Math Grade 2 Curriculum Guide

Math Curriculum Guide nd

2 Grade 2012 – 2013 School Year

Dear Colleague, Please use this curriculum guide to assist in your planning of mathematical instruction during the school year. The included unit/topic plans are aligned with the New York State Common Core State Standards (CCSS) and utilize the enVision resources to uncover these understandings. In addition to this curriculum guide, it is recommended that you utilize the grade level calendar to pace your lessons and units of instruction. Although specific lessons and standards are listed per date, it is not required that this be strictly followed per day. Adjustments in your pacing may occur based upon your school’s alternate schedules and your particular student’s needs.

The CCSS are divided into standards that are major priorities, supporting topics and additional topics. This highlighting scematic (bold and/or italics) will be utilized within each unit to identify these differences. All included lessons are required to be taught; however, emphasis should be placed on ensuring a full understanding of the major priorities.

Assessments should mirror this hierarchy of priorities as well.

When reviewing these curriculum guides, please note the included essential questions, both per topic and lesson. These were developed with the intent of sharing with your students. Consider posting these questions for students to become immersed in and as a means of keeping the class conversation focused on the objective of the period or unit as a whole.

Additionally, please take advantage of the space provided on each page for you to include your own notes. Knowing that we are in the beginning phases of implementing the CCSS, along with utilizing the enVision resources, it is imperative that we consistently reflect upon on our practice, and consider various approaches and strategies to provide an optimal learning environment for all of our students to become successful. Please continue collaborating with your colleagues to work towards achieving this goal.

Finally, you will notice during the post assessment time period, that some of the major priority standards have been included again as a plan of instruction. This will provide you with time to delve more deeply into these already discussed concepts. In planning student experiences, consider utilizing the center activities, problem solving questions, ExamView generated worksheets, or any other resources that you have found valuable pertaining to these concepts. The following symbol * has been included in the teacher notes column for each of the lessons that might reappear during this post assessment time period. Be proactive and put aside resources that you could use during this time period.

Have an excellent 2012 – 2013 school year!

HHH Math Grade 2 Curriculum Guide Unit/Topic 2: Understanding Addition and Subtraction What are some ways to think about addition and subtraction?

In what ways can operations affect numbers?

How can different strategies be helpful when solving a problem?

9 Days

Lesson Number and Title

Common Core State Standard(s)

Essential Question(s)

1-1

Addition: Writing Addition Number Sentences

2.OA.1

How can word sentences be used to show parts and the whole?

1-2

Addition: Stories About Joining

2.OA.1

How can you show a joining (addition) story with an addition number sentence?

1-3

Subtraction: Writing Subtraction Number Sentences

2.OA.1

How can subtraction sentences be used to find the missing part of the whole?

1-4

Subtraction: Stories about Separating

2.OA.1

How can you solve a story about separating (subtracting) using connecting cubes and writing a number sentence?

1-5

Subtraction: Stories about Comparing

2.OA.1

How can you solve a story about comparing using models and writing subtraction sentences?

1-6

Subtraction: Connecting 2.OA.1, 2.NBT.5 How can you write related addition and subtraction facts?

Addition and Subtraction

1-7

Problem Solving Using Objects

2.OA.1

Teacher Notes

Suggested activity: Try having students compare the number of letters in names with a partner.

How can using objects help you decide whether to add or subtract to find the correct answer?

The 2 extra days in the topic are used for review, centers, games and assessment.

HHH Math 2nd Grade Curriculum Guide Unit/Topic 2: Addition Strategies What are strategies for finding addition facts?

In what ways can operations affect numbers?

How can different strategies be helpful when solving a problem?

9 Days

Lesson Number and Title

Common Core State Standard(s)

Essential Question(s)

2.OA.1, 2.OA.2, 2.NBT.5, 2.NBT.9

How do you add 0-more, 1-more, and 2-to other numbers?

2-1

Addition: Adding 0,1,2

2-2

Addition: Doubles

2.OA.1, 2.OA.2, What are the different ways to learn and remember doubles 2.NBT.5, facts?

2.NBT.9

2-3

Addition: Near Doubles

2.OA.1, 2.OA.2, How can doubles facts be used to learn near doubles facts?

