4.2.2Ma


 * Grade: 4 Unit: 2 Week: 2 Content: Math Dates: 9/24 -9/28 **


 * Theme Essential Question: ** Why is number sense important to understand mathematics?


 * Essential Questions: **
 * How can I round a whole number to any place up to 1,000,000?
 * How can I use a variety of strategies, including the standard algorithm, to fluently add and subtract multi-digit whole numbers?
 * How can I determine (know) if any answer is reasonable (makes sense)?
 * How can I write an equation for problems with/without variables?
 * How can I solve multi-step problems?
 * How can I know which operation to use?


 * Standards **
 * ** 4.OA.3 ** Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations (addition and subtraction). Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
 * ** 4.NBT.1 ** Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700÷70= 10 by applying concepts of place value and division
 * ** 4.NBT.2 ** Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >,=, and < symbols to record the results of comparisons.
 * ** 4.NBT.3 ** Use place value understanding to round multi-digit whole numbers to any place.
 * ** 4.NBT.4 ** Fluently add and subtract multi-digit whole numbers using the standard algorithm.


 * Objectives **
 * I can round a whole number to any place up to 1,000,000.
 * I can use a variety of strategies, including the standard algorithm, to fluently add and subtract multi-digit whole numbers.
 * I can determine (know) if any answer is reasonable (makes sense).
 * I can write an equation for problems with/without variables.
 * I can solve multi-step problems.
 * I know which operation to use.


 * Assessment **
 * Product **
 * Students complete End-of-Unit Assessment (Session 4.7 Math Investigations)
 * Students will solve the following problem showing each step of the process: Claire wants to buy a bicycle that costs $237.25 (tax included). She has $132.98 in savings. She has received $50.00 from her grandmother. How much more money does she need to buy the bike?


 * Key Questions (match ** Standard**)**
 * Can students read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form?
 * Can students compare two multi-digit numbers based on meanings of the digits in each place, using >,=, and < symbols to record the results of comparisons?
 * Can students fluently add and subtract multi-digit whole numbers using a variety of strategies, including the standard algorithm?


 * Observable Student Behaviors ** (Performance)

1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||
 * ** Mathematical Practices **

Multi-digit Whole Number Place Properties of Operations Standard Algorithm *Use *Round *Perform *Add *Subtract ||
 * Vocabulary **
 * ** Math ** ||
 * Place Value Understanding

Gizmos: Launch clowns from a circus cannon and try to hit the target. Drag digit cards on the control panel to set the launch distance and choose an appropriate unit of distance. After practicing your clown-launching skills on a number line, move on to the Big Top, Football Field, School Buses, the Golden Gate Bridge, and more! Teacher Guide and Student Exploration Sheet Available Place points on a number line. Round these values to the nearest ten or hundred. Visualize rounding by showing the number line as a hill or series of hills. These hills cause the points to roll to the nearest valley (nearest multiple of ten or one hundred). Teacher Guide and Student Exploration Sheet Available You are the captain of an interplanetary cargo ship, delivering important supplies to the outer planets. The cargo can be stored in barrels, crates, and holds. (There are 10 barrels in a crate, and 10 crates in a hold.) Model multi-digit subtraction by unloading cargo on each planet. Teacher Guide and Student Exploration Sheet Available Play an addition card game! The goal is to create a sum that is as close as possible to the target sum. Students will deepen their understanding of place value as they get better at playing the game. Many game options allow students to vary the game for more practice. The game can be played with one or two players**.** Teacher Guide and Student Exploration Sheet Available**.** These lessons focus on solving substraction problems by breaking numbers apart; adding 3- and 4- digit numbers; finding combinations of 3-digit numbers that add up to 1,000; solving multi-step addition and subtraction problems ; combining positive and negative numbers; representing addition and subtraction on a number line; using clear and concise notation for recording addition and subtraction strategies; identifying, describing and comparing subtraction strategies by focusing on how each strategy starts; developing arguments about how the differences represented by two subtraction expressions are related (e.g., 432 – 198 and 432 – 200); using story contexts and representations to support explanations about related subtraction expressions; understanding the meaning of the steps and notation of the U.S. algorithm for subtraction. Suggested Games: Close to 100 (Math Investigations); Close to 1,000 (Math Investigations); Changing Places (Math Investigations); Place Value Paths (Nimble with Numbers, 4-5); Surrounding Digits (Nimble with Numbers, 4-5); Subtracting to Zero (Nimble with Numbers, 4-5); 1,000 and Out (Nimble with Numbers, 4-5);
 * Suggested Activities **
 * ** Cannonball Clowns (Number Line Estimation) **
 * ** Rounding Whole Numbers (Number Line) **
 * ** Cargo Captain (Multi-digit Subtraction) **
 * ** Target Sum Card Game (Multi-digit Addition) **
 * __ Math Investigations __ Unit 5 – Landmarks and Large Numbers – Sessions 4.4 -4.7


