Microsoft Word th Grade GUSD Unit 2 Parent Letter.docx

Similar documents
Microsoft Word Math Grade 4 Unit 1 Parent Letter.docx

Microsoft Word Math Grade 5 Unit 1 Parent Letter.docx

Microsoft Word Math Grade 2 Unit 1 Parent Letter.docx

Microsoft Word Math Grade 6 Unit 1 Parent Letter.docx

Microsoft Word Math Grade 1 Unit 1 Parent Letter.docx

Microsoft Word Grade 2 Math Unit 3 Parent Letter.docx

Microsoft Word nd Grade GUSD Unit 2 Parent Letter.docx

Microsoft Word Grade 6 Math Unit 3 Parent Letter.docx

Microsoft Word Math Grade K Unit 1 Parent Letter.docx

Kindergarten Unit 5 Parent Letter Final

Microsoft Word th Grade GUSD Unit 2 Parent Letter.docx

Page 2 of 5 아니다 means to not be, and is therefore the opposite of 이다. While English simply turns words like to be or to exist negative by adding not,

Page 2 of 6 Here are the rules for conjugating Whether (or not) and If when using a Descriptive Verb. The only difference here from Action Verbs is wh

Unit 5, 1-st grade

Stage 2 First Phonics

step 1-1

초4-1쌩큐기본(정답)본지

Microsoft Word Grade 4 Math Unit 4 Parent Letter.docx

Journal of Educational Innovation Research 2019, Vol. 29, No. 1, pp DOI: (LiD) - - * Way to

Microsoft Word Kindergarten GUSD Unit 2 Parent Letter.docx

<31335FB1C7B0E6C7CABFDC2E687770>

(Microsoft Word - Cuestionario Almac\351n Frigor\355fico Corea del Sur.doc)

본문01

04-다시_고속철도61~80p

public key private key Encryption Algorithm Decryption Algorithm 1

Math grade 3 Unit 5

#Ȳ¿ë¼®


대한한의학원전학회지24권6호-전체최종.hwp

2011´ëÇпø2µµ 24p_0628

(Exposure) Exposure (Exposure Assesment) EMF Unknown to mechanism Health Effect (Effect) Unknown to mechanism Behavior pattern (Micro- Environment) Re

Introductory Chemistry: Concepts & Connections 4th Edition by Charles H. Corwin

하나님의 선한 손의 도우심 이세상에서 가장 큰 축복은 하나님이 나와 함께 하시는 것입니다. 그 이 유는 하나님이 모든 축복의 근원이시기 때문입니다. 에스라서에 보면 하나님의 선한 손의 도우심이 함께 했던 사람의 이야기 가 나와 있는데 에스라 7장은 거듭해서 그 비결을


Microsoft Word - H5087_CA030221_WCM_CMB_KOR

와 아울러 연구 대상을 제시한 후 연구의 필요성과 목적을 밝힌 다. 2장에서는 스페인어 수동문의 이론적 배경을 소개한다. 우선 전통 문법에서 소개하는 스페인어 수동문 및 중간태 구문에 대해 살펴본 후, 생성문법 이론을 이용하여 수동문의 원리 및 생성 과 정에 대해 알아

저작자표시 - 비영리 - 변경금지 2.0 대한민국 이용자는아래의조건을따르는경우에한하여자유롭게 이저작물을복제, 배포, 전송, 전시, 공연및방송할수있습니다. 다음과같은조건을따라야합니다 : 저작자표시. 귀하는원저작자를표시하여야합니다. 비영리. 귀하는이저작물을영리목적으로이용할

Journal of Educational Innovation Research 2018, Vol. 28, No. 3, pp DOI: NCS : * A Study on


이베로

11¹Ú´ö±Ô

영어-중2-천재김-07과-어순-B.hwp

슬라이드 1

1) ( )** I..,.. * 2002 ( BS2562). ** Hye-Sun Ko de Carranza(Dankook University, Corea en los libros de la historia de

5/12¼Ò½ÄÁö

歯1.PDF

, ( ) 1) *.. I. (batch). (production planning). (downstream stage) (stockout).... (endangered). (utilization). *

<B1E2C8B9BEC828BFCFBCBAC1F7C0FC29322E687770>

Microsoft PowerPoint - AC3.pptx

Columns 8 through while expression {commands} 예제 1.2 (While 반복문의이용 ) >> num=0

Microsoft PowerPoint - hw8.ppt [호환 모드]

