Problem 22 · Jar Jar’s Ruination RulePrint one blank worksheet now, download its PDF, or prepare a family or classroom packet.
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Jar Jar’s Ruination Rule

Complete to collectTumbled AgateLevel 2 · 3 Glints

In Star Wars, Jar Jar Binks is a character. A wildly dramatic review droid uses made-up screen-time estimates for a four-movie marathon. Use only the numbers in the table; no Star Wars knowledge is needed.

The droid calls a movie “ruined” when Jar Jar’s screen time is more than one tenth of the movie’s runtime.

Jar Jar Binks, looking far too pleased with the rule.
Movie Runtime Jar Jar time
The Phantom Menace 120 min 13 min
Attack of the Clones 140 min 14 min
Revenge of the Sith 130 min 8 min
A New Hope 120 min 0 min

Use separate paper for your solution.

  1. Find one tenth of each movie’s runtime. List the four threshold times in table order.

  2. Under the droid’s “more than one tenth” rule, which movies are ruined? How many movies is that?

  3. Another droid changes the rule to “at least one tenth.” Which movie changes classification, and how many movies now count as ruined? Explain why.

At a glance

About this problem

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Skills

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Grade

Math area

Topics

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Before you choose this problem

A plain-language look at readiness, thinking, time, and the expected response.

Math readiness

Designed for Grade 5

Uses Early Grade 5 math.

Thinking

Standard challenge

The solver chooses and coordinates familiar methods.

Time & response

About 2.5–7 minutes

Light amount of written work · Short Explanation response.

How to support: Focus attention on the strict threshold language without telling the learner which boundary value changes.

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Technical reference

Rating, skills & curriculum

Designed for Grade 5 · Uses Early Grade 5 math · About 2.5–7 minutes

Grade 5 · Number and quantity · Fractions as numbers

MJ 5.0 · C2 · W1

Precise MJD coordinates, factor scores, skill weights, calibration evidence, and curriculum crosswalks. This reference is available to everyone and is intentionally last.

Content level

MJ 5.0

Grades 3–5

Grade 5 progression · point 0

Likely range
MJ 4.9–5.1
Confidence
91%

Challenge

C2 · Standard

The solver chooses and coordinates familiar methods.

  • Method selection1
  • Reasoning depth2
  • Novelty1
  • Constraint management1
  • Proof or justification2

Workload

W1 · Light

A short response with only a few steps.

Active time
2.5–7 minutes · typically 4.5
Response
Short Explanation
Known-method steps
6
  • Mechanical execution1
  • Written output1
  • Representation production1
  • Bookkeeping1

Learning focus

Skills this problem practices

What a successful response demonstrates, with each skill’s share of the content rating.

  • Find one tenth of a quantity

    The learner can find one tenth of a quantity. The capability is credited only when the task makes that demand necessary for success.

    • Independent mastery
    • 100% focus
    • MJ 5.0 milestone

Readiness

Helpful prerequisites

Skills the rating assumes are already available to the learner.

  • Interpret whole-number quotients as sharing or grouping

    The learner can interpret whole-number quotients as sharing or grouping. This capability is distinct from mere exposure to or isolated use of equal groups.

    • Fluent readiness
    • Required
    • MJ 3.6 milestone

External alignment

Curriculum and standards crosswalks

Approved evidence-backed locations that support discovery. They do not define the MathJewels rating.

Common Core State Standards for Mathematics2010 · 1 location
Standard components1 location · Representative: Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number.