Grade 6 Mathematics · Unit 7: Integers, Rational Numbers, and the Coordinate PlaneStandard 6.NOS.7

Lesson 7.97.9 · Part II

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target I can reflect points across the x-axis and y-axis on the coordinate plane.

Start hereWords for this lesson

Read each word before you begin. Say it out loud.

WordWhat it meansExample
ReflectionSpanish: Reflexión A flipped, mirror image across a line. (3, 2) reflected over the y-axis becomes (-3, 2) — x changes sign, y stays
x-axisSpanish: Eje x The line that goes across the grid. Flipping over it changes the y sign. (4, 3) → (4, -3): the y flips from +3 to -3, like folding the paper along the horizontal line
y-axisSpanish: Eje y The line that goes up the grid. Flipping over it changes the x sign. (4, 3) → (-4, 3): the x flips from +4 to -4, like folding the paper along the vertical line
SymmetrySpanish: Simetría When a shape looks the same on both sides of a line. A butterfly's wings are symmetric — fold it down the middle and both sides match
IntegerSpanish: Número entero Whole numbers and their opposites, like -2, -1, 0, 1, 2. ..., -3, -2, -1, 0, 1, 2, 3, ...
PerpendicularSpanish: Perpendicular Two lines that meet to make a square corner (90 degrees). The dashed height meets the base at a square corner — the small 90° box is what makes it perpendicular, not slanted.

Say it and write itSentence starters

Finish each sentence out loud with a partner. Then use them in your writing.

Word bank Reflectionx-axisy-axisSymmetryIntegerPerpendicular

Watch outA common mistake

A common mistake in Reflect Points Across Axes is flipping the sign of the wrong coordinate — changing the x-coordinate when reflecting over the x-axis, instead of the y-coordinate (or vice versa for the y-axis). For example, to reflect (3, -5) over the x-axis, a student might flip the x-coordinate and write (-3, -5), but reflecting over the x-axis only changes the sign of the y-coordinate: (3, -5) becomes (3, 5). Before you submit, ask: 'Did I flip the sign of the coordinate that matches the axis I'm reflecting over — y for the x-axis, x for the y-axis?'

Grade 6 Mathematics · Unit 7: Integers, Rational Numbers, and the Coordinate PlaneStandard 6.NOS.7

Lesson 7.97.9 · Part II

Apply Day · Version ASupported practice

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can reflect points across the x-axis and y-axis on the coordinate plane.

  1. 1Complete each step, then write the final answer.

    Reflect (2, 5) across the y-axis. The new point is (?, 5). What is the missing x-coordinate?

    Show your work

    Hint Across the y-axis, x changes sign.

    Final answer:
  2. 2Complete each step, then write the final answer.

    Reflect (−3, −1) across the x-axis. The new point is (−3, ?). What is the missing y-coordinate?

    Show your work

    Hint Across the x-axis, y changes sign.

    Final answer:
  3. 3Complete each step, then write the final answer.

    Reflect (7, −2) across the y-axis. The new point is (?, −2). What is the missing x-coordinate?

    Show your work

    Hint Across the y-axis, x changes sign and y stays the same.

    Final answer:
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help
Grade 6 Mathematics · Unit 7: Integers, Rational Numbers, and the Coordinate PlaneStandard 6.NOS.7

Lesson 7.97.9 · Part II

Apply Day · Version BCore practice

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can reflect points across the x-axis and y-axis on the coordinate plane.

  1. 1Complete each step, then write the final answer.

    Rosa reflects (4, −6) across the x-axis. She writes (−4, −6). Is she right? What is the correct y-coordinate?

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.

    Reflect (0.5, −9) across the x-axis. What is the new y-coordinate?

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.

    Reflect (−1, 5) across the y-axis. The new point is (?, 5). What is the missing x-coordinate?

    Show your work
    Final answer:
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help
Grade 6 Mathematics · Unit 7: Integers, Rational Numbers, and the Coordinate PlaneStandard 6.NOS.7

Lesson 7.97.9 · Part II

Apply Day · ChallengeExtension

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can reflect points across the x-axis and y-axis on the coordinate plane.

  1. 1Circle the letter of the best answer. Show how you know.

    Reflect the point (5, −2) across the x-axis. What are the coordinates of the image?

    1. A(−2, 5)
    2. B(5, 2)
    3. C(−5, −2)
    4. D(−5, 2)
    Show your work
  2. 2Circle the letter of the best answer. Show how you know.

    Lu reflects (−8, 2) across the y-axis. She changes both signs. Which point is the correct reflection?

    1. A(8, 2)
    2. B(8, −2)
    3. C(−8, −2)
    4. D(2, −8)
    Show your work
  3. 3Complete each step, then write the final answer.

    Point T is reflected across the y-axis. Its image is at (−1.5, 7). What is the x-coordinate of T?

    Show your work
    Final answer:
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help