사용시 기본적인 주의사항 경고 : 전기 기구를 사용할 때는 다음의 기본적인 주의 사항을 반드시 유의하여야 합니다..제품을 사용하기 전에 반드시 사용법을 정독하십시오. 2.물과 가까운 곳, 욕실이나 부엌 그리고 수영장 같은 곳에서 제품을 사용하지 마십시오. 3.이 제품은

6자료집최종(6.8))

어린이를위한영양소세트 $19 온두라스 적절한영양섭취를못한어린이는평생건강에영향을끼칠수있는감염과질병에취약하게됩니다. 이영양소세트에는온두라스어린이들의건강을위한콩, 비타민, 의약품이들어있습니다 가정용정수기 $75 니카라과 오염된물은장티푸스, 말라리아, 기생충,

WHO 의새로운국제장애분류 (ICF) 에대한이해와기능적장애개념의필요성 ( 황수경 ) ꌙ 127 노동정책연구 제 4 권제 2 호 pp.127~148 c 한국노동연구원 WHO 의새로운국제장애분류 (ICF) 에대한이해와기능적장애개념의필요성황수경 *, (disabi

우리들이 일반적으로 기호

Python과 함께 배우는 신호 해석 제 5 강. 복소수 연산 및 Python을 이용한 복소수 연산 (제 2 장. 복소수 기초)

,.,..,....,, Abstract The importance of integrated design which tries to i

슬라이드 1

<C1DF3320BCF6BEF7B0E8C8B9BCAD2E687770>

DBPIA-NURIMEDIA

H3050(aap)

4. 수업의 흐름 차시 창의 인성 수업모형에 따른 단계 수업단계 활동내용 창의 요소 인성 요소 관찰 사전학습: 날짜와 힌트를 보고 기념일 맞춰보기 호기심 논리/ 분석적 사고 유추 5 차시 분석 핵심학습 그림속의 인물이나 사물의 감정을 생각해보고 써보기 타인의 입장 감정

<32382DC3BBB0A2C0E5BED6C0DA2E687770>

< C7CFB9DDB1E22028C6EDC1FD292E687770>

09김정식.PDF

I&IRC5 TG_08권

목차 1. 서론 1.1. 연구의 배경 및 목적 1.2. 연구의 내용 및 방법 2. 제품스타일 분석 2.1. 제품이미지 2.2. 미래지향적 스타일 3. 신세대 감성분석 3.1. 라이프스타일 3.2. 광고전략 3.3. 색채에 따른 제품구매 분석 4. 결론 *참고문헌 ( )

퇴좈저널36호-4차-T.ps, page Preflight (2)

02. 특2 원혜욱 지니 3.hwp

歯kjmh2004v13n1.PDF

Journal of Educational Innovation Research 2017, Vol. 27, No. 2, pp DOI: * Review of Research

Microsoft PowerPoint - 7-Work and Energy.ppt

<30382E20B1C7BCF8C0E720C6EDC1FD5FC3D6C1BEBABB2E687770>

., (, 2000;, 1993;,,, 1994), () 65, 4 51, (,, ). 33, 4 30, 23 3 (, ) () () 25, (),,,, (,,, 2015b). 1 5,

ePapyrus PDF Document


도비라

Journal of Educational Innovation Research 2018, Vol. 28, No. 4, pp DOI: 3 * The Effect of H

Journal of Educational Innovation Research 2018, Vol. 28, No. 1, pp DOI: * A Study on the Pe

#중등독해1-1단원(8~35)학

DBPIA-NURIMEDIA

지능정보연구제 16 권제 1 호 2010 년 3 월 (pp.71~92),.,.,., Support Vector Machines,,., KOSPI200.,. * 지능정보연구제 16 권제 1 호 2010 년 3 월

DE1-SoC Board

(5차 편집).hwp

大学4年生の正社員内定要因に関する実証分析

Journal of Educational Innovation Research 2017, Vol. 27, No. 4, pp DOI: * A Study on Teache


Microsoft Word - Grade 3 Unit 5 Parent Letter docx

PUBLIC QUESTION. 1 CONSTITUTIONAL AMENDMENT TO PERMIT CASI GAMBLING IN TWO COUNTIES OTHER THAN ATLANTIC COUNTY YES Do you approve amending the Constit

KD hwp

untitled

<C7D1B1B9B1A4B0EDC8ABBAB8C7D0BAB85F31302D31C8A35F32C2F75F E687770>

<B9AEC8ADC4DCC5D9C3F7BFACB1B82D35C8A32833B1B3292E687770>

Journal of Educational Innovation Research 2016, Vol. 26, No. 2, pp DOI: * Experiences of Af


