Grade 2 Math IAS Standards

Data Analysis

Measurement

Geometry

Computation and Algebraic Thinking

Number Sense

Mathematics Process Standards

Within the numbers 1-100, students apply place value concepts and addition and subtraction concepts to solve real-world problems and reason about their strategies and solutions. Students explore effects of properties of addition on solutions and investigate number patterns, and apply concepts of addition and subtraction within 1,000.

Solve real-world problems involving addition and subtraction within 100 in situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all parts of the addition or subtraction problem (e.g., by using drawings and equations with a symbol for the unknown number to represent the problem). Use estimation to decide whether answers are reasonable in addition problems.

Solve real-world problems involving addition and subtraction within 100 in situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all parts of the addition or subtraction problem (e.g., by using drawings and equations with a symbol for the unknown number to represent the problem). Use estimation to decide whether answers are reasonable in addition problems. (E)

Solve real-world addition and subtraction problems within 50 using objects, drawings, or pictures. Use estimation to decide whether answers are reasonable in addition problems. (E)

Using number sense and place value strategies, add and subtract within 1,000, including composing and decomposing tens and hundreds. Use models, drawings, and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; describe the strategy and explain the reasoning used.

Using number sense and place value strategies, add and subtract within 1,000, including composing and decomposing tens and hundreds. Use models, drawings, and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; describe the strategy and explain the reasoning used.

Add and subtract numbers within 50 using models or drawings, strategies based on place value, properties of operations, and/or the relationship between addition and subtraction. (E)

Show that the order in which two numbers are added (commutative property) and how the numbers are grouped in addition (associative property) will not change the sum. These properties can be used to show that numbers can be added in any order.

Show that the order in which two numbers are added (commutative property) and how the numbers are grouped in addition (associative property) will not change the sum. These properties can be used to show that numbers can be added in any order. (E)

Show that the order in which two numbers are added (commutative property) and how the numbers are grouped in addition (associative property) will not change the sum. These properties can be used to show that numbers can be added in any order.

Create, extend, and give an appropriate rule for number patterns using addition and subtraction within 1,000.

Create, extend, and give an appropriate rule for number patterns using addition and subtraction within 1,000.

Create and extend a number pattern using addition or subtraction within 50 when given a rule.

Students interact with a variety of data collection models and evaluate mathematical relationships within the data using grade-level appropriate strategies.

Collect, organize, and graph data from observations, surveys, and investigations using scaled bar graphs and pictographs (limit scale to 2s, 5s, 10s, and 100s); interpret mathematical relationships within the data using grade-level addition, subtraction, and comparison strategies.

Collect, organize, and graph data from observations, surveys, and investigations using scaled bar graphs and pictographs (limit scale to 2s, 5s, 10s, and 100s); interpret mathematical relationships within the data using grade-level addition, subtraction, and comparison strategies. (E)

With guidance, collect and organize data into simple bar graphs and pictographs with scales of five or ten. Answer simple questions about the total number of data points, how many in each category, and how many more or how many less.

Students investigate and classify two- and three-dimensional shapes based on faces, sides, and vertices, and investigate the results of composing and decomposing each shape. Students continue to build foundational fraction knowledge through specific partitioning and naming of rectangles and circles.

Identify, describe, and classify two- and three-dimensional shapes (i.e., triangle, square, rectangle, cube, right rectangular prism) according to the number and shape of faces and the number of sides and/or vertices. Draw two-dimensional shapes.

Identify, describe, and classify two- and three-dimensional shapes (i.e., triangle, square, rectangle, cube, right rectangular prism) according to the number and shape of faces and the number of sides and/or vertices. Draw two-dimensional shapes.

Identify and describe two-dimensional shapes (i.e., triangle, square, and rectangle). Identify and describe three-dimensional shapes (e.g., cube and right rectangular prism). Identify and count faces, sides, and vertices of three-dimensional shapes.

Investigate and predict the result of composing and decomposing two- and three-dimensional shapes.

Investigate and predict the result of composing and decomposing two- and three-dimensional shapes.

Compose and decompose two- and three-dimensional composite shapes.

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

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

Given a rectangle partitioned into rows and columns of same-size (unit) squares, count to find the total number of same-size squares.

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

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

Partition circles and rectangles into two, three, and four equal parts. Label each part of a partitioned shape using words such as halves, thirds, fourths, half of, third of, etc. (E)

Students use appropriate tools, computation strategies, and relationships of measurement to solve real-world problems including measurements of length and capacity, telling time to the nearest five minutes, and collections of coins and dollars.

Describe the relationships among an inch, foot, and yard. Describe the relationship between a centimeter and meter.

Describe the relationships among an inch, foot, and yard. Describe the relationship between a centimeter and meter.

