Arithmetic

Arithmetic Screenshot  Download  Embed
  • Multiplication
  • Division
  • Factoring
Flash Logo Original Sim and Translations

Topics

  • Multiplication
  • Division
  • Factoring

Description

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

Sample Learning Goals

  • 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 1.0.21

Teacher Tips

Download teacher tips PDF Overview of sim controls, model simplifications, and insights into student thinking ( PDF ).

Video Primer

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Teacher-Submitted Activities

Arithmetic Games (Inquiry Based) A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Trish Loeblein HS Lab Mathematics
Arithmetic (Multiply) A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Philippe Guegan MS Guided Mathematics
Alignment of PhET sims with NGSS This contribution was designed by PhET. Trish Loeblein HS Other Chemistry
Physics
Biology
Earth Science
How do PhET simulations fit in my middle school program? This contribution was designed by PhET. Sarah Borenstein MS Other Chemistry
Earth Science
Biology
Physics
MS and HS TEK to Sim Alignment Elyse Zimmer HS
MS
Other Physics
Biology
Chemistry
How are products and factors related? Seda Serpin K-5 Guided
Lab
Mathematics
Math facts - Using the Multiplication Chart Tapan Sarkar MS Lab Mathematics
Discovering divisibility rules Stacy Larson MS
HS
Lab Mathematics
Preguntas de razonamiento para todas las simulaciones HTML5 A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Diana López K-5
UG-Intro
HS
UG-Adv
Grad
MS
Discuss
HW
Mathematics
Astronomy
Chemistry
Physics
Juego de Aritmética (Basado en Indagación) A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Trish Loeblein, traducido por Diana López HS
MS
Guided
HW
Mathematics
Fixação da técnica de assertividade Francisco Aislan da Silva Freitas, Gilvandenys Leite Sales K-5 Lab Mathematics
Atividade de Aritmética Ramon Albuquerque MS
HS
HW
Guided
Lab
Mathematics

Language Download or Run Tips
Arabic All العربية Download Run now علم الحساب
Basque All Basque Download Run now Aritmetika
Belarusian All беларускі Download Run now Арыфметыка
Bosnian All Bosanski Download Run now Aritmetika
Chinese (Simplified) All 中文 (中国) Download Run now 四则运算
Chinese (Traditional) All 中文 (台灣) Download Run now Arithmetic_算數
Czech All čeština Download Run now Aritmetika
Danish All Dansk Download Run now Aritmetik
Dutch All Nederlands Download Run now Rekenen
Finnish All suomi Download Run now Aritmetiikka
French All français Download Run now Arithmétique
German All Deutsch Download Run now Arithmetik - Zahlenkunst
Greek All Ελληνικά Download Run now Αριθμητική
Gujarati All Gujarati Download Run now અંકગણિત, ભાગાકાર ,ગુણાકાર -નિકુંજ સવાણી દ્વારા
Hebrew All עברית Download Run now חשבון
Hindi All हिंदी Download Run now अंकगणित
Hungarian All magyar Download Run now Számtan
Irish All Gaeilge Download Run now Uimhríocht
Italian All italiano Download Run now Aritmetica
Japanese All 日本語 Download Run now 算数の計算
Kannada All Kannada Download Run now ಅಂಕಗಣಿತ
Kazakh All Kazakh Download Run now Көбейту кестесі
Korean All 한국어 Download Run now 산수
Latvian All Latviešu Download Run now Aritmētika
Maori All Maori Download Run now Meka Matua
Mongolian All Монгол (Монгол) Download Run now Арифметик
Persian All فارسی Download Run now علم حساب
Polish All polski Download Run now Arytmetyka
Portuguese All português Download Run now Aritmética
Portuguese (Brazil) All português (Brasil) Download Run now Aritmética
Russian All русский Download Run now Таблица умножения
Serbian All Српски Download Run now Аритметика
Sinhalese All Sinhalese Download Run now අංක ගණිතය
Slovak All Slovenčina Download Run now Aritmetika
Slovenian All Slovenščina Download Run now Množenje in deljenje
Spanish All español Download Run now Aritmética Download teacher tips PDF
Spanish (Mexico) All español (México) Download Run now Aritmética Download teacher tips PDF
Spanish (Peru) All español (Perú) Download Run now Aritmética
Swahili All Swahili Download Run now Hesabu
Swedish All svenska Download Run now Aritmetik
Tamil All Tamil Download Run now எண்கணித
Tibetan All Tibetan Download Run now ཨང་རྩིས་ཀྱི་རྣམ་གཞག
Turkish All Türkçe Download Run now Aritmetik
Ukrainian All українська Download Run now Арифметика
Vietnamese All Tiếng Việt Download Run now Số học

The new HTML5 sims can run on iPads and Chromebooks, as well as PC, Mac, and Linux systems.

iPad:
iOS 11+ Safari
iPad compatible sims

Android:
Not officially supported. If you are using the HTML5 sims on Android, we recommend using the latest version of Google Chrome.

Chromebook:
Latest version of Google Chrome
The HTML5 and Flash PhET sims are supported on all Chromebooks.
Chromebook compatible sims

Windows Systems:
Microsoft Edge and Internet Explorer 11, latest version of Firefox, latest version of Google Chrome.

Macintosh Systems:
macOS 10.9.5+, Safari 9+, latest version of Chrome.

Linux Systems:
Not officially supported. Please contact phethelp@colorado.edu with troubleshooting issues.

Design Team Third-party Libraries Thanks To
  • Amanda McGarry (lead)
  • Michael Dubson (co-lead)
  • John Blanco (developer)
  • Bryce Gruneich
  • Karina K.R. Hensberry
  • Trish Loeblein
  • Ariel Paul
  • Kathy Perkins
  • Beth Stade
  • almond-0.2.9.js
  • easing-equations-r12
  • FileSaver-b8054a2.js
  • fontawesome-webfont-3.0.2.svg
  • jama-1.0.2
  • jquery-2.1.0.js
  • lodash-2.4.1.js
  • pegjs-0.7.0.js
  • text-2.0.12.js
  • Tween-r12.js
  • Mobile Learner Labs