<!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;
      background: #ffffff;
      color: #1e2945;
      padding: 12px;
      display: flex;
      flex-direction: column;
      justify-content: center;
      gap: 14px;
      min-height: 100%;
    }

    .row-card {
      display: flex;
      flex-direction: column;
      gap: 8px;
      padding: 10px 12px;
      border-radius: 12px;
    }

    .row-equal {
      background: #f0fdf4;
      border: 1.5px solid #bbf7d0;
    }

    .row-unequal {
      background: #fef2f2;
      border: 1.5px solid #fecaca;
    }

    .header-pill {
      display: inline-flex;
      align-items: center;
      gap: 6px;
      font-size: 15px;
      font-weight: 700;
      width: fit-content;
    }

    .badge-equal {
      color: #15803d;
    }

    .badge-unequal {
      color: #b91c1c;
    }

    .icon-badge {
      display: inline-flex;
      align-items: center;
      justify-content: center;
      width: 22px;
      height: 22px;
      border-radius: 50%;
      font-size: 13px;
      font-weight: 900;
      color: #ffffff;
    }

    .icon-check {
      background: #16a34a;
    }

    .icon-x {
      background: #dc2626;
    }

    .shapes-container {
      display: flex;
      justify-content: space-around;
      align-items: center;
      gap: 12px;
    }

    .shape-wrapper {
      flex: 1;
      display: flex;
      justify-content: center;
      align-items: center;
      max-width: 140px;
    }

    svg {
      width: 100%;
      height: auto;
      max-height: 95px;
      display: block;
      filter: drop-shadow(0 1px 2px rgba(0, 0, 0, 0.06));
    }

    .part {
      transition: opacity 0.2s ease;
      cursor: pointer;
    }

    .part:hover {
      opacity: 0.82;
    }

    .cut-line {
      stroke: #1e2945;
      stroke-width: 2.5;
      stroke-linecap: round;
    }

    .shape-border {
      stroke: #1e2945;
      stroke-width: 2.5;
      fill: none;
    }
  </style>
</head>
<body>

  
  <div class="row-card row-equal">
    <div class="header-pill badge-equal">
      <span class="icon-badge icon-check">✓</span>
      4 Equal Parts = Fourths
    </div>
    <div class="shapes-container">
      
      <div class="shape-wrapper">
        <svg viewBox="0 0 100 100" aria-label="Circle divided into four equal fourths">
          <path class="part" d="M50,50 L50,6 A44,44 0 0,1 94,50 Z" fill="#60a5fa" />
          <path class="part" d="M50,50 L94,50 A44,44 0 0,1 50,94 Z" fill="#34d399" />
          <path class="part" d="M50,50 L50,94 A44,44 0 0,1 6,50 Z" fill="#fbbf24" />
          <path class="part" d="M50,50 L6,50 A44,44 0 0,1 50,6 Z" fill="#f472b6" />
          <line class="cut-line" x1="50" y1="6" x2="50" y2="94" />
          <line class="cut-line" x1="6" y1="50" x2="94" y2="50" />
          <circle class="shape-border" cx="50" cy="50" r="44" />
        </svg>
      </div>

      
      <div class="shape-wrapper">
        <svg viewBox="0 0 110 80" aria-label="Rectangle divided into four equal fourths">
          <rect class="part" x="5" y="5" width="50" height="35" rx="3" fill="#f472b6" />
          <rect class="part" x="55" y="5" width="50" height="35" rx="3" fill="#60a5fa" />
          <rect class="part" x="5" y="40" width="50" height="35" rx="3" fill="#fbbf24" />
          <rect class="part" x="55" y="40" width="50" height="35" rx="3" fill="#34d399" />
          <line class="cut-line" x1="5" y1="40" x2="105" y2="40" />
          <line class="cut-line" x1="55" y1="5" x2="55" y2="75" />
          <rect class="shape-border" x="5" y="5" width="100" height="70" rx="3" />
        </svg>
      </div>
    </div>
  </div>

  
  <div class="row-card row-unequal">
    <div class="header-pill badge-unequal">
      <span class="icon-badge icon-x">✕</span>
      4 Unequal Parts = NOT Fourths
    </div>
    <div class="shapes-container">
      