2.NBT.5, 2.NBT.9

2-4

Addition: Adding in Any 2.OA.1, 2.NBT.5, What happens to the sum of two numbers when the order of the numbers being added is changed?

Order 2.NBT.9

2-5

Addition: Adding Three 2.OA.1, 2.NBT.5, When you add three numbers, how do you decide which two numbers to add first?

Numbers 2.NBT.9

2-6

Addition: Making 10 to 2.OA.2, 2.NBT.5, Add 2.NBT.9

2-7

Problem Solving: Draw a Picture and Write a Number Sentence

2.OA.1

How can you make a 10 when adding?

How can drawing a picture and writing a number sentence help you solve a math story problem?

Teacher Notes

Reminder: This is a lesson to expose them to the strategy. Have them choose whatever strategy works for them.

HHH Math Grade 2 Curriculum Guide Unit/Topic 3: Subrtaction Strategies What are strategies for finding subtraction facts?

In what ways can operations affect numbers?

How can different strategies be helpful when solving a problem?

8 Days

Lesson Number and Title

Common Core State Standard(s)

Essential Question(s)

Teacher Notes

2.OA.1, 2.OA.2, How can you use 0-less than, 1-less than, and 2-less than to 2.NBT.5, help you subtract?

2.NBT.9

3-1

Subtracting 0,1,2

3-2

Thinking Addition to Subtract Doubles

2.OA.1, 2.OA.2, 2.NBT.5, 2.NBT.9

How can you use a doubles fact to help you subtract?

3-3

Thinking Addition to 10 to Subtract

2.OA.1, 2.OA.2, 2.NBT.5, 2.NBT.9

How can you use an addition fact to help you subtract?

3-4

Thinking Addition to 18 to Subtract

2.OA.1, 2.OA.2, 2.NBT.5, 2.NBT.9

How to addition facts help you solve subtraction facts?

3-5

Making 10 to Subtract

2.OA.2, 2.OA.2, 2.NBT.5

How can you use the make 10 strategy to subtract?

3-6

Problem Solving- TwoQuestion Problems

2.OA.1

How does the answer to one question in a problem help you answer another question in the same problem?

Reminder: This is a lesson to expose them to the strategy. Have them choose whatever strategy works for them.

*

HHH Math 2nd Grade Curriculum Guide Unit/Topic 4: Working with Equal Groups What is the relationship between arrays and repeated addtion?

In what ways can operations affect numbers?

How can different strategies be helpful when solving a problem?

6 Days

Lesson Number and Title

Common Core State Standard(s)

Essential Question(s)

Teacher Notes

4-1

Addition: Repeated Addition

2.OA.4

How can repeated addition help you find the total number of objects?

*

4-2

Addition: Building Arrays

2.OA.4

How can an array be used to help write an addition sentence?

*

4-3

Addition: Practicing Repeated Addtion

2.OA.4

How can you use repeated addition to solve problems?

*

How does drawing a picture help you solve a problem?

*

4-4

Problem Solving: Draw a Picture and Write a 2.OA.1, 2.OA.4 Number Sentence

HHH Math 2nd Grade Curriculum Guide Unit/Topic 5: Place Value to 100 How can numbers to 100 be shown and compared?

In what ways can operations affect numbers?

How can different strategies be helpful when solving a problem?

How does a digit’s position affect its value?

9 Days

Lesson Number and Title

Common Core State Standard(s)

Essential Question(s)

Teacher Notes

5-1

Number: Models for Tens and Ones

2.NBT.1.a, 2.NBT.1, 2.NBT.3

In a two digit number what do the first and second digits tell you?

5-2

Number: Reading and Writing Numbers

2.NBT.3, 2.NBT.1

How are numbers through 99 written as words?

5-3

Number: Using Symbols to Compare Numbers

2.NBT.4

How can you use the symbols, , , and = to compare twodigit numbers?

5-4

Number: Counting to 100

2.NBT2

How can you find the number that is one before or one after another number?

*

5-5

Number: 10 More or 10 Less

2.NBT.5, 2.NBT.6

How do you find the number that is 10 more or 10 less than another number?

*

5-6

5-7

Patterns: Even and Odd Numbers 2.OA.3, 2.NBT.9

Problem Solving: Use Data from a Chart

2.NBT.5, 2.OA.1

How do you know if a number is even or odd?

