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Həm müsbət, həm də mənfiləri toplamaq və çıxmaqla sınaqdan keçirin və cəminin müsbət və ya mənfi olacağına dair proqnozlar verin.","downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_az.html","id":14168,"isCheerpj":false,"learningGoals":"Üfüqi say xəttində tam ədədlərin toplanması və çıxılmasını təmsil edir<br/>Tam ədədlərin ədəd yerləri baxımından toplanması və çıxılmasının səbəbi<br/>Məntiqi zərurətdən istifadə edərək, toplamanın çıxma kimi əks təsirə malik olduğunu və ya mənfi tam ədədin əlavə edilməsinin (və ya çıxılmasının) müsbət tam ədədin əlavə edilməsinin (və ya çıxılmasının) əks təsiri olduğunu əsaslandırın.<br/>Tam ədədlərin və fərqlərin ekvivalent siniflərini tanıyın və yaradın<br/>Ədədin və onun tərs əlavəsinin (əks) cəminin 0 olduğunu göstərin<br/>Xalis dəyər kontekstindən istifadə edərək müsbət cəmi və ya fərqi, mənfi cəmi və ya fərqi və sıfır cəmi və ya fərqi olan vəziyyətləri təsvir edin<br/>Mənfi əlavə etməyi müsbəti çıxarmağa bərabər hesab edin və bu əlaqənin xalis dəyər kimi kontekstlərdə niyə məna kəsb etdiyini izah edin.<br/>Mənfi çıxmağı müsbət əlavə etməyə bərabər hesab edin və bu əlaqənin xalis dəyər kimi kontekstlərdə niyə məna kəsb etdiyini izah edin.<br/>Yeni kontekstlərə toplama və çıxma üçün ədəd oxu modelini tətbiq edin.","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_az.html","simPageUrl":"/az/simulations/number-line-operations","teachersGuide":"/teachers-guide/number-line-operations-html-guide_az.pdf","title":"Ədəd oxu: Əməliyyatlar"},"bg":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_bg.html","id":14370,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_bg.html","simPageUrl":"/bg/simulations/number-line-operations","title":"Числов ред: операции"},"bn":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_bn.html","id":13073,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_bn.html","simPageUrl":"/bn/simulations/number-line-operations","title":"নম্বর লাইন: অপারেশন"},"bs":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_bs.html","id":10935,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_bs.html","simPageUrl":"/bs/simulations/number-line-operations","title":"Brojevna prava: Operacije"},"ca":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_ca.html","id":13346,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_ca.html","simPageUrl":"/ca/simulations/number-line-operations","title":"Recta numèrica: operacions"},"cs":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_cs.html","id":12242,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_cs.html","simPageUrl":"/cs/simulations/number-line-operations","title":"Číselná osa: operace"},"da":{"description":"Udforske udregninger med heltal ved en praktisk sammenhæng af nettoværdi, og derefter skabe sammenhæng på en tallinje. Eksperimentere med at tilføje og fratrække både positive og negative tal, og forudsige om det samlede beløb vil være positivt eller negativt.","downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_da.html","id":10890,"isCheerpj":false,"learningGoals":"Repræsentere addition og subtraktion af heltal på en vandret talelinje <br/> Forklare addition og subtraktion af heltal med hensyn til tallenes placeringer <br/> Bruge en logisk forklaring for at begrunde, at addition har den modsatte effekt af subtraktion, eller at tilføje (eller fratrække) et negativt heltal har den modsatte virkning som at tilføje (eller fratrække) et positivt heltal. <br/> Genkende og generere klasser af heltal og forskelle <br/> Vise at et tal og dets numerisk modsatte har en sum af 0 <br/> Bruge en nettoværdi-kontekst til at beskrive situationer, der har en positiv sum eller forskel, negativ sum eller forskel og nul sum eller forskel <br/> Vise at tilføjelse af et negativt tal som ækvivalent med at fratrække et positivt, og forklare hvorfor dette forhold giver mening i en sammenhæng som nettoværdi. <br/> Vise fratrækning af et negativt tal som ækvivalent med tilføjelse af et positivt, og forklare hvorfor dette forhold giver mening i sammenhænge med nettoværdi. <br/> Anvende en talelinjemodel til addition og subtraktion i nye sammenhænge.","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_da.html","simPageUrl":"/da/simulations/number-line-operations","title":"Tallinje: Beregninger"},"de":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_de.html","id":10912,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_de.html","simPageUrl":"/de/simulations/number-line-operations","title":"Zahlenstrahl: Operationen"},"el":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_el.html","id":10904,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_el.html","simPageUrl":"/el/simulations/number-line-operations","title":"Αριθμογραμμή: πράξεις"},"en":{"description":"Explore operations with integers using an authentic context of net worth, then generalize with a number line. 