2nd Grade Math Common Core Curriculum

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2nd Grade Math Common Core Curriculum

Timeline Topics Objectives PA CC Standards Domain Cluster Standard Cluster

Instructional Emphasis

Tier 2 & 3 Vocabulary

Internet

Resources Materials/Resources Assessments Quarter 1

I. Number Concepts

To allow for refinement of curricular content and to guide the creation of quality aligned assessments, the Objectives column is intentionally incomplete. The District’s Curriculum Team should take ownership and customize this framework utilizing Webb’s Depth of Knowledge

2.1.2.B.1 Use place value concepts to represent amounts of tens and ones and to compare three digit numbers.

2.1.2.B.2

Use place value concepts to read, write and skip count to 1000.

Formative Summative (Benchmark and/or Diagnostic if applicable) Intentionally vague to allow for professional development opportunities for school entities and Intermediate Unit

A. Count and Write Numbers 1 to 200

Cite evidence of the understanding of the order and patterns of numbers from 1 to 200

Number and Operations in Base Ten 2.NBT

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

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

Digits Count Forward Count Backward

IXL: Names of Numbers

Number Line Hundreds Chart Counters Unit-Fix Cubes

B. Skip Count Numbers 2's, 5's, 10's

Skip-Count Ten More Ten Less

Haelmedia: Skip-Counting

Number Line Hundreds Chart C. Apply Odd and

Even Numbers

Operations and Algebraic Thinking 2.OA

Represent and solve problems involving addition and subtraction.

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.

Even Odd

Hundreds Splat Square

Number Line

II. Money 2.4.2.A.3

Solve problems using coins and paper currency.

A. Identify and Compare Penny and Nickel

Measurement and Data 2.MD

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?

Penny Nickel Decimal Point Greatest Least

Soft Schools: Identify Coins

Coins

III. Place Value 2.1.2.B.1

A. Identify and Count Tens and Ones

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: 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).

Ones Tens

Learning Block: Catch Ten

Hundreds Chart Base-Ten Blocks

IV. Fractions 2.3.2.A.2

Use the understanding of fractions to partition shapes into halves, quarters, and thirds.

A. Identify Equal Parts

Geometry 2.G Reason with shapes and their attributes.

3. 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.

Fraction Whole Equal Parts Halves Thirds Fourths

Fraction Printables

Cuissinaire Rods

V. Two-Dimensional and Three-Dimensional Shapes

2.3.2.A.1

Analyze and draw two- and three-dimensional shapes having specified attributes.

(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

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Internet

Resources Materials/Resources Assessments A. Recognize,

Describe, and Build Plane Shapes (Square, Rectangle, Triangle, Hexagon, Trapezoid, Parallelogram, and Circle)

1. Recognize and draw shapes having specified attributes, such as a given

number of angles or a given number of equal faces.

5. Identify triangles,

quadrilaterals, pentagons, hexagons, and cubes

Plane Shapes Square Rectangle Triangle Hexagon Trapezoid Parallelogram Circle Angle Square corner Side

BBC Schools: Identify Plain Shapes

Multiple Sets of Plain Shapes

VI. Tables and Graphs

2.4.2.A.4

Represent and interpret data using line plots, picture graphs, and bar graphs.

A. Organize and Display Data in Graphs and Charts

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 problems4 using information

presented in a bar graph.

Bar Graph Line Graph Grid Point Range Median Mode Coordinate Chart

Gameaquarium: Data

Graph Paper

1. Construct a Pictograph

Pictograph Soft Schools: Pictographs

Graph Paper Stickers

B.Conduct Surveys and Graph Results

Survey Surveys/Graphs Graph Paper

VII. Measurement 2.4.2.A.1

Measure and estimate lengths in standard units using appropriate tools. 2.4.2.A.2

Tell and write time to the nearest five minutes.

A. Determine and Compare Digital and Analog Time

7. Tell and write time from analog and digital clocks to the nearest five

minutes, using a.m. and p.m.