How can you use data from a chart to help you solve problems?

*

HHH Math 2nd Grade Curriculum Guide Unit/Topic 8: Adding Two-Digit Numbers What is the standard procedure for adding two-digit numbers?

How does a digit’s position affect its value?

In what ways can operations affect numbers?

How can different strategies be helpful when solving a problem?

Why does “what” we measure influence “how” we measure?

Why display data in different ways?

11 Days Lesson Number and Title

8-1

8-2

8-3

Addition: Regroup 10 Ones for 1 Ten Addition: Models to Add Ten-and One-Digit Numbers Addition: Adding TwoDigit and One-Digit Numbers

8-4

Addition: Models to Add Two-Digit Numbers

8-5

Addition: Adding TwoDigit Numbers

8-6

Addition: Adding on a Number Line

8-7

Addition: Adding More than Two Numbers

8-8

Addition: Ways to Add

8-9

Problem Solving: Draw a Picture and Write a Number Sentence

Common Core State Standard(s)

Essential Question(s)

2.NBT.5, 2.NBT.9

How can you use manipulatives to add a one-digit number to a two-digit number?

2.NBT.5, 2.NBT.9

How can you show and record adding a one-digit number to a two-digit number?

2.NBT.5, 2.NBT.9

How can you use paper and pencil to add one-digit numbers to two-digit numbers?

2.NBT.5, 2.NBT.9, 2.NBT.6 2.NBT.5, 2.NBT.9, 2.NBT.6 2.MD.6, 2.NBT.5, 2.NBT.9, 2.NBT.6 2.NBT.5, 2.NBT.9, 2.NBT.6 2.NBT.5, 2.NBT.9, 2.NBT.6 2.NBT.5, 2.OA.1

Teacher Notes

How can you use manipulatives and paper and pencil to add a two-digit number to a two-digit number?

How can you use manipulatives and paper and pencil to add a two-digit number to a two-digit number?

How do you use a number time to do addition?

Reminder: This is a lesson to expose them to the strategy. Have them choose whatever strategy works for them.

Can you add three or four numbers in any order?

How do the addends determine which way you are adding?

How can you solve a problem using pictures and number sentences?

*

HHH Math 2nd Grade Curriculum Guide Unit/Topic 9: Subtracting Two-Digit Numbers What is a standard procedure for subtraction two-digit numbers?

What is the standard procedure for adding two-digit numbers?

How does a digit’s position affect its value?

In what ways can operations affect numbers?

How can different strategies be helpful when solving a problem?

Why does “what” we measure influence “how” we measure?

Why display data in different ways?

11 Days Lesson Number and Title

9-1

9-2

9-3

9-4 9-5 9-6

9-7

9-8

9-9

Subtraction: Regrouping 1 Ten for 10 Ones Subtraction: Models to Subtract Two-and OneDigit Numbers Subtraction: Subtracting Two- and One-Digit Numbers Subtraction: Models to Subtract Two-Digit Numbers Subtraction: Subtracting Two-Digit Numbers

Common Core State Standard(s)

Essential Question(s)

2.NBT.5, 2.NBT.9

How do you know when you need to regroup when subtracting?

2.NBT.5, 2.NBT.9

When subtracting, how do you know when you need to regroup?

2.NBT.5, 2.NBT.9

How do you use paper and pencil to subtract a one-digit number from a two-digit number?

2.NBT.5, 2.NBT.9

How can you show subtraction of a two-digit number from a two-digit number with and without regrouping?

Teacher Notes

How can you subtract a two-digit number from another two2.NBT.5, digit number using paper and pencil?

2.NBT.9 Reminder: This is a lesson to expose them to the 2.MD.6, 2.NBT,5, Subtraction: Subtracting How do you use a number line to show subtraction? strategy. Have them choose whatever strategy 2.NBT.9, on a Number Line works for them 2.NBT.6 Subtraction: Using 2.NBT.5, How can you use addition to check subtraction?

Addition to Check 2.NBT.9 Subtraction Subtraction: Ways to Subtract

2.NBT.5, 2.NBT.9 2.NBT.6

How do the numbers in a subtraction problem help you choose how to solve it?

How can answering one question at a time help to solve two Problem Solving: Two2.NBT.6, 2.OA.1 question problems?

