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Unit 7: Equation Detective Agency Lesson 7-6 6.AT.8

Solve and Graph Inequalities

I can solve an inequality and graph its solution set on a number line.

Speaking and writing goal: I can explain my work using the words solve, graph, solution, and substitute.

Interactive LessonGuided NotesPractice HandoutHomework PracticeStudent HelpCheck Understanding

What Your Child Is Learning

In this lesson, students practice how to solve an inequality and graph its solution set on a number line. 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

Solve Resolver

To find the number that makes it true.

Graph Graficar

To show answers on a number line with circles and shading.

Solution Solución

A number that makes the equation or inequality true.

Substitute Sustituir

To put a number in place of a letter.

Solution set Conjunto solución

All the numbers that make the inequality true.

Inverse operation Operación inversa

Two math actions that undo each other, like × and ÷.

Try It Together

Pick one or two problems. Let your child explain the first step before opening the answer.

  1. Evaluate 3x + 2 when x = 4.
    Show answer

    14

  2. Solve x + 6 = 15.
    Show answer

    x = 9

  3. Write an expression for 5 more than a number n.
    Show answer

    n + 5

  4. Is y = 3 a solution to y + 4 = 7?
    Show answer

    Yes