Neft Teacher · Notes Packet

Unit 9 · Standard 6.NS.6

Graph on the Coordinate Plane Flagship

Lesson 9-1-flagship

Name:Date:Class:

Lost Cove Mission

Captain Vega's Coordinates

You are the navigator on Captain Vega's expedition. Instead of 'X marks the spot,' she hid the treasure route as ordered pairs scrawled across a four-quadrant chart. Plot every point in the right order and the lost cove treasure is yours.

Key Vocabulary Level 1 support

Picture first, then the word, then a plain-language meaning. Say each word out loud.

Illustration of Coordinate plane: A grid with a line going across and a line going up that cross.

A grid with a horizontal line (x-axis) crossing a vertical line (y-axis), making four sections

Coordinate plane

A grid with a line going across and a line going up that cross.

Illustration of Ordered pair: Two numbers (x, y) that tell where a point is on a grid.

(3, 5) means move right 3 from the origin, then up 5

Ordered pair

Two numbers (x, y) that tell where a point is on a grid.

Illustration of Origin: The point (0, 0) where the two grid lines cross.

The starting point at the center where both axes cross — (0, 0)

Origin

The point (0, 0) where the two grid lines cross.

Illustration of Quadrant: One of the four parts of a coordinate grid.

I (+,+) top-right, II (-,+) top-left, III (-,-) bottom-left, IV (+,-) bottom-right

Quadrant

One of the four parts of a coordinate grid.

Illustration of Reflection: A flipped, mirror image across a line.

(3, 2) reflected over the x-axis becomes (3, -2) — same x, opposite y

Reflection

A flipped, mirror image across a line.

Illustration of Integer: Whole numbers and their opposites, like -2, -1, 0, 1, 2.

..., -3, -2, -1, 0, 1, 2, 3, ...

Integer

Whole numbers and their opposites, like -2, -1, 0, 1, 2.

Key Ideas & Notes

Think About It

  • What shape will the three points make when connected?
  • Which number tells you how far right/left? Which tells you up/down?
  • Why is the ORDER in an ordered pair important?

My Notes

Guided Examples

Example 1

Which ordered pair names a point 3 units right and 7 units up from the origin?

Solution: The first coordinate is horizontal (right 3), the second is vertical (up 7). So (3, 7).

Answer: A. (3, 7)

Example 2

What are the coordinates of the origin?

Solution: The origin is where the x-axis and y-axis cross, at (0, 0).

Answer: A. (0, 0)

Example 3

A point is at (6, 2). What does the 6 tell you?

Solution: The first number (x-coordinate) tells you horizontal movement. 6 means go right 6 units from the origin.

Answer: A. Move 6 units to the right

Write About the Math The Writing Revolution

I can explain my work using the words coordinate plane, ordered pair, origin, and quadrant.

1. Kernel Sentence subject + verb

Model: Coordinate plane is a grid with a line going across and a line going up that cross.Plano cartesiano es una cuadrícula con una línea horizontal y una vertical que se cruzan.

Write a kernel sentence about coordinate plane. Use a subject and a verb.Escribe una oración base sobre plano cartesiano. Usa un sujeto y un verbo.

2. Sentence Expansion because · but · so

Kernel: Coordinate plane matters in mathPlano cartesiano importa en matemáticas

Expand the kernel three ways. Add a reason, a contrast, and a result.

becauseporque

Coordinate plane matters in math because ___.Plano cartesiano importa en matemáticas porque ___.

butpero

Coordinate plane matters in math, but ___.Plano cartesiano importa en matemáticas, pero ___.

soentonces

Coordinate plane matters in math, so ___.Plano cartesiano importa en matemáticas, entonces ___.

3. Sentence Types 4 ways to write a math idea

StatementAfirmación

Tell one true fact about coordinate plane.Di un hecho verdadero sobre coordinate plane.

Coordinate plane ___.

QuestionPregunta

Ask a question about coordinate plane.Haz una pregunta sobre coordinate plane.

How does ___ ?¿Cómo ___ ?

ExclamationExclamación

Show excitement about coordinate plane.Muestra entusiasmo sobre coordinate plane.

Wow, ___ !¡Guau, ___ !

CommandMandato

Tell a partner what to do with coordinate plane.Dile a un compañero qué hacer con coordinate plane.

First, ___ .Primero, ___ .

4. Explain Your Reasoning use a sentence starter

I know ___ because ___.Sé que ___ porque ___.

First I ___, then I ___.Primero ___, luego ___.

This is important because ___.Esto es importante porque ___.

Try It

Solve on your own. Check the answer key when you are done.

1. What are the coordinates of the origin?

  1. (0, 0)
  2. (1, 1)
  3. (0, 1)
  4. (1, 0)
Show your work:

2. A point is at (6, 2). What does the 6 tell you?

  1. Move 6 units to the right
  2. Move 6 units up
  3. Move 6 units to the left
  4. The point is in Quadrant 6
Show your work:

Stretch Your Thinking Level 2 enrichment

Challenge task — explain your reasoning in full sentences.

A student says that (3, 5) and (5, 3) are the same point because they use the same numbers. Is the student correct? Explain why or why not, and describe where each point is located on the coordinate plane.

Sentence starter: The student is ___ because (3, 5) means ___ while (5, 3) means ___. The ORDER matters because ___.

Show your work:

Reflect — Exit Ticket

Point P is located 6 units right and 3 units up from the origin. What ordered pair names point P?

  1. (6, 3)
  2. (3, 6)
  3. (6, 0)
  4. (0, 3)
Your answer:

Answer Key & Teacher Guide

  1. Try It 1: A. (0, 0) — The origin is where the x-axis and y-axis cross, at (0, 0).
  2. Try It 2: A. Move 6 units to the right — The first number (x-coordinate) tells you horizontal movement. 6 means go right 6 units from the origin.
  3. Exit Ticket: A. (6, 3) — Right 6 = x-coordinate of 6, Up 3 = y-coordinate of 3. The ordered pair is (6, 3).

Writing (TWR) — what to look for