Unit Title: Comparing/Adding 2-Digit Numbers and Mentally Add/Subtract 10

Grade Level: 1

Time Frame: 18 Days

Designed by: Michelle McElhinny, Jennifer Bradley, Amanda Bratcher, Kristina Fleck Resources by: Michelle McElhinny, Jennifer Bradley, Amanda Bratcher, Kristina Fleck, Michelle King, Mary Price, Laura Devinney

CCSS - Math Standards: 1.NBT.1: Count to 120, starting at any number less than 120. In this range, read and write numerals and represent a number of objects with a written numeral. 1.NBT.3: Compare two two-digit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols >, =, and <. 1.NBT.4: Add within 100, including adding a two-digit number and a onedigit number, and adding a two-digit number and a multiple of 10, 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 and explain the reasoning used. Understand that in adding two-digit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten. 1.NBT.5: Given a two-digit number, mentally find 10 more or 10 less than the number, without having to count; explain the reasoning used. 1.NBT.6: Subtract multiples of 10 in the range 10-90 from multiples of 10 in the range 10-90 (positive or zero differences), 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 and explain the reasoning used.

STAGE 1 – DESIRED RESULTS Transfer Students will be able to independently use their learning to… Solve a variety of everyday problems by reasoning, communicating, and showing how numbers can be compared and related to each other.

Meaning ENDURING UNDERSTANDINGS Students will understand that…   

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Numbers can be represented in a variety of different ways. A Number has meaning based upon the place value of its digits. Recognizing the sequential pattern can help when reading, writing and counting numbers. The decade numbers to 100 are built on groups of ten. Place value can be used to compare and order numbers. They can add/subt 10 and explain why the processthey used was appropriate, and can support it with reasons and evidence. They can add/subt in a variety of different ways but some are more effective and efficient than others are. Adding and subtracting two‐digit numbers without regrouping can be achieved by adding or subtracting numbers first from the ones column and then the tens column. Adding and subtracting two digit numbers can be solved by lining the numbers up vertically in order to add or subtract the ones and tens place values. Place value can help determine which numbers are larger or smaller than other numbers. Comparing two 2-digit numbers is based on the meaning of the tens and ones digits, using <, >, or = to record the results of their comparisons.

ESSENTIAL QUESTIONS  

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Why is counting by 10’s important? How does the value of a digit change when its position in a number changes? How can you mentally find 10 more or 10 less? How can I use place value to compare and order numbers?’ How do you add 2-digit numbers? How do you subtract 2-digit numbers?

Acquisition Students will know…  

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How to read, write, and represent numbers to 120. That the place-value system is a way of writing numbers to show the value of each digit. Patterns on the hundred chart That numbers 10, 20,30, 40,50,60, 70, 80, 90 refer to one, two, three, four, five, six, seven, eight, or nine tens (and 0 ones). How to count by 10’s How to mentally add and subtract 10. How to explain how they added or subtracted 10. The choose the most effective strategy when solving addition and subtraction facts. How to compare and order numbers to 100 How to add 2-digit numbers. How to subtract 2-digit numbers.

Students will be able to… 

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Count, read, and write numbers to 120 in different ways Use base ten cubes to show addition and subtraction problems. Compare and order numbers to 120 Record the results of comparisons with <,> or = symbols. Add or Subtract multiples of 10 in the range of 10-90 Identify ten more or ten less than. Mentally find 10 more or 10 less than a number without having to count Explain their problem‐solving steps when adding and subtracting two digit numbers.

STAGE 2 - EVIDENCE Assessment Evidence

Evaluative Criteria

PERFORMACE TASK (S):       

Summative and formative assessments Mental Math Problems of the day Homework Math Games Math Center Activities Mental math activities Fact Fluency Practice

OTHER EVIDENCE:        

Teacher observation Anecdotal Records Collaboration with Peers Homework review Self-reflections Math centers recording sheets Class discussion of essential questions Student Journals

STAGE 3 – LEARNING PLAN Key Vocabulary digit, base ten, hundreds, tens, ones, value, mental math, compare, bigger, smaller, same, greatest, least, greater than, less than, equal to, column

Student Rubric Show students the “2-Digit Numbers” rubric for Unit 4 on Day 1. This will help them understand all that they must be able to do by the end of the unit. On the last day of the unit, students can complete the rubric to evaluate their own learning.

Teacher Checklists Use the teacher checklists found at the end of this document throughout each part of this unit. Teacher makes observations while students are working on a designated task and gives checks for each area. This document will guide your instructions, intervention groups, and assist in filling out report cards.

Hook You may or may not have a hook each day. As you begin your lesson, find a way to engage your learners with a song, poem, dance, etc. BE CREATIVE!

