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Override for the tutor's lesson content generation calls. Auto uses the system default (Claude Sonnet 5 for lesson text, Opus 5 for diagrams).

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System default

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Tutoring abilities

Have you ever spread a picnic blanket out over the green grass?

The blanket lays flat and hides the ground underneath it.

The amount of flat space or **surface** that a shape covers is called its **area**.

<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<meta name="aspect-ratio" content="4:3">
<style>
  * { box-sizing: border-box; margin: 0; padding: 0; }
  body {
    font-family: system-ui, -apple-system, sans-serif;
    background: transparent;
    color: #1e2945;
    display: flex;
    flex-direction: column;
    align-items: center;
    justify-content: center;
    min-height: 100%;
    padding: 12px;
    user-select: none;
  }
  .controls {
    display: flex;
    gap: 8px;
    margin-bottom: 16px;
    width: 100%;
    max-width: 380px;
  }
  .btn {
    flex: 1;
    padding: 8px 12px;
    font-size: 14px;
    font-weight: 600;
    border: 2px solid #e2e8f0;
    background: #ffffff;
    color: #64748b;
    border-radius: 8px;
    cursor: pointer;
    transition: background-color 0.2s, color 0.2s, border-color 0.2s;
    text-align: center;
  }
  .btn.active {
    background: #3b82f6;
    border-color: #3b82f6;
    color: #ffffff;
  }
  .stage {
    display: flex;
    gap: 16px;
    width: 100%;
    max-width: 440px;
    justify-content: center;
    align-items: flex-end;
  }
  .area-box {
    display: flex;
    flex-direction: column;
    align-items: center;
    gap: 8px;
    flex: 1;
    transition: opacity 0.3s ease;
  }
  .area-box.dimmed {
    opacity: 0.25;
  }
  .grid-frame {
    background: #f1f5f9;
    padding: 8px;
    border-radius: 12px;
    display: flex;
    align-items: center;
    justify-content: center;
    width: 100%;
    aspect-ratio: 1;
  }
  .grid {
    display: grid;
    gap: 4px;
    width: 100%;
    height: 100%;
  }
  .grid-small {
    grid-template-columns: repeat(2, 1fr);
    grid-template-rows: repeat(2, 1fr);
    width: 50%;
    height: 50%;
  }
  .grid-big {
    grid-template-columns: repeat(4, 1fr);
    grid-template-rows: repeat(4, 1fr);
    width: 100%;
    height: 100%;
  }
  .tile {
    background: #93c5fd;
    border-radius: 4px;
    border: 1px solid #60a5fa;
    transition: background-color 0.3s ease;
  }
  .tile.highlight {
    background: #3b82f6;
    border-color: #2563eb;
  }
  .label-title {
    font-size: 15px;
    font-weight: 700;
  }
  .label-sub {
    font-size: 13px;
    color: #64748b;
    font-weight: 500;
  }
</style>
</head>
<body>

<div class="controls">
  <button class="btn active" id="btnBoth">Compare</button>
  <button class="btn" id="btnSmall">Small</button>
  <button class="btn" id="btnBig">Big</button>
</div>

<div class="stage">
  <div class="area-box" id="boxSmall">
    <div class="grid-frame">
      <div class="grid grid-small">
        <div class="tile highlight"></div>
        <div class="tile highlight"></div>
        <div class="tile highlight"></div>
        <div class="tile highlight"></div>
      </div>
    </div>
    <div class="label-title">Small Area</div>
    <div class="label-sub">4 units covered</div>
  </div>

  <div class="area-box" id="boxBig">
    <div class="grid-frame">
      <div class="grid grid-big">
        <div class="tile highlight"></div>
        <div class="tile highlight"></div>
        <div class="tile highlight"></div>
        <div class="tile highlight"></div>
        <div class="tile highlight"></div>
        <div class="tile highlight"></div>
        <div class="tile highlight"></div>
        <div class="tile highlight"></div>
        <div class="tile highlight"></div>
        <div class="tile highlight"></div>
        <div class="tile highlight"></div>
        <div class="tile highlight"></div>
        <div class="tile highlight"></div>
        <div class="tile highlight"></div>
        <div class="tile highlight"></div>
        <div class="tile highlight"></div>
      </div>
    </div>
    <div class="label-title">Big Area</div>
    <div class="label-sub">16 units covered</div>
  </div>
</div>

