feat(lessons): add lessons from client db
This commit is contained in:
shafin-r
715
src/pages/student/lessons/LinesAnglesLesson.tsx
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715
src/pages/student/lessons/LinesAnglesLesson.tsx
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@ -0,0 +1,715 @@
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import React, { useRef, useState, useEffect } from "react";
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import {
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ArrowDown,
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Check,
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Target,
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Layers,
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Calculator,
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BookOpen,
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} from "lucide-react";
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import InteractiveTransversal from "../../../components/lessons/InteractiveTransversal";
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import InteractiveTriangle from "../../../components/lessons/InteractiveTriangle";
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import PolygonWidget from "../../../components/lessons/PolygonWidget";
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import Quiz from "../../../components/lessons/Quiz";
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import { ANGLES_QUIZ_DATA } from "../../../utils/constants";
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import { Frac } from "../../../components/Math";
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interface LessonProps {
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onFinish?: () => void;
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}
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const LinesAnglesLesson: React.FC<LessonProps> = ({ onFinish }) => {
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const [activeSection, setActiveSection] = useState(0);
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const sectionsRef = useRef<(HTMLElement | null)[]>([]);
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const scrollToSection = (index: number) => {
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setActiveSection(index);
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sectionsRef.current[index]?.scrollIntoView({
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behavior: "smooth",
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block: "start",
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});
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};
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useEffect(() => {
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const observer = new IntersectionObserver(
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(entries) => {
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entries.forEach((entry) => {
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if (entry.isIntersecting) {
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const index = sectionsRef.current.indexOf(
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entry.target as HTMLElement,
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);
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if (index !== -1) setActiveSection(index);
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}
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});
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},
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{ rootMargin: "-20% 0px -60% 0px" },
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);
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sectionsRef.current.forEach((section) => {
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if (section) observer.observe(section);
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});
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return () => observer.disconnect();
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}, []);
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const SectionMarker = ({
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index,
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title,
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icon: Icon,
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}: {
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index: number;
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title: string;
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icon: any;
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}) => {
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const isActive = activeSection === index;
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const isPast = activeSection > index;
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return (
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<button
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onClick={() => scrollToSection(index)}
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className={`flex items-center gap-3 p-3 w-full rounded-lg transition-all ${isActive ? "bg-white shadow-md border border-emerald-100" : "hover:bg-slate-100"}`}
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>
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<div
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className={`w-8 h-8 rounded-full flex items-center justify-center shrink-0 ${isActive ? "bg-emerald-600 text-white" : isPast ? "bg-emerald-400 text-white" : "bg-slate-200 text-slate-500"}`}
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>
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{isPast ? (
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<Check className="w-4 h-4" />
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) : (
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<Icon className="w-4 h-4" />
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)}
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</div>
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<div className="text-left">
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<p
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className={`text-sm font-bold ${isActive ? "text-emerald-900" : "text-slate-600"}`}
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>
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{title}
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</p>
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</div>
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</button>
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);
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};
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return (
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<div className="flex flex-col lg:flex-row min-h-screen">
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<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">
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<nav className="space-y-2">
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<SectionMarker index={0} title="Parallel Lines" icon={Target} />
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<SectionMarker index={1} title="Triangles" icon={Layers} />
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<SectionMarker
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index={2}
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title="Special Triangles"
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icon={Calculator}
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/>
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<SectionMarker index={3} title="Polygons" icon={Calculator} />
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<SectionMarker index={4} title="Practice" icon={BookOpen} />
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</nav>
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</aside>
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<div className="flex-1 lg:ml-64 p-6 md:p-12 max-w-4xl mx-auto">
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{/* Section 1: Parallel Lines */}
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<section
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ref={(el) => {
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sectionsRef.current[0] = el;
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}}
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className="min-h-screen flex flex-col justify-center mb-24 pt-20 lg:pt-0"
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>
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<h2 className="text-4xl font-extrabold text-slate-900 mb-6">
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Parallel Lines & Transversals
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</h2>
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<div className="prose prose-slate text-lg text-slate-600 mb-8">
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<p>
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When two parallel lines are cut by a transversal, 8 angles are
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formed. They fall into exactly two groups:{" "}
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<strong>equal angles</strong> and{" "}
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<strong>supplementary pairs</strong> (summing to 180°). Know one
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angle → find all eight.