Mental Math Problems of the Day Each day do Mental Math Problems (choose the time of day that works best for you). Use addition and subtraction facts that include addition and subtraction within 20 and also finding 10 more and 10 ten less.

Resource List Use the resource list at the end of this document to choose activities for the hook, mini lesson, and student engagement based on the topic of the day.

Student Practice As students practice skills each day, activities can be differentiated to meet students’ academic abilities and learning styles.

Unit Sequence Represent Numbers up to 120 Review: Counting, Reading, Writing -Counting by 10’s 10 More/ 10 Less -Hundreds Chart/Number Line -Place Value Cubes (2 tens + 1 ten=3 tens or 30) Mentally find 10 more/10 less (explain reasoning) Adding 2 Digit Numbers to 1 Digit Numbers Adding 2 Digit Numbers to 2 Digit Numbers Compare 2 2-Digit Numbers (Using place value mats and hundreds charts) -Bigger/Smaller -Greater/Less -Symbols <, >, = 9>5

Unit 4: Comparing/Adding 2-Digit Numbers and Mentally Add/Subtract 10 Day 1

Day 2

Day 3

Day 4

1. Unit 4 Pretest-Optional 2. Introduce Essential Questions, Learning Rubric, and Key Vocabulary. 3. Mental Math 4. Hook 5. Mini Lesson: Review Counting, Reading, and Writing Numbers to 120 6. Students Practice: Use the hundreds chart and number line to locate numbers before, after, and between. 7. Math Centers 8. Math Journal Writing

1. Mental Math 2. Hook 3. Mini Lesson: Review Representing Numbers in a Variety of Ways 4. Students Practice: Writing numbers to 120 using tallies, base ten cubes, number words, number line, addition/subtraction, hundreds chart, objects, tens frames, etc. 5. Math Centers 6. Math Journal Writing

1. Mental Math 2. Hook 3. Mini Lesson: Counting by 10’s 4. Students Practice: Use hundreds charts, number lines, tens frames, and base ten cubes to count by 10. 5. Math Centers 6. Math Journal Writing

1. Mental Math 2. Hook 3. Mini Lesson: 10 More/10 Less 4. Students Practice: Use hundreds chart and number line to find/show 10 more and 10 less. 5. Math Centers 6. Math Journal Writing

Day 6

Day 7

Day 8

Day 9

1. Mental Math 2. Hook 3. Mini Lesson: Mentally Finding 10 More/10 Less 4. Students Practice: Use known strategies to find 10 more and 10 less mentally. 5. Math Centers 6. Math Journal Writing

Day 11 1. Mental Math 2. Hook 3. Mini Lesson: Adding 2-digit numbers to 2-digit numbers 4. Students Practice: Line up numbers into tens and ones columns to add numbers. 5. Math Centers 6. Math Journal Writing

Day 16 1. Mental Math 2. Hook 3. Mini Lesson: Comparing Numbers Using Symbols 4. Students Practice: Use greater than and less than symbols to compare numbers. 5. Math Centers 6. Math Journal Writing

1. Mental Math 2. Hook 3. Mini Lesson: Explaining 10 more/10 less 4. Students Practice: Use math language to explain 10 more and 10 less. 5. Math Centers 6. Math Journal Writing

Day 12 1. Mental Math 2. Hook 3. Mini Lesson: Comparing Numbers Using Base Ten Cubes 4. Students Practice: Use base ten cubes to find which number is bigger/smaller. 5. Math Centers 6. Math Journal Writing

Day 17 1. Mental Math 2. Hook 3. Mini Lesson: Review 4. Students Practice: Review 5. Math Centers 6. Math Journal Writing

1. Mental Math 2. Hook 3. Mini Lesson: Adding 2-digit numbers to 1-digit numbers 4. Students Practice: Use base ten cubes and mats to add numbers. 5. Math Centers 6. Math Journal Writing

Day 13 1. Mental Math 2. Hook 3. Mini Lesson: Comparing Numbers Using Hundreds Chart 4. Students Practice: Use the hundreds chart to find which number is greater/less 5. Math Centers 6. Math Journal Writing

Day 18 1. Unit 4 Test 2. Review Essential Questions, Learning Rubric, and Key Vocabulary. 3. Math Centers 4. Math Journal Writing

1. Mental Math 2. Hook 3. Mini Lesson: Adding 2-digit numbers to 1-digit numbers 4. Students Practice: Line up numbers into tens and ones columns to add numbers. 5. Math Centers 6. Math Journal Writing

Day 5 1. Mental Math 2. Hook 3. Mini Lesson: 10 More/10 Less 4. Students Practice: Use place value cubes to find/show 10 more and 10 less. 5. Math Centers 6. Math Journal Writing

