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 complement d'un nombre
Matériel didactique : Tableau noir et craies
Objectif opérationnel : A l'issue de la leçon l'élève sera capable de trouver le complément d'un nombre.

Rappel

Mettez < , > et =

  • 7......100
  • 15.....1
  • 100....100

Rappel

Mettez < , > et =

  • 7......100   7< 100
  • 15.....1     15  > 1
  • 100....100 100=100    

Motivation

6+...10=?

Motivation

6+4=10

Annonce du sujet

Quelle est la leçon du jour ?

Annonce du sujet

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

Quelques exemples au tableau 

  • 10=6+4
  • 100=70+30
  • 1000=200+800

Explication sur la façon de trouver le complément d'un nombre

Quand est-ce que deux nombres sont compléments l'un de l'autre par rapport à 10,100,1000 ou 1 ?

Pendant ce temps les élèves suivent attentivement les explications et participent dans la mesure de leurs possibilités.

Deux nombres sont compléments l'un de l'autre par rapport à :

  • 10 si leur somme est 10
  • 100 si leur somme est 100
  • 1000 si leur somme est 1000
  • 1 si la somme est 1

Que venons-nous d'étudier en opérations ?

Nous venons d'étudier le complément d'un nombre.

8.1.28PHP Version144msRequest Duration6MBMemory UsageGET lessons/{id}/{slug}Route
    • Booting (33.22ms)
    • Application (111ms)
    • 1 x Application (76.86%)
      110.62ms
      1 x Booting (23.08%)
      33.22ms
      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 executed59.41ms
      • select * from `oldt_posts` where (`id` = '2131' 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
        2.25ms/app/Http/Controllers/Public/LessonController.php:92schoolap
        Metadata
        Bindings
        • 0. 2131
        • 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` = '2131' and `lessons`.`deleted_at` is null limit 1
        590μs/app/Repositories/LessonRepository.php:41schoolap
        Metadata
        Bindings
        • 0. 2131
        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
        30.26ms/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` = '2025-05-02 03:34:49' where `id` = 2131 and `lessons`.`deleted_at` is null
        5.01ms/app/Http/Controllers/Public/LessonController.php:98schoolap
        Metadata
        Bindings
        • 0. 2025-05-02 03:34:49
        • 1. 2131
        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` = 605 and `chapters`.`deleted_at` is null limit 1
        970μsview::public.lessons.show:10schoolap
        Metadata
        Bindings
        • 0. 605
        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` = 264 and `course_classes`.`deleted_at` is null limit 1
        670μsview::public.lessons.show:10schoolap
        Metadata
        Bindings
        • 0. 264
        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 (53) and `classes`.`deleted_at` is null
        760μsview::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 (64)
        500μsview::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)
        1.89msview::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 (28)
        550μsview::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
        490μsview::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` = 2131 and `lesson_sections`.`lesson_id` is not null
        1.01msview::public.lessons.show:116schoolap
        Metadata
        Bindings
        • 0. 2131
        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` = 20279 and `lesson_contents`.`deleted_at` is null limit 1
        870μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 20279
        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` = 20062 and `content_texts`.`deleted_at` is null limit 1
        750μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 20062
        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` = 20280 and `lesson_contents`.`deleted_at` is null limit 1
        620μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 20280
        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` = 20063 and `content_texts`.`deleted_at` is null limit 1
        550μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 20063