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</p>
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</div>
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<div className="bg-emerald-50 border border-emerald-200 rounded-2xl p-6 mb-8 space-y-5">
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<h3 className="text-lg font-bold text-emerald-900">
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The 5 Angle-Pair Relationships
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</h3>
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<div className="overflow-x-auto rounded-xl border border-emerald-200">
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<table className="w-full text-sm border-collapse">
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<thead>
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<tr className="bg-emerald-900 text-white">
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<th className="p-3 text-left">Angle Pair</th>
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<th className="p-3 text-left">Location</th>
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<th className="p-3 text-left">Relationship</th>
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</tr>
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</thead>
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<tbody className="divide-y divide-emerald-100">
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<tr className="bg-emerald-50">
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<td className="p-3 font-bold text-emerald-800">
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Corresponding
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</td>
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<td className="p-3">
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Same side, same position at each intersection
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</td>
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<td className="p-3 font-bold text-emerald-700">Equal</td>
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</tr>
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<tr className="bg-white">
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<td className="p-3 font-bold text-emerald-800">
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Alternate Interior
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</td>
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<td className="p-3">
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Between the parallel lines, opposite sides
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</td>
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<td className="p-3 font-bold text-emerald-700">Equal</td>
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</tr>
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<tr className="bg-emerald-50">
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<td className="p-3 font-bold text-emerald-800">
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Alternate Exterior
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</td>
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<td className="p-3">
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Outside the parallel lines, opposite sides
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</td>
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<td className="p-3 font-bold text-emerald-700">Equal</td>
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</tr>
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<tr className="bg-white">
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<td className="p-3 font-bold text-slate-600">
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Co-Interior (Same-Side)
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</td>
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<td className="p-3">
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Between the lines, same side of transversal
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</td>
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<td className="p-3 font-bold text-rose-700">
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Supplementary (sum = 180°)
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</td>
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</tr>
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<tr className="bg-emerald-50">
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<td className="p-3 font-bold text-slate-600">
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Vertical Angles
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</td>
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<td className="p-3">
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Opposite each other at an intersection
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</td>
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<td className="p-3 font-bold text-emerald-700">Equal</td>
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</tr>
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</tbody>
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</table>
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</div>
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{/* Worked Example */}
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<div className="bg-white rounded-xl p-5 border border-emerald-100">
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<p className="font-bold text-emerald-800 mb-3">
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Worked Example: Find All 8 Angles
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</p>
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<p className="text-sm text-slate-700 mb-2">
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If one angle formed by a transversal cutting two parallel lines
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is 65°, find all other angles.
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</p>
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<div className="bg-emerald-50 rounded-lg p-4 text-sm font-mono text-slate-700 space-y-1">
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<p>
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Angle 1 = <strong>65°</strong> (given)
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</p>
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<p>
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Vertical angle = <strong>65°</strong> (vertical angles are
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equal)
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</p>
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<p>
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Corresponding angle = <strong>65°</strong> (corresponding
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angles are equal)
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</p>
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<p>
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Its vertical angle = <strong>65°</strong>
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</p>
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<p>
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All four supplementary angles = 180° − 65° ={" "}
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<strong>115°</strong>
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</p>
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<p className="mt-2 text-emerald-800 font-bold">
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Result: four 65° angles and four 115° angles.
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</p>
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</div>
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</div>
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<div className="bg-sky-50 border border-sky-200 rounded-xl p-4 text-sm">
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<p className="font-bold text-sky-900 mb-1">
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SAT Strategy: Label with x and 180 − x
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</p>
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<p className="text-slate-700">
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When angles are expressed algebraically, label all equal angles
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as "x" and all supplementary angles as "180 − x." Then set equal
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or add to 180 to solve.
