1234567890123456789012345678901234 5678901234567890123456789012345678 1234567890123456789012345678901234 CCSS Operations and Algebraic 5678901234567890123456789012345678 Thinking (OA) Unpacking the Standards 1234567890123456789012345678901234 Grade 2 5678901234567890123456789012345678 1234567890123456789012345678901234 5678901234567890123456789012345678 1234567890123456789012345678901234 5678901234567890123456789012345678 1234567890123456789012345678901234 5678901234567890123456789012345678 Math Practices: Standard: 2.OA.1 Cluster (m) 1, 2, 3, 4,5, 8 Related CA Standard 2.NS.2.3 2.AF.1.2 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. Essential Skills/Concepts Add to 100 Subtract within 100 Draw symbols to represent unknowns Explain thinking using words, symbols, and writing Understand the situation in the word problem Understand different types of add/subtract problems (See Framework p. 7) Understand there are different strategies to solve Academic Vocabulary: * Equation * take from * Addend * add to * Solution * put together * Symbol * more * Compare * less * unknown Teaching Notes/Strategies - - - Model drawings Manipulatives Scaffold problems from onestep, to two-step, etc. Use trade books with word problems to collaboratively solve (i.e. After reading The Napping House, solve this word problem: When all the sleepers were piled up, how many feet were in the bed? Use pictures, numbers or words to show your thinking.) Anchor charts for sharing symbols Board math Daily word problem Students use document camera to demonstrate and justify their thinking Students write word problems for their classmates to solve Resources * One Hunter by Pat Hutchins (at K5 Math Resources below) * The Napping House by Audrey Wood (at K-5 Math Resources below) * P. Bear’s New Years Party by Paul Owen Lewis(at K-5 Math Resources below) * http://www.k5mathteachingresources.com/2ndgrade-number-activities.html * math journals * PUSD problem solving poster * www.cde.gov (Appendix F – more defined methods for solving singledigit addition/subtraction problems) Math Practices: Standard: 2.OA.2 Cluster (m) 2, 7, 8 Related CA Standard 2.NS.2.3 Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers. Essential Skills/Concepts Adding and subtracting within 10 Counting on Convert to an easier problem Determine a strategy to use Fluency of computing Make 10 Academic Vocabulary: Add Subtract Sum More Less Equal Equation Count on Addend Digits Teaching Notes/Strategies - - - - Games in centers Domino or dice games (choose two and find sum) Interactive games from NCTM Living chart of strategies (counting on, making tens, decomposing a number leading to ten, fact families, doubles, doubles plus 1) Math journals for strategies Number talks Board math Magic Square game (try to get each row to equal a given number) Number webs Make posters for studentdeveloped mental strategies Flash cards Computer games Dots/dot patterns Resources * Two of Everything by Lily Toy Hong (activity at K-5 Resources site below) *Ten frames/double ten frames *Magic Square game at http://illuminations.nctm.org/ActivityDetail .aspx?ID=75 * http://www.k5mathteachingresources.com/2nd-gradenumber-activities.html Standard: 2.OA.3 Cluster (s) Math Practices: 2,3,7,8 Related CA Standard NEW 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 2’s; write an equation to express an even number as a sum of two equal addends. Essential Skills/Concepts Count by 2’s Write addition equations for doubles Count 1-20 Group objects into pairs Understand concept of even vs. odd Explain why a number is even or odd Academic Vocabulary: Odd Even Equal groups Addend Equation Sum Double Remaining Pair Teaching Notes/Strategies Resources - Songs for odd and even -Using manipulatives (grab a handful and record how many pairs you have and how many extras) - Modeling with concrete objects for grouping - Odd and Even read alouds - Have groups of students pair up in different pairings to determine even or odd when lining up - Board math - Using objects, find the numbers that will have some objects remaining and no objects remaining after separating the collections into two equal groups * Manipulatives for grouping * Doubles song/chant * “Even Song” sung to Bingo (There was a farmer had a cow and Even was her name-o, 0,2,4,6,8) * Even Stephen Odd Todd by Kathryn Cristaldi * If You Were an Odd Number (Math Fun) By Marcie Aboff * My Even Day and One Odd Day by Doris Fisher Standard: 2.OA.4 Cluster (s) Math Practices: Related CA Standard 2.OA.3.1 2,3,7,8 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. Essential Skills/Concepts Understand repeated addition Write equations with multiple addends Recognize equal parts Counting by multiples/skip count Make equal groups/rows Academic Vocabulary: Addends Equal Rectangular array Row Column Sum Teaching Notes/Strategies - Walk the number line multiple times - Use clearboard grids with counters - Make arrays with a set number of counters (record all possibilities) - Have students sit in arrays on the rug and use equation to calculate -Board math Resources * Grid paper * Clear board grids * Pattern blocks for building arrays * Number line on floor * Making arrays activities at http://www.k5mathteachingresources.com/2ndgrade-number-activities.html