Grade Two Chapter 6 - 3-Digit Addition and Subtraction Overview & Support Standards: Use place value understanding and properties of operations to add and subtract. 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.7.1 Use estimation strategies to make reasonable estimates in problem solving. CA 2.NBT.9 Explain why addition and subtraction strategies work, using place value and the properties of operations. Suggested Routines: Number Talks hundred charts Choose 3 Ways Think-Pair-Share Think-Negotiate-Talk open number lines Fluency Builder secret code cards *Have students practice their “Make a 10” strategy daily using cards with 1, 2, 3, 4, 5, 5 6, 7, 8, 9 for each student. Use it as a warm up where each student matches the pairs to “Make a 10”. *Use Math Mountain Cards (fact family triangle) cards to practice addition and subtraction for fluency. Manipulatives: base ten blocks whiteboards http://blogs.egusd.net/mathgen/ grab-and-go Vocabulary: digit word form total sum compare order value regroup ones addition place value expanded form period number line reasonable estimate regroup tens difference standard form partial sum table population open number line round addend inequality symbols (equal sign, greater than sign, less than sign) Strategies for Chapter: Using the standard algorithm is not the focus of these lessons. Students should know how to regroup 10 ones as 1 ten, and may be exposed to the algorithm, but are not expected to master it. It is recommended that teachers focus on strategies that build understanding of place value such as quick pictures, compensation, decomposition, and partial sums. expanded form using number and word forms Color Coding: Green (G) – The lesson accurately reflects the Framework standard(s). Yellow (Y) - This lesson includes notes to refer to while planning the lesson. Red (R) - This lesson does not accurately reflect the Framework standard(s). Skip the lesson. Essential Question: What are some strategies for adding and subtracting 3-digit numbers? Lesson-by-Lesson Overview: Lesson #, Standard Show What You Know 6.1 G 2.NBT.7 Title Materials Show What You Know Draw to Represent 3Digit Addition http://blogs.egusd.net/mathgen/ Vocab Notes Number cards 1050, 30 two sided counters # 6, #7 on pg. 284 reference the Framework p. 8-Put together/take apart 6.2 Y 2.NBT.7 6.3 Y 2.NBT.7 Break Apart 3Digit Addends 3-Digit Addition: Regroup Ones Base-ten blocks addition bar partial sum total sum addend expanded form reasonable estimate regroup ones (in addition) #8 on pg. 288 reference California Framework on pg. 18 Look at Common Errors on pg. 286 Reference California Framework Figure 2-3 on pg. 18 Do pages 289 and 292. Do not do pgs. 290-291 as if it focuses on standard algorithm which is not a second grade standard. Use base-ten blocks and quick pictures to represent regrouping standard algorithm method Look at Common Errors on pg. 290 6.4 Y 2.NBT.7 3-Digit Addition: Regroup Tens regroup tens (in addition) Reference California Framework Figure 2-3 on pg. 18 for additional ways to draw composed units Reference California Framework Figure 2-3 on pg. 18 Remember - don’t focus on standard algorithm! 6.5 Y 2.NBT.7 Addition: Regroup Ones and Tens estimate Look at Common Errors on pg. 294 Pages 293 and 296 can be done. Pages 294-295 focus on algorithm. Preview and part of this lesson is outside of standard. Mid Chapter Checkpoint Use alternate methods for problems 2-4 Using Formative Feedback – Correct the Mid-Chapter Checkpoint and use the data for: #2-4 allow for quick pictures, break apart, or base-ten strategies ● Math centers or math games focused on standards of need ● Small group instruction focused on a single standard/common error ● Whole group instruction focused on a single standard/common error ● My Favorite No – Rewrite student work with an error and work as a class to identify positives in the work and areas that need to be revised ● Select 1 – 3 problems to resolve in their groups and discuss whole class (do not just review the checkpoint item by item – this is not very engaging. We want new learning to occur on this day that helps students over misconceptions. 6.6 Estimation in New lesson G 3-Digit 2.NBT.7.1 Addition http://blogs.egusd.net/mathgen/ 6.7 G 2.NBT.7 6.8 Y 2.NBT.7 6.9 Y 2.NBT.7 2.NBT.9 6.10 Y 2.NBT.7 6.11 Y 2.NBT.7 6.12 G 2.NBT.7.1 Reteach Options Problem Solving: 3-Digit Subtraction 3-Digit Subtraction: Regroup Tens Reference California Framework Table 2-3 pgs. 8-10 for different types of addition and subtraction problems Remember - don’t focus on standard algorithm! Use variety of methods # 10 on pg. 312 is a two-step problem Remember - don’t focus on standard algorithm! 3-Digit Subtraction: Regroup Hundreds Subtraction: Regroup Hundreds and Tens Regrouping with Zeros Use variety of methods Remember - don’t focus on standard algorithm! Use variety of methods bar models Estimation in 3-Digit Subtraction #17 on pg. 320 is adding on Remember - don’t focus on standard algorithm! Quick picture; Base-ten model Remember - don’t focus on standard algorithm! Look at Common Error on pg. 326 Reteach Day – Look over your Chapter 6 Assessment to determine standards/areas of need/common errors. Reteach standards from this unit to help meet students’ need. Some ideas for reteach activities are listed below: Have students practice their “Make a 10” strategy daily using cards with 1, 2, 3, 4, 5, 5 6, 7, 8, 9 for each student. Use it as a warm up where each student matches the pairs to “Make a 10”. *Use Math Mountain Cards (fact family triangle) cards to practice addition and subtraction for fluency. ● Math centers or math games focused on unit standards ● Small group instruction focused on a single standard ● Whole group instruction focused on a single standard ● My Favorite No – Rewrite student work with an error and work as a class to identify positives in the work and areas that need to be revised ● Select 1 – 3 problems to resolve in their groups and discuss whole class (do not just review the test item by item – this is not very engaging. We want new learning to occur on this day that helps students over misconceptions. ● Complete the “Performance Task” from Go Math! In the Assessment Book in small groups. Share strategies and discuss whole class. Use the Reteach activities based on standards that need intervention. Chapter Assessment: Chapter 6 Review/Test available in Student Edition Alternate summative assessment available online in Assessment Guide http://blogs.egusd.net/mathgen/
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