{"id":168,"date":"2024-07-01T13:40:47","date_gmt":"2024-07-01T13:40:47","guid":{"rendered":"http:\/\/localhost\/teachingsecondarymathematics\/?post_type=content&#038;p=168"},"modified":"2026-08-26T12:58:04","modified_gmt":"2026-08-26T12:58:04","slug":"chapter-4-planning","status":"publish","type":"content","link":"https:\/\/routledgelearning.com\/teachingsecondarymathematics\/content\/resources\/chapter-4-planning\/","title":{"rendered":"Chapter 4 &#8211; Planning"},"content":{"rendered":"\n<div class=\"wp-block-group alignwide has-base-background-color has-background has-global-padding is-layout-constrained wp-container-core-group-is-layout-15050843 wp-block-group-is-layout-constrained\" style=\"margin-top:0;padding-top:var(--wp--preset--spacing--60);padding-right:var(--wp--preset--spacing--60);padding-bottom:var(--wp--preset--spacing--60);padding-left:var(--wp--preset--spacing--60)\">\n<div class=\"wp-block-group alignwide has-global-padding is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group alignwide has-global-padding is-content-justification-left is-layout-constrained wp-container-core-group-is-layout-54d22900 wp-block-group-is-layout-constrained\"><nav style=\"--separator: &quot;\/&quot;\" class=\"wp-block-breadcrumbs\" aria-label=\"Breadcrumbs\"><ol><li><a href=\"https:\/\/routledgelearning.com\/teachingsecondarymathematics\/\">Home<\/a><\/li><li><a href=\"https:\/\/routledgelearning.com\/teachingsecondarymathematics\/content\/resources\/\">Resources<\/a><\/li><li><span aria-current=\"page\">Chapter 4 &#8211; Planning<\/span><\/li><\/ol><\/nav><\/div>\n\n\n\n<div class=\"wp-block-columns alignwide is-layout-flex wp-container-core-columns-is-layout-7387b849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:60%\"><h1 class=\"alignwide wp-block-post-title has-large-font-size\">Chapter 4 &#8211; Planning<\/h1>\n\n\n<p class=\"wp-block-paragraph\">Knowing the mathematical content and more, including teaching from the overflow of knowledge implies careful planning and organization. Prior to teaching, it is imperative that the topics covered be carefully contemplated, studied, and organized. This thinking and organizing need to be done well in advance to allow time for the ideas to germinate and blend into your subconscious. An effective teacher plans carefully. Advanced planning also provides the opportunity to connect topics from different lessons throughout the course.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:40%\">\n<media-player  load=\"visible\" id=\"vidstack-video-block_f5814d53e47bf1b9e59ae77bab5a0bd2\" class=\"vidstack-video\" title=\"Chapter 4 - Introduction\" src=\"https:\/\/s3-eu-west-1.amazonaws.com\/s3-euw1-ap-pe-ws4-cws-documents.ri-prod\/9781032028439\/chapter-4\/Chapter4-Intro.mp4\">\n  <media-provider>\n                  <media-poster\n          class=\"vds-poster\"\n          alt=\"\">\n        <\/media-poster>\n\n  <\/media-provider>\n  <media-video-layout><\/media-video-layout>\n  <media-controls class=\"vds-controls\">\n      <media-controls-group class=\"vds-controls-group\"><\/media-controls-group>\n  <\/media-controls>\n<\/media-player><\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-group has-base-background-color has-background has-global-padding is-layout-constrained wp-block-group-is-layout-constrained\" style=\"margin-top:0;padding-top:var(--wp--preset--spacing--70);padding-bottom:var(--wp--preset--spacing--70)\">\n<div class=\"wp-block-group alignwide is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-7387b849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<h2 id=\"aioseo-chapter-1-exercises\" class=\"wp-block-heading\">Exercises<\/h2>\n\n\n\n<div class=\"wp-block-group has-border-color has-black-border-color has-base-element-background-color has-background is-layout-flow wp-block-group-is-layout-flow\" style=\"border-width:2px;padding-top:var(--wp--preset--spacing--30);padding-right:var(--wp--preset--spacing--50);padding-bottom:var(--wp--preset--spacing--30);padding-left:var(--wp--preset--spacing--50)\">\n<div class=\"wp-block-group is-layout-flow wp-block-group-is-layout-flow\">\n<h3 id=\"aioseo-exercise-4-1\" class=\"wp-block-heading\">Exercise 4.1<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Create a list of advantages and disadvantages for each of the following evaluation techniques:\n<ul class=\"wp-block-list\">\n<li>quizzes<\/li>\n\n\n\n<li>tests<\/li>\n\n\n\n<li>portfolios<\/li>\n\n\n\n<li>group work<\/li>\n\n\n\n<li>reports<\/li>\n\n\n\n<li>individual projects<\/li>\n\n\n\n<li>Online applications.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">List any assessment techniques you feel are inappropriate for a secondary mathematics class and describe why you think they would not work for you.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-group is-layout-flow wp-block-group-is-layout-flow\">\n<h3 id=\"aioseo-exercise-4-2-how-can-shared-applications-be-effectively-utilized\" class=\"wp-block-heading\">Exercise 4.2 How can shared applications be effectively utilized?<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>How can shared online applications such as Google Docs be used for planning?<\/li>\n\n\n\n<li>How can teachers of mathematics use shared folders such as Box to plan common lessons?<\/li>\n\n\n\n<li>How can school administrators use shared folders such as Google Drive to share information?<\/li>\n<\/ol>\n\n\n\n<h3 id=\"aioseo-exercise-4-3-how-can-online-assessment-tools-be-used-for-effective-planning\" class=\"wp-block-heading\">Exercise 4.3 How can online assessment tools be used for effective planning?