## Counting by 1s, 2s, 3s, 4s, 5s, 6s, 7s, 8s, 9s, 10s, 11s, & 12s

One's (0-50) 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50
One's (51-100) 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100
Two's (0-100) 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100
Three's (0-103) 0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99, 103
Four's (0-100) 0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100
Five's (0-100) 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100
Six's (0-100) 0, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100
Seven's (0-105) 0, 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105
Eight's (0-104) 0, 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104
Nine's (0-108) 0, 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108
Ten's (0-120) 0, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120
Eleven's (0-121) 0, 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121
Twelve's (0-144) 0, 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144

## Vocabulary for Chapter 9 Common Core Math II

Term Definition
Line of Symmetry a line or fold in the image where the two halves match exactly
Reflection a transformation representing a flip of a figure
Isometry when the figure does not change size after a transformation. The preimage and image are congruent. All sides and angle measures are preserved.
Rotation a transformation that turns every point of the preimage through a specified angle and direction about a fixed point called the center of rotation
Transformation maps an initial figure called a preimage onto a final figure called an image (translation, rotation,reflection)
Translation a transformation that moves all points of a figure the same distance in the same direction.
Line of Reflection a shared line of symmetry between the preimage and image
Angle of Rotation Determined by angle formed at center of rotation to a point on the preimage and the corresponding point on the image

## O

I have four sides. My opposite sides are equal. I have 4 right angles. Which shape am I? A rectangle.
I have four sides. I have only 1 pair of paralles sides. Which shape am I? Trapezoid
I have four sides. My opposite sides are parallel and equal. I do not have any right angles. Which shape am I? Paralleogram
I have four sides. I have four right angles. All my sides are equal. Which shape am I? Square
I have three sides. Each side is equal. I have three angles that are all acute. Which type of shape am I? Equaliteral Triangle
I have no flat surfaces. I have no vertices. I have no edges. I can roll. Which shape am I? A circle
I have four sides. All four sides are equal. The four angles are less than 90 degrees. Which shape am I? Rhombus

