<!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: #0f2744;
      padding: 8px;
      line-height: 1.3;
    }

    .grid-symbols {
      display: grid;
      grid-template-columns: 1fr 1fr;
      gap: 8px;
      margin-bottom: 12px;
    }

    .sym-card {
      background: #f8fafc;
      border: 1px solid #cbd5e1;
      border-radius: 8px;
      padding: 8px 10px;
      display: flex;
      flex-direction: column;
      gap: 6px;
    }

    .sym-header {
      display: flex;
      align-items: center;
      gap: 8px;
    }

    .sym-badge {
      background: #0f2744;
      color: #ffffff;
      font-size: 20px;
      font-weight: 700;
      width: 34px;
      height: 34px;
      border-radius: 6px;
      display: flex;
      align-items: center;
      justify-content: center;
      flex-shrink: 0;
      position: relative;
      font-family: monospace;
    }

    .sym-badge.inclusive::after {
      content: '';
      position: absolute;
      bottom: 5px;
      left: 7px;
      right: 7px;
      height: 2.5px;
      background: #22d3ee;
      border-radius: 2px;
    }

    .sym-title-wrap {
      min-width: 0;
    }

    .sym-title {
      font-size: 13px;
      font-weight: 700;
      color: #0f2744;
      white-space: nowrap;
      overflow: hidden;
      text-overflow: ellipsis;
    }

    .sym-expr {
      font-family: monospace;
      font-size: 15px;
      font-weight: 700;
      color: #1e40af;
    }

    .status-badge {
      font-size: 11.5px;
      font-weight: 600;
      padding: 3px 6px;
      border-radius: 4px;
      text-align: center;
      line-height: 1.2;
    }

    .status-excluded {
      background: #fee2e2;
      color: #b91c1c;
      border: 1px solid #fca5a5;
    }

    .status-included {
      background: #dcfce7;
      color: #15803d;
      border: 1px solid #86efac;
    }

    /* Interactive Tester Section */
    .tester-section {
      background: #f1f5f9;
      border: 1px solid #cbd5e1;
      border-radius: 8px;
      padding: 10px;
    }

    .tester-header {
      font-size: 12px;
      font-weight: 700;
      color: #334155;
      text-transform: uppercase;
      letter-spacing: 0.5px;
      margin-bottom: 8px;
      display: flex;
      align-items: center;
      justify-content: space-between;
    }

    .pill-group {
      display: flex;
      gap: 6px;
      margin-bottom: 10px;
    }

    .pill-btn {
      flex: 1;
      background: #ffffff;
      border: 1.5px solid #94a3b8;
      color: #1e293b;
      padding: 6px 4px;
      border-radius: 6px;
      font-size: 13px;
      font-weight: 600;
      cursor: pointer;
      text-align: center;
      transition: background 0.15s ease, border-color 0.15s ease, color 0.15s ease;
    }

    .pill-btn:hover {
      background: #f8fafc;
      border-color: #6366f1;
    }

    .pill-btn.active {
      background: #4f46e5;
      color: #ffffff;
      border-color: #4338ca;
      box-shadow: 0 1px 3px rgba(79, 70, 229, 0.3);
    }

    .results-grid {
      display: grid;
      grid-template-columns: repeat(4, 1fr);
      gap: 6px;
    }

    .res-box {
      background: #ffffff;
      border: 1px solid #cbd5e1;
      border-radius: 6px;
      padding: 6px 4px;
      text-align: center;
      display: flex;
      flex-direction: column;
      gap: 4px;
      align-items: center;
    }

    .res-statement {
      font-family: monospace;
      font-size: 12.5px;
      font-weight: 700;
      color: #1e293b;
    }

    .res-eval {
      display: inline-block;
      font-size: 11px;
      font-weight: 700;
      padding: 2px 6px;
      border-radius: 4px;
      width: 85%;
      letter-spacing: 0.3px;
    }

