Numbers that can be expressed as fractions that do not equal 0. Denoted by Q
Any number that can written as a fraction or a ratio. Rationale's root word "ratio"
Back
Isosceles triangle
Front
Two equal sides and two equal angles
Back
Obtuse triangle
Front
has one angle more than 90 degrees
Back
Reflex angle
Front
angle that is more than 180 degrees
Back
Scalene triangle
Front
No congruent sides
Back
Concrete
Front
Using real objects
Back
Inductive reasoning
Front
When teaching with inductive reasoning, the teacher introduces a concept and the students then make inferences from the data and develop generalizations. For example, the teacher might show several examples of subtraction problems with two places and ask the students to identify the rule. Here the students have to solve the three problems and then make a general rule about fractions and decimals.
Back
Tessellation
Front
Tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps.
Back
Level 1
Front
Recalls information
Facts, definitions, terms
Back
Mean
Front
All numbers added up divided by the amount of numbers
Back
Level 2
Front
Basic application of concepts and skills
Reads and interprets info from a simple graph
Back
Integers
Front
All positive natural numbers, negative natural numbers, and zero
Examples: -1,-1,-3,0,1,2,3
Back
Semi-abstract
Front
Symbols such as tally marks
Back
Supplementary angles
Front
two angles add up to 180 degrees
Back
Acute angle
Front
angle that is less than 90 degrees
Back
Real Numbers
Front
All numbers that can be found on a number line. Example: 5,-17,0.312, 1/2
Back
Deductive reasoning
Front
When a teacher instructs from the general to the specific, she is teaching with deductive reasoning. She would teach the general rules and then have the students apply them to specific problems.
Back
Translation
Front
Same distance, same direction
Back
Right angle
Front
angle that is exactly 90 degrees
Back
Obtuse angle
Front
angle that is greater than 90 degrees but less then 180 degrees
Back
Subitizing
Front
See a small amount of objects and know how many there are without counting
Back
Identity property Addidtive
Front
a+0=a
Back
Scope
Front
Main topics
Back
4^0
Front
Any power raised to the zero power is 1
Back
1^6
Front
One raised to any power is 1
Back
Mode
Front
Most amount of the same number
Back
Semi-concrete
Front
Visual representations or pictures
Back
Transitivity
Front
Whenever an element a is related to an element b, and b is in turn related to an element c, then a is also related to c
Back
Complex number
Front
Denoted by C
Back
Identity property Multiplicative
Front
a X 1=a
Back
Right triangle
Front
Has one 90 degree angle
Back
Reasonableness
Front
Help students decide which operation is necessary to solve a word problem
Back
Inverse property Additive
Front
a+ (-a)=0
Back
Natural numbers
Front
Numbers used for counting
Always start from 1
1,2,3,4,5
Denoted by N
Back
Level 3
Front
Strategic Thinking and Complex reasoning
Requires reasoning
Back
Complementary angles
Front
add up to 90 degrees
Back
Inverse property Multiplication
Front
a X (1/a)=1
Back
7^1
Front
Any number raised to the first number is that number
Back
Abstract
Front
Symbols operations, and numerals to solve
Back
Commutative property Multiplication
Front
ab=ba
Back
Kite
Front
2 congruent
2 consecutive sides
Back
0^6
Front
Zero raised to any power is 0
Back
Commutative property Addition:
Front
a+b=b+a
Back
Median
Front
Middle number, unless, even amount of numbers, add numbers in middle and divide by two
Back
Range
Front
Lowest number subtracted from highest number
Back
Whole numbers
Front
Starts from 0 and includes all natural numbers
Denoted by W
A number with no fractional part or decimal part.
Examples: 0, 1,2,3,4
Back
Reversibility
Front
Counting objects from left to right, then again from right to left. Verify that the number of objects in the set are the same
Back
Level 4
Front
Extended thinking and complex reasoning
Derives mathematical model explaining complex phenomenon or make predictions
Back
Equilateral triangle
Front
Three equal sides and three equal angles
Back
Straight angle
Front
angle that is exactly 180 degrees
Back
Section 2
(50 cards)
Factors
Front
Factors are numbers you can multiply together to get another number: Example: 2 and 3 are factors of 6
Back
Best way to teach place value
Front
Repeating place values
Back
When it comes to multiplication what is not the right method to use when learning multiplication facts?
