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Common Core Mapping for Grade 2

In Grade 2, instructional time should focus on four critical areas:
(1) extending understanding of base-ten notation
(2) building fluency with addition and subtraction
(3) using standard units of measure
(4) describing and analyzing shapes.
Related Topics:
Common Core for Mathematics, Common Core Lesson Plans and Worksheets

Operations and Algebraic Thinking







Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.

Word Problems

Word Problems level 1

Word Problems level 2

Word Problems level 3

Word Problems level 4

Addition and subtraction word problems

Word Problems



Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers.

Mental Strategies

1-digit addition


Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.

Odd and Even

Odd and Even

Odd and Even


Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns; write an equation to express the total as a sum of equal addends.

Addition Arrays

Create Equal Groups

Repeated Addition

Create Arrays

Number and Operations in Base Ten









Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. Understand the following as special cases:
a) 100 can be thought of as a bundle of ten tens — called a Hundred.

b) The numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones).

Place Value

Hundreds, tens and ones

Representing numbers

Base Ten


Count within 1000; skip-count by 5s, 10s, and 100s.

Skip-count by 5's

Skip-count by 10's, 100's

Skip Count by 2's

Skip Count by 5's

Skip Count by 10's

Skip Count by 100's

Skip Counting Stories


Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.

Number Forms

Number Words

Writing numbers to 1000

Expanded Form

Expanded Numbers


Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons.

Compare Numbers

Comparing whole numbers

Compare numbers within 1000

Compare Numbers


Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.

Addition Strategies

Subtraction Strategies

2-digit addition

2-digit Subtraction

Addition & Subtraction


Add up to four two-digit numbers using strategies based on place value and properties of operations.

Add 2-digit Numbers

Add 3 2-digit numbers

Add 4 2-digit numbers

Addition Games


Add and subtract within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method. Understand that in adding or subtracting three-digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds.

Addition Subtraction Strategies

Add 3-digit numbers

Subtract 3-digit numbers

Add within 1000 level 1

Add within 1000 level 2

Subtract within 1000 level 1

Subtract within 1000 level 2

Addition & Subtraction


Mentally add 10 or 100 to a given number 100–900, and mentally subtract 10 or 100 from a given number 100–900.

Add Subtract 10, 100

Skip Count by 10

Count by 100s

Subtract 10


Explain why addition and subtraction strategies work, using place value and the properties of operations.

Addition Subtraction Strategies

Add 3-digit numbers

Subtract 3-digit numbers

Addition & Subtraction


Measurement and Data







Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes.

Measure Lengths

Measuring lengths

Which unit of Measurement?

Reading a Tape Measure



Measure the length of an object twice, using length units of different lengths for the two measurements; describe how the two measurements relate to the size of the unit chosen.

Units of Lengths

Measure lengths with different units

Unit of Measure



Estimate lengths using units of inches, feet, centimeters, and meters.

Estimate Lengths




Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit.

Comparing lengths


Use addition and subtraction within 100 to solve word problems involving lengths that are given in the same units, e.g., by using drawings (such as drawings of rulers) and equations with a symbol for the unknown number to represent the problem.

Word Problems

Length word problems

Word Problems (Metric)

Word Problems (Standard)


Represent whole numbers as lengths from 0 on a number line diagram with equally spaced points corresponding to the numbers 0, 1, 2, ..., and represent whole-number sums and differences within 100 on a number line diagram.

Number line

Number line word problems

Number Line Addition

Line Jumper


Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m.

Tell Time

Telling time

Telling Time 2

Time Games


Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately. Example: If you have 2 dimes and 3 pennies, how many cents do you have?

Count Money

Count Money

Counting Money

Money Games


Generate measurement data by measuring lengths of several objects to the nearest whole unit, or by making repeated measurements of the same object. Show the measurements by making a line plot, where the horizontal scale is marked off in whole-number units.

Line Plots

Line plots word problems

Line Plots

Line Plots


Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories. Solve simple put-together, take-apart, and compare problems using information presented in a bar graph.

Picture Graphs and Bar Graphs

Bar graph problems

Picture graph problems

Reading Graphs









Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces. Identify triangles, quadrilaterals, pentagons, hexagons, and cubes.

Identify & draw shapes

Recognize shapes




Partition a rectangle into rows and columns of same-size squares and count to find the total number of them.

Partition Rectangles

Fill rectangles with squares

How many squares?


Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape.


Equal parts of circles and rectangles

Halves, Thirds, Fourths

Kids & Cookies

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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