Chers finalistes, préparez-vous pour le grand jour avec nos contenus !

Des items de toutes les options taillés sur mesure pour que vous prépariez mieux vos épreuves

Start learning
Le complément d'un nombre
Matériel didactique : Illustration du maitre,craies et tableau noir
Objectif opérationnel : Au terme de cette séquence didactique chaque apprenants sera en mesure de reconnaître,distinguer,définir et trouver la réponse du complément d'un nombre.

Rappel

Citez les grands nombres de la numérotation entière.

Rappel

Les grands nombres de la numérotation entière :10,20,50,80,90,100.

Motivation

Illustration du maitre au tableau

  • 7+.........=10
  • 15+.......=20

Motivation

Les élèves suivent l'illustration du maitre.

  • 7+.........=10 
  • 7+3=10
  • 15+.......=20 
  • 15+5= 20

Le complément est le nombre ajouté pour avoir un nombre rond.

Annonce du sujet

Quelle est la leçon du jour ?

Annonce du sujet

Aujourd'hui en opérations nous allons apprendre le complément d'un nombre.

Que doit-on faire pour trouver un complément?

Exemple

64=, 58 = ,45=?

Pour trouver un complément,on prend le chiffre rond moins le nombre.

Exemple

  • 64=100-64=36 
  • 100-58 = 42 
  • 100-45= 55

Qu'est-ce que nous venons étudier en opérations?

Nous venons d'étudier le complément d'un nombre qui s'ajoute pour avoir un nombre rond.