Question Problems

*

HHH Math 2nd Grade Curriculum Guide Unit/Topic 6: Mental Addition How can sums be found mentally?

In what ways can operations affect numbers?

How can different strategies be helpful when solving a problem?

How does a digit’s position affect its value?

Lesson Number and Title

Common Core State Standard(s)

Essential Question(s)

When tens are added to a two-digit number, how does the tens digit in the sum change?

6-1

Addition: Adding Tens

2.NBT.5, 2.NBT.8, 2.NBT.9

6-2

Addition: Adding Ones

2.NBT.5, 2.NBT.8, 2.NBT.9

How can you add a one-digit number to a two-digit number using the make-ten strategy?

6-3

Addition: Adding Tens and Ones

2.NBT.5, 2.NBT.8, 2.NBT.9

What are two different ways of adding tens and ones mentally?

6-4

Addition: Adding on a Hundred Chart

2.NBT.5, 2.NBT.9

How can patterns on a hundred chart be used to think about adding two-digit numbers?

6-5

Addition: Adding Multiples of 10

6-6

Problem Solving: Look for a Pattern

2.NBT.5, How are adding groups of 10 just like adding numbers less 2.NBT.8, than 10?

2.NBT.9, 2.OA.1

2.NBT.2

How can looking for a pattern help you solve problems?

8 Days

Teacher Notes

*

HHH Math 2nd Grade Curriculum Guide Unit/Topic 7: Mental Subtraction How can differences be found mentally?

How does a digit’s position affect its value?

In what ways can operations affect numbers?

How can different strategies be helpful when solving a problem?

7 Days

Lesson Number and Title

Common Core State Standard(s)

Essential Question(s)

7-1

Subtraction: Subtracting Tens

2.NBT.8, 2.NBT.5, 2.NBT.9

Why does only the tens digit change when subtracting tens from a 2-digit number?

7-2

Subtraction: Finding Parts of 100

2.NBT.5, 2.NBT.9

When one part of 100 is known, how can the other part be found?

7-3

Subtraction: Subtracting on a Hundred Chart

2.NBT.5, 2.NBT.9

How can a hundred chart be used to subtract 2-digit numbers?

7-4

Subtraction: Subtracting Multiples of 10

7-5

Problem Solving: Missing or Extra Information

2.NBT.8, How is subtracting groups of ten like subtracting numbers 2.NBT.5, less than ten?

2.NBT.9, 2.OA.1

2.NBT.5, 2.NBT.7

How do you know if there is extra information or missing information in a problem?

Teacher Notes

*

HHH Math 2nd Grade Curriculum Guide Unit/Topic 10: Place Value to 1,000 What number patterns are helpful in reading and writing numbers to 1,000?

How does a digit’s position affect its value?

11 Days

Lesson Number and Title

Common Core State Standard(s)

Essential Question(s)

10-1

Number: Building 1,000

2.NBT.1.b, 2.NBT.1.a, 2.NBT.2

How many ones make a ten, how many tens make a hundred, and how many hundreds make a thousand?

10-2

Number: Counting Hundreds, Tens, and Ones

2.NBT.1, 2.NBT.1.b, 2.NBT.3

How can a number be shown using hundreds, tens and ones and place-value models?

10-3

Number: Reading and Writing Numbers to 1,000

2.NBT.3, 2.NBT.1.a, 2.NBT.1.b

How do the digits of the number up to four digits long show the value of the number? (expanded form)

10-4

Number: Changing Numbers by Hundreds and Tens

2.NBT.8

How does a three-digit number change when it is increased or decreased by 10 or 100?

10-5

Number: Patterns with Numbers on Hundreds Charts

2.NBT.2, 2.NBT.8

How can you use place value to find and describe patterns?

10-6

Number: Skip Counting by 5, 10, 100 to 1,000

2.NBT.2

How can a number line be used to skip count?

10-7

Number: Comparing Numbers

2.NBT.4

How does understanding place value help you compare three-digit numbers?

10-8

Number: Ordering Numbers

2.NBT.4

How is ordering three numbers similar to comparing two numbers?

10-9

Problem Solving: Look for a Pattern

2.NBT.2, 2.NBT.4

How can finding number patterns help solve problems?

