<!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>Times as Many Bar Model</title>
  <style>
    * {
      box-sizing: border-box;
      margin: 0;
      padding: 0;
    }

    body {
      width: 100%;
      min-height: 100%;
      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: center;
      padding: 16px 12px;
      user-select: none;
    }

    .main-layout {
      width: 100%;
      max-width: 520px;
      display: flex;
      flex-direction: column;
      gap: 16px;
    }

    /* Step Navigation Bar */
    .controls {
      display: flex;
      align-items: center;
      justify-content: space-between;
      gap: 8px;
    }

    .btn-step {
      background: #f1f5f9;
      border: 1px solid #cbd5e1;
      border-radius: 8px;
      padding: 6px 14px;
      font-size: 14px;
      font-weight: 600;
      color: #334155;
      cursor: pointer;
      display: inline-flex;
      align-items: center;
      gap: 4px;
      transition: background 0.2s, border-color 0.2s;
    }

    .btn-step:hover {
      background: #e2e8f0;
      border-color: #94a3b8;
    }

    .step-pills {
      display: flex;
      gap: 6px;
    }

    .pill {
      width: 28px;
      height: 28px;
      border-radius: 50%;
      border: 2px solid #e2e8f0;
      background: #fff;
      font-size: 13px;
      font-weight: 700;
      color: #64748b;
      display: flex;
      align-items: center;
      justify-content: center;
      cursor: pointer;
      transition: all 0.2s ease;
    }

    .pill.active {
      background: #2563eb;
      border-color: #2563eb;
      color: #ffffff;
    }

    /* Diagram Rows */
    .diagram-area {
      display: flex;
      flex-direction: column;
      gap: 20px;
      padding: 8px 4px 4px;
    }

    .row-container {
      display: flex;
      align-items: center;
      gap: 12px;
      width: 100%;
    }

    .person-label {
      width: 54px;
      font-size: 15px;
      font-weight: 700;
      color: #1e2945;
      text-align: right;
      flex-shrink: 0;
    }

    .bars-track {
      flex: 1;
      display: grid;
      grid-template-columns: repeat(4, 1fr);
      gap: 6px;
      align-items: center;
    }

    /* Bar Segments */
    .bar-seg {
      height: 52px;
      border-radius: 8px;
      display: flex;
      flex-direction: column;
      align-items: center;
      justify-content: center;
      font-weight: 800;
      font-size: 18px;
      border: 2px solid transparent;
      transition: transform 0.3s ease, opacity 0.3s ease, box-shadow 0.3s ease;
      opacity: 0.15;
    }

    .bar-seg.visible {
      opacity: 1;
    }

    .bar-seg.highlight {
      box-shadow: 0 0 0 3px #fbbf24;
    }

    /* Sam's Green Bar */
    .seg-green {
      background: #dcfce7;
      border-color: #10b981;
      color: #047857;
    }

    .sub-label {
      font-size: 11px;
      font-weight: 600;
      opacity: 0.85;
    }

    /* Alex's Purple Bar */
    .seg-purple {
      background: #ede9fe;
      border-color: #8b5cf6;
      color: #6d28d9;
    }

    /* Multiplier Tag */
    .multiplier-tag {
      font-size: 12px;
      font-weight: 700;
      color: #7c3aed;
      background: #f5f3ff;
      border: 1px solid #ddd6fe;
      border-radius: 6px;
      padding: 3px 8px;
      margin-left: auto;
      opacity: 0;
      transition: opacity 0.3s ease;
    }

    .multiplier-tag.visible {
      opacity: 1;
    }

    /* Equation & Bracket Section */
    .equation-container {
      display: flex;
      flex-direction: column;
      align-items: center;
      margin-left: 66px; /* align with track */
      opacity: 0;
      transform: translateY(6px);
      transition: opacity 0.3s ease, transform 0.3s ease;
    }

    .equation-container.visible {
      opacity: 1;
      transform: translateY(0);
    }

    .bracket-svg {
      width: 100%;
      height: 18px;
      overflow: visible;
    }

    .equation-badge {
      margin-top: 8px;
      background: #f8fafc;
      border: 2px solid #8b5cf6;
      border-radius: 10px;
      padding: 8px 18px;
      display: inline-flex;
      align-items: center;
      gap: 8px;
      font-size: 18px;
      font-weight: 800;
      color: #1e2945;
      box-shadow: 0 2px 8px rgba(139, 92, 246, 0.12);
    }

    .eq-part {
      color: #6d28d9;
    }

    .eq-total {
      color: #059669;
      background: #dcfce7;
      border-radius: 6px;
      padding: 2px 8px;
    }
  </style>
</head>
<body>

  <div class="main-layout">
    
    <div class="diagram-area">
      
      <div class="row-container">
        <div class="person-label">Sam</div>
        <div class="bars-track">
          <div class="bar-seg seg-green visible" id="samBar">
            <span>4</span>
            <span class="sub-label">stickers</span>
          </div>
          <div></div><div></div><div></div>
        </div>
      </div>