Main Title

_KF_Bulletin webcopy

2014 HSC Korean Continuers

<31325FB1E8B0E6BCBA2E687770>

Transcription:

Glendale Unified School District Math Curriculum Grade 4 Parent Information Unit 2: Multiplication and Division of Whole Numbers What Your Child Will Learn: In Unit 2, students will begin to develop an understanding of multiplication and division of whole numbers. Students will demonstrate an understanding of factors and multiples, as well as prime and composite numbers. Students will also continue to reason about number patterns, connecting a rule for a given pattern as it relates to multiplication or division. Students will solve multi-step contextual problems using a tape diagram or bar diagram to help visualize and solve multiplication and division problems in a real-world context. Students will deepen their foundational skills of multiplication and division to whole numbers greater than 100. Students will use visual representations such as area models and rectangular arrays and connect the visual model to an equation. The connection will be made for students to use multiplication in real-world scenarios, using area and perimeter formulas and problems involving distance measurements. MORE SPECIFICALLY, CHILDREN WILL LEARN HOW TO: Find all factor pairs for numbers up to 100 and identify whole numbers as prime or composite. Determine whether a given whole number is a multiple of another given one-digit number. Generate and analyze a number or shape pattern that follows a given rule. Multiply (two two-digit numbers) and divide (large numbers by one-digit divisors) using concepts of place value. Illustrate and explain multiplication and division using various strategies (equations, rectangular arrays, and area models). Identify and write a multiplication equation as a comparison of factors and a product (unknown product, unknown factors, unknown group size, and unknown number of groups). Solve multi-step word problems using multiplication and division. Use rounding to check the reasonableness of answers to problems involving multiplication and division. Solve division problems in which remainders must be interpreted. Represent word problems using equations with a symbol standing for the unknown quantity. Use the four operations to solve problems involving distances and apply the area and perimeter formulas for rectangles in real-world problems. Standards: 4.OA.4, 4.OA.5, 4.NBT.5, 4.NBT.6, 4.OA.1, 4.OA.2, 4.OA.3, 4.MD.2, 4.MD.3 For more information on the strategies, standards, and explanations, visit the California Framework at: http://www.cde.ca.gov/be/st/ss/documents/ccsmathstandardaug2013.pdf Sample Problems: 4.OA.5 Gain Familiarity with Factors and Multiples 4.NBT.5 Multi-Digit Multiplication Using Place Value Strategies (Area Model, Partial Products, Equations) 4.NB T.6 Multi- Digit Divisi

on Using Place Value Strategies (Area Model, Partial Quotients, Equations) 4.OA.1-3 Multiplicative Comparison Problems in Real-World Context Using Tape Diagrams Unknown Product: Skyler has Unknown Factor (Group Size Unknown Factor (Number of 4 times as many books as Unknown): Kiara sold 45 tickets Groups Unknown): A used bicycle Araceli. Is Araceli has 36 books, to the school play, which is 3 times costs $75; a new one costs $300. How many books does Skyler as many as the number of tickets How many times as much does the Have? sold by Tomas. How many tickets new bike cost compared with the did Tomas sell? used bike? 4.MD.3 Apply the Area and Perimeter Formulas for Rectangles in Real-World Problems Activities at Home: Draw pictures and make models of numbers. Discuss grocery shopping, buying household supplies, or recipes in the context of wanting to purchase more than one (use multiplication) or how much a single item would be if more than one comes in a package (use division). Take a multiplication and/or division problem and illustrate using an area model, array, or partial products/quotients. Measure different locations in your home or outside. Ask for the formulas of area and perimeter and then have your child solve for both. This will allow them to see real-world examples of how these two mathematical procedures are used in an everyday context. For example, if you wanted to purchase a new rug for the living room or a fence in a portion of the yard. Use a ruler to find the area and perimeter of plane figures. Have students create patterns with a given rule as it relates to multiplication and division. Practice addition and subtraction facts. Learning Links: 4.OA.5 Gain Familiarity with Factors and Multiples https://learnzillion.com/resources/72543-generate-number-or-shape-patterns-and-identify-pattern-features-4-oa-c-5 4.NBT.5 Multi-Digit Multiplication Using Place Value Strategies (Area Model, Partial Products, Equations) https://learnzillion.com/resources/73077-multiply-multi-digit-whole-numbers 4.NBT.6 Multi-Digit Division Using Place Value Strategies (Area Model, Partial Quotients, Equations) https://learnzillion.com/resources/72478-find-whole-number-quotients-and-remainders-with-up-to-four-digit-dividends-4-nbt-b-6 4.OA.1-3 Multiplicative Comparison Problems in Real-World Context Using Tape Diagrams https://learnzillion.com/resources/72926-interpret-multiplication-as-a-comparison https://learnzillion.com/resources/72311-solve-word-problems-using-multiplicative-comparisons https://learnzillion.com/resources/72712-solve-multi-step-word-problems 4.MD.3 Apply the Area and Perimeter Formulas for Rectangles in Real-World Problems https://learnzillion.com/resources/73049-apply-formulas-for-area-and-perimeter To see an electronic copy of this parent letter, with clickable links, please go to the Common Core page at http://www.gusd.net/. Follow the links to Mathematics, Grade 4. Scroll to the bottom of page and click on Unit 2.

