Glendale Unified School District Open Source Math Curriculum Grade 5 Parent Information Unit 1: Whole Numbers and Evaluating Expressions What Your Child Will Learn: Unit 1 contains two parts, Part A and Part B. Part A focuses on place value, powers of 10, multiplication of multi-digit whole numbers using standard algorithm, and division of whole numbers using strategies other than standard algorithm. Part B focuses on writing and interpreting numerical expressions, evaluating numerical expressions containing parentheses, brackets, or braces, and expressing whole numbers as products of their prime factors. MORE SPECIFICALLY, CHILDREN WILL LEARN HOW TO: Recognize the magnitude of 10 on the place value. Explain patterns of zeros when multiplying whole numbers by powers of 10, and use whole-number exponents to denote powers of 10. Multiply multi-digit whole numbers using the standard algorithm. Divide a whole number (up to four-digit) by a two-digit number. Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions. Write and interpret numerical expressions. Express a whole number in the range 2-50 as a product of its prime factors. Standards: 5.NBT.1,,,,,,.1 SAMPLE PROBLEMS: 5.NBT.1 10 x 4.2 = 42 (10 times larger than 4.2) 4 10 = 0.4 (!!" of 4)
3 x (18 + 3) is three times as large as 18 + 3.1 The prime factors of 24 can be used to express 24 as 2 x 2 x 2 x 3 Activities at Home Jesse puts 10 jellybeans on a scale and the scale reads 12.0 grams. How much would you expect 1 jellybean to weigh? Using the digits 4, 9, 7, 1 and 5, create a division sentence with a two-digit divisor and the greatest possible quotient. Write a division problem that has a four-digit dividend and a one-digit divisor with a quotient that is even Do these equations have the same solution? Why or why not? (18 + 5) x 2 AND 18 + (5 x 2) Given 12 4 + 2, where should the parentheses be in this equation to make it equal 2? Do you need to do the calculations to know which answer is larger? 6 x (184 + 948) OR (948 + 184) x 3? How much larger will the answer be? Learning Links: Khan Academy Questions for children to work on different standards and videos to demonstrate hints and tips https://www.khanacademy.org/commoncore/grade-1-oa Online practice for place value http://www.funbrain.com/tens/ Online lesson and practice https://learnzillion.com/lesson_plans/605 https://learnzillion.com/lesson_plans/8117-use-partial-products-for-multiplication (Partial Product) https://learnzillion.com/lesson_plans/8460-understand-multiplication-and-division-relationships https://learnzillion.com/lesson_plans/8166-make-equations-true-by-adding-parentheses https://learnzillion.com/lesson_plans/5656-write-expressions-to-represent-numerical-situations