      <div class="shape-wrapper">
        <svg viewBox="0 0 100 100" aria-label="Circle divided unequally with parallel lines">
          <defs>
            <clipPath id="circle-clip">
              <circle cx="50" cy="50" r="44" />
            </clipPath>
          </defs>
          <g clip-path="url(#circle-clip)">
            <rect class="part" x="0" y="0" width="26" height="100" fill="#f472b6" />
            <rect class="part" x="26" y="0" width="22" height="100" fill="#60a5fa" />
            <rect class="part" x="48" y="0" width="30" height="100" fill="#fbbf24" />
            <rect class="part" x="78" y="0" width="22" height="100" fill="#34d399" />
            <line class="cut-line" x1="26" y1="0" x2="26" y2="100" />
            <line class="cut-line" x1="48" y1="0" x2="48" y2="100" />
            <line class="cut-line" x1="78" y1="0" x2="78" y2="100" />
          </g>
          <circle class="shape-border" cx="50" cy="50" r="44" />
        </svg>
      </div>

      
      <div class="shape-wrapper">
        <svg viewBox="0 0 110 80" aria-label="Rectangle divided into four mismatched unequal pieces">
          <defs>
            <clipPath id="rect-clip">
              <rect x="5" y="5" width="100" height="70" rx="3" />
            </clipPath>
          </defs>
          <g clip-path="url(#rect-clip)">
            <rect class="part" x="5" y="5" width="20" height="70" fill="#f472b6" />
            <rect class="part" x="25" y="5" width="80" height="30" fill="#60a5fa" />
            <rect class="part" x="25" y="35" width="32" height="40" fill="#fbbf24" />
            <rect class="part" x="57" y="35" width="48" height="40" fill="#34d399" />
            <line class="cut-line" x1="25" y1="5" x2="25" y2="75" />
            <line class="cut-line" x1="25" y1="35" x2="105" y2="35" />
            <line class="cut-line" x1="57" y1="35" x2="57" y2="75" />
          </g>
          <rect class="shape-border" x="5" y="5" width="100" height="70" rx="3" />
        </svg>
      </div>
    </div>
  </div>

</body>
</html>

Partitioning a Whole Object into Equal Parts

<!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 {
      width: 100%;
      height: 100%;
      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: space-between;
      padding: 16px 12px;
      overflow-x: hidden;
    }
    .diagram-stage {
      width: 100%;
      max-width: 480px;
      display: flex;
      justify-content: space-around;
      align-items: center;
      gap: 16px;
      margin: auto 0;
    }
    .square-card {
      display: flex;
      flex-direction: column;
      align-items: center;
      gap: 8px;
      flex: 1;
      max-width: 180px;
    }
    .shape-container {
      position: relative;
      width: 100%;
      aspect-ratio: 1 / 1;
      border: 3px solid #1e2945;
      border-radius: 8px;
      overflow: hidden;
      background: #f8fafc;
    }
    svg {
      width: 100%;
      height: 100%;
      display: block;
    }
    .label-title {
      font-size: 15px;
      font-weight: 700;
      color: #1e2945;
      letter-spacing: -0.2px;
    }
    .label-badge {
      font-size: 13px;
      font-weight: 600;
      background: #f1f5f9;
      color: #1e2945;
      padding: 3px 10px;
      border-radius: 20px;
      border: 1px solid #e2e8f0;
      transition: all 0.3s ease;
    }
    .label-badge.highlight {
      background: #ffd166;
      border-color: #f59e0b;
    }
    /* SVG Animated piece transitions */
    .animated-piece {
      transition: transform 0.8s cubic-bezier(0.4, 0, 0.2, 1), opacity 0.4s ease;
      transform-origin: center;
    }
    .area-text {
      font-size: 11px;
      font-weight: 700;
      fill: #1e2945;
      pointer-events: none;
      text-anchor: middle;
      dominant-baseline: central;
    }
    .controls {
      display: flex;
      align-items: center;
      justify-content: center;
      gap: 10px;
      margin-top: 12px;
    }
    .step-btn {
      background: #f1f5f9;
      border: 2px solid transparent;
      color: #1e2945;
      font-size: 13px;
      font-weight: 600;
      padding: 6px 14px;
      border-radius: 8px;
      cursor: pointer;
      display: flex;
      align-items: center;
      gap: 6px;
      transition: all 0.2s ease;
    }
    .step-btn.active {
      background: #22b7ff;
      color: #ffffff;
      box-shadow: 0 2px 6px rgba(34, 183, 255, 0.3);
    }
    .play-btn {
      background: #ffffff;
      border: 2px solid #e2e8f0;
      color: #1e2945;
      width: 34px;
      height: 34px;
      border-radius: 8px;
      display: flex;
      align-items: center;
      justify-content: center;
      cursor: pointer;
      font-size: 14px;
      transition: all 0.2s ease;
    }
    .play-btn:active {
      transform: scale(0.95);
    }
  </style>
</head>
<body>

