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Problem 44 · Rook's Gallery RecordPrint one blank worksheet now, download its PDF, or prepare a family or classroom packet.

Problem 44

Rook's Gallery Record

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Name
Date

Rook's Gallery Record

Complete to collectSapphire CrystalLevel 2 · 4 Glints

Rook's record

Rook is checking one delivery in the Jewelhouse Gallery. Every note in the record is true.

Rook checks the Gallery cases.

Turn each note into an equation

Use only the numbers in that note. You may add or subtract.

  1. Twelve sun tiles and 7 moon tiles arrived. Nineteen tiles arrived altogether.

  2. From the 19 delivery tiles, Rook put 8 in the high case. Eleven remained for the low case.

  3. The high case holds 8 tiles. The low case holds 11. Together, the cases hold all 19 tiles.

  4. Of the 11 low-case tiles, 5 are round and 6 are square.

  5. The low case has 11 tiles. That is 3 more than the high case's 8 tiles.

  6. Write a different equation for the last note. Use 8, 3, and 11 again.

At a glance

About this problem

These tags show what the problem is about and the math you’ll use. Choose one to find similar problems.

Theme

Skills

Helpful first

Grade

Math area

Topics

Is this a good fit?

Before you choose this problem

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

Math readiness

Designed for Grade 2 · Grade 3

Uses Middle Grade 2 math.

Thinking

Standard challenge

The solver chooses and coordinates familiar methods.

Time & response

About 5–12 minutes

Moderate amount of written work · Short Explanation response.

How to support: The useful struggle is deciding which quantities belong on each side of the equal sign. Ask the learner to retell one note before suggesting an operation.

How did it feel?

Pick the option that best matches this challenge. Recommendations use topic, math area, grade, story, and thinking challenge.

Keep exploring

The Manyfold challenge 5 of 22

Technical reference

Rating, skills & curriculum

Designed for Grade 2 · Grade 3 · Uses Middle Grade 2 math · About 5–12 minutes

Grade 2 · Grade 3 · Operations and computation · Algebraic structure and equations · Addition and subtraction · Algebraic foundations and generalization

MJ 2.3 · C2 · W2

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 2.3

Grades K–2

Grade 2 progression · point 3

Likely range
MJ 2.2–2.4
Confidence
84%

Challenge

C2 · Standard

The solver chooses and coordinates familiar methods.

  • Method selection1
  • Reasoning depth2
  • Novelty1
  • Constraint management1
  • Proof or justification1

Workload

W2 · Moderate

Several coordinated calculations, representations, or explanation steps.

Active time
5–12 minutes · typically 8
Response
Short Explanation
Known-method steps
12
  • Mechanical execution1
  • Written output2
  • Representation production1
  • Bookkeeping1

Learning focus

Skills this problem practices

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

  • Represent joining and separating with objects, drawings, or equations

    The learner can represent joining and separating with objects, drawings, or equations. This capability is distinct from mere exposure to or isolated use of count objects.

    • Transfer mastery
    • 60% focus
    • MJ K.7 milestone

  • Understand the equal sign as a relation, not an instruction

    The learner can understand the equal sign as a relation, not an instruction. This capability is distinct from mere exposure to or isolated use of compare quantities.

    • Transfer mastery
    • 40% focus
    • MJ 1.7 milestone

Readiness

Helpful prerequisites

Skills the rating assumes are already available to the learner.

  • Add and subtract fluently within 20

    The learner can add and subtract fluently within 20. This capability is distinct from mere exposure to or isolated use of strategies within 20.

    • Independent readiness
    • Required
    • MJ 2.3 milestone

External alignment

Curriculum and standards crosswalks

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

Bridges in Mathematicsthird-edition · 30 locations
Modules19 locations · Representative: Module 1: Dots to Ten
Number Corner workouts11 locations · Representative: December: Calendar Grid
Common Core State Standards for Mathematics2010 · 2 locations
Standards2 locations · Representative: Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations.