SECOND GRADE
The following goals are expected to be secure by the end of Grade 2. Please note that these are secure goals, but they are not the only concepts to which students 
will be exposed at this grade level. Students will have a rich curriculum, and their experiences in math will introduce them to many new concepts that will deepen 
over time. 
 

Number & Operation 
  • Knows easier addition facts with sums to 10 
  • Knows easier subtraction facts with minuend to 10 
  • Knows addition facts with sums to 20 
  • Represents numbers in a variety of ways 
  • Solves simple addition number stories 
  • Adds three one-digit numbers mentally 
  • Reads, writes, and compares whole numbers up to three digits 
  • Constructs fact families for addition and subtraction 
  • Multiplies numbers with 0 and 1 as factors 
Algebra 
  • Identifies and completes number patterns 
  • Finds missing addends for the next multiple of 10 
  • Counts by 2s, 5s, and 10s and describes patterns 
Geometry
  • Identifies two dimensional shapes such as polygons 
Measurement 
  • Demonstrates calendar concepts and skills 
  • Tells time to five-minute intervals 
  • Exchanges pennies, nickels, dimes, and quarters 
  • Uses equivalent coins to show money amounts in different ways 
  • Uses calculator to compute money amounts 
Data Analysis and Probability 
  • Makes tallies and gives totals 
  • Plots data on a bar graph 
  • Compares quantities from a bar graph 

THIRD GRADE
The following goals are expected to be secure by the end of Grade 3. Please note that these are secure goals, but they are not the only concepts to which students 
will be exposed at this grade level. Students will have a rich curriculum, and their experiences in math will introduce them to many new concepts that will 
deepen over time. 

Number & Operation 
  • Knows addition facts through 20 
  • Knows subtraction facts through 20 
  • Reads, writes, and compares whole numbers up to four digits 
  • Identifies place value in whole numbers up to five digits 
  • Completes fact and number families 
  • Adds four-digit numbers with regrouping 
  • Subtracts four-digit numbers with regrouping 
  • Counts by 10s and 100s 
  • Finds equivalent names for numbers 
  • Reads, writes, and compares simple fractions 
  • Understands decimals through hundredths 
Algebra 
Skills developing, but no new secure skills are expected at this time. 

Geometry 
  • Compares attributes of three- and four-sided figures 
  • Identifies symmetric figures and draws lines of symmetry 
Measurement 
  • Measures line segments to the nearest inch and centimeter 
Data Analysis and Probability
  • Reads and interprets line plots, identifying least frequent and most frequent

FOURTH GRADE
The following goals are expected to be secure by the end of Grade 4. Please note that these are secure goals, but they are not the only concepts to which students 
will be exposed at this grade level. Students will have a rich curriculum, and their experiences in math will introduce them to many new concepts that will 
deepen over time.

Number & Operation 
  • Uses addition and subtraction number stories to solve multi-step word problems 
  • Uses multiplication algorithm effectively 
  • Uses division algorithm 
  • Finds equivalent names for numbers 
  • Knows multiplication facts through factors of 10 
  • Knows division facts 
  • Understands the relationship between multiplication and division 
  • Solves multiplication and division number stories 
  • Compares whole numbers to seven digits 
  • Estimates sums 
  • Identifies the whole for fractions 
  • Identifies fractional parts of sets and regions 
  • Uses simple fractions to solve addition and subtraction problems 
  • Renames fractions as decimals or percents 
Algebra 
Skills developing, but no new secure skills are expected at this time. 

Geometry 
  • Draws and measures line segments to nearest inch and centimeter 
  • Draws and identifies reflections, slides, and rotations of figures 
  • Finds area and perimeter 
  • Identifies congruent and similar figures 
Measurement 
  • Uses dollars and cents notation 
Data Analysis and Probability 
  • Identifies maximum and minimum of data