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Math: Unit 6 UNIT TITLE: 3-Digit Addition and Subtraction Grade: 2 Domain: Number and Operations in Base Ten (CC.2.NBT) Suggested Pacing 14 days 01/29/15 - 02/25/15 Stage 1 – Desired Result Established Goals/Unit Outcome Highest Level of Understanding: Draw quick pictures to represent 3-digit addition. Apply place value concepts when using a break-apart strategy for 3-digit addition. Record 3-digit addition using the standard algorithm with possible regrouping of ones. Record 3-digit addition using the standard algorithm with possible regrouping of tens. Record 3-digit addition using the standard algorithm with possible regrouping of both ones and tens. Solve problems involving 3-digit subtraction by using the strategy make a model. Record 3-digit subtraction using the standard algorithm with possible regrouping of tens. Record 3-digit subtraction using the standard algorithm with possible regrouping of hundreds. Record 3-digit subtraction using the standard algorithm with possible regrouping of both hundreds and tens. Record subtraction using the standard algorithm when there are zeros in the minuend. Average Level of Understanding: Draw quick pictures to represent 3-digit addition. Apply place value concepts when using a break apart strategy for 3-digit addition. Record 3-digit addition using the standard algorithm with possible regrouping of ones. Record 3-digit addition using the standard algorithm with possible regrouping of tens. Solve problems involving 3-digit subtraction by using the strategy make a model. Record 3-digit subtraction using the standard algorithm with possible regrouping of tens. Record 3-digit subtraction using the standard algorithm with possible regrouping of hundreds. Most Essential Level of Understanding: Draw quick pictures to represent 3-digit addition. Solve problems involving 3-digit subtraction by using the strategy make a model. Record 3-digit subtraction using the standard algorithm with possible regrouping of tens Common Core Learning Standards: CC.2.NBT.7: Use place value understanding and properties of operations to add and subtract. 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. Mathematical Practices: MP.5 – Use appropriate tools strategically. MP.8 – Look for and express regularity in repeated reasoning. Essential Questions: What are some strategies for adding and subtracting 3-digit numbers? (OVERALL) How do you draw quick pictures to show adding 3-digit numbers? (lesson 6.1) How do you break apart addends to add hundreds, tens, and then ones? (lesson 6.2) When do you regroup ones in addition? (lesson 6.3) When do you regroup tens in addition (lesson 6.4) How do you know when to regroup in addition? (lesson 6.5) How can making a model help when solving subtraction problems? (lesson 6.6) When do you regroup tens in subtraction? (lesson 6.7) When do you regroup hundreds in subtraction? (lesson 6.8) How do you know when to regroup in subtraction? (lesson 6.9) How do you regroup when there are zeros in the number you start with? (lesson 6.10) Content: Skills: Make a Hundred to Add Add Hundreds Mentally Add 10 or 100 Add Three-Digit Numbers with Regrouping Take Apart Hundreds to Subtract Subtract Hundreds Mentally Subtract 10 or 100 Subtract Three-Digit Numbers with Regrouping Subtract Across Zeros Terms / Vocabulary: Hundreds Tens Ones Lesson 6.1 Break apart two and three digit numbers to solve problems like 34+297 Use base ten blocks to add problems like 200+400 Mentally add numbers like 530+10 Use Base Ten Blocks to add and regroup using hundreds, tens, and ones. Break apart numbers in order to solve subtraction like 50298 Use Base Ten Blocks to subtract hundreds. Regroup with three digit numbers like 411-273 Look at hundreds to regroup when there are no tens to