Math Flashcards
Divisible by
Means it can be evenly divided without remainder
Place value
Millions
Hundred thousands
Ten thousands
Thousands
Hundreds
Tens
Ones
Distance around and object, add lenght of all sides
Perimeter
Perimeter of a circle is called
Circumference formula = 2piR
Lenght x widht
Area
Area of circle
Pi r 2
Area of a triangle
1/2 (bxh)
Slope intercept form
y= mx+b
How to determine slope
(2,1) and (4,3)
y 3-1=2
x 4-2=2
2/2= 1
All 3 sides have the same lenght and all 3 angles have the same measurement
Equilateral triangle
2 sides have the same lenght and 2 angles have the same measurement
Isosceles triangle
All 3 sides have different lenghts and all 3 angles have different measurements
Scalene triangle
Flat sides of solid figures
box= 6
cone= 1
Faces
2 or more edges come together like a corner
Vertex/ vertices
Are where 2 faces come together or meet
Edges
Turn
Slide
Slip
Rotation
Translation
Reflection
Lines that intersect and form right angles (9’)
Perpendicular lines
Patterns of polygons or shapes that repeat without any spaces or overlaps
Tessellations
Angles exactly 90’
Right angles
Run in the same direction and never intersect
Parallel lines
Angles less than 90’
Acute angles
Angles of a triangle add up to
180’
Angles more tha 90’
Obtuse angles
Sum of 90’
Complimentary angles
Angles of a 4 sided shape add up to
360’
Sum of 180’
Supplementary angles
Probability
total possible outcomes
Single outcome/only one outcome
Simple event
Probability calculated during an experiment
Exprimental probability
2 or more outcomes
Compound event
Number of selected/desired outcomes divided by the total number of outcomes
Theoretical probability
Artifacts in Africa show people attempted to quantify time 20,000 years ago
Prehistoric mathematical
Developed a Mesopotamian (now Iraq) convention of 360’
Babylon mathematics
Used a rod numeral system
Chinese mathematics
Credited with coining the term mathematics which comes from the Ancient Greek. Greek are responsible for what is taught in geometry
Pythagoreans
Replace physical manipulatives with pictures/symbols (pictoral stage)
Representational stage
Follows a pattern
Arithmetic
Follows a formula
Non-arithmetic
Planning the goal/objective then the assessment then the lesson(s)
Backwards planning
Modeling with a physical represention (young)
Concrete stage
Replace symbols with proper numbers and mathematical notations.
Equations / pre-algebra (older)
Abstract stage
Auditory
Hearing
Kinesthetic
Hands-on
Preoperational
2-7 years old
Formal operational
12+ years old
Sensorimotor
Birth - 2 years old
Concrete operational
7-11 years old
Information changes over time
Line graph
Part to whole percentage of types of relationships
Pie graph
Least common factor of two numbers will always be
1
Largest factor that all the numbers share
9: 1, 3, 9
12: 1, 2, 3, 4, 6, 12
=3
Greatest common factor (GCF)
Numbers that can only be divided evenly between 1 and itself
(for example 1 & 5)
Prime number
Smallest in common
3: 3, 6, 9, 12, 15, 18
5: 5, 10, 15, 20
= 15
Least common factor (LCM)
Any real number that cannot be expressed as a fraction, no repeating decimals or terminal decimals, have decimals that do not end and do not repeat
Irrational numbers
Any value that can be represented on a number line, includes rational and irrational numbers
Real numbers
Whole numbers, numbers that are not fractions and do not include decimals, can be positive or negative
Integers
Any number that can be written as a fraction using two integers
Rational number
When you have a term multiplied by terms in a parenthesis, you have to distribute the multiplication over the terms inside the parenthesis
3n(n+5)=3n2+15n
Distributive property
Numbers can be grouped in a product in any way using parenthesis and still get the same result
(3x5)x2=3x(5x2)
Associative property of multiplication
Numbers can be multiplied in any order and the result will remain the same
5nx2=2x5n
Communative property of multiplication
Numbers can be grouped in a sum in any way using parenthesis and still get the same result
(3+1)+2 =3+(1+2)
Associative property of addition
A solution with specific steps you follow. Follow the stepds and you end up with the correct solution
Algorithm
Shows how a student performs relatively to their peers
Norm-referenced test
Numbers can be added in any order without changing the result
5+3=3+5
Communative property of addition
Assess a student´s knowledge of certain skills and criteria
Criterion-referenced test
4th stage of Piaget´s stages of cognitive development
Formal operational stage
11-16 yrs
3rd stage of Piaget´s stages of cognitive development
Concrete operational stage
7-11 yrs
2nd stage of Piaget´s stages of cognitive development
Pre-operational stage
2-7 yrs
Stage 1 of Piaget´s stages of cognitive development
Sensorimotor stage birth
-2 yrs
How to find the median
1- Order numbers low to high
2- Count to see if odd/even
3- Find the middle (if odd)
4- If even, find the pair in the middle, add them together, and divide by 2
How to find the mean
Add all the values in the set and then divide by the total number of values
How to find the mode
Put numbers in order ad find the one that repeats/appears the most
How to find the range
Subtract that lowest value from the highest
Converting % to a ratio
75% to 0.75
0.75 to 75/100 to 3/4
3/4 to 3:4
Categorical data
Bar graph
Converting centimeters to millimeters
Multiply by 10
Converting meters to centimeters
Multiply by 100
Convertgin km to m
Multiply by 1000
Converting ml to liters
Divide by 1000
Converting kg to grams
Multiply by 1000
Converting liters to kiloliters
Divide by 1000
Converting grams to mg
Multiply by 1000
Way to help remember the metric system
Kilo, Hecto, Deca, Unit, Deci, Centi, Milli
Kindergarteners Have Disney Umbrellas During Cloudy Monsoons
Bloom´s Taxonomy
Remember
Understand
Apply
Analyze
Evaluate
Create