Glendale Unified School District Maj;matika\i ousoumnakan ragir T;[;kouj\ounn;r 4-rd dasarani no[n;ri famar Bavin 2^ Ambo[= jw;ri baxmapatkoum bavanoum Inc ksowori ];r ;r;.an^ :rkrord bavnoum% a,ak;rtn;re ksowor;n kfaskanan ambo[= jw;ri baxmapatkoume bavanoume! A,ak;rtn;re ksowor;n kfaskanan artadricn;re baxmapatikn;re% incp;s na parx ba[adr\al jw;re! A,ak;rtn;re k,arounak;n ørinakn;re tramaban;l gtn;l baxmapatkman kam bavanman f;t a ncwo[ ørinaki skxbounqe! A,ak;rtn;re baxmaqa\l.ndirn;r klou ;n ;rixa\in kam ]o[a\in diagramn;r øgtagor ;low klou ;n irakan k\anqi baxmapatkman bavanman.ndirn;r! A,ak;rtn;re kbar;law;n ir;nz% 100-iz m; ambo[= jw;row baxmapatkoum kam bavanoum katar;lou fmtouj\ounn;re! A,ak;rtn;re mod;ln;r% incp;s ørinak^ tara qa\in kam ou[[ank\an mod;ln;r køgtagor ;n a\d mod;ln;re kkapakz;n fawasarman f;t! A\spisiw a,ak;rtn;re% mak;r;si parag i bana] ;re øgtagor ;low% baxmapatkman irakan.ndirn;r tara akan ca'oumn;r parounako[.ndirn;r klou ;n! MASNAWORAP:S% A<AK:RTN:RE KSOWOR:N J: INCP:S^ Gtn;l minc 100 jw;ri artadricn;re yanac;l parx ba[adr\al jw;re! Oro,;l j; ard\oq trwa jiwe mi a\l miani, jwi baxmapatikn h j; oc! Jw;row kam patk;rn;row ørinakn;r kaxm;l w;rlou ;l trwa skxbounqin f;t ;low! Baxmapatk;l (;rkou ;rkani, jw;r) bavan;l (m; jw;re miani, bavanararow) jwa\in arv;qi faskazouj\ounn øgtagor ;low! Ørinakn;row lousaban;l bazatr;l baxmapatkoume bavanoume tarb;r strat;gian;r øgtagor ;low (fawasaroum% ou[[ank\an tara qa\in ørinakn;r)! Yanac;l gr;l baxmapatkman fawasaroum orp;s artadricn;ri artadr\ali fam;matouj\oun (anfa\t artadr\al% anfa\t artadricn;r% anfa\t.mbi ca'.mb;ri anfa\t jiw)! Baxmaqa\l.ndirn;r lou ;l baxmapatkoum bavanoum øgtagor ;low! Klorazn;l^ baxmapatkoum bavanoum parounako[.ndirn;ri patas.ann;re stoug;lou famar! Lou ;l bavanman.ndirn;r% ort;[ mnazordn;re p;tq h m;knabanw;n! >ndire n;rka\azn;l fawasaroumow anfa\t qanaki famar simwol øgtagor ;l! Maj;matikakan cors gor o[ouj\ounn;rn øgtagor ;l tara ouj\oun parounako[.ndirn;re lou ;lou famar kira ;l ou[[ank\ounn;ri mak;r;si parag i bana] ;re irakan k\anqi.ndirn;roum! Ca'oro,icn;r^4.OA.4, 4.OA.5, 4.NBT.5, 4.NBT.6, 4.OA.1, 4.OA.2, 4.OA.3, 4.MD.2, 4.MD.3 Strat;gian;ri% ca'oro,icn;ri bazatrouj\ounn;ri masin faw;l\al t;[;kouj\an famar a\z;l;q http://www.cde.ca.gov/be/st/ss/documents/ccsmathstandardaug2013.pdf ka\qh=! Ørinakn;r^ 4.OA.5 anojanal artadricn;ri baxmapatikn;ri f;t # Artadricn;r Baxmapatikn;r 4 9 12 1, 2, 4 1, 3, 9 1, 2, 3, 4, 6,12 4, 8, 12, 16 9, 18, 27, 36 12, 24, 36, 48 4.NBT.5 Baxmani, jw;ri baxmapatkoum^ jwa\in arv;qi strat;gian;r øgtagor ;low (tara qa\in mod;l% masnaki artadr\al% fawasaroum) Translated By: GUSD Intercultural Office Armenian Math Unit 2 Parent letter- 4 th grade Professional Development