<script>
  const btnBoth = document.getElementById('btnBoth');
  const btnSmall = document.getElementById('btnSmall');
  const btnBig = document.getElementById('btnBig');
  const boxSmall = document.getElementById('boxSmall');
  const boxBig = document.getElementById('boxBig');

  function setMode(mode) {
    btnBoth.classList.toggle('active', mode === 'both');
    btnSmall.classList.toggle('active', mode === 'small');
    btnBig.classList.toggle('active', mode === 'big');

    boxSmall.classList.toggle('dimmed', mode === 'big');
    boxBig.classList.toggle('dimmed', mode === 'small');
  }

  btnBoth.addEventListener('click', () => setMode('both'));
  btnSmall.addEventListener('click', () => setMode('small'));
  btnBig.addEventListener('click', () => setMode('big'));
</script>

</body>
</html>

A shape that covers a lot of flat space has a **big area**, while a shape that covers only a little space has a **small area**.

What happens when we compare different objects on top of the same table?

Imagine placing a large storybook and a tiny sticky note on your desk.

<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<meta name="aspect-ratio" content="4:3">
<title>Coverage: Big vs Small Area</title>
<style>
  * { box-sizing: border-box; margin: 0; padding: 0; }
  body {
    font-family: system-ui, -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, sans-serif;
    background: #ffffff;
    color: #1e2945;
    display: flex;
    flex-direction: column;
    align-items: center;
    justify-content: space-between;
    padding: 12px;
    min-height: 100%;
    user-select: none;
  }

  .nav-tabs {
    display: flex;
    gap: 8px;
    width: 100%;
    max-width: 420px;
    margin-bottom: 8px;
  }

  .btn {
    flex: 1;
    padding: 8px 10px;
    font-size: 14px;
    font-weight: 600;
    border: 2px solid #e2e8f0;
    border-radius: 10px;
    background: #f8f9fa;
    color: #64748b;
    cursor: pointer;
    transition: all 0.2s ease;
    text-align: center;
  }

  .btn.active {
    background: #ffffff;
    color: #0f172a;
    border-color: #eab308;
    box-shadow: 0 2px 8px rgba(234, 179, 8, 0.2);
  }

  .desk-wrapper {
    position: relative;
    width: 100%;
    max-width: 420px;
    aspect-ratio: 4 / 3;
    background: #f8fafc;
    border: 2px solid #cbd5e1;
    border-radius: 12px;
    padding: 12px;
    display: grid;
    grid-template-columns: repeat(6, 1fr);
    grid-template-rows: repeat(4, 1fr);
    gap: 6px;
  }

  .grid-cell {
    background: #ffffff;
    border: 1px dashed #e2e8f0;
    border-radius: 6px;
    transition: background 0.3s ease, border-color 0.3s ease;
  }

  .item {
    position: absolute;
    border-radius: 8px;
    display: flex;
    flex-direction: column;
    align-items: center;
    justify-content: center;
    font-weight: 700;
    box-shadow: 0 4px 12px rgba(0,0,0,0.08);
    transition: all 0.35s cubic-bezier(0.4, 0, 0.2, 1);
  }

  .book {
    left: 12px;
    top: 12px;
    width: calc(66.66% - 14px);
    height: calc(75% - 14px);
    background: #0284c7;
    color: #ffffff;
    border-left: 6px solid #0369a1;
  }

  .note {
    right: 12px;
    bottom: 12px;
    width: calc(16.66% - 8px);
    height: calc(25% - 8px);
    background: #fde047;
    color: #854d0e;
    border-bottom: 3px solid #eab308;
  }

  .item.hidden {
    opacity: 0;
    transform: scale(0.85);
    pointer-events: none;
  }