## Chapters 1-7

absolute deviation the absolute value of the difference of x and a given value
absolute value equation an equation containing an absolute value expression
algebraic expression an expression with at least one variable
base the factor being multiplied in a power
best-fitting line a line that corresponds to a trend in a graphed data set
causation when a strong correlation does not imply cause and effect between paired variables
compound inequality 2 inequalities connected by and or or
compound interest interest earned on an initial investment and previously earned interest modeled by I=PRT
consistent dependent system a linear system with infinity solutions (same line)
consistent independent system a linear system with exactly 1 solution because they are distinct intersecting lines
constant a number
constant of variation the constant k in the direct variation equation, a non-zero constant
converse the statement formed by exchanging the hypothesis and conclusion of a conditional statement- is not necessarily true
cross product finding this is the first step in the preferred method for solving an equation with a ratio equal to a ratio
decay factor 1 – the decay rate is this; this is what decreases exponentially
decay rate r in the exponential decay model; a percent of decreased (which is then subtracted from 1 to make the decay factor)
dependent variable output
direct variation the relationship of 2 variables x and y if there is a nonzero number k such that y=kx (also called directly proportional)
domain the set of x's in a function
elimination/combination linear ______-an equation obtained by adding one equation in a 19 across to another equation in a 19 across- also, one of our methods for solving systems
equivalent equations equations with the same solution, or value
equivalent inequalities two inequalities with the same solutions
exponent represents the number of times the base is multiplied
exponential decay an exponential function when a>0 and 0<b<1, and it decreases exponentially over a time period
exponential function a function in the form y=ab^x that is nonlinear; a does not equal 0, b > 0, and b does not equal 1
exponential growth this is an exponential function where a>0 and b>1, and it increases exponentially over a time period
extrapolation using a line or equation to approximate a value OUTSIDE the range of known values
family of functions functions with graphs with common characterisitics- if in family are transformations of the parent
formula literal equation showing a rule for a certain relation
function a relationship in which each X or input has one corresponding Y or output
function notation a way to define or name a relationship in which each x has exactly one corresponding y: f(x)=y
graph of a system of linear inequalities a graph showing all solutions in the system
graph of an inequality a set of points which represent all solutions of an inequality on a number line
graph of an inequality in 2 variables a set of points which represent all solutions of an inequality on a coordinate plane
growth factor one plus the growth rate is this; this is what grows exponentially
growth rate r in the exponential growth model; a percent of increase (which is then added to 1 to make the growth factor)
half-plane in a coordinate plane, the region of each side of a boundary line
identity an equation that IS true for all values of the variable
inconsistent system a linear system that has no solution (parallel lines)
independent variable input
interpolation using a line or equation to approximate a value BETWEEN two known values
inverse operations two operations that undo each other
irrational number a number that cannot be written as a quotient of two integers that is a non-terminating, non-repeating decimal
line of fit a line used to model the trend in data on a scatter plot
linear equation an equation whose graph is a line
linear function a function you can write as y=mx+b and its graph is a line
linear inequality in 2 variables an equation that can be written as y is less than, greater than, less than or equal to, greater than or equal to, or not equal to mx+b
linear regression the statistical process of finding the best-fitting line to model a data set
literal equation an equation in which the coefficients and constants have been replaced by letters
negative correlation a correlation where y tends to decrease as x increases
negative exponent when a base is raised to a negative power, it is equivalent to the reciprocal (a^-n = 1/a^n) when the base isn't zero
open sentence an equation or inequality containing an algebraic expression
order of magnitude this is the power of ten nearest to a given quantity often used to estimate or roughly calculate
order of operations the established procedure for evaluating expressions with more than one operation
parallel two lines are this if their ratios of rise to run are equivalent
parent linear function the original and simplest line in the family of linear functions
perfect square a number multiplied by itself- one of the numbers 1, 4, 9, 16, 25 …
perpendicular two lines are this if their ratios of rise to run are opposite reciprocals
point-slope form y-y1 = m(x-x1) where point is (x1, y1) and slope is m
positive correlation a correlation where y tends to increase as x increases
power an expression that represents repeated multiplication of the same factor
precision how much detail an instrument or tool is capable of measuring
proportion an equation in which a fraction is set equal to a fraction
quadrant one of the four regions of the coordinate plane (divided by axes)
radicand number underneath radical symbol, or sign showing the square root of the number underneath it; the thing you're finding the square root of
range the set of y's in a function
rate ratio comparing two amounts with different units
rate of change a comparison of 2 different quantities that are changing; a ratio to compare the dependent variable change to the independent variable change
ratio a description of a relationship between two quantities
real numbers one of the set of numbers that includes those that can be written as a fraction and those that cannot be written as a fraction
relation any collection of ordered pairs (x,y)
relatively no correlation when x and y points on a scatter plot have no apparent relationship
scale the ratio of the length in a drawing to the actual object's length
scale drawing a drawing using a scale to make a smaller or larger representation of an original object
scale model a 3D model using a scale to make a smaller or larger representation of an original object
scatter plot a graph of pairs of numbers (x,y) that represent real life quantities
slope ratio of rise to run- the number of units a nonvertical line rises compared to the number of units it runs (slantiness of a line)
slope-intercept form y=mx+b, a line m=slope and b=y int
solution of a system of linear equations an ordered pair that works in each/ALL equation(s) in the system
solution of a system of linear inequalities an ordered pair that works in each inequality in the system
solution of an inequality in 2 variables an x and y ordered pair that produces a true statement when substituted into an inequality
square root when you multiply a number by itself once to get a product, the number is the ___________ of that product
standard form Ax+By=C
substitution linear ______- one of our methods for solving systems where one equation set equal to a variable is substituted into the other equation
system of linear equations a system or set of equations which are all linear in the same variables
system of linear inequalities two or more inequalities with the same variables (like a set)
unit rate a comparison of two quantities with a denominator of one
variable a letter used to represent one or more numbers or a changing quantity
verbal model using words, labels, and math symbols to describe a real life situation
x-intercept where a line intersects the x-axis on the graph
y-intercept where a line crosses the y-axis on the graph
zero exponent when a base is raised to the zero power, the answer is always 1 (when the base isn't zero)
zero of a function for the function f, any value x so that f(x) = 0
so, it is an x-intercept of the function's graph #

