PK-Connect number to PK-Compare numbers
quantity
PK-Understand
addition as putting
together and adding
to, and understand
subtraction as taking
apart and taking from
PK-Know number
names and the count
sequence
K- Know number
names and the count
sequence
K- Count to tell the
number of objects
K- Compare numbers
K- Understand
addition as putting
together and adding
to, and understand
subtraction as taking
apart and taking from
K- Work with numbers
11-19 to gain
foundations for place
value
1- Represent and solve
problems involving
addition and
subtraction
1- Work with addition
and subtraction
equations
1- Understand and
apply properties of
operations and the
relationship between
addition and
subtraction
1- Extend the counting 1- Understand place
sequence
value
1- Add and subtract
within 20
1- Use place value
understanding and
properties of
operations to add and
subtract
1- Measure lengths
indirectly and by
iterating length units
2-Represent and solve 2- Add and subtract
problems involving
within 20
addition and
subtraction
2- Understand place
value
2- Use place value
understanding and
properties of
operations to add and
subtract
2- Measure and
estimate lengths in
standard units
2- Relate addition and
subtraction to length
PK- Describe and
compare measurable
attributes
PK-Classify and sort
categories and count
numbers in each
category
PK- Explore and
describe spatial
relationships and
shapes
K- Describe and
compare measurable
attributes
K- Classify objects and
count the number of
objects in each
category
K- Identify and
describe shapes
K- Analyze, compare,
create, and compose
shapes
1-Tell and write time
1- Represent and
interpret data
1- Reason with shapes 2- Work with time and 2- Represent and
and their attributes
money
interpret data
2-Work with equal
groups of objects to
gain foundations for
multiplication
2- Reason with shapes
and their attributes
3- Represent & solve
problems involving
multiplication and
division
3- Understand
properties of
multiplication and the
relationship between
multiplication and
division
3- Multiply & divide
within 100
3- Solve problems
involving the four
operations, and
identify & explain
patterns in arithmetic
3- Develop
understanding of
fractions as numbers
3- Solve problems
involving
measurement and
estimation of intervals
of time, liquid
volumes, & masses of
objects
3- Geometric
measurement:
understand concepts
of area and relate area
to multiplication and
to addition
4- Use the four
operations with whole
numbers to solve
problems
4- Generalize place
value understanding
for multi-digit whole
numbers
4- Use place value
understanding and
properties of
operations to perform
multi-digit arithmetic
4- Extend
understanding of
fraction equivalence
and ordering
4- Build fractions from
unit fractions by
applying and
extending previous
understandings of
operations
4- Understand decimal 5- Understand the
notation for fractions, place value system
and compare decimal
fractions
5- Perform operations
with multi-digit whole
numbers and decimals
to hundredths
5- Use equivalent
fractions as a strategy
to add and subtract
fractions
5- Apply and extend
previous
understandings of
multiplication and
division to multiply
and divide fractions
5- Graph points in the
coordinate plane to
solve real-world and
mathematical
problems
3- Represent and
interpret data
4- Gain familiarity
with factors and
multiples
4- Generate and
analyze patterns
3- Geometric
measurement:
recognize perimeter as
an attribute of plane
figures and distinguish
between linear and
area measures
5- Geometric
measurement:
understand concepts
of volume and relate
volume to
multiplication and to
addition
3-Reason with shapes
and their attributes
4-Solve problems
4- Represent and
involving
interpret data
measurement and
conversion of
measurements from a
larger unit to a smaller
unit
4-Geometric
measurement:
understand concepts
of angle and measure
angles.
4-Draw and identify
lines and angles, and
classify shapes by
properties of their
lines and angles
5- Write and interpret 5- Analyze patterns
numerical expressions and relationships
5- Convert like
measurement units
within a given
measurement system
5- Represent and
interpret data
5-Classify twodimensional figures
into categories based
on their properties
3-Use place value
understanding and
properties of
operations to perform
multi-digit arithmetic
6- Apply and extend
previous
understandings of
multiplication and
division to divide
fractions by fractions
6- Apply and extend
previous
understandings of
numbers to the system
of rational numbers
6- Understand ratio
concepts and use ratio
reasoning to solve
problems
6- Apply and extend
previous
understandings of
arithmetic to algebraic
expressions
6- Reason about and
solve one-variable
equations and
inequalities
6- Represent and
analyze quantitative
relationships between
dependent and
independent variables
7- Apply and extend
previous
understanding of
operations with
fractions to add,
subtract, multiply, and
divide rational
numbers
8- Work with radical
and integer exponents
7- Analyze
proportional
relationship and use
them to solve realworld and
mathematical
problems
7- Use properties of
7- Solve real-life and
operations to generate mathematical
equivalent expressions problems using
numerical and
algebraic expressions
and equations
8- Understand the
connections between
proportional
relationships, lines,
and linear equations
8- Analyze and solve
linear equations and
pairs of simultaneous
linear equations
8- Define, evaluate,
8- Use functions to
and compare functions model relationships
between quantities.