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</p>
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<div className="font-mono text-xs bg-white rounded p-2 mt-2 text-slate-700">
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<p>
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Example: Corresponding angles → 3x + 15 = 2x + 45 → x = 30°
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</p>
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</div>
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</div>
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</div>
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<div className="mb-8">
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<InteractiveTransversal />
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</div>
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<button
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onClick={() => scrollToSection(1)}
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className="group flex items-center text-emerald-600 font-bold hover:text-emerald-800"
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>
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Next: Triangles{" "}
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<ArrowDown className="ml-2 w-5 h-5 group-hover:translate-y-1 transition-transform" />
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</button>
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</section>
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{/* Section 2: Triangles */}
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<section
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ref={(el) => {
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sectionsRef.current[1] = el;
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}}
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className="min-h-screen flex flex-col justify-center mb-24"
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>
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<h2 className="text-4xl font-extrabold text-slate-900 mb-6">
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Triangle Theorems
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</h2>
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<div className="prose prose-slate text-lg text-slate-600 mb-8">
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<p>
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Two essential theorems unlock almost every SAT triangle problem.
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The interactive tool below lets you drag vertices to verify both
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dynamically.
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</p>
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</div>
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<div className="bg-emerald-50 border border-emerald-200 rounded-2xl p-6 mb-8 space-y-5">
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<h3 className="text-lg font-bold text-emerald-900">
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Core Triangle Rules
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</h3>
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<div className="grid md:grid-cols-2 gap-4">
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<div className="bg-white rounded-xl p-5 border border-emerald-200">
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<p className="font-bold text-emerald-900 mb-1">
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Triangle Sum Theorem
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</p>
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<div className="font-mono text-center bg-emerald-50 py-2 rounded text-emerald-700 font-bold mb-2">
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∠A + ∠B + ∠C = 180°
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</div>
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<p className="text-sm text-slate-700">
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The three interior angles of any triangle always sum to
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exactly 180°. No exceptions.
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</p>
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</div>
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<div className="bg-white rounded-xl p-5 border border-emerald-200">
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<p className="font-bold text-emerald-900 mb-1">
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Exterior Angle Theorem
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</p>
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<div className="font-mono text-center bg-emerald-50 py-2 rounded text-emerald-700 font-bold mb-2">
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∠ext = ∠A + ∠B
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</div>
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<p className="text-sm text-slate-700">
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An exterior angle equals the sum of the two non-adjacent
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(remote) interior angles.
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</p>
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</div>
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</div>
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{/* Worked Examples */}
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<div className="bg-white rounded-xl p-5 border border-emerald-100">
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<p className="font-bold text-emerald-800 mb-3">Worked Examples</p>
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<div className="space-y-3">
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<div className="bg-emerald-50 rounded-lg p-4 text-sm">
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<p className="font-semibold text-emerald-800 mb-1">
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Example 1: Find a missing angle
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</p>
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<div className="font-mono text-xs text-slate-700 space-y-1">
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<p>Two angles are 47° and 83°. Find the third.</p>
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<p>
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∠C = 180° − 47° − 83° ={" "}
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<strong className="text-emerald-700">50°</strong>
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</p>
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</div>
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</div>
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<div className="bg-emerald-50 rounded-lg p-4 text-sm">
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<p className="font-semibold text-emerald-800 mb-1">
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Example 2: Exterior angle
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</p>
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<div className="font-mono text-xs text-slate-700 space-y-1">
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<p>
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Two interior angles are 40° and 65°. Find the exterior
|
||||
angle at the third vertex.
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</p>
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<p>
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∠ext = 40° + 65° ={" "}
|
||||
<strong className="text-emerald-700">105°</strong>
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</p>
|
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</div>
|
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</div>
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<div className="bg-emerald-50 rounded-lg p-4 text-sm">
|
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<p className="font-semibold text-emerald-800 mb-1">
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Example 3: Isosceles triangle
|
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</p>
|
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<div className="font-mono text-xs text-slate-700 space-y-1">
|
||||
<p>
|
||||
An isosceles triangle has vertex angle = 40°. Find the
|
||||
base angles.