    .eval-true {
      background: #dcfce7;
      color: #15803d;
    }

    .eval-false {
      background: #fee2e2;
      color: #b91c1c;
    }

    @media (max-width: 440px) {
      .grid-symbols {
        grid-template-columns: 1fr;
        gap: 6px;
      }
      .sym-card {
        padding: 6px 8px;
        gap: 4px;
      }
      .sym-badge {
        width: 28px;
        height: 28px;
        font-size: 16px;
      }
      .sym-title {
        font-size: 12px;
      }
      .sym-expr {
        font-size: 13px;
      }
      .results-grid {
        grid-template-columns: repeat(2, 1fr);
      }
    }
  </style>
</head>
<body>

  
  <div class="grid-symbols">
    
    <div class="sym-card">
      <div class="sym-header">
        <div class="sym-badge">&lt;</div>
        <div class="sym-title-wrap">
          <div class="sym-title">Strictly Less Than</div>
          <div class="sym-expr">x &lt; 10</div>
        </div>
      </div>
      <div class="status-badge status-excluded">x = 10 is FALSE (Excluded)</div>
    </div>

    
    <div class="sym-card">
      <div class="sym-header">
        <div class="sym-badge inclusive">≤</div>
        <div class="sym-title-wrap">
          <div class="sym-title">Less Than or Equal</div>
          <div class="sym-expr">x ≤ 10</div>
        </div>
      </div>
      <div class="status-badge status-included">x = 10 is TRUE (Included)</div>
    </div>

    
    <div class="sym-card">
      <div class="sym-header">
        <div class="sym-badge">&gt;</div>
        <div class="sym-title-wrap">
          <div class="sym-title">Strictly Greater Than</div>
          <div class="sym-expr">x &gt; 10</div>
        </div>
      </div>
      <div class="status-badge status-excluded">x = 10 is FALSE (Excluded)</div>
    </div>

    
    <div class="sym-card">
      <div class="sym-header">
        <div class="sym-badge inclusive">≥</div>
        <div class="sym-title-wrap">
          <div class="sym-title">Greater Than or Equal</div>
          <div class="sym-expr">x ≥ 10</div>
        </div>
      </div>
      <div class="status-badge status-included">x = 10 is TRUE (Included)</div>
    </div>
  </div>

  
  <div class="tester-section">
    <div class="tester-header">
      <span>Test a Value for x</span>
      <span style="font-weight: 500; font-size: 11px; text-transform: none; color: #64748b;">Boundary: 10</span>
    </div>

    <div class="pill-group">
      <button type="button" class="pill-btn" onclick="testValue(9)">x = 9</button>
      <button type="button" class="pill-btn active" onclick="testValue(10)">x = 10 (Boundary)</button>
      <button type="button" class="pill-btn" onclick="testValue(11)">x = 11</button>
    </div>

    <div class="results-grid">
      <div class="res-box" id="res-lt">
        <div class="res-statement" id="stmt-lt">10 &lt; 10</div>
        <div class="res-eval eval-false" id="eval-lt">FALSE</div>
      </div>
      <div class="res-box" id="res-le">
        <div class="res-statement" id="stmt-le">10 ≤ 10</div>
        <div class="res-eval eval-true" id="eval-le">TRUE</div>
      </div>
      <div class="res-box" id="res-gt">
        <div class="res-statement" id="stmt-gt">10 &gt; 10</div>
        <div class="res-eval eval-false" id="eval-gt">FALSE</div>
      </div>
      <div class="res-box" id="res-ge">
        <div class="res-statement" id="stmt-ge">10 ≥ 10</div>
        <div class="res-eval eval-true" id="eval-ge">TRUE</div>
      </div>
    </div>
  </div>