      
      <div class="row-container">
        <div class="person-label">Alex</div>
        <div class="bars-track">
          <div class="bar-seg seg-purple" id="alex1">4</div>
          <div class="bar-seg seg-purple" id="alex2">4</div>
          <div class="bar-seg seg-purple" id="alex3">4</div>
          <div class="bar-seg seg-purple" id="alex4">4</div>
        </div>
      </div>

      
      <div class="equation-container" id="eqBlock">
        <svg class="bracket-svg" viewBox="0 0 100 20" preserveAspectRatio="none">
          <path d="M 1 2 Q 1 14 8 14 L 46 14 Q 50 14 50 20 Q 50 14 54 14 L 92 14 Q 99 14 99 2"
                fill="none" stroke="#8b5cf6" stroke-width="2" stroke-linecap="round" vector-effect="non-scaling-stroke" />
        </svg>
        <div class="equation-badge">
          <span class="eq-part">4 × 4</span>
          <span>=</span>
          <span class="eq-total">16 stickers</span>
        </div>
      </div>
    </div>

    
    <div class="controls">
      <button class="btn-step" id="prevBtn" onclick="prevStep()">← Back</button>
      <div class="step-pills">
        <div class="pill active" onclick="setStep(0)">1</div>
        <div class="pill" onclick="setStep(1)">2</div>
        <div class="pill" onclick="setStep(2)">3</div>
      </div>
      <button class="btn-step" id="nextBtn" onclick="nextStep()">Next →</button>
    </div>
  </div>

  <script>
    let step = 0;
    const maxStep = 2;

    const pills = document.querySelectorAll('.pill');
    const alexSegs = [
      document.getElementById('alex1'),
      document.getElementById('alex2'),
      document.getElementById('alex3'),
      document.getElementById('alex4')
    ];
    const eqBlock = document.getElementById('eqBlock');
    const samBar = document.getElementById('samBar');

    function updateView() {
      pills.forEach((p, idx) => p.classList.toggle('active', idx === step));

      if (step === 0) {
        samBar.classList.add('highlight');
        alexSegs.forEach(seg => seg.classList.remove('visible'));
        eqBlock.classList.remove('visible');
      } else if (step === 1) {
        samBar.classList.remove('highlight');
        alexSegs.forEach(seg => seg.classList.add('visible'));
        eqBlock.classList.remove('visible');
      } else if (step === 2) {
        samBar.classList.remove('highlight');
        alexSegs.forEach(seg => seg.classList.add('visible'));
        eqBlock.classList.add('visible');
      }

      document.getElementById('prevBtn').style.opacity = step === 0 ? '0.4' : '1';
      document.getElementById('nextBtn').style.opacity = step === maxStep ? '0.4' : '1';
    }

    function setStep(s) {
      step = s;
      updateView();
    }

    function nextStep() {
      if (step < maxStep) {
        step++;
        updateView();
      }
    }

    function prevStep() {
      if (step > 0) {
        step--;
        updateView();
      }
    }

    // Auto-advance once calmly for pedagogical flow, pausing at the end
    let autoTimer = setInterval(() => {
      if (step < maxStep) {
        step++;
        updateView();
      } else {
        clearInterval(autoTimer);
      }
    }, 3500);

    // Stop auto-timer upon user touch/click
    document.addEventListener('pointerdown', () => clearInterval(autoTimer), { once: true });

    updateView();
  </script>
</body>
</html>

Understanding Times as Many

<!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, BlinkMacSystemFont, "Segoe UI", Roboto, sans-serif;
      color: #1e2945;
      background: transparent;
      display: flex;
      flex-direction: column;
      align-items: center;
      justify-content: center;
      min-height: 100%;
      padding: 12px;
      user-select: none;
    }

    .grid {
      display: grid;
      grid-template-columns: 1fr 1fr;
      gap: 16px;
      width: 100%;
      max-width: 580px;
    }

    .column {
      background: #f8fafc;
      border: 2px solid #e2e8f0;
      border-radius: 14px;
      padding: 16px 12px;
      display: flex;
      flex-direction: column;
      align-items: center;
      gap: 14px;
    }

    .col-title {
      font-size: 15px;
      font-weight: 700;
      text-align: center;
      line-height: 1.2;
    }

    .title-add {
      color: #ea580c;
    }

    .title-mult {
      color: #0284c7;
    }

    .bars-area {
      display: flex;
      flex-direction: column;
      align-items: center;
      justify-content: center;
      gap: 8px;
      width: 100%;
      min-height: 110px;
    }

    .bar-row {
      display: flex;
      align-items: center;
      gap: 4px;
      flex-wrap: wrap;
      justify-content: center;
    }

    .unit-group {
      display: flex;
      gap: 3px;
      padding: 4px;
      border-radius: 8px;
      background: rgba(0, 0, 0, 0.03);
    }

