Unit Overview Content Area: Math Unit Title: Addition of 2-Digit Numbers with/without Regrouping Target Course/Grade Level: 2 Unit: 5 Timeline: 4 weeks/ongoing Unit Summary: Students will learn to regroup so they can accurately add two digit numerals. Primary interdisciplinary connections: Language Arts NJ Standard 9.1: 21st – Century Life & Career Skills Standard 9.1: All students will demonstrate the creative, critical thinking, collaboration, and problemsolving skills needed to function successfully as both global citizens and workers in diverse ethnic and organizational cultures. Strand: A. Critical Thinking and Problem Solving C. Collaboration, Teamwork and Leadership Content Statement: 9.1.4.A.5: The ability to recognize a problem and apply critical thinking and problem-solving skills to solve the problem is a lifelong skill that develops over time. 9.1.4.C.1: Practice collaborative skills in groups, and explain how these skills assist in completing tasks in different settings such as home, play or school. 21st century themes and skills: Critical Thinking and Problem Solving, Collaboration, Teamwork and Leadership Mathematical Practices: 2.MP.1. Make sense of problems and persevere in solving them. 2.MP.2. Reason abstractly and quantitatively. 2.MP.3. Construct viable arguments and critique the reasoning of others. 2.MP.4. Model with mathematics. 2.MP.5. Use appropriate tools strategically. 2.MP.6. Attend to precision. 2.MP.7. Look for and make use of structure. 2.MP.8. Look for and express regularity in repeated reasoning. Learning Targets Domain: Numbers and Operations in Base Ten 2.NBT Measurement and Data 2.MD Operations and Algebraic Thinking 2.OA Cluster: Use place value understanding and properties of operations to add and subtract. Work with time and money. Represent and interpret data. Standard # Standards 2.NBT.5 Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction. 2.NBT.6 Add up to four two-digit numbers using strategies based on place value and properties of operations. 2.NBT.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. 2.NBT.8 Mentally add 10 or 100 to a given number 100–900, and mentally subtract 10 or 100 from a given number 100–900. 2.NBT.9 Explain why addition and subtraction strategies work, using place value and the properties of operations. 2.MD.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? 2.MD.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 problems using information presented in a bar graph. 2.OA.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. CPI# Cumulative Progress Indicator (CPI) 9.1.4.A.5 Apply critical thinking and problem-solving skills in classroom and family settings. 9.1.4.C.1 Practice collaborative skills in groups, and explain how these skills assist in completing tasks in different settings (at home, in school, and during play). Unit Essential Questions How can I use what I know about number relationships to add and subtract? Why is recognizing what strategy to use for a specific purpose, helpful? Unit Enduring Understandings Different strategies (mental, paper, drawing) can be used to add numbers fluently. The same strategies used for two two-digit numbers can be applied when adding three or more than two-digit numbers. Different strategies (mental, paper, drawing, concrete models) can be applied to add within 100. Place value affects the other place values when adding (regrouping, trading, composing/decomposing) When adding two-digit numbers, knowing the value of that digit, in a given position, determines the next step one must take to solve an equation. Multiples of 10 and 100 can be used as landmark numbers in computation. Words or drawings can be used to explain addition strategies. Money knowledge can be used to solve word problems. Picture & Bar graphs charts and tables can be used to solve comparative and addition problems. Unit Learning Targets Students will ... Use manipulatives to show regrouping of tens and ones. Explain how regrouping is done and represent with manipulatives. Compute addition problems of 2 digit numbers (w/&w/o regrouping) Add a 1 digit to a 2 digit and record in vertical format. Calculate sums of money to $.99. Add 3 two-digit addends. Solve problems involving addition using data from a table. Recognize and use different strategies/tools (calculator, manipulatives, drawings, number line, mental math) to add 2 two-digit numbers. Solve a problem by using estimation to determine reasonableness of the sum. Use clue words to prompt solving word problems for double digit addition. Evidence of Learning Summative Assessment Illustrate/explain adding two-digit numbers with/without regrouping. Accurately compute two & three, two-digit numbers with/without regrouping for addition. Accurately compute money sums up to $.99 using two, two-digit numbers. Give a table with various two-digit numbers and solve addition with/without regrouping. Choose from a list of strategies/tools one could use to solve a given two-digit math addition equation to determine which is the best way to attain the correct answer. Give an equation using 2 two-digit numbers. Solve the problem giving and estimate and exact sum. Identify clue word (highlight, circle or underline) that indicates addition for a word problem and write the equation with correct answer. Equipment needed: place value cubes; multiple decks of cards; dice. Teacher Instructional Resources: Everyday Math Math Their Way Scott Foresman Mathematics Program: Chapter 5 Formative Assessments Observe students as they …. work with manipulatives complete work sheets/workbooks play games, complete activities Integration of Technology: SMARTBoard to play online games and utilize on line resources. ELMO to use for demonstration purposes. Utilize resources from Scott Foresman by using Login in: https://www.pearsonsuccessnet.com/snpapp/login/login.jsp Technology Resources: Click the links below to access additional resources used to design this unit: http://www.dositey.com/addsub/mystery2A.htm A list of double digit horizontal problems appear with an array of answers. When answers are figured out student presses on problem and then the answer and part of a picture appears. Get all answers right and picture comes alive for a moment. http://resources.oswego.org/games/ghostblasters2/gb2nores.html Student clicks on 2 numbers that add up to target number to get rid of ghosts. http://www.aplusmath.com/games/matho/AddMatho.html A vertical two digit addition problem appears with an array of answers on a grid. Student presses on answer when it is determined. Game is played with an automatic timer. Goal is to beat last score. Opportunities for Differentiation: Decelerate: Continue using place value blocks and/or beans for longer time so the concept of regrouping is clearly understood. Use the Scott Foresman online tools to give another visual aide for learning the concept. Accelerate: Give students four, five and/or six digit numbers to add. Teacher Notes: It is very important to make sure your students understand the concrete concept behind regrouping. This is done by using the manipulatives and having the students verbalize what they are doing and why in relationship to the problem.