  <script>
    function updateBox(idPrefix, statement, isTrue) {
      const stmtEl = document.getElementById('stmt-' + idPrefix);
      const evalEl = document.getElementById('eval-' + idPrefix);

      stmtEl.textContent = statement;
      if (isTrue) {
        evalEl.textContent = 'TRUE';
        evalEl.className = 'res-eval eval-true';
      } else {
        evalEl.textContent = 'FALSE';
        evalEl.className = 'res-eval eval-false';
      }
    }

    function testValue(val) {
      // Update buttons
      const buttons = document.querySelectorAll('.pill-btn');
      buttons.forEach(btn => {
        if (
          (val === 9 && btn.textContent.includes('9')) ||
          (val === 10 && btn.textContent.includes('10')) ||
          (val === 11 && btn.textContent.includes('11'))
        ) {
          btn.classList.add('active');
        } else {
          btn.classList.remove('active');
        }
      });

      // Update evaluations
      updateBox('lt', val + ' < 10', val < 10);
      updateBox('le', val + ' ≤ 10', val <= 10);
      updateBox('gt', val + ' > 10', val > 10);
      updateBox('ge', val + ' ≥ 10', val >= 10);
    }
  </script>
</body>
</html>

Understanding Inequality Symbols and Statements

<!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;
    }
    html, body {
      width: 100%;
      height: 100%;
      background: #ffffff;
      font-family: system-ui, -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, sans-serif;
      color: #1e2945;
      display: flex;
      flex-direction: column;
      align-items: center;
      justify-content: center;
      overflow: hidden;
      user-select: none;
    }
    .diagram-area {
      width: 100%;
      max-width: 640px;
      padding: 12px;
      display: flex;
      flex-direction: column;
      align-items: center;
    }
    svg {
      width: 100%;
      height: auto;
      display: block;
      overflow: visible;
    }
    .tick-btn {
      cursor: pointer;
      outline: none;
    }
    .tick-btn:hover circle.hit-area {
      fill: rgba(34, 183, 255, 0.15);
    }
    .badge-card {
      transition: transform 0.2s ease, opacity 0.2s ease;
    }
    .interactive-display {
      margin-top: 6px;
      font-size: 15px;
      font-weight: 600;
      color: #1e2945;
      text-align: center;
      min-height: 24px;
    }
  </style>
</head>
<body>
  <div class="diagram-area">
    <svg viewBox="0 0 640 280" aria-label="Number line inequality x < -2">
      <defs>
        
        <marker id="arrow-blue" markerWidth="8" markerHeight="8" refX="4" refY="4" orient="auto">
          <path d="M7,1 L1,4 L7,7 Z" fill="#2563eb" />
        </marker>
        
        <marker id="arrow-left" markerWidth="8" markerHeight="8" refX="4" refY="4" orient="auto">
          <path d="M7,1 L1,4 L7,7 Z" fill="#94a3b8" />
        </marker>
        <marker id="arrow-right" markerWidth="8" markerHeight="8" refX="4" refY="4" orient="auto">
          <path d="M1,1 L7,4 L1,7 Z" fill="#94a3b8" />
        </marker>
      </defs>

      

      
      <g class="badge-card" id="card-neg5">
        <line x1="145" y1="110" x2="145" y2="168" stroke="#16a34a" stroke-width="2" stroke-dasharray="4 3" />
        <rect x="85" y="42" width="120" height="66" rx="8" fill="#f0fdf4" stroke="#86efac" stroke-width="2" />
        <text x="145" y="68" text-anchor="middle" font-size="16" font-weight="700" fill="#1e2945">−5 &lt; −2</text>
        <text x="145" y="94" text-anchor="middle" font-size="15" font-weight="800" fill="#16a34a">✓ TRUE</text>
      </g>

      
      <g class="badge-card" id="card-neg2">
        <line x1="325" y1="110" x2="325" y2="166" stroke="#ef4444" stroke-width="2" stroke-dasharray="4 3" />
        <rect x="265" y="42" width="120" height="66" rx="8" fill="#fef2f2" stroke="#fca5a5" stroke-width="2" />
        <text x="325" y="68" text-anchor="middle" font-size="16" font-weight="700" fill="#1e2945">−2 &lt; −2</text>
        <text x="325" y="94" text-anchor="middle" font-size="15" font-weight="800" fill="#ef4444">✗ FALSE</text>
      </g>