  <div class="diagram-stage">
    
    <div class="square-card">
      <div class="label-title">Square A</div>
      <div class="shape-container">
        <svg viewBox="0 0 100 100">
          
          <polygon points="0,0 0,100 100,100" fill="#22b7ff" />
          <text x="32" y="68" class="area-text">50</text>

          
          
          <g id="diagTriGroup" class="animated-piece">
            
            <polygon id="triPart1" class="animated-piece" points="0,0 100,0 50,50" fill="#ffd166" />
            <text id="triText1" x="50" y="22" class="area-text">25</text>

            
            <polygon id="triPart2" class="animated-piece" points="100,0 100,100 50,50" fill="#ffe08a" />
            <text id="triText2" x="78" y="50" class="area-text">25</text>
          </g>

          
          <line id="diagLine" x1="0" y1="0" x2="100" y2="100" stroke="#1e2945" stroke-width="2" />
        </svg>
      </div>
      <div class="label-badge" id="badgeA">2 Halves</div>
    </div>

    
    <div class="square-card">
      <div class="label-title">Square B</div>
      <div class="shape-container">
        <svg viewBox="0 0 100 100">
          
          <rect x="0" y="0" width="50" height="100" fill="#22b7ff" />
          <text x="25" y="50" class="area-text">50</text>

          
          <rect x="50" y="0" width="50" height="100" fill="#ffd166" />
          <text x="75" y="50" class="area-text">50</text>

          
          <line x1="50" y1="0" x2="50" y2="100" stroke="#1e2945" stroke-width="2" />
        </svg>
      </div>
      <div class="label-badge" id="badgeB">2 Halves</div>
    </div>
  </div>

  
  <div class="controls">
    <button class="step-btn active" id="step1Btn" onclick="setStep(0)">
      <span>1</span> Split
    </button>
    <button class="step-btn" id="step2Btn" onclick="setStep(1)">
      <span>2</span> Compare (50 = 50)
    </button>
    <button class="play-btn" id="playBtn" onclick="togglePlay()" aria-label="Auto play">
      ▶
    </button>
  </div>

  <script>
    let currentStep = 0;
    let isPlaying = false;
    let playInterval = null;

    const triPart1 = document.getElementById('triPart1');
    const triPart2 = document.getElementById('triPart2');
    const triText1 = document.getElementById('triText1');
    const triText2 = document.getElementById('triText2');
    const diagLine = document.getElementById('diagLine');
    const badgeA = document.getElementById('badgeA');
    const badgeB = document.getElementById('badgeB');
    const step1Btn = document.getElementById('step1Btn');
    const step2Btn = document.getElementById('step2Btn');
    const playBtn = document.getElementById('playBtn');

    function setStep(step) {
      currentStep = step;

      if (step === 0) {
        // Step 1: Initial diagonal split
        triPart1.style.transform = 'none';
        triPart2.style.transform = 'none';
        triText1.style.transform = 'none';
        triText2.style.transform = 'none';
        triText1.textContent = '25';
        triText2.textContent = '25';
        diagLine.style.opacity = '1';

        badgeA.textContent = '2 Halves';
        badgeB.textContent = '2 Halves';
        badgeA.classList.remove('highlight');
        badgeB.classList.remove('highlight');