regroup in order to solve problems like 400-155. Materials: MathBoard Base-ten blocks Counting Tape Addends Sum Regroup (lesson 6.3, 6.7) Difference (lesson 6.7) Lesson 6.2 Stage 2 – Assessment Evidence Performance Task: Other Evidence: Diagnostic: Show What I know Pg. 278 Formative: Mid-Chapter Checkpoint pg. 300 Summative: Chapter Test pg. AG 107-112 Stage 3 – Learning Plan Standard Go Math Lesson Objective Essential Questions Vocabulary Materials Assessment Differentiation Reteach: Draw to Represent 3-Digit Addition Enrich: Addition Triplets Reteach: Break Apart 3Digit Addends Enrich: Domino Break Reteach: 3-Digit Addition: Regroup Ones Enrich: 3-Digit Scramble CC.2.NBT.7 Lesson 6.1: Draw to Represent 3Digit Addition How do draw quick pictures to show adding 3-digit numbers? Hundreds Tens Ones MathBoard, Counting Tape Quick Check 1&2 CC.2.NBT.7 Lesson 6.2: Break Apart 3-Digit Addends How do you break apart addends to add hundreds, tens, and then ones? Addends Sums MathBoard, Counting tape Quick Check 2&3 CC.2.NBT.7 Lesson 6.3: 3 –Digit Addition: Regroup Ones When do you regroup ones in addition? Regroup MathBoard, base-ten blocks, Counting tape Quick Check 1&2 Supplemental/ Substitute Lessons CC.2.NBT.7 Lesson 6.4: 3-Digit Addition: Regroup Tens When do you regroup tens in addition? MathBoard, base-ten blocks, Counting tape Quick Check 2&3 CC.2.NBT.7 Lesson 6.5: Addition: Regroup Ones and Tens How do you know when to regroup in addition? MathBoard, Counting tape Quick Check 5&6 CC.2.NBT.7 Lesson 6.6: Problem-Solving: 3Digit Subtraction How can making a model help when solving subtraction problems? MathBoard, base-ten blocks, Counting tape Quick Check 3&4 CC.2.NBT.7 Lesson 6.7: 3-Digit Subtraction: Regroup Tens When do you regroup tens in subtraction? MathBoard, base-ten blocks, Counting tape Quick Check 1&2 CC.2.NBT.7 Lesson 6.8: 3-Digit Subtraction: Regroup Hundreds When do you regroup hundreds in subtraction? MathBoard, Counting tape Quick Check 1&2 CC.2.NBT.7 Lesson 6.9: Subtraction: Regroup Hundreds and Tens How do you know when to regroup in subtraction? MathBoard, Counting tape Quick Check 5&6 Mid-Chapter Checkpoint Regroup Difference Reteach: 3-Digit Addition: Regroup Tens Enrich: Triple Digits Reteach: Addition: Regroup Ones and Tens Enrich: Paint by Regrouping Reteach: Problem-Solving: 3-Digit Subtraction Enrich: What is the Difference? Reteach: 3-Digit Subtraction: Regroup Tens Enrich: Subtraction Steps Reteach: 3-Digit Subtraction: Regroup Hundreds Enrich: Check It Out Reteach: Subtraction: Regroup Hundreds and Tens Enrich: Subtraction Squares CC.2.NBT.7 Lesson 6.10: How do you regroup Regrouping with Zeros when there are zeros MathBoard, Counting tape Quick Check 2&3 in the number you start with? Literacy Connections: The If Game The Bug Boys Differentiated Instruction Grab-and-Go Differentiated Center Kits Games: Around the World! Activities: Card #16: Regrouping Ones Hundreds What a Deal Card # 19: Zero Gravity Twice is Nice Reteach: Regrouping with Zeros Enrich: Mystery Number Performance Assessment Chapters 3-6 Go Math Intervention Activities (ELLs, RTI, and SWDs): ELLs Strategy: Describe (lesson 6.1; pg. 281B; lesson 6.4; pg. 293B; lesson 6.5; pg. 297B; lesson 6.6; pg. 301B) Strategy: Define (lesson 6.2; pg. 285B) Strategy: Model Concepts (lesson 6.3; pg. 289B; lesson 6.8; pg. 309B) Strategy: Draw (lesson 6.7; pg. 305B) Strategy: Model Language (lesson 6.9; pg. 313B) RTI Lesson 6.1: Tier 1: Kinesthetic/Visual (Whole Class/Small Group) Pg. 281B Tier 2: Visual/Kinesthetic Small Group Pg. 281B Lesson 6.2: Tier 1: Visual/Kinesthetic (Whole Class/Small Group) Pg.285B Tier 2: Visual/Kinesthetic Small Group Pg. 285B Lesson 6.3: Tier 1: Visual/Kinesthetic (Whole Class/Small Group) Pg. 289B Tier 2: Visual/Kinesthetic Small Group Pg. 289B Lesson 6.4: Tier 1: Visual/Kinesthetic Whole Class/Small Group Pg. 293B Tier 2: Kinesthetic (Small Group) Pg. 293B Lesson 6.5: Tier 1: Visual/Kinesthetic (Whole Class/Small Group) Tier 2: Visual/Kinesthetic (Small Group) Pg. 297B Lesson 6.6: Tier 1: Visual/Kinesthetic (Whole Class/Small Group) Pg. 3013B Tier 2: Visual/Kinesthetic (Small Group) Pg. 301B Lesson 6.7: Tier 1: Visual/Kinesthetic (Whole Class/Small Group) Pg. 305B Tier 2: Visual/Kinesthetic (Small Group) Pg. 305B Lesson 6.8: Tier 1: Visual/Kinesthetic (Whole Class/Small Group) Pg. 309B Tier 2: Visual/Kinesthetic (Small Group) Pg. 309B Lesson 6.9: Tier 1: Kinesthetic/Visual (Whole Class/Small Group) Pg. 313B Tier 2: Visual/Kinesthetic (Small Group) Pg. 313B Lesson 6.10: Tier 1: Kinesthetic/Visual (Whole Class/Small Group) Pg. 313B Tier 2: Visual/Kinesthetic (Small Group) Pg. 313B SWDs Additional Support Strategies: Operational Signs: Enlarge the math operation symbols next to the problems so the student will be more likely to observe the symbol. Color-code math operation symbols next to math problems so the student will be more likely to observe the symbol. Have the student solve his/her math problems using a calculator. At the top of each sheet of math problems, provide a math operational symbol reminder for the student (ex: + means add, - means subtract, ect.). Have the student check his/her math assignments using a calculator to reinforce the memorization of math facts. Advanced Enrich: TE, p. 277F Enrich Activity Enrich Book Extend the Project ELL Activity 3-Digit Subtraction: Develop a math facts reference sheet for addition for the student to use at his/her desk when solving math problems. Have the student solve subtraction problems by manipulating objects and stating the process(es) involved. Provide the student with a number line attached to his/her desk to help solve subtraction problems. Require the student to use graph paper to line up their numbers correctly in columns. Teach the student to use resources in the environment to help him/her solve math problems. Provide addition and subtraction practice using a computer software program or a hand-held educational device that gives immediate feedback to the student. Problem Solving: Discuss and provide the student with a list of words and phrases which indicate an addition or subtraction operation in word problems. Have the student create word problems for number sentences. Place the number sentences on the white board and have the student tell or write word problems that could be solved by the number sentence. Use word problems that are related to the students experiences and are of interest to him/her. Have the student solve word problems by manipulating objects and stating the process used. Have the student simulate situations which relate to math word problems (ex. trading, selling, buying, etc.) Choose a peer to model solving math word problems for the student. Reduce the number of problems assigned to the student at one time. Provide the student with a number line on him/her desk to use as a reference. Provide the student with a checklist to follow in solving math word problems. Provide the student with a math reference sheet to keep at his/her desk. Have the student manipulate objects as the operation is described. Provide practice solving math word problems using a computer software program or a handheld educational device that gives immediate feedback to the student. Reduce the amount of information on a page. Color- code the operation symbol for each math problem (ex: make additional signs green, subtraction signs red, etc.) as the student demonstrates success, gradually reduce the use of the color-coding. Have the student use concrete manipulatives in real-life situations. Games/Activities Key: Computation and Mental Math Geometry and Measurement Challenge