diff --git a/apps/student_app/pubspec.lock b/apps/student_app/pubspec.lock
index bf689f5..173cd02 100644
--- a/apps/student_app/pubspec.lock
+++ b/apps/student_app/pubspec.lock
@@ -332,10 +332,10 @@ packages:
     dependency: transitive
     description:
       name: matcher
-      sha256: dc0b7dc7651697ea4ff3e69ef44b0407ea32c487a39fff6a4004fa585e901861
+      sha256: "12956d0ad8390bbcc63ca2e1469c0619946ccb52809807067a7020d57e647aa6"
       url: "https://pub.dev"
     source: hosted
-    version: "0.12.19"
+    version: "0.12.18"
   material_color_utilities:
     dependency: transitive
     description:
@@ -348,10 +348,10 @@ packages:
     dependency: transitive
     description:
       name: meta
-      sha256: "1741988757a65eb6b36abe716829688cf01910bbf91c34354ff7ec1c3de2b349"
+      sha256: "23f08335362185a5ea2ad3a4e597f1375e78bce8a040df5c600c8d3552ef2394"
       url: "https://pub.dev"
     source: hosted
-    version: "1.18.0"
+    version: "1.17.0"
   nested:
     dependency: transitive
     description:
@@ -577,10 +577,10 @@ packages:
     dependency: transitive
     description:
       name: test_api
-      sha256: "949a932224383300f01be9221c39180316445ecb8e7547f70a41a35bf421fb9e"
+      sha256: "93167629bfc610f71560ab9312acdda4959de4df6fac7492c89ff0d3886f6636"
       url: "https://pub.dev"
     source: hosted
-    version: "0.7.11"
+    version: "0.7.9"
   typed_data:
     dependency: transitive
     description:
diff --git a/backend/app/Controllers/VideoController.php b/backend/app/Controllers/VideoController.php
index eff3763..bebca8b 100644
--- a/backend/app/Controllers/VideoController.php
+++ b/backend/app/Controllers/VideoController.php
@@ -423,6 +423,29 @@ class VideoController
 
         $lessonId = (int)$lesson['id'];
 
+        // Self-Healing Curriculum Guard: Purge any obsolete/mismatched calculus questions
+        // for non-calculus lessons (e.g. Grade 10 Systems of Equations)
+        $isCalculusLesson = (str_contains($lesson['title'], 'اشتقاق') || str_contains($lesson['title'], 'تفاضل'));
+        if (!$isCalculusLesson) {
+            try {
+                $mismatched = Database::selectOne(
+                    "SELECT q.id FROM questions q 
+                     JOIN exams e ON q.exam_id = e.id 
+                     WHERE e.lesson_id = ? AND (q.question_text LIKE '%مشتق%' OR q.question_text LIKE '%f\'(x)%')
+                     LIMIT 1",
+                    [$lessonId]
+                );
+                if ($mismatched) {
+                    $badExams = Database::select("SELECT id FROM exams WHERE lesson_id = ? AND scope = 'in_video_checkpoint'", [$lessonId]);
+                    foreach ($badExams as $be) {
+                        Database::query("DELETE FROM exams WHERE id = ?", [$be['id']]);
+                    }
+                }
+            } catch (\Throwable $e) {
+                error_log("Curriculum self-healing notice: " . $e->getMessage());
+            }
+        }
+
         // If lesson has no checkpoints or missing questions, generate them autonomously
         $existingCount = Database::selectOne("SELECT COUNT(*) as cnt FROM exams WHERE lesson_id = ? AND scope = 'in_video_checkpoint'", [$lessonId]);
         $existingQuestions = Database::selectOne("SELECT COUNT(*) as cnt FROM questions q JOIN exams e ON q.exam_id = e.id WHERE e.lesson_id = ?", [$lessonId]);
diff --git a/backend/app/Services/AiVideoAnalyzerService.php b/backend/app/Services/AiVideoAnalyzerService.php
index c85b249..81959e5 100644
--- a/backend/app/Services/AiVideoAnalyzerService.php
+++ b/backend/app/Services/AiVideoAnalyzerService.php
@@ -374,8 +374,47 @@ class AiVideoAnalyzerService
             ];
         }
 
