feat(lessons): add lessons from client db

src/pages/student/lessons/LinearTransformationsLesson.tsx

@@ -0,0 +1,326 @@
+import React, { useRef, useState, useEffect } from "react";
+import { ArrowDown, Check, BookOpen, TrendingUp } from "lucide-react";
+import LinearTransformationWidget from "../../../components/lessons/LinearTransformationWidget";
+import Quiz from "../../../components/lessons/Quiz";
+import { LINEAR_TRANSFORMATIONS_QUIZ_DATA } from "../../../utils/constants";
+
+interface LessonProps {
+  onFinish?: () => void;
+}
+
+const LinearTransformationsLesson: React.FC<LessonProps> = ({ onFinish }) => {
+  const [activeSection, setActiveSection] = useState(0);
+  const sectionsRef = useRef<(HTMLElement | null)[]>([]);
+
+  const scrollToSection = (index: number) => {
+    setActiveSection(index);
+    sectionsRef.current[index]?.scrollIntoView({
+      behavior: "smooth",
+      block: "start",
+    });
+  };
+
+  useEffect(() => {
+    const observer = new IntersectionObserver(
+      (entries) => {
+        entries.forEach((entry) => {
+          if (entry.isIntersecting) {
+            const index = sectionsRef.current.indexOf(
+              entry.target as HTMLElement,
+            );
+            if (index !== -1) setActiveSection(index);
+          }
+        });
+      },
+      { rootMargin: "-20% 0px -60% 0px" },
+    );
+    sectionsRef.current.forEach((section) => {
+      if (section) observer.observe(section);
+    });
+    return () => observer.disconnect();
+  }, []);
+
+  const SectionMarker = ({
+    index,
+    title,
+    icon: Icon,
+  }: {
+    index: number;
+    title: string;
+    icon: any;
+  }) => {
+    const isActive = activeSection === index;
+    const isPast = activeSection > index;
+    return (
+      <button
+        onClick={() => scrollToSection(index)}
+        className={`flex items-center gap-3 p-3 w-full rounded-lg transition-all ${isActive ? "bg-white shadow-md border border-blue-100" : "hover:bg-slate-100"}`}
+      >
+        <div
+          className={`w-8 h-8 rounded-full flex items-center justify-center shrink-0 ${isActive ? "bg-blue-600 text-white" : isPast ? "bg-blue-400 text-white" : "bg-slate-200 text-slate-500"}`}
+        >
+          {isPast ? (
+            <Check className="w-4 h-4" />
+          ) : (
+            <Icon className="w-4 h-4" />
+          )}
+        </div>
+        <div className="text-left">
+          <p
+            className={`text-sm font-bold ${isActive ? "text-blue-900" : "text-slate-600"}`}
+          >
+            {title}
+          </p>
+        </div>
+      </button>
+    );
+  };
+
+  return (
+    <div className="flex flex-col lg:flex-row min-h-screen">
+      <aside className="w-full lg:w-64 lg:fixed lg:top-20 lg:bottom-0 lg:overflow-y-auto p-4 border-r border-slate-200 bg-slate-50 z-0 hidden lg:block">
+        <nav className="space-y-2">
+          <SectionMarker
+            index={0}
+            title="Shift, Reflect & Scale"
+            icon={TrendingUp}
+          />
+          <SectionMarker index={1} title="Practice" icon={BookOpen} />
+        </nav>
+      </aside>
+
+      <div className="flex-1 lg:ml-64 p-6 md:p-12 max-w-4xl mx-auto">
+        {/* Section 1 */}
+        <section
+          ref={(el) => {
+            sectionsRef.current[0] = el;
+          }}
+          className="min-h-screen flex flex-col justify-center mb-24 pt-20 lg:pt-0"
+        >
+          <h2 className="text-4xl font-extrabold text-slate-900 mb-6">
+            Function Transformations
+          </h2>
+          <div className="prose prose-slate text-lg text-slate-600 mb-8">
+            <p>
+              Given a base function f(x), transformations let you shift, flip,
+              and scale it predictably. These rules apply to <em>any</em>{" "}
+              function type — linear, quadratic, absolute value, or otherwise.
+              The SAT tests these with graphs, tables, and algebraic forms, so
+              you must recognize them quickly.