8.1.28PHP Version175msRequest Duration6MBMemory UsageGET lessons/{id}/{slug}Route
    • Booting (50.17ms)
    • Application (125ms)
    • 1 x Application (71.26%)
      124.63ms
      1 x Booting (28.69%)
      50.17ms
      7 templates were rendered
      • public.lessons.show (resources/views/public/lessons/show.blade.php)2bladefile
        Params
        0
        lesson
        1
        lessons
      • components.banner-page (resources/views/components/banner-page.blade.php)7bladefile
        Params
        0
        property
        1
        firstTitle
        2
        secondTitle
        3
        src
        4
        attributes
        5
        slot
        6
        __laravel_slots
      • components.ad-card-lesson-long (resources/views/components/ad-card-lesson-long.blade.php)7bladefile
        Params
        0
        summary
        1
        title
        2
        actionLink
        3
        actionText
        4
        attributes
        5
        slot
        6
        __laravel_slots
      • components.button-link (resources/views/components/button-link.blade.php)6bladefile
        Params
        0
        class
        1
        title
        2
        href
        3
        attributes
        4
        slot
        5
        __laravel_slots
      • layouts.public (resources/views/layouts/public.blade.php)10bladefile
        Params
        0
        __env
        1
        app
        2
        errors
        3
        lesson
        4
        lessons
        5
        component
        6
        __currentLoopData
        7
        lesson_
        8
        loop
        9
        section
      • layouts.include.public.header (resources/views/layouts/include/public/header.blade.php)10bladefile
        Params
        0
        __env
        1
        app
        2
        errors
        3
        lesson
        4
        lessons
        5
        component
        6
        __currentLoopData
        7
        lesson_
        8
        loop
        9
        section
      • layouts.include.public.footer (resources/views/layouts/include/public/footer.blade.php)10bladefile
        Params
        0
        __env
        1
        app
        2
        errors
        3
        lesson
        4
        lessons
        5
        component
        6
        __currentLoopData
        7
        lesson_
        8
        loop
        9
        section
      uri
      GET lessons/{id}/{slug}
      middleware
      web
      controller
      App\Http\Controllers\Public\LessonController@show
      as
      public.lesson.show
      namespace
      prefix
      /lessons
      where
      file
      app/Http/Controllers/Public/LessonController.php:86-138
      36 statements were executed68.37ms
      • select * from `oldt_posts` where (`id` = '1931' and `slug` = 'le-complement-dun-nombre') and exists (select * from `oldt_material_sheets` where `oldt_posts`.`material_sheet_id` = `oldt_material_sheets`.`id`) limit 1
        5.74ms/app/Http/Controllers/Public/LessonController.php:92schoolap
        Metadata
        Bindings
        • 0. 1931
        • 1. le-complement-dun-nombre
        Backtrace
        • 15. /app/Http/Controllers/Public/LessonController.php:92
        • 16. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 17. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `lessons` where `lessons`.`id` = '1931' and `lessons`.`deleted_at` is null limit 1
        620μs/app/Repositories/LessonRepository.php:41schoolap
        Metadata
        Bindings
        • 0. 1931
        Backtrace
        • 19. /app/Repositories/LessonRepository.php:41
        • 20. /app/Http/Controllers/Public/LessonController.php:95
        • 21. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 22. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 23. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • select * from `lessons` where `lessons`.`deleted_at` is null order by RAND() limit 4
        36.37ms/app/Http/Controllers/Public/LessonController.php:96schoolap
        Metadata
        Backtrace
        • 14. /app/Http/Controllers/Public/LessonController.php:96
        • 15. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 16. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 17. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • update `lessons` set `count_view` = `count_view` + 1, `lessons`.`updated_at` = '2025-04-30 22:01:22' where `id` = 1931 and `lessons`.`deleted_at` is null
        4.67ms/app/Http/Controllers/Public/LessonController.php:98schoolap
        Metadata
        Bindings
        • 0. 2025-04-30 22:01:22
        • 1. 1931
        Backtrace
        • 16. /app/Http/Controllers/Public/LessonController.php:98
        • 17. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 20. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `chapters` where `chapters`.`id` = 579 and `chapters`.`deleted_at` is null limit 1
        1.13msview::public.lessons.show:10schoolap
        Metadata
        Bindings
        • 0. 579
        Backtrace
        • 20. view::public.lessons.show:10
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `course_classes` where `course_classes`.`id` = 239 and `course_classes`.`deleted_at` is null limit 1
        880μsview::public.lessons.show:10schoolap
        Metadata
        Bindings
        • 0. 239
        Backtrace
        • 20. view::public.lessons.show:10
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `classes` where `classes`.`id` in (52) and `classes`.`deleted_at` is null
        800μsview::public.lessons.show:10schoolap
        Metadata
        Backtrace
        • 25. view::public.lessons.show:10
        • 27. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 28. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 29. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 30. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `cycle_levels` where `cycle_levels`.`id` in (63)
        600μsview::public.lessons.show:10schoolap
        Metadata
        Backtrace
        • 30. view::public.lessons.show:10
        • 32. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 33. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 34. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 35. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `cycles` where `cycles`.`id` in (10)
        490μsview::public.lessons.show:10schoolap
        Metadata
        Backtrace
        • 35. view::public.lessons.show:10