        step1Btn.classList.add('active');
        step2Btn.classList.remove('active');
      } else {
        // Step 2: Rearrange diagonal half (25+25) into a 50x100 vertical rectangle
        // Move Part 1 to fill (50,0 -> 100,50)
        // Move Part 2 to fill (50,50 -> 100,100)
        triPart1.style.transform = 'translate(25px, 25px) rotate(45deg) scale(0.7071)';
        triPart2.style.transform = 'translate(0px, 0px)';
        // Morph the two 25-triangles into one vertical 50-unit rectangle shape
        triPart1.setAttribute('points', '50,0 100,0 100,50 50,50');
        triPart2.setAttribute('points', '50,50 100,50 100,100 50,100');
        triText1.setAttribute('x', '75');
        triText1.setAttribute('y', '25');
        triText2.setAttribute('x', '75');
        triText2.setAttribute('y', '75');
        triText1.textContent = '25';
        triText2.textContent = '25';
        diagLine.style.opacity = '0';

        badgeA.textContent = 'Equal Area: 50';
        badgeB.textContent = 'Equal Area: 50';
        badgeA.classList.add('highlight');
        badgeB.classList.add('highlight');

        step1Btn.classList.remove('active');
        step2Btn.classList.add('active');
      }

      if (step === 0) {
        triPart1.setAttribute('points', '0,0 100,0 50,50');
        triPart2.setAttribute('points', '100,0 100,100 50,50');
        triText1.setAttribute('x', '50');
        triText1.setAttribute('y', '22');
        triText2.setAttribute('x', '78');
        triText2.setAttribute('y', '50');
      }
    }

    function togglePlay() {
      isPlaying = !isPlaying;
      if (isPlaying) {
        playBtn.textContent = '⏸';
        playInterval = setInterval(() => {
          setStep((currentStep + 1) % 2);
        }, 3200);
      } else {
        playBtn.textContent = '▶';
        clearInterval(playInterval);
      }
    }
  </script>
</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;
      user-select: none;
      -webkit-user-select: none;
    }

    body {
      width: 100%;
      min-height: 100%;
      display: flex;
      flex-direction: column;
      align-items: center;
      justify-content: center;
      background: #ffffff;
      font-family: system-ui, -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, sans-serif;
      color: #1e2945;
      padding: 16px;
    }

    .comparison-grid {
      display: flex;
      flex-wrap: wrap;
      justify-content: center;
      gap: 20px;
      width: 100%;
      max-width: 520px;
    }

    .column {
      flex: 1 1 200px;
      display: flex;
      flex-direction: column;
      align-items: center;
      gap: 10px;
    }

    .header-badge {
      display: inline-flex;
      align-items: center;
      gap: 6px;
      font-size: 14px;
      font-weight: 700;
      padding: 6px 12px;
      border-radius: 20px;
    }

    .header-badge.fair {
      background: rgba(34, 183, 255, 0.12);
      color: #0077b6;
    }

    .header-badge.unfair {
      background: rgba(255, 92, 92, 0.12);
      color: #d93838;
    }

    .choc-stage {
      position: relative;
      width: 160px;
      height: 80px;
      display: flex;
      align-items: center;
      justify-content: center;
      cursor: pointer;
      touch-action: manipulation;
    }

    .choc-wrap {
      display: flex;
      width: 160px;
      height: 80px;
      border-radius: 8px;
      overflow: hidden;
      box-shadow: 0 4px 10px rgba(0,0,0,0.12);
      transition: gap 0.35s cubic-bezier(0.2, 0.8, 0.2, 1);
      gap: 2px;
      background: #3e2114;
      padding: 2px;
    }

    .choc-wrap.split {
      background: transparent;
      gap: 14px;
      box-shadow: none;
      padding: 0;
    }

    .choc-piece {
      height: 100%;
      background: #5d331d;
      border-radius: 6px;
      position: relative;
      display: flex;
      flex-direction: column;
      align-items: center;
      justify-content: center;
      overflow: hidden;
      transition: all 0.35s cubic-bezier(0.2, 0.8, 0.2, 1);
      box-shadow: inset 0 2px 3px rgba(255,255,255,0.15), inset 0 -3px 4px rgba(0,0,0,0.3);
    }

    .split .choc-piece {
      box-shadow: 0 4px 8px rgba(0,0,0,0.15), inset 0 2px 3px rgba(255,255,255,0.15), inset 0 -3px 4px rgba(0,0,0,0.3);
    }