Glendale Unified School District Maj;matika\i ousoumnakan ragir T;[;kouj\ounn;r 5-rd dasaranzin;ri no[n;ri famar Bavin 1^ ambo[=akan jw;r artafa\touj\ounn;ri gnafatoum Inc ksowori ];r ;r;.an^ 1-in bavine% ;rkou masiz h ba[kaza ^ Mas A Mas B! A mase jwa\in arv;qi% 10-i astiyani% standart algorijm øgtagor ;low baxmani, ambo[=akan jw;ri baxmapatkman standart algorijmiz bazi a\l strat;gian;r øgtagor ;low ambo[=akan jw;ri bavanman wra h k;ntronanoum! B mase jwa\in artafa\touj\ounn;r gr;lou m;knaban;lou% 'akag ;row ou brak;tn;row jwa\in artafa\touj\ounn;re gnafat;lou ambo[=akan jw;re orp;s parx artadricn;ri artadr\al n;rka\azn;lou wra h k;ntronanoum! MASNAWORAP:S% A<AK:RTN:RE KSOWOR:N J: INCP:S^ Yanac;l 10-i m; ouj\oune jwa\in arv;qoum! Bazatr;l xroi ørinakn;re% ;rb ambo[=akan jiwe baxmapatkoum ;q tasi astiyanow øgtagor ;l ambo[=akan jwow astiyanazou\z 10-i astiyane zou\z talou famar! Baxmapatk;l baxmani, ambo[=akan jw;re standart algorijm øgtagor ;low! Ambo[=akan jw;re (minc 4 jiw) bavan;l ;rkani, jwow! Jwa\in artafa\touj\ounn;roum 'akag ;r ou brak;tn;r øgtagor ;l gnafat;l artafa\touj\oune! Gr;l m;knaban;l jwa\in artafa\touj\ounn;re! 2-50 ambo[=akan jw;re orp;s parx artadricn;ri artadr\al n;rka\azn;l! Ca'ani,n;r^ 5.NBT.1,,,,,,.1 ØRINAKN:R^ 5.NBT.1 10 x 4.2 = 42 (10 angam aw;li m; qan 4.2-e) 4 10 = 0.4 (! A,ak;rtn;re p;tq h gr;n^ 36 10 = 36 10! = 360 36 10 10 = 36 10! = 3600 36 10 10 10 = 36 10! = 36,000 36 10 10 10 10 = 36 10! = 360,000!" of 4) Sa 4-i 123-i artadr\aln h Sa 30-i 123-i artadr\aln h Sa ;rkou masnaki artadr\aln;ri goumarn h N;rq oum% bavanman mak;r;sa\in ørinak h zouzadrw;l! Minc a,ak;rtn;rn øgtagor oum ;n mak;r;sa\in ørinake% na f;t oum h j; 9984-iz incqan h mnaz;l bavan;lou famar! Mak;r;sa\in ørinak Ar]anagroum Translated By: GUSD Intercultural Office Math Unit 1 Parent Letter- Grade 5 Armenian Professional Development
>ndirn;r Patas.ann;r >mbaworman simwol øgtagor ;q fawasaroume yi,t dar]n;lou famar^ 15 7 2 = 10 15 (7-2)=10 >mbaworman simwol øgtagor ;q fawasaroume yi,t dar]n;lou famar^ 3 125 25 + 7 = 22 Fam;mat;q 13 2 + 5 -e 3 (2 + 5) -e Fam;mat;q 15 6 + 7-e 15 (6 + 7) -e 3 (125 25) + 7 = 22 13 2 + 5 = 11 3 2 + 5 = 21 15 6 + 7 = 16 15 6 + 7 = 2 3 x (18 + 3)-e ;r;q angam aw;li,at h 18 + 3-iz.1 24-i parx artadricn;re kar;li h øgtagor ;l 24-e artafa\t;l orp;s 2 x 2 x 2 x 3 Tane katarwo[ a,.atanqn;r +;sin 10 kon`;t k, ;z k,; qe 12&0 gram zou\z tw;z! Incqa#n klini 1 kon`;ti qa,e! 4% 9% 7% 1 5 jw;re øgtagor ;low ;rkani, bavanararow am;nam; qanordow bavanman mi warvouj\oun gr;q! Qa ani, jwow (bavan;li) miani, jwow (bavanarar) bavanman mi warvouj\oun gr;q% ori qanorde xou\g jiw lini! Ard\oq a\s fawasaroumn;ri lou o#ume nou\nn h! Inco#u inco#u oc! (18 + 5) x 2 AND 18 + (5 x 2) 12 4 + 2 artafa\touj\an m;=% 'akag ;re ort;#[ p;tq h drw;n% or fawasaroume fawasar lini 2-i! Ard\oq warvouj\ounn;re lou ;lou kariq oun;#q% orp;sxi imanaq j; orn h aw;li m;! 