Minute Hour Half-Hour Quarter Past Half Past

Woodlands Junior: Clocks

Analog/Digital Clocks Judy Clock

1. Demonstrate Time to the Hour and Half Hour

Stop the Clock: Hours and Half Hours B. Utilize

Non-Standard Measurement

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 Unit Longer Longest Shorter Shortest

Paper Clips String

VIII. Addition and Subtraction Concepts

2.1.2.B.3

Use place value understanding and properties of operations to add and subtract within 1000. 2.2.2.A.1

Represent and solve problems involving addition and subtraction within 100. 2.2.2.A.2

Use mental strategies to add and subtract within 20.

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Internet

Resources Materials/Resources Assessments A. Solve Problems

with Sums to 20

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.

Add Plus Count on Sum Doubles Doubles Plus One Addend Make a Ten Number Sentence

Arcademic Skill Builders: Addition

Two Sided counters Counters Place Value Mats

1. Solve Two Digit Problems

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.

That's a Fact: Addition

B. Solve Problems with Differences from 20

Minus Count back Difference Subtract Missing addend

Arcademic Skill Builders: Subtraction

Number Line

C. Recognize Fact Families

Fact Family House

IX. Problem Solving 2.2.2.A.1 2.2.2.A.2

A. Describe Steps Necessary to Solve a Problem

Altogether How Many More How Many Less

Soft Schools: Problem Solving Worksheets

B. Analyze Problems and Decide Whether to Use Addition or Subtraction

Take Away Join

Dad's Worksheets: Problem Solving

C. Use a Variety of Strategies to Solve and Defend Problems

Super Teachers: Problem Solving Worksheets

D. Explain Appropriate Process of Addition to Solve Problems

Kid Zone: Problem Solving Worksheets

Quarter 2

I. Number Concepts

2.1.2.B.1 2.1.2.B.2

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Internet

Resources Materials/Resources Assessments A. Count and

Write Numbers 1 to 500

Blank Hundreds Chart Formative Summative

(Benchmark and/or Diagnostic if applicable)

Intentionally vague to allow for professional development opportunities for school entities and Intermediate Unit

B. Skip Count Numbers 2's, 5's, 10's

Hundreds Chart Number Line C. Compare

Amounts Using Greater Than/Less Than

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.

Fewest Greater Than Less than Equal

Toon University: Comparing Numbers

Base Ten Blocks

D. Round Numbers to the Nearest Ten

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

and subtract.

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).

Estimate Round

National Library of Virtual Manipulatives: Numberline

Number Line

II. Money 2.4.2.A.3

A. Identify and Compare Penny, Nickel, and Dime

Dime Coins

III. Place Value 2.1.2.B.1 2.1.2.B.2 2.1.2.B.3

A. Identifying and Counting Tens and Ones

Number and Operations in Base Ten 2.NBT.1.a,b

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:

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).

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

names, and expanded form.

Math-Salamanders: Place Value

IV. Fractions 2.3.2.A.2

A. Use Fractions to Represent the Quantities Halves and Whole

same shape.

Whole Half Fourths Thirds

Fraction Printables

Cuissinaire Rods

2.3.2.A.1

A. Name and Describe Solid Figures (Rectangular Prism, Sphere, Cone, Cylinder, Cube Pyramid)

number of angles or a given number of equal faces. Identify triangles, quadrilaterals, pentagons, hexagons, and cubes

Solid Figures Rectangular Prism Sphere Cone Cylinder Cube Pyramid

BBC Schools: Identify Plain Shapes

Set of Solid Figures

VI. Tables and Graphs

2.4.2.A.4

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Internet

Resources Materials/Resources Assessments A. Organize and

Display Data in Graphs and Charts

take-apart, and compare problems using information

Popular Graphs & Charts Printables, Grades K-2

Graph Paper Stickers

1. Construct Bar Graphs and Concrete Graphs

Graph Paper

2. Construct Line Plots Based on Repeated Measurement

9. 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.