|
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</p>
|
||||
<p>
|
||||
Each base angle = <Frac n="180° − 40°" d="2" /> ={" "}
|
||||
<Frac n="140°" d="2" /> ={" "}
|
||||
<strong className="text-emerald-700">70°</strong>
|
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</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
{/* Triangle Inequality */}
|
||||
<div className="bg-sky-50 border border-sky-200 rounded-xl p-4 text-sm">
|
||||
<p className="font-bold text-sky-900 mb-1">
|
||||
Triangle Inequality Theorem
|
||||
</p>
|
||||
<p className="text-slate-700 mb-2">
|
||||
Any two sides of a triangle must sum to more than the third
|
||||
side.
|
||||
</p>
|
||||
<div className="font-mono text-xs bg-white rounded p-2 text-slate-700">
|
||||
<p>a + b > c, a + c > b, b + c > a</p>
|
||||
<p className="mt-1">
|
||||
Example: Can a triangle have sides 3, 5, 9?
|
||||
</p>
|
||||
<p>3 + 5 = 8 < 9 → NO, not a valid triangle.</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<InteractiveTriangle />
|
||||
|
||||
<button
|
||||
onClick={() => scrollToSection(2)}
|
||||
className="mt-8 group flex items-center text-emerald-600 font-bold hover:text-emerald-800"
|
||||
>
|
||||
Next: Special Triangles{" "}
|
||||
<ArrowDown className="ml-2 w-5 h-5 group-hover:translate-y-1 transition-transform" />
|
||||
</button>
|
||||
</section>
|
||||
|
||||
{/* Section 3: Special Triangles */}
|
||||
<section
|
||||
ref={(el) => {
|
||||
sectionsRef.current[2] = el;
|
||||
}}
|
||||
className="min-h-screen flex flex-col justify-center mb-24"
|
||||
>
|
||||
<h2 className="text-4xl font-extrabold text-slate-900 mb-6">
|
||||
Special Right Triangles
|
||||
</h2>
|
||||
<div className="prose prose-slate text-lg text-slate-600 mb-8">
|
||||
<p>
|
||||
These two triangle types appear constantly on the SAT. Memorize
|
||||
their side ratios so you can find any missing side without using
|
||||
the Pythagorean theorem.
|
||||
</p>
|
||||
</div>
|
||||
|
||||
<div className="bg-emerald-50 border border-emerald-200 rounded-2xl p-6 mb-8 space-y-5">
|
||||
<h3 className="text-lg font-bold text-emerald-900">
|
||||
The Two Special Right Triangles
|
||||
</h3>
|
||||
|
||||
<div className="grid md:grid-cols-2 gap-4">
|
||||
<div className="bg-white rounded-xl p-5 border border-emerald-200">
|
||||
<p className="font-bold text-emerald-900 mb-2">
|
||||
45° — 45° — 90°
|
||||
</p>
|
||||
<div className="font-mono text-center bg-emerald-50 py-3 rounded text-emerald-700 font-bold text-lg mb-2">
|
||||
Sides: 1 : 1 : √2
|
||||
</div>
|
||||
<p className="text-sm text-slate-700 mb-2">
|
||||
Two equal legs. Hypotenuse = leg × √2.
|
||||
</p>
|
||||
<div className="font-mono text-xs bg-slate-50 rounded p-2 text-slate-700">
|
||||
<p>If leg = 5: hyp = 5√2</p>
|
||||
<p>
|
||||
If hyp = 8: leg = <Frac n="8" d="√2" /> = 4√2
|
||||
</p>
|
||||
</div>
|
||||
</div>
|
||||
<div className="bg-white rounded-xl p-5 border border-emerald-200">
|
||||
<p className="font-bold text-emerald-900 mb-2">
|
||||
30° — 60° — 90°
|
||||
</p>
|
||||
<div className="font-mono text-center bg-emerald-50 py-3 rounded text-emerald-700 font-bold text-lg mb-2">
|
||||
Sides: 1 : √3 : 2
|
||||
</div>
|
||||
<p className="text-sm text-slate-700 mb-2">
|
||||
Shortest leg opposite 30°. Hypotenuse = 2 × short leg.