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Experimenta sumando y restando tanto positivos como negativos, y haz predicciones sobre si el total será positivo o negativo.","downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_es.html","id":10899,"isCheerpj":false,"learningGoals":"Representa la suma y resta de números enteros en una recta numérica horizontal.<br/>Razona sobre la suma y resta de números enteros en términos de la ubicación de los números en la recta numérica.<br/>Utiliza la lógica para razonar que la suma tiene el efecto opuesto a la resta o que sumar (o restar) un número entero negativo tiene el efecto opuesto a sumar (o restar) un entero positivo.<br/>Reconoce y genera sumas y restas equivalentes con enteros.<br/>Demuestra que un número y su inverso aditivo (opuesto) tienen una suma igual a 0.<br/>Usando un contexto de patrimonio neto, describe situaciones que tienen una suma o resta positiva, una suma o resta negativa y una suma o resta igual a cero.<br/>Considera sumar un negativo como equivalente a restar un positivo y explique por qué esta relación tiene sentido en contextos como el valor neto.<br/>Considera restar un negativo como equivalente a sumar un positivo y explique por qué esta relación tiene sentido en contextos como el valor neto.<br/>Aplica un modelo de recta numérica para sumar y restar en nuevos contextos.","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_es.html","simPageUrl":"/es/simulations/number-line-operations","teachersGuide":"/teachers-guide/number-line-operations-html-guide_es.pdf","title":"Recta Numérica: Operaciones"},"es_PE":{"description":"Explore operaciones con números enteros usando un contexto auténtico de valor neto, luego generalice con una recta numérica. Experimente sumando y restando positivos y negativos, y haga predicciones sobre si el total será positivo o negativo.","downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_es_PE.html","id":10897,"isCheerpj":false,"learningGoals":"Representar la suma y resta de números enteros en una recta numérica horizontal <br/> Razón sobre la suma y resta de números enteros en términos de ubicaciones de números <br/> Utilice la necesidad lógica para razonar que la suma tiene el efecto opuesto a la resta o que la suma (o restar) un entero negativo tiene el efecto opuesto a sumar (o restar) un entero positivo. <br/> Reconocer y generar clases de equivalencia de sumas y diferencias enteras <br/> Demuestre que un número y su inverso aditivo (opuesto) tienen un suma de 0 <br/> Usando un contexto de patrimonio neto, describa situaciones que tengan una suma o diferencia positiva, una suma o diferencia negativa y una suma o diferencia cero <br/> Vea la suma de un negativo como equivalente a restar un positivo y explique por qué esta relación tiene sentido en contextos como el valor neto. <br/> Considere restar un negativo como equivalente a sumar un positivo y explique por qué esta relación tiene sentido en contextos como el valor neto. <br/> Aplique un modelo de recta numérica para adición y sustraccuón en nuevos contextos.","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_es_PE.html","simPageUrl":"/es_PE/simulations/number-line-operations","title":"Recta numérica: Operaciones"},"eu":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_eu.html","id":10907,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_eu.html","simPageUrl":"/eu/simulations/number-line-operations","title":"Zenbaki-lerroa: eragiketak"},"fa":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_fa.html","id":11540,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_fa.html","simPageUrl":"/fa/simulations/number-line-operations","title":"محور اعداد: عملیات"},"fa_DA":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_fa_DA.html","id":15121,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_fa_DA.html","simPageUrl":"/fa_DA/simulations/number-line-operations","title":"محور اعداد: عملیهها"},"fi":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_fi.html","id":14428,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_fi.html","simPageUrl":"/fi/simulations/number-line-operations","title":"Lukusuora: Laskutoimitukset"},"fr":{"description":"Explorez les opérations avec des nombres entiers en utilisant un contexte authentique de valeur nette, puis généralisez avec une droite numérique. Expérimentez l'addition et la soustraction de nombres positifs et négatifs, et faites des prédictions sur le fait que le total sera positif ou négatif.","downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_fr.html","id":10908,"isCheerpj":false,"learningGoals":"Représenter l'addition et la soustraction des entiers sur une droite numérique horizontale<br/>Raisonner sur l'addition et la soustraction des entiers en termes d'emplacements de nombres<br/>Utiliser la nécessité logique pour raisonner sur le fait que l'addition a l'effet opposé à la soustraction ou que l'ajout (ou la soustraction) d'un entier négatif a l'effet opposé à l'ajout (ou à la soustraction) d'un entier positif.<br/>Reconnaître et générer des classes d'équivalence de sommes et de différences d'entiers<br/>Montrer qu'un nombre et son opposé ont une somme de 0<br/>En utilisant un contexte de valeur nette, décrivez les situations qui ont une somme ou une différence positive, une somme ou une différence négative et une somme ou une différence nulle<br/>Considérez l'ajout d'un négatif comme équivalent à la soustraction d'un positif et expliquez pourquoi cette relation a du sens dans des contextes tels que la valeur nette.<br/>Considérez la soustraction d'un négatif comme équivalente à l'ajout d'un positif et expliquez pourquoi cette relation a du sens dans des contextes tels que la valeur nette.<br/>Appliquer un modèle de droite numérique pour l'addition et la soustraction à de nouveaux contextes.","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_fr.html","simPageUrl":"/fr/simulations/number-line-operations","title":"Droite numérique: opérations"},"gu":{"description":"નેટ વર્થના અધિકૃત સંદર્ભનો ઉપયોગ કરીને પૂર્ણાંકો સાથે કામગીરીનું અન્વેષણ કરો, પછી સંખ્યા રેખા સાથે સામાન્યીકરણ કરો. પોઝિટિવ અને નેગેટિવ બંનેને ઉમેરવા અને બાદબાકી કરવાનો પ્રયોગ કરો અને કુલ પોઝિટિવ હશે કે નેગેટિવ તે અંગે આગાહી કરો.","downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_gu.html","id":11741,"isCheerpj":false,"learningGoals":"આડી સંખ્યા રેખા પર પૂર્ણાંકોના સરવાળા અને બાદબાકીનું પ્રતિનિધિત્વ કરો<br/>સંખ્યા-સ્થાનોના સંદર્ભમાં પૂર્ણાંકોના સરવાળા અને બાદબાકી વિશેનું કારણ<br/>એટલા માટે તાર્કિક આવશ્યકતાનો ઉપયોગ કરો કે ઉમેરણની બાદબાકી અથવા તે ઉમેરણ (અથવા બાદબાકી) નેગેટિવ પૂર્ણાંકને પોઝિટિવ પૂર્ણાંક ઉમેરવા (અથવા બાદબાકી) તરીકે વિપરીત અસર થાય છે.<br/>પૂર્ણાંક સરવાળો અને તફાવતોના સમકક્ષ વર્ગોને ઓળખો અને જનરેટ કરો<br/>બતાવો કે સંખ્યા અને તેના ઉમેરણ વ્યસ્ત (વિરુદ્ધ) પાસે છે 0 નો સરવાળો<br/>નેટવર્થ સંદર્ભનો ઉપયોગ કરીને, એવી પરિસ્થિતિઓનું વર્ણન કરો કે જેમાં પોઝિટિવ સરવાળો અથવા તફાવત, નેગેટિવ સરવાળો અથવા તફાવત અને શૂન્ય સરવાળો અથવા તફાવત હોય<br/>ધનને બાદબાકી કરવા માટે સમકક્ષ તરીકે નેગેટિવ ઉમેરવાનું જુઓ અને સમજાવો નેટ વર્થ જેવા સંદર્ભોમાં આ સંબંધ શા માટે અર્થપૂર્ણ છે.<br/>નેગેટિવ બાદબાકીને પોઝિટિવ ઉમેરવાની સમકક્ષ તરીકે જુઓ અને નેટ વર્થ જેવા સંદર્ભોમાં આ સંબંધ શા માટે અર્થપૂર્ણ છે તે સમજાવો.<br/>નંબર લાઇન મોડલ લાગુ કરો વધારા માટે n અને નવા સંદર્ભોમાં બાદબાકી.","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_gu.html","simPageUrl":"/gu/simulations/number-line-operations","title":"સંખ્યા રેખા : ગાણિતિક ક્રિયાઓ"},"ha":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_ha.html","id":13712,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_ha.html","simPageUrl":"/ha/simulations/number-line-operations","title":"Layin lambobi: yanayin gudanar"},"hi":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_hi.html","id":13064,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_hi.html","simPageUrl":"/hi/simulations/number-line-operations","title":"संख्या रेखा : संक्रियाएँ"},"hr":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_hr.html","id":10903,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_hr.html","simPageUrl":"/hr/simulations/number-line-operations","title":"Brojevna crta: Računske operacije"},"ht":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_ht.html","id":11317,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_ht.html","simPageUrl":"/ht/simulations/number-line-operations","title":"Nimewo Liy: Operasyon"},"hu":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_hu.html","id":10911,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_hu.html","simPageUrl":"/hu/simulations/number-line-operations","title":"Számegyenes - műveletek"},"ig":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_ig.html","id":12220,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_ig.html","simPageUrl":"/ig/simulations/number-line-operations","title":"Ahịrị nọmba: Ọrụ"},"is":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_is.html","id":16155,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_is.html","simPageUrl":"/is/simulations/number-line-operations","title":"Talnalína: Reikniaðgerðir"},"it":{"description":"Esplora le operazioni con numeri interi utilizzando un contesto reale del patrimonio netto, quindi generalizza con la retta orientata. Sperimenta aggiungendo e sottraendo sia numeri positivi che negativi e fai previsioni sul totale se sarà positivo o negativo.","downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_it.html","id":10892,"isCheerpj":false,"learningGoals":"Rappresentare l'addizione e la sottrazione di numeri interi sulla retta orientata <br/> Ragionare sulla addizione e sottrazione di interi in termini di posizione dei numeri <br/> Usare la necessità logica per ragionare sul fatto che l'addizione ha l'effetto opposto della sottrazione o che l'addizione (o sottrazione) di un numero intero negativo ha l'effetto opposto rispetto all'addizione (o sottrazione) di un numero intero positivo. <br/> Riconoscere e generare classi di equivalenza di somme e differenze intere <br/> Mostrare che un numero e il suo opposto hanno assommano a 0 <br/> Utilizzando il contesto del patrimonio netto, descrivere le situazioni che hanno una somma o una differenza positiva, una somma o una differenza negativa e una somma o una differenza zero <br/> Visualizzare l'aggiunta di un valore negativo come equivalente alla sottrazione di un positivo e spiegare perché questa relazione ha senso in contesti come il patrimonio netto. <br/> Visualizzare la sottrazione di un negativo come equivalente all'aggiunta di un positivo e spiegare perché questa relazione ha senso in contesti come il patrimonio netto. <br/> Applicare il modello di linea numerica per addizione sottrazione in nuovi contesti.","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_it.html","simPageUrl":"/it/simulations/number-line-operations","title":"Retta dei numeri: operazioni"},"iw":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_iw.html","id":11351,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_iw.html","simPageUrl":"/iw/simulations/number-line-operations","title":"מספר קווים: פעולות"},"ja":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_ja.html","id":13197,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_ja.html","simPageUrl":"/ja/simulations/number-line-operations","title":"数直線：演算"},"ki":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_ki.html","id":14608,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_ki.html","simPageUrl":"/ki/simulations/number-line-operations","title":"Mĩtĩ ya Namba: Wĩra"},"kk":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_kk.html","id":16122,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_kk.html","simPageUrl":"/kk/simulations/number-line-operations","title":"Сан түзуі: Амалдар"},"ko":{"description":"정통의 알짜 가치 상황에서 정수로 연산을 탐색하고 수선을 사용하여 일반화하세요. 양 및 음의 값을 더하여 실험하고 전체가 양일지 음일지를 예상해보시오.","downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_ko.html","id":14073,"isCheerpj":false,"learningGoals":"수평 수선에 정수의 추가와 제거를 나타낸다.<br/>수-위치로 정수의 추가와 제거하는 것을 궁리한다.<br/>더하기는 빼기 또는 음 정수의 추가(제거)는 양 정수의 추가(제거)의 반대 효과가 있다는 사고에 논리적 필요성을 이용한다.<br/>정수의 합과 차이에 대한 동등한 부류를 인식하고 생성한다.<br/>한 수와 그 수의 역(반대)를 더하면 합이 0이 됨을 보여준다.<br/>알짜 가치 상황을 사용하여 양의 합과 차이, 음의 합과차이, 합과 차이가 차이가 없는 경우를 기술한다.<br/>음수를 더하는 것이 양수를 빼는 것과 같음을 보이고, 왜 이것이 알짜 가치의 상황 등에 적합한지를 설명한다.<br/>음수를 빼는 것이 양수를 더하는 것과 동등함을 보여주고 왜 이것이 알짜 가치와 같은 상황에 적합함을 설명한다.<br/>수선을 새로운 상황의 더하기와 빼기 모형에 적용한다.","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_ko.html","simPageUrl":"/ko/simulations/number-line-operations","title":"수선: 작업"},"ku":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_ku.html","id":16073,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_ku.html","simPageUrl":"/ku/simulations/number-line-operations","title":"هێڵی ژمارەکان: کردارەکان"},"lg":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_lg.html","id":14052,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_lg.html","simPageUrl":"/lg/simulations/number-line-operations","title":"Layini y'ennamba: Enkoola"},"lt":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_lt.html","id":15972,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_lt.html","simPageUrl":"/lt/simulations/number-line-operations","title":"Skaičių tiesė: veiksmai"},"lv":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_lv.html","id":11034,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_lv.html","simPageUrl":"/lv/simulations/number-line-operations","title":"Skaitļu ass: Darbības"},"mi":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_mi.html","id":10961,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_mi.html","simPageUrl":"/mi/simulations/number-line-operations","title":"Rārangi Tau: Paheko"},"mn":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_mn.html","id":11571,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_mn.html","simPageUrl":"/mn/simulations/number-line-operations","title":"Тоон шулуун: Үйлдэл"},"ms":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_ms.html","id":11581,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_ms.html","simPageUrl":"/ms/simulations/number-line-operations","title":"Garis Nombor: Operasi"},"nl":{"description":"Ontdek bewerkingen met gehele getallen gebruikmakend van een authentieke context van netto waarde, veralgemeen daarna met een getallijn. Experimenteer met optellen en aftrekken van zowel positieve als negatieve gehele getallen en maak voorspellingen over het totaal of dat positief of negatief zal zijn.","downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_nl.html","id":10891,"isCheerpj":false,"learningGoals":"Stel optelling en aftrekking van gehele getallen voor op een horizontale getallenlijn.<br/>Denk na over optellen en aftrekken van gehele getallen in termen van de plaats van getallen.<br/>Gebruik de logische noodzaak om na te denken over optellen die een tegengesteld effect heeft dan aftrekken of dat optellen (of aftrekken) van een negatief geheel getal <br/> het tegengesteld effect hebben dan het optellen (of aftrekken) van een positief geheel getal.<br/>Herkennen en genereren van equivalente klassen van sommen en verschillen van gehele getallen.<br/>Aantonen dat een getal en zijn additieve inverse (opposiete) 0 hebben als som.<br/>Gebruik maken van een netto waarde context, situaties beschrijven die een positieve som of verschil, een negatieve som of verschill en nul als som of verschil hebben.<br/>Bekijk het optellen van een negatief getal als equivalent met het aftrekken van een positief getal en leg uit waarom dit zin heeft in contexten zoals deze van de netto waarde.<br/>Bekijk het aftrekken van een negatief getal als equivalent met het optellen van een positief getal en leg uit waarom dit zin heeft in contexten zoals deze van de netto waarde.<br/>Pas een getal lijn model toe voor optellen en aftrekken in nieuwe contexten.","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_nl.html","simPageUrl":"/nl/simulations/number-line-operations","title":"Getallijn: Bewerkingen"},"ny":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_ny.html","id":12780,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_ny.html","simPageUrl":"/ny/simulations/number-line-operations","title":"Mzere wa Nambala: Zogwirira Ntchito"},"om":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_om.html","id":12701,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_om.html","simPageUrl":"/om/simulations/number-line-operations","title":"Sarara Lakkoofsaa: Shallagiwwan"},"pl":{"description":"Zgłębiaj operacje na liczbach całkowitych, badając wartość sumaryczną zaciągniętych długów i posiadanych dóbr, a następnie uogólnij te działania na osi liczbowej. Eksperymentuj z dodawaniem i odejmowaniem zarówno liczb dodatnich, jak i ujemnych, oraz przewiduj, czy suma będzie dodatnia czy ujemna.","downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_pl.html","id":10895,"isCheerpj":false,"learningGoals":"Przedstawiaj dodawanie i odejmowanie liczb całkowitych na poziomej osi liczbowej<br/>Myśl o dodawaniu i odejmowaniu liczb całkowitych w kategoriach ich pozycji na osi liczbowej.<br/>Użyj konieczności logicznej, aby uzasadnić, że dodawanie ma skutek przeciwny do odejmowania lub że dodanie (lub odjęcie) ujemnej liczby całkowitej ma skutek przeciwny do dodania (lub odjęcia) dodatniej liczby całkowitej.<br/>Rozpoznaj i generuj klasy równoważności sum całkowitych i różnic<br/>Pokaż, że liczba i liczba do niej przeciwna mają sumę 0<br/>Używając kontekstu wartości całkowitej, opisz sytuacje, które mają dodatnią sumę lub różnicę, ujemną sumę lub różnicę oraz zerową sumę lub różnicę<br/>Postrzegaj dodawanie ujemnej liczby jako równoważne odejmowaniu dodatniej i wyjaśnij, dlaczego ta relacja ma sens w takich kontekstach jak wartość całkowita.