Day 10 1. Mental Math 2. Hook 3. Mini Lesson: Adding 2-digit numbers to 2-digit numbers 4. Students Practice: Use base ten cubes and mats to add numbers. 5. Math Centers 6. Math Journal Writing

Day 14

Day 15

1. Mental Math 2. Hook 3. Mini Lesson: Comparing Numbers Using Objects (*Symbols) 4. Students Practice: Use objects to find which pile is the greatest/least using symbols. 5. Math Centers 6. Math Journal Writing

1. Mental Math 2. Hook 3. Mini Lesson: Comparing Numbers Using Balance (*Symbols) 4. Students Practice: Use a number balance to find which side is greater than or less than using symbols. 5. Math Centers 6. Math Journal Writing

Unit 4 RESOURCES PLACE VALUE

COMPARING NUMBERS

2-DIGIT ADDITION

2-DIGIT SUBTRACTION

10 MORE/10 LESS

TPT RESOURCES Resources for Finding Ten More/Ten Less Mentally & With 100’s Chart: http://www.teacherspayteachers.com/Product/Common-Core-Based-Presidential-Adding-Tens-FREEBIE (FREE) http://www.teacherspayteachers.com/Product/Show-Me-Patterns-on-a-Hundred-Chart-Common-Core (FREE) http://www.teacherspayteachers.com/Product/Hundred-Chart-Flip-the-Flap-Cards (FREE) http://www.teacherspayteachers.com/Product/Ten-More-and-Ten-Less ($1.00) http://www.teacherspayteachers.com/Product/Ten-Away-Monster-Matchup-Math-Center-Game-for-2NBT8-add-subtract-10 ($1.00) http://www.teacherspayteachers.com/Product/One-More-One-Less-Ten-More-Ten-Less-Detective-Work ($1.00) http://www.teacherspayteachers.com/Product/Spring-Ten-More-Ten-Less-One-More-One-Less-Activity ($2.00) SmartBoard file http://www.teacherspayteachers.com/Product/Ten-More-Ten-Less-Winter-Activities-Double-digit-Triple-digit-Numbers ($3.50) http://www.teacherspayteachers.com/Product/More-or-Less-Mini-Unit ($5.00) http://www.teacherspayteachers.com/Product/Valentine-One-more-One-Less-Ten-more-Ten-Less ($6.00)

Resources for Adding Within 120, Counting to 120, & Adding 2-Digit Numbers: http://www.teacherspayteachers.com/Product/Double-Digit-Addition (FREE) http://www.teacherspayteachers.com/Product/Double-Digit-Math-Anchor-Charts-Without-Regrouping (FREE) http://www.teacherspayteachers.com/Product/Double-Digit-Addition-Games-Tic-Tac-Toe-and-a-Dice-Game-Freebies (FREE) http://www.teacherspayteachers.com/Product/Double-Digit-Addition-and-Subtraction-Mega-Pack ($8.00) Differentiated--High/Low http://www.teacherspayteachers.com/Product/1NBT4-Adding-2-Digit-Numbers-common-core-aligned ($3.00) SmartBoard File http://www.teacherspayteachers.com/Product/Two-Digit-Addition-Domino-Game-No-Regrouping ($1.75) http://www.teacherspayteachers.com/Product/0-120-Charts-and-Activities-Common-Core ($4.00) http://www.teacherspayteachers.com/Product/Adding-Tens-Math-Center-Intro-to-2-Digit-Addition-with-a-100-Chart ($1.00) http://www.teacherspayteachers.com/Product/Two-digit-addition-matching-games-with-NO-regrouping ($2.00) http://www.teacherspayteachers.com/Product/Two-Digit-Addition-Rap-PowerPoint ($2.00) (PowerPoint SONG)

Resources for Comparing 2-Digit Numbers (Less Than, Greater Than): http://www.teacherspayteachers.com/Product/Greater-Than-Less-Than-with-Mr-Alligator (FREE) http://www.teacherspayteachers.com/Product/Greater-Than-Less-Than-Equal-To-Dice-Game ($1.00) http://www.teacherspayteachers.com/Product/Comparing-Numbers-Grade-1-3-POWERPOINT ($2.00) (Powerpoint) http://www.teacherspayteachers.com/Product/Greater-Than-Less-Than-Equals-Fun ($3.00) http://www.teacherspayteachers.com/Product/Greater-Than-Less-Than-and-Equal-To-Pack ($3.20) http://www.teacherspayteachers.com/Product/Comparing-Numbers-Scavenger-Hunts ($5.00) http://www.teacherspayteachers.com/Product/Comparing-Numbers-GreaterLess-Than-Math-Centers-Common-Core-Go-Math($5.88) Other Math Resources: http://www.guided-math.com/p/resource-books.html http://www.k-5mathteachingresources.com/addition-and-subtraction-activities.html

