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Data, Statistics, & Probability
analyze data
bar graph
box and whisker plots
calculate expected values
central tendency (mean, median, mode)
circle graphs
collecting data
combinations and permutations
comparisons and inferences
concrete materials
conducting a sample space
create problems
determine probability of outcome/possible
outcomes for given situation
displaying data
experimental data
experimental probability
faulty arguments, common errors, misleading
presentations
gather data
graphing
histograms
independent and dependent events
interpret data
line graph
matrices
measure of certainty
money
numerical data
organize data
outliers
picture graph
predictions and conclusions
probability as "chance"
probability as a ratio, decimal, or percent
probability of simple or compound event
problem solving
random processes
range (dispersion)
ratio, decimal, percent, and proportion
represent data
sample surveys
scale increments
scatter plots
sets of data
single count or measurement variable
statistical data
stem and leaf plots
tables
theoretical probability
tree diagrams
venn diagrams
K
1
2
3
4
5
6
Pre7 Algebra
Algebra IA Algebra IB Algebra I
Algebra II
Geometry
Integrated
College PreMath
Algebra III Calculus
Calculus
Algebraic Concepts, Reasoning, and Patterns
absolute value equations and inequalities
algebraic expressions and equations
arithemetic and geometric sequences
associative property
coefficient
commutative property
compare linear, quadratic,a nd exonential
models and solve problems
composition of multiple functions
connections between any two representations
convert between a graph, a table, and symbolic
form with functions
convert functions
coordinates of a point
dependent and independent variable
distributive property
division
domain or range values for linear functions
domain or range values for linear functions
equality relationships
equation of a line
equations of linear functions
equivalent expressions
evaluate and compare functions
exponents
factor pairs
formulas for surface area and volume of objects
function table
functions
geometric shape and concrete object patterns
graph linear functions and linear inequalitites in
two variables
graph solutions to inequalities on number line
graphing inequalities
graphing linear equations
graphs
identify, extend, and create patterns
identity property
inverse of a function
inverse properties
inverse relationship between exponential and
logarithmic functions and use this relationship to
solve problems
inverse variation
law of sines and law of cosines
linear and quadratic functions
linear relationships
literal equations (formulas)
mathematical relationships using equation
mathematical sentence
missing dimension
K
1
2
3
4
5
6
Pre7 Algebra
Algebra IA Algebra IB Algebra I
Algebra II
Geometry
Integrated
College PreMath
Algebra III Calculus
Calculus
missing elements
multiplication
multiplicative property of zero
multi-step linear equations
non-linear systems
numerical patterns
numerical sentences
one and two step linear equations
one- step linear equations
one-step inequalities
perfect squares
perimeter and area
polynomial identities
polynomials
problem solving
problem solving with patterns
properites of isosceles triangles
properties of operations
properties of parallel and perpendicular
proportional relationships, lines, and linear
equations
Pythagorean Theorem and its converse
quadratic equations
radical expressions with rational exponents
rational expressions and equations
ratios and proportions
represent verbal quantitative situations
algebraically and evalutate them
representations of functions and convert
between a graph, table, and symbolic form
right triangle trigonometry
right triangles; problem solving
rules
scientific notation
shape of polynomial, exponential, and lgarithmic
functions- use in graph and problem solving
simultaneous linear equations
single matrix equation with a vector variable
solve problems involving patterns
solve problems using logical reasoning
solve problems using ratio and proportions
solve problems using systems of linear
inequalitiies and linear programming
solve system using inverse matrix method
sort and classify
special right triangles
square roots
story problems
tables
two-step linear inequalities
use formulas for finding distance, midpoint, and
slope to solve problems
use graphs to explain relationships between the
solution of an equation, zero of a function, xintercept of a graph, and factors of a polynomial
expression
value of a function