    .unit {
      width: 28px;
      height: 32px;
      border-radius: 6px;
      display: flex;
      align-items: center;
      justify-content: center;
      font-size: 13px;
      font-weight: 700;
      color: #ffffff;
      box-shadow: 0 2px 4px rgba(0, 0, 0, 0.08);
      transition: transform 0.2s ease;
    }

    .unit-base {
      background: #0284c7;
    }

    .unit-add {
      background: #f97316;
    }

    .unit-mult {
      background: #0284c7;
    }

    .symbol {
      font-size: 18px;
      font-weight: 800;
      color: #64748b;
      margin: 0 2px;
    }

    .equation-badge {
      font-size: 18px;
      font-weight: 800;
      padding: 6px 14px;
      border-radius: 20px;
      letter-spacing: 0.5px;
    }

    .eq-add {
      background: #fff7ed;
      color: #ea580c;
      border: 1px solid #ffedd5;
    }

    .eq-mult {
      background: #f0f9ff;
      color: #0284c7;
      border: 1px solid #e0f2fe;
    }

    @media (max-width: 420px) {
      .unit {
        width: 22px;
        height: 26px;
        font-size: 11px;
      }
      .col-title {
        font-size: 13px;
      }
      .equation-badge {
        font-size: 15px;
        padding: 4px 10px;
      }
    }
  </style>
</head>
<body>
  <div class="grid">
    
    <div class="column">
      <div class="col-title title-add">3 More Than 2</div>
      
      <div class="bars-area">
        <div class="bar-row">
          
          <div class="unit-group">
            <div class="unit unit-base">1</div>
            <div class="unit unit-base">2</div>
          </div>
          <span class="symbol">+</span>
          
          <div class="unit-group">
            <div class="unit unit-add">1</div>
            <div class="unit unit-add">2</div>
            <div class="unit unit-add">3</div>
          </div>
        </div>
      </div>

      <div class="equation-badge eq-add">2 + 3 = 5</div>
    </div>

    
    <div class="column">
      <div class="col-title title-mult">3 Times as Many as 2</div>
      
      <div class="bars-area">
        <div class="bar-row">
          
          <div class="unit-group">
            <div class="unit unit-mult">1</div>
            <div class="unit unit-mult">2</div>
          </div>
          <div class="unit-group">
            <div class="unit unit-mult">1</div>
            <div class="unit unit-mult">2</div>
          </div>
          <div class="unit-group">
            <div class="unit unit-mult">1</div>
            <div class="unit unit-mult">2</div>
          </div>
        </div>
      </div>

      <div class="equation-badge eq-mult">3 × 2 = 6</div>
    </div>
  </div>
</body>
</html>

<!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, BlinkMacSystemFont, "Segoe UI", Roboto, sans-serif;
      color: #1e2945;
      background: #ffffff;
      display: flex;
      flex-direction: column;
      align-items: center;
      justify-content: center;
      min-height: 100%;
      padding: 16px 12px;
      user-select: none;
    }

    .diagram {
      width: 100%;
      max-width: 480px;
      display: flex;
      flex-direction: column;
      gap: 20px;
    }

    /* Comparison rows */
    .row-wrap {
      display: flex;
      align-items: center;
      gap: 12px;
    }

    .label {
      width: 54px;
      font-size: 16px;
      font-weight: 700;
      text-align: right;
      flex-shrink: 0;
    }

    .bars-container {
      display: flex;
      width: 100%;
      gap: 6px;
    }

    /* Unit boxes */
    .unit-box {
      flex: 1;
      height: 64px;
      border-radius: 10px;
      display: flex;
      flex-direction: column;
      align-items: center;
      justify-content: center;
      font-weight: 700;
      font-size: 16px;
      gap: 2px;
      transition: all 0.25s ease;
      cursor: pointer;
    }

    .unit-box .num {
      font-size: 18px;
      font-weight: 800;
      line-height: 1;
    }

    .unit-box .icon {
      font-size: 14px;
      line-height: 1;
    }

    /* Leo's bar */
    .leo-bar {
      background: #e0f2fe;
      border: 2px solid #0284c7;
      color: #0369a1;
    }

    /* Maya's boxes */
    .maya-box {
      background: #ffedd5;
      border: 2px solid #ea580c;
      color: #c2410c;
    }

    .maya-box.dimmed {
      opacity: 0.35;
      border-style: dashed;
    }

    /* Bracket & equation area */
    .bracket-area {
      display: flex;
      align-items: flex-start;
      gap: 12px;
    }

    .bracket-spacer {
      width: 54px;
      flex-shrink: 0;
    }

    .bracket-content {
      width: 100%;
      display: flex;
      flex-direction: column;
      align-items: center;
    }

    .bracket-svg {
      width: 100%;
      height: 18px;
      overflow: visible;
    }

    .total-badge {
      margin-top: 6px;
      padding: 6px 14px;
      background: #fff7ed;
      border: 1.5px solid #ea580c;
      border-radius: 20px;
      font-size: 15px;
      font-weight: 800;
      color: #1e2945;
      display: flex;
      align-items: center;
      gap: 6px;
    }

