Math Standards PreK through
8 










PreK 
Kindergarten 
1st Grade 
2nd Grade 
3rd Grade 
4th Grade 
5th Grade 
6th Grade 
7th Grade 
8th Grade 











Counting and Cardinality 
Demonstrates an increasing ability to count in
sequence to 10 and beyond. 
Counts to 100 by ones and tens. Counts forward
beginning from a given number within the known sequence. Writes numbers from
0 to 20. Represents number of object with a written numeral 020. 








Numbers and Operations Base Ten 

Work with numbers 1119 to gain foundations for
place value. 
Reads, writes, and counts to 120, starting from any
number. Represents 10s and 1s in any 2digit number. Compares two 2digit
numbers using symbols. Adds within 100 using place value. Mentally adds and
subtracts 10 to 2digit numbers. 
Reads, writes, counts to 1,000 in different ways.
Represents 100s, 10s, 1s in any 3digit number. Compares two 3digit numbers
using symbols. Adds 2digit numbers using symbols. Adds 2digit whole numbers
fluently. Subtracts 2digit numbers fluently. Mentally adds and subtracts 10
or 100 to 3digit numbers. Adds within 1,000 using place value. 
Demonstates understnading of place value. Adds
3digit whole numbers fluently. Subtract 3digit whole numbers fluently. 
Rounds multidigit whole numbers to any place.
Multiplies two 2digit whole numbers. Divides whole numbers within 1,000,
with remainders. 
Explains patterns in the placement of the decimal
point when a decimal is multiplied or divided by a multiple of 10. Uses whole
number exponents to denote powers of 10. Reads, writes, rounds and compares
decimals to thousandths. Fluently multiplies multidigit whole numbers. Adds,
subtracts, multiplies, divides decimals to hundrths. 



Numbers and Operations Fractions 




Shows and understands fractions represent equal
parts of a whole. Compares fractions by reasoning about their size. 
Adds and subtracts fractions with unlike
denominators. Multiplies a fraction by a whole number. Writes fractions and
decimals to hundreths. 
Adds and subtracts fractions and mixed numbers with
unlike denominators. Solves word problems involving addition and subtraction
of fractions. Rewrites a fraction as a division problem. 



Operations and Algebraic Thinking 
Builds increasing undertanding of directionality,
order and position of objects and words such as up, down, inside, utside,
next to, in front, behnind, on top of, under. Recognizes some basic concepts
of time and sequence, e.g. morning, afternoon, yesterday, today, tomrrow,
before, after. 
I can solve addition and subtraction pronlems within
10, using objects or drawings to represent the problem. 
Solves word problems using addition and subtraction
within 20. Solves turnaround facts. Combines and breaks apart numbers to
solve addition and subtraction problems. Adds and subtracts fluently within
20. 
Solves word problems using addition and subtraction
within 100, adds and subtracts fluently withiin 20. Solves problems using
repeated addition, and to understand addition. 
Multiplies from memory all products of two 1digt
numbers. Divides whole numbers within 100, without remainders. Solves
onestep word problems. Uses equations to solve onestep word problems.
Solves two step word problems. Uses equations to solve twostep problems 
Solves multistep word problems . Finds factors and
multiples in the range of 1100. Use the four operations with whole numbers
to solve problems. 
Uses the order of operations correctly to evaluate
numerical expressions. Analyzes patterns and relationships. 



Measurement and Data 
Mathematical Decision Making: Responds to questions that can be answered with information
gained through data analysis. 
Describes and compares objects with measurable
attributes. Classifies objects and counts the number of objects in each
category. 
Orders, compares, and measures objects. Tells and
writes time in hours and half hours. Represents and interprets data. 
Measures and Explains lengths in standard units.
Tells and writes times to the nearest 5 miinutes, using a.m. and p.m. Solves
problems using money and symbols correctly. Draws and interprets graphs. 
Tells and writes time to the nearest minute.
Measures liquid volumes and masses of objects. Creates scaled graphs to
represent data. Measures length to the nearest 1/4 inch. Measures the area
and perimeter of plane figures. Solve problems involving measurement and
estimation. 
Converts relative sizes of measurement within a
sytem. Applies the area and perimeter formulas for rectangles. Understands
and measures angles. Collects, represents, and interprets data. 
Converts relative sizes of measurement within a
system. Makes a line plot to display a data set of measurement in fractions
of a unit. Calcualtes the volume of a rectangular prism using unit cubes and
a formula. 



