Receiving Helpdesk

double plus 1 and doubles minus 1 lesson 3.5 answer key

by Pierre Schneider Published 4 years ago Updated 2 years ago

What is double plus 1 in Grade 1 math?

In these lessons, we help Grade 1 students learn how to visualize and solve doubles and doubles plus 1 with 5-group cards. Common Core Standards: 1.OA.6 What is Double Plus 1? Double Plus 1 is an addition strategy. When one addend is one more than the other addend, we double the smaller addend and add one to get the answer.

How to add doubles plus 1?

Fill in the 5-group cards in order from least to greatest, double the number, and write the number sentences. Match the top cards to the bottom cards to show doubles plus 1. How to use the doubles plus 1 addition strategy?

How do you write double plus 1 on a number board?

Write the number sentence to match the cards. Fill in the 5-group cards in order from least to greatest, double the number, and write the number sentences. Match the top cards to the bottom cards to show doubles plus 1.

How many group cards do you need for doubles and doubles?

In these lessons, we help Grade 1 students learn how to visualize and solve doubles and doubles plus 1 with 5-group cards. Common Core Standards: 1.OA.6 What is Double Plus 1?

What is double plus one?

Double Plus 1 is an addition strategy. When one addend is one more than the other addend, we double the smaller addend and add one to get the answer. The double plus one strategy requires you to know how to double a number mentally and then add one.

How to do a double in math?

1. Draw the 5-group card to show a double. Write the number sentence to match the cards. 2. Fill in the 5-group cards in order from least to greatest, double the number, and write the number sentences. 4. Match the top cards to the bottom cards to show doubles plus 1. Show Step-by-step Solutions.

Popular Posts:

