Distance on the Coordinate Plane

My Notes Level 1 Support Level 2 Standard Level 3 Enrichment

Today's objectives

Content Objective: I can find the distance between two points on the coordinate plane using absolute value.

Language Objective: I can explain my work using the words distance, absolute value, horizontal distance, and vertical distance.

📖 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.

1How far apart two points are on the coordinate plane is the .
2The distance of a number from zero, used to find distance between points, is its .
3The distance between two points along the x-direction is the .
4The distance between two points along the y-direction is the .
5The grid made by the x-axis and y-axis is the .
6A whole number or its opposite 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

One point is at (-3, 1) and another is at (4, 1). How does absolute value help you find the distance across zero?

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.

Distance — How far apart two points are. It is never negative.Distancia — Qué tan separados están dos puntos. Nunca es negativo. Absolute value — How far a number is from zero.Valor absoluto — Qué tan lejos está un número de cero. Coordinate plane — A grid with a line going across and a line going up that cross.Plano cartesiano — Una cuadrícula con una línea horizontal y una vertical que se cruzan. Horizontal distance — How far apart two points are going left or right.Distancia horizontal — Qué tan separados están dos puntos yendo a la izquierda o a la derecha. Vertical distance — How far apart two points are going up or down.Distancia vertical — Qué tan separados están dos puntos yendo hacia arriba o hacia abajo.

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.

The distance is |4| + |-3|, which equals ___.La distancia es |4| + |-3|, que es ___.

3. Build Your Explanation

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

Claim: I can find the distance by looking at the coordinates that ___.

Evidence: Student finds the distance by subtracting the x-coordinates (7 - 2 = 5) since the points share a horizontal line.

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

Start

Most language support

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

The distance is |4| + |-3|, which equals ___.La distancia es |4| + |-3|, que es ___.
I add the absolute values because the points are on ___ sides of zero.Sumo los valores absolutos porque los puntos estan en ___ lados del cero.

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.