 * Homework **

** E ** thnicity/**C**ulture | **I**mmigration/**M**igration | **I**ntercultural **C**ompetence | **S**ocialization | **R**acism/**D**iscrimination ** High Yield Strategies ** ** S ** imilarities/**D**ifferences | **S**ummarizing/**N**otetaking | **R**einforcing/**R**ecognition | **H**omework/**P**ractice | ** N ** on-**L**inguistic representation | **C**ooperative **L**earning | **O**bjectives/**F**eedback | ** G ** enerating-**T**esting **H**ypothesis | **C**ues, **Q**uestions, **O**rganizers || || Lesson Plan in Word Format (Click Cancel if asked to Log In)
 * Terminology for Teachers **
 * ||  ** Multicultural Concepts **


 * __ Resources __**
 * Professional Texts **
 * Math Investigations

** Literary Texts **

** Informational Texts **


 * Art, Music, and Media **


 * Manipulatives **


 * Games **
 * Close to 100 (Math Investigations); Close to 1,000 (Math Investigations); Changing Places (Math Investigations); Place Value Paths (Nimble with Numbers, 4-5); Surrounding Digits (Nimble with Numbers, 4-5); Subtracting to Zero (Nimble with Numbers, 4-5); 1,000 and Out (Nimble with Numbers, 4-5);