|
||||
</p>
|
||||
<div className="font-mono text-xs bg-slate-50 rounded p-2 text-slate-700">
|
||||
<p>Short leg = 4: long leg = 4√3, hyp = 8</p>
|
||||
<p>Hyp = 10: short leg = 5, long leg = 5√3</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
{/* Pythagorean Theorem */}
|
||||
<div className="bg-white rounded-xl p-5 border border-emerald-100">
|
||||
<p className="font-bold text-emerald-800 mb-3">
|
||||
Pythagorean Theorem & Common Triples
|
||||
</p>
|
||||
<div className="font-mono text-center bg-emerald-50 py-2 rounded text-emerald-700 font-bold text-lg mb-3">
|
||||
a² + b² = c²
|
||||
</div>
|
||||
<p className="text-sm text-slate-600 mb-3">
|
||||
c is always the hypotenuse (opposite the right angle). Memorize
|
||||
these Pythagorean triples — they appear frequently on the SAT:
|
||||
</p>
|
||||
<div className="overflow-x-auto rounded-xl border border-emerald-200">
|
||||
<table className="w-full text-sm border-collapse">
|
||||
<thead>
|
||||
<tr className="bg-emerald-900 text-white">
|
||||
<th className="p-2 text-center">Triple (a, b, c)</th>
|
||||
<th className="p-2 text-center">Scaled Version</th>
|
||||
<th className="p-2 text-center">Verify</th>
|
||||
</tr>
|
||||
</thead>
|
||||
<tbody className="divide-y divide-emerald-100">
|
||||
<tr className="bg-white text-center">
|
||||
<td className="p-2 font-bold">3, 4, 5</td>
|
||||
<td className="p-2 text-slate-600">6-8-10, 9-12-15</td>
|
||||
<td className="p-2 font-mono text-xs">9 + 16 = 25 ✓</td>
|
||||
</tr>
|
||||
<tr className="bg-emerald-50 text-center">
|
||||
<td className="p-2 font-bold">5, 12, 13</td>
|
||||
<td className="p-2 text-slate-600">10-24-26</td>
|
||||
<td className="p-2 font-mono text-xs">
|
||||
25 + 144 = 169 ✓
|
||||
</td>
|
||||
</tr>
|
||||
<tr className="bg-white text-center">
|
||||
<td className="p-2 font-bold">8, 15, 17</td>
|
||||
<td className="p-2 text-slate-600">—</td>
|
||||
<td className="p-2 font-mono text-xs">
|
||||
64 + 225 = 289 ✓
|
||||
</td>
|
||||
</tr>
|
||||
<tr className="bg-emerald-50 text-center">
|
||||
<td className="p-2 font-bold">7, 24, 25</td>
|
||||
<td className="p-2 text-slate-600">—</td>
|
||||
<td className="p-2 font-mono text-xs">
|
||||
49 + 576 = 625 ✓
|
||||
</td>
|
||||
</tr>
|
||||
</tbody>
|
||||
</table>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
{/* Worked examples */}
|
||||
<div className="space-y-3">
|
||||
<div className="bg-sky-50 rounded-xl p-4 border border-sky-200 text-sm">
|
||||
<p className="font-semibold text-sky-800 mb-2">
|
||||
Worked Example: 30-60-90
|
||||
</p>
|
||||
<div className="font-mono text-xs text-slate-700 space-y-1">
|
||||
<p>
|
||||
An equilateral triangle has side length 10. Find the height.
|
||||
</p>
|
||||
<p>The height bisects it into two 30-60-90 triangles.</p>
|
||||
<p>Short leg (half the base) = 5</p>
|
||||
<p>
|
||||
Long leg (height) = 5√3 ≈{" "}
|
||||
<strong className="text-sky-800">8.66</strong>
|
||||
</p>
|
||||
</div>
|
||||
</div>
|
||||
<div className="bg-sky-50 rounded-xl p-4 border border-sky-200 text-sm">
|
||||
<p className="font-semibold text-sky-800 mb-2">
|
||||
Worked Example: Pythagorean Triple
|
||||
</p>
|
||||
<div className="font-mono text-xs text-slate-700 space-y-1">
|
||||
<p>
|
||||
A right triangle has legs 9 and 12. Find the hypotenuse.