4.NBT.6 Baxmani, jw;ri bavanoum^ jwa\in arv;qi strat;gian;r øgtagor ;low (tara qa\in mod;l% masnaki artadr\al% fawasaroum) 4.OA.1-3 Irakan k\anqi baxmapatkman.ndirn;r^ ;rixa\in a[\ousak øgtagor ;low! Anfa\t artadr\al^ Aran 4 angam aw;li,at girq ouni qan Anan! Anan 36 girq ouni! Qani# girq ouni Aran! Anfa\t artadric (Anfa\t.mbi ca')^ Kar;ne.a[i famar 45 toms waya ;z% ore 3 angam aw;li,at h Jowmasi waya a toms;riz! Qani# toms waya ;z Jowmase! Anfa\t artadric (.mb;ri anfa\t jiw)^ Øgtagor wa f; aniwe $75 arv;% nore^ $300! Nor f; anwi gine qani# angam aw;li,at h fin f; aniwi f;t fam;mata! 4.MD.3 Ou[[ank\an mak;r;si parag i bana] ;re øgtagor ;l irakan k\anqi.ndirn;ri famar! Tane katarwo[ a,.atanqn;r Nkarn;r nkar;q jw;ri mod;ln;r patrast;q! Qnnark;q par;na\in gnoumn;re% tna\in apranqn;ri gnoumn;re kam stazagr;re m;kiz aw;lin gn;lou famar kam ;j; apranqe kapozow h% m;ke incqan klini ( bavanoum øgtagor ;q)! W;rzr;q baxmapatkaman /kam bavanman.ndir a\n zouzadr;q tara qa\in mod;l%,aran kam masnaki artadr\al/qanord øgtagor ;low! Ca';q tarb;r wa\r;r ];r tane kam drsoum! :r;.a\in farzr;q mak;r;si parag i bana] ;re% a\nouf;t fan]narar;q nran% or gtni a\d tara qi j; mak;r;se j; paragi e! A\spisiw% ;r;.an kt;sni j; incp;s h a\s maj;matikakan gor o[ouj\ounn;re øgtagor woum irakan k\anqoum! Ørinak% zankanoum ;q nor gorg gn;l s;n\aki famar kam zankapat^ baki famar! Gt;q parx patk;ri mak;r;se paragi e qanoni øgnouj\amb! A,ak;rtin fan]narar;q trwa skxbounqow baxmapatkmane bavanmann a ncwo[ ørinakn;r st;[ ;l! Goumarman fanman warvouj\oun katar;q! Ousouzman fangou\zn;r 4.OA.5 anojanal artadricn;ri baxmapatikn;ri f;t https://learnzillion.com/resources/72543-generate-number-or-shape-patterns-and-identify-pattern-features-4-oa-c-5 4.NBT.5 Baxmani, jw;ri baxmapatkoum^ jwa\in arv;qi strat;gian;r øgtagor ;low (tara qa\in mod;l% masnaki artadr\al% fawasaroum) https://learnzillion.com/resources/73077-multiply-multi-digit-whole-numbers 4.NBT.6 Baxmani, jw;ri bavanoum^ jwa\in arv;qi strat;gian;r øgtagor ;low (tara qa\in mod;l% masnaki artadr\al% fawasaroum) https://learnzillion.com/resources/72478-find-whole-number-quotients-and-remainders-with-up-to-four-digit-dividends-4-nbt-b-6 4.OA.1-3 Irakan k\anqi baxmapatkman.ndirn;r^ ;rixa\in a[\ousakow https://learnzillion.com/resources/72926-interpret-multiplication-as-a-comparison https://learnzillion.com/resources/72311-solve-word-problems-using-multiplicative-comparisons https://learnzillion.com/resources/72712-solve-multi-step-word-problems 4.MD.3 Ou[[ank\an mak;r;si parag i bana] ;re øgtagor ;l irakan k\anqi.ndirn;ri famar https://learnzillion.com/resources/73049-apply-formulas-for-area-and-perimeter A\s namaki hl;ktronik paty;ne t;sn;lou famar% douq karo[ ;q øgtw;l http://www.gusd.net-iz! Mt;q common core h=e s;[m;q 4-rd dasarani bavin 2-e (Unit 2)! Translated By: GUSD Intercultural Office Armenian Math Unit 2 Parent letter- 4 th grade Professional Development