  • 1. why do cats eat roses
  • 2. what is the difference between new and old immigrants
  • 3. will mouse x kill chipmunks
  • 4. are electric pocket bikes legal in california
  • 5. how many grams of casein is in greek yogurt
  • 6. egyptian script is called
  • 7. easiest quiz in the world
  • 8. what size are vesa bolts
  • 9. what happens if i accidentally take 2 synthroid
  • 10. fear factor meaning
    • A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 1 2 3 4 5 6 7 8 9
    Messages16TimelineExceptionsViews7RouteQueries7Models15Livewire0MailsGateSessionRequest
    8.3.21PHP Version2.77sRequest Duration2MBMemory UsageGET {post}Route
    • warninglog[00:11:16] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
    • warninglog[00:11:16] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
    • warninglog[00:11:16] LOG.warning: Callables of the form ["Swift_SmtpTransport", "Swift_Transport_EsmtpTranspor...
    • warninglog[00:11:16] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
    • warninglog[00:11:16] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
    • warninglog[00:11:16] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[00:11:16] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[00:11:16] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[00:11:16] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[00:11:16] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[00:11:16] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[00:11:16] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[00:11:16] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[00:11:16] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[00:11:16] LOG.warning: mt_rand(): Passing null to parameter #2 ($max) of type int is deprecated in ...
    • warninglog[00:11:16] LOG.warning: explode(): Passing null to parameter #2 ($string) of type string is deprecat...
    warning
    • Booting (11.58ms)
    • Application (2.76s)
    • 1 x Application (99.57%)
      2.76s
      1 x Booting (0.42%)
      11.58ms
      7 templates were rendered
      • themes.DevBlog.content.post (resources/views/themes/DevBlog/content/post.blade.php)34blade
        Params
        0
        post
        1
        postContent
        2
        author
        3
        updated_at
        4
        bing_rich_snippet_text
        5
        bing_rich_snippet_link
        6
        bing_related_keywords
        7
        google_related_keywords
        8
        bing_news_title
        9
        bing_news_description
        10
        bing_videos
        11
        bing_images
        12
        bing_search_result_title
        13
        bing_search_result_description
        14
        bing_search_result_url
        15
        bing_paa_questions
        16
        bing_paa_answers
        17
        bing_slider_faq_questions
        18
        bing_slider_faq_answers
        19
        bing_pop_faq_questions
        20
        bing_pop_faq_answers
        21
        bing_tab_faq_questions
        22
        bing_tab_faq_answers
        23
        google_faq_questions
        24
        google_faq_answers
        25
        google_rich_snippet
        26
        google_search_result
        27
        indexedArray
        28
        total_images
        29
        total_videos
        30
        settings
        31
        url_current
        32
        menus
        33
        sidebar
      • themes.DevBlog.layouts.master (resources/views/themes/DevBlog/layouts/master.blade.php)41blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        postContent
        5
        author
        6
        updated_at
        7
        bing_rich_snippet_text
        8
        bing_rich_snippet_link
        9
        bing_related_keywords
        10
        google_related_keywords
        11
        bing_news_title
        12
        bing_news_description
        13
        bing_videos
        14
        bing_images
        15
        bing_search_result_title
        16
        bing_search_result_description
        17
        bing_search_result_url
        18
        bing_paa_questions
        19
        bing_paa_answers
        20
        bing_slider_faq_questions
        21
        bing_slider_faq_answers
        22
        bing_pop_faq_questions
        23
        bing_pop_faq_answers
        24
        bing_tab_faq_questions
        25
        bing_tab_faq_answers
        26
        google_faq_questions
        27
        google_faq_answers
        28
        google_rich_snippet
        29
        google_search_result
        30
        indexedArray
        31
        total_images
        32
        total_videos
        33
        settings
        34
        url_current