    .highlight {
      color: #ea580c;
    }

    /* Control buttons */
    .controls {
      display: flex;
      justify-content: center;
      gap: 8px;
      margin-top: 4px;
    }

    .step-btn {
      padding: 6px 14px;
      border-radius: 8px;
      border: 1.5px solid #cbd5e1;
      background: #f8fafc;
      color: #1e2945;
      font-size: 13px;
      font-weight: 600;
      cursor: pointer;
      transition: all 0.2s ease;
    }

    .step-btn.active {
      background: #ea580c;
      border-color: #ea580c;
      color: #ffffff;
    }
  </style>
</head>
<body>

  <div class="diagram">
    
    <div class="row-wrap">
      <div class="label" style="color: #0284c7;">Leo</div>
      <div class="bars-container">
        <div class="unit-box leo-bar">
          <span class="num">2</span>
          <span class="icon">📚📚</span>
        </div>
        <div style="flex: 2;"></div>
      </div>
    </div>

    
    <div class="row-wrap">
      <div class="label" style="color: #ea580c;">Maya</div>
      <div class="bars-container">
        <div class="unit-box maya-box" id="box1" onclick="setCount(1)">
          <span class="num">2</span>
          <span class="icon">📚📚</span>
        </div>
        <div class="unit-box maya-box" id="box2" onclick="setCount(2)">
          <span class="num">2</span>
          <span class="icon">📚📚</span>
        </div>
        <div class="unit-box maya-box" id="box3" onclick="setCount(3)">
          <span class="num">2</span>
          <span class="icon">📚📚</span>
        </div>
      </div>
    </div>

    
    <div class="bracket-area">
      <div class="bracket-spacer"></div>
      <div class="bracket-content">
        <svg class="bracket-svg" viewBox="0 0 300 20" preserveAspectRatio="none">
          <path d="M 4 2 Q 4 12 15 12 L 138 12 Q 150 12 150 19 Q 150 12 162 12 L 285 12 Q 296 12 296 2" 
                fill="none" 
                stroke="#ea580c" 
                stroke-width="2.5" 
                stroke-linecap="round" />
        </svg>
        <div class="total-badge" id="equationText">
          <span><span class="highlight">3</span> groups of <span class="highlight">2</span> = <span class="highlight">6</span> books</span>
        </div>
      </div>
    </div>

    
    <div class="controls">
      <button class="step-btn" id="btn1" onclick="setCount(1)">1 × 2</button>
      <button class="step-btn" id="btn2" onclick="setCount(2)">2 × 2</button>
      <button class="step-btn active" id="btn3" onclick="setCount(3)">3 × 2 = 6</button>
    </div>
  </div>

  <script>
    function setCount(n) {
      for (let i = 1; i <= 3; i++) {
        const box = document.getElementById('box' + i);
        const btn = document.getElementById('btn' + i);
        
        if (i <= n) {
          box.classList.remove('dimmed');
        } else {
          box.classList.add('dimmed');
        }
        
        if (i === n) {
          btn.classList.add('active');
        } else {
          btn.classList.remove('active');
        }
      }

      const eq = document.getElementById('equationText');
      const total = n * 2;
      eq.innerHTML = `<span><span class="highlight">${n}</span> ${n === 1 ? 'group' : 'groups'} of <span class="highlight">2</span> = <span class="highlight">${total}</span> books</span>`;
    }
  </script>
</body>
</html>

<!DOCTYPE html>
<html lang="en">
<head>
  <meta charset="UTF-8">
  <meta name="viewport" content="width=device-width, initial-scale=1.0">
  <title>Two-Step Problem: Multiplication and Addition</title>
  <style>
    * {
      box-sizing: border-box;
      margin: 0;
      padding: 0;
    }
    body {
      font-family: system-ui, -apple-system, BlinkMacSystemFont, 'Segoe UI', Roboto, sans-serif;
      color: #1e2945;
      background: transparent;
      padding: 10px;
      display: flex;
      flex-direction: column;
      align-items: center;
      justify-content: center;
      min-height: 100vh;
    }

    .main-stage {
      width: 100%;
      max-width: 560px;
      display: flex;
      flex-direction: column;
      gap: 10px;
    }

    /* Top visual area */
    .visual-row {
      display: flex;
      flex-direction: column;
      align-items: center;
      justify-content: center;
      gap: 6px;
      width: 100%;
    }

    /* Boxes group */
    .boxes-container {
      display: grid;
      grid-template-columns: repeat(2, 1fr);
      gap: 6px;
      background: #f0f7ff;
      border: 2px solid #bfdbfe;
      border-radius: 12px;
      padding: 6px;
      transition: border-color 0.25s ease, background-color 0.25s ease, box-shadow 0.25s ease;
    }

    .boxes-container.highlighted {
      background: #e0f2fe;
      border-color: #38bdf8;
      box-shadow: 0 0 0 3px rgba(56, 189, 248, 0.25);
    }

