Arithmetic

Arithmetic Screenshot
  • 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 1.0.24

Teacher Tips

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

Teacher-Submitted Activities

Games Remote Lesson ideas A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Trish Loeblein K-5
MS
UG-Intro
HS
HW
Remote
Mathematics
Physics
Chemistry
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
K-5
MS
Remote
Lab
HW
Mathematics
Arithmetic (Multiply) A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Philippe Guegan MS Guided Mathematics
How do PhET simulations fit in my middle school program? This contribution was designed by PhET. Sarah Borenstein MS Other Biology
Earth Science
Physics
Chemistry
MS and HS TEK to Sim Alignment Elyse Zimmer MS
HS
Other Physics
Biology
Chemistry
How are products and factors related? Seda Serpin K-5 Lab
Guided
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-Adv
HS
Grad
UG-Intro
MS
Discuss
HW
Astronomy
Chemistry
Mathematics
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 MS
HS
HW
Guided
Mathematics
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) This contribution was designed by PhET. Diana López MS
HS
Other Biology
Physics
Mathematics
Chemistry
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) This contribution was designed by PhET. Diana López UG-Intro
HS
Other Physics
Chemistry
Mathematics
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) This contribution was designed by PhET. Diana López K-5
MS
HW
Lab
Discuss
Demo
Guided
Mathematics
Physics
Astronomy
Chemistry
Fixação da técnica de assertividade Francisco Aislan da Silva Freitas, Gilvandenys Leite Sales K-5 Lab Mathematics
Atividade de Aritmética Ramon Albuquerque HS
MS
Guided
HW
Lab
Mathematics

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

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

iPad:
iOS 12+ 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, 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