# Arithmetic_算數

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 原始模擬教學與翻譯

### 標題

• Multiplication
• Division
• Factoring

HTML5 版本之翻譯：

### 學習目標

• ●用乘法表幫助了解乘法、除法和商
• ●增加乘法、除法和商的準確度
• ●發展計算能力

### 標準對齊

#### 共用核心 - 數學

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.

### 教學提示

 模擬教學的控制概觀、模型簡化與引導學生思考 ( PDF ).

### 老師提供的活動

Preguntas de razonamiento para todas las simulaciones HTML5 Diana López 研究所

K-5

Juego de Aritmética (Basado en Indagación) Trish Loeblein, traducido por Diana López 高中

Games Remote Lesson ideas Trish Loeblein 高中
K-5

Remote

Arithmetic Games (Inquiry Based) Trish Loeblein 高中
K-5

Remote

Arithmetic (Multiply) Philippe Guegan 國中 指引 數學
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López 高中

PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López 大學-簡介

PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López K-5

How do PhET simulations fit in my middle school program? Sarah Borenstein 國中 其它 生物

MS and HS TEK to Sim Alignment Elyse Zimmer 國中

How are products and factors related? Seda Serpin K-5 指引

Math facts - Using the Multiplication Chart Tapan Sarkar 國中 實驗室 數學
Discovering divisibility rules Stacy Larson 高中

Fixação da técnica de assertividade Francisco Aislan da Silva Freitas, Gilvandenys Leite Sales K-5 實驗室 數學
Atividade de Aritmética Ramon Albuquerque 國中

Norwegian Nynorsk 全部 Norwegian Nynorsk Talforståing og talrekning
Serbian 全部 Српски Аритметика
Sinhalese 全部 Sinhalese අංක ගණිතය
Swahili 全部 Swahili Hesabu
Tamil 全部 Tamil எண்கணித

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

iOS 12+ Safari

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

Chromebook:
The HTML5 and Flash PhET sims are supported on all Chromebooks.
Chromebook compatible sims

Windows Systems:

Macintosh Systems:

Linux Systems:

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