    /* Left Bar: Equal 50/50 */
    .fair-left, .fair-right {
      width: 50%;
      border: 2px solid #22b7ff;
    }

    /* Right Bar: Unequal 25/75 */
    .unfair-left {
      width: 25%;
      border: 2px solid #ff5c5c;
    }

    .unfair-right {
      width: 75%;
      border: 2px solid #ff5c5c;
    }

    /* Chocolate grid embossing */
    .emboss-grid {
      position: absolute;
      inset: 4px;
      border: 1px dashed rgba(255,255,255,0.18);
      border-radius: 4px;
      pointer-events: none;
    }

    .piece-tag {
      font-size: 11px;
      font-weight: 700;
      color: #ffffff;
      text-shadow: 0 1px 2px rgba(0,0,0,0.6);
      z-index: 2;
    }

    .status-text {
      font-size: 13px;
      font-weight: 600;
      color: #6b7280;
    }

    .action-btn {
      margin-top: 14px;
      padding: 8px 18px;
      border-radius: 20px;
      border: 1px solid #e2e8f0;
      background: #f8fafc;
      color: #1e2945;
      font-size: 13px;
      font-weight: 600;
      cursor: pointer;
      transition: background 0.2s, border-color 0.2s;
    }

    .action-btn:hover {
      background: #edf2f7;
      border-color: #cbd5e1;
    }
  </style>
</head>
<body>

  <div class="comparison-grid">
    
    <div class="column">
      <div class="header-badge fair">✓ Equal Parts (Fair)</div>
      <div class="choc-stage" onclick="toggleSplit()">
        <div id="fairBar" class="choc-wrap">
          <div class="choc-piece fair-left">
            <div class="emboss-grid"></div>
            <span class="piece-tag">Same</span>
          </div>
          <div class="choc-piece fair-right">
            <div class="emboss-grid"></div>
            <span class="piece-tag">Same</span>
          </div>
        </div>
      </div>
      <span class="status-text">2 Equal Halves</span>
    </div>

    
    <div class="column">
      <div class="header-badge unfair">✗ Unequal Parts (Unfair)</div>
      <div class="choc-stage" onclick="toggleSplit()">
        <div id="unfairBar" class="choc-wrap">
          <div class="choc-piece unfair-left">
            <div class="emboss-grid"></div>
            <span class="piece-tag">Tiny</span>
          </div>
          <div class="choc-piece unfair-right">
            <div class="emboss-grid"></div>
            <span class="piece-tag">Large</span>
          </div>
        </div>
      </div>
      <span class="status-text">Different Sizes</span>
    </div>
  </div>

  <button class="action-btn" onclick="toggleSplit()">Tap to Split / Join Pieces</button>

  <script>
    let isSplit = false;

    function toggleSplit() {
      isSplit = !isSplit;
      const fair = document.getElementById('fairBar');
      const unfair = document.getElementById('unfairBar');
      if (isSplit) {
        fair.classList.add('split');
        unfair.classList.add('split');
      } else {
        fair.classList.remove('split');
        unfair.classList.remove('split');
      }
    }
  </script>
</body>
</html>

