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

Lesson 7.97.9 Small Group · Group 1

Group 1 · Set BSecond form · new problems, same idea

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

Learning target With my small group, I can reflect points across the x-axis and y-axis on the coordinate plane — one step at a time, with support.

Remember7.9 Small Group · Group 1

Across the y-axis, x changes sign; across the x-axis, y changes sign; the other coordinate always stays the same. A reflection across an axis flips a point. One coordinate changes sign, and the other stays the same.

Words: Reflection (Reflexión)x-axis (Eje x)y-axis (Eje y)Symmetry (Simetría)Integer (Número entero)

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

    Reflect (−4, 3) across the y-axis. The new point is (?, 3). What is the missing x-coordinate?

    Show your work

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

    Final answer:
  2. 2Complete 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

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

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

    A video game has a mirror on the x-axis. A star is at (2, −7). Its mirror star is the reflection across the x-axis. What is the y-coordinate of the mirror star?

    Show your work

    Hint A mirror on the x-axis flips the point up or down. Which coordinate changes?

    Final answer:
  4. 4Complete each step, then write the final answer.

    Reflect (−3, −4) across the y-axis. Then reflect the new point across the x-axis. Which quadrant is the final point in?

    Show your work

    Hint Do one reflection at a time. Write the point after each one.

    Final answer:

Explain your thinkingRosa changed the wrong coordinate. How can you tell which coordinate changes when you reflect?

Sentence starter Across the x-axis, the ___ changes because ___. · Rosa should have changed ___.

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help