        • 37. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 38. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 39. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 40. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `levels` where `levels`.`id` in (27)
        420μsview::public.lessons.show:10schoolap
        Metadata
        Backtrace
        • 35. view::public.lessons.show:10
        • 37. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 38. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 39. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 40. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `courses` where `courses`.`id` in (129) and `courses`.`deleted_at` is null
        390μsview::public.lessons.show:10schoolap
        Metadata
        Backtrace
        • 25. view::public.lessons.show:10
        • 27. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 28. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 29. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 30. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_sections` where `lesson_sections`.`lesson_id` = 1931 and `lesson_sections`.`lesson_id` is not null
        730μsview::public.lessons.show:116schoolap
        Metadata
        Bindings
        • 0. 1931
        Backtrace
        • 19. view::public.lessons.show:116
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 17631 and `lesson_contents`.`deleted_at` is null limit 1
        1.13msview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 17631
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 17414 and `content_texts`.`deleted_at` is null limit 1
        1.06msview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 17414
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 17632 and `lesson_contents`.`deleted_at` is null limit 1
        820μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 17632
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 17415 and `content_texts`.`deleted_at` is null limit 1
        580μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 17415
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 17633 and `lesson_contents`.`deleted_at` is null limit 1
        670μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 17633
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 17416 and `content_texts`.`deleted_at` is null limit 1
        470μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 17416
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 17634 and `lesson_contents`.`deleted_at` is null limit 1
        1.15msview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 17634
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 17417 and `content_texts`.`deleted_at` is null limit 1
        540μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 17417
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 17635 and `lesson_contents`.`deleted_at` is null limit 1
        830μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 17635
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 17418 and `content_texts`.`deleted_at` is null limit 1
        680μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 17418
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 17636 and `lesson_contents`.`deleted_at` is null limit 1
        530μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 17636
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 17419 and `content_texts`.`deleted_at` is null limit 1
        870μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 17419
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 17637 and `lesson_contents`.`deleted_at` is null limit 1
        600μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 17637
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 17420 and `content_texts`.`deleted_at` is null limit 1
        430μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 17420
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 17638 and `lesson_contents`.`deleted_at` is null limit 1
        830μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 17638
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 17421 and `content_texts`.`deleted_at` is null limit 1
        620μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 17421
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 17639 and `lesson_contents`.`deleted_at` is null limit 1
        540μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 17639
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 17422 and `content_texts`.`deleted_at` is null limit 1
        450μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 17422
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 17640 and `lesson_contents`.`deleted_at` is null limit 1
        460μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 17640
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 17423 and `content_texts`.`deleted_at` is null limit 1
        290μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 17423
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 17641 and `lesson_contents`.`deleted_at` is null limit 1
        320μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 17641
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 17424 and `content_texts`.`deleted_at` is null limit 1
        350μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 17424
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 17642 and `lesson_contents`.`deleted_at` is null limit 1
        400μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 17642
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 17425 and `content_texts`.`deleted_at` is null limit 1
        910μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 17425
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      App\Models\ContentText
      12
      App\Models\Lesson\LessonContent
      12
      App\Models\Lesson\LessonSection
      12
      App\Models\Course\Course
      1
      App\Models\Level
      1
      App\Models\Cycle
      1
      App\Models\CycleLevel
      1
      App\Models\Classe
      1
      App\Models\Course\CourseClass
      1
      App\Models\Chapter
      1
      App\Models\Lesson\Lesson
      5
        _token
        uGyz4VO7pQXWXHro7rkhFBvnX4QFoEyz5tVrEFLB
        applocale
        en
        _previous
        array:1 [ "url" => "https://s8.schoolap.com/lessons/1931/le-complement-dun-nombre" ]
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /lessons/1931/le-complement-dun-nombre
        status_code
        200
        
