Solve and Graph Inequalities

My Notes Level 1 Support Level 2 Standard Level 3 Enrichment

Today's objectives

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

Language Objective: I can explain my work using the words solve, graph, solution, and substitute.

📖 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.

1To find all the values that make an inequality true is to it.
2To show the solutions on a number line is to them.
3A value that makes an inequality true is a .
4To check a solution, I the value back into the inequality.
5All the values that make an inequality true form the .
6An operation that undoes another to isolate the variable is an .

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

What steps did you follow to solve and then graph the inequality, and how did you check a value to make sure your solution set is right?

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.

Solve — To find the number that makes it true.Resolver — Encontrar el número que la hace verdadera. Graph — To show answers on a number line with circles and shading.Graficar — Mostrar respuestas en una recta numérica con círculos y sombreado. Solution — A number that makes the equation or inequality true.Solución — Un número que hace verdadera la ecuación o desigualdad. Substitute — To put a number in for the letter to check if it works.Sustituir — Poner un número en lugar de la letra para ver si funciona. Solution set — All of the values that make an inequality true.Conjunto solución — Todos los valores que hacen verdadera una desigualdad.

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.

First I solved by ___, then I graphed ___.Primero resolví al ___, luego grafiqué ___.

3. Build Your Explanation

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

Claim: Solving an inequality gives a range of solutions, not one number.

Evidence: Students note both use inverse operations to isolate the variable, but an inequality's solution is many values (a range) while an equation's is a single value.

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

Start

Most language support

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

First I solved by ___, then I graphed ___.Primero resolví al ___, luego grafiqué ___.
I substituted ___ to check that it ___ the inequality.Sustituí ___ para verificar que ___ la desigualdad.

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.