귀자녀는무엇을배울것인가 : 글렌데일통합교육구 수학교과과정 4 학년학부모정보단원 2: 자연수곱셈및나눗셈 단원 2 에서, 학생들은자연수곱셈및나눗셈에대한이해를발전시키기시작한다. 학생들은소수및합성수와함께약수와배수에대한이해를보일것이다. 또한학생들은곱셈이나나눗셈과연관된주어진패턴규칙과연결하여숫자패턴에대한추리를계속한다. 학생들은실제상황에서곱셈및나눗셈문제를시각화하고푸는데도움이되도록테이프도표또는막대도표를사용하여다단계응용문제들을풀것이다. 학생들은 100 이상의자연수곱셈및나눗셈에대한기초력이깊어지도록할것이다. 학생들은넓이모델과시각형배열과같이시각적표현을사용하고이시각적모델을방정식으로연결할것이다. 이러한연결은학생들이넓이및둘레공식을사용하여거리측정이포함되는문제들과실제시나리오에서곱셈을사용하도록만들것이다. 좀더구체적으로학생들은다음의것들을배울것이다 : 100 까지숫자에서모든약수의짝을찾고자연수를소수와합성수로판별하기. 주어진자연수가달리주어진한자리숫자의배수인지여부결정하기. 주어진규칙을따르는숫자또는도형패턴을만들고분석하기. 자리값개념을사용한곱셈 (2 개의두자릿수 ) 및나눗셈 ( 큰숫자를한자릿수숫자로나누기 ). 다양한방법들을사용하여곱셈및나눗셈을보이기및설명하기 ( 방정식, 사각형배열및넓이모델 ). 약수및곱비교로서곱셈방정식을판별하기및작성하기 ( 미지수곱, 미지수약수, 미지수그룹사이즈, 미지수숫자그룹 ). 곱셈및나눗셈을사용하여다단계응용문제풀기. 곱셈및나눗셈이포함되는문제들에대한답의타당성을점검하기위해반올림사용하기. 나머지를이해해야만되는나눗셈문제풀기. 모르는양을대신하는심볼이있는방정식을사용하여응용문제표현하기 실제문제에서거리및사각형넓이및둘레공식응용이포함되는문제들을풀기위해네가지연산사용하기. 표준 : 4.OA.4, 4.OA.5, 4.NBT.5, 4.NBT.6, 4.OA.1, 4.OA.2, 4.OA.3, 4.MD.2, 4.MD.3 방법, 표준및설명에대한더많은정보에대해선, 가주프레임워크를방문하시오 : http://www.cde.ca.gov/be/st/ss/documents/ccsmathstandardaug2013.pdf 샘플문제 : 4.OA.5 약수및배수와익숙하게되기 약수 배수 4.NBT.5 자리값방법을사용한다자릿수곱셈 ( 넓이모델, 부분곱, 방정식 )

