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
Process Standard
stays the same (how)
26
Content Standard
changes
27
Why do we have Common Core?
allows students to move beyond simple arithmetic recall
28
Goals of National Council of Teacher Mathematics (NCTM)
- Addresses specific problems - Reason - Critical thinking
29
Mathematics
the relationship of patterns
30
Problem Solving Strategies
- makes a chart - make a guess - draws a picture
31
Patterns
a unifying theme trying to incorpate skills, concepts and problem solving
32
Polya's Steps
- understand the problem - devise a plan - monitor your plan - check your work
33
Reasoning
making generalizations; mathematical memory
34
Hindi-Arabic
from zero to nine
35
Roman Numberals
``` I-1 V-5 X-10 L-50 C-100 D-500 M-1000 ```
36
Algebric Thinking
Patterns; Classifications; Functions; Equity; Proportional Reasoning; Relationing; Variables; Expressions
37
Algorithms
- transparent - accurate - consist way to solve a problem - generalized - low level of error
38
Algebra
generalized Arthemictics; the study of structures
39
Elements
one of the things that belong in a set
40
Functions
when two sets are related
41
Factors
a number that goes into another
42
Greatest Common Factor
smaller than either of the numbers
43
Lowest Common Multiple
generally greater than either number
44
Prime Numbers
only divisible by 1 and itself
45
Composite
has more than two factors
46
Integars
whole numbers & opposities (include negatives)
47
Mixed numbers
contains a whole number and a fraction
48
Rational numbers
positive & negative factions and decimals