Part-Whole Understanding with Area Models

Representing Unit Fractions with Models

Building Non-Unit Fractions from Unit Fractions

Fractions of a Set Using Unit Fractions

Finding Non-Unit Fractions of a Set

Finding the Whole Given a Unit Fraction

Applying Fractions in Real-World Contexts

math

Understanding Fractions of Wholes and Sets

What Is a Fraction? Parts of a Whole

Numerator and Denominator: What They Mean

Understanding Unit Fractions as One Part of a Whole

Partitioning Shapes into Thirds and Sixths

Fractions with Denominators 2, 3, 4, 6, and 8

Representing Fractions with Strip Diagrams

Identifying Fractions from Area Models

Understanding Unit Fractions and Fraction Models

Placing Fractions on a Number Line

Labeling Fractions on a Number Line

Finding Fractions at Points on a Number Line

Whole Numbers as Fractions on a Number Line

Placing Fractions Greater Than One on a Number Line

Fractions Greater Than One with Area Models

Matching Area Models to Number Lines

Fractions on Number Lines

Composing Fractions from Unit Fractions

Decomposing Fractions into Unit Fractions

Writing Fractions as Sums of Unit Fractions

Fractions of a Set of Objects

Sharing Objects Equally Among Recipients

Solving Fraction Sharing Problems with Pictorial Models

Composing, Decomposing, and Fractions of a Set

Understanding One-Half as a Unit Fraction

Understanding One-Third as a Unit Fraction

Understanding One-Quarter as a Unit Fraction

Understanding One-Fifth as a Unit Fraction

Understanding One-Tenth as a Unit Fraction

Representing Unit Fractions on Number Lines

Introducing Unit Fractions

Multiples of Unit Fractions

Representing Multiples of Unit Fractions

Fractions with the Same Denominator

Combining Fractions with the Same Denominator to Complete the Whole

Finding Fractions of Collections

Comparing Unit Fractions

Ordering Unit Fractions

Working with Fractions and Their Multiples

Representing Fractions as Parts of a Whole

Representing Fractions as Parts of Collections

Identifying Fractions in Everyday Contexts

Making a Whole from Fraction Parts

Counting by Fractional Amounts

Fractions as Equal Shares

Introduction to Equivalent Fractions

Fractions on Measuring Tools

Representing and Relating Fractions

Understanding Tenths as Dividing into Ten Equal Parts

Recognising Tenths from Dividing Quantities by 10

Counting Up and Down in Tenths

Writing and Representing Tenths in Words and Symbols

Recognising Unit Fractions of Shapes with Small Denominators

Finding Unit Fractions of a Set of Objects

Writing Unit Fractions of Quantities

Comparing and Ordering Unit Fractions

Placing Unit Fractions on a Number Line Between 0 and 1

Solving Word Problems Involving Unit Fractions of Quantities

Understanding Tenths and Unit Fractions

Representing Fractions with Area Models

Representing Fractions with Set Models

Representing Whole Number × Fraction with Area Models

Representing Unit Fraction ÷ Whole Number with Models

Representing Whole Number ÷ Unit Fraction with Models

Problem Solving with Fractions

Fraction Operations and Problem Solving

Understanding Numerators and Denominators in Non-Unit Fractions

Representing Non-Unit Fractions with Shapes and Diagrams

Finding Non-Unit Fractions of a Set of Objects

Calculating Non-Unit Fractions of Quantities

Locating Non-Unit Fractions on a Number Line

Comparing Fractions with the Same Denominator

Ordering Fractions with the Same Denominator

Recognising Fractions Equal to One Whole

Solving Word Problems with Non-Unit Fractions of Quantities

Fractions Reasoning and Missing Number Puzzles

Fractions as Numbers and Non-Unit Fractions

Partitioning Shapes Into Parts with Equal Areas

What Is a Unit Fraction? 1/b of a Whole

Fractions with Denominators 2, 3, and 4

Fractions with Denominators 6 and 8

Introducing Fractions

Representing Fractions with Concrete Objects

Using Strip Diagrams to Model Fraction Problems

Fractions on Number Lines: Denominators 2, 3, and 4

Fractions on Number Lines: Denominators 6 and 8

Finding the Fraction at a Point on a Number Line

Representing Fractions with Models

Explaining Fraction Parts With Concrete Models

Partitioning Objects Among Two or More Recipients

Sharing Problems with Different Denominators

Composing, Decomposing, and Sharing Fractions

Representing Fractions in Multiple Ways

Choosing the Right Model for a Fraction Problem

Advanced Fraction Representations and Applications

Fracciones como relación parte-todo en regiones continuas

Fracciones como subconjunto de una colección discreta

Fracción como medida e intervalo en la recta numérica

Fracción como cociente: reparto de objetos entre personas

Fracción como operador: calcular la fracción de un número

Interpretaciones de la fracción

Fracciones propias, impropias y fracciones iguales a la unidad

Números mixtos y conversión a fracciones impropias

Fracciones equivalentes mediante modelos visuales

Obtención de fracciones equivalentes por complificación y amplificación

Simplificación de fracciones y fracción irreductible

Tipos de fracciones y equivalencia

Comparación de fracciones con igual denominador o igual numerador

Comparación de fracciones usando puntos de referencia (0, 1/2, 1)

Comparación y ordenamiento con distinto denominador mediante m.c.m.