## Key terms from the TEKS in Category 2

Term Definition
Attributes A quality or feature regarded as a characteristic of something; A property
Linear function An equation that makes a straight line when graphed; Possesses a constant rate of change or slope
Quadratic function An equation where the highest exponent of the variable (usually x) is squared (power of 2)
Parent function A basic function that is the building block form more complicated functions (y = x; y = x^2)
Domain The values that go INTO a function (x values)
Range The output values of a function (y values)
Continuous Data Data that can be any value (Ex: A person's height can be any positive real number)
Discrete Data Data that can only have certain values (Ex: The number of students can only be positive whole numbers – can have 1/2 a student or negative students)
Scatter Plot A graph of plotted points that show the relationship between two sets of data
Positive Correlation When BOTH the x values and the y values INCREASE
Negative Correlation When the x values increase, the y values decrease
No Correlation When no relationship exists between the data sets
Line of Best Fit The line closest as possible to all points in a data set

## Dependent and independent variables/functions/functional notation

independent variable variable to which we assign the value
True/ False

x will almost always be the independent variable

true
Function (2nd definition) A function is a set of ordered pairs in which no two pairs have the same first element and different second elements.
True/ False

A domain does not have to be specified or implied

false

## Statistics and Probability

Term Definition
interval the equal parts a scale is divided into on a graph
measure of central tendency numbers or pieces of data that can represent or summarize a whole set of data, such as mean, median, and mode
outlier a number that is considered "extreme" for a set of data, and is very separated from the rest of the numbers.
scale the set of numbers used to label an axis when graphing; must include the least and the greatest numbers in a number set
statistics the study of this topic deals with collecting, organizing, and interpreting data.
complementary events two events are complements if the sum of their probabilities is one.
composite events an event consisting of two or more simple events
experimental probability the ratio of the number of favorable results to the total number of trials in an experiment
Fundamental Counting Principle multiplying the number of ways each event in an experiment can occur to find the total number of possible outcomes in a sample space
independent event two or more events in which the outcome of one event does not affect the outcome of the other event.
sample space the set of all possible outcomes of a probability event
theoretical probability the ratio of the number of favorable outcomes to the total number of possible outcomes; is based on what should happen under perfect circumstances.
evaluate to calculate a numerical value for a mathematical expression
infer to draw a conclusion on the basis of evidence or reasoning
summarize to make a shortened version of something that has been said, or written by focusing on the stating of the main points.

## Dozdot vrne,naseto znaenje raste

X 7 = 21 x=21:7 x= 3
4 ·X = 36 x=36 :4 x=9
X : 7 = 8 x=56
X: 5= 3 x = 15
54 : X = 9 x =6
63 : X = 7 x = 9
Êîëè÷íèêîò íà áðîåâèòå 63 è 9, çãîëåìè ãî ñî ïðîèçâîäîò íà áðîåâèòå 9 è 7! 63:9 + 9 x 7=7 + 63=70
Âî åäíà êîðïà èìà 16 áîíáîíè. Îä íèâ åäíà ïîëîâèíà ñå îä ïîðòîêàë, åäíà ÷åòâðòèíà ñå îä ¼àãîäà è åäíà îñìèíà ñå ìåíòîë áîíáîíè.Ïî êîëêó áîíáîíè èìà îä ñåêî¼ âèä? 16:2=8 16:4=4 16:8=2
Ïðîèçâîäîò íà áðîåâèòå 3 è 8 íàìàëè ãî 4 ïàòè! 3×8 :4=24:4 =6

4+0= 4
0+2= 2
5+0= 5
0+6= 6
7+0= 7
1+0= 1
0+3= 3

## spelling words

scrutinize examine or inspect.
vigilance the action or state of keeping careful watvh for possible danger or difficulties.
epipen an epinephrine aute injecteris a medical device used to deliver a measured dose or doses of epinephrine.
pathogen a bacterium,virus or other microorgansms that can cause a disease.
immune resistant to a piticular infection or toxin owing to the presence of specific antibodies or sensitized white blood cells.
inflection the process of infecting or the state of being affected.
particles a minute portion of matter.
allergen a substance that causes an allergic reaction.
comprises consist of or,made up of.
anaphylaxis an acute allergic reaction to an antigen to which the body has become hypersensitive.