    .box-card {
      background: #ffffff;
      border: 1.5px solid #dbeafe;
      border-radius: 8px;
      padding: 4px 6px;
      display: flex;
      flex-direction: column;
      align-items: center;
      gap: 2px;
    }

    .box-title {
      font-size: 11px;
      font-weight: 700;
      color: #2563eb;
      letter-spacing: 0.2px;
    }

    .cupcake-grid {
      display: grid;
      grid-template-columns: repeat(3, 1fr);
      gap: 2px;
      font-size: 15px;
      line-height: 1.1;
      user-select: none;
    }

    .operator-plus {
      font-size: 22px;
      font-weight: 800;
      color: #64748b;
      display: flex;
      align-items: center;
      justify-content: center;
      line-height: 1;
      user-select: none;
      padding: 2px;
    }

    /* Plate group */
    .plate-card {
      background: #fdf2f8;
      border: 2px solid #fbcfe8;
      border-radius: 12px;
      padding: 8px 12px;
      display: flex;
      flex-direction: column;
      align-items: center;
      justify-content: center;
      gap: 4px;
      transition: border-color 0.25s ease, background-color 0.25s ease, box-shadow 0.25s ease;
    }

    .plate-card.highlighted {
      background: #fce7f3;
      border-color: #f472b6;
      box-shadow: 0 0 0 3px rgba(244, 114, 182, 0.25);
    }

    .plate-title {
      font-size: 11px;
      font-weight: 700;
      color: #db2777;
    }

    .plate-cupcakes {
      display: flex;
      gap: 4px;
      font-size: 18px;
      line-height: 1.1;
      background: #ffffff;
      border-radius: 16px;
      padding: 4px 8px;
      border: 1.5px dashed #f472b6;
      user-select: none;
    }

    /* Math Breakdown Panel */
    .calculation-panel {
      display: flex;
      flex-direction: column;
      gap: 6px;
      background: #ffffff;
      border: 1.5px solid #e2e8f0;
      border-radius: 12px;
      padding: 8px 10px;
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      justify-content: space-between;
      gap: 6px;
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      border-radius: 8px;
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      transition: background-color 0.2s ease, border-color 0.2s ease;
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    .step-row.active {
      background: #eff6ff;
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    .step-tag {
      font-size: 11px;
      font-weight: 700;
      padding: 3px 6px;
      border-radius: 5px;
      white-space: nowrap;
      flex-shrink: 0;
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    .tag-blue { background: #dbeafe; color: #1d4ed8; }
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      justify-content: center;
      gap: 8px;
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    .btn-step {
      background: #f1f5f9;
      border: 1.5px solid #cbd5e1;
      color: #475569;
      padding: 6px 12px;
      border-radius: 20px;
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      display: flex;
      align-items: center;
      gap: 5px;
      transition: background-color 0.2s ease, border-color 0.2s ease, color 0.2s ease;
    }

    .btn-step span {
      display: inline-flex;
      align-items: center;
      justify-content: center;
      width: 16px;
      height: 16px;
      border-radius: 50%;
      background: rgba(0, 0, 0, 0.08);
      font-size: 10px;
    }

    .btn-step.active {
      background: #0284c7;
      border-color: #0284c7;
      color: #ffffff;
    }

    .btn-step.active span {
      background: rgba(255, 255, 255, 0.25);
    }

    /* Desktop / Tablet responsive layout */
    @media (min-width: 480px) {
      .visual-row {
        flex-direction: row;
        align-items: center;
        justify-content: center;
        gap: 10px;
      }
      .boxes-container {
        grid-template-columns: repeat(4, 1fr);
        padding: 8px;
        gap: 6px;
      }
      .box-card {
        padding: 6px 8px;
      }
      .plate-card {
        padding: 10px 12px;
        min-height: 90px;
      }
      .operator-plus {
        font-size: 26px;
        padding: 0 4px;
      }
      .step-tag {
        font-size: 12px;
        padding: 3px 8px;
      }
      .step-math {
        font-size: 14.5px;
      }
      .btn-step {
        font-size: 13px;
        padding: 6px 14px;
      }
    }
  </style>
</head>
<body>

  <div class="main-stage">
    
    <div class="visual-row">
      
      <div id="boxesGroup" class="boxes-container highlighted">
        <div class="box-card">
          <span class="box-title">Box 1</span>
          <div class="cupcake-grid">
            <span>🧁</span><span>🧁</span><span>🧁</span>
            <span>🧁</span><span>🧁</span><span>🧁</span>
          </div>
        </div>
        <div class="box-card">
          <span class="box-title">Box 2</span>
          <div class="cupcake-grid">
            <span>🧁</span><span>🧁</span><span>🧁</span>
            <span>🧁</span><span>🧁</span><span>🧁</span>
          </div>
        </div>
        <div class="box-card">
          <span class="box-title">Box 3</span>
          <div class="cupcake-grid">
            <span>🧁</span><span>🧁</span><span>🧁</span>
            <span>🧁</span><span>🧁</span><span>🧁</span>
          </div>
        </div>
        <div class="box-card">
          <span class="box-title">Box 4</span>
          <div class="cupcake-grid">
            <span>🧁</span><span>🧁</span><span>🧁</span>
            <span>🧁</span><span>🧁</span><span>🧁</span>
          </div>
        </div>
      </div>