        status_text
        OK
        format
        html
        content_type
        text/html; charset=UTF-8
        request_query
        []
        
        request_request
        []
        
        request_headers
        0 of 0
        array:17 [ "accept-encoding" => array:1 [ 0 => "gzip, deflate, br, zstd" ] "sec-fetch-dest" => array:1 [ 0 => "document" ] "sec-fetch-user" => array:1 [ 0 => "?1" ] "sec-fetch-mode" => array:1 [ 0 => "navigate" ] "sec-fetch-site" => array:1 [ 0 => "none" ] "accept" => array:1 [ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [ 0 => "1" ] "sec-ch-ua-platform" => array:1 [ 0 => ""Windows"" ] "sec-ch-ua-mobile" => array:1 [ 0 => "?0" ] "sec-ch-ua" => array:1 [ 0 => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99"" ] "cache-control" => array:1 [ 0 => "no-cache" ] "pragma" => array:1 [ 0 => "no-cache" ] "connection" => array:1 [ 0 => "keep-alive" ] "host" => array:1 [ 0 => "s8.schoolap.com" ] "content-length" => array:1 [ 0 => "" ] "content-type" => array:1 [ 0 => "" ] ]
        request_server
        0 of 0
        array:41 [ "USER" => "www-data" "HOME" => "/var/www" "HTTP_ACCEPT_ENCODING" => "gzip, deflate, br, zstd" "HTTP_SEC_FETCH_DEST" => "document" "HTTP_SEC_FETCH_USER" => "?1" "HTTP_SEC_FETCH_MODE" => "navigate" "HTTP_SEC_FETCH_SITE" => "none" "HTTP_ACCEPT" => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" "HTTP_USER_AGENT" => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" "HTTP_UPGRADE_INSECURE_REQUESTS" => "1" "HTTP_SEC_CH_UA_PLATFORM" => ""Windows"" "HTTP_SEC_CH_UA_MOBILE" => "?0" "HTTP_SEC_CH_UA" => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99"" "HTTP_CACHE_CONTROL" => "no-cache" "HTTP_PRAGMA" => "no-cache" "HTTP_CONNECTION" => "keep-alive" "HTTP_HOST" => "s8.schoolap.com" "REDIRECT_STATUS" => "200" "SERVER_NAME" => "s8.schoolap.com" "SERVER_PORT" => "443" "SERVER_ADDR" => "188.166.147.66" "REMOTE_PORT" => "62397" "REMOTE_ADDR" => "18.222.71.250" "SERVER_SOFTWARE" => "nginx/1.18.0" "GATEWAY_INTERFACE" => "CGI/1.1" "HTTPS" => "on" "REQUEST_SCHEME" => "https" "SERVER_PROTOCOL" => "HTTP/1.1" "DOCUMENT_ROOT" => "/var/www/s8.schoolap.com/public" "DOCUMENT_URI" => "/index.php" "REQUEST_URI" => "/lessons/1931/le-complement-dun-nombre" "SCRIPT_NAME" => "/index.php" "CONTENT_LENGTH" => "" "CONTENT_TYPE" => "" "REQUEST_METHOD" => "GET" "QUERY_STRING" => "" "SCRIPT_FILENAME" => "/var/www/s8.schoolap.com/public/index.php" "FCGI_ROLE" => "RESPONDER" "PHP_SELF" => "/index.php" "REQUEST_TIME_FLOAT" => 1746050482.6236 "REQUEST_TIME" => 1746050482 ]
        request_cookies
        []
        