** Videos **

** Sight Words **

Judging Reasonable Answers Students will estimate to judge if answers are reasonable in addition, subtraction, division, and multiplication problems. Problem Solving Strategies: inverse operations Solve problems using inverse operations. Problem Solving Strategies: patterns and tables Solve problems by extending the pattern, finding the rule and using tables. Place Value Build understanding of place value (hundredths through millions place). Division Strategies for dividing numbers - up to three-digit by two-digit division. Finding the Average Introduce mean average using a line plot. Measures of Central Tendency Describe the distribution of data using mean, median, range and mode. Include minimum and maximum values (outliers). Addition and Subtraction Develop and analyze strategies for adding and subtracting numbers. @http://exchange.smarttech.com/details.html?id=03df2f2d-87a3-4c20-9323-b4215a936429 Algebra lesson focusing on balancing equations with shapes @http://exchange.smarttech.com/details.html?id=4e1166b5-4b9c-4b21-b8aa-0b7df795bda0 Students are learning about place value, vocabulary, standard form and expanded form @http://exchange.smarttech.com/details.html?id=c0bd2c75-fa37-4e1e-b881-4729b162cb6d A concrete way to help students understand the meaning of place value. Place value rap and interactive games motivate and hold student interest. Used in a 3rd grade SCLC class, but can be modified for a general 3rd or 4th grade classroom @http://exchange.smarttech.com/details.html?id=a7a03c07-e19e-45ee-b651-fceb615428f4 Students will be able to determine the place value of numbers to the hundred millions place @http://exchange.smarttech.com/details.html?id=8834298a-fbda-4ff6-a84b-0b5bb0f47ce1 Place value review through millions as well as extra practice sheets attached as an additional resource. Games are linked to allow for practice in small groups ranging from easy to more difficult. @http://exchange.smarttech.com/details.html?id=b5d0a3f8-b75c-409e-940b-c641a817020a interactive lesson activities compatible with Singapore Math @http://exchange.smarttech.com/details.html?id=02f5edb7-9e80-4a98-968d-a5588841145e Introduction to place value, standard form, word form, and expanded form @http://exchange.smarttech.com/details.html?id=3bbc5a1f-1788-48b7-a660-cc0c6d1ed9c8 This lesson correlates to 3rd grade Everyday Math lesson 5.1. Students will first practice the place value place names and identifying which place each digit is in. They will then build numbers and write those numbers in expanded form. Finally, students will build numbers and put them in order @http://exchange.smarttech.com/details.html?id=da41864f-9b95-4489-be23-7db1c270bffb This lesson is a review of a 4th grade standard. Students must understand this concept before being able to round or estimate very large numbers (the 5th grade standard). In this lesson activity, students review the vocabulary place value, number,and digit. They will make a place value reference chart to help them sort a data set. There is also an extension game students can play @http://exchange.smarttech.com/details.html?id=c957537e-e454-4ec5-bcf1-d1ca84a5e417 expanded and standard form of numbers @http://exchange.smarttech.com/details.html?id=711a7424-5123-4a82-b652-e1ff57b63bbb This lesson was designed to help students practice their place value. @http://exchange.smarttech.com/details.html?id=0faf388b-620e-4644-aedd-2d88f790d9a8 This lesson activity provides practice in place values @http://exchange.smarttech.com/details.html?id=833c865f-aa7a-4167-a08d-880b4d9663c1 A math lesson that introduces more than, less than, and equalstoo @http://exchange.smarttech.com/details.html?id=26165bba-8ad0-4e59-b4ac-18ef82bd6576 A 21 page place value unit that reviews standard, written and expanded forms. Includes sounds, links, interactive activities, worksheets and descriptions for each page @http://exchange.smarttech.com/details.html?id=10fc4fcb-4581-451b-a998-943f9a44a537 Students will be interactive with numbers up to 9 digits @http://exchange.smarttech.com/details.html?id=5759635f-8e1e-4b4a-a800-9e1f84448ff5 Review / practice of number forms - expecially expanded form @http://exchange.smarttech.com/details.html?id=8d9722d8-29a7-4e4c-967f-2af4d355e42a Use Senteo interactive response system to test knowledge of expanded notation @http://exchange.smarttech.com/details.html?id=0695db67-32d6-45c0-ae80-452ddb733d54 This lesson reviews and reinforces place value vocabulary and concepts @http://exchange.smarttech.com/details.html?id=da52c858-3ae0-4490-8975-9c82afbe694a