# Aritmetika

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Klikni pro spuštění
Použijte tento HTML kód k zobrazení náhledu simulace se slovy "Klikni pro spuštění". Multiplication Dělení Factoring PhET je podporován: a učiteli jako vy.
 Original Sim and Translations

### Obsah

• Multiplication
• Dělení
• Factoring

### Description

Remember your multiplication tables? Practice your multiplication, division, and factoring skills with this exciting game. No calculators allowed!

• Explain how multiplication tables help understand multiplication, factoring, and division.
• Use an array model to understand multiplication, factoring, and division.
• Increase accuracy in multiplying, factoring and dividing.
• Develop multiple strategies for arithmetic problems.

### Standards Alignment

#### Common Core - Math

3.OA.A.1
Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 × 7.
3.OA.A.2
Interpret whole-number quotients of whole numbers, e.g., interpret 56 ÷ 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. For example, describe a context in which a number of shares or a number of groups can be expressed as 56 ÷ 8.
3.OA.A.4
Determine the unknown whole number in a multiplication or division equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 × ? = 48, 5 = _ ÷ 3, 6 × 6 = ?
3.OA.B.5
Apply properties of operations as strategies to multiply and divide.2 Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)
3.OA.B.6
Understand division as an unknown-factor problem. For example, find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8.
3.OA.C.7
Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.
3.OA.D.9
Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends.
Version 1.0.24

### Teacher Tips

 Učitelská příručka (pdf) obsahuje tipy poskytnuté od členů týmu PhET. ( PDF ).

### Teacher-Submitted Activities

Games Remote Lesson ideas Trish Loeblein K-5
ZŠ II.st.

UG-začínající

Remote
Fyzika
Chemie
Matematika
Arithmetic Games (Inquiry Based) Trish Loeblein K-5

ZŠ II.st.

Remote
Lab
Matematika
Juego de Aritmética (Basado en Indagación) Trish Loeblein, traducido por Diana López
ZŠ II.st.
Guided
Matematika
Arithmetic (Multiply) Philippe Guegan ZŠ II.st. Guided Matematika
How do PhET simulations fit in my middle school program? Sarah Borenstein ZŠ II.st. Ostatní Biologie
Věda o Zemi
Chemie
Fyzika
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López
ZŠ II.st.
Ostatní Fyzika
Biologie
Chemie
Matematika
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López UG-začínající
Ostatní Matematika
Chemie
Fyzika
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López K-5
ZŠ II.st.
Lab
Discuss
Guided
Demo
Astronomie
Fyzika
Matematika
Chemie
Preguntas de razonamiento para todas las simulaciones HTML5 Diana López ZŠ II.st.
UG-začínající
UG-Pokr
K-5

Abs
Discuss
Chemie
Matematika
Astronomie
Fyzika
MS and HS TEK to Sim Alignment Elyse Zimmer
ZŠ II.st.
Ostatní Fyzika
Chemie
Biologie
How are products and factors related? Seda Serpin K-5 Guided
Lab
Matematika
Math facts - Using the Multiplication Chart Tapan Sarkar ZŠ II.st. Lab Matematika
Discovering divisibility rules Stacy Larson
ZŠ II.st.
Lab Matematika
Fixação da técnica de assertividade Francisco Aislan da Silva Freitas, Gilvandenys Leite Sales K-5 Lab Matematika
Atividade de Aritmética Ramon Albuquerque ZŠ II.st.
Lab

Guided
Matematika
Albanian All shqip Aritmetikë
Arabic All العربية علم الحساب
Basque All Euskara Aritmetika
Belarusian All беларускі Арыфметыка
Bosnian All Bosanski Aritmetika
Croatian All hrvatski Aritmetika
Danish All Dansk Aritmetik
Dutch All Nederlands Rekenen
English All English Arithmetic
Finnish All suomi Aritmetiikka
French All français Arithmétique
German All Deutsch Arithmetik - Zahlenkunst
Greek All Ελληνικά Αριθμητική
Gujarati All Gujarati અંકગણિત
Hebrew All עברית חשבון
Hindi All हिंदी अंकगणित
Hungarian All magyar Számtan
Chinese (China) All 中文 (中国) 四则运算
Chinese (Taiwan) All 中文 (台灣) Arithmetic_算數
Irish All Gaeilge Uimhríocht
Italian All italiano Aritmetica
Japanese All 日本語 算数の計算
Kazakh All Kazakh Көбейту кестесі
Korean All 한국어 산수
Latvian All Latviešu Aritmētika
Maori All Maori Meka Matua
Marathi All मराठी अंकगणित
Mongolian All Монгол (Монгол) Арифметик
Norwegian Nynorsk All Norwegian Nynorsk Talforståing og talrekning
Persian All فارسی علم حساب
Polish All polski Arytmetyka
Portuguese All português Aritmética
Portuguese (Brazil) All português (Brasil) Aritmética
Russian All русский Таблица умножения
Serbian All Српски Аритметика
Sinhalese All Sinhalese අංක ගණිතය
Slovak All Slovenčina Aritmetika
Slovenian All Slovenščina Množenje in deljenje
Spanish All español Aritmética
Spanish (Mexico) All español (México) Aritmética
Spanish (Peru) All español (Perú) Aritmética
Swahili All Swahili Hesabu
Swedish All svenska Aritmetik
Tamil All Tamil எண்கணித
Tibetan All Tibetan ཨང་རྩིས་ཀྱི་རྣམ་གཞག
Turkish All Türkçe Aritmetik
Ukrainian All українська Арифметика
Urdu All Urdu حساب
Vietnamese All Tiếng Việt Số học

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Autoři Pomocné knihovny Poděkování
• John Blanco (developer)
• Bryce Gruneich
• Karina K.R. Hensberry
• Trish Loeblein
• Ariel Paul
• Kathy Perkins