6-Solve real-world and
mathematical
problems involving
area, surface area, and
volume
6- Compute fluently
with multi-digit
numbers and find
common factors and
multiples
6- Develop
understanding of
statistical variability
6- Summarize and
describe distributions
7-Draw, construct and
describe geometrical
figures and describe
the relationships
between them
7- Solve real-life and
mathematical
problems involving
angle measure, area,
surface area, and
volume
7- Understand random
sampling to draw on
inferences about a
population
7- Draw informal
comparative
inferences about two
populations
7- Investigate chance
processes and
develop, use, and
evaluate probability
models
8- Understand
congruence and
similarity using
physical models,
transparencies, or
geometry software
8- Understand and
8-Solve real-word and
apply the Pythagorean mathematical
theorem
problems involving
volume of cylinders,
cones and spheres
8- Investigate patterns
of association in
bivariate data
A1- Use properties of
rational and irrational
numbers
A1-Reason
quantitatively and use
units to solve
problems
A1- Interpret the
structure of
expressions
A1- Write expressions
in equivalent forms to
solve problems
A1- Perform
arithmetic operations
on polynomials
A1- Understand the
relationship between
zeros and factors of
polynomials
A1- Create equations
that describe the
numbers or
relationships
A1-Understand
solving equations as a
process of reasoning
and explain the
reasoning
A1- Solve equations
A1- Solve systems of
and inequalities in one equations
variable
A1- Represent and
solve equations and
inequalities
graphically
A1- Understand the
concept of a function
and use function
notation
A1- Interpret
functions that arise in
applications in terms
of the context
A1-Build a function
that models a
relationship between
two quantities
A1- Build new
functions from
existing functions
A1- Analyze functions
using different
representations
A1- Construct and
compare linear,
quadratic, and
exponential models
and solve problems
A1- Interpret
expressions for
functions in terms of
the situation they
model
A1-Summarize,
represent, and
interpret data on a
single count or
measurement variable
A1- Summarize,
represent, and
interpret data on two
categorical and
quantitative variables
A1-Interpret linear
models
A2- Extend the
properties of
exponents to rational
exponents
A2- Reason
quantitatively and use
units to solve
problems
A2- Perform
arithmetic operations
with complex numbers
A2- Use complex
numbers in
polynomial identities
and equations
A2- Interpret the
structure of
expressions
A2-Write expressions
in equivalent forms to
solve problems
A2-Undersand the
relationship between
zeros and factors of
polynomials
A2- Use polynomial
identities to solve
problems
A2- Rewrite rational
expressions
A2- Create equations
A2-Understand
that describe numbers solving equations as a
or relationships
process of reasoning
and explain the
reasoning
A2-Solve equations
A2- Solve systems of
and inequalities in one equations
variable
A2- Represent and
solve equations and
inequalities
graphically
A2- Understand the
concept of a function
and use function
notation
A2- Interpret
functions that arise in
applications in terms
of the context
A2- Analyze functions
using different
representations
A2-Build a function
that models a
relationship between
two quantities
A2- Build new
functions from
existing functions
A2- Construct and
compare linear,
quadratic, and
exponential models
and solve problems
A2-Interpret
expressions for
functions in terms of
the situation they
model
A2- Extend the domain
of trigonometric
functions using the
unit circle
A2- Model periodic
phenomena with
trigonometric
functions
A2-Prove and apply
trigonometric
identities
A2- Translate between
the geometric
description and the
equation for a conic
section
A2- Summarize,
represent, and
interpret data on a
single count or
measurement variable
A2- Summarize,
represent, and
interpret data on two
categorical and
quantitative variables
A2- Understand and
evaluate random
processes underlying
statistical experiments
A2- Make inferences
and justify conclusions
from sample surveys,
experiments and
observational studies
A2- Understand
independence and
conditional probability
and use them to
interpret data
A2- Use the rules of
probability to compute
probabilities of
compound events in a
uniform probability
model
G-Experiment with
G- Understand
G- Prove geometric
transformations in the congruence in terms of theorems
plane
rigid motions
G- Make geometric
constructions
G- Understand
similarity in terms of
similarity
transformations
G- Define
trigonometric ratios
and solve problems
involving right
triangles
G- Understand and
apply theorems about
circles
G- Use coordinates to
prove simple
geometric theorems
algebraically
G- Explain volume
formulas and use them
to solve problems
G- Prove theorems
using similarity
G- Find arc lengths
G- Translate between
and areas of sectors of the geometric
circles
description and the
equation of a conic
section
G- Visualize
G- Apply geometric
relationships between concepts in modeling
two-dimensional and situations
three-dimensional
objects