Represent and solve problems involving addition and subtraction.

1. 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.

Add and subtract within 20.

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

Work with equal groups of objects
to gain foundations for multiplication.

3. 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.

Work with equal groups of objects
to gain foundations for multiplication.

4. 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.

Understand place value.

1. 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).

Understand place value.

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

Understand place value.

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

Understand place value.

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

Use place value understanding and
properties of operations to add and subtract.

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

Use place value understanding and
properties of operations to add and subtract.

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

Use place value understanding and
properties of operations to add and subtract.

7. 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.

Use place value understanding and
properties of operations to add and subtract.

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

Use place value understanding and
properties of operations to add and subtract.

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

Measure and estimate lengths in
standard units.

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

Measure and estimate lengths in
standard units.

2. 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.

Measure and estimate lengths in
standard units.

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

Measure and estimate lengths in
standard units.

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

Relate addition and subtraction to
length.

5. 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.

Relate addition and subtraction to
length.

6. 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.

Work with time and money.

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

Work with time and money.

8. 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?

Measurement & Data

Represent and interpret data.

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.

Represent and interpret data.

10. 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 1 using
information presented in a bar graph.

Geometry

Reason with shapes and attributes.

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.

Geometry

Reason with shapes and attributes.

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

Geometry

Reason with shapes and attributes

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