Equations and Inequalities Problem Solving

My Notes Level 1 Support Level 2 Standard Level 3 Enrichment

Today's objectives

Content Objective: I can model and solve real-world problems using equations and inequalities.

Language Objective: I can explain my reasoning using the words model, equation, inequality, and reasonableness.

📖 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.

1A drawing, equation, or diagram that represents a situation is a .
2A math sentence with an equal sign is an .
3A math sentence that compares values with <, >, ≤, or ≥ is an .
4Checking whether an answer makes sense for the problem is checking its .
5A letter that stands for the unknown amount in a problem is a .
6A limit that tells which values are allowed in a problem is a .

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 was your plan to solve this problem, and how did you check that your answer was reasonable?

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.

Model — To show a real-life situation with an equation or inequality.Modelar — Mostrar una situación real con una ecuación o desigualdad. Equation — A math sentence with an equal sign showing both sides are the same.Ecuación — Una oración matemática con un signo igual que muestra que ambos lados son iguales. Inequality — A math sentence that compares two sides with <, >, ≤, or ≥.Desigualdad — Una oración matemática que compara dos lados con <, >, ≤ o ≥. Reasonableness — Checking if your answer makes sense.Razonabilidad — Revisar si tu respuesta tiene sentido. Variable — A letter that stands for the unknown amount in a word problem.Variable — Una letra que representa la cantidad desconocida en un problema verbal.

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.

My plan was to ___, and I knew to ___ because ___.Mi plan fue ___, y supe ___ porque ___.

3. Build Your Explanation

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

Claim: An exact total points to an equation; a limit or range points to an inequality.

Evidence: Students use signal words ('equals/total' for an equation; 'at least/at most/no more than' for an inequality) to choose the correct model.

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

Start

Most language support

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

My plan was to ___, and I knew to ___ because ___.Mi plan fue ___, y supe ___ porque ___.
My answer is reasonable because ___.Mi respuesta es razonable 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.