Problem 43 · The Fullest Gallery CasePrint one blank worksheet now, download its PDF, or prepare a family or classroom packet.

MathJewels.com

Name

Date

The Fullest Gallery Case

Complete to collectTumbled Rose QuartzLevel 2 · 4 Glints

The problem

In the Jewelhouse Gallery, one display case can hold at most 700 glass tiles. The Gallery must choose exactly two of four trays: tray A has 268 tiles, tray B has 347, tray C has 359, and tray D has 411.

Four Gallery trays: tray A has 268 glass tiles, tray B has 347, tray C has 359, and tray D has 411. An empty display case above them is labeled capacity 700.

Test every pair

Pair	Addition	Total	Fits 700 or less?
A + B	268 + 347
A + C	268 + 359
A + D	268 + 411
B + C	347 + 359
B + D	347 + 411
C + D	359 + 411

Questions

Complete the table and circle your best row here. Use scratch paper for your explanation.

Add each pair. Complete the Total and Fits 700 or less? columns in the supplied table.
Circle the row with the greatest total that is 700 or less. State the total and explain why that pair is the best choice.

Theme

The Manyfold

Skills

Helpful first

Grade

Grade 3

Math area

Topics

Math readiness

Designed for Grade 3

Uses Middle Grade 3 math.

Thinking

Standard challenge

The solver chooses and coordinates familiar methods.

Time & response

About 4–11 minutes

Moderate amount of written work · Short Explanation response.

How to support: Let the learner use the complete pair table. Ask which totals are allowed before asking which allowed total is greatest.

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 3.4

Grades 3–5

Grade 3 progression · point 4

Likely range: MJ 3.4–3.4
Confidence: 84%

Challenge

C2 · Standard

The solver chooses and coordinates familiar methods.

Method selection1
Reasoning depth1
Novelty1
Constraint management2
Proof or justification1

Workload

W2 · Moderate

Several coordinated calculations, representations, or explanation steps.

Active time: 4–11 minutes · typically 7
Response: Short Explanation
Known-method steps: 9

Mechanical execution2
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.

Add and subtract fluently within 1,000
The learner can add and subtract fluently within 1,000. This capability is distinct from mere exposure to or isolated use of Grade 2 multidigit strategies.
- Independent mastery
- 80% focus
- MJ 3.4 milestone
Compare three-digit numbers with place-value reasoning and symbols
The learner can compare three-digit numbers with place-value reasoning and symbols. This capability is distinct from mere exposure to or isolated use of three-digit place value.
- Independent mastery
- 20% focus
- MJ 2.5 milestone

Readiness

Helpful prerequisites

Skills the rating assumes are already available to the learner.

Add and subtract fluently within 100
The learner can add and subtract fluently within 100. This capability is distinct from mere exposure to or isolated use of place value strategies.
- Independent readiness
- Required
- MJ 2.6 milestone
Interpret hundreds, tens, and ones in three-digit numbers
The learner can interpret hundreds, tens, and ones in three-digit numbers. This capability is distinct from mere exposure to or isolated use of two-digit place value.
- Independent readiness
- Required
- MJ 2.5 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 · 17 locations

Modules14 locations · Representative: Module 1: Counting & Modeling Two- & Three-Digit Numbers