<br/>Postrzegaj odejmowanie wartości ujemnej jako równoznaczne z dodawaniem wartości dodatniej i wyjaśnij, dlaczego ta zależność ma sens w kontekstach takich jak wartość całkowita.<br/>Zastosuj model osi liczbowej do dodawania i odejmowania w nowych kontekstach.","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_pl.html","simPageUrl":"/pl/simulations/number-line-operations","title":"Oś liczbowa: działania"},"ps":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_ps.html","id":14952,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_ps.html","simPageUrl":"/ps/simulations/number-line-operations","title":"د عددونو محور : عملیات"},"pt_BR":{"description":"Explore as operações com inteiros usando um contexto autêntico de patrimônio líquido e generalize com uma reta numérica. Experimente adicionar e subtrair positivos e negativos e fazer previsões sobre se o total será positivo ou negativo.","downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_pt_BR.html","id":10893,"isCheerpj":false,"learningGoals":"Representar adição e subtração de números inteiros em uma reta de numérica horizontal<br/>Raciocinar sobre adição e subtração de números inteiros em termos de localização de números<br/>Usar a necessidade lógica para raciocinar que a adição tem o efeito oposto da subtração ou que a adição (ou subtrair) um número inteiro negativo tem o efeito oposto ao de adicionar (ou subtrair) um número inteiro positivo.<br/>Reconhecer e gerar classes de equivalência de somas e diferenças inteiras<br/>Mostrar que um número e seu inverso aditivo (oposto) têm um soma de 0<br/>Usando um contexto de patrimônio líquido, descrever situações que têm uma soma ou diferença positiva, soma ou diferença negativa e soma ou diferença zero<br/>Visualizar a adição de um negativo como equivalente a subtrair um positivo e explicar por que essa relação faz sentido em contextos como patrimônio líquido.<br/>Ver a subtração de um negativo como equivalente a adicionar um positivo e explicar por que essa relação faz sentido em contextos como patrimônio líquido.<br/>Aplicar um modelo de reta numérica para adição e subtração em outros contextos.","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_pt_BR.html","simPageUrl":"/pt_BR/simulations/number-line-operations","title":"Reta Numérica: Operações"},"ro":{"description":"Explorați operațiile cu numere întregi folosind un context real de valoare netă, apoi generalizați folosind o axă a numerelor. Experimentați adunarea și scăderea atât a numerelor pozitive, cât și a celor negative și faceți predicții cu privire la ssemnul totalului.","downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_ro.html","id":11973,"isCheerpj":false,"learningGoals":"Să reprezinte adunarea și scăderea numerelor întregi pe o dreaptă numerică orizontală<br/>Să explice adunarea și scăderea numerelor întregi în termeni de poziții pe axa numerelor.<br/>Să utilizeze raționamentul logic pentru a argumenta faptul că adunarea are efectul opus al scăderii sau că adunarea (sau scăderea) unui număr întreg negativ are efectul opus al adunării (sau scăderii) unui număr întreg pozitiv.<br/>Să recunoască și să genereze clase de echivalență a sumelor și diferențelor de numere întregi.<br/>Să arate că un număr și inversul său aditiv (opus) au suma 0.<br/>Utilizând un context de de calcul al valorii nete, să descrie situații care au o sumă sau o diferență pozitivă, o sumă sau o diferență negativă și o sumă sau o diferență zero.<br/>Să considere că adunarea unui negativ este echivalentă cu scăderea unui pozitiv și să explice de ce această relație are sens în contexte precum cel al valorii totale nete.<br/>Să considere că scăderea unei sume negative este echivalentă cu adăugarea unei sume pozitive și să explice de ce această relație are sens în contexte precum valoarea netă.