6 x (184 + 948) KAM (948 + 184) x 3! Orqa#n m; kini patas.ane! Ousouzman fangou\zn;r Khan Academy Tarb;r ca'oro,icn;ri wra a,.at;lou farz;r ;r;.an;ri famar.orfourdn;ri fou,oumn;ri t;safolowakn;r https://www.khanacademy.org/commoncore/grade-1-oa Jwa\in arv;qi a zanz warvouj\ounn;r http://www.funbrain.com/tens/ A zanz das;r warvouj\ounn;r https://learnzillion.com/lesson_plans/605 https://learnzillion.com/lesson_plans/8117-use-partial-products-for-multiplication (Masnaki artadr\al) https://learnzillion.com/lesson_plans/8460-understand-multiplication-and-division-relationships https://learnzillion.com/lesson_plans/8166-make-equations-true-by-adding-parentheses https://learnzillion.com/lesson_plans/5656-write-expressions-to-represent-numerical-situations Translated By: GUSD Intercultural Office Math Unit 1 Parent Letter- Grade 5 Armenian Professional Development
글렌데일통합교육구수학교과과정공개자료 5 학년학부모정보단원 1: 자연수및식의값구하기 귀자녀는무엇을배울것인가 : 단원 1 은파트 A 와파트 B 로나뉜다. 파트 A 는자리값, 10 제곱, 표준기수법을사용한다자리수자연수곱셈및표준기수법이외의방법을사용한자연수나눗셈에중점을둔다. 파트 B 는수식작성및해석, 괄호, 중괄호, 모난괄호가포함된수식의값구하기그리고자연수의소인수곱으로자연수표현에중점을둔다. 좀더구체적으로, 아동들은다음의것들을배울것이다 : 자리값에서 10 의크기를인식한다 10 의거듭제곱으로자연수를곱하는경우, 0 의패턴을설명하고, 10 의거듭제곱을표시하기위해자연수지수를사용한다 표준기수법을사용하여다자릿수숫자곱하기 두자릿수숫자로자연수 ( 최대 4 자릿수 ) 나누기 수식에서괄호, 중괄호, 모난괄호사용하기및식의값구하기 수식작성및해석 2-50 범위안에서소인수곱으로서자연수표현하기 표준 : 5.NBT.1,,,,,,.1 샘플문제 : 5.NBT.1 10 x 4.2 = 42 (4.2 보다 10 배크다 ) 4 10 = 0.4 (4 의 1 10 ) 학생들은다음과같이 이것은 4 와 123 의곱이다이것은 30 과 123 의곱이다. 이것은두부분곱의합이다. 나눗셈의넓이모델은아래와같다. 넓이모델사용시, 학생은나누기에서 9984 의어느정도의숫자가남는지계속추적할필요가있다. 넓이모델 : 기록방식
문제 방정식이사실이되도록그룹으로묶는심볼을사용한다 : 답안 방정식이사실이되도록그룹으로묶는심볼을사용한다 : 및 을비교하라 3 x (18 + 3) 은 18 + 3 보다 3 배크다.1 24 의소인수는 2 x 2 x 2 x 3 로서 24 를표현하기위해사용될수있다. 가정에서의활동 및 을비교하라 제시는 10 개의젤리빈을저울에놓았고저울은 12.0 그램을가리켰다. 1 개의젤리빈무게는얼마인가? 자릿수 4, 9, 7, 1 및 5 를사용하여두자릿수제수와최대몫을갖는나눗셈문장을만든다. 동일한몫을갖는네자리피제수와한자리의제수를갖는나눗셈문제를작성한다. 이방정식들은같은답안을갖는가? 같거나같지않는경우, 그이유는? (18 + 5) x 2 과 18 + (5 x 2) 12 4 + 2 이방정식에서답이 2 가되기위해선어디에괄호를하여야하는가? 어느답안이더큰지보기위해학생은이것들을계산할필요가있다. 6 x (184 + 948) 또는 (948 + 184) x 3? 어느답안이얼마나더큰가? 학습링크 : Khan Academy 여러다른표준들을공부하기위한아동들을위한질문그리고힌트와팁을보여주기위한비디오 https://www.khanacademy.org/commoncore/grade-1-oa 자리값에대한온라인연습 http://www.funbrain.com/tens/ 온라인수업및연습 https://learnzillion.com/lesson_plans/605 https://learnzillion.com/lesson_plans/8117-use-partial-products-for-multiplication ( 부분적 ) https://learnzillion.com/lesson_plans/8460-understand-multiplication-and-division-relationships https://learnzillion.com/lesson_plans/8166-make-equations-true-by-adding-parentheses https://learnzillion.com/lesson_plans/5656-write-expressions-to-represent-numerical-situations Translated by: GUSD, Intercultural Department Professional Development Parent Letter, Grade 5 Unit 1 Korean 6/17/2016
Distrito Escolar Unificado de Glendale Plan de Estudios de Matemáticas Open Source 5.o Grado - Información para los padres Unidad 1: Números enteros y evaluar expresiones Lo que su hijo aprenderá: La unidad 1 está formada de dos partes, Parte A y Parte B. La parte A se centra en el valor posicional, las potencias de 10, la multiplicación de números enteros de varios dígitos utilizando el algoritmo estándar, y la división de números enteros usando estrategias distintas del algoritmo estándar. La parte B se centra en la escritura y la interpretación de las expresiones numéricas, la evaluación de expresiones numéricas que contienen paréntesis, corchetes o llaves, y en expresar