Teacher Notes

HHH Math 2nd Grade Curriculum Guide Unit/Topic 11: Three Digit Addition and Subtraction What are the ways to add and subtract three-digit numbers?

How does a digits positing affect its value?

11 Days

Lesson Number and Title

Common Core State Standard(s)

Essential Question(s)

11-1

Addition: Exploring Adding Three-Digit Numbers

2.NBT.7, 2.NBT.8, 2.NBT.9

What strategies can you use to add three-digit numbers?

11-2

Addition: Mental Math

2.NBT.7, 2.NBT.8, 2.NBT.9

How can you use mental math to add hundreds to a threedigit number?

11-3

Addition: Models for Adding with Three-Digit Numbers

2.NBT.7, 2.NBT.9

How can you model and record 2 three-digit numbers?

11-4

Addition: Adding ThreeDigit Numbers

2.NBT.7, 2.NBT.9

How do you add 2 three-digit numbers using pencil and paper?

11-5

Subtraction: Exploring Subtraction Three-Digit Numbers

2.NBT.7

What strategies can you use to subtract three-digit numbers?

11-6

Subtraction: Mental Math: Ways to Find Missing Parts

2.NBT.7, 2.NBT.8, 2.NBT.9

How can you count on or count back to find a missing part?

11-7

Subtraction: Models for Subtracting with ThreeDigit Numbers

2.NBT.7, 2.NBT.9

How can you regroup a hundred from the tens place?

11-8

Subtraction: Subtracting Three-Digit Numbers

2.NBT.7, 2.NBT.9

How do you subtract 2 three-digit numbers using paper and pencil?

11-9

Problem Solving: Use Logical Reasoning

2.NBT.7

How can you use logical reasoning to help solve problems?

Teacher Notes

Reminder: This is a lesson to expose them to the strategy. Have them choose whatever strategy works for them

HHH Math 2nd Grade Curriculum Guide Unit/Topic 12: Geometry How can shapes and solids be described, compared and used to make other shapes?

How does geometry better describe objects?

10 Days

Lesson Number and Title

Common Core State Standard(s)

Essential Question(s)

12-1

Geometry: Flat Surfaces, Vertices, and Edges

2.G.1

How are attributes, such as the number of flat surfaces, vertices, and edges used to describe and sort threedimensional figures?

12-2

Geometry: Relating Plane Shapes to Solid Figures

2.G.1

What plane shapes form the flat surfaces of some known solid figures?

12-3

Geometry Polygons and Angles

2.G.1

How can polygons (triangles, quadrilaterals, pentagons, and hexagons) be identified by attributes (sides, angles, and vertices)?

12-4

Geometry: Making New Shapes

2.G.1

How can new shapes be made by combining other shapes?

12-5

Geometry: Cutting Shapes Apart

2.G.1

How can cutting larger shapes make new smaller shapes?

12-6

Geometry: Diving Rectangles into Equal Squares

2.G.2

How can a rectangle be split into equal squares and the number of squares be counted correctly?

12-7

Geometry: Wholes and Equals Parts

2.G.3

What does “equal parts” mean? How do you know if it’s equal or unequal?

12-8

Problem Solving; Using Reasoning

2.G.1

How can you use clues about the attributes of plane shapes and solid figures to solve a problem?

Teacher Notes

HHH Math 2nd Grade Curriculum Guide Unit/Topic 13: Counting Money What strategies can be used to count money?

Why does “what” we measure influece “how” we measure?

Why display data in different ways?

8-9 Days

Lesson Number and Title

Common Core State Standard(s)

Essential Question(s)

Teacher Notes

Reminder: Students have little prior knowledge to coins and their values. You may want to supplement with introduction lessons.

13-1

Money: Coins

2.MD.8

How can you the value of a group of half-dollars, quarters, dimes, nickels, and pennies?

13-2

Money: Counting Collections of Coins

2.MD.8

How can you find the value of mixed coins?

13-3

Money: Ways to Show the Same Amount

2.MD.8

How can you show 100 cents or 1 dollar, with different groups of coins?

13-4

Money: One Dollar

2.MD.8

How do you count combinations of money with bills and coins?

13-5

Problem Solving: Make an Organized List

2.MD.8

How can an organized list show different ways to show the same amount of money?

HHH Math 2nd Grade Curriculum Guide Unit/Topic 14: Money How can sums and differences be estimated?