<br/>Să aplice un model al axei numerelor în contexte noi pentru adunare și scădere.","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_ro.html","simPageUrl":"/ro/simulations/number-line-operations","title":"Axa numerelor: Operații"},"rw":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_rw.html","id":12452,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_rw.html","simPageUrl":"/rw/simulations/number-line-operations","title":"Umurongo w'imibare:Ibimenyetso"},"sk":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_sk.html","id":11117,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_sk.html","simPageUrl":"/sk/simulations/number-line-operations","title":"Číselná os: Operácie"},"sl":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_sl.html","id":13980,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_sl.html","simPageUrl":"/sl/simulations/number-line-operations","title":"Številska premica: Operacije"},"sq":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_sq.html","id":13151,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_sq.html","simPageUrl":"/sq/simulations/number-line-operations","title":"Boshti Numerik: Veprimet"},"sr":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_sr.html","id":10915,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_sr.html","simPageUrl":"/sr/simulations/number-line-operations","title":"Бројевна права: Операције"},"st":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_st.html","id":13814,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_st.html","simPageUrl":"/st/simulations/number-line-operations","teachersGuide":"/teachers-guide/number-line-operations-html-guide_st.pdf","title":"mola oa nomora: t'sebetso"},"sv":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_sv.html","id":13264,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_sv.html","simPageUrl":"/sv/simulations/number-line-operations","title":"tallinje"},"sw":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_sw.html","id":12398,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_sw.html","simPageUrl":"/sw/simulations/number-line-operations","title":"Mstari wa Namba: Matendo"},"ta":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_ta.html","id":12944,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_ta.html","simPageUrl":"/ta/simulations/number-line-operations","title":"எண் கோடு : செயல்பாடுகள்"},"te":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_te.html","id":12332,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_te.html","simPageUrl":"/te/simulations/number-line-operations","title":"సంఖ్యా రేఖ: పరిక్రియలు"},"tk":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_tk.html","id":12802,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_tk.html","simPageUrl":"/tk/simulations/number-line-operations","title":"San çyzygy: Amallar"},"tr":{"description":"Gerçek bir net değer bağlamı kullanarak tamsayılarla işlemleri keşfedin, ardından bir sayı satırıyla genelleştirin. Hem pozitifleri hem de negatifleri toplama ve çıkarma ile deney yapın ve toplamın pozitif mi yoksa negatif mi olacağı konusunda tahminlerde bulunun.","downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_tr.html","id":11057,"isCheerpj":false,"learningGoals":"Yatay bir sayı doğrusunda tamsayıların toplama ve çıkarma işlemlerini gösterir.<br/>Tamsayıların sayı konumlarına göre toplama ve çıkarma işlemini açıklar.<br/>Toplamanın çıkarmayla zıt etkiye sahip olduğunu veya negatif bir tamsayıyı toplamanın (veya çıkarmanın) pozitif bir tamsayıyı toplamanın (veya çıkarmanın) tersi etkisi olduğunu akılda tutmak için mantıksal gerekliliği kullanır.<br/>Tamsayı toplamlarının ve farklarının denklik sınıflarını oluşturun ve keşfeder.<br/>Bir sayının ve toplama tersinin (zıt) toplamının 0 olduğunu gösterir.<br/>Bir net değer bağlamı kullanarak, pozitif toplam veya farka, negatif toplam veya farka ve sıfır toplam veya farka sahip durumları tanımlar.<br/>Negatif eklemeyi pozitif çıkartmaya eşdeğer olduğunu görür ve net değer gibi bağlamlarda bu ilişkinin neden anlamlı olduğunu açıklar.<br/>Negatifi çıkarmanın pozitifi toplamaya eşdeğer olduğunu görür ve net değer gibi bağlamlarda bu ilişkinin neden anlamlı olduğunu açıklar.<br/>Yeni bağlamlarda toplama ve çıkarma için bir sayı doğrusu modeli uygular.","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_tr.html","simPageUrl":"/tr/simulations/number-line-operations","title":"Sayı Doğrusu: İşlemler"},"tw":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_tw.html","id":13468,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_tw.html","simPageUrl":"/tw/simulations/number-line-operations","title":"namba lain: opireshin"},"uz":{"description":"Natijaviy qiymatning haqiqiy kontekstidan foydalanib, butun sonlar bilan amallar bajarishni o‘rganing, so‘ngra son o‘qi bilan umumlashtiring. Musbat va manfiy sonlarni qo‘shish va ayirish bilan tajriba o‘tkazing va umumiy qiymat musbat yoki manfiy bo‘lishini taxmin qilib ko‘ring.","downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_uz.html","id":11915,"isCheerpj":false,"learningGoals":"Gorizontal sonlar o‘qida butun sonlarni qo‘shish va ayirish amallarini ifodalang<br/>Raqamlar joylashuvi bo‘yicha butun sonlarni qo‘shish va ayirish yo‘lini toping<br/><br/>Qo‘shish, ayirish yoki manfiy butun sonni qo‘shish (yoki ayirish) musbat butun sonni qo‘shish (yoki ayirish) kabi teskari taʼsirga ega ekanligini tushunish uchun mantiqiy zaruratdan foydalaning.