4.NBT.6 자리값방법을사용한다자릿수나눗셈 ( 넓이모델, 부분몫, 방정식 ) 4.OA.1-3 테이프도표를사용하여실세상상황에서의곱셈비교문제 미지수곱 : Skyler 는 Araceli 보다 미지수약수 ( 미지수그룹 미지수약수 ( 미지수숫자그룹 ): 4 배나많은책을갖고있다. 사이즈 ): Kiara 는학교연극티켓을 중고자전거의가격은 $75 이고 ; Araceli 가 36 권의책을갖고있다면, 45 장팔았으며이는 Tomas 가판 새자전거의가격은 $300 이다. Skyler 는몇권의책을갖고있는가? 티켓보다 3 배나많다. Tomas 는 새자전거의가격은중고자전거가격에 몇장의티켓을판매하였는가? 비해몇배나더비싼가? 4.MD.3 실세상문제에서사각형넓이및둘레공식응용 둘레공식 가정에서의활동 : 숫자모델그림을그리고만든다. 식료품쇼핑, 가정용품구입또는한품목에서하나이상구입하는상황 ( 곱셈사용 ) 또는한봉투에하나이상있는경우, 한개의가격이얼마 ( 나눗셈 ) 인지찾는방법을논의한다. 곱셈및 / 또는나눗셈문제를갖고넓이모델, 배열또는부분곱 / 몫을사용하여설명한다. 집안팎의여러다른장소들을측정한다. 넓이와둘레에대한공식을물은후자녀에게넓이와둘레모두를풀도록한다. 이것은자녀에게이두가지의수학적과정이매일매일의상황예를들어, 거실에새로운양탄자를깔거나뒷마당에치기위한울타리구입의경우, 이것이어떻게사용되는지실세상예를보도록허용한다. 평면도형의넓이및둘레를찾기위해자를사용한다. 자녀에게곱셈및나눗셈과관련된주어진규칙으로패턴을만들도록한다. 덧셈및뺄셈연산을연습한다. 학습링크 : 4.OA.5 약수및배수친밀성습득 https://learnzillion.com/resources/72543-generate-number-or-shape-patterns-and-identify-pattern-features-4-oa-c-5 4.NBT.5 자리값방법을사용한다자릿수곱셈 ( 넓이모델, 부분곱, 방정식 ) https://learnzillion.com/resources/73077-multiply-multi-digit-whole-numbers 4.NBT.6 자리값방법을사용한다자릿수나눗셈 ( 넓이모델, 부분몫, 방정식 ) https://learnzillion.com/resources/72478-find-whole-number-quotients-and-remainders-with-up-to-four-digit-dividends-4-nbt-b-6 4.OA.1-3 테이프도표를사용하여실세상상황에서의곱셈비교문제 https://learnzillion.com/resources/72926-interpret-multiplication-as-a-comparison https://learnzillion.com/resources/72311-solve-word-problems-using-multiplicative-comparisons https://learnzillion.com/resources/72712-solve-multi-step-word-problems 4.MD.3 실세상문제에서사각형넓이및둘레공식응용 https://learnzillion.com/resources/73049-apply-formulas-for-area-and-perimeter 본학부모서한에대한 접속가능한 전자사본링크는커먼코어 ( 공통핵심 ) 페이지 www.gusd.net 를보시오. 4 학년수학링크를따라가페이지맨아래로가서단원 2 (Unit 2) 를클릭하시오. Translated by: GUSD, Intercultural Department Professional Development Parent Letter, Grade 4 Unit 2 Korean 9/2/16

Distrito Escolar Unificado de Glendale Plan de Estudios de Matemáticas 4º Grado - Información para los padres Unidad 2: Multiplicación y división de números enteros Lo que su hijo aprenderá: En la Unidad 2, los estudiantes empezarán a desarrollar la comprensión de la multiplicación y división de los números enteros. Los estudiantes demostrarán su comprensión de los factores y múltiplos, así como los números primos y compuestos. Los estudiantes también continuarán a razonar sobre patrones numéricos, relacionando como la regla de un patrón corresponde a la multiplicación o división. Los estudiantes resolverán problemas contextuales de varios pasos utilizando un diagrama de cinta o diagrama de barras para ayudar a visualizar y resolver problemas de multiplicación y división en un contexto del mundo real. Los estudiantes profundizarán sus habilidades básicas de multiplicación y división de números enteros mayores que 100. Los estudiantes utilizarán representaciones visuales, tales como modelos de área y matrices rectangulares y relacionarán el modelo visual con una ecuación. Se efectuará la relación para que los estudiantes utilicen la multiplicación en escenarios del mundo real, usando fórmulas de área y perímetro y problemas que incluyan mediciones de distancia. MÁS ESPECÍFICAMENTE, LOS ALUMNOS APRENDERÁN CÓMO: Buscar todos los pares de factores de números hasta 100 e identificar los números enteros como primos o compuestos. Determinar si un número entero dado es un múltiplo de otro número de un dígito dado. Generar y analizar un patrón de números o figuras que sigue una regla determinada. Multiplicar (dos números de dos dígitos) y dividir (números grandes entre divisores de un dígito) utilizando conceptos de valor posicional. Ilustrar y explicar la multiplicación y división utilizando diversas estrategias (ecuaciones, matrices rectangulares, y los modelos de área). Identificar y escribir una ecuación de multiplicación como una comparación de factores y un producto (producto desconocido, factores desconocidos, el tamaño del grupo desconocido, y número desconocido de grupos). Resolver problemas de varios pasos usando la multiplicación y la división. Uso de redondeo para comprobar la razonabilidad de las respuestas a los problemas de multiplicación y división. Resolver problemas de división en la que los residuos deben ser interpretados. Representar problemas usando ecuaciones con un símbolo que represente la cantidad desconocida. Usar las cuatro operaciones para resolver problemas de distancias y aplicar las fórmulas de área y perímetro de rectángulos en problemas del mundo real. Estándares: 4.OA.4, 4.OA.5, 4.NBT.5, 4.NBT.6, 4.OA.1, 4.OA.2, 4.OA.3, 4.MD.2, 4.MD.3 Para obtener más información sobre las estrategias, normas y explicaciones, visite el Marco de Referencia de California en: http://www.cde.ca.gov/be/st/ss/documents/ccsmathstandardaug2013.pdf Ejemplos de problemas: 4.OA.5 Familiarizarse con factores y múltiplos 4.NBT.5 Multiplicación de varios dígitos usando estrategias valor posicional (área del modelo, los productos parciales, ecuaciones)

