Implement Double Number Line Question

Use this skill when creating questions where students:

• Complete missing values on double number lines
• Work with proportional relationships shown on parallel number lines
• Fill in blanks on two aligned number lines showing equivalent ratios

When to Use This Pattern

Perfect for:

• "Complete the double number line showing days and pies"
• "Fill in the missing values on the number lines"
• Questions with two parallel number lines showing proportional relationships
• Equivalent ratio visualization with number lines

Not suitable for:

• Single number lines → use custom implementation
• Graph coordinate planes → use implement-dynamic-graph-question
• Simple tables → use implement-table-question

Components Required

Copy these from

.claude/skills/question-types/

:

Required

• implement-double-number-line-question/snippets/double-number-line.js

  → Complete double number line implementation

• snippets/cards/standard-card.js

  →

  createStandardCard()

Optional

• snippets/cards/explanation-card.js

  →

  createExplanationCard()

  - For student explanations

Quick Start

1. Review the pattern guide: PATTERN.md
2. Study the snippet: snippets/double-number-line.js
3. Copy from the working example:

   cat courses/IM-8th-Grade/modules/Unit-3/assignments/117-Equivalent-Ratios/questions/02/attachments/chart.js
   

Implementation Steps

1. Define State

function createDefaultState() {
  return {
    dnl1: "", // First blank on top number line
    dnl2: "", // Second blank on top number line
    dnl3: "", // First blank on bottom number line
    dnl4: "", // Second blank on bottom number line
    finalAnswer: "" // Optional: answer based on the number lines
  };
}

2. Copy the Double Number Line Snippet

Inline the complete

double-number-line.js

snippet into your chart.js file.

3. Configure and Call

function buildLayout(d3, containerSelector) {
  const container = d3.select(containerSelector);
  container.html("");

  // Create double number line
  const dnlInputs = createDoubleNumberLine(container, {
    svgWidth: 700,
    svgHeight: 200,
    topLabel: "Days",
    bottomLabel: "Pies",
    topValues: ["0", "3", "6", "9", null, null],
    bottomValues: ["0", "8", "16", "24", null, null],
    inputPositions: {
      top: [{ index: 4, key: "dnl1" }, { index: 5, key: "dnl2" }],
      bottom: [{ index: 4, key: "dnl3" }, { index: 5, key: "dnl4" }]
    }
  });

  // Store for interactivity control
  window.dnlInputs = dnlInputs;
}

4. Implement Interactivity Control

function setInteractivity(enabled) {
  if (window.dnlInputs) {
    window.dnlInputs.setInteractivity(enabled);
  }
}

Configuration Options

Basic Configuration

{
  svgWidth: 700,        // SVG width (default: 700)
  svgHeight: 200,       // SVG height (default: 200)
  lineY1: 60,          // Top line Y position (default: 60)
  lineY2: 140,         // Bottom line Y position (default: 140)
  lineStartX: 50,      // Line start X (default: 50)
  lineEndX: 650,       // Line end X (default: 650)
  tickLength: 10,      // Tick mark length (default: 10)
  topLabel: "Days",    // Top line label
  bottomLabel: "Pies", // Bottom line label
  numPositions: 6      // Number of tick marks (default: 6)
}

Value Configuration

{
  topValues: ["0", "3", "6", "9", null, null],    // null = input box
  bottomValues: ["0", "8", "16", "24", null, null],
  inputPositions: {
    top: [
      { index: 4, key: "dnl1" },  // Position 4, state key "dnl1"
      { index: 5, key: "dnl2" }   // Position 5, state key "dnl2"
    ],
    bottom: [
      { index: 4, key: "dnl3" },
      { index: 5, key: "dnl4" }
    ]
  }
}

Critical Implementation Pattern: foreignObject

The snippet uses SVG foreignObject for input positioning. This is the ONLY reliable method.

Why foreignObject?

✅ Correct: Uses same coordinate system as SVG text labels ✅ Correct: Direct SVG coordinates with centering formula ✅ Correct: Perfect alignment with tick marks

❌ Wrong: Div overlay with percentage positioning ❌ Wrong: Mixing coordinate systems

Centering Formula

For an input of width

W

and height

H

, to center it on SVG coordinate

(x, y)

:

.attr("x", x - W/2)  // Subtract half the width
.attr("y", y - H/2)  // Subtract half the height

Example:

• Input is 60px wide, 32px tall
• Want to center on (530, 35)
• Set x = 530 - 30 = 500
• Set y = 35 - 16 = 19

Common Customizations

Different Number of Ticks

{
  numPositions: 8,  // 8 ticks instead of 6
  topValues: ["0", "2", "4", "6", null, null, "14", "16"],
  bottomValues: ["0", "5", "10", "15", null, null, "35", "40"]
}

Different Input Positions

{
  topValues: ["0", "3", null, null, "12", null],
  inputPositions: {
    top: [
      { index: 2, key: "dnl1" },
      { index: 3, key: "dnl2" },
      { index: 5, key: "dnl3" }
    ],
    bottom: [
      { index: 2, key: "dnl4" },
      { index: 3, key: "dnl5" },
      { index: 5, key: "dnl6" }
    ]
  }
}

With Optional Table

Many double number line questions include a table showing the relationship first:

// Before creating the double number line
const tableCard = createStandardCard(container, {
  title: "Ratio Table",
  content: tableHtml
});

// Then create the double number line
const dnlInputs = createDoubleNumberLine(container, config);

Implementation Checklist

• State includes keys for all input boxes (dnl1, dnl2, dnl3, dnl4)
• Copied

  double-number-line.js

  snippet into chart.js
• Configured topLabel and bottomLabel
• Configured topValues and bottomValues (null for input positions)
• Configured inputPositions with correct indices and state keys
• Called createDoubleNumberLine() in buildLayout()
• Stored return value for interactivity control
• Implemented setInteractivity() function
• sendChartState() updates parent on input changes
• Tested in browser to verify alignment

DO NOT

❌ Use div overlay with percentage positioning ❌ Mix coordinate systems (SVG and CSS percentages) ❌ Hardcode pixel positions without centering formula ❌ Use transform: translate() for positioning inputs ❌ Forget to subtract half width/height for centering

DO

✅ Always use SVG foreignObject for input positioning ✅ Use same coordinate system as SVG text labels ✅ Apply centering formula: x - width/2, y - height/2 ✅ Position inputs at tick mark X-coordinates ✅ Test alignment in actual browser ✅ Document Y-coordinate choices for maintainability

Related Patterns

• implement-table-question - For tabular data entry
• implement-static-graph-question - For coordinate graphs with tables
• implement-custom-d3-question - For other custom SVG interactions

Complete Working Example

courses/IM-8th-Grade/modules/Unit-3/assignments/117-Equivalent-Ratios/questions/02/attachments/chart.js

This example includes:

• Static table showing the relationship
• Double number line with 4 input boxes
• Final answer input based on the completed number lines
• Two-part structure (Part 1: Complete number line, Part 2: Answer question)