Why does “what” we measure influece “how” we measure?

Why display data in different ways?

How does a digits positing affect its value?

6 Days

Lesson Number and Title

14-1

Money: Adding Money

14-2

Money: Subtracting Money

14-3

14-4

Common Core State Standard(s)

Essential Question(s)

2.MD.8, 2.NBT.5, How is adding money amounts in cents similar to adding tens and ones?

2.NBT.9

2.MD.8, 2.NBT.5, 2.NBT.9

How is subtracting money amounts in cents similar to subtracting tens and ones?

Money: Estimating Sums 2.MD.8, 2.NBT.5, and Differences 2.NBT.9

How can you estimate a two-digit sum and difference?

Problem Solving: Try, Check, Revise

2.MD.8

How can trying a method, checking the result, and revising, if needed, be used to solve problems?

Teacher Notes

HHH Math 2nd Grade Curriculum Guide Unit/Topic 15: Measuring Length What is the process for measuring length?

Why does “what” we measure influece “how” we measure?

Why display data in different ways?

11 Days

Lesson Number and Title

Common Core State Standard(s)

Essential Question(s)

Teacher Notes

15-1

Measurement: Exploring Length

2.MD.1

How can you measure the length of an object using cubes, paper clips, crayons, etc.?

15-2

Measurement: Inches

2.MD.1, 2.MD.3

How are inches used to measure length?

*

15-3

Measurement: Centimeters

2.MD.1, 2.MD.3

How can you measure length using centimeters?

*

15-4

Measurement: Inches, Feet, and Yards

2.MD.3, 2.MD.1

What are inches, feet and yards?

*

15-5

Measurement: Centimeters and Meters

2.MD.3, 2.MD.1

Which classroom objects can be used estimate which standard unit of measurement should be used?

*

15-6

Measurement: Measuring Length

2.MD.2

Which unit of measure would you use more or less of to measure different objects?

15-7

Measurement: Adding and Subtracting in Measurement

2.MD.5

How can you use addition and subtraction to solve measurement problems?

15-8

Measurement: Comparing Lengths

2.MD.4

How can you compare the lengths of two paths?

15-9

Problem Solving: Use Objects

2.MD.3, 2.MD.1, How can you use objects to measure lengths of objects that are not straight?

2.MD.5

HHH Math 2nd Grade Curriculum Guide Unit/Topic 16: Time, Graphs and Data How can clocks, bar graphs, and pictographs be used to show data and answer questions?

Why does “what” we measure influece “how” we measure?

Why display data in different ways?

8 Days Lesson Number and Title

Common Core State Standard(s)

Essential Question(s)

Teacher Notes

You may need to review telling time to the hour and half-hour.

16-1

Time: Telling Time to Five Minutes

2.MD.7

How can the hands on an analog clock be arranged to show time?

16-2

Time: Telling Time Before and After the Hour

2.MD.7

What are different ways to say the times before and after the hour?

16-3

Graphs: Organizing Data

2.MD.10

How can you use a bar graph to organize information and compare data?

16-4

Graphs: Graphing Lengths

2.MD.9

How can you show the lengths of objects to see which is the longest or shortest?

16-5

Graphs: Pictographs

2.MD.10

How does showing data in a pictograph and a tally chart help you compare that data?

16-6

Problem Solving: Using a Graph

2.MD.10

How can you solve a problem by using a graph?

HHH Math 2nd Curriculum Guide Unit/Topic 17:

1 1

Grade Level Priorities

Lessons

Common Core State Standard(s)

Essential Understanding(s)

3-6, 4-4,, 6-5, 7-4, 8-9,9-9

2.OA.1

Represent and solve problems involving addition and subtraction. (Problem Solving)

2.OA.4

Work with equal groups of objects to gain foundations for multiplication

1 4-1, 4-2, 4-3 and Step Up Lesson 1 2

1 2.MD.1, 2.MD.2, 2.MD.3, - 15-2, 15-3, 15-4, 15-5 2.MD.4, 2.MD.5, 2.MD.6 3

1 4

5-4, 5-5, 5-7

2.NBT.1 and 2.NBT.5

Measure and estimate lengths in standard units. Relate addition and subtraction to length.

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

Teacher Notes