{"id":194,"date":"2022-04-12T05:09:19","date_gmt":"2022-04-12T05:09:19","guid":{"rendered":"http:\/\/4thclass.deltapublications.in\/?page_id=194"},"modified":"2025-01-09T04:37:51","modified_gmt":"2025-01-09T04:37:51","slug":"i-3-number-patterns-word-problems","status":"publish","type":"page","link":"https:\/\/4thclass.deltapublications.in\/index.php\/i-3-number-patterns-word-problems\/","title":{"rendered":"I.3 Number patterns: word problems"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Number patterns: word problems<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-f12a7bf645fb3896e3022fd20cdb4a84\" style=\"color:#74008b;text-transform:capitalize\">key notes :<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-4089b665368ed4813e2a3cf2202b8acb\" style=\"color:#000060\"><strong>Introduction to Number Patterns<\/strong><\/h3>\n\n\n\n<p class=\"has-large-font-size\"><strong>Definition:<\/strong> A number pattern is a sequence of numbers that follows a specific rule.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-ea03bade3859177ee2bea41ce6863c00\" style=\"color:#000060\">Examples:<\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Adding a constant (e.g., 2, 4, 6, 8, &#8230; \u2192 add 2).<\/li>\n\n\n\n<li>Multiplying by a constant (e.g., 1, 3, 9, 27, &#8230; \u2192 multiply by 3).<\/li>\n\n\n\n<li>Alternating operations (e.g., 5, 10, 15, 20 \u2192 add 5).<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-ba4f146e314ae161facc42a4b0442267\" style=\"color:#000060\"><strong>Identifying the Pattern Rule<\/strong><\/h3>\n\n\n\n<p class=\"has-large-font-size\"><strong>Observe the sequence<\/strong>: Look at how the numbers change.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-decec528678d0d1708fc4a37d86c13cc\" style=\"color:#000060\"><strong>Ask guiding questions<\/strong>:<\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Are the numbers increasing or decreasing?<\/li>\n\n\n\n<li>Are they added, subtracted, multiplied, or divided?<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>Write the rule<\/strong>: Describe the relationship between consecutive terms.<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-31f93f558120613c088e63bd5d3cceaa\" style=\"color:#000060\"><strong>Types of Number Patterns<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Arithmetic patterns<\/strong>: Adding or subtracting a fixed number (e.g., 3, 6, 9, 12).<\/li>\n\n\n\n<li><strong>Geometric patterns<\/strong>: Multiplying or dividing by a fixed number (e.g., 2, 4, 8, 16).<\/li>\n\n\n\n<li><strong>Mixed patterns<\/strong>: Combining operations (e.g., 2, 5, 10, 17 \u2192 add 3, then add 5).<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-08a46a2b8ef832d003f2da5d57b04c51\" style=\"color:#000060\"><strong>Solving Word Problems<\/strong><\/h3>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-fca1de49452111664638ab1e603cde04\" style=\"color:#000060\">Understand the problem:<\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Read the question carefully.<\/li>\n\n\n\n<li>Identify the pattern in the given data.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-1b2884f7b4dd6cc9225813d7add350a8\" style=\"color:#000060\"><strong>Set up the pattern rule<\/strong>:<\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Write down the rule based on the given numbers.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-7caca54e01987b4e38a559f0349ac171\" style=\"color:#000060\"><strong>Predict missing terms<\/strong>:<\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Use the rule to find missing or future numbers in the sequence.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-800741aa1dbbf3dabc3622c25954b8e5\" style=\"color:#000060\"><strong>Check your answer<\/strong>:<\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Verify that your solution fits the rule.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-25a73083b5d1678d5dd178e2f11e82a8\" style=\"color:#000060\"><strong>Strategies for Solving Number Pattern Problems<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Use <strong>tables<\/strong> to organize data.<\/li>\n\n\n\n<li>Look for <strong>repeated differences<\/strong> or ratios.<\/li>\n\n\n\n<li>Draw <strong>number lines<\/strong> or visual aids if needed.<\/li>\n\n\n\n<li>Use trial and error for complex patterns.