        35
        menus
        36
        sidebar
        37
        i
        38
        __currentLoopData
        39
        loop
        40
        item
      • themes.DevBlog.panels.head (resources/views/themes/DevBlog/panels/head.blade.php)41blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        postContent
        5
        author
        6
        updated_at
        7
        bing_rich_snippet_text
        8
        bing_rich_snippet_link
        9
        bing_related_keywords
        10
        google_related_keywords
        11
        bing_news_title
        12
        bing_news_description
        13
        bing_videos
        14
        bing_images
        15
        bing_search_result_title
        16
        bing_search_result_description
        17
        bing_search_result_url
        18
        bing_paa_questions
        19
        bing_paa_answers
        20
        bing_slider_faq_questions
        21
        bing_slider_faq_answers
        22
        bing_pop_faq_questions
        23
        bing_pop_faq_answers
        24
        bing_tab_faq_questions
        25
        bing_tab_faq_answers
        26
        google_faq_questions
        27
        google_faq_answers
        28
        google_rich_snippet
        29
        google_search_result
        30
        indexedArray
        31
        total_images
        32
        total_videos
        33
        settings
        34
        url_current
        35
        menus
        36
        sidebar
        37
        i
        38
        __currentLoopData
        39
        loop
        40
        item
      • themes.DevBlog.panels.header (resources/views/themes/DevBlog/panels/header.blade.php)41blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        postContent
        5
        author
        6
        updated_at
        7
        bing_rich_snippet_text
        8
        bing_rich_snippet_link
        9
        bing_related_keywords
        10
        google_related_keywords
        11
        bing_news_title
        12
        bing_news_description
        13
        bing_videos
        14
        bing_images
        15
        bing_search_result_title
        16
        bing_search_result_description
        17
        bing_search_result_url
        18
        bing_paa_questions
        19
        bing_paa_answers
        20
        bing_slider_faq_questions
        21
        bing_slider_faq_answers
        22
        bing_pop_faq_questions
        23
        bing_pop_faq_answers
        24
        bing_tab_faq_questions
        25
        bing_tab_faq_answers
        26
        google_faq_questions
        27
        google_faq_answers
        28
        google_rich_snippet
        29
        google_search_result
        30
        indexedArray
        31
        total_images
        32
        total_videos
        33
        settings
        34
        url_current
        35
        menus
        36
        sidebar
        37
        i
        38
        __currentLoopData
        39
        loop
        40
        item
      • themes.DevBlog.panels.navbar (resources/views/themes/DevBlog/panels/navbar.blade.php)41blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        postContent
        5
        author
        6
        updated_at
        7
        bing_rich_snippet_text
        8
        bing_rich_snippet_link
        9
        bing_related_keywords
        10
        google_related_keywords
        11
        bing_news_title
        12
        bing_news_description
        13
        bing_videos
        14
        bing_images
        15
        bing_search_result_title
        16
        bing_search_result_description
        17
        bing_search_result_url
        18
        bing_paa_questions
        19
        bing_paa_answers
        20
        bing_slider_faq_questions
        21
        bing_slider_faq_answers
        22
        bing_pop_faq_questions
        23
        bing_pop_faq_answers
        24
        bing_tab_faq_questions
        25
        bing_tab_faq_answers
        26
        google_faq_questions
        27
        google_faq_answers
        28
        google_rich_snippet
        29
        google_search_result
        30
        indexedArray
        31
        total_images
        32
        total_videos
        33
        settings
        34
        url_current
        35
        menus
        36
        sidebar
        37
        i
        38
        __currentLoopData
        39
        loop
        40
        item
      • themes.DevBlog.panels.footer (resources/views/themes/DevBlog/panels/footer.blade.php)41blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        postContent
        5
        author
        6
        updated_at
        7
        bing_rich_snippet_text
        8
        bing_rich_snippet_link
        9
        bing_related_keywords
        10
        google_related_keywords
        11
        bing_news_title
        12
        bing_news_description
        13
        bing_videos
        14
        bing_images
        15
        bing_search_result_title
        16
        bing_search_result_description
        17
        bing_search_result_url
        18
        bing_paa_questions
        19
        bing_paa_answers
        20
        bing_slider_faq_questions
        21
        bing_slider_faq_answers
        22
        bing_pop_faq_questions
        23
        bing_pop_faq_answers
        24
        bing_tab_faq_questions
        25
        bing_tab_faq_answers
        26
        google_faq_questions
        27
        google_faq_answers
        28
        google_rich_snippet
        29
        google_search_result
        30
        indexedArray
        31
        total_images
        32
        total_videos
        33
        settings
        34
        url_current
        35
        menus
        36
        sidebar
        37
        i
        38
        __currentLoopData
        39
        loop
        40
        item
      • themes.DevBlog.panels.scripts (resources/views/themes/DevBlog/panels/scripts.blade.php)41blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        postContent
        5
        author
        6
        updated_at
        7
        bing_rich_snippet_text
        8
        bing_rich_snippet_link
        9
        bing_related_keywords
        10
        google_related_keywords
        11
        bing_news_title
        12
        bing_news_description
        13
        bing_videos
        14
        bing_images
        15
        bing_search_result_title
        16
        bing_search_result_description
        17
        bing_search_result_url
        18
        bing_paa_questions
        19
        bing_paa_answers
        20
        bing_slider_faq_questions
        21
        bing_slider_faq_answers
        22
        bing_pop_faq_questions
        23
        bing_pop_faq_answers
        24
        bing_tab_faq_questions
        25
        bing_tab_faq_answers
        26
        google_faq_questions
        27
        google_faq_answers
        28
        google_rich_snippet
        29
        google_search_result
        30
        indexedArray
        31
        total_images
        32
        total_videos
        33
        settings
        34
        url_current
        35
        menus
        36
        sidebar
        37
        i
        38
        __currentLoopData
        39
        loop
        40
        item
      uri
      GET {post}
      middleware
      web, checkdate
      as
      post.show
      controller
      App\Http\Controllers\Frontend\json_data\PostController@show
      namespace
      where
      file
      app/Http/Controllers/Frontend/json_data/PostController.php:18-166
      7 statements were executed2.74s
      receivinghelpdeskask
      • select * from `posts` where `published_at` <= '2025-06-18 00:11:16' and `slug` = 'double-plus-1-and-doubles-minus-1-lesson-3-5-answer-key' and `posts`.`deleted_at` is null limit 1
        2.79ms/app/Providers/RouteServiceProvider.php:54receivinghelpdeskask
        Metadata
        Bindings
        • 0. 2025-06-18 00:11:16
        • 1. double-plus-1-and-doubles-minus-1-lesson-3-5-answer-key
        Backtrace
        • 15. /app/Providers/RouteServiceProvider.php:54
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/Router.php:842
        • 19. Route binding:39
        • 20. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
        • 21. /vendor/laravel/framework/src/Illuminate/Foundation/Http/Middleware/VerifyCsrfToken.php:78
      • select * from `json_post_contents` where `json_post_contents`.`post_id` = 110932 and `json_post_contents`.`post_id` is not null and `rewrite_id` = 0
        5.87msmiddleware::checkdate:30receivinghelpdeskask
        Metadata
        Bindings
        • 0. 110932
        • 1. 0
        Backtrace
        • 19. middleware::checkdate:30
        • 20. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
        • 21. /vendor/laravel/jetstream/src/Http/Middleware/ShareInertiaData.php:61
        • 22. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
        • 23. /vendor/laravel/framework/src/Illuminate/Routing/Middleware/SubstituteBindings.php:50
      • select * from `nova_menu_menus` where `slug` = 'header' limit 1
        340μs/vendor/outl1ne/nova-menu-builder/src/helpers.php:32receivinghelpdeskask
        Metadata
        Bindings
        • 0. header
        Backtrace