      
      <g class="badge-card" id="card-zero">
        <line x1="445" y1="110" x2="445" y2="168" stroke="#ef4444" stroke-width="2" stroke-dasharray="4 3" />
        <rect x="385" y="42" width="120" height="66" rx="8" fill="#fef2f2" stroke="#fca5a5" stroke-width="2" />
        <text x="445" y="68" text-anchor="middle" font-size="16" font-weight="700" fill="#1e2945">0 &lt; −2</text>
        <text x="445" y="94" text-anchor="middle" font-size="15" font-weight="800" fill="#ef4444">✗ FALSE</text>
      </g>

      
      <line x1="45" y1="180" x2="595" y2="180" stroke="#94a3b8" stroke-width="3" marker-start="url(#arrow-left)" marker-end="url(#arrow-right)" />

      
      <line x1="316" y1="180" x2="50" y2="180" stroke="#2563eb" stroke-width="6" stroke-linecap="round" marker-end="url(#arrow-blue)" />

      
      
      
      
      <g class="tick-btn" onclick="testVal(-6, 85)">
        <circle class="hit-area" cx="85" cy="180" r="18" fill="transparent" />
        <line x1="85" y1="172" x2="85" y2="188" stroke="#2563eb" stroke-width="3" />
        <text x="85" y="214" text-anchor="middle" font-size="16" font-weight="600" fill="#1e2945">−6</text>
      </g>

      
      <g class="tick-btn" onclick="testVal(-5, 145)">
        <circle class="hit-area" cx="145" cy="180" r="18" fill="transparent" />
        <line x1="145" y1="172" x2="145" y2="188" stroke="#2563eb" stroke-width="3" />
        <circle cx="145" cy="180" r="6" fill="#16a34a" />
        <text x="145" y="214" text-anchor="middle" font-size="16" font-weight="700" fill="#1e2945">−5</text>
      </g>

      
      <g class="tick-btn" onclick="testVal(-4, 205)">
        <circle class="hit-area" cx="205" cy="180" r="18" fill="transparent" />
        <line x1="205" y1="172" x2="205" y2="188" stroke="#2563eb" stroke-width="3" />
        <text x="205" y="214" text-anchor="middle" font-size="16" font-weight="600" fill="#1e2945">−4</text>
      </g>

      
      <g class="tick-btn" onclick="testVal(-3, 265)">
        <circle class="hit-area" cx="265" cy="180" r="18" fill="transparent" />
        <line x1="265" y1="172" x2="265" y2="188" stroke="#2563eb" stroke-width="3" />
        <text x="265" y="214" text-anchor="middle" font-size="16" font-weight="600" fill="#1e2945">−3</text>
      </g>

      
      <g class="tick-btn" onclick="testVal(-2, 325)">
        <circle class="hit-area" cx="325" cy="180" r="18" fill="transparent" />
        <line x1="325" y1="172" x2="325" y2="188" stroke="#94a3b8" stroke-width="2" />
        <circle cx="325" cy="180" r="8" fill="#ffffff" stroke="#ef4444" stroke-width="4" />
        <text x="325" y="214" text-anchor="middle" font-size="16" font-weight="700" fill="#1e2945">−2</text>
      </g>

      
      <g class="tick-btn" onclick="testVal(-1, 385)">
        <circle class="hit-area" cx="385" cy="180" r="18" fill="transparent" />
        <line x1="385" y1="172" x2="385" y2="188" stroke="#94a3b8" stroke-width="2" />
        <text x="385" y="214" text-anchor="middle" font-size="16" font-weight="600" fill="#1e2945">−1</text>
      </g>