Front
Memorization
Back
24 oz of hamburger meat makes 8 servings. How much meat makes twenty eight servings?
Front
84oz
Back
Rate
Front
How quickly computations are made
Back
Triangle
Front
3 sides, 3 vertices
Back
Unknown partner problems
Front
One of the partners is not given
Back
What can help students understand multiplying fractions
Front
Area models
Back
Accuracy
Front
Getting the correct answer
Back
Unknown partner: Put together
Front
Unknown Partner: Put Together
Stacy invited 9 girls and some boys to
her party. 16 children were invited in
all. How many boys were invited?
Adding
Back
Teacher buys tablecloth what is is most likely measured answer
Front
24 yards squared
Back
Composite Number. more
Front
A whole number that can be divided evenly by numbers other than 1 or itself. Example: 9 can be divided evenly by 3 (as well as 1 and 9), so 9 is a composite number. But 7 cannot be divided evenly (except by 1 and 7),
Back
Tiling
Front
A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps
Can be used to relate to calculating the area of rectangles wherein a rectangle is divided into unit squares and counted to find the area
Back
Pentagon
Front
5 sides, 5 vertices
Back
Place Value
Front
Back
Volume of rectangular prism
Front
V=length X width X height
Back
Itteration
Front
Repetition
Back
Parity
Front
Parity is a mathematical term that describes the property of an integer's inclusion in one of two categories: even or odd
Back
100,000 best represented by exponent
Front
10^5
Back
Irrational numbers
Front
Real numbers that cannot be written as the ratio of two integers
Back
Regular polygon
Front
A regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length).
Back
Part-part-whole
Front
How numbers can be split into parts.
Back
Hexagon
Front
6 sides, 6 vertices
Back
Rectangle
Front
4 sides, 4 vertices
Back
Polygon
Front
Plane shape (two-dimensional) with straight sides.
Examples include triangles, quadrilaterals, pentagons, hexagons and so on.
Back
Conceptual Understandin
Front
Conceptual understanding is knowing more than isolated facts and methods. The successful student understands mathematical ideas, and has the ability to transfer their knowledge into new situations and apply it to new contexts.
Back
Place value misconceptions
Front
1) Inadequate part-part-whole knowledge for the numbers 0 to 10 and/or an inability to trust the count
2)An inability to recognise 2, 5 and 10 as composite or countable units (often indicated by an inability to count large collections efficiently)
3)Little or no sense of numbers beyond 10 (eg, fourteen is 10 and 4 more
4)A failure to recognise the structural basis for recording 2 digit numbers (eg, sees and reads 64 as "sixty-four", but thinks of this as 60 and 4 without recognising the significance of the 6 as a count of tens, even though they may be able to say how many tens in the tens place)
Back
Face
Front
A face is an individual surface.
Back
Cube root
Front
Cube root of a number x is a number such that a3 = x
Back
Octagon
Front
8 sides, 8 vertices
Back
Vertex
Front
Corner
Back
Quadrilateral
Front
Four sided figure
Back
Set model
Front
Snap cubes, 2 color counters, concrete model
Back
Array
Front
Array is an arrangement of a set of objects organized into equal groups in rows and columns.
An array is a model for multiplication.
Arrays are a good model for teaching area also using squares.
Back
Edge
Front
An edge is a line segment that joins two vertices
Back
Measurement division
Front
Needed when students know how many objects are in each group but do not know how many groups there are
Back
Compensation strategy
.
Front
One number is rounded to simplify the calculation then the answer is adjusted to compensate for the original change
Back
Automaticity
Front
Selecting problem solving methods and performing computations without requiring much time to think the processes through
Back
Grid box of 100 with 12 shaded, what is the number represented?
Front
12%
Back
Circle in a square with the radius of 3 what is the area of the square?
Front
A=πr2
Back
Flexibility
Front
student's ability to recognize strategies necessary to complete a mathematical task, and a student's ability to apply learned strategies to alternative mathematical tasks'.