<br/>Butun sonlar yig‘indilari va ayirmalarining ekvivalentlik sinflarini aniqlang va yarating<br/>Raqam va uning teskari qiymati (qarama-qarshi) yig‘indisi 0 ekanligini ko‘rsating<br/>Natijaviy qiymat kontekstidan foydalanib, musbat yig‘indi yoki ayirma, manfiy yig‘indi yoki ayirma va nol qiymatli yig‘indi yoki ayirmaga ega bo‘lgan vaziyatlarni tasvirlab bering<br/>Manfiy sonni qo‘shishni musbat sonni ayirish bilan teng deb ko‘ring va bu munosabat natijaviy qiymat kabi kontekstlarda nima uchun o‘rinli ekanligini tushuntiring.<br/>Manfiy sonni ayirishni musbat sonni qo‘shishga teng deb ko‘ring va bu munosabat natijaviy qiymat kabi kontekstlarda nima uchun o‘rinli ekanligini tushuntiring.<br/>Yangi kontekstlarga qo‘shish va ayirish uchun sonlar o‘qi modelini qo‘llang.","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_uz.html","simPageUrl":"/uz/simulations/number-line-operations","title":"Raqam qatori: Amallar"},"vi":{"description":"Explore operations with integers using an authentic context of net worth, then generalize with a number line. Experiment with adding and subtracting both positives and negatives, and make predictions about whether the total will be positive or negative.","downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_vi.html","id":10913,"isCheerpj":false,"learningGoals":"Represent addition and subtraction of integers on a horizontal number line<br/>Reason about addition and subtraction of integers in terms of number-locations<br/>Use logical necessity to reason that addition has the opposite effect as subtraction or that adding (or subtracting) a negative integer has the opposite effect as adding (or subtracting) a positive integer.<br/>Recognize and generate equivalence classes of integer sums and differences<br/>Show that a number and its additive inverse (opposite) have a sum of 0<br/>Using a net worth context, describe situations that have a positive sum or difference, negative sum or difference, and zero sum or difference<br/>View adding a negative as equivalent to subtracting a positive, and explain why this relationship makes sense in contexts such as net worth.<br/>View subtracting a negative as equivalent to adding a positive, and explain why this relationship makes sense in contexts such as net worth.<br/>Apply a number line model for addition and subtraction to new contexts.","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_vi.html","simPageUrl":"/vi/simulations/number-line-operations","title":"Đường thẳng số: Các phép toán"},"yo":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_yo.html","id":11452,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_yo.html","simPageUrl":"/yo/simulations/number-line-operations","title":"Nọmba Laini: Imú ṣiṣẹ́"},"zh_CN":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_zh_CN.html","id":13351,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_zh_CN.html","simPageUrl":"/zh_CN/simulations/number-line-operations","title":"数轴：运算"},"zh_HK":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_zh_HK.html","id":12900,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_zh_HK.html","simPageUrl":"/zh_HK/simulations/number-line-operations","title":"數線:運算"},"zh_TW":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_zh_TW.html","id":11062,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_zh_TW.html","simPageUrl":"/zh_TW/simulations/number-line-operations","title":"Number Line: Operations_數線：數線的運算"},"zu":{"downloadUrl":"/sims/html/number-line-operations/latest/number-line-operations_zu.html","id":14847,"isCheerpj":false,"learningGoals":"","runUrl":"/sims/html/number-line-operations/latest/number-line-operations_zu.html","simPageUrl":"/zu/simulations/number-line-operations","title":"umugqa wenombolo: imisebenzi"}},"lowGradeLevel":1,"lreTerms":[],"name":"number-line-operations","phetStudioPublicationTime":"","phetioVersion":"","prototypeTime":0,"relatedSimulations":[201,214,236,243],"scienceLiteracyMapKeys":[],"secondaryAlignmentIds":[],"subjects":[15,30],"thanksTo":"","topicIds":[449,595,622],"updateTime":1782296000603}],"type":2,"version":{"dev":10,"major":1,"minor":1,"string":"1.1.10","timestamp":0}}]}}