Module 1: Counting & Modeling Two- & Three-Digit Numbers
grade-2-unit-2-module-1
The official publisher correlation lists this curriculum location for 2.NBT.A.4, which resolves from the MathJewels capability's recorded CCSS locator. The mapping is partial because a curriculum location can develop more than this single capability.
- Bridges & Number Corner Third Edition: Grade 2 Correlations to the Common Core State Standards · Page 8, standard 2.NBT.A.4: Unit 2, Module 1, Sessions 1, 5
- Partial
- Develops
- Overlapping
- Medium Confidence
Module 3: Posing & Solving Contextual Problems
grade-2-unit-3-module-3
The official publisher correlation lists this curriculum location for 2.NBT.A.4, which resolves from the MathJewels capability's recorded CCSS locator. The mapping is partial because a curriculum location can develop more than this single capability.
- Bridges & Number Corner Third Edition: Grade 2 Correlations to the Common Core State Standards · Page 8, standard 2.NBT.A.4: Unit 3, Module 3, Sessions 2
- Partial
- Develops
- Overlapping
- Medium Confidence
Module 1: Counting to 1,000
grade-2-unit-5-module-1
The official publisher correlation lists this curriculum location for 2.NBT.A.4, which resolves from the MathJewels capability's recorded CCSS locator. The mapping is partial because a curriculum location can develop more than this single capability.
- Bridges & Number Corner Third Edition: Grade 2 Correlations to the Common Core State Standards · Page 8, standard 2.NBT.A.4: Unit 5, Module 1, Sessions 1, 4, 5
- Partial
- Develops
- Overlapping
- Medium Confidence
Module 2: Place Value with Money
grade-2-unit-5-module-2
The official publisher correlation lists this curriculum location for 2.NBT.A.4, which resolves from the MathJewels capability's recorded CCSS locator. The mapping is partial because a curriculum location can develop more than this single capability.
- Bridges & Number Corner Third Edition: Grade 2 Correlations to the Common Core State Standards · Page 8, standard 2.NBT.A.4: Unit 5, Module 2, Sessions 6
- Partial
- Develops
- Overlapping
- Medium Confidence
Module 3: Exploring Place Value & 3-Digit Numbers
grade-2-unit-5-module-3
The official publisher correlation lists this curriculum location for 2.NBT.A.4, which resolves from the MathJewels capability's recorded CCSS locator. The mapping is partial because a curriculum location can develop more than this single capability.
- Bridges & Number Corner Third Edition: Grade 2 Correlations to the Common Core State Standards · Page 8, standard 2.NBT.A.4: Unit 5, Module 3, Sessions 2
- Partial
- Develops
- Overlapping
- Medium Confidence
Module 1: Revisiting Place Value & Three-Digit Computation
grade-2-unit-8-module-1
The official publisher correlation lists this curriculum location for 2.NBT.A.4, which resolves from the MathJewels capability's recorded CCSS locator. The mapping is partial because a curriculum location can develop more than this single capability.
- Bridges & Number Corner Third Edition: Grade 2 Correlations to the Common Core State Standards · Page 8, standard 2.NBT.A.4: Unit 8, Module 1, Sessions 1, 4
- Partial
- Develops
- Overlapping
- Medium Confidence
Module 2: Subtraction Facts to Twenty
grade-3-unit-1-module-2
The official publisher correlation lists this curriculum location for 3.NBT.A.2, which resolves from the MathJewels capability's recorded CCSS locator. The mapping is partial because a curriculum location can develop more than this single capability.
- Bridges & Number Corner Third Edition: Grade 3 Correlations to the Common Core State Standards · Page 8, standard 3.NBT.A.2: Unit 1, Module 2, Sessions 5
- Partial
- Develops
- Overlapping
- Medium Confidence
Module 3: Double-Digit Addition
grade-3-unit-1-module-3
The official publisher correlation lists this curriculum location for 3.NBT.A.2, which resolves from the MathJewels capability's recorded CCSS locator. The mapping is partial because a curriculum location can develop more than this single capability.
- Bridges & Number Corner Third Edition: Grade 3 Correlations to the Common Core State Standards · Page 8, standard 3.NBT.A.2: Unit 1, Module 3, Sessions 2, 3
- Partial
- Develops
- Overlapping
- Medium Confidence
Module 4: Strategies for Adding & Subtracting
grade-3-unit-1-module-4
The official publisher correlation lists this curriculum location for 3.NBT.A.2, which resolves from the MathJewels capability's recorded CCSS locator. The mapping is partial because a curriculum location can develop more than this single capability.
- Bridges & Number Corner Third Edition: Grade 3 Correlations to the Common Core State Standards · Page 8, standard 3.NBT.A.2: Unit 1, Module 4, Sessions 2, 4
- Partial
- Develops
- Overlapping
- Medium Confidence
Module 1: Rounding & Multidigit Addition
grade-3-unit-3-module-1
The official publisher correlation lists this curriculum location for 3.NBT.A.2, which resolves from the MathJewels capability's recorded CCSS locator. The mapping is partial because a curriculum location can develop more than this single capability.
- Bridges & Number Corner Third Edition: Grade 3 Correlations to the Common Core State Standards · Page 8, standard 3.NBT.A.2: Unit 3, Module 1, Sessions 5
- Partial
- Develops
- Overlapping
- Medium Confidence
Module 2: Multidigit Subtraction
grade-3-unit-3-module-2
The official publisher correlation lists this curriculum location for 3.NBT.A.2, which resolves from the MathJewels capability's recorded CCSS locator. The mapping is partial because a curriculum location can develop more than this single capability.
- Bridges & Number Corner Third Edition: Grade 3 Correlations to the Common Core State Standards · Page 8, standard 3.NBT.A.2: Unit 3, Module 2, Sessions 1, 2, 3, 4, 5
- Partial
- Develops
- Overlapping
- Medium Confidence
Module 3: Estimating to Add & Subtract
grade-3-unit-3-module-3
The official publisher correlation lists this curriculum location for 3.NBT.A.2, which resolves from the MathJewels capability's recorded CCSS locator. The mapping is partial because a curriculum location can develop more than this single capability.
- Bridges & Number Corner Third Edition: Grade 3 Correlations to the Common Core State Standards · Page 8, standard 3.NBT.A.2: Unit 3, Module 3, Sessions 1, 3
- Partial
- Develops
- Overlapping
- Medium Confidence
Module 4: Extending Multidigit Addition & Subtraction
grade-3-unit-3-module-4
The official publisher correlation lists this curriculum location for 3.NBT.A.2, which resolves from the MathJewels capability's recorded CCSS locator. The mapping is partial because a curriculum location can develop more than this single capability.
- Bridges & Number Corner Third Edition: Grade 3 Correlations to the Common Core State Standards · Page 8, standard 3.NBT.A.2: Unit 3, Module 4, Sessions 1, 2, 3, 4
- Partial
- Develops
- Overlapping
- Medium Confidence
Module 2: Solving Measurement Problem Situations & Telling Time
grade-3-unit-4-module-2
The official publisher correlation lists this curriculum location for 3.NBT.A.2, which resolves from the MathJewels capability's recorded CCSS locator. The mapping is partial because a curriculum location can develop more than this single capability.
- Bridges & Number Corner Third Edition: Grade 3 Correlations to the Common Core State Standards · Page 8, standard 3.NBT.A.2: Unit 4, Module 2, Sessions 1, 2
- Partial
- Develops
- Overlapping
- Medium Confidence