Back
What strategy is used when making belts and you have 66 inches and you want 22 yards
Front
part measure part divide
Back
Unknown Partner: Take Apart
Front
There were 15 people at the park. 7 were
playing soccer. The others were playing
softball. How many people were playing
softball?
Subtracting
Back
Square
Front
4 sides, 4 vertices
Back
Prime number
Front
A natural number (i.e. 1, 2, 3, 4, 5, 6, etc.) is called a prime number (or a prime) if it has exactly two positive divisors, 1 and the number itself.
Back
Cube
Front
6 congruent sides, 12 edges, 8 vertices
Back
Trapezoid
Front
4-sided flat shape with straight sides that has a pair of opposite sides parallel.
Back
Area
Front
The amount of surface that a shape covers
Back
Multiple
Front
Anumber that can be divided by another number without a remainder.
"15, 20, or any other multiple of five"
Back
Using a times table, what is the teacher testing?
Front
Automaticity
Back
Section 3
(50 cards)
Multiplicative Inverse or Reciprocal.
Front
When the product of two numbers is one, they are called reciprocals or multiplicative inverses of each other.
Back
Divisibility rule for 3
Front
An integer is divisible by 3 if then sum of it's digits are divisible by 3.
Example: 42 is divisible by 3 because 4+2=6, and 6 is divisible by 3
Back
Prime Number
Front
Number that has only 2 factors, the number itself and 1.
Examples: 2,3,7,13
Back
Mixed numbers
Front
There is a whole number and a fraction
Example: 2 2/3, 18 1/8, -9 5/7
Back
Average
Front
The sum of a set of quantities divided by the total number of quantities; also known as mean
Back
Divisibility rule for 9
Front
An integer is divisible by 9 if the sum of the digits is divisible by 9
Example: 297 is divisible by 9 because 2+9+7=18, and 18 is divisible by 9
Back
Improper fraction
Front
The numerator is bigger than or equal to the denominator
Example: 10/3, 8/8, -25/5
Back
Proportion
Front
Number sentence where two ratios are equal.
Back
Divisibility rule for 5
Front
An integer is divisible by 5 if it ends in 0 or 5
Example: 10, 65, 2,320 are all divisible by 5 because they end either 0 or 5
Exactly the same; congruent figures are the same shape and same size
Back
Greatest Common Factor GCF
Front
In a set of numbers, the largest whole numbers that is a factor of all of the given numbers. For example the GCF of 30 and 20 is 10. The largest whole number common factor that divides both numbers evenly.
Back
Subtracting fractions
Front
Denominator must be the same (Find LCM)
Back
Rate
Front
Special kind of ratio where the two amounts being compared have different units.
Back
Webb's Depth of Knowledge: Level Three
Front
Strategic Thinking: Why can the knowledge be used? Why did it happen? How can you use it? Why can you use it?
Back
Cone
Front
A three dimensional shape figure that has one circular base and a separate face that comes to a vertex point; similar to a pyramid, but with a circular base
Back
Webb's Depth of Knowledge: Level Two
Front
Basic application of skills and knowledge: How can the knowledge be used? How does/did it happen? How does/did it work? How is/was it used?
Back
Computation algorithm
Front
A set of predefined steps applicable to a class of problems that gives the correct result in every case when the steps are carried out correctly.
Back
Attributes
Front
Aspects of a shape that are particular to a specific shape
Back
Adding fractions
Front
Denominator must be the same (Find LCM)
Back
Multiples
Front
When we multiply a number by any whole number (that is'nt 0) that is a multiple.
Example: What are the multiples of 4? 4x1=4
4x2=8
4x3=12
4x4=16 (and so on)
The multiples of 4 are 4,8,12, 16
Back
Length
Front
12 inches= 1 foot
3 feet= 1 yard
1760=1 mile
Back
Irrational number
Front
A number that cannot be written as a simple fraction (because the decimal goes on without repeating)
Back
Dilation
Front
Shrinking or expanding of a figure
Back
Absolute value bars
Front
Grouping symbols, you must complete the operation inside them first, then take the absolute value
Example: |5-3|=|2|=2
Back
Divisibility rule for 2
Front
An integer is divisible by 2 if it ends in an even number
Example: 10, 92, 44, 26, and 8 are all divisible by 2 because they end in an even number
Back
Greatest Common Factor (GCF)
Front
Largest factor that both numbers share
Back
Heptagon
Front
7 sided polygon
Back
Positive Numbers
Front
Used to describe quantities greater than zero
Example: 4, +4
Back
Webb's Depth of Knowledge: Level Four
Front
Extended Thinking: What else can be done with the knowledge? What is the impact? What is the relationship?