      <div class="operator-plus">+</div>

      
      <div id="plateGroup" class="plate-card">
        <span class="plate-title">Plate</span>
        <div class="plate-cupcakes">
          <span>🧁</span><span>🧁</span><span>🧁</span>
        </div>
      </div>
    </div>

    
    <div class="calculation-panel">
      <div id="step1Row" class="step-row active">
        <span class="step-tag tag-blue">Step 1: Boxes</span>
        <span class="step-math">4 × 6 = 24 cupcakes</span>
      </div>
      <div id="step2Row" class="step-row">
        <span class="step-tag tag-pink">Step 2: Add Loose</span>
        <span class="step-math">24 + 3 = 27 total</span>
      </div>
    </div>

    
    <div class="controls">
      <button id="btn1" class="btn-step active" onclick="showStep(1)">
        <span>1</span> Multiply Boxes
      </button>
      <button id="btn2" class="btn-step" onclick="showStep(2)">
        <span>2</span> Add Total
      </button>
    </div>
  </div>

  <script>
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      const plate = document.getElementById('plateGroup');
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        b1.classList.remove('active');
        b2.classList.add('active');
      }
    }
  </script>
</body>
</html>

Solving Two-Step Problems with Multiplication and Addition

<!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>
    * {
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      font-size: 13px;
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      background: #ffffff;
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    }
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      transition: opacity 0.3s ease, transform 0.3s ease;
    }
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      font-weight: 700;
      letter-spacing: 0.5px;
      text-anchor: middle;
    }
  </style>
</head>
<body>
  <div class="diagram-root">
    <div class="controls" role="tablist">
      <button class="btn active" id="btn-step1" onclick="setStep(1)">Step 1: Packs</button>
      <button class="btn" id="btn-step2" onclick="setStep(2)">Step 2: Total</button>
      <button class="btn" id="btn-all" onclick="setStep(3)">All Steps</button>
    </div>

    <svg viewBox="0 0 540 280">
      
      <g id="top-labels">
        <text x="195" y="24" class="tag-label" fill="#0284c7">3 PACKS OF 8</text>
        <text x="475" y="24" class="tag-label" fill="#ea580c">SINGLES</text>
      </g>

      
      
      <g id="bar-packs" class="bar-seg">
        
        <rect x="30" y="36" width="108" height="52" rx="8" fill="#06b6d4" />
        <text x="84" y="62" class="badge-text">8</text>

        
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        <text x="195" y="62" class="badge-text">8</text>

        
        <rect x="252" y="36" width="108" height="52" rx="8" fill="#06b6d4" />
        <text x="306" y="62" class="badge-text">8</text>
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      <g id="bar-loose" class="bar-seg">
        <rect x="363" y="36" width="147" height="52" rx="8" fill="#f97316" />
        <text x="436.5" y="62" class="badge-text">5</text>
      </g>

      
      <g id="group-step1" class="step-group">
        <path class="bracket bracket-step1" d="M 32 100 Q 32 114 46 114 L 181 114 Q 195 114 195 128 Q 195 114 209 114 L 346 114 Q 360 114 360 100" />
        <g transform="translate(195, 146)">
          <rect x="-105" y="-12" width="210" height="42" rx="8" fill="#f0f9ff" stroke="#bae6fd" stroke-width="1.5" />
          <text x="0" y="6" class="formula-title color-cyan-txt">Step 1: In Packs</text>
          <text x="0" y="24" class="formula-math color-cyan-txt">3 × 8 = 24</text>
        </g>
      </g>

      
      <g id="group-step2" class="step-group">
        <path class="bracket bracket-step2" d="M 32 198 Q 32 212 46 212 L 256 212 Q 270 212 270 226 Q 270 212 284 212 L 496 212 Q 510 212 510 198" />
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          <text x="0" y="6" class="formula-title color-total-txt">Step 2: Total Pencils</text>
          <text x="0" y="24" class="formula-math color-total-txt">24 + 5 = 29</text>
        </g>
      </g>
    </svg>
  </div>

  <script>
    function setStep(step) {
      const btn1 = document.getElementById('btn-step1');
      const btn2 = document.getElementById('btn-step2');
      const btnAll = document.getElementById('btn-all');

      const packs = document.getElementById('bar-packs');
      const loose = document.getElementById('bar-loose');
      const group1 = document.getElementById('group-step1');
      const group2 = document.getElementById('group-step2');

      btn1.classList.toggle('active', step === 1);
      btn2.classList.toggle('active', step === 2);
      btnAll.classList.toggle('active', step === 3);

      if (step === 1) {
        packs.classList.remove('dimmed');
        packs.classList.add('highlight');
        loose.classList.add('dimmed');
        loose.classList.remove('highlight');
        group1.classList.remove('dimmed');
        group2.classList.add('dimmed');
      } else if (step === 2) {
        packs.classList.remove('dimmed', 'highlight');
        loose.classList.remove('dimmed');
        loose.classList.add('highlight');
        group1.classList.add('dimmed');
        group2.classList.remove('dimmed');
      } else {
        packs.classList.remove('dimmed', 'highlight');
        loose.classList.remove('dimmed', 'highlight');
        group1.classList.remove('dimmed');
        group2.classList.remove('dimmed');
      }
    }