los números enteros como producto de sus factores primos. MÁS ESPECÍFICAMENTE, SU HIJO APRENDERÁ CÓMO: Reconocer la magnitud de 10 en el valor posicional. Explicar los patrones de ceros al multiplicar números enteros por potencias de 10, y usar exponentes de números enteros para denotar potencias de 10. Multiplicar números enteros de varios dígitos usando el algoritmo estándar. Dividir un número entero (de hasta cuatro dígitos) por un número de dos dígitos. Usar paréntesis, corchetes o llaves en expresiones numéricas, y evaluar expresiones. Escribir e interpretar las expresiones numéricas. Expresar un número entero en el rango de 2 a 50 como producto de sus factores primos. Normas: 5.NBT.1,,,,,,.1 Ejemplos de problemas: 5.NBT.1 10 x 4.2 = 42 (10 veces más grande que 4.2) 4 10 = 0.4 (! Los alumnos podrían escribir!" of 4) Este es el producto de 4 y 123 Este es el producto de 30 y 123 Esta es la suma de los dos productos parciales Se muestra un área modelo. A medida que el alumno usa el área modelo, mantiene un registro de cuanto falta de dividir de 9984
Área modelo Llevando el registro Problemas Respuestas Usa símbolos de agrupación para hacer que la ecuación 15 7 2 = 10 sea cierta 15 ( 7 2 ) = 10 Usa símbolos de agrupación para hacer que la ecuación 3 x 125 25 + 7 = 22 sea cierta 3 x (125 25) + 7 = 22 Compara 3 x 2 + 5 y 3 x (2 + 5) 3 x 2 + 5 = 11 3 x (2 + 5) = 21 Compara 15 6 + 7 y 15 (6 + 7) 15 6 + 7 = 16 15 (6 + 7) = 2 3 x (18 + 3) es tres veces tan grande como 18 + 3.1 Los factores primos de 24 se pueden usar para expresar 24 como 2 x 2 x 2 x 3 Actividades en el hogar Jesse pone 10 caramelos en una báscula y la báscula lee 12.0 gramos. Cuánto crees que pese 1 caramelo? Usando los dígitos 4, 9, 7, 1 y 5, crear una frase de división con un divisor de dos dígitos y el mayor cociente posible. Escribe un problema de división que tenga un dividendo de cuatro dígitos y un divisor de un dígito con un cociente que sea par Tienen estas ecuaciones la misma solución? Por qué o por qué no? (18 + 5) x 2 Y 18 + (5 x 2) Dado 12 4 + 2, dónde deben estar los paréntesis en esta ecuación para que sea igual a 2? Es necesario hacer los cálculos para saber cuál es la respuesta más grande? 6 x (184 + 948) O (948 + 184) x 3? Cuánto más grande será la respuesta? Enlaces de aprendizaje: Khan Academy Preguntas para los niños para que trabajen en diferentes normas y videos para demostrar consejos y sugerencias https://www.khanacademy.org/commoncore/grade-1-oa Práctica en línea del valor posicional http://www.funbrain.com/tens/ Lecciones y práctica en línea https://learnzillion.com/lesson_plans/605 https://learnzillion.com/lesson_plans/8117-use-partial-products-for-multiplication (Producto parcial) https://learnzillion.com/lesson_plans/8460-understand-multiplication-and-division-relationships https://learnzillion.com/lesson_plans/8166-make-equations-true-by-adding-parentheses https://learnzillion.com/lesson_plans/5656-write-expressions-to-represent-numerical-situations