|
||||
</p>
|
||||
<p>Recognize: 9 and 12 are multiples of 3 and 4 (× 3).</p>
|
||||
<p>
|
||||
This is a 3-4-5 triple × 3: hypotenuse ={" "}
|
||||
<strong className="text-sky-800">15</strong>
|
||||
</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<button
|
||||
onClick={() => scrollToSection(3)}
|
||||
className="group flex items-center text-emerald-600 font-bold hover:text-emerald-800"
|
||||
>
|
||||
Next: Polygons{" "}
|
||||
<ArrowDown className="ml-2 w-5 h-5 group-hover:translate-y-1 transition-transform" />
|
||||
</button>
|
||||
</section>
|
||||
|
||||
{/* Section 4: Polygons */}
|
||||
<section
|
||||
ref={(el) => {
|
||||
sectionsRef.current[3] = el;
|
||||
}}
|
||||
className="min-h-screen flex flex-col justify-center mb-24"
|
||||
>
|
||||
<h2 className="text-4xl font-extrabold text-slate-900 mb-6">
|
||||
Polygons
|
||||
</h2>
|
||||
<div className="prose prose-slate text-lg text-slate-600 mb-8">
|
||||
<p>
|
||||
Polygon angle rules extend triangle logic — any polygon can be
|
||||
divided into triangles, which is where the interior angle sum
|
||||
formula comes from.
|
||||
</p>
|
||||
</div>
|
||||
|
||||
<div className="bg-emerald-50 border border-emerald-200 rounded-2xl p-6 mb-8 space-y-5">
|
||||
<h3 className="text-lg font-bold text-emerald-900">
|
||||
Polygon Angle Formulas
|
||||
</h3>
|
||||
|
||||
<div className="grid md:grid-cols-2 gap-4">
|
||||
<div className="bg-white rounded-xl p-5 border border-emerald-200">
|
||||
<p className="font-bold text-emerald-900 mb-1">
|
||||
Interior Angle Sum
|
||||
</p>
|
||||
<div className="font-mono text-center bg-emerald-50 py-2 rounded text-emerald-700 font-bold mb-2">
|
||||
(n − 2) × 180°
|
||||
</div>
|
||||
<p className="text-xs text-slate-600">
|
||||
n = number of sides. Triangle: 180° | Quadrilateral: 360° |
|
||||
Pentagon: 540° | Hexagon: 720°
|
||||
</p>
|
||||
</div>
|
||||
<div className="bg-white rounded-xl p-5 border border-emerald-200">
|
||||
<p className="font-bold text-emerald-900 mb-1">
|
||||
Exterior Angle Sum
|
||||
</p>
|
||||
<div className="font-mono text-center bg-emerald-50 py-2 rounded text-emerald-700 font-bold mb-2">
|
||||
Always = 360°
|
||||
</div>
|
||||
<p className="text-xs text-slate-600">
|
||||
True for ALL convex polygons, regardless of n. Imagine walking
|
||||
around the polygon — you turn a full circle.
|
||||
</p>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
{/* Reference table */}
|
||||
<div className="bg-white rounded-xl p-5 border border-emerald-100">
|
||||
<p className="font-bold text-emerald-800 mb-3">
|
||||
Quick Reference: Regular Polygons
|
||||
</p>
|
||||
<div className="overflow-x-auto rounded-xl border border-emerald-200">
|
||||
<table className="w-full text-sm border-collapse">
|
||||
<thead>
|
||||
<tr className="bg-emerald-900 text-white">
|
||||
<th className="p-2 text-center">Polygon</th>
|
||||
<th className="p-2 text-center">Sides (n)</th>
|
||||
<th className="p-2 text-center">Interior Sum</th>
|
||||
<th className="p-2 text-center">Each Interior Angle</th>
|
||||
</tr>
|
||||
</thead>
|
||||
<tbody className="divide-y divide-emerald-100 text-center">
|
||||
<tr className="bg-white">
|
||||
<td className="p-2">Triangle</td>
|
||||
<td className="p-2">3</td>
|
||||
<td className="p-2">180°</td>
|
||||