Academic Vocabulary. Understanding standard form @http://exchange.smarttech.com/details.html?id=b1e2159a-66f1-47d0-8aaf-51459710a4e2 Using landmark numbers between 0-10,000 @http://exchange.smarttech.com/details.html?id=6b5f010b-ff56-46cf-b3c9-ac06f778165d This lesson teaches the basics for rounding numbers using a number line and place value @http://exchange.smarttech.com/details.html?id=636d7a41-e399-4793-abf5-9525ae4e73d8 Rounding numbers and money @http://exchange.smarttech.com/details.html?id=079cf397-38f1-4cb0-964d-8a49d3f3804c I changed this a little bit to make it more interactive with the kids. It adds using the eraser and things for students to do. The lesson is about rounding. It has a placevalue reveiew at the beginning @http://exchange.smarttech.com/details.html?id=0bfd6bb0-5e47-48ae-897a-8e9c8b05fc06 Use the Senteo interactive response system to round integers up and down. @http://exchange.smarttech.com/details.html?id=f816648f-3aad-44a0-9d06-4736cb20f881 Round to the nearest tens and hundreds @http://exchange.smarttech.com/details.html?id=b23012d6-7e5e-4c20-acb5-9a204b3339e3 This activity will review basic concepts of subtraction: when to subtract estimation regrouping subtracting 2 digit numbers subtracting 3 digit numbers subtracting across zero @http://exchange.smarttech.com/details.html?id=c38fa9e0-8ff7-4504-9a4a-3831e5ea0877 Add and subtract 2-digit numbers with and without trading @http://exchange.smarttech.com/details.html?id=a71aa4a2-13dd-4360-a2e7-f28040ccae3f This lesson activity introduces subtraction with borrowing with practice exercises @http://exchange.smarttech.com/details.html?id=087d24d6-b376-4111-a528-b3cdd7a54df1 A caller say a number up to 12, teams double it and swat the number on a board with a fly swatter. Points kept on a scoreboard. Adaptable for number identification, addition, subtraction, multiplication and division @http://exchange.smarttech.com/details.html?id=a08d26ba-7f35-4d4d-8b10-f9b785b15c9f Practice in subtrating larger number with regrouping @http://exchange.smarttech.com/details.html?id=e42e9501-83a2-4efa-9b32-b6077533914d Grade 4 subtraction unit with correlated GLEs, learning targets, learning activities, notes pages, and worksheets @http://exchange.smarttech.com/details.html?id=d2ba3a4a-d85d-4f7e-988f-3078cc78d95f Students tap on each of the stars to get a random number and then write the numbers in the blocks. They then add the numbers together and may check their answers using the calculator provided @http://exchange.smarttech.com/details.html?id=dbae49b3-65fe-46f9-b9ab-db69ee23b2db Adding Three Digit Numbers with Regrouping @http://exchange.smarttech.com/details.html?id=362e232d-4121-4e34-a5ce-3e5e1a132af3 Practie in addition with regrouping @http://exchange.smarttech.com/details.html?id=08088143-d212-47c6-9450-376ed2c3c914 Students will gain an understanding of three different algorithms to add two digit numbers. The lesson has examples and a quiz at the end
 * SMART Board Lessons, Promethean Lessons **
 * ** AEGOM Lesson: G4M008 **
 * ** AEGOM Quiz: G4M008 **
 * ** AEGOM Lesson: G4M009 **
 * ** AEGOM Quiz: G4M009 **
 * ** AEGOM Lesson: G4M010 **
 * ** AEGOM Quiz: G4M010 **
 * ** AEGOM Lesson: G4M001 **
 * ** AEGOM Quiz: G4M001 **
 * ** AEGOM Lesson: G4M004 **
 * ** AEGOM Quiz: G4M004 **
 * ** AEGOM Lesson: G4M022 **
 * ** AEGOM Quiz: G4M022 **
 * ** AEGOM Lesson G4M023 **
 * ** AEGOM Quiz: G4M023 **
 * ** AEGOM Lesson: G4M002 **
 * ** AEGOM Quiz: G4M002 **
 * **Balance Equations**
 * **Place Value**
 * **Place Value Introduction**
 * **Place Value**
 * **Place Value Review for 3-5 graders**
 * **Place Value**
 * **Place Value Through Millions**
 * **Place Value to the Ten-Thousands Place**
 * **Reviewing Place Value of Very Large Numbers**
 * **math expanded form**
 * **Place Value**
 * **Place Value to Hundreds**
 * ** Comparing Whole Numbers **
 * **Place Value Pumpkins**
 * **Place value**
 * ** Math Expanded Form **
 * **Expanded Notation (Question set)**
 * **Numeration**
 * **Standard Form**
 * **Landmarks in the Thousands**
 * **Rounding Whole Numbers**
 * **Rounding**
 * **The King Said, "Off With Their Heads."**
 * **Rounding Integers (Question set)**
 * **Technology Facilitator**
 * **Subtraction Review**
 * ** 2-digit Number Computation **
 * **Subtracting Large Numbers**
 * **Swat at the Facts**
 * **Subtraction Activity**
 * **Subtraction Unit**
 * **Addition Snowman (3-digit with regrouping)**
 * **Adding three digit numbers**
 * **Fourth Grade Addition Activity**
 * **Math: Basic Addition with Algorithm**

