Final Test Flashcards

1
Q

A set

A

a collection of objects that have something in common

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2
Q

A subset

A

a set that is a part of another set.

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3
Q

Ways to describe a set

A
  • using words
  • using a list (sometimes it is impractical to generate)
  • using set builder notation (this can be confusing to generate at the beginning)
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4
Q

Finite Sets

A

the number of elements in a set is a whole number

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5
Q

Infinite Sets

A

There are unlimited numbers of members

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6
Q

Well defined sets

A

no uncertainity as to whether an element belongs to that set or not

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7
Q

Difference Between Equal & Equivalent Sets

A

Equal Sets-same elements. { A, B, C = C, B, A}

Equivalent Sets-same number of elements. ( they can be placed in one-to-one correspondence)

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8
Q

A Venn Diagram

A

is a visual depiction of the similarities and differences between two different sets and its structure allows it to organize a wide variety of information

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9
Q

There are types of subtraction problems

A
  • Separating
  • Comparing
  • Part- Part Whole
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10
Q

What are the properties of addition?

A
  • Identity
  • Commutative
  • Associative
  • Closure (with positive whole numbers)
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11
Q

Properties of Multiplication

A
  • Zero
  • Identity
  • Commutative
  • Associative
  • Distributive
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12
Q

Partitioning

A

Size of the group is unknown

dealing out one by one

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13
Q

Repeated subtraction

A

number of groups is unknown (also referred to as the measurement model)

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14
Q

Multiplication

A

composing (putting together) equal size groups.

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15
Q

Division

A

decomposing (breaking apart)

a “whole” into equal size groups.

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16
Q

An estimate

A

an answer that is close enough to an exact answer to be useable

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17
Q

Closure

A

closing the equation

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18
Q

Associative

A

when the sum is the same

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19
Q

Commutative

A

reverse of where we went

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20
Q

Identity

A

stays the same

21
Q

Common Core

A

stresses math thinking and the precision of language

22
Q

Scope

A

the order of what

23
Q

Curriculum

A

what we are going to talk about (overview)

24
Q

Sequence

A

the order of when

25
Q

Process Standard

A

stays the same (how)

26
Q

Content Standard

A

changes

27
Q

Why do we have Common Core?

A

allows students to move beyond simple arithmetic recall

28
Q

Goals of National Council of Teacher Mathematics (NCTM)

A
  • Addresses specific problems
  • Reason
  • Critical thinking
29
Q

Mathematics

A

the relationship of patterns

30
Q

Problem Solving Strategies

A
  • makes a chart
  • make a guess
  • draws a picture
31
Q

Patterns

A

a unifying theme trying to incorpate skills, concepts and problem solving

32
Q

Polya’s Steps

A
  • understand the problem
  • devise a plan
  • monitor your plan
  • check your work
33
Q

Reasoning

A

making generalizations; mathematical memory

34
Q

Hindi-Arabic

A

from zero to nine

35
Q

Roman Numberals

A
I-1
V-5
X-10
L-50
C-100
D-500
M-1000
36
Q

Algebric Thinking

A

Patterns; Classifications; Functions; Equity; Proportional Reasoning; Relationing; Variables; Expressions

37
Q

Algorithms

A
  • transparent
  • accurate
  • consist way to solve a problem
  • generalized
  • low level of error
38
Q

Algebra

A

generalized Arthemictics; the study of structures

39
Q

Elements

A

one of the things that belong in a set

40
Q

Functions

A

when two sets are related

41
Q

Factors

A

a number that goes into another

42
Q

Greatest Common Factor

A

smaller than either of the numbers

43
Q

Lowest Common Multiple

A

generally greater than either number

44
Q

Prime Numbers

A

only divisible by 1 and itself

45
Q

Composite

A

has more than two factors

46
Q

Integars

A

whole numbers & opposities (include negatives)

47
Q

Mixed numbers

A

contains a whole number and a fraction

48
Q

Rational numbers

A

positive & negative factions and decimals