4.NBT.6 División de múltiples dígitos con Valor posicional Estrategias (área del modelo, cocientes parciales, ecuaciones) 4.OA.1-3 Problemas de comparación multiplicativa en el contexto del mundo real usando diagramas de cinta Producto desconocido: Skyler tiene 4 veces más libros que Araceli. Araceli tiene 36 libros, Cuántos libros tiene Skyler? Factor Desconocido (Tamaño del grupo desconocido): Kiara vendió 45 entradas para la obra de la escuela, que es 3 veces más que el número de entradas vendidas por Tomas. Cuántas entradas vendió Tomas? Factor Desconocido (número de grupos desconocido): Una bicicleta usada cuesta $ 75; una nueva cuesta $ 300. Cuántas veces más cuesta la bicicleta nueva en comparación con la bicicleta usada? 4.MD.3 Aplicar las fórmulas de área y perímetro para los rectángulos en problemas del mundo real Actividades en el hogar: Hacer dibujos y modelos de números. Analizar las compras de alimentos, la compra de artículos de uso doméstico, o ingredientes en el contexto de querer comprar más de un artículo (uso de la multiplicación) o cuánto costaría un solo artículo si el paquete tiene más de uno (uso de la división). Imaginar un problema de multiplicación y / o división e ilustrar el uso de un modelo de área, matriz o productos / cocientes parciales. Medir diferentes lugares en la casa o en el exterior. Pedirle a su hijo que recite las fórmulas de área y perímetro y los resuelva. Esto les permitirá ver ejemplos reales de cómo se utilizan estos dos procedimientos matemáticos en un contexto cotidiano. Por ejemplo, si usted quiere comprar una nueva alfombra para la sala de estar o una muro en una parte del patio. Usar una regla para encontrar el área y perímetro de figuras planas. Hacer que los estudiantes creen patrones con una regla determinada en relación con la multiplicación y la división. Practicar la suma y la resta.

Enlaces de aprendizaje: 4.OA.5 Familiarizarse con factores y múltiplos https://learnzillion.com/resources/72543-generate-number-or-shape-patterns-and-identify-pattern-features-4-oa-c-5 4.NBT.5 Multiplicación de varios dígitos usando estrategias valor posicional (área del modelo, los productos parciales, ecuaciones) https://learnzillion.com/resources/73077-multiply-multi-digit-whole-numbers 4.NBT.6 División de múltiples dígitos con Valor posicional Estrategias (área del modelo, cocientes parciales, ecuaciones) https://learnzillion.com/resources/72478-find-whole-number-quotients-and-remainders-with-up-to-four-digit-dividends-4-nbt-b-6 4.OA.1-3 Problemas de comparación multiplicativa en el contexto del mundo real usando diagramas de cinta https://learnzillion.com/resources/72926-interpret-multiplication-as-a-comparison https://learnzillion.com/resources/72311-solve-word-problems-using-multiplicative-comparisons https://learnzillion.com/resources/72712-solve-multi-step-word-problems 4.MD.3 Aplicar las fórmulas de área y perímetro para los rectángulos en problemas del mundo real https://learnzillion.com/resources/73049-apply-formulas-for-area-and-perimeter Para ver una copia electrónica de esta carta a los padres, con los enlaces de "hacer clic", por favor vaya a las páginas del Tronco Común en www.gusd.net. Siga los enlaces para las matemáticas, grado 4. Vaya a la parte inferior de la página y haga clic en la unidad 2.