute

Page 8: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

percent (%)

Per hundred, or out of a

hundred.

1 100

or 0.01

1 one-hundredth

100%=

15%= 15 100

or 0.15

Page 9: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

perfect number

A number in which the sum of all its proper factors is

equal to the number itself.

6 is a perfect number because when you add its proper factors the answer is equal to 6: 1 + 2 + 3 = 6.

Page 10: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

perimeter

The distance around a two-

dimensional closed plane figure or

region.

2cm

3cm

1cm

3cm

2+3+1+3=9cm1+1+1+1=4

Page 11: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

perpendicular line

segments

Two rays, lines segments that form

right angles are said to be

perpendicular to each other.

Page 12: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

pi

The ration of the circumference of a

circle to its diameter.

= C / D

Page 13: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

pictograph

A graph made with pictures or symbols.

Page 14: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

pie graph

A 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.

Page 15: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

pint

Standard measurement used

to measure capacity equal to 2

cups.

=

Page 16: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

place value

The worth of each digit in a number,

with is determined by its

position.

745,309,281

Page 17: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

plane

A flat surface that extends

forever.

Page 18: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

point

An exact location in

space.

Points are usually labeled with capital letters.

K L

R

W

Page 19: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

point symmetry

The 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

Page 20: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

polygon

A closed plane figure formed by

three or more line segments that meet

only at their end points.

Page 21: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

polyhedron

A closed 3-dimensional shape,

all of whose surfaces (faces)

are flat.

Page 22: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

polyhedra dice

A three-dimensional solid

with varying numbers of faces.

Page 23: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

poster

A page showing a collection of numerical data used in number stories.

Page 24: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

positive rational numbers

Numbers great than 0 that can be written as

a fraction or a termination or

repeating decimal.

Page 25: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

pound (lb)

Standard unit of weight.

one pound

Page 26: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

power

A product of factors that are all

the same.

5 x 5 x 5 (or 125) is called 5 to the third power, or the third power of 5, because 5 is a factor three times. 5 x 5 x 5 can also be written as 5. 3

Page 27: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

powers of ten

Written exponential notation, the

exponent shows how many times 10 is a

factor.

100 is equal to 10 x 10 or 10

(exponential notation). 100 is called ten squared, the second power of 10,

or 10 to the second power.

2

Page 28: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

probability

A number from 0 to 1 that shows the

likelihood that an event will happen.

The 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?

Page 29: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

probability

A number from 0 to 1 that indicated the

likelihood that something (an event)

will happen.

Page 30: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

product

The result of doing

multiplication.

X 31 5

5 multiplicand

multiplier

product

Page 31: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

prime factorization

A number expressed as a

product of prime factors.

The prime factorization

of 24 is 2 * 2 * 2 * 3

or 2 * 3

3

Page 32: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

prime number

A 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.

Page 33: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

prism

A polyhedron with two parallel flat

faces (bases) with the same size and

shape.

Page 34: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

product

The result of doing

multiplication.

Page 35: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

proper factor

All the factors of a number except the

number itself.

The factors for the number 10 are 1, 2, 5 and 10. The proper factors are 1, 2, and 5.

Page 36: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

property

A feature of an object.

size

color

shape

number of parts

attributes

Page 37: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

protractor

A device for measuring or

drawing angles.

Page 38: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

pyramid

A polyhedron (3-dimensional shape)

in which one face (base) is a polygon and

the other faces are triangles with a

common vertex (apex).

Page 39: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

Pythagorean Theorem

The 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 =c

2 2 2

Page 40: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

quadrangle

A 4-sided polygon.

Page 41: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

quadrilateral

A 4-sided polygon.

Page 42: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

quadruple

Four times an amount.

Page 43: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

quadrillion

A digit(s) followed by 15 whole-number

places.

Quadrillion written in number form is

1,000,000,000,000,000 or in exponential form

1015

Page 44: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

quintillion

A digit(s) followed by 18 whole number

places.

Quintillion written in number form is

1,000,000,000,000,000,000 or in exponential form

1018

Page 45: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

quotient

The result after dividing one

number by another number; the

number of equal shares.

Page 46: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

radius

A line segment from the center of a circle

(or shape) to any point on the circle (or

shape); also, the length of such a line

segment.

Page 47: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

random sampling

Taking a sampling from the population in a

manner that allows all members the same

chance of being included.

Page 48: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

range

The difference between the greatest and least numbers in

a set of data.

range450-75375

10143

Page 49: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

rate

A comparison of two quantities with

unlike units.

A speed such as 55 miles per hour

compares distance with time.

Page 50: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

ratio

A comparison of two quantities with like units. Ratios can be expressed with fractions, decimals,

percent, or words; or written with a colon

between the two numbers being compared.

Page 51: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

ray

A straight path that extends

infinitely from a point called its

endpoint.