// @http://illuminations.nctm.org/LessonDetail.aspx?ID=L317 // This lesson builds on the previous lesson and encourages students to explore another model for multiplication, the familiar set model. Students find products using equal sets and present results in the form of a table. The students apply their knowledge about multiplication in the creation of pictographs. // @http://illuminations.nctm.org/LessonDetail.aspx?ID=L528 // Students examine the role of commutativity and the multiplicative identity, play a multiplication game, and explore products where one of the factors is 6. They also create a "My Personal Multiplication Chart" to record products // @http://www.teachersdomain.org/resource/vtl07.math.algebra.var.lpfunction/ // In this //Cyberchase// activity, students watch a video clip in which Hacker creates a cyberfrog with numeric buttons that produce different numbers of hops. The relationship between input and output values is used to teach students how to use algebraic expressions and, subsequently, equations. // @http://illuminations.nctm.org/LessonDetail.aspx?ID=L316 // In this lesson, students generate products using the number line model. This model highlights the measurement aspect of multiplication and is a distinctly different representation of the operation. The order (commutative) property of multiplication is also introduced. Students are encouraged to predict products and to answer puzzles involving multiplication // @http://illuminations.nctm.org/LessonDetail.aspx?ID=L329 // By playing card games and using the The Product Game applet, students practice the multiplication facts. As students continue to master their facts, the teacher closely monitors their progress // @http://illuminations.nctm.org/LessonDetail.aspx?ID=L529 // Students create multiplication stories where one factor is 6 or 7, and play a multiplication game to help them master their multiplication facts // @http://illuminations.nctm.org/Lessons/Architect/Architect-AS-ProbSolvTasks.pdf // This reproducible activity, from an Illuminations lesson, leads students through a series of exercises and questions pertaining to the construction of an originally-designed clubhouse. They are asked to consider how much paint they will need to cover the walls, what they will need to do to make a mosaic floor pattern, what materials they will need for the roof and more The following activities help children to develop number sense through activities involving collection, representation, and analysis of data. In addition, children practice reading and writing large numbers and use estimation to arrive at appropriate answers. This unit was adapted from "Count on Mathematics for Number Sense," by William R. Speer and Daniel J. Brahier, which appeared in Teaching Children Mathematics, vol. 2, no. 6, p. 351-56 // @http://illuminations.nctm.org/LessonDetail.aspx?ID=U86 // In the following lessons, students participate in activities in which they focus on the role of numbers and language in real-world situations. Students are asked to discuss, describe, read, and write about numbers they find in familiar real-world situations. The emphasis on using components of language helps students build a broader vocabulary of numbers than the traditional symbolic representation of numbers. The activities also help develop good number sense. // @http://illuminations.nctm.org/LessonDetail.aspx?ID=L229 // In this lesson, students participate in activities in which they focus on the uses of numbers. The activities explore how students use numbers in school and every day settings as a way for students and the teacher to get to know each other at the beginning of the school year. // @http://www.teachersdomain.org/resource/vtl07.math.algebra.pat.arrange1/ // In this video segment from //Cyberchase,// Matt and Digit need to set up tables so that 20 workers will each have a spot at a table in order to assemble their circuit boards. Matt and Digit want to know the number of tables they need so that they can transport them all at once. Matt decides to use small shingles to represent the tables and washers to represent workers. He tests his ideas by positioning the washers around the shingles. Check out "Arrangement 2" and "Arrangement 3" to view Matt's other attempts to solve the problem. // @http://www.teachersdomain.org/resource/vtl07.math.algebra.pat.arrange2/ // In this video segment from //Cyberchase,// Matt and Digit need to set up tables so that 20 workers will each have their own spot at a table as they assemble circuit boards. After arranging workers around five tables (in video segment "Arrangement 1"), Matt finds that there are still six workers without seats. He must go back to the drawing board to figure out how many more tables he needs to seat every worker. Check out "Arrangement 3" to see how Matt finally solves the problem. // @http://www.teachersdomain.org/resource/vtl07.math.algebra.pat.arrange3/ // In this video segment from //Cyberchase//, Matt and Digit need to set up tables so that 20 workers will each have their own spot at a table as they assemble circuit boards. They only have five tables, and they found out that when the tables were put together in video segment "Arrangement 1" there were not enough seats for all the workers. Since he cannot add any more tables, Matt realizes that perhaps changing the positioning of the tables will provide the extra seats they need. Check out "Arrangement 2" to watch one of Matt's other attempts to accommodate the 20 workers
 * Other Activities, etc. **
 * ** Exploring Equal Sets **
 * ** Finding Products **
 * ** From Patterns of Input and Output to Algebraic Equations **
 * ** Hopping on the Number Line **
 * ** Keeping It All Together **
 * ** Multiplication Stories **
 * ** Problem-Solving Tasks **
 * ** Count on Math Unit **
 * @http://illuminations.nctm.org/LessonDetail.aspx?ID=U96 **
 * ** Numbers and Language Unit **
 * ** Numbers and Me **
 * ** Arrangement 1 **
 * ** Arrangement 2 **
 * ** Arrangement 3 **
 * __ Nimble with Numbers __ – Gr. 3-4, Place Value pg. 61-78; Addition pg. 79-95; Subtraction pg. 97-114
 * __ Nimble with Numbers __// - // Gr 4-5, Place Value, pg. 27-40; Addition and Subtraction, pg. 41-52
 * __ Landmarks in the Thousands __ – Investigations 1, 2, & 3
 * __ A Balanced Approach to Math __ - Gr. 4
 * __ Harcourt Mathematics __ – Grade 4 – Rounding numbers pgs. 30-33; Extra Practice pg. 34; Review Test pg. 35; Adding and Subtracting Whole numbers pgs. 48-49; 50-51; 52-55; Extra Practice Pg. 58, Set C; Review Test Pg. 59 problems 1, 2, 12-16
 * (Rounding) [|//http://math.pppst.com///]
 * 10 M __ inute Math __ – Pg. 19; Pg. 21-23
 * __ Harcourt Practice Workbook __ – Grade 4 - Equations PW18; Expression/Equations with variables PW46


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