        response_headers
        0 of 0
        array:5 [ "content-type" => array:1 [ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [ 0 => "no-cache, private" ] "date" => array:1 [ 0 => "Wed, 30 Apr 2025 22:01:22 GMT" ] "set-cookie" => array:3 [ 0 => "lang_schoolap=eyJpdiI6IkMrOU1ZVGlQQVhqS0ZUSENud2U0VXc9PSIsInZhbHVlIjoiQ21sMS9VWVowdkF3R0lHb1NwMHIwQ01peDJsVFdlRkpYSFp6aUJpbExZMzJRejduYUVCZEtldWc2WXBId3R6aSIsIm1hYyI6IjcwZGMwYmE3ODg5ODAxMGNjNWVlNzM3MzdjMzczMzcyMDJkNDI2ZTQ0Zjg5NDVjNmRmNWU1ZjRhMmM4Yjg1NTEiLCJ0YWciOiIifQ%3D%3D; expires=Wed, 07 May 2025 20:41:22 GMT; Max-Age=600000; path=/; httponly; samesite=laxlang_schoolap=eyJpdiI6IkMrOU1ZVGlQQVhqS0ZUSENud2U0VXc9PSIsInZhbHVlIjoiQ21sMS9VWVowdkF3R0lHb1NwMHIwQ01peDJsVFdlRkpYSFp6aUJpbExZMzJRejduYUVCZEtldWc2WXBId3R6aSIsIm" 1 => "XSRF-TOKEN=eyJpdiI6ImhGd2t6UEhVYXlTVVA3UVhpakF5cmc9PSIsInZhbHVlIjoiWDRVcnhGV09LS1BmNThrVlV3MG5ld2hXd0daa2xiaTdoMElkajQ4ZUtKcDFzbUpEekdGa3lBdlZUMkVXdnJrUjJMTHkwM1B3OWpZVU5acmJDSUM2NGlISnBvS1BVdlNsOCsyTVk0TmNwQ1R6SHRURHY4UjhMd0lhdDIvalh1N1MiLCJtYWMiOiI2OWNjZDhkZWEzMzNjZTk3YTUwNTkwOGVhM2FhNDQzMDNkNzNkMzA1YjM4MDEwZjBiMzY0MTdlMjIyYTg4YjFhIiwidGFnIjoiIn0%3D; expires=Thu, 01 May 2025 00:01:22 GMT; Max-Age=7200; path=/; samesite=laxXSRF-TOKEN=eyJpdiI6ImhGd2t6UEhVYXlTVVA3UVhpakF5cmc9PSIsInZhbHVlIjoiWDRVcnhGV09LS1BmNThrVlV3MG5ld2hXd0daa2xiaTdoMElkajQ4ZUtKcDFzbUpEekdGa3lBdlZUMkVXdnJrUjJMTHkwM" 2 => "schoolap_session=eyJpdiI6IklJMm5ON2dISkpIMityWGx2U2FKcVE9PSIsInZhbHVlIjoiSUVlcG5yalFPM3Fsdnd3YmRjKzhYaklqazlEelRCbTZ6ZWdxeEJnQnUwc0tLOGhFbHFudE1TcFBrL3RQT0tMNFFFVjMzS0kwMXNGbXZKMWY2T0tMWGM3Y1Zxa0pJeDFDTlZGMkVzc3VEZ254d0dkM1I2LytaRFlBNW9EOC9URlYiLCJtYWMiOiI0NWE4MzEwODc2ZDJjNzMyZmRmMjc0OWNjNjgyZGNhZDkzMmFkY2JjMGYyMjIyMjYxNzhkMzA3MzhlN2Q0ZWJmIiwidGFnIjoiIn0%3D; expires=Thu, 01 May 2025 00:01:22 GMT; Max-Age=7200; path=/; httponly; samesite=laxschoolap_session=eyJpdiI6IklJMm5ON2dISkpIMityWGx2U2FKcVE9PSIsInZhbHVlIjoiSUVlcG5yalFPM3Fsdnd3YmRjKzhYaklqazlEelRCbTZ6ZWdxeEJnQnUwc0tLOGhFbHFudE1TcFBrL3RQT0tMNFF" ] "Set-Cookie" => array:3 [ 0 => "lang_schoolap=eyJpdiI6IkMrOU1ZVGlQQVhqS0ZUSENud2U0VXc9PSIsInZhbHVlIjoiQ21sMS9VWVowdkF3R0lHb1NwMHIwQ01peDJsVFdlRkpYSFp6aUJpbExZMzJRejduYUVCZEtldWc2WXBId3R6aSIsIm1hYyI6IjcwZGMwYmE3ODg5ODAxMGNjNWVlNzM3MzdjMzczMzcyMDJkNDI2ZTQ0Zjg5NDVjNmRmNWU1ZjRhMmM4Yjg1NTEiLCJ0YWciOiIifQ%3D%3D; expires=Wed, 07-May-2025 20:41:22 GMT; path=/; httponlylang_schoolap=eyJpdiI6IkMrOU1ZVGlQQVhqS0ZUSENud2U0VXc9PSIsInZhbHVlIjoiQ21sMS9VWVowdkF3R0lHb1NwMHIwQ01peDJsVFdlRkpYSFp6aUJpbExZMzJRejduYUVCZEtldWc2WXBId3R6aSIsIm" 1 => "XSRF-TOKEN=eyJpdiI6ImhGd2t6UEhVYXlTVVA3UVhpakF5cmc9PSIsInZhbHVlIjoiWDRVcnhGV09LS1BmNThrVlV3MG5ld2hXd0daa2xiaTdoMElkajQ4ZUtKcDFzbUpEekdGa3lBdlZUMkVXdnJrUjJMTHkwM1B3OWpZVU5acmJDSUM2NGlISnBvS1BVdlNsOCsyTVk0TmNwQ1R6SHRURHY4UjhMd0lhdDIvalh1N1MiLCJtYWMiOiI2OWNjZDhkZWEzMzNjZTk3YTUwNTkwOGVhM2FhNDQzMDNkNzNkMzA1YjM4MDEwZjBiMzY0MTdlMjIyYTg4YjFhIiwidGFnIjoiIn0%3D; expires=Thu, 01-May-2025 00:01:22 GMT; path=/XSRF-TOKEN=eyJpdiI6ImhGd2t6UEhVYXlTVVA3UVhpakF5cmc9PSIsInZhbHVlIjoiWDRVcnhGV09LS1BmNThrVlV3MG5ld2hXd0daa2xiaTdoMElkajQ4ZUtKcDFzbUpEekdGa3lBdlZUMkVXdnJrUjJMTHkwM" 2 => "schoolap_session=eyJpdiI6IklJMm5ON2dISkpIMityWGx2U2FKcVE9PSIsInZhbHVlIjoiSUVlcG5yalFPM3Fsdnd3YmRjKzhYaklqazlEelRCbTZ6ZWdxeEJnQnUwc0tLOGhFbHFudE1TcFBrL3RQT0tMNFFFVjMzS0kwMXNGbXZKMWY2T0tMWGM3Y1Zxa0pJeDFDTlZGMkVzc3VEZ254d0dkM1I2LytaRFlBNW9EOC9URlYiLCJtYWMiOiI0NWE4MzEwODc2ZDJjNzMyZmRmMjc0OWNjNjgyZGNhZDkzMmFkY2JjMGYyMjIyMjYxNzhkMzA3MzhlN2Q0ZWJmIiwidGFnIjoiIn0%3D; expires=Thu, 01-May-2025 00:01:22 GMT; path=/; httponlyschoolap_session=eyJpdiI6IklJMm5ON2dISkpIMityWGx2U2FKcVE9PSIsInZhbHVlIjoiSUVlcG5yalFPM3Fsdnd3YmRjKzhYaklqazlEelRCbTZ6ZWdxeEJnQnUwc0tLOGhFbHFudE1TcFBrL3RQT0tMNFF" ] ]
        session_attributes
        0 of 0
        array:5 [ "_token" => "uGyz4VO7pQXWXHro7rkhFBvnX4QFoEyz5tVrEFLB" "applocale" => "en" "_previous" => array:1 [ "url" => "https://s8.schoolap.com/lessons/1931/le-complement-dun-nombre" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]