Problem 6 · The Stained-Glass WindowPrint one blank worksheet now, download its PDF, or prepare a family or classroom packet.

MathJewels.com

Name

Date

The Stained-Glass Window

Complete to collectTumbled AmethystLevel 2 · 3 Glints

In Minecraft, a portal-room window is divided into 8 equal glass panes. At first, 3 panes are purple and 5 panes are clear. Alex wants the purple fraction to have a numerator exactly 2 less than its denominator.

The denominator counts all 8 panes. The numerator counts the purple panes.

Colored glass blocks can turn a Minecraft build into one huge picture.

Your challenges

What fraction of the window is purple at first?
How many clear panes must Alex change to purple, and what will the new purple fraction be?

Show your answer

Color the needed clear panes directly on the window and write the finished fraction beside it. Use scratch paper for your explanation.

Theme

Minecraft

Skills

Helpful first

Solve one- and two-step addition/subtraction stories within 100

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 2–6 minutes

Light amount of written work · Short Explanation response.

How to support: Use the labels to connect denominator with all panes and numerator with purple panes, then let the learner color the change.

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 3.6

Grades 3–5

Grade 3 progression · point 6

Likely range: MJ 3.3–3.6
Confidence: 92%

Challenge

C2 · Standard

The solver chooses and coordinates familiar methods.

Method selection1
Reasoning depth2
Novelty1
Constraint management1
Proof or justification1

Workload

W1 · Light

A short response with only a few steps.

Active time: 2–6 minutes · typically 3.5
Response: Short Explanation
Known-method steps: 6

Mechanical execution1
Written output1
Representation production1
Bookkeeping0

Learning focus

Skills this problem practices

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

Understand a/b as a copies of unit fraction 1/b
The learner can understand a/b as a copies of unit fraction 1/b. This capability is distinct from mere exposure to or isolated use of unit fractions.
- Independent mastery
- 75% focus
- MJ 3.6 milestone
Solve one- and two-step addition/subtraction stories within 100
The learner can solve one- and two-step addition/subtraction stories within 100. This capability is distinct from mere exposure to or isolated use of Grade 1 story structures.
- Independent mastery
- 25% focus
- MJ 2.3 milestone

Readiness

Helpful prerequisites

Skills the rating assumes are already available to the learner.

Solve one- and two-step addition/subtraction stories within 100
The learner can solve one- and two-step addition/subtraction stories within 100. This capability is distinct from mere exposure to or isolated use of Grade 1 story structures.
- 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 · 21 locations

Modules11 locations · Representative: Module 4: Adding & Subtracting to 20

Module 4: Adding & Subtracting to 20
grade-2-unit-1-module-4
The official publisher correlation lists this curriculum location for 2.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 2 Correlations to the Common Core State Standards · Page 5, standard 2.OA.A.1: Unit 1, Module 4, Sessions 4
- Partial
- Develops
- Overlapping
- Medium Confidence
Module 2: Adding & Subtracting on the Number Line
grade-2-unit-3-module-2
The official publisher correlation lists this curriculum location for 2.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 2 Correlations to the Common Core State Standards · Page 5, standard 2.OA.A.1: Unit 3, Module 2, Sessions 1, 2
- 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.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 2 Correlations to the Common Core State Standards · Page 5, standard 2.OA.A.1: Unit 3, Module 3, Sessions 1, 3, 4, 5, 7
- Partial
- Develops
- Overlapping
- Medium Confidence
Module 4: Data & the Color Tiles Project
grade-2-unit-3-module-4
The official publisher correlation lists this curriculum location for 2.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 2 Correlations to the Common Core State Standards · Page 5, standard 2.OA.A.1: Unit 3, Module 4, Sessions 1
- Partial
- Develops
- Overlapping
- Medium Confidence
Module 3: Jessie & the Giant
grade-2-unit-4-module-3
The official publisher correlation lists this curriculum location for 2.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 2 Correlations to the Common Core State Standards · Page 5, standard 2.OA.A.1: Unit 4, Module 3, Sessions 2, 5, 6
- Partial
- Develops
- Overlapping
- Medium Confidence
Module 4: Thinking in 3s
grade-2-unit-4-module-4
The official publisher correlation lists this curriculum location for 2.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 2 Correlations to the Common Core State Standards · Page 5, standard 2.OA.A.1: Unit 4, Module 4, Sessions 1, 2
- Partial
- Develops
- Overlapping
- Medium Confidence
Module 4: Exploring Equal Parts & Groups
grade-2-unit-7-module-4
The official publisher correlation lists this curriculum location for 2.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 2 Correlations to the Common Core State Standards · Page 5, standard 2.OA.A.1: Unit 7, Module 4, Sessions 1
- Partial
- Develops
- Overlapping
- Medium Confidence
Module 3: Understanding Fractions
grade-3-unit-4-module-3
The official publisher correlation lists this curriculum location for 3.NF.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 3 Correlations to the Common Core State Standards · Page 9, standard 3.NF.A.1: Unit 4, Module 3, Sessions 1, 2, 3, 4
- Partial
- Develops
- Overlapping
- Medium Confidence
Module 4: Fractions on a Line Plot
grade-3-unit-4-module-4
The official publisher correlation lists this curriculum location for 3.NF.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 3 Correlations to the Common Core State Standards · Page 9, standard 3.NF.A.1: Unit 4, Module 4, Sessions 2
- Partial
- Develops
- Overlapping
- Medium Confidence
Module 3: Fractions as Parts of a Whole & Parts of a Set
grade-3-unit-7-module-3
The official publisher correlation lists this curriculum location for 3.NF.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 3 Correlations to the Common Core State Standards · Page 9, standard 3.NF.A.1: Unit 7, Module 3, Sessions 1, 2, 3, 4, 5, 6
- Partial
- Develops
- Overlapping
- Medium Confidence
Module 4: Fractions at Work
grade-3-unit-7-module-4
The official publisher correlation lists this curriculum location for 3.NF.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 3 Correlations to the Common Core State Standards · Page 9, standard 3.NF.A.1: Unit 7, Module 4, Sessions 1
- Partial
- Develops
- Overlapping
- Medium Confidence