Describe the relationships among an inch, foot, and yard.

Estimate and measure the length of an object by selecting and using appropriate tools, such as rulers, yardsticks, meter sticks, and measuring tapes to the nearest inch, foot, yard, centimeter, and meter.

Estimate and measure the length of an object by selecting and using appropriate tools, such as rulers, yardsticks, meter sticks, and measuring tapes to the nearest inch, foot, yard, centimeter, and meter. (E)

Identify the appropriate tool (ruler, yard stick, or measuring tape) and unit of measurement to measure an object to the nearest inch or foot. (E)

Estimate and measure volume (capacity) using cups and pints. Add and subtract to solve real-world problems involving capacities that are given in the same units or obtained through investigations.

Estimate and measure volume (capacity) using cups and pints. Add and subtract to solve real-world problems involving capacities that are given in the same units or obtained through investigations. (E)

Identify the appropriate tool and unit of measurement to measure volume in cups and pints. Add and subtract to solve real-world problems involving cups and pints.

Tell and write time to the nearest five minutes from analog clocks, using a.m. and p.m. Solve real-world problems involving addition and subtraction of time intervals on the hour or half hour.

Tell and write time to the nearest five minutes from analog clocks, using a.m. and p.m. Solve real-world problems involving addition and subtraction of time intervals on the hour or half hour. (E)

Tell time to the nearest half-hour using analog clocks and a.m. and p.m. Solve real-world problems involving addition and subtraction of time intervals on the hour or half-hour. (E)

Describe relationships of time, including seconds in a minute; minutes in an hour; hours in a day; days in a week; and days, weeks, and months in a year.

Describe relationships of time, including seconds in a minute; minutes in an hour; hours in a day; days in a week; and days, weeks, and months in a year.

Demonstrate understanding of the relationships among seconds, minutes, hours, days, weeks, months, and years. (E)

Find the value of a collection of pennies, nickels, dimes, quarters, and dollars.

Find the value of a collection of pennies, nickels, dimes, quarters, and dollars. (E)

Identify a penny, nickel, dime, quarter, and dollar. Identify the value of a collection of coins up to one dollar or dollars up to ten dollars. (E)

Students fluently count, read, and represent numbers up to 1,000 using place value concepts.

Count by ones, twos, fives, tens, and hundreds up to at least 1,000 from any given number.

Count by ones, twos, fives, tens, and hundreds up to at least 1,000 from any given number. (E)

Count to 50 by ones, twos, fives, and tens. Count on by ones from any number up to 50. (E)

Read and write whole numbers up to 1,000. Use words, models, standard form, and expanded form to represent and show equivalent forms of whole numbers up to 1,000.

Read and write whole numbers up to 1,000. Use words, models, standard form, and expanded form to represent and show equivalent forms of whole numbers up to 1,000. (E)

Read, write, and identify whole numbers up to 50. Use words, models, standard form, or expanded form to represent and show equivalent forms of whole numbers up to 50. (E)

Determine whether a group of objects (up to 20) has an odd or even number of members (e.g., by placing that number of objects in two groups of the same size and recognizing that for even numbers no object will be left over and for odd numbers one object will be left over, or by pairing objects or counting them by twos).

Determine whether a group of objects (up to 20) has an odd or even number of members (e.g., by placing that number of objects in two groups of the same size and recognizing that for even numbers no object will be left over and for odd numbers one object will be left over, or by pairing objects or counting them by twos).

Identify a group of objects up to 10 as odd or even.

Define and model a "hundred" as a group of ten tens. Model place value concepts of three-digit numbers, multiples of 100, and equivalent forms of whole numbers using objects and drawings.

Define and model a "hundred" as a group of ten tens. Model place value concepts of three-digit numbers, multiples of 100, and equivalent forms of whole numbers using objects and drawings. (E)

Build and model representations of numbers up to 50 by creating groups of tens, and ones using objects and drawings. Build and model representations of multiples of 10 up to 50 by creating groups of 10 using objects or drawings. Identify the value of the numbers in the tens and ones place within a given number up to 50. (E)

Use place value understanding to 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 to compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using > , = , and < symbols to record the results of comparisons. (E)

Use place value modeling with objects and numbers to compare two two-digit numbers up to 50 (e.g., identify more tens, less tens, more ones, less ones, larger value, smaller value). Record the comparisons using > , = , and < symbols. (E)

Make sense of problems and persevere in solving them.

Reason abstractly and quantitatively.

Construct viable arguments and critique the reasoning of others.

Model with mathematics.

Use appropriate tools strategically.

Attend to precision.

Look for and make use of structure.

Look for and express regularity in repeated reasoning.

Computation and Algebraic Thinking

Data Analysis

Geometry

Measurement

Number Sense