      
      <g class="tick-btn" onclick="testVal(0, 445)">
        <circle class="hit-area" cx="445" cy="180" r="18" fill="transparent" />
        <line x1="445" y1="172" x2="445" y2="188" stroke="#94a3b8" stroke-width="2" />
        <circle cx="445" cy="180" r="6" fill="#ef4444" />
        <text x="445" y="214" text-anchor="middle" font-size="16" font-weight="700" fill="#1e2945">0</text>
      </g>

      
      <g class="tick-btn" onclick="testVal(1, 505)">
        <circle class="hit-area" cx="505" cy="180" r="18" fill="transparent" />
        <line x1="505" y1="172" x2="505" y2="188" stroke="#94a3b8" stroke-width="2" />
        <text x="505" y="214" text-anchor="middle" font-size="16" font-weight="600" fill="#1e2945">1</text>
      </g>

      
      <g class="tick-btn" onclick="testVal(2, 565)">
        <circle class="hit-area" cx="565" cy="180" r="18" fill="transparent" />
        <line x1="565" y1="172" x2="565" y2="188" stroke="#94a3b8" stroke-width="2" />
        <text x="565" y="214" text-anchor="middle" font-size="16" font-weight="600" fill="#1e2945">2</text>
      </g>

      
      <g id="selection-marker" transform="translate(145, 180)" style="display: none;">
        <circle cx="0" cy="0" r="13" fill="none" stroke="#22b7ff" stroke-width="3" stroke-dasharray="3 3" />
      </g>
    </svg>

    <div id="interactiveDisplay" class="interactive-display">
      Tap any number on the line to test
    </div>
  </div>

  <script>
    function testVal(val, cx) {
      const isTrue = val < -2;
      const marker = document.getElementById('selection-marker');
      marker.setAttribute('transform', `translate(${cx}, 180)`);
      marker.style.display = 'block';

      const disp = document.getElementById('interactiveDisplay');
      const valStr = val < 0 ? `−${Math.abs(val)}` : `${val}`;
      if (isTrue) {
        disp.innerHTML = `${valStr} &lt; −2 is <span style="color:#16a34a; font-weight:700;">TRUE ✓</span> (left of −2)`;
      } else if (val === -2) {
        disp.innerHTML = `−2 &lt; −2 is <span style="color:#ef4444; font-weight:700;">FALSE ✗</span> (open ring, not included)`;
      } else {
        disp.innerHTML = `${valStr} &lt; −2 is <span style="color:#ef4444; font-weight:700;">FALSE ✗</span> (not in highlighted ray)`;
      }
    }
  </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;
      -webkit-tap-highlight-color: transparent;
    }
    body {
      font-family: system-ui, -apple-system, sans-serif;
      background: #f8fafc;
      color: #1e2945;
      padding: 12px;
      display: flex;
      flex-direction: column;
      gap: 12px;
      user-select: none;
    }

    .cards-row {
      display: flex;
      gap: 10px;
      width: 100%;
    }

    .comp-card {
      flex: 1;
      background: #ffffff;
      border: 2px solid #e2e8f0;
      border-radius: 12px;
      padding: 10px 8px;
      display: flex;
      flex-direction: column;
      align-items: center;
      cursor: pointer;
      transition: border-color 0.25s ease, box-shadow 0.25s ease, background-color 0.25s ease;
    }

    .comp-card.active {
      border-color: #2563eb;
      background: #eff6ff;
      box-shadow: 0 4px 12px rgba(37, 99, 235, 0.08);
    }

    .math-expr {
      display: flex;
      align-items: center;
      justify-content: center;
      gap: 8px;
      font-size: 28px;
      font-weight: 800;
      line-height: 1;
      margin-bottom: 6px;
    }

    .symbol {
      color: #2563eb;
      font-size: 32px;
    }

    .tip-row {
      display: flex;
      justify-content: space-between;
      width: 100%;
      max-width: 150px;
      font-size: 11px;
      font-weight: 700;
      color: #64748b;
      margin-bottom: 6px;
    }