        • 15. /vendor/outl1ne/nova-menu-builder/src/helpers.php:32
        • 17. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
        • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
        • 20. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `nova_menu_menu_items` where `nova_menu_menu_items`.`menu_id` = 1 and `nova_menu_menu_items`.`menu_id` is not null and `parent_id` is null order by `parent_id` asc, `order` asc, `name` asc
        280μs/vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35receivinghelpdeskask
        Metadata
        Bindings
        • 0. 1
        Backtrace
        • 19. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
        • 20. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
        • 22. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 23. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
        • 24. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
      • select * from `nova_menu_menu_items` where `nova_menu_menu_items`.`parent_id` in (1) order by `order` asc
        250μs/vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35receivinghelpdeskask
        Metadata
        Backtrace
        • 24. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
        • 25. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
        • 27. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 28. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
        • 29. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
      • select `id`, `post_title`, `slug` from `posts` where `status` = 'publish' and `posts`.`deleted_at` is null order by RAND() limit 10
        2.73s/app/View/Composers/SidebarView.php:22receivinghelpdeskask
        Metadata
        Bindings
        • 0. publish
        Backtrace
        • 14. /app/View/Composers/SidebarView.php:22
        • 15. /app/View/Composers/SidebarView.php:12
        • 16. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
        • 17. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
        • 20. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
      • select * from `fake_users` where `fake_users`.`id` = 18915 limit 1
        730μsview::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15receivinghelpdeskask
        Metadata
        Bindings
        • 0. 18915
        Backtrace
        • 21. view::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15
        • 23. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 25. /vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
        • 26. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      App\Models\FakeUser
      1
      Outl1ne\MenuBuilder\Models\MenuItem
      1
      Outl1ne\MenuBuilder\Models\Menu
      1
      App\Models\JsonPostContent
      1
      App\Models\Post
      11
          _token
          xSXczRQzDXuzAcHovWjNG7wHKCNB8ez8pJSMqmur
          _previous
          array:1 [ "url" => "https://receivinghelpdesk.com/ask/double-plus-1-and-doubles-minus-1-lesson-3-5...
          _flash
          array:2 [ "old" => [] "new" => [] ]
          PHPDEBUGBAR_STACK_DATA
          []
          path_info
          /double-plus-1-and-doubles-minus-1-lesson-3-5-answer-key
          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:24 [▼
  "cf-ipcountry" => array:1 [▶
    0 => "US"
  ]
  "cf-connecting-ip" => array:1 [▶
    0 => "216.73.216.88"
  ]
  "cdn-loop" => array:1 [▶
    0 => "cloudflare; loops=1"
  ]
  "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"
  ]
  "sec-fetch-dest" => array:1 [▶
    0 => "document"
  ]
  "cf-ray" => array:1 [▶
    0 => "9514ae1e2aa9e450-ORD"
  ]
  "accept-encoding" => array:1 [▶
    0 => "gzip, br"
  ]
  "priority" => array:1 [▶
    0 => "u=0, i"
  ]
  "sec-fetch-user" => array:1 [▶
    0 => "?1"
  ]
  "sec-fetch-mode" => array:1 [▶
    0 => "navigate"
  ]
  "cf-visitor" => array:1 [▶
    0 => "{"scheme":"https"}"
  ]
  "connection" => array:1 [▶
    0 => "close"
  ]
  "x-forwarded-proto" => array:1 [▶
    0 => "https"
  ]
  "x-forwarded-for" => array:1 [▶
    0 => "216.73.216.88, 172.69.17.64"
  ]
  "x-server-addr" => array:1 [▶
    0 => "154.12.239.204"
  ]
  "host" => array:1 [▶
    0 => "receivinghelpdesk.com"
  ]
]
          request_server
            0 of 0   
          array:55 [▼
  "USER" => "runcloud"
  "HOME" => "/home/runcloud"
  "SCRIPT_NAME" => "/ask/index.php"
  "REQUEST_URI" => "/ask/double-plus-1-and-doubles-minus-1-lesson-3-5-answer-key"
  "QUERY_STRING" => ""
  "REQUEST_METHOD" => "GET"
  "SERVER_PROTOCOL" => "HTTP/1.0"
  "GATEWAY_INTERFACE" => "CGI/1.1"
  "REDIRECT_URL" => "/ask/double-plus-1-and-doubles-minus-1-lesson-3-5-answer-key"
  "REMOTE_PORT" => "55812"