Page 52: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

real number

Any rational or irrational number.

Page 53: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

reciprocal

Multiplicative inverses.

Page 54: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

rational number

Any number that can be represented in

form , where a and b are integers and b

is not 0.

ab

Page 55: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

rectangle

A parallelogram whose angles are all right

angles.

Page 56: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

rectangular

method

A 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.

Page 57: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

rectangular prism

A prism whose bases

are rectangles.

Page 58: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

rectangular

pyramid

A pyramid whose base is a rectangle.

Page 59: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

reference frame

A system of numbers, letter, or words to

show quantities with reference to a zero

point.

number linestime lines calendarsthermometers mapscoordinate systems

Page 60: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

reflection

"Flipping" a picture or object so that its

image is the mirror opposite of the

original (preimage).

Page 61: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

reflex angle

angle whose measure is

between 180° and 360°.

Page 62: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

reflection symbol

A symbol used to express the

association between two quantities.

= 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 to

Page 63: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

regular polygon

A convex polygon in which all the sides are the same length and all

the angles have the same measure.

Page 64: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

regular polygon

A polygon whose sides are all the

same.

Page 65: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

regular polyhedr

on

A polyhedron with all faces the same shape and same size. There

are five regular polyhedrons.

Page 66: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

regular polyhedro

n

A polyhedron whose faces are all congruent regular polygons and

with the same number of faces meeting at

every vertex.

Page 67: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

relation symbol

A symbol used to express a

relationship between two quantities.

><=

Page 68: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

remainder

The amount left over when things are divided into equal shares.

remainder

Page 69: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

repeating decimal

Decimals that continue a

pattern without end.

.333… 1 3

= .30

Page 70: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

rhombus

A parallelogram with sides that are all the same

length.

Page 71: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

right angle

A square corner; a 90 angle.

o

90

o

Page 72: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

right triangle

A triangle that has a

right angle.

Page 73: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

rotation

A turn around a center point or

axis.

Page 74: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

rote counting

Reciting numbers in order from memory.

Page 75: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

rotation symmetry

Property 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.

Page 76: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

round

To express a number in a

simplified way.

about 20 units

about 2 lb

about 10C

Page 77: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

rounding

Replacing a number with a nearby number that is easier to work with or

better reflects the precision of the date.

about 20 units

about 2 lb

about 10C

Page 78: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

round

Circle shape.

Page 79: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

row

A horizontal arrangement of

objects or numbers in an array or

table.

Page 80: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

rule table

A table for displaying the

input output and the role for a

function.

in out 2 5 4 7 ? 9 12 ?100 103

Page 81: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

sample

A subset of a population used to

represent the whole population.

Page 82: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

scale

The ratio of the distance on a map, globe, or drawing

to the actual distance.

Page 83: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

scale drawing

An accurate picture of an

object in which all parts are drawn to

the same scale.

Page 84: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

scale factor

A number that names "how many times as

many?" or "what fraction of?" one

quantity is of another quantity.

Page 85: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

scalene triangle

A triangle in which no sides are the same

length.

Page 86: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

scientific notation

A 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.

4,000,000 in scientific notation

is 4 x 100.00001 in scientific notation

is 1 x 10

6

-6

Page 87: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

scroll

A roll of paper with words and/or pictures

written on it.

Page 88: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

set

A collection or group of objects, numbers or other

items.

( 23, 44, 56, 88 )

Page 89: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

sector

A region bound by an arc and two radii of a circle.

Page 90: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

semicircle

Half of a circle; either of two parts of a circle

between (and including) the endpoints of a

diameter.

Page 91: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

Sieve of Eratosthene

s

A method credited to the mathematician

Eratosthenes (about 200 B.C.) for identifying

prime numbers.

Page 92: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

significant figure

In a count or measurement, digits

that reflect the precision of the

result.

Page 93: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

similar figures

Figures that have the same shape but are not necessarily the

same size.

Page 94: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

simplest form

A fraction in which the numerator and the

dominator have no common factor except 1 and the

numerator is less than the denominator.

Page 95: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

simplify an

expression

To rewrite the expression by

removing parentheses and combining like

terms.

7y + 4 +5 + 3y10y + 9

3(2y + 5) – y5y + 15

Page 96: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

skip counting

Counting by a specified added amount from a

specified starting number.

Page 97: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

side

Any line segment that makes up a

polygon.

Page 98: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

slate

Lap board used to

write on.

2+2 4

Page 99: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

speed

A rate that compares distance traveled with the

time taken to travel that distance.

Page 100: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

sphere

A 3-dimensional shape whose

curved surface is a given distance from

its center point.

Page 101: Partial-differences method A way to subtract in which differences are computed separately for each place (ones, tens, hundreds, and so on). The partial.

sphere

The set of all points in space that are a given distance (the radius of

the sphere) from a given point (center of the

sphere).