    // Initialize with Step 1 active
    setStep(1);
  </script>
</body>
</html>

购物情境中的两步加减混合实际问题

乘加与乘减两步实际问题的分析与解答

除加与除减两步实际问题的分析与解答

含有小括号的实际问题分析与综合列式

归一问题：先求单一量再求总量

反归一问题：先求单一量再求数量

归总问题：先求总量再求每份数或份数

三步四则混合运算实际问题的分步剖析

math

四则混合运算与多步实际问题解决

购物预算中的估算：往大估与往小估的选择

载重与容纳问题中的估算策略选择

实际情境中选择合适单位进行快速估算

估算结果的合理性分析与反思

生活情境中的估算策略与应用

Solving Add To and Take From Word Problems with Unknown Start

Solving Comparison Word Problems with More and Fewer

Writing Equations with a Letter or Box for Unknown Quantities

Two-Step Word Problems Combining Addition and Subtraction Within 100

Solving Multi-Step Addition and Subtraction Word Problems Within 1,000

Checking Word Problem Solutions with Inverse Operations

One-Step and Two-Step Addition and Subtraction Word Problems

Résoudre des problèmes additifs en deux étapes

Résoudre un problème : calculer le total dépensé puis la monnaie restante

Résoudre des problèmes avec deux retraits successifs

Résoudre des problèmes multiplicatifs « parties-tout » en une étape

Résoudre des problèmes de disposition en lignes et colonnes

Résoudre des problèmes de comparaison multiplicative

Distinguer une situation additive d'une situation multiplicative au CE1

Résoudre un problème : multiplication puis addition

Résoudre des problèmes mixtes associant multiplication et soustraction

Résoudre un problème : deux multiplications puis leur somme

Résoudre des problèmes mixtes associant addition et multiplication

Résolution de problèmes au CE1 : étapes multiples, multiplication et problèmes mixtes

Résoudre des problèmes de quadrillages (lignes et colonnes)

Résoudre des problèmes de prix pour plusieurs articles identiques

Résolution de problèmes multiplicatifs en 1 étape

Problème mixte : addition préalable puis multiplication

Problème mixte : deux achats groupés puis calcul du total

Problème mixte : deux achats groupés puis comparaison

Vérifier la vraisemblance de la solution d'un problème mixte

Résolution de problèmes mixtes en 2 étapes

Résoudre des problèmes mettant en jeu des produits cartésiens

Résoudre des problèmes mixtes en trois étapes au CE2

Résoudre des problèmes multiplicatifs, cartésiens et mixtes au CE2

Dodawanie trzech i więcej liczb

Obliczenia typu 250 + 50, 180 – 30

Własności dodawania – przemienność i łączność

Sprawdzanie dodawania odejmowaniem

Sprawdzanie odejmowania dodawaniem

Szacowanie sum i różnic

Równania z okienkiem – dodawanie i odejmowanie

Zadania tekstowe – dodawanie i odejmowanie

Sprawdzenie – dodawanie i odejmowanie

Sprawność w dodawaniu i odejmowaniu – zastosowania

Résoudre des problèmes de rangées et de quadrillages rectangulaires

Résoudre des problèmes de combinaisons et de produits cartésiens

Représenter un produit cartésien par un arbre de choix ou un tableau

Problèmes multiplicatifs, comparaisons multiplicatives et produits cartésiens

Recognising Equal Groups for Multiplication

Connecting Repeated Addition to Equal Groups

Writing Multiplication Sentences with the × Symbol

Representing Multiplication with Arrays

Showing That Multiplication Is Commutative

Mastering the 2 Times Table

Identifying Odd and Even Numbers

Mastering the 5 Times Table

Mastering the 10 Times Table

Solving Multiplication Word Problems

Multiplication Concepts & Times Tables

Résoudre des problèmes additifs en trois étapes

Résoudre des problèmes mixtes en trois étapes

Trier les données utiles et inutiles dans un problème complexe

Problèmes mixtes et résolution à étapes multiples

Understanding Division as Equal Sharing

Understanding Division as Grouping

Writing Division Sentences with the ÷ Symbol

Demonstrating That Division Is Not Commutative

Dividing by 2 Using Halving

Dividing by 5

Dividing by 10

Multiplication and Division Fact Families (2, 5, 10)

