Properties of Operations

My Notes Level 1 Support Level 2 Standard Level 3 Enrichment

Today's objectives

Content Objective: I can use the commutative, associative, and identity properties to rewrite expressions.

Language Objective: I can explain my reasoning using the words commutative property, associative property, and identity property.

📖 See Learn It for the explanation and worked examples, and the Vocab tab for the words. These are your notes to fill in and keep.

✏️ Fill in each blank as we go. Use the Word Bank to help you.

📚 Word Bank — fill each blank with the best word

👆 Tap any word to see what it means and a picture.

Level 3: try the blanks from memory first, then check the bank.

1The rule that order does not change a sum or product, like a + b = b + a, is the .
2The rule that grouping does not change a sum or product, like (a + b) + c = a + (b + c), is the .
3The rule that adding 0 or multiplying by 1 keeps a number the same is the .
4A rule that is always true in math is a .
5The rule that lets you multiply a number across a sum, like a(b + c) = a × b + a × c, is the .

Write About the Math Guided ESOL writing

Use the support level you need. Every level answers the same math question.

1. Understand the Question

explain

How can you tell the commutative property from the associative property? Use 6 + 9 = 9 + 6 and (3 + 5) + 2 = 3 + (5 + 2) to explain?

Your job: Answer the question. Use math evidence. Explain how the evidence proves your answer.Responde la pregunta. Usa evidencia matemática. Explica cómo la evidencia demuestra tu respuesta.

2. Plan Your Math Words

Check at least two words you will use.

Commutative Property — You can change the order and get the same answer.Propiedad conmutativa — Puedes cambiar el orden y obtener la misma respuesta. Associative Property — You can change the grouping and get the same answer.Propiedad asociativa — Puedes cambiar la agrupación y obtener la misma respuesta. Identity Property — Adding 0 or multiplying by 1 keeps the same value.Propiedad de identidad — Sumar 0 o multiplicar por 1 mantiene el mismo valor. Property — A rule that is always true in math.Propiedad — Una regla que siempre es verdadera en matemáticas. Distributive Property — You can multiply a number by each part inside the parentheses, then add.Propiedad distributiva — Puedes multiplicar un número por cada parte dentro del paréntesis y luego sumar.

Say it first: Say your idea to a partner or quietly to yourself before you write.Di tu idea a un compañero o en voz baja antes de escribir.

The ___ property changes the order, like 6 + 9 = 9 + 6.La propiedad ___ cambia el orden, como 6 + 9 = 9 + 6.

3. Build Your Explanation

Model the parts: This model shows the parts of an explanation. It does not answer your writing question.

Claim: The commutative property lets you change the order of a sum without changing the total.

Evidence: Students name the commutative property and explain that 3 + 5 + 2 gives 10 in any order because reordering addends does not change the sum.

Reasoning: This evidence connects the definition of commutative property to the mathematical claim.

Start

Most language support

Complete the frames. Use the word bank.Completa las oraciones. Usa el banco de palabras.

The ___ property changes the order, like 6 + 9 = 9 + 6.La propiedad ___ cambia el orden, como 6 + 9 = 9 + 6.
The ___ property changes the grouping because ___.La propiedad ___ cambia la agrupación porque ___.

Build

Some language support

Write two connected sentences. Use because, so, or but.Escribe dos oraciones conectadas. Usa porque, entonces o pero.

My claim is ___.Mi afirmación es ___.
I know because ___.Lo sé porque ___.
So ___.Entonces ___.

Explain

Light language support

Write a claim, give math evidence, and explain your reasoning.Escribe una afirmación, da evidencia matemática y explica tu razonamiento.

My claim is ___.Mi afirmación es ___.
My math evidence is ___.Mi evidencia matemática es ___.
This proves ___ because ___.Esto demuestra ___ porque ___.

4. Check Your Explanation

I answered the question.Respondí la pregunta. I used math evidence: numbers, an equation, a model, or a comparison.Usé evidencia matemática: números, una ecuación, un modelo o una comparación. I explained how the evidence proves my answer.Expliqué cómo la evidencia demuestra mi respuesta. I used at least two math words.Usé por lo menos dos palabras matemáticas. I reread complete sentences and punctuation.Volví a leer mis oraciones completas y la puntuación.