        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` = 20281 and `lesson_contents`.`deleted_at` is null limit 1
        640μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 20281
        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` = 20064 and `content_texts`.`deleted_at` is null limit 1
        570μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 20064
        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` = 20282 and `lesson_contents`.`deleted_at` is null limit 1
        720μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 20282
        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` = 20065 and `content_texts`.`deleted_at` is null limit 1
        610μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 20065
        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` = 20283 and `lesson_contents`.`deleted_at` is null limit 1
        570μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 20283
        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` = 20066 and `content_texts`.`deleted_at` is null limit 1
        780μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 20066
        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` = 20284 and `lesson_contents`.`deleted_at` is null limit 1
        590μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 20284
        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` = 20067 and `content_texts`.`deleted_at` is null limit 1
        580μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 20067
        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` = 20285 and `lesson_contents`.`deleted_at` is null limit 1
        580μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 20285
        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` = 20068 and `content_texts`.`deleted_at` is null limit 1
        580μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 20068
        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` = 20286 and `lesson_contents`.`deleted_at` is null limit 1
        430μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 20286
        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` = 20069 and `content_texts`.`deleted_at` is null limit 1
        310μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 20069
        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` = 20287 and `lesson_contents`.`deleted_at` is null limit 1
        300μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 20287
        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` = 20070 and `content_texts`.`deleted_at` is null limit 1
        350μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 20070
        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` = 20288 and `lesson_contents`.`deleted_at` is null limit 1
        670μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 20288
        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` = 20071 and `content_texts`.`deleted_at` is null limit 1
        420μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 20071
        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` = 20289 and `lesson_contents`.`deleted_at` is null limit 1
        510μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 20289
        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` = 20072 and `content_texts`.`deleted_at` is null limit 1
        1.43msview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 20072
        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` = 20290 and `lesson_contents`.`deleted_at` is null limit 1
        490μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 20290
        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` = 20073 and `content_texts`.`deleted_at` is null limit 1
        540μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 20073
        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
        6P34MoE6mpFPSSMH5qhYv4bhbo8ma8hwLO71mxzH
        applocale
        en
        _previous
        array:1 [ "url" => "https://s8.schoolap.com/lessons/2131/le-complement-dun-nombre" ]