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-c34826dca7ab064c8e9127101d1f8ffb\" style=\"color:#000060\"><strong>Examples of Word Problems<\/strong><\/h3>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-d0a490e734f685cf1064ece6fd285666\" style=\"color:#000060\">Simple Addition Rule:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-large-font-size\">&#8220;A plant grows 3 cm each day. How tall will it be after 5 days if it starts at 10 cm?&#8221;<\/li>\n\n\n\n<li class=\"has-large-font-size\">Pattern: Start at 10, add 3 each day \u2192 10, 13, 16, 19, 22.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-08e2fb46a1126e6ba98e5f1d61e576a2\" style=\"color:#000060\"><strong>Multiplication Rule<\/strong>:<\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>&#8220;A rabbit population doubles every year. If there are 2 rabbits now, how many will there be in 4 years?&#8221;<\/li>\n\n\n\n<li>Pattern: 2, 4, 8, 16 \u2192 Multiply by 2 each year.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-57897599204087c0f14f00513e039f9f\" style=\"color:#000060\"><strong>Find the Missing Number<\/strong>:<\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>&#8220;What number completes this pattern? 50, 45, ___, 35.&#8221;<\/li>\n\n\n\n<li>Rule: Subtract 5 \u2192 Missing number = 40.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#c0e1bb\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\ud83c\udf88 Nancy&#8217;s Pizzeria made 68 pizzas on Wednesday, 76 pizzas on Thursday, 84 pizzas on Friday, and 92 pizzas on Saturday. <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-9afe67731ebde683bdc365a9e37736b3\" style=\"color:#b00012\"><strong>If this pattern continues , how many pizzas will the pizzeria make on Sunday?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>100<\/li>\n\n\n\n<li>95<\/li>\n\n\n\n<li>105<\/li>\n\n\n\n<li>106<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>First, look for a pattern.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>68,<\/td><td>76,<\/td><td>84,<\/td><td>92,<\/td><td>?<\/td><\/tr><tr><td>&nbsp;\u27a1\ufe0f<\/td><td>&nbsp;\u27a1\ufe0f<\/td><td>\u27a1\ufe0f<\/td><td>&nbsp;\u27a1\ufe0f<\/td><td><\/td><\/tr><tr><td>&nbsp;<\/td><td>&nbsp;<strong>+<\/strong>&nbsp;<strong>8<\/strong><\/td><td><strong>+<\/strong>&nbsp;<strong>8<\/strong><\/td><td>&nbsp;<strong>+<\/strong>&nbsp;<strong>8<\/strong><\/td><td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Add 8 to find the next number:<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>68,<\/td><td>76,<\/td><td>84,<\/td><td>92,<\/td><td><strong>100<\/strong><\/td><\/tr><tr><td>&nbsp;\u27a1\ufe0f<\/td><td>&nbsp;\u27a1\ufe0f<\/td><td>\u27a1\ufe0f<\/td><td>&nbsp;\u27a1\ufe0f<\/td><td><strong>\u27a1\ufe0f<\/strong><\/td><\/tr><tr><td>&nbsp;<\/td><td>&nbsp;<strong>+<\/strong>&nbsp;<strong>8<\/strong><\/td><td><strong>+<\/strong>&nbsp;<strong>8<\/strong><\/td><td>&nbsp;<strong>+<\/strong>&nbsp;<strong>8<\/strong><\/td><td><strong>+<\/strong>&nbsp;<strong>8<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Nancy&#8217;s Pizzeria will make 100 pizzas on Sunday.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#c7c3f9\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\ud83c\udf88 While sorting some buttons, Marshall put 2 buttons in the first box, 4 buttons in the second box, 8 buttons in the third box, 16 buttons in the fourth box, and 32 buttons in the fifth box. <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-34e80b7cdf1811aae20d5ebcb5828998\" style=\"color:#b00012\"><strong>If this pattern continues, how many buttons will Marshall put in the sixth box?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>99<\/li>\n\n\n\n<li>128<\/li>\n\n\n\n<li>46<\/li>\n\n\n\n<li>64<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>First, look for a pattern.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>2,<\/td><td>4,<\/td><td>8,<\/td><td>16,<\/td><td>32,<\/td><td>?<\/td><\/tr><tr><td>&nbsp;<\/td><td>&nbsp;\u27a1\ufe0f<\/td><td>\u27a1\ufe0f<\/td><td>&nbsp;\u27a1\ufe0f<\/td><td>\u27a1\ufe0f<\/td><td>&nbsp;<\/td><\/tr><tr><td>&nbsp;<\/td><td>&nbsp;<strong>\u00d7<\/strong>&nbsp;<strong>2<\/strong><\/td><td><strong>\u00d7<\/strong>&nbsp;<strong>2<\/strong><\/td><td><strong>\u00d7<\/strong>&nbsp;<strong>2<\/strong>&nbsp;<\/td><td><strong><\/strong><strong>\u00d7<\/strong>&nbsp;<strong>2<\/strong><\/td><td>&nbsp;<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiply by 2 to find the next number:<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>2,<\/td><td>4,<\/td><td>8,<\/td><td>16,<\/td><td>32,<\/td><td><strong>64<\/strong><\/td><\/tr><tr><td>&nbsp;<\/td><td>&nbsp;\u27a1\ufe0f<\/td><td>\u27a1\ufe0f<\/td><td>&nbsp;\u27a1\ufe0f<\/td><td>\u27a1\ufe0f<\/td><td>&nbsp;\u27a1\ufe0f<\/td><\/tr><tr><td>&nbsp;<\/td><td>&nbsp;<strong>\u00d7<\/strong>&nbsp;<strong>2<\/strong><\/td><td><strong>\u00d7<\/strong>&nbsp;<strong>2<\/strong><\/td><td><strong>\u00d7<\/strong>&nbsp;<strong>2<\/strong>&nbsp;<\/td><td><strong><\/strong><strong>\u00d7<\/strong>&nbsp;<strong>2<\/strong><\/td><td>&nbsp;<strong>\u00d7<\/strong>&nbsp;<strong>2<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Marshall will put 64 buttons in the sixth box.