Graph Paper

B. Compare More than One Graph with the Same Information

take-apart, and compare problems using information

Completed Graphs

VII. Measurement 2.4.2.A.1 2.4.2.A.2 2.4.2.A.6 Extend the concepts of addition and subtraction to problems involving length. A. Determining

and Comparing Digital and Analog Time

Analog Clock Digital Clock Judy Clocks

1. Demonstrate Time to the Hour, Half Hour, Quarter

Stop the Clock: Quarter Hours

B. Estimate, Measure, and Compare Objects Using Inches

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

Inch Ruler

Standard Ruler

C. Estimate, Measure, and Compare the Lengths of objects

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.

Standard Ruler

D. Determine Operation to Solve Word Problems Involving Length

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. 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.

Primary Resources: Word Problems

Standard Ruler

2.1.2.B.3 2.2.2.A.1 2.2.2.A.2

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Internet

Resources Materials/Resources Assessments A. Solve Two Digit

Problems with Regrouping

Operations and Algebraic Thinking 2.OA. Number and Operations in Base Ten 2.NBT

Use place value understanding and properties of operations to add

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

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

Regroup Fuel the Brain: Two Digit Missing Addend Addition

B. Add 10 or 100 to a given number

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.

Counters Place Value Mats

C. Solving Problems with Differences from 20

eManipulatives: Counters

1.Count Back by Tens

Number and Operations in Base Ten 2.NBT Operations and Algebraic Thinking 2.OA.2

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.

Teaching Ideas: Mental Math Starters

Hundreds Chart

D. Recognize Fact Families

Fact Family House

Flash Cards

Operations and Algebraic Thinking 2.OA.1

B. Analyze Problems and Decide Whether to use Addition or Subtraction

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Internet

Resources Materials/Resources Assessments D. Explain

Appropriate Process of Addition to Solve Problems

Quarter 3

I. Numbers 2.1.2.B.1 2.1.2.B.2

A.Count and Write Numbers 1 to 800

To allow for refinement of curricular content and to guide the creation of quality aligned assessments, the Objectives column is intentionally incomplete. The District’s Curriculum Team should take ownership and customize this framework utilizing Webb’s Depth of Knowledge

Blank Hundreds Chart Formative Summative

B. Skip Counting using 2's, 5's, 10's, and 100's

Hundreds Chart Number Line

C. Compare Amounts Using Greater Than/Less Than

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 und

Base-Ten Blocks

D. Rounding to the Nearest Ten and Hundreds Place

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

and subtract.

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).

Hundredths Learning Box: Rounding to Hundreds

II. Money 2.4.2.A.3

A. Identify and Compare Penny, Nickel, Dime, Quarter and Half Dollar

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?

Quarter, Half-Dollar

TVO Kids: Coin Combo

Coins

III. Place Value 2.1.2.B.1

A. Identify and Count Tens, Ones, and Hundreds

CDK Education Links: Place Value

IV. Fractions 2.3.2.A.2

A. Using Fractions to Represent the Quantities Halves, Whole, and Thirds

same shape.

Fraction Printables

Cuissinaire Rods

2.3.2.A.1

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Internet

Resources Materials/Resources Assessments A. Recognize

Congruent Figures

number of angles or a given number of equal faces. Identify triangles,

Congruence Learner.org: Congruent Shapes

Graph Paper

VI. Measurement 2.3.2.A.1

2.4.2.A.1 2.4.2.A.2 2.4.2.A.6 A. Determine

Digital and Analog Elapsed time

Analog Clock Digital Clock Judy Clock 1. Demonstrate

Time to the Hour, Half Hour, Quarter Hour, Minute, and 5 Minute Intervals

Stop the Clock: Five Minutes

Analog Clock Digital Clock Judy Clock

B. Estimate, Measure, and Compare Objects Using Centimeters

Metric Ruler

C. Estimating, Measuring, and Comparing Lengths

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.

4. Measure to determine how much longer one object is than another,

expressing the length difference in terms of a standard length unit.

Standard Ruler

VII. Probability 2.4.2.A.4

A. Predict Outcomes and Analyze Results

take-apart, and compare problems using information presented in a bar graph.