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /lessons/2131/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" => "7968" "REMOTE_ADDR" => "3.19.61.131" "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/2131/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" => 1746156889.736 "REQUEST_TIME" => 1746156889 ]
        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 => "Fri, 02 May 2025 03:34:49 GMT" ] "set-cookie" => array:3 [ 0 => "lang_schoolap=eyJpdiI6Ikp3a0hMeDZiYlB3M004TjFOWUdCMXc9PSIsInZhbHVlIjoiU2paZGhERUZYc2lxQ1hSd2tDS2ZjeTBKTVRubUlQeFdHakJ6U0thczFPQmlKNXluUW9qeFJXdU9nR2FibWp4MiIsIm1hYyI6ImMwYTgyNzQxNDRjOTg2NjBkNDA1NzAyZThmMTBkYTRhYTJhY2I5ZTc5MWJmZjhhOGIyNTQyNmJkYmNhYzY2ZjkiLCJ0YWciOiIifQ%3D%3D; expires=Fri, 09 May 2025 02:14:49 GMT; Max-Age=600000; path=/; httponly; samesite=laxlang_schoolap=eyJpdiI6Ikp3a0hMeDZiYlB3M004TjFOWUdCMXc9PSIsInZhbHVlIjoiU2paZGhERUZYc2lxQ1hSd2tDS2ZjeTBKTVRubUlQeFdHakJ6U0thczFPQmlKNXluUW9qeFJXdU9nR2FibWp4MiIsIm" 1 => "XSRF-TOKEN=eyJpdiI6IlpnR3pkMnBsZEtjT1RCbE5zaXhrSWc9PSIsInZhbHVlIjoiZzJHWWZGTEM4M3NlT01NeFhjQkFkMjR6WmZpSktYbFFyeC81Q210NW1aMzQvdHpoMjhPQ1RscWZxc3VYaXVnekZrZ0lsTlpkMUFwdkV5cVZGclJYWStVVDZoQUlLcHRQTnFuUmRFUGJrcit0RkFkaWJXYlAvU05kbUNXeVMyOHgiLCJtYWMiOiI1OGYxMzViNTYxZWRlYWFkZTFjY2Q2ZjNhYmQ0NzIwMDk5NjAzMjMzNWY1NzY1NTc0NDkzMjhmNzM0ZWI1NmIzIiwidGFnIjoiIn0%3D; expires=Fri, 02 May 2025 05:34:49 GMT; Max-Age=7200; path=/; samesite=laxXSRF-TOKEN=eyJpdiI6IlpnR3pkMnBsZEtjT1RCbE5zaXhrSWc9PSIsInZhbHVlIjoiZzJHWWZGTEM4M3NlT01NeFhjQkFkMjR6WmZpSktYbFFyeC81Q210NW1aMzQvdHpoMjhPQ1RscWZxc3VYaXVnekZrZ0lsT" 2 => "schoolap_session=eyJpdiI6InMzaVZ4bGFsT0wrZ09wZFh6WTNzZGc9PSIsInZhbHVlIjoiYm56ZzYwK084Rk94Sjh6aWFZQUd5UitERFBRZFdyeUZjWmxqUzk0ZmQ4c3hMblFmV1ViekJKSTdjOVl6ZlFZYXZIZ2I3dFU0MDRPNC9OUHk0bUNxWjQ2NlJ2cGZ4c0VzNlNla0hoUVVkSFcxQ2I5bkovcFRQSWZHWVZaK2ZhTXMiLCJtYWMiOiIyMmEyNmYxMmFlMzE1NjM5YzI3YmQ4NzBmYzI0MmZjZTBlNTYxNjZkNmQxOTE5YmM5NDE2YTExZGM3ZTJmZGY4IiwidGFnIjoiIn0%3D; expires=Fri, 02 May 2025 05:34:49 GMT; Max-Age=7200; path=/; httponly; samesite=laxschoolap_session=eyJpdiI6InMzaVZ4bGFsT0wrZ09wZFh6WTNzZGc9PSIsInZhbHVlIjoiYm56ZzYwK084Rk94Sjh6aWFZQUd5UitERFBRZFdyeUZjWmxqUzk0ZmQ4c3hMblFmV1ViekJKSTdjOVl6ZlFZYXZ" ] "Set-Cookie" => array:3 [ 0 => "lang_schoolap=eyJpdiI6Ikp3a0hMeDZiYlB3M004TjFOWUdCMXc9PSIsInZhbHVlIjoiU2paZGhERUZYc2lxQ1hSd2tDS2ZjeTBKTVRubUlQeFdHakJ6U0thczFPQmlKNXluUW9qeFJXdU9nR2FibWp4MiIsIm1hYyI6ImMwYTgyNzQxNDRjOTg2NjBkNDA1NzAyZThmMTBkYTRhYTJhY2I5ZTc5MWJmZjhhOGIyNTQyNmJkYmNhYzY2ZjkiLCJ0YWciOiIifQ%3D%3D; expires=Fri, 09-May-2025 02:14:49 GMT; path=/; httponlylang_schoolap=eyJpdiI6Ikp3a0hMeDZiYlB3M004TjFOWUdCMXc9PSIsInZhbHVlIjoiU2paZGhERUZYc2lxQ1hSd2tDS2ZjeTBKTVRubUlQeFdHakJ6U0thczFPQmlKNXluUW9qeFJXdU9nR2FibWp4MiIsIm" 1 => "XSRF-TOKEN=eyJpdiI6IlpnR3pkMnBsZEtjT1RCbE5zaXhrSWc9PSIsInZhbHVlIjoiZzJHWWZGTEM4M3NlT01NeFhjQkFkMjR6WmZpSktYbFFyeC81Q210NW1aMzQvdHpoMjhPQ1RscWZxc3VYaXVnekZrZ0lsTlpkMUFwdkV5cVZGclJYWStVVDZoQUlLcHRQTnFuUmRFUGJrcit0RkFkaWJXYlAvU05kbUNXeVMyOHgiLCJtYWMiOiI1OGYxMzViNTYxZWRlYWFkZTFjY2Q2ZjNhYmQ0NzIwMDk5NjAzMjMzNWY1NzY1NTc0NDkzMjhmNzM0ZWI1NmIzIiwidGFnIjoiIn0%3D; expires=Fri, 02-May-2025 05:34:49 GMT; path=/XSRF-TOKEN=eyJpdiI6IlpnR3pkMnBsZEtjT1RCbE5zaXhrSWc9PSIsInZhbHVlIjoiZzJHWWZGTEM4M3NlT01NeFhjQkFkMjR6WmZpSktYbFFyeC81Q210NW1aMzQvdHpoMjhPQ1RscWZxc3VYaXVnekZrZ0lsT" 2 => "schoolap_session=eyJpdiI6InMzaVZ4bGFsT0wrZ09wZFh6WTNzZGc9PSIsInZhbHVlIjoiYm56ZzYwK084Rk94Sjh6aWFZQUd5UitERFBRZFdyeUZjWmxqUzk0ZmQ4c3hMblFmV1ViekJKSTdjOVl6ZlFZYXZIZ2I3dFU0MDRPNC9OUHk0bUNxWjQ2NlJ2cGZ4c0VzNlNla0hoUVVkSFcxQ2I5bkovcFRQSWZHWVZaK2ZhTXMiLCJtYWMiOiIyMmEyNmYxMmFlMzE1NjM5YzI3YmQ4NzBmYzI0MmZjZTBlNTYxNjZkNmQxOTE5YmM5NDE2YTExZGM3ZTJmZGY4IiwidGFnIjoiIn0%3D; expires=Fri, 02-May-2025 05:34:49 GMT; path=/; httponlyschoolap_session=eyJpdiI6InMzaVZ4bGFsT0wrZ09wZFh6WTNzZGc9PSIsInZhbHVlIjoiYm56ZzYwK084Rk94Sjh6aWFZQUd5UitERFBRZFdyeUZjWmxqUzk0ZmQ4c3hMblFmV1ViekJKSTdjOVl6ZlFZYXZ" ] ]
        session_attributes
        0 of 0
        array:5 [ "_token" => "6P34MoE6mpFPSSMH5qhYv4bhbo8ma8hwLO71mxzH" "applocale" => "en" "_previous" => array:1 [ "url" => "https://s8.schoolap.com/lessons/2131/le-complement-dun-nombre" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]