  .badge {
    font-size: 13px;
    margin-top: 4px;
    padding: 2px 8px;
    border-radius: 999px;
    background: rgba(255, 255, 255, 0.25);
  }

  .note .badge {
    display: none;
  }

  .status-bar {
    width: 100%;
    max-width: 420px;
    margin-top: 8px;
    display: flex;
    justify-content: space-between;
    font-size: 13px;
    font-weight: 600;
    color: #64748b;
    padding: 0 4px;
  }
</style>
</head>
<body>

<div class="nav-tabs">
  <button class="btn" onclick="showMode('book')">📖 Book</button>
  <button class="btn" onclick="showMode('note')">🟨 Note</button>
  <button class="btn active" onclick="showMode('both')">⇄ Compare</button>
</div>

<div class="desk-wrapper" id="desk">
  
  <div class="grid-cell"></div><div class="grid-cell"></div><div class="grid-cell"></div>
  <div class="grid-cell"></div><div class="grid-cell"></div><div class="grid-cell"></div>
  <div class="grid-cell"></div><div class="grid-cell"></div><div class="grid-cell"></div>
  <div class="grid-cell"></div><div class="grid-cell"></div><div class="grid-cell"></div>
  <div class="grid-cell"></div><div class="grid-cell"></div><div class="grid-cell"></div>
  <div class="grid-cell"></div><div class="grid-cell"></div><div class="grid-cell"></div>
  <div class="grid-cell"></div><div class="grid-cell"></div><div class="grid-cell"></div>
  <div class="grid-cell"></div><div class="grid-cell"></div><div class="grid-cell"></div>

  
  <div class="item book" id="bookItem">
    <span>Storybook</span>
    <span class="badge">Big Area</span>
  </div>

  <div class="item note" id="noteItem">
    <span>Note</span>
  </div>
</div>

<div class="status-bar">
  <span>Desk Surface</span>
  <span id="coverageLabel">Big vs Small Area</span>
</div>

<script>
  function showMode(mode) {
    const book = document.getElementById('bookItem');
    const note = document.getElementById('noteItem');
    const label = document.getElementById('coverageLabel');
    const buttons = document.querySelectorAll('.btn');

    buttons.forEach((btn, idx) => {
      btn.classList.toggle('active', 
        (mode === 'book' && idx === 0) || 
        (mode === 'note' && idx === 1) || 
        (mode === 'both' && idx === 2)
      );
    });

    if (mode === 'book') {
      book.classList.remove('hidden');
      note.classList.add('hidden');
      label.textContent = 'Big Coverage (12 Units)';
    } else if (mode === 'note') {
      book.classList.add('hidden');
      note.classList.remove('hidden');
      label.textContent = 'Small Coverage (1 Unit)';
    } else {
      book.classList.remove('hidden');
      note.classList.remove('hidden');
      label.textContent = 'Big vs Small Area';
    }
  }
</script>

</body>
</html>

The storybook covers way more of the desk than the sticky note, so the book has a larger area.

Look around your room right now — can you find one object that covers a big area and one that covers a tiny area?

math

Understanding Surface and Coverage: Big and Small Areas. Explain that area is the amount of flat space or surface a shape covers.

Early Level & KS1: Measuring and Comparing Size and Surfaces

Early Years Foundation & Primary 1: Exploring Covering and Surface Activities

Early Primary Mathematics: Comparing Surface Area and Tiling Shapes

Teaching area at Early Level (P1 / ages 4-6) requires a concrete-to-representational progression. Start with physical tactile experiences: covering table spaces with handprints, felt squares, or sticky notes to establish the concept of 'surface coverage.' Avoid abstract formulaic calculations; focus on direct comparison (superimposing) and non-standard uniform units (tiling). Reinforce the essential rules of valid tiling: using uniform-sized units, leaving zero gaps, and allowing zero overlaps.

Understanding Surface and Coverage: Big and Small Areas

What is Area?

Comparing Two Objects

Key takeaways