Show every solution to an inequality on a number line with a boundary point and an arrow.
Example: Open circle at 6, shaded right, for x > 6
Understand Inequalities and Their Solutions
I can graph the solutions of an inequality on a number line.
Speaking and writing goal: I can explain my graph using the words number line, open circle, closed circle, and solution set.
What Your Child Is Learning
In this lesson, students practice how to graph the solutions of an inequality 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
A straight line where numbers are placed in order; numbers get smaller to the left and larger to the right.
Example: A line with 6 marked and values increasing right
An empty circle showing a number is NOT included.
Example: An open circle on x > 3
A filled-in circle showing a number IS included.
Example: A filled circle at 13 for x ≥ 13
All the numbers that make the inequality true.
Example: Every number 8 and above for x ≥ 8
A math sentence that compares two sides with <, >, ≤, or ≥.
Example: 134 + c ≤ 200
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