Finding Missing Numbers in Multiplication and Division

Solving Division Word Problems

Division Concepts & Inverse Relationships

Multiplying Single Digits by 10 and 100

Multiplying Single Digits by Multiples of Ten

Multiplying Single Digits by Multiples of 100

Solving Place Value Scaling Word Problems

Multiplying by Tens and Hundreds

Szacowanie iloczynów

Równania z okienkiem – mnożenie

Równania z okienkiem – dzielenie

Zadania tekstowe – mnożenie

Wiązki między mnożeniem a dodawaniem

Sprawdzenie – mnożenie

Zastosowanie mnożenia w zadaniach

加减乘除四则运算的现实意义与关系梳理

同级运算的运算顺序：只含加减或只含乘除从左往右

两级运算的运算顺序：先乘除后加减

含有小括号的混合运算：先算小括号里面的

含有中括号的混合运算与层级计算顺序

脱式计算的书写规范与等号对齐要求

将分步算式列成综合算式（巧用括号）

归总问题：先求总量再求每份量或份数

相遇问题：速度和×相遇时间=总路程模型

三步计算实际问题的综合分析法与线段图分析

整数四则混合运算与两步三步问题解决

Solving Two-Step Problems with Multiplication and Subtraction

Multi-Step Problems Combining Division and Addition or Subtraction

Solving Multi-Step Word Problems with All Four Operations

Interpreting Remainders and Reasonableness in Word Problems

Multi-Step Mixed Operation Word Problems

Dzielenie liczb dwucyfrowych przez jednocyfrowe

Dzielenie pisemne przez liczbę jednocyfrową

Dzielenie liczb z zerami na końcu

Zadania tekstowe – dzielenie

Dzielenie pisemne i zadania tekstowe

Writing Multiplication Equations From Comparison Statements

Multi-Step Problems: Adding and Multiplying to Compare

Solving Constant Unit Rate Problems

Finding Combinations Using Cartesian Products and Tree Diagrams

Rates, Multiplicative Comparisons, and Cartesian Products

Recognising British Coins

Recognising British Notes

Matching Coins and Notes to Values

Counting Mixed Coins

Making Amounts with Coin Combinations

Recognising and Counting British Money

La multiplicación como suma repetida de grupos iguales

El signo por y la frase multiplicativa

Modelado de multiplicaciones con arreglos rectangulares

Propiedad conmutativa en arreglos rectangulares

Multiplicar por cero y por uno

Conceptos fundamentales de la multiplicación: grupos y arreglos

Comparing Prices in Pounds

Adding Money Amounts

Subtracting Money Amounts

Calculating Change

Money Word Problems

Two-Step Money Problems

Money Calculations and Transactions

Tabla de multiplicar del dos y el doble

Tabla de multiplicar del cinco

Tabla de multiplicar del diez

Tabla de multiplicar del tres y el triple

Tabla de multiplicar del cuatro: doble del doble

Tabla de multiplicar del seis y del siete

Tabla de multiplicar del ocho y del nueve

Uso de la tabla pitagórica

Problemas multiplicativos de grupos iguales

Problemas de filas y columnas en contextos reales

Construcción y aplicación de las tablas de multiplicar

Solving Additive Problem Situations

Solving Multiplicative Problem Situations

Choosing the Right Operation

Representing Problems with Number Sentences

Interpreting Solutions in Context

Communicating Solutions in Terms of the Situation

Solving Multi-Step Word Problems

Shopping Problem Scenarios

Comparison Word Problems: More and Less

Mathematical Problem Modelling

Wykorzystywanie nabytych umiejętności do rozwiązywania problemów

Od problemu do rozwiązania

Czytanie zadania – co wiem, co szukam

Rysunek pomocniczy do zadania

Wybór działania do zadania

Strategie rozwiązywania zadań tekstowych

Multiplicación por decenas y centenas exactas

Propiedad distributiva de la multiplicación respecto a la suma

Multiplicación de dos cifras por una cifra sin reagrupar

Multiplicación de dos cifras por una cifra con reagrupación

Multiplicación de tres cifras por una cifra sin reagrupar

Multiplicación de tres cifras por una cifra con reagrupación

Modelo de áreas rectangulares para multiplicar

Estimación de productos redondeando a la decena

Problemas multiplicativos de comparación: tantas veces más

Problemas de dos pasos combinando adición y multiplicación

Multiplicación por varias cifras y resolución de problemas

Zadania jednoetapowe – dodawanie i odejmowanie

Zadania jednoetapowe – mnożenie i dzielenie

Zadania dwuetapowe – wprowadzenie

Zadania dwuetapowe – ćwiczenia

Równanie z okienkiem w zadaniu

Zadania tekstowe jedno- i dwuetapowe

La división como reparto equitativo

La división como agrupamiento o medida

El signo de división y la frase numérica

Términos de la división: dividendo, divisor, cociente y residuo

La división como resta repetida

Relación entre multiplicación y división: familias de factores

Conceptos fundamentales de la división

Układanie własnych zadań tekstowych

Tworzenie zadań i zadania nietypowe

OGM.3.OA.7

Aligned learning resources

Related diagrams