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Praxis 5901, Subtest 5903, Section Numbers and Operations > Manipulatives, Adding & Multiplying using Visual Models, Order of Operations, Properties of Operations, Opposites & Reciprocals > Flashcards

Manipulatives, Adding & Multiplying using Visual Models, Order of Operations, Properties of Operations, Opposites & Reciprocals Flashcards

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1
Q

Attribute Blocks

A

come in five different geometric shapes with different colors. Can be sued for sorting, patterns, and teaching attributes of geometric figures

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2
Q

What shapes do attribute blocks come in?

A

circle, square, rectangle, triangle, hexagon

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3
Q

Base-10 Blocks

A

Visual models in powers of 10 that represents ones, tens, hundreds, and thousands. These blocks can be used to teach place value, regrouping with addition or subtraction, fractions, decimals, percents, and area and volume

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4
Q

Bar Diagrams

A

used to represent parts and whole and are often used with finding a missing value in a number sentence (e.g., 5+?=12).

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5
Q

Counters

A

come in different shapes and colors (e.g., bears, bugs, chips) and are used for sorting and counting

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6
Q

Geoboards

A

pegboard grids on which students stretch rubber bands to make geometric shapes. They are used to teach basic shapes, symmetry, congruency, perimeter, and area

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7
Q

Fraction Strips

A

Help to show the relationship between the numerator and denominator of a fraction and how parts relate to a whole

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8
Q

Numerator

A

top number of a fraction

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9
Q

Denominator

A

bottom number of a fraction

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10
Q

Snap Cubes

A

cubes that come in various colors that can be snapped together from any face. Snap cubes can be used to teach number sense, basic operations, counting, patterns, and place value

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11
Q

Tiles

A

1 inch squares that come in different colors. Some more common skill tiles can be used to teach including counting, estimating, place value, multiplication, fractions, and probability

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12
Q

Polynomials

A

algebraic expressions that consist of variables and coefficients

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13
Q

Operator

A

+,-,x,÷

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14
Q

Variables

A

a letter that represents an unknown number

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15
Q

Coefficient

A

a number that multiplies a variable

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16
Q

Array

A

puts groups into organized lines, preparing students for additional math topics such as area.

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17
Q

Identify the P in PEMDAS

A

Parenthesis

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18
Q

Order of Operations: Parenthesis

A

includes all grouping symbols, which may include brackets [].

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19
Q

Identify the E in PEMDAS

A

Exponents

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20
Q

Order of Operations: Exponents

A

means anything raised to a power should be simplified after all operations inside of grouping symbols have been simplified

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21
Q

Identify the MD in PEMDAS

A

Multiplication Division

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22
Q

Order of Operations: Multiplication Division

A

essentially the same “type” of operation. Therefore, these operations are performed in order from left to right (whichever comes first), just s you would read a book. ALL multiplication and division should be completed BEFORE any addition or subtraction that is not inside a Parenthesis

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23
Q

Identify the AS in PEMDAS

A

Addition Subtraction

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24
Q

Order of Operations Addition Subtraction

A

essentially the same “type” of operation. these operations are done left to right (whichever comes first). These operations should always come last unless they are inside parenthesis

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25
Q

Find the solution: 1+2(28-12)+2x10

A

1+2(28-12)+2x10
1+2(16)+2x10
1+32+20
33+20
=53

26
Q

7 Examples of common problem solving strategies

A
  • Draw a picture
  • Find a pattern
  • Guess and check
  • Make a chart or table
  • Work the problem backward
  • Act it out
  • Estimating or rounding
27
Q

Commutative Property of Addition Rule

A

a+b=b+a

28
Q

Commutative Property of Addition Description

A

Changing the order of two numbers being added does not change their sum

29
Q

Commutative Property of Multiplication Rule

A

axb=bxa

30
Q

Commutative Property of Multiplication Description

A

Changing the order of two numbers being multiplied does not change their products

31
Q

Associative Property of Addition Rule

A

(a+b)+c=a+(b+c)

32
Q

Associative Property of Addition Description

A

Changing the groupings of the addends does not change their sum

33
Q

Associative Property of Multiplication Rule

A

ax(bxc)=(axb)xc

34
Q

Associative Property of Multiplication Description

A

Changing the grouping of the factors does not change their product

35
Q

Additive Identity Property of 0 Rule

A

a+0=0+a=a

36
Q

Additive Identity Property of 0 Description

A

Adding 0 to a number does not change the value of that number.

37
Q

Multiplicative Identity Property of 1 Rule

A

ax1=1xa=a

38
Q

Multiplicative Identity Property of 1 Description

A

Multiplying a number by one does not change the value of that number

39
Q

Inverse Property of Addition Rule

A

For every a, there exists a number -a such that a+(-a)=(-a)+a=0

40
Q

Inverse Property of Addition Description

A

Adding a number and its opposite results in a sum equal to 0

41
Q

Inverse Property if Multiplication Rule

A

For every a, there exists a number 1/a such that ax1/a=1/axa=a/a=1

42
Q

Inverse Property if Multiplication Description

A

Multiplying a number and its multiplicative inverse results in a product equal to 1

43
Q

Distributive Property of Multiplication over Addition Rule

A

ax(b+c)=axb+axc

44
Q

Distributive Property of Multiplication over Addition Description

A

Multiplying a sum us the same as multiplying each addend by that number, then adding their products

45
Q

Distributive Property of Multiplication over Subtraction Rule

A

ax(b-c)=axb-axc

46
Q

Distributive Property of Multiplication over Subtraction Description

A

Multiplying a difference is the same as multiplying the minuend and subtrahend by that number, then subtracting their products

47
Q

Minuend

A

a quantity or number from which another is to be subtracted.

48
Q

Subtrahend

A

a quantity or number to be subtracted from another

49
Q

What is the opposite of a number

A

the same number with a different sign

50
Q

What is always true about the sum of a number and its opposite?

A

The sum of a number and its opposite equals 0

51
Q

What is the opposite of 5

A

-5

52
Q

What is the opposite of -2

A

2

53
Q

True or False: Zero does not have an opposite

A

True

54
Q

What is a another word for Reciprocal

A

Multiplicative Inverse

55
Q

What is a Reciprocal?

A

What a number is multiplied by to get 1

56
Q

What is the reciprocal of 3

A

1/3

57
Q

What is always true of the product of a number and its reciprocal?

A

The product of a number and its reciprocal is 1

58
Q

Does zero have a reciprocal?

A

No

59
Q

Which of the following is an example of applying the distributive property to the expression 4+14a?
A. 2(2+7a)
B. 2x2=14a
C. 4+(2x7a)
D. 18ax1

A

A

60
Q

Which of the following is an example of the commutative property of addition?
A. (2+x)+3=2+(x+3)
B. 4+(y+w)=4+(w+y)
C. 5a+b+1=5a+b
D. 2(3x+8)-1=6x+16-1

A

B

Praxis 5901, Subtest 5903, Section Numbers and Operations (6 decks)

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