Geometry 
Patterns:
Matches and sorts objects. Begins to recognize, copy, extend, and create
simple patterns. 
Correctly names shapes. Describes objects' positions
using terms such as above, below, beside, in front of, behind, and next to.
I can describe, compare, and create shapes. 
Sorts and identifies shapes using attributes. Breaks
shapes into halves and quarters. 
Identifies and draws shapes based on attributes.
Breaks shapes into halves, thirds, and quarters. 
Categorizes shapes and their attributes. 
Draws and identifies lines and angles, and
classifies shapes. 
Graphs points on the coordinate plane. Classifies
twodimensional figures into categories based on their properties. 
Finds the area of polygons, using triangles. Uses
the formula for volume of right rectangular prisms. Finds the surface area of
3D objects. Solve realworld and mathematical problems involving area,
surface area, and volume. 
Draws, constructs, and uses scale drawings to
describe geometrical figures and their relationships. Solves word problems
involving area, surface area, and volume. 
Uses congruence and similarity to solve geometrical
problems. Applies the Pythagoren Theorem to solve mathematical problems. Uses
formulas to find the volumes of cylinders, cones, and spheres. 
Statistics and Probability 







Describes a set of data collected to answer a
statistical question. Can contruct dat into plots on a number line and
summarize statistical landmarks and overall patterns. Develop understanding
of statistical variability. 
Uses random sampling to draw inferences about a
population. Calculates probablilty of simple and compound events. Draw
informal comparative inferences about two populations. 
Models a scatter plot with a linear equation.
Constructs a scatter plot and determines trends with bivariate data. 
Ratios and Proportional Relationships 







Describes a ratio as a relationship between two
quantities. Finds a rate when given a specific ratio. Finds a percentage of a
quantity. 
Simplifies complex fractions. Identifies, represents
and explains proportional relationships using tables, graphs, and equations. 
Functions: Define, evaluate, and compare functions.
Use functions to model relationships between quantities. 
The Number System 







Divides fractions by fractions. Fluently divides
multidigit numbers. Fluently adds, subtracts, multiplies, divides with
decimals. Finds the Greatest Common Factor and Least Common Multiple.
Recognizes opposite signs of numbers as showing places on opposite of 0 or
coordinate on an axis. Orders rational numbers and expresses two numbers in
an equality statement. Shows the absolute value as its distance from zero.
Graphs and analyzes points on the coordinate plane. 
Adds and subtracts rational numbers. Multiplies and
divides rational numbers. Solves word problems using the four operations with
rational numbers. Apply and extend previous understandings of operations with
fractions. 
Uses funtions to model relationships between
quantities. Use rational approximations of irrational numbers to compare the
size of irrational numbers, locate them approximately on a number line
diagram, and estimate the value of expressions. Know that there are numbers
that are not rational, and approximate them by rational numbers. 
Expressions and Equations 







Writes and Evalutates numerical expressions with
exponents and onevariable (including inequalitites. Identifies parts of an
expression using mathematical terms (sum, term, product, factor, quotient,
coefficient) Apply and extend previous understandings of arithmetic to
algebraic expression. 
Factors, expands, and simplifies expressions with
rational coefficients (fractions and decimals) Solves multistep problems
posed with positive and negative rational numbers. Uses variables to write
equations to solve word problems. Uses variables to write inequalitites to
solve word problems. 
Uses properties of exponents to simplify an
expression. Performs operations with numbers expressed in scientific
notation. Uses cslope and the yintercept to write equation of a line. Solves
pairs of simultaneous linear equations. Uses pairs of simultaneous linear
equations to solve word problems. 