+            </p>
+          </div>
+
+          {/* Transformation Table */}
+          <div className="bg-blue-50 border border-blue-200 rounded-2xl p-6 mb-8 space-y-5">
+            <h3 className="text-lg font-bold text-blue-900">
+              All Six Transformations
+            </h3>
+            <div className="overflow-x-auto rounded-xl border border-blue-200">
+              <table className="w-full text-sm border-collapse">
+                <thead>
+                  <tr className="bg-blue-900 text-white">
+                    <th className="p-3 text-left">Transformation</th>
+                    <th className="p-3 text-left">Notation</th>
+                    <th className="p-3 text-left">Effect on Graph</th>
+                    <th className="p-3 text-left">Effect on Points</th>
+                  </tr>
+                </thead>
+                <tbody className="divide-y divide-blue-100">
+                  <tr className="bg-white">
+                    <td className="p-3 font-bold">Shift Up k units</td>
+                    <td className="p-3 font-mono text-blue-700">f(x) + k</td>
+                    <td className="p-3 text-slate-600">
+                      Entire graph moves up by k
+                    </td>
+                    <td className="p-3 text-slate-600">(x, y) → (x, y + k)</td>
+                  </tr>
+                  <tr className="bg-slate-50">
+                    <td className="p-3 font-bold">Shift Down k units</td>
+                    <td className="p-3 font-mono text-blue-700">f(x) − k</td>
+                    <td className="p-3 text-slate-600">
+                      Entire graph moves down by k
+                    </td>
+                    <td className="p-3 text-slate-600">(x, y) → (x, y − k)</td>
+                  </tr>
+                  <tr className="bg-red-50">
+                    <td className="p-3 font-bold text-red-900">
+                      Shift Right h units
+                    </td>
+                    <td className="p-3 font-mono text-red-700">f(x − h)</td>
+                    <td className="p-3 text-red-800">Graph moves RIGHT by h</td>
+                    <td className="p-3 text-red-700">(x, y) → (x + h, y)</td>
+                  </tr>
+                  <tr className="bg-red-50">
+                    <td className="p-3 font-bold text-red-900">
+                      Shift Left h units
+                    </td>
+                    <td className="p-3 font-mono text-red-700">f(x + h)</td>
+                    <td className="p-3 text-red-800">Graph moves LEFT by h</td>
+                    <td className="p-3 text-red-700">(x, y) → (x − h, y)</td>
+                  </tr>
+                  <tr className="bg-white">
+                    <td className="p-3 font-bold">Reflect over x-axis</td>
+                    <td className="p-3 font-mono text-blue-700">−f(x)</td>
+                    <td className="p-3 text-slate-600">
+                      Graph flips vertically
+                    </td>
+                    <td className="p-3 text-slate-600">(x, y) → (x, −y)</td>
+                  </tr>
+                  <tr className="bg-slate-50">
+                    <td className="p-3 font-bold">Reflect over y-axis</td>
+                    <td className="p-3 font-mono text-blue-700">f(−x)</td>
+                    <td className="p-3 text-slate-600">
+                      Graph flips horizontally
+                    </td>
+                    <td className="p-3 text-slate-600">(x, y) → (−x, y)</td>
+                  </tr>
+                </tbody>
+              </table>
+            </div>
+
+            {/* The #1 Trap */}
+            <div className="bg-red-100 border border-red-300 rounded-xl p-5">
+              <p className="font-bold text-red-900 text-base mb-2">
+                ⚠ The #1 Trap — Horizontal Shifts Are BACKWARDS
+              </p>
+              <p className="text-slate-700 text-sm mb-2">
+                f(x − 3) shifts the graph <strong>right 3</strong> (NOT left).
+                f(x + 2) shifts the graph <strong>left 2</strong> (NOT right).
+              </p>
+              <p className="text-slate-600 text-sm">
+                Why? Because to get the same y-value, x must be 3 larger. The
+                shift in the graph is always <em>opposite</em> to the sign
+                inside.
+              </p>
+              <div className="font-mono text-sm mt-2 bg-white rounded p-2 text-slate-700">
+                <p>f(x) = x² has vertex at (0, 0)</p>
+                <p>g(x) = (x − 3)² → vertex at (3, 0) → shifted RIGHT 3 ✓</p>
+                <p>h(x) = (x + 2)² → vertex at (−2, 0) → shifted LEFT 2 ✓</p>
+              </div>
+            </div>
+
+            {/* Combined Transformations */}
+            <div className="bg-white rounded-xl p-5 border border-blue-100">
+              <p className="font-bold text-blue-800 mb-3">
+                Combined Transformations — Apply in Order
+              </p>
+              <p className="text-slate-600 text-sm mb-3">
+                When multiple transformations are applied, you can read them
+                directly from the equation. Apply in this order: horizontal
+                shift → vertical stretch/compress → reflection → vertical shift.