Back
Webb's Depth of Knowledge: Level One:
Front
Recall and Reproduction; What is the knowledge? Who?, What?, When, Where, How?
Back
Learning progressions
Front
Involve narrative documents describing progressions of a topic across a number of grade levels, which are informed by research on students' cognitive development and logical structure of mathematics. Also, they can be used to explain why standards are sequenced in a given manner, point out cognitive difficulties and pedagogical solutions, and give more detail on particular challenging areas of mathematics.
Back
Least Common Multiple
Front
Smallest multiple that goes into two numbers
Example: What is the LCM of 2 and 5? 10
Back
Set
Front
A set is a real or imagined collection of objects which may or may not be related.
Back
Rhombus
Front
4 sides that are the same length
Back
Divisibility rule for 10
Front
An integer is divisible by 10 if it ends in 0
Example: 50,110, 31,330 are all divisible by 10 because they end in zero
Back
Weight
Front
1 pound= 16oz
1 ton= 2000 pounds
Back
Unit Rate
Front
Rate that has 1 as its denominator. To find a unit rate, set up a ratio as a fraction and then divide the numerator by the denominator
Back
Fractions
Front
Real numbers that represent a part of a whole. A fraction bar separates a part from a whole
Example: Part/Whole The part is the numerator and the whole is the denominator
Back
Opposites of Opposites property
Front
The opposite of -16 is 16. The opposite of 16 is -16
Back
Decagon
Front
Ten sided polygon
Back
Computation strategy
Front
Purposeful manipulations that may be chosen for specific problems, may not have a fixed order, and may be aimed at converting one problem into another
Back
Negative Numbers
Front
Used to describe quantities less than 0
Example: -4
Back
Absolute Value
Front
The distance of the number from zero on the number line. Absolute value is always positive. Absolute value is indicated by |4| two bars placed around the number
Back
Common Factors
Front
Any factors that are the same for 2 or more numbers
Back
Fluency
Front
Ability to recall facts with speed, accuracy, and automaticity
Back
Base Ten
Front
In base 10, each digit in a position of a number can have an integer value ranging from 0 to 9 (10 possibilities). The places or positions of the numbers are based on powers of ten (e.g., hundredths, tenths, tens, hundreds, thousands).
As you move to the right, each place value is one-tenth the place value to the left
Back
Variable
Front
A letter or symbol used in place of a quantity we don't know yet
Back
Proper fraction
Front
The numerator is smaller than the denominator
Example: 5/6, 2/3, 1/1000, -4/27
Back
Section 4
(13 cards)
Distance formula
Front
speed x time= distance
Back
Teacher graphs (5, -4) what is graphed five places above it
Front
(5,1)
Back
5665 yards into feet?
Front
5665 yard /1 = 3ft/1 yard cross multiply. Make sure to cancel out like terms
Back
When multiplying fractions you should use what manipulative?
Front
Area modelsf
Back
Simple Interest formula
Front
I=p x r x t
Back
Geometry is which critical component of the mathematics curriculum?
Front
Content strand
Back
Inverse property of addition adding
Front
equals 0 a+-a=0
Back
Three Basic Number Properties
Front
Distributive property, associative property, and commutative property
Back
Partitive division
Front
- Number of groups is known and you are trying to find the number in each group.
Back
Conceptual understanding
Front
Take numbers apart rearrange and still get the same sum
Back
Inverse bread question
Front
doubles
Back
Person makes 18.50 per hour for 40 hrs. Get 1.5 for every hour overtime if a person works 48 hours how much do they make? highest answer
Front
$1702
Back
Measurement or subtraction concept
Front
Subtracting or measuring off as many sets as possible