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#ecc0e4\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\ud83c\udf88 Hanson&#8217;s Bakery is getting more and more orders for blackberry pies. The bakers made 37 blackberry pies in December, 44 blackberry pies in January, 51 blackberry pies in February, and 58 blackberry pies in March. <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-3eb65031c2f9988beb76389896edb290\" style=\"color:#b00012\"><strong>If this pattern continues, how many blackberry pies will the bakery make in April?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>61<\/li>\n\n\n\n<li>65<\/li>\n\n\n\n<li>67<\/li>\n\n\n\n<li>72<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>First, look for a pattern.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>37,<\/td><td>44,<\/td><td>51,<\/td><td>58,<\/td><td>?<\/td><\/tr><tr><td>&nbsp;\u27a1\ufe0f<\/td><td>&nbsp;\u27a1\ufe0f<\/td><td>\u27a1\ufe0f<\/td><td>&nbsp;\u27a1\ufe0f<\/td><td><\/td><\/tr><tr><td>&nbsp;<\/td><td>&nbsp;<strong>+<\/strong>&nbsp;<strong>7<\/strong><\/td><td><strong>+<\/strong>&nbsp;<strong>7<\/strong><\/td><td><strong>+<\/strong>&nbsp;<strong>7<\/strong>&nbsp;<\/td><td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Add 7 to find the next number:<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>37,<\/td><td>44,<\/td><td>51,<\/td><td>58,<\/td><td><strong>65<\/strong><\/td><\/tr><tr><td>&nbsp;\u27a1\ufe0f<\/td><td>&nbsp;\u27a1\ufe0f<\/td><td>\u27a1\ufe0f<\/td><td>&nbsp;\u27a1\ufe0f<\/td><td>\u27a1\ufe0f<\/td><\/tr><tr><td>&nbsp;<\/td><td>&nbsp;<strong>+<\/strong>&nbsp;<strong>7<\/strong><\/td><td><strong>+<\/strong>&nbsp;<strong>7<\/strong><\/td><td><strong>+<\/strong>&nbsp;<strong>7<\/strong>&nbsp;<\/td><td><strong><\/strong><strong>+<\/strong>&nbsp;<strong>7<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Hanson&#8217;s Bakery will make 65 blackberry pies in April.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">Let&#8217;s practice!\ud83d\udd8a\ufe0f<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/83236\/334\/996\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-262.png\" alt=\"\" class=\"wp-image-7114\" srcset=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-262.png 500w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-262-300x300.png 300w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-262-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/84545\/758\/180\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-258.png\" alt=\"\" class=\"wp-image-7116\" srcset=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-258.png 500w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-258-300x300.png 300w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-258-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Number patterns: word problems key notes : Introduction to Number Patterns Definition: A number pattern is a sequence of numbers that follows a specific rule. Examples: Identifying the Pattern Rule Observe the sequence: Look at how the numbers change. Ask guiding questions: Write the rule: Describe the relationship between consecutive terms. Types of Number Patterns<a class=\"more-link\" href=\"https:\/\/4thclass.deltapublications.in\/index.php\/i-3-number-patterns-word-problems\/\">Continue reading <span class=\"screen-reader-text\">&#8220;I.3 Number patterns: word problems&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-194","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/194","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=194"}],"version-history":[{"count":20,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/194\/revisions"}],"predecessor-version":[{"id":14553,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/194\/revisions\/14553"}],"wp:attachment":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=194"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}