EXT 3-6 Sampler

9 RTI Explicit InstructionUsingC–R–A 3-DigitPlaceValue Lessonsmove students through the3 stagesof learning: Concrete–Representational–Abstract 1 ©Math TeachersPress, Inc.,Reproduction by anymeans is strictly prohibited. We can show this number with base ten blocks. 4. What digit is in the hundreds place? __________ 5. What digit is in the tens place? __________ 572 415 Three-Digit Place Value 1. 7 hundreds 6 tens 2 ones = “seven hundred sixty-two” Write the number. Shade the bubble next to the correct name. two hundred seventy-six two hundred seven six Hundreds Tens Ones Hundreds Tens Ones 2. 5 hundreds, 6 tens, 4 ones _____ _____ _____ H T O 3. 7 hundreds, 3 tens, 8 ones _____ _____ _____ H T O Write each number. 6. What is the important place value pattern used in our number system? Give an example. Barry Bonds hit 762 home runs in his career. 5 7 6 3 4 8 5 1 6 7 2 Tenof one place is equal to 1 of the next highest place Lesson 2, 4ETeacherGuide 1 Objective1: To explore andnamebase tenblocks and match theblockswith theirplace valuenames. Todiscover thepatternof thebase ten system. PD Materials: Base tenblocks, PlaceValueMats (Masters 1 and2 taped together),MyMathGlossary (Master 30), VocabularyCards (Master 31), 6-sideddice Note: Before class,make copies ofMaster 31 (Vocabulary Cards) andMaster 30 (MyMathGlossary).Distribute Master 30 to each student. See p. xof the foreword. Vocabulary: place valuenames: ones, tens, hundreds IntroducingBaseTenBlocks Themain reason studentsmake errorswithwhole number algorithms is that theydonot understand multi-digit numeration. Theydonot know that 43means 4 tens and3ones or 40+3. Base tenblocks are ideal for teachingnumeration concepts because students can see the abstract concept of place value each time theypickup ablock. For example, one tens block is always seenboth as 1 ten and 10ones. Eachpair or small group shouldhave20ones blocks, 10 tens blocks, 10hundreds blocks, and aPlaceValueMat. Explain thebenefits andproperuseofmanipulatives. Set guidelines fordistribution and collection. Explore–Discover–Communicate Wearegoing tobeginusingbase tenblocks. What canyou candiscoverabout yourblocks? Allow exploratory time. We can findpatterns ifweaskhow things are the same (oralike), andhow theyare different. Write2 columns on theboard: * most important similarity Ask students to findoneway theblocks are the same andoneway they aredifferent, then ask them to share. Name eachof theblocks. Howmanydifferent sizesdo youhave? (3) Holdup1of the smallestblocks, the“ones” or “units”block.Howmanyonesdoes it take tomake thenext largerblock? (10) Thisblock isnamed the“tens” or “long”block.Howmany tensdoes it take tomake the next largerblock? (10) Thenext largestblock isnamed the“hundreds”or “flat”block.Thewords “ones,”“tens,” and“hundreds”areplacevaluenames. The importantpattern inournumber system isbasedon tens. It always takes10of 1block toequal oneof thenext largerblock. So, 10 ones equal 1 tenand10 tens equal 1hundred. made of wood natural color points& corners made of little cubes *10 of 1 block= 1 of the next larger block sizes shapes volumes weight Same Different Useblocks and aPlaceValueMat towork the example. Lookat theexample.Whatblocks are shown? (7hundreds, 6 tens, 2ones) Useblocks tomatch the picture.Writeeachdigit in the correctplaceon the chart. (762) To say thisnumber, touch thebiggest blocks and say theirvalue. (700) Now touch thenext biggestblocks and say theirvalue. (60) Then touch the smallestblocks and say theirvalue. (2) Now say thenumber togetheras you touch theblocks. (seven hundred sixty-two)Workproblems 1, 2, and4 as a class. Studentsmay completeproblems 3 and5on their own. Sum ItUps provideopportunities for students to reflect, askquestions, anddiscuss in small groups. Ask students to share aloud and recordon thepage. Hammer to 100Game Usebase tenblocks in apile: one 1hundred flat, 20 tens, and30ones. Eachplayer takes turns tossing a6-sided die and removing thenumber tossed from thepile. Each time aplayer gets 10ormoreones, they exchange10ones for 1 ten.Whoever gets exactly10 tens exchanges them for the100 flat and is thewinner. Skill Builders 1-2, 1-3 4.NBT.1, 4.NBT.2 Tier 3 Tier 2 Tier 1 CCSSandTEKSeditions indicateobjectives Concrete Representational Abstract 3