<td className="p-2">60°</td>
|
||||
</tr>
|
||||
<tr className="bg-emerald-50">
|
||||
<td className="p-2">Quadrilateral</td>
|
||||
<td className="p-2">4</td>
|
||||
<td className="p-2">360°</td>
|
||||
<td className="p-2">90°</td>
|
||||
</tr>
|
||||
<tr className="bg-white">
|
||||
<td className="p-2">Pentagon</td>
|
||||
<td className="p-2">5</td>
|
||||
<td className="p-2">540°</td>
|
||||
<td className="p-2">108°</td>
|
||||
</tr>
|
||||
<tr className="bg-emerald-50">
|
||||
<td className="p-2">Hexagon</td>
|
||||
<td className="p-2">6</td>
|
||||
<td className="p-2">720°</td>
|
||||
<td className="p-2">120°</td>
|
||||
</tr>
|
||||
<tr className="bg-white">
|
||||
<td className="p-2">Octagon</td>
|
||||
<td className="p-2">8</td>
|
||||
<td className="p-2">1080°</td>
|
||||
<td className="p-2">135°</td>
|
||||
</tr>
|
||||
</tbody>
|
||||
</table>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
{/* Formula for one angle */}
|
||||
<div className="bg-slate-50 border border-slate-200 rounded-xl p-4 text-sm">
|
||||
<p className="font-bold text-slate-800 mb-1">
|
||||
Each Interior Angle of a Regular n-gon
|
||||
</p>
|
||||
<div className="font-mono text-center bg-white py-2 rounded text-slate-700 font-bold mb-2">
|
||||
<Frac n="(n − 2) × 180°" d="n" />
|
||||
</div>
|
||||
<p className="text-slate-600 text-xs">
|
||||
Example: Regular hexagon → <Frac n="(6 − 2) × 180°" d="6" /> ={" "}
|
||||
<Frac n="720°" d="6" /> = <strong>120°</strong>
|
||||
</p>
|
||||
<p className="text-slate-600 text-xs mt-1">
|
||||
Example: Regular octagon → <Frac n="(8 − 2) × 180°" d="8" /> ={" "}
|
||||
<Frac n="1080°" d="8" /> = <strong>135°</strong>
|
||||
</p>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<PolygonWidget />
|
||||
|
||||
<button
|
||||
onClick={() => scrollToSection(4)}
|
||||
className="mt-12 group flex items-center text-emerald-600 font-bold hover:text-emerald-800"
|
||||
>
|
||||
Next: Practice{" "}
|
||||
<ArrowDown className="ml-2 w-5 h-5 group-hover:translate-y-1 transition-transform" />
|
||||
</button>
|
||||
</section>
|
||||
|
||||
{/* Section 5: Quiz */}
|
||||
<section
|
||||
ref={(el) => {
|
||||
sectionsRef.current[4] = el;
|
||||
}}
|
||||
className="min-h-screen flex flex-col justify-center"
|
||||
>
|
||||
<div className="flex items-center gap-4 mb-8">
|
||||
<div className="p-3 bg-emerald-100 rounded-full">
|
||||
<BookOpen className="w-8 h-8 text-emerald-600" />
|
||||
</div>
|
||||
<h2 className="text-4xl font-extrabold text-slate-900">
|
||||
Practice Time
|
||||
</h2>
|
||||
</div>
|
||||
|
||||
{ANGLES_QUIZ_DATA.map((quiz, idx) => (
|
||||
<div key={quiz.id} className="mb-12">
|
||||
<div className="flex items-center gap-2 mb-4">
|
||||
<span className="bg-slate-200 text-slate-600 text-xs font-bold px-2 py-1 rounded uppercase">
|
||||
Question {idx + 1}
|
||||
</span>
|
||||
</div>
|
||||
<Quiz data={quiz} />
|
||||
</div>
|
||||
))}
|
||||
|
||||
<div className="p-8 bg-emerald-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-emerald-900 font-bold rounded-full hover:bg-emerald-50 transition-colors"
|
||||
>
|
||||
Finish Lesson ✓
|
||||
</button>
|
||||
</div>
|
||||
</section>
|
||||
</div>
|
||||
</div>
|
||||
);
|
||||
};
|
||||
|
||||
export default LinesAnglesLesson;
|
||||
Reference in New Issue
Block a user