Problem 45 · Jules's Nested Workshop NotePrint one blank worksheet now, download its PDF, or prepare a family or classroom packet.

Name

Date

Jules's Nested Workshop Note

Complete to collectTumbled JadeLevel 2 · 4 Glints

Jules's build note

Jules is preparing two matching display cabinets in the Jewelhouse Workshop.

Each cabinet holds 3 velvet trays.
Each tray holds 8 green settings and 4 gold settings.
After filling a cabinet's trays, Jules clips 5 numbered tags to that cabinet.

Jules sets one velvet tray into a cabinet.

Build the note in layers

Write one numerical equation for each step. Do not use letter variables.

How many settings are in one tray? Use 8 and 4 in your equation.
How many settings are in all 3 trays of one cabinet? Use 3, 8, and 4 in one equation.
How many objects are in one finished cabinet, including its 5 tags? Use 3, 8, 4, and 5 in one equation.
How many objects are in both finished cabinets? Use 2, 3, 8, 4, and 5 in one equation.
Luna compressed the whole story this way:

$2 \times 3 \times (8 + 4) + 5 = 77$

Explain exactly what Luna's equation counts incorrectly. Then write one correct equation using 2, 3, 8, 4, and 5 each exactly once.

Theme

The Manyfold

Skills

Use parentheses, brackets, and braces in numerical expressions

Helpful first

Solve two-step whole-number problems using the four operations

Grade

Math area

Algebraic structure and equations

Topics

Expressions and symbolic structure

Math readiness

Designed for Grade 4 · Grade 5

Uses Early Grade 5 math.

Thinking

Standard challenge

The solver chooses and coordinates familiar methods.

Time & response

About 6–15 minutes

Moderate amount of written work · Short Explanation response.

How to support: The useful struggle is deciding which quantities travel together inside grouping symbols. Ask what one cabinet contains before discussing the two-cabinet total.

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 5.2

Grades 3–5

Grade 5 progression · point 2

Likely range: MJ 5.1–5.3
Confidence: 86%

Challenge

C2 · Standard

The solver chooses and coordinates familiar methods.

Method selection1
Reasoning depth2
Novelty1
Constraint management2
Proof or justification2

Workload

W2 · Moderate

Several coordinated calculations, representations, or explanation steps.

Active time: 6–15 minutes · typically 10
Response: Short Explanation
Known-method steps: 13

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.

Use parentheses, brackets, and braces in numerical expressions
The learner can use parentheses, brackets, and braces in numerical expressions. This capability is distinct from mere exposure to or isolated use of four operations.
- Independent mastery
- 100% focus
- MJ 5.2 milestone

Readiness

Helpful prerequisites

Skills the rating assumes are already available to the learner.

Solve two-step whole-number problems using the four operations
The learner can solve two-step whole-number problems using the four operations. This capability is distinct from mere exposure to or isolated use of operation meanings; order from notation.
- Fluent readiness
- Required
- MJ 3.9 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 · 9 locations

Modules6 locations · Representative: Module 1: Multiplication & Volume

Module 1: Multiplication & Volume
grade-5-unit-1-module-1
The official publisher correlation lists this curriculum location for 5.OA.A.1, 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 5 Correlations to the Common Core State Standards · Page 5, standard 5.OA.A.1: Unit 1, Module 1, Sessions 5
- Partial
- Develops
- Overlapping
- Medium Confidence
Module 2: Factors, Multiples & Properties
grade-5-unit-1-module-2
The official publisher correlation lists this curriculum location for 5.OA.A.1, 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 5 Correlations to the Common Core State Standards · Page 5, standard 5.OA.A.1: Unit 1, Module 2, Sessions 1, 2, 4
- Partial
- Develops
- Overlapping
- Medium Confidence
Module 3: Multiplication Strategies
grade-5-unit-1-module-3
The official publisher correlation lists this curriculum location for 5.OA.A.1, 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 5 Correlations to the Common Core State Standards · Page 5, standard 5.OA.A.1: Unit 1, Module 3, Sessions 1, 3, 4
- Partial
- Develops
- Overlapping
- Medium Confidence
Module 3: From Array to Algorithm
grade-5-unit-4-module-3
The official publisher correlation lists this curriculum location for 5.OA.A.1, 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 5 Correlations to the Common Core State Standards · Page 5, standard 5.OA.A.1: Unit 4, Module 3, Sessions 1
- Partial
- Develops
- Overlapping
- Medium Confidence
Module 1: Graphing Ordered Pairs
grade-5-unit-6-module-1
The official publisher correlation lists this curriculum location for 5.OA.A.1, 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 5 Correlations to the Common Core State Standards · Page 5, standard 5.OA.A.1: Unit 6, Module 1, Sessions 2, 3
- Partial
- Develops
- Overlapping
- Medium Confidence
Module 1: Division of Fractions & Whole Numbers
grade-5-unit-7-module-1
The official publisher correlation lists this curriculum location for 5.OA.A.1, 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 5 Correlations to the Common Core State Standards · Page 5, standard 5.OA.A.1: Unit 7, Module 1, Sessions 5
- Partial
- Develops
- Overlapping
- Medium Confidence

Number Corner workouts3 locations · Representative: September: Calendar Collector

September: Calendar Collector
grade-5-number-corner-september-calendar-collector
The official publisher correlation lists this curriculum location for 5.OA.A.1, 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 5 Correlations to the Common Core State Standards · Page 5, standard 5.OA.A.1: Number Corner September, Calendar Collector
- Partial
- Develops
- Overlapping
- Medium Confidence
October: Computational Fluency
grade-5-number-corner-october-computational-fluency
The official publisher correlation lists this curriculum location for 5.OA.A.1, 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 5 Correlations to the Common Core State Standards · Page 5, standard 5.OA.A.1: Number Corner October, Computational Fluency
- Partial
- Develops
- Overlapping
- Medium Confidence
November: Computational Fluency
grade-5-number-corner-november-computational-fluency
The official publisher correlation lists this curriculum location for 5.OA.A.1, 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 5 Correlations to the Common Core State Standards · Page 5, standard 5.OA.A.1: Number Corner November, Computational Fluency
- Partial
- Develops
- Overlapping
- Medium Confidence

Common Core State Standards for Mathematics2010 · 1 location

Standards1 location · Representative: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
CCSS.MATH.CONTENT.5.OA.A.1
Use parentheses, brackets, and braces in numerical expressions was reviewed against CCSS.Math.Content.5.OA.A.1. The ontology's CCSS locator 5.OA.A.1 resolves to this standard; the atomic skill is narrower relative to the published expectation.
- Strong
- Assesses
- Narrower
- Independent
- Medium Confidence