Number Corner workouts3 locations · Representative: October: Number Line

October: Number Line
grade-2-number-corner-october-number-line
The official publisher correlation lists this curriculum location for 2.NBT.A.4, which resolves from the MathJewels capability's recorded CCSS locator. The mapping is partial because a curriculum location can develop more than this single capability.
- Bridges & Number Corner Third Edition: Grade 2 Correlations to the Common Core State Standards · Page 8, standard 2.NBT.A.4: Number Corner October, Number Line
- Partial
- Develops
- Overlapping
- Medium Confidence
September: Solving Problems
grade-3-number-corner-september-solving-problems
The official publisher correlation lists this curriculum location for 3.NBT.A.2, which resolves from the MathJewels capability's recorded CCSS locator. The mapping is partial because a curriculum location can develop more than this single capability.
- Bridges & Number Corner Third Edition: Grade 3 Correlations to the Common Core State Standards · Page 8, standard 3.NBT.A.2: Number Corner September, Solving Problems
- Partial
- Develops
- Overlapping
- Medium Confidence
October: Solving Problems
grade-3-number-corner-october-solving-problems
The official publisher correlation lists this curriculum location for 3.NBT.A.2, which resolves from the MathJewels capability's recorded CCSS locator. The mapping is partial because a curriculum location can develop more than this single capability.
- Bridges & Number Corner Third Edition: Grade 3 Correlations to the Common Core State Standards · Page 8, standard 3.NBT.A.2: Number Corner October, Solving Problems
- Partial
- Develops
- Overlapping
- Medium Confidence

Common Core State Standards for Mathematics2010 · 2 locations

Standards2 locations · Representative: Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons.

Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons.
CCSS.MATH.CONTENT.2.NBT.A.4
Compare three-digit numbers with place-value reasoning and symbols was reviewed against CCSS.Math.Content.2.NBT.A.4. The ontology's CCSS locator 2.NBT.A.4 resolves to this standard; the atomic skill is narrower relative to the published expectation.
- Strong
- Assesses
- Narrower
- Independent
- Medium Confidence
Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.
CCSS.MATH.CONTENT.3.NBT.A.2
Add and subtract fluently within 1,000 was reviewed against CCSS.Math.Content.3.NBT.A.2. The ontology's CCSS locator 3.NBT.A.2 resolves to this standard; the atomic skill is narrower relative to the published expectation.
- Strong
- Assesses
- Narrower
- Independent
- Medium Confidence