+              </p>
+              <div className="space-y-3">
+                <div className="bg-blue-50 rounded-lg p-4 text-sm">
+                  <p className="font-semibold text-blue-800 mb-2">
+                    Example: g(x) = −f(x − 2) + 3
+                  </p>
+                  <div className="space-y-1 text-slate-700">
+                    <div className="flex gap-2">
+                      <span className="font-bold text-red-600">
+                        → shift right 2:
+                      </span>
+                      <span>f(x − 2) moves graph right 2</span>
+                    </div>
+                    <div className="flex gap-2">
+                      <span className="font-bold text-purple-600">
+                        → reflect over x-axis:
+                      </span>
+                      <span>−f(...) flips graph vertically</span>
+                    </div>
+                    <div className="flex gap-2">
+                      <span className="font-bold text-blue-600">
+                        → shift up 3:
+                      </span>
+                      <span>+ 3 moves graph up 3</span>
+                    </div>
+                    <p className="font-mono text-blue-700 font-bold mt-1">
+                      If f has point (4, 1), then g has point (4 + 2, −1 + 3) =
+                      (6, 2)
+                    </p>
+                  </div>
+                </div>
+
+                <div className="bg-blue-50 rounded-lg p-4 text-sm">
+                  <p className="font-semibold text-blue-800 mb-2">
+                    Example: h(x) = 2f(x + 1) − 4
+                  </p>
+                  <div className="space-y-1 text-slate-700">
+                    <div className="flex gap-2">
+                      <span className="font-bold text-red-600">
+                        → shift left 1:
+                      </span>
+                      <span>f(x + 1) moves graph left 1</span>
+                    </div>
+                    <div className="flex gap-2">
+                      <span className="font-bold text-green-600">
+                        → stretch vertically by 2:
+                      </span>
+                      <span>all y-values multiply by 2</span>
+                    </div>
+                    <div className="flex gap-2">
+                      <span className="font-bold text-blue-600">
+                        → shift down 4:
+                      </span>
+                      <span>− 4 moves graph down 4</span>
+                    </div>
+                  </div>
+                </div>
+              </div>
+            </div>
+
+            {/* SAT Question Type */}
+            <div className="bg-sky-50 border border-sky-200 rounded-xl p-4 text-sm">
+              <p className="font-bold text-sky-900 mb-1">
+                SAT Question Type: Table of Values
+              </p>
+              <p className="text-slate-700">
+                The SAT may give you a table of values for f(x) and ask for
+                values of g(x) = f(x − 2) + 1. Strategy: for each value in the
+                g(x) table, work backwards. To find g(3), you need f(3 − 2) + 1
+                = f(1) + 1. Look up f(1) in the original table, then add 1.
+              </p>
+            </div>
+          </div>
+
+          <LinearTransformationWidget />
+
+          <button
+            onClick={() => scrollToSection(1)}
+            className="mt-12 group flex items-center text-blue-600 font-bold hover:text-blue-800 transition-colors"
+          >
+            Next: Practice Quiz{" "}
+            <ArrowDown className="ml-2 w-5 h-5 group-hover:translate-y-1 transition-transform" />
+          </button>
+        </section>
+
+        {/* Section 2: Quiz */}
+        <section
+          ref={(el) => {
+            sectionsRef.current[1] = el;
+          }}
+          className="min-h-screen flex flex-col justify-center"
+        >
+          <h2 className="text-4xl font-extrabold text-slate-900 mb-8">
+            Practice Time
+          </h2>
+          {LINEAR_TRANSFORMATIONS_QUIZ_DATA.map((quiz, idx) => (
+            <div key={quiz.id} className="mb-12">
+              <Quiz data={quiz} />
+            </div>
+          ))}
+          <div className="p-8 bg-blue-900 rounded-2xl text-white text-center mt-12">
+            <h3 className="text-2xl font-bold mb-4">Topic Mastered!</h3>
+            <button
+              onClick={onFinish}
+              className="px-6 py-3 bg-white text-blue-900 font-bold rounded-full hover:bg-blue-50 transition-colors"
+            >
+              Finish Lesson ✓
+            </button>
+          </div>
+        </section>
+      </div>
+    </div>
+  );
+};
+
+export default LinearTransformationsLesson;