    .tip-tag {
      background: #f1f5f9;
      padding: 2px 6px;
      border-radius: 4px;
      color: #475569;
    }
    .comp-card.active .tip-tag {
      background: #dbeafe;
      color: #1d4ed8;
    }

    .card-label {
      font-size: 13px;
      font-weight: 600;
      color: #334155;
      text-align: center;
    }

    .comp-card.active .card-label {
      color: #1e2945;
      font-weight: 700;
    }

    .numberline-box {
      background: #ffffff;
      border: 1px solid #e2e8f0;
      border-radius: 12px;
      padding: 10px 12px;
      display: flex;
      flex-direction: column;
      gap: 6px;
    }

    .line-header {
      display: flex;
      justify-content: flex-end;
      align-items: center;
      font-size: 12px;
      font-weight: 700;
      color: #2563eb;
    }

    svg {
      width: 100%;
      height: auto;
      overflow: visible;
    }

    .num-text {
      font-size: 13px;
      font-weight: 600;
      fill: #64748b;
      text-anchor: middle;
      font-family: inherit;
    }

    .num-dot {
      transition: r 0.3s ease, fill 0.3s ease, stroke 0.3s ease;
      cursor: pointer;
    }

    .dot-hl {
      fill: #2563eb;
      stroke: #dbeafe;
      stroke-width: 4;
      r: 7;
    }

    .dot-dim {
      fill: #cbd5e1;
      r: 4;
    }

    .arc-path {
      fill: none;
      stroke: #2563eb;
      stroke-width: 2.5;
      stroke-dasharray: 4 3;
      transition: opacity 0.3s ease;
    }
  </style>
</head>
<body>

  <div class="cards-row">
    
    <div class="comp-card active" id="cardLess" onclick="selectMode('less')">
      <div class="tip-row">
        <span class="tip-tag">Point (smaller)</span>
        <span class="tip-tag">Open (greater)</span>
      </div>
      <div class="math-expr">
        <span>3</span>
        <span class="symbol">&lt;</span>
        <span>7</span>
      </div>
      <div class="card-label">3 is less than 7</div>
    </div>

    
    <div class="comp-card" id="cardGreater" onclick="selectMode('greater')">
      <div class="tip-row">
        <span class="tip-tag">Open (greater)</span>
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Los números enteros en la vida cotidiana

