Multiplying a number by everything inside the parentheses: a(b + c) = ab + ac.
Example: 3(x + 4) = 3x + 12
The Distributive Property
I can use the distributive property to expand and factor expressions.
Speaking and writing goal: I can explain my steps using the words distributive property, factor, expand, and equivalent.
What Your Child Is Learning
In this lesson, students practice how to use the distributive property to expand and factor expressions. They learn to show their thinking with numbers, pictures, words, or a model. The goal is not just getting an answer. Students should be able to explain why the answer makes sense.
Why This Matters
Expressions and equations help students describe patterns and missing numbers. This matters for planning, budgeting, games, coding, and solving everyday questions step by step.
What It May Look Like In Class
Your child may use the interactive lesson, guided notes, examples from the board, partner talk, and short practice problems. They may be asked to solve, draw a model, label important numbers, and explain their reasoning in a sentence.
How You Can Help At Home
You do not need to teach a new method. Ask your child to read the problem out loud, circle the important numbers, and explain what they tried first. Helpful questions include: What do you know? What are you trying to find? Does your answer make sense?
Apoyo para familias en español
Qué está aprendiendo su hijo/a
En esta lección, su hijo/a practica usar letras, números y reglas para resolver problemas. Puede usar dibujos, números, palabras o modelos para mostrar su pensamiento. Lo más importante es que pueda explicar por qué su respuesta tiene sentido.
Por qué es importante
Las expresiones y ecuaciones ayudan a describir patrones y números desconocidos. Son útiles para planear, presupuestar y resolver problemas paso a paso.
Cómo puede ayudar en casa
No necesita ser experto/a en matemáticas. Pídale a su hijo/a que lea el problema en voz alta, marque los números importantes y explique su primer paso. Puede preguntar: ¿Qué sabes? ¿Qué necesitas encontrar? ¿Tu respuesta tiene sentido?
Key Vocabulary
A factor of a whole number divides it evenly, with no remainder. For example, 3 is a factor of 12 because 12 ÷ 3 = 4.
To multiply out the parentheses in an expression.
Expressions that always have the same value.
The number in front of a letter, like the 3 in 3x.
Terms with the same letter raised to the same power, like 2x and 5x.
Try It Together
Pick one or two problems. Let your child explain the first step before opening the answer.
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Evaluate 3x + 2 when x = 4.
Show answer
14
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Solve x + 6 = 15.
Show answer
x = 9
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Write an expression for 5 more than a number n.
Show answer
n + 5
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Is y = 3 a solution to y + 4 = 7?
Show answer
Yes