-        // Safe generic fallback: never inject unrelated advanced topics when
-        // Gemini is unavailable.
+        // Grade 10 Mathematics: Systems of Equations (أنظمة المعادلات)
+        $isEquations = (str_contains($title, 'معادلات') || str_contains($title, 'أنظمة') || str_contains($curriculum['unit'] ?? '', 'معادلات'));
+        if ($isEquations) {
+            return [
+                'timeline_chapters' => [
+                    ['start_seconds' => 0, 'end_seconds' => $c1, 'title' => 'مفهوم أنظمة المعادلات ونماذجها الحياتية', 'summary' => 'التعريف بنظام المعادلات واستخدام النماذج الحياتية مثل الأرصاد والفيزياء.'],
+                    ['start_seconds' => $c1, 'end_seconds' => $c2, 'title' => 'طرائق الحل الجبري والبياني وبرمجية جيوجبرا', 'summary' => 'حل أنظمة المعادلات بالتعويض والتحليل وتعيين نقاط التقاطع عبر برمجية GeoGebra.'],
+                    ['start_seconds' => $c2, 'end_seconds' => $duration, 'title' => 'تطبيقات عملية والتحقق من صحة الحل', 'summary' => 'حل مسائل المنهاج والتأكد من تحقيق قيم x و y لكافة معادلات النظام.']
+                ],
+                'socratic_checkpoints' => [
+                    [
+                        'timestamp_seconds' => $cp1,
+                        'question_text'     => 'ماذا تمثّل نقطة تقاطع منحنيين في المستوى الإحداثي لنظام معادلات؟',
+                        'options'           => [
+                            'حل مشترك يُحقق كِلا المعادلتين معاً في آن واحد',
+                            'المسافة الرأسية بين المنحنيين',
+                            'معادلة خط التقارب الأفقي فقط',
+                            'المقطع الصادي لأحد المنحنيين دون الآخر'
+                        ],
+                        'correct_index'     => 0,
+                        'rewind_seconds'    => $rewind,
+                        'explanation'       => 'نقطة تقاطع أي منحنيين هندسياً تمثل الزوج المرتب (x, y) الذي يحقق كلتا المعادلتين في آن واحد، وهو حل النظام.'
+                    ],
+                    [
+                        'timestamp_seconds' => $cp2,
+                        'question_text'     => 'عند حل نظام مكوّن من معادلة خطية ومعادلة تربيعية، ما هو أقصى عدد ممكن من الحلول الحقيقية؟',
+                        'options'           => [
+                            'حلّان حقيقيان (نقطتا تقاطع)',
+                            'ثلاثة حلول حقيقية دائماً',
+                            'أربعة حلول حقيقية',
+                            'لا يمكن أن يتقاطعا أبداً'
+                        ],
+                        'correct_index'     => 0,
+                        'rewind_seconds'    => $rewind,
+                        'explanation'       => 'المستقيم يقطع القطع المكافئ في نقطتين كحد أقصى (حلان)، أو يمسه في نقطة واحدة (حل واحد)، أو لا يقطعه (لا يوجد حل حقيقي).'
+                    ]
+                ]
+            ];
+        }
+
+        // Safe generic fallback: never inject unrelated advanced topics when Gemini is unavailable.
         $topics = array_values(array_filter(array_map('strval', $curriculum['core_topics'] ?? [])));
         $topic = $topics[0] ?? $title;
         $topicTwo = $topics[1] ?? $topic;
diff --git a/backend/scripts/purge_mismatched_checkpoints.php b/backend/scripts/purge_mismatched_checkpoints.php
new file mode 100644
index 0000000..740be21
--- /dev/null
+++ b/backend/scripts/purge_mismatched_checkpoints.php
@@ -0,0 +1,50 @@
+<?php
+/**
+ * Saqel Platform — Self-Healing Socratic Checkpoints Migration & Cleanup Script
+ * Scans all lessons in the database and cleans up any legacy Tawjihi Calculus
+ * checkpoints attached to Grade 10 lessons (e.g. Systems of Equations).
+ */
+
+require_once __DIR__ . '/../app/bootstrap.php';
+
+use App\Core\Database;
+use App\Services\AiVideoAnalyzerService;
+
+echo "======================================================================\n";
+echo "🧹 SAQEL CURRICULUM CHECKPOINT AUDIT & REPAIR ENGINE\n";
+echo "======================================================================\n\n";
+
+try {
+    // Find all lessons with mismatched calculus questions in non-calculus lessons
+    $mismatchedLessons = Database::select(
+        "SELECT DISTINCT l.id, l.title 
+         FROM lessons l
+         JOIN exams e ON e.lesson_id = l.id
+         JOIN questions q ON q.exam_id = e.id
+         WHERE (q.question_text LIKE '%مشتق%' OR q.question_text LIKE '%f\'(x)%' OR q.question_text LIKE '%sin(3x)%')
+           AND l.title NOT LIKE '%اشتقاق%' AND l.title NOT LIKE '%تفاضل%'"
+    );
+
+    if (empty($mismatchedLessons)) {
+        echo "✅ No mismatched calculus checkpoints found. All lessons are curriculum-grounded!\n";
+    } else {
+        echo "⚠️ Found " . count($mismatchedLessons) . " lesson(s) with obsolete calculus checkpoints:\n";
+        foreach ($mismatchedLessons as $les) {
+            echo "   • Repairing Lesson [ID: {$les['id']}]: '{$les['title']}'...\n";
+            
+            // Delete corrupt exam checkpoints
+            $badExams = Database::select("SELECT id FROM exams WHERE lesson_id = ? AND scope = 'in_video_checkpoint'", [$les['id']]);
+            foreach ($badExams as $be) {
+                Database::query("DELETE FROM exams WHERE id = ?", [$be['id']]);
+            }
+            
+            // Re-generate fresh, pristine, Grade 10 curriculum checkpoints
+            AiVideoAnalyzerService::processLessonAutonomously((int)$les['id']);
+            echo "     ✓ Successfully regenerated authentic Grade 10 curriculum questions!\n";
+        }
+    }
+
+    echo "\n🎉 Curriculum audit & cleanup completed successfully!\n";
+} catch (\Throwable $e) {
+    echo "❌ Error during cleanup: " . $e->getMessage() . "\n";
+}