Medidas relativas en recetas, escalas y porciones

Resolución de desafíos de razonamiento con fracciones

Comparación y aplicación de fracciones

Suma de fracciones con igual denominador y modelos visuales

Resta de fracciones con igual denominador

Suma y resta de números mixtos con igual denominador

Suma de fracciones con distinto denominador usando fracciones equivalentes

Resta de fracciones con distinto denominador

Suma y resta de números mixtos con distinto denominador

Problemas verbales aditivos con fracciones y medidas

Suma y resta de fracciones y números mixtos

Multiplicación de una fracción por un número natural

Multiplicación de fracción por fracción con modelo de área

Simplificación cruzada antes de multiplicar fracciones

La multiplicación como escalamiento o cambio de tamaño

División de fracciones unitarias entre un número natural

División de un número natural entre una fracción unitaria

División general de fracciones: el inverso multiplicativo

Problemas verbales multiplicativos y de división con fracciones

Operaciones combinadas con fracciones y jerarquía

Multiplicación y división de fracciones

Conversión de fracciones a decimales por amplificación y división

Conversión de decimales finitos a fracciones simplificadas

Concepto de porcentaje como fracción con denominador 100

Tríada de equivalencias: fracción, decimal y porcentaje

Porcentajes comunes (10%, 25%, 50% y 75%) en la vida diaria

Cálculo mental de porcentajes sencillos de una cantidad

Interpretación de descuentos e intereses en anuncios comerciales

Resolución de problemas integrando fracciones, decimales y porcentajes

Equivalencias entre fracciones, decimales y porcentajes

Obliczenia pieniężne – złote i grosze

Zamiana złotych na grosze i odwrotnie

Nominały monet i banknotów

Siła nabywcza – porównywanie cen

Wydatki i reszta – obliczenia

Szacowanie kosztów zakupów

Dzielenie na połowy i ćwiartki w praktyce

Pieniądze w życiu codziennym

Mierzenie temperatury termometrem

Odczytywanie temperatur – dodatnie i ujemne

Ważenie – kilogram i dekagram

Ważenie – gram i tona

Przeliczanie jednostek masy

Odmierzanie płynów – litr i ułamki litra

Gry planszowe i logiczne – myślenie strategiczne

Pomiary w życiu codziennym – temperatura i waga

Concepto de razón como comparación por cociente

Razones equivalentes y simplificación de razones

Tablas de razones y patrones de escalamiento

Tasas unitarias en la vida cotidiana: velocidad y rendimiento

Concepto de proporción y la propiedad fundamental

Proporcionalidad directa: identificación y constante de proporcionalidad

Regla de tres simple directa en la resolución de problemas

Representación gráfica de la proporcionalidad directa

Razones, tasas y proporcionalidad directa

Concepto de proporcionalidad inversa: cuando una crece, la otra disminuye

Regla de tres simple inversa: tiempo, obreros y velocidad

Situaciones de producto de medidas: combinación de dimensiones

Escalas en mapas y planos arquitectónicos

Porcentaje calculado como proporción directa

Modelado y análisis de dependencia en tablas y gráficos

Proporcionalidad inversa y aplicaciones

Połowa całości – dzielenie na dwie części

Ćwiartka – dzielenie na cztery części

Ułamek jako część całości

Zapis ułamka – licznik i mianownik

Ułamki na modelach – koła i paski

Ułamki na osi liczbowej

Wprowadzenie do ułamków zwykłych

Porównywanie ułamków o tym samym mianowniku

Porównywanie ułamków o tym samym liczniku

Ułamki równoważne – wprowadzenie

Dodawanie ułamków o tym samym mianowniku

Odejmowanie ułamków o tym samym mianowniku

Porównywanie i operacje na ułamkach zwykłych

Ułamki dziesiętne – wprowadzenie

Ułamki dziesiętne – setne części

Ułamki w kontekście – miary i pieniądze

Sprawdzenie – ułamki

Ułamki dziesiętne i zastosowania

OGM.4.NF.1

Aligned learning resources

Related diagrams