  "SCRIPT_FILENAME" => "/home/runcloud/webapps/ReceivingHelpDesk/ask/index.php"
  "SERVER_ADMIN" => "you@example.com"
  "CONTEXT_DOCUMENT_ROOT" => "/home/runcloud/webapps/ReceivingHelpDesk/"
  "CONTEXT_PREFIX" => ""
  "REQUEST_SCHEME" => "http"
  "DOCUMENT_ROOT" => "/home/runcloud/webapps/ReceivingHelpDesk/"
  "REMOTE_ADDR" => "172.69.17.64"
  "SERVER_PORT" => "80"
  "SERVER_ADDR" => "127.0.0.1"
  "SERVER_NAME" => "receivinghelpdesk.com"
  "SERVER_SOFTWARE" => "Apache/2.4.63 (Unix) OpenSSL/1.1.1f"
  "SERVER_SIGNATURE" => ""
  "LD_LIBRARY_PATH" => "/RunCloud/Packages/apache2-rc/lib"
  "PATH" => "/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin"
  "HTTP_CF_IPCOUNTRY" => "US"
  "HTTP_CF_CONNECTING_IP" => "216.73.216.88"
  "HTTP_CDN_LOOP" => "cloudflare; loops=1"
  "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_SEC_FETCH_DEST" => "document"
  "HTTP_CF_RAY" => "9514ae1e2aa9e450-ORD"
  "HTTP_ACCEPT_ENCODING" => "gzip, br"
  "HTTP_PRIORITY" => "u=0, i"
  "HTTP_SEC_FETCH_USER" => "?1"
  "HTTP_SEC_FETCH_MODE" => "navigate"
  "HTTP_CF_VISITOR" => "{"scheme":"https"}"
  "HTTP_CONNECTION" => "close"
  "HTTP_X_FORWARDED_PROTO" => "https"
  "HTTP_X_FORWARDED_FOR" => "216.73.216.88, 172.69.17.64"
  "HTTP_X_SERVER_ADDR" => "154.12.239.204"
  "HTTP_HOST" => "receivinghelpdesk.com"
  "HTTPS" => "on"
  "REDIRECT_STATUS" => "200"
  "REDIRECT_HTTPS" => "on"
  "FCGI_ROLE" => "RESPONDER"
  "PHP_SELF" => "/ask/index.php"
  "REQUEST_TIME_FLOAT" => 1750185676.6131
  "REQUEST_TIME" => 1750185676
]
          request_cookies
          []
          response_headers
            0 of 0   
          array:7 [▼
  "content-type" => array:1 [▶
    0 => "text/html; charset=UTF-8"
  ]
  "cache-control" => array:1 [▶
    0 => "private, must-revalidate"
  ]
  "date" => array:1 [▶
    0 => "Tue, 17 Jun 2025 18:41:16 GMT"
  ]
  "pragma" => array:1 [▶
    0 => "no-cache"
  ]
  "expires" => array:1 [▶
    0 => -1
  ]
  "set-cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6InJSZ24ySXBKMUpNTjNLVm1ZV0Q3cVE9PSIsInZhbHVlIjoiUGFjL2hQVGhHMktFa1VwN2ZDcEtyRlZ5Y1FYalpMMGNhcG1BMkdvb2JtUDdTN1QyUjY2SnFFL0VsSHJ0UjVVRGJSem1YUVJ0eVdaSTRhTlYwMTBLOGxjMXFNbm0vVmhSaU85UGZsQXBCQVVobzNXRUNrSHhubmNTUDh6bkdPWisiLCJtYWMiOiJjOGEwODJmNDE4MGUwNjM2YTlkNGM0ODA0MzlkNmU5OTVlMTQxZGUyNzZiZDNjYmRhZWE5NGEzNTVhNTkzY2NkIiwidGFnIjoiIn0%3D; expires=Tue, 17-Jun-2025 20:41:19 GMT; Max-Age=7200; path=/; samesite=lax ◀XSRF-TOKEN=eyJpdiI6InJSZ24ySXBKMUpNTjNLVm1ZV0Q3cVE9PSIsInZhbHVlIjoiUGFjL2hQVGhHMktFa1VwN2ZDcEtyRlZ5Y1FYalpMMGNhcG1BMkdvb2JtUDdTN1QyUjY2SnFFL0VsSHJ0UjVVRGJSem1YU ▶"
    1 => "askhelpdesk_session=eyJpdiI6ImxETHU1d29jNVJWbTV3bDZCcVpBVmc9PSIsInZhbHVlIjoiRzRqdHlWbldlSlg5alBUUlJMVzkyalJwdzNEYTduMFJCUDRqN2RzK2JZQkhIYjdDNzdZMDlnSkJIamx2K2RlVlNjUXRWUWxDZUs3OFY5ZDhSangyamtQcVBXU2xRS29jUVVtelkweVN5cENaRUVPWDZDQ1BUWkZCRFI5ZEh4bFoiLCJtYWMiOiI2MTNjNzY2MTlkMjdmMWE4YzM4ZTQxNThlMDE2YWM3OGQ4MGEzY2JkYWQwMTIxZjRkNjg2MWUzMmMwYjE5YjU0IiwidGFnIjoiIn0%3D; expires=Tue, 17-Jun-2025 20:41:19 GMT; Max-Age=7200; path=/; httponly; samesite=lax ◀askhelpdesk_session=eyJpdiI6ImxETHU1d29jNVJWbTV3bDZCcVpBVmc9PSIsInZhbHVlIjoiRzRqdHlWbldlSlg5alBUUlJMVzkyalJwdzNEYTduMFJCUDRqN2RzK2JZQkhIYjdDNzdZMDlnSkJIamx2K2Rl ▶"
  ]
  "Set-Cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6InJSZ24ySXBKMUpNTjNLVm1ZV0Q3cVE9PSIsInZhbHVlIjoiUGFjL2hQVGhHMktFa1VwN2ZDcEtyRlZ5Y1FYalpMMGNhcG1BMkdvb2JtUDdTN1QyUjY2SnFFL0VsSHJ0UjVVRGJSem1YUVJ0eVdaSTRhTlYwMTBLOGxjMXFNbm0vVmhSaU85UGZsQXBCQVVobzNXRUNrSHhubmNTUDh6bkdPWisiLCJtYWMiOiJjOGEwODJmNDE4MGUwNjM2YTlkNGM0ODA0MzlkNmU5OTVlMTQxZGUyNzZiZDNjYmRhZWE5NGEzNTVhNTkzY2NkIiwidGFnIjoiIn0%3D; expires=Tue, 17-Jun-2025 20:41:19 GMT; path=/ ◀XSRF-TOKEN=eyJpdiI6InJSZ24ySXBKMUpNTjNLVm1ZV0Q3cVE9PSIsInZhbHVlIjoiUGFjL2hQVGhHMktFa1VwN2ZDcEtyRlZ5Y1FYalpMMGNhcG1BMkdvb2JtUDdTN1QyUjY2SnFFL0VsSHJ0UjVVRGJSem1YU ▶"
    1 => "askhelpdesk_session=eyJpdiI6ImxETHU1d29jNVJWbTV3bDZCcVpBVmc9PSIsInZhbHVlIjoiRzRqdHlWbldlSlg5alBUUlJMVzkyalJwdzNEYTduMFJCUDRqN2RzK2JZQkhIYjdDNzdZMDlnSkJIamx2K2RlVlNjUXRWUWxDZUs3OFY5ZDhSangyamtQcVBXU2xRS29jUVVtelkweVN5cENaRUVPWDZDQ1BUWkZCRFI5ZEh4bFoiLCJtYWMiOiI2MTNjNzY2MTlkMjdmMWE4YzM4ZTQxNThlMDE2YWM3OGQ4MGEzY2JkYWQwMTIxZjRkNjg2MWUzMmMwYjE5YjU0IiwidGFnIjoiIn0%3D; expires=Tue, 17-Jun-2025 20:41:19 GMT; path=/; httponly ◀askhelpdesk_session=eyJpdiI6ImxETHU1d29jNVJWbTV3bDZCcVpBVmc9PSIsInZhbHVlIjoiRzRqdHlWbldlSlg5alBUUlJMVzkyalJwdzNEYTduMFJCUDRqN2RzK2JZQkhIYjdDNzdZMDlnSkJIamx2K2Rl ▶"
  ]
]
          session_attributes
            0 of 0   
          array:4 [▼
  "_token" => "xSXczRQzDXuzAcHovWjNG7wHKCNB8ez8pJSMqmur"
  "_previous" => array:1 [▶
    "url" => "https://receivinghelpdesk.com/ask/double-plus-1-and-doubles-minus-1-lesson-3-5-answer-key"
  ]
  "_flash" => array:2 [▶
    "old" => []
    "new" => []
  ]
  "PHPDEBUGBAR_STACK_DATA" => []
]