Representación de enteros en la recta numérica

El opuesto de un número entero

Concepto de valor absoluto

Comparación y orden de enteros con la recta numérica

Ordenamiento de conjuntos de números enteros

Medidas relativas: temperatura y altitud

Distancia entre dos puntos en la recta numérica

Desigualdades simples con enteros en la recta

Resolución de problemas con medidas relativas de enteros

Razonabilidad de resultados con enteros y estimación

math

Números enteros: Concepto, orden y valor absoluto

生活中的相反现象与相对概念

认识温度计中的零上与零下温度

正负号的引入与负数的规范读写

0 的独特意义：基准与分界点

海拔高度与海平面的正负表示

财务收支与盈亏中的正负数应用

东西方向与行进位移的正负表示

国际时区与时间前后的正负表示

商品质量标准与误差的正负标记

认识负数与生活中的相反量

Adición de enteros con el mismo signo

Adición de enteros con signos diferentes

Propiedades de la adición de enteros

Sustracción de enteros como suma del opuesto

Práctica fluida de sumas y restas de enteros

Multiplicación de enteros y regla de signos

Propiedades de la multiplicación en enteros

División exacta de números enteros

Operaciones combinadas con enteros y jerarquía

Resolución de problemas aditivos y multiplicativos con enteros

Uso de la calculadora para verificar operaciones con enteros

Operaciones con números enteros

认识数轴的三要素：原点、正方向与单位长度

在数轴上表示正数、负数与 0

利用数轴比较正数、0 与负数的大小

两个负数的大小比较规则与直观理解

正负数与相反意义量的综合建模与反思

数轴模型与正负数大小比较

Concepto de número racional y representación fraccionaria

Fracciones propias, impropias y números mixtos

Fracciones equivalentes por amplificación y simplificación

Fracción irreducible y simplificación máxima

Ubicación de fracciones positivas y negativas en la recta

Comparación de fracciones con distinto denominador

Densidad de los números racionales

Fracciones como operadores de cantidades y medidas

Problemas de comparación y medición con fracciones

Números racionales: Fracciones y equivalencia

Adición y sustracción de fracciones homogéneas

Adición y sustracción de fracciones heterogéneas con mcm

Suma y resta de números mixtos

Multiplicación de fracciones y modelo de área

Simplificación cruzada en la multiplicación de fracciones

Multiplicación con números mixtos y enteros

Adición, sustracción y multiplicación de fracciones y números mixtos

Concepto de inverso multiplicativo o recíproco

División de fracciones por el método del recíproco

División con fracciones y números mixtos

Operaciones combinadas con fracciones y jerarquía

Problemas verbales aditivos con fracciones en medidas

Problemas verbales multiplicativos y de división con fracciones

División, operaciones combinadas y problemas con fracciones

Finding Numbers That Make an Inequality True

Understanding That Inequalities Have Infinitely Many Solutions

Graphing Strict Inequalities with Open Circles

Graphing Inclusive Inequalities with Closed Circles

Writing Inequalities from Number Line Graphs

Writing Inequalities from Real-World Constraint Problems

One-Variable Inequalities and Number Line Representations

Concepto de potenciación con enteros

Potencias con base negativa y regla de los signos

Producto de potencias de igual base

Cociente de potencias de igual base y exponente cero

Potencia de una potencia

Potencia de un producto y de un cociente

Potenciación con enteros y sus propiedades

Raíces cuadradas exactas y estimadas

Raíces cúbicas exactas

Propiedades de la radicación: raíz de un producto y cociente

Orden de operaciones con potencias y raíces

Notación científica introductoria y grandes números

Resolución de problemas de crecimiento exponencial y geométrico

Radicación, operaciones combinadas y aplicaciones

Múltiplos y divisores de un número natural

Criterios de divisibilidad por 2, 3, 5 y 10

Criterios de divisibilidad por 4, 6, 9 y 11

Números primos, compuestos y la criba de Eratóstenes

Descomposición en factores primos: árbol y división sucesiva

Cálculo del máximo común divisor (MCD)

Cálculo del mínimo común múltiplo (mcm)

Resolución de problemas verbales con MCD

Resolución de problemas verbales con mcm

Teoría de números: Divisibilidad, MCD y mcm

From Empty Boxes to Letters as Unknowns

Understanding Algebraic Notation Like 3x and a/2

Writing One-Step Addition and Subtraction Equations

Solving One-Step Addition and Subtraction Equations

Writing One-Step Multiplication and Division Equations

Solving One-Step Multiplication and Division Equations

Introduction to Algebraic Notation and One-Step Equations

Writing Two-Step Equations from Word Problems

Solving Two-Step Linear Equations

Representing Missing Number Equations with Bar Models

Evaluating Algebraic Expressions by Substitution

Forming and Solving Equations from Geometric Problems

Word Problems with Consecutive Numbers and Unknowns

Algebraic Missing Number Mastery Puzzles

Two-Step Equations and Algebraic Problem Solving

De lenguaje común a lenguaje algebraico

Partes de una expresión algebraica: términos, coeficientes y variables

Evaluación de expresiones algebraicas con enteros y racionales

Identificación y reducción de términos semejantes

Propiedad distributiva para expandir expresiones

Factorización por factor común monomio

Simplificación de expresiones con propiedad distributiva y términos semejantes

OGM.7.EE.4

Aligned learning resources

Related diagrams