OwlSheets
Skate and Climb: Mirror Positions worksheet preview

Worksheet

Skate and Climb: Mirror Positions

Explore opposite numbers using gym route positions and membership adjustments, including zero, fractions, and opposites of opposites.

Grade 6MathInteractive · Printable

Aligned to6.NS.C.6.a

Play onlinePlay as a game
PrintLetter-size worksheetAnswer keyPrintable answers
Assign to classAssign to your classes, or get a join code

What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 14 questions
  • Classroom-ready

Details

Format
Interactive · Printable
Grade
Grade 6
Subject
Math
Question types
Fill in the blank, Multiple choice, Matching, Short answer

About this worksheet

What students practice

  • Students identify opposite numbers as reflections across zero on a number line.
  • Students find opposites of integers, fractions, decimals, and zero.
  • Students explain why the opposite of an opposite is the original number.

How to use

Use after introducing signed numbers. Have students trace reflections across zero on the number lines, then explain how two reflections return to the starting position.

Curriculum

Common Core standard covered

6.NS.C.6.a

See a negative number as the mirror of a positive one across 0 on the number line, and know the opposite of an opposite is the number.

Preview

OwlSheets.com

Name Date

Skate and Climb: Mirror Positions

Use number lines to identify opposites and reverse a reversal.

Mirror Positions

The skate and climbing gym measures horizontal positions from a center mark at 0. Negative positions are left of center; positive positions are right. A mirror position is a reflection across 0.

1.
A skate practice marker is at +7 meters. Use the number line to find its mirror position.−8−7−6−5−4−3−2−1012345678

The mirror position is   meters.

2.
Two climbing-route starting holds are at opposite positions. Which pair could be their positions?
  • A. −6 meters and −6 meters
  • B. −6 meters and +5 meters
  • C. −6 meters and +6 meters
  • D. 0 meters and +6 meters
3.
A climbing hold is 1.5 meters left of the center mark. Its signed position is −1.5 meters. Find its mirror position.−2−1.5−1−0.500.511.52

The mirror position is   meters.

4.
A route begins at the center mark, 0. What is its position after reflection across 0?
  • A. Its position is 0.
  • B. Its position is +1.
  • C. Its position is −1.
  • D. Its position cannot be found.
5.
Match each signed route position to its opposite. All positions are in meters.
  1. +4
  2. −2.5
  3. +3/4
  4. 0
  1. A. −3/4
  2. B. 0
  3. C. −4
  4. D. +2.5

Membership Reversals

The gym records added membership credit as positive and removed credit as negative. Reversing an adjustment means recording its opposite. Write signed numbers when needed.

6.
Imani's membership record shows a +12 dollar adjustment. Staff reverse that adjustment.

The reversing adjustment is   dollars.

7.
Luis's membership record shows a −8.50 dollar adjustment. Which adjustment reverses it?
  • A. −8.50 dollars
  • B. +8.50 dollars
  • C. 0 dollars
  • D. +0.50 dollars
8.
A membership adjustment is −14 dollars. First find the adjustment that reverses it. Then find the opposite of that reversing adjustment.

The first opposite is   dollars. The opposite of that result is   dollars.

9.
The expression −(−11) means the opposite of −11. Which number equals −(−11)?
  • A. −22
  • B. −11
  • C. 0
  • D. 11
10.
A member's adjustment was reversed twice. The final signed adjustment is +6.25 dollars. What was the original signed adjustment?

The original adjustment was   dollars.

Check the Route Plans

Use reflections across 0 to check each plan. Each reflection takes the opposite of the current position.

11.
A route planner places a hold at +1 1/4 meters. She reflects its position across 0, then reflects the result across 0 again.−1.5−1.25−1−0.75−0.5−0.2500.250.50.7511.251.5

After the first reflection, the position is   meters. After the second, it is   meters.

12.
A skate marker starts at −9 meters. Eli says reflecting it across 0 twice puts it at +9 meters. Which statement correctly checks his claim?
  • A. Eli is correct; both reflections leave it at +9 meters.
  • B. Eli is incorrect; the two reflections put it at 0 meters.
  • C. Eli is incorrect; the second reflection returns it to −9 meters.
  • D. Eli is correct; the second reflection keeps it positive.
13.
Two route starts are mirror images across 0 on this scale. One start is at −10 meters. Which description locates the other start?−16−14−12−10−8−6−4−20246810121416
  • A. It is five intervals right of 0, at +10 meters.
  • B. It is ten intervals right of 0, at +20 meters.
  • C. It is five intervals left of 0, at −10 meters.
  • D. It is one interval right of 0, at +2 meters.
14.
Sana says, “Reflecting any route position across 0 twice always returns it to its original position, even if it starts at 0.” Explain why she is correct. Use −3.5 meters as an example and also explain the case of 0.

Related worksheets