Number Corner workouts10 locations · Representative: September: Calendar Grid

September: Calendar Grid
grade-2-number-corner-september-calendar-grid
The official publisher correlation lists this curriculum location for 2.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 2 Correlations to the Common Core State Standards · Page 5, standard 2.OA.A.1: Number Corner September, Calendar Grid
- Partial
- Develops
- Overlapping
- Medium Confidence
March: Number Line
grade-2-number-corner-march-number-line
The official publisher correlation lists this curriculum location for 2.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 2 Correlations to the Common Core State Standards · Page 5, standard 2.OA.A.1: Number Corner March, Number Line
- Partial
- Develops
- Overlapping
- Medium Confidence
April: Number Line
grade-2-number-corner-april-number-line
The official publisher correlation lists this curriculum location for 2.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 2 Correlations to the Common Core State Standards · Page 5, standard 2.OA.A.1: Number Corner April, Number Line
- Partial
- Develops
- Overlapping
- Medium Confidence
May: Calendar Grid
grade-2-number-corner-may-calendar-grid
The official publisher correlation lists this curriculum location for 2.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 2 Correlations to the Common Core State Standards · Page 5, standard 2.OA.A.1: Number Corner May, Calendar Grid
- Partial
- Develops
- Overlapping
- Medium Confidence
May: Calendar Collector
grade-2-number-corner-may-calendar-collector
The official publisher correlation lists this curriculum location for 2.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 2 Correlations to the Common Core State Standards · Page 5, standard 2.OA.A.1: Number Corner May, Calendar Collector
- Partial
- Develops
- Overlapping
- Medium Confidence
October: Calendar Collector
grade-3-number-corner-october-calendar-collector
The official publisher correlation lists this curriculum location for 3.NF.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 3 Correlations to the Common Core State Standards · Page 9, standard 3.NF.A.1: Number Corner October, Calendar Collector
- Partial
- Develops
- Overlapping
- Medium Confidence
November: Calendar Collector
grade-3-number-corner-november-calendar-collector
The official publisher correlation lists this curriculum location for 3.NF.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 3 Correlations to the Common Core State Standards · Page 9, standard 3.NF.A.1: Number Corner November, Calendar Collector
- Partial
- Develops
- Overlapping
- Medium Confidence
December: Calendar Grid
grade-3-number-corner-december-calendar-grid
The official publisher correlation lists this curriculum location for 3.NF.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 3 Correlations to the Common Core State Standards · Page 9, standard 3.NF.A.1: Number Corner December, Calendar Grid
- Partial
- Develops
- Overlapping
- Medium Confidence
February: Calendar Collector
grade-3-number-corner-february-calendar-collector
The official publisher correlation lists this curriculum location for 3.NF.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 3 Correlations to the Common Core State Standards · Page 9, standard 3.NF.A.1: Number Corner February, Calendar Collector
- Partial
- Develops
- Overlapping
- Medium Confidence
April: Calendar Collector
grade-3-number-corner-april-calendar-collector
The official publisher correlation lists this curriculum location for 3.NF.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 3 Correlations to the Common Core State Standards · Page 9, standard 3.NF.A.1: Number Corner April, Calendar Collector
- Partial
- Develops
- Overlapping
- Medium Confidence

Common Core State Standards for Mathematics2010 · 2 locations

Standards2 locations · Representative: Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.

Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.
CCSS.MATH.CONTENT.2.OA.A.1
Solve one- and two-step addition/subtraction stories within 100 was reviewed against CCSS.Math.Content.2.OA.A.1. The ontology's CCSS locator 2.OA.A.1 resolves to this standard; the atomic skill is narrower relative to the published expectation.
- Strong
- Assesses
- Narrower
- Independent
- Medium Confidence
Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.
CCSS.MATH.CONTENT.3.NF.A.1
Understand a/b as a copies of unit fraction 1/b was reviewed against CCSS.Math.Content.3.NF.A.1. The ontology's CCSS locator 3.NF.A.1 resolves to this standard; the atomic skill is narrower relative to the published expectation.
- Strong
- Assesses
- Narrower
- Independent
- Medium Confidence