# Expression Exchange

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بۆ به‌ڕێوه‌ بردن کلیک بکه‌
Use this HTML code to display a screenshot with the words "Click to Run". Equivalent Expressions Evaluating Expressions Simplifying Expressions PhET پشتیوانی ئه بێ له لایه ن و فێرکارانێ وه ک ئێوه.

### ناوه‌ڕۆک

• Equivalent Expressions
• Evaluating Expressions
• Simplifying Expressions

### Description

Build coin expressions, then exchange them for variable expressions. Simplify and evaluate expressions until you are ready to test your understanding of equivalent expressions in the game!

### Sample Learning Goals

• Simplify expressions by combining like-terms
• Contextualize coefficients and like/unlike-terms
• Interpret an expression in both abstract and concrete representations
• Build an expression that is equivalent to a target

### 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.
5.OA.A.1
Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
6.EE.A.2
Write, read, and evaluate expressions in which letters stand for numbers.
6.EE.A.2b
Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity. For example, describe the expression 2 (8 + 7) as a product of two factors; view (8 + 7) as both a single entity and a sum of two terms.
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..
Version 1.1.14

### Teacher Tips

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

### Teacher-Submitted Activities

Games Remote Lesson ideas Trish Loeblein MS
K-5
UG-Intro
HS
Remote
HW
فیزیا
بیرکاری
کیمیا
Adding and Subtracting Expressions Amanda McGarry MS Guided بیرکاری
Algebraic Expressions Amanda McGarry MS Guided بیرکاری
Generating Equivalent Expressions Amanda McGarry MS Guided بیرکاری
Generando Expresiones Equivalentes Amanda McGarry (Traducción Mayra Tavares) MS Guided بیرکاری
Sumando y Restando Expresiones Amanda McGarry (Traducción Mayra Tavares) MS Guided بیرکاری
Comparando expresiones equivalentes Pam Branner, traducción de Diana López MS
HS
Guided بیرکاری
Equivalent Expression Exploration Kimberly Struck MS Guided بیرکاری
Like Terms and How to Combine Them Julie Carres MS Guided بیرکاری
Comparing Equivalent Expressions Pam Brenner HS
MS
Guided بیرکاری
Expresiones Algebraicas Amanda McGarry (Traducción por Mayra Tavares) MS Guided بیرکاری
Middle School Math Sim Alignment Amanda McGarry MS دیکه‌ بیرکاری
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López HS
MS
دیکه‌ کیمیا
ژیناسی
بیرکاری
فیزیا
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López UG-Intro
HS
دیکه‌ کیمیا
فیزیا
بیرکاری
Adierazpen baliokideak alderatzea José Manuel López Irastorza HS Guided بیرکاری
Variables and Coefficients Lisa Nitzsche K-5
MS
Guided
Discuss
بیرکاری
Adding Negations Julie Carres MS Guided بیرکاری
Modelo de Áreas, Cambio de Expresiones Andrés Gualberto Palomo Cuevas HS HW
Remote
بیرکاری
Continuación de Cambio de Expresiones Andrés Gualberto Palomo Cuevas HS HW
دیکه‌
بیرکاری
Cambio de Expresiones Andrés Gualberto Palomo Cuevas HS Remote
HW
بیرکاری
Albanian All shqip Shkëmbimi i shprehjes
Arabic All العربية استبدال العبارات الجبرية
Basque All Euskara Adierazpen-aldaketa
Bosnian All Bosanski Novčići (Algebarski izrazi)
Brazilian Portuguese All português (Brasil) Expressões
Chinese - Simplified All 中文 (中国) 表达式变换
Chinese - Traditional All 中文 (台灣) Expression Exchange_代數的表示法
Croatian All hrvatski Algebarski izrazi
Danish All Dansk Ændring af udtryk
Dutch All Nederlands Uitdrukkingen omwisselen
Finnish All suomi Lausekkeen vaihto
French All français Échange d'expression
German All Deutsch Terme Komponieren
Greek All Ελληνικά Αριθμητικές παραστάσεις
Haitian All Haitian Echanj ekspresyon
Hebrew All עברית שיוויון ביטויים מתמטיים
Hungarian All magyar Jelcserés számadás
Italian All italiano Espressioni
Japanese All 日本語 代数式を作ろう
Kazakh All Kazakh Рационал өрнектер
Korean All 한국어 식 교환
Latvian All Latviešu Izteiksmes
Malay All Bahasa Melayu Penukaran Ungkapan
Maori All Maori Whakawhitiwhiti Whārite
Marathi All मराठी पदावली शोध
Mongolian All Монгол (Монгол) Шуурхай Өөрчлөх
Norwegian Bokmal All Norsk bokmål Veksle utttrykk
Polish All polski Wyrażenia algebraiczne
Russian All русский Рациональные выражения
Serbian All Српски Новчићи (Алгебарски изрази)
Slovak All Slovenčina Výrazy s premennou
Spanish All español Cambio de Expresiones
Spanish (Mexico) All español (México) Cambio de Expresiones
Spanish (Peru) All español (Perú) Cambio de Expresión
Swedish All svenska Arbeta med Uttryck
Turkish All Türkçe İfade Değişimi
Ukrainian All українська Перетвори вираз
Uzbek All Uzbek Ifodalarni almashtirish
Vietnamese All Tiếng Việt Biểu thức
فارسی All فارسی جابجایی عبارت ریاضی

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Design Team Third-party Libraries سوپاس بۆ
• Amanda McGarry (lead designer)
• John Blanco (developer)
• David Webb
• Kathy Perkins
• Ariel Paul
• almond-0.2.9.js
• base64-js-1.2.0.js
• easing-equations-r12
• FileSaver-b8054a2.js
• font-awesome-4.5.0
• game-up-camera-1.0.0.js
• himalaya-0.2.7.js
• jama-1.0.2
• jquery-2.1.0.js
• lodash-4.17.4.js
• pegjs-0.7.0.js
• seedrandom-2.4.2.js
• text-2.0.12.js
• TextEncoderLite-3c9f6f0.js
• Tween-r12.js