Certain Impossible Likely Unlikely More Likely Less Likely Most Likely Least Likely Equally Likely

Interactivate: Fair Spinner with Tallies

Dice Graph Paper

B. Determine the Likelihood of Events

Outcome Event

Random.org: Dice Roller

Fair Spinner Unfair Spinner

2.1.2.B.3 2.2.2.A.1 2.2.2.A.2

A. Solving Problems with Sums to 20

2. Fluently add and subtract within 20 using mental strategies. By end of

That's a Fact: Addition

1. Sums of Two and Three Digit Numbers with Regrouping

Operations and Algebraic Thinking 2.OA Number and Operations in Base Ten 2.NBT

Represent and solve problems involving addition and subtraction. Use place value understanding and properties of operations to add

and subtract.

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

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

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Internet

Resources Materials/Resources Assessments B. Review Solving

Problems with Differences from 20

Flash Cards Number Line

1. Counting Back by Tens

2. Fluently add and subtract within 20 using mental strategies. By end of

Hundreds Chart

C. Describe the Inverse Relationship Between Addition and Subtraction

Operations and Algebraic Thinking 2.OA Number and Operations in Base Ten 2.NBT

Represent and solve problems involving addition and subtraction. Use place value understanding and properties of operations to add

and subtract.

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.

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

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

EZSchool: Facts Number Line Hundreds Chart

D. Explain Appropriate Process of Addition to Solve Problems

Quarter 4

I. Numbers 2.1.2.B.2 2.1.2.B.3

A. Count and Write Numbers 1 to 1000

Fuel the Brain: Counting to 1000

Number Line Hundreds Chart Counters Unit-Fix Cubes

Formative Summative

B. Skip Counting using 2's, 5's, 10's, and 100's

Number Line Hundreds Chart

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Internet

Resources Materials/Resources Assessments C. Round to the

Nearest Hundredth

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:

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

Learning Box: Rounding to Hundreds

II. Money 2.4.2.A.3

A. Penny, Nickel, Dime, Quarter, Half Dollar, and Dollar

One Dollar Dollar Sign

Toon University: Discovering Coin Values

Coins Bills

III. Place Value 2.1.2.B.1 2.1.2.B.2

A. Identifying and Counting by Tens, Ones, and Hundreds

IV. Fractions 2.3.2.A.2

A. Using Fractions to Represent the Quantities Halves, Whole, and Thirds, and Fourths

same shape.

Fraction Printables

Cuissinaire Rods

2.3.2.A.1

A. Identify and Create Symmetrical and Congruent Shapes and Solids

number of angles or a given number of equal faces. Identify triangles,

Graph Paper

VI. Measurement 2.3.2.A.1 2.4.2.A.1 2.4.2.A.2 2.4.2.A.6 A. Determining

Digital and Analog Elapsed time

Analog Clock Digital Clock Judy Clocks 1. Demonstrating

Time to the Hour, Half Hour, Quarter Hour, Minute, and Five Minute Intervals

Stop the Clock: Minutes

B. Measure and Calculate Area

2. Partition a rectangle into rows and columns of same-size squares and

count to find the total number of them

Area Standard Ruler

C. Representing Whole Numbers as Lengths from 0 to 99 on a Number Line

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.

Number Line Standard Ruler

VII. Probability 2.4.2.A.4

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Internet

Resources Materials/Resources Assessments A. Recording and

Analyze Data from Experiments

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 problems4 using information presented in a bar graph.

Data Fair Spinner

Dice Graph Paper

2.1.2.B.3 2.2.2.A.1 2.2.2.A.2

2.2.2.A.3 Work with equal groups of objects to gain foundations for multiplication.

A. Construct Addition Problems using Arrays

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.

Beacon Learning Center: Arrays

IX. Problem Solving 2.2.2.A.1

C. Using a Variety of Strategies to Solve and Defend Problems

D. Explaining Appropriate Process of Addition to Solve Problems

*Expand upon and review concepts from Quarter 1, Quarter 2, and Quarter 3