variable expressions
variables
visual patterns
Computations
absolute value
addition
algorithms
associative property
commutative property
complex fractions
complex numbers
complex plain
coordinates of a point
decimals
develop and analyze algorithms for computing
with fractions, decimals, and intergers and
develop fluency in their use
division
equation of a line
estimation
find missing dimension
formulas for distance, midpoint, and slope
formulas for surface area dn volume of 3D
objects
fractions
fractions- like and/or unlike denominators
fractions-equivalent
integral exponents
inverse operations
law of cosines
law of sines
laws of exponents
matrices
matrix multiplication
mental math
mixed numbers
multiplication
multi-step ratio and percent problems
multi-step word problems
order of operations
percent increase or decrease
perfect square
perimeter and area of 2D figures
problem solving
properties of isosceles triangles
properties of parallel and perpindicular lines
Pytagorean Theorem
radical form
rational exponents
rational expressions
rational numbers
regrouping
right trianles
scientific notation
simplest form
solve problems with whole numbers, integers,
fractions, mixed numbers with like and un-like
denominators, decimals, and answers in
simplest form
square root
subtraction
symbolic notation
triangle trigonometry
variables
vectors
K
1
2
3
4
5
6
Pre7 Algebra
Algebra IA Algebra IB Algebra I
Algebra II
Integrated
Geometry Math
College PreAlgebra III Calculus
Calculus
Geometry & Measurement
K
angles
apply geometric ideas and relationships in areas
outside math classroom
area
asymptotes
bisectors
calendar
capacity
chord
circles and rectangles
circumference
classify and draw angles
combining and subdividing shapes
comparing value
congruency
conic sections from equations
consecutive sides
conversion of measurement
coordinate grid
coordinate plane
coordinate proofs
customary and metric measurement
diagonals
diameter
domain of trigonometry functions using unit
circle
drawing shapes
elapsed time
estimation
factorization
flat congruent figures
flat shapes
geometric constructions
geometric transformations
graphing
identifying zeros
length
line segments
lines (includes parallel, intersection,
perpendicular)
location of shapes in space
measures angles
money
non standard units of measurement
ordered pair
parallel and perpendicular lines
perimeter
periodic phenomena with trigonometric
functions
pictoral models/representations
plane figures
points
polygons
problem solving
proofs
pythagorean identity and use to find sine,
cosine, and tangent.
pythagorean theorem
1
2
3
4
5
6
Pre7 Algebra
Algebra IA Algebra IB Algebra I
Algebra II
Geometry
Integrated
College PreMath
Algebra III Calculus
Calculus
quadrants/quadrant plane
quadrilaterals
radius
rational functions
ratios and proportions
rays
recognizing shapes
scale drawings
secants
similar figures
solid shapes/ figures
solve simple equations for unknown angle
standard units of measurement
supplementary, complementary, vertical, ajacent
angles
surface area
symmetry
tangents
temperature
time
tools of measurement
triangle inequality properties
triangles
trigonometric identities
two and three dimensional shapes/ objects
use of ruler
vectors
vertices
volume
volume formulas
weight
Data, Statistics, & Probability
analyze data
bar graph
box and whisker plots
calculate expected values
central tendency (mean, median, mode)
circle graphs
collecting data
combinations and permutations
comparisons and inferences
concrete materials
conducting a sample space
create problems
determine probability of outcome/possible
outcomes for given situation
displaying data
experimental data
experimental probability
faulty arguments, common errors, misleading
presentations
gather data
graphing
histograms
independent and dependent events
interpret data
line graph
matrices
measure of certainty
money
numerical data
organize data
outliers
picture graph
predictions and conclusions
probability as "chance"
probability as a ratio, decimal, or percent
probability of simple or compound event
problem solving
random processes
range (dispersion)
ratio, decimal, percent, and proportion
represent data
sample surveys
scale increments
scatter plots
sets of data
single count or measurement variable
statistical data
stem and leaf plots
tables
theoretical probability
tree diagrams
venn diagrams
K
1
2
3
4
5
6
Pre7 Algebra
Algebra IA Algebra IB Algebra I
Algebra II
Geometry
Integrated
College PreMath
Algebra III Calculus
Calculus
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