Υπολογισμός εμβαδού - Πολλαπλασιασμός

Υπολογισμός εμβαδού - Πολλαπλασιασμός Στιγμιότυπο οθόνης  Λήψη  Ενσωμάτωση
  • Partial Products
  • Factors
  • Πολλαπλασιασμός

Περιεχόμενο

  • Partial Products
  • Factors
  • Πολλαπλασιασμός
  • Area Model

Description

Build rectangles of various sizes and relate multiplication to area. Discover new strategies for multiplying large numbers. Use the game screen to test your problem solving strategies!

Δείγμα μαθησιακών στόχων

  • Recognize that area represents the product of two numbers and is additive.
  • Represent a multiplication problem as the area of a rectangle, proportionally or using generic area.
  • Develop and justify a strategy to determine the product of two multi-digit numbers by representing the product as an area or the sum of areas.

Standards Alignment

Common Core - Math

3.MD.C.7
Relate area to the operations of multiplication and addition.
3.MD.C.7c
Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a × b and a × c. Use area models to represent the distributive property in mathematical reasoning.
3.MD.C.7d
Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems.
4.NBT.B.5
Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
6.EE.A.3
Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.
6.EE.A.4
Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for..
6.NS.B.4
Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2)..
7.EE.A.1
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
7.NS.A.2c
Apply properties of operations as strategies to multiply and divide rational numbers.
Version 1.2.1

Teacher Tips

Το εγχειρίδιο του εκπαιδευτικού (pdf) περιέχει υποδείξεις που υποβλήθηκαν από την ομάδα του PhET. ( PDF ).

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Teacher-Submitted Activities

Middle School Math Sim Alignment Αυτή η συνεισφορά σχεδιάστηκε από το PhET. Amanda McGarry ΓΜ Άλλο Μαθηματικά
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Αυτή η συνεισφορά σχεδιάστηκε από το PhET. Diana López ΓΜ
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PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Αυτή η συνεισφορά σχεδιάστηκε από το PhET. Diana López ΠΡ-Αρχ
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PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Αυτή η συνεισφορά σχεδιάστηκε από το PhET. Diana López Κ-5
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Γλώσσα Download or Run Tips
Αγγλικά All English Download Run now Area Model Multiplication
Αλβανικά All shqip Download Run now Modeli i Syprinës: Shumëzimi
Αραβικά All العربية Download Run now ضرب مساحة نموذج
Βασκικα All Euskara Download Run now Azalera-modeloan biderkaketa
Βιετναμέζικα All Tiếng Việt Download Run now Phép nhân với mô hình diện tích
Βοσνιακά All Bosanski Download Run now Matematički model površina - Množenje
Γαλλικά All français Download Run now Modélisation de la multiplication par les aires
Γερμανικά All Deutsch Download Run now Flächenmodell Multiplikation
Γκουτζαράτι All Gujarati Download Run now ક્ષેત્રફળનું ગુણાકારનું મોડેલ - નિકુંજ સવાણી દ્વારા
Δανικά All Dansk Download Run now Arealmodel, gange
Ιαπωνικά All 日本語 Download Run now 面積を求める
Ισπανικά All español Download Run now Modelo de Áreas: Multiplicación
Ισπανικά (Μεξικό) All español (México) Download Run now Modelo de Áreas: Multiplicación 
Ισπανικά (Περού) All español (Perú) Download Run now Modelo de Área con multiplicación
Ιταλικά All italiano Download Run now Rappresentazione grafica della moltiplicazione
Καζάχικα All Kazakh Download Run now Көбейту жолымен ауданын есептеу
Κινέζικα - Απλά All 中文 (中国) Download Run now 面积模型乘法
Κινέζικα - Παραδοσιακά All 中文 (台灣) Download Run now Area Model Multiplication_面積模型與乘法
Κορεάτικα All 한국어 Download Run now 면적 모형: 곱셈
Λετονικά All Latviešu Download Run now Lauka modeļa reizinājums
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Ολλανδικά All Nederlands Download Run now Oppervlakte model vermenigvuldiging
Ουγγρικά All magyar Download Run now Területmodell: szorzás
Ουκρανικά All українська Download Run now Площинна модель множення
Περσικά All فارسی Download Run now ضرب مدل مساحت
Πολωνικά All polski Download Run now Model pola - mnożenie
Πορτογαλικά All português Download Run now Modelo de Área: Multiplicação
Πορτογαλικά Βραζιλίας All português (Brasil) Download Run now Modelo de Área: Multiplicação
Ρωσικά All русский Download Run now Вычисление площади путем умножения
Σέρβικα All Српски Download Run now Математика преко површина-Множење
Σινχαλέζικα All Sinhalese Download Run now වර්ගඵල ආකෘති ගුණ කිරීම
Σουηδικά All svenska Download Run now Areamodellen - Multiplikation
Τουρκικά All Türkçe Download Run now Alan Modelinde Çarpma İşlemi
Φινλανδικά All suomi Download Run now Pinta-alamallilla kertominen
Χίντι All हिंदी Download Run now नमूने का क्षेत्रफल - गुणन 

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Ομάδα σχεδίασης Βιβλιοθήκες τρίτων Ευχαριστίες στους
  • Amy Hanson (lead designer)
  • Amanda McGarry (co-lead)
  • Jonathan Olson (developer)
  • Karina Hensberry
  • Susan Miller
  • Ariel Paul
  • Kathy Perkins
  • Mariah Hermsmeyer (artwork)
  • Diana López Tavares (artwork)
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