INTERNET RESOURCES Websites for students:  www.Coolmath4kids.com  www.mathcats.com  www.mathisfun.com  www.dositey.com  www.mathplayground.com  Study Island  www.Illuminations.nctm.org  www.AAAmath.com  Anticipated resources for Teachers:  Macmillan/McGraw-Hill Math (chapters 7,8)  Manipulatives  Math literature books  Math Games  NCTM- Illuminations  http://www.ixl.com/math/grade/first/  http://cte.jhu.edu/techacademy/web/2000/heal/mathsites.htm  wwwPBS.org/teachers  www.khanacademy.org  www.jologriffin.com (math poems)  http://www.ixl.com/math/grade/first/  http://cte.jhu.edu/techacademy/web/2000/heal/mathsites.htm  Young Mathematicians at Work by Catherine Twomey Fosnot  www.uen.org/Lessonplan  www.firstgradeliteracylinks.com  https://docs.google.com/file/d/0B3D5Bsh09DJKMjk3M2JhNDQtMDhlMS00MjcxLWExNjEtYTUxNDIzMzg1MTY5/edit?hl=en_US& pli=1

BOOK RESOURCES A place for zero by Angeline Sparagna LoPresti A Million dots by Andrew Clements How much is a million by David Stewart Sir Circumference and All the king’s tens by Cindy Neuschwander Two of everything by Lily Toy Hong One grain of rice by Demi Math Fables by Greg Tang How big is a million? By Anna Milbourne 10 Little Rubber Ducks by Eric Carle The 100th Day of School by Trudy Harris Caps for Sale by Esphyr Slobodkina Even Steven and Odd Todd by Kathryn Cristaldi Ten black Dots by Donald Crews Anno’s Magic Seeds by Mitsumasa Anno 98, 99, 100! Ready or Not Here I Come! By Teddy Slater 100 Ways to get to 100 by Jerry Pallotta A Cache of Jewels by Ruth Heller Blast Off! A Space Counting Book by Norma Cole Can you count to a googol? By Robert E. Well Count on Pablo by Barbara deRubertis Give the Dog a Bone by Steven Kellogg The funny little woman by Arlene Mosel Icky bug Numbers by Jerry Pallotta In my garden by Ward Schumaker Monster Math by Anne Miranda Ocean Parade by Patricia MacCarthy One Hundred is a family by Pam Ryan The Wolf’s Chicken Stew by Keiko Kasza Five Creatures by Emily Jenkins Ten Black Dots by Donald Crews Quack and Count by Keith Baker 100 Hungry Ants by Elinor Pinczes Mouse Count by Ellen Stoll Walsh Rooster’s Off to See the World by Eric Carle Ten Sly Piranhas by William Wise M&M Birthday Book by Barbara McGarth M&M Count to One Hundred Book by Barbara McGrath

Why is counting by 10’s important?

How does the value of a digit change when its position in a number changes?

How can you mentally find 10 more or 10 less?

How do you add 2-digit numbers?

How do you subtract 2-digit numbers?

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Unit 4

2-Digit Numbers I can… Count numbers to 120. Read numbers to 120. Write numbers to 120. Order numbers to 120. Count by 10’s. Find 10 more/10 less.

http://oursweetsuccess.blogspot.com

Created by Michelle McElhinny © 2013

Mentally find 10 more/10 less. Explain how to find 10 more/10 less. Use base ten cubes to add. Use base ten cubes to subtract. Add 2-digit numbers to 1-digit numbers.. Add 2-digit numbers to 2-digit numbers.. Compare numbers to 120. Compare numbers to 120 using symbols.

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I will be able to…  Count, read, and write numbers to 120.  Order numbers to 120.  Count by 10’s.  Add and Subtract 10  Mentally find 10 more/10 less  Add and subtract facts within 20  Explain how to find 10 more/10 less  Use base ten cubes to add/subtract  Add and subtract 2-digit numbers  Find the bigger and smaller number  Use symbols to compare numbers

Created by Michelle McElhinny © 2013

http://oursweetsuccess.blogspot.com

My Learning Rubric I CAN…

YES!! I CAN do that!

I’m almost there!

It’s still hard for me!

Count numbers to 120.

Read numbers to 120.

Write numbers to 120.

Put numbers in order from 1-120. Count by 10’s.

Add and subtract 10 to find the answer. Add and subtract 10 in my brain to find the answer. Explain how to find 10 more and 10 less. Add and subtract 2-digit numbers. Find the bigger and smaller number. Use symbols to compare numbers.

Created by Michelle McElhinny © 2013

http://oursweetsuccess.blogspot.com