<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Create a 2 problem assessment using an only assessment tool such as formative <a href=\"https:\\\\www.formative.com\" target=\"_blank\" rel=\"noopener\" title=\"\">https:\\\\www.formative.com<\/a> and get students to take the assessment outside of class.&nbsp; How are the results beneficial to your planning?<\/li>\n\n\n\n<li>Name 3 online assessment tools that can be used to inform your planning.<\/li>\n<\/ol>\n<\/div>\n<\/div>\n\n\n\n<h2 id=\"aioseo-problem-solving-challenges\" class=\"wp-block-heading\">Problem Solving Challenges<\/h2>\n\n\n\n<div class=\"wp-block-group has-border-color has-black-border-color has-base-element-background-color has-background is-layout-flow wp-block-group-is-layout-flow\" style=\"border-width:2px;padding-top:var(--wp--preset--spacing--30);padding-right:var(--wp--preset--spacing--50);padding-bottom:var(--wp--preset--spacing--30);padding-left:var(--wp--preset--spacing--50)\">\n<div class=\"wp-block-group is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><strong>1. Largest Number&nbsp;&nbsp;&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">What is the largest number you can write using three digits? You may use a digit more than once.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Hint:&nbsp; What about exponents?<\/strong><\/p>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>Answer<\/summary>\n<p class=\"wp-block-paragraph\">Answer\/solution: .<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Using nines for each digit, there are four choices: 999, 99<sup>9<\/sup>, 9<sup>99<\/sup>, and .<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">999&nbsp; = 999<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">99<sup>9<\/sup> = 913517247483640899<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">9<sup>99<\/sup> = 29512665430652752148753480226197736314359272517043832886063884637676943433478020332709411004889<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">has over 356,000,000 digits.<\/p>\n<\/details>\n<\/div>\n\n\n\n<div class=\"wp-block-group is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><strong>2. <\/strong><strong>Handy Man<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A man walks into a hardware store. He buys 1 for a dollar, 50 for two dollars, and 200 for three dollars. What is the man buying?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Hint:&nbsp; Think about Amazon Deliverables.<\/strong><\/p>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>Answer<\/summary>\n<p class=\"wp-block-paragraph\">Answer\/solution: House numbers (decals).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Typical guesses include nuts, bolts, nails, washers, etc. Actually, the 1 is made up of one digit, 50 is made up of two digits, and 200 is made up of three digits. Each digit (decal) costs $1.&nbsp; Therefore, if your house number is 200, then you would need three digits, which would cost $3.<\/p>\n<\/details>\n<\/div>\n<\/div>\n\n\n\n<h2 id=\"aioseo-additional-learning-activities\" class=\"wp-block-heading\">Additional Learning Activities<\/h2>\n\n\n\n<div class=\"wp-block-group has-border-color has-black-border-color has-base-element-background-color has-background is-layout-flow wp-block-group-is-layout-flow\" style=\"border-width:2px;padding-top:var(--wp--preset--spacing--50);padding-right:var(--wp--preset--spacing--50);padding-bottom:var(--wp--preset--spacing--50);padding-left:var(--wp--preset--spacing--50)\">\n<div class=\"wp-block-group is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"wp-block-paragraph\">There is no Additional Learning Activities for this chapter.<\/p>\n<\/div>\n<\/div>\n\n\n\n<h2 id=\"aioseo-videos\" class=\"wp-block-heading\">Videos<\/h2>\n\n\n\n<div class=\"wp-block-group has-border-color has-black-border-color has-base-element-background-color has-background is-layout-flow wp-block-group-is-layout-flow\" style=\"border-width:2px;padding-top:var(--wp--preset--spacing--50);padding-right:var(--wp--preset--spacing--50);padding-bottom:var(--wp--preset--spacing--50);padding-left:var(--wp--preset--spacing--50)\">\n<div class=\"wp-block-columns are-vertically-aligned-top is-layout-flex wp-container-core-columns-is-layout-7387b849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-top is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-group is-vertical is-layout-flex wp-container-core-group-is-layout-2c90304e wp-block-group-is-layout-flex\">\n<media-player  load=\"visible\" id=\"vidstack-video-block_613632b32e3bcc3de936a60b2fe962c3\" class=\"vidstack-video\" title=\"Problem Solving\" src=\"https:\/\/s3-eu-west-1.amazonaws.com\/s3-euw1-ap-pe-ws4-cws-documents.ri-prod\/9781032028439\/chapter-4\/Chapter4-PSC.mp4\">\n  <media-provider>\n                  <media-poster\n          class=\"vds-poster\"\n          alt=\"\">\n        <\/media-poster>\n\n  <\/media-provider>\n  <media-video-layout><\/media-video-layout>\n  <media-controls class=\"vds-controls\">\n      <media-controls-group class=\"vds-controls-group\"><\/media-controls-group>\n  <\/media-controls>\n<\/media-player>\n\n\n<h3 id=\"aioseo-problem-solving\" class=\"wp-block-heading\">Problem Solving<\/h3>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-top is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-group is-vertical is-layout-flex wp-container-core-group-is-layout-fba139f5 wp-block-group-is-layout-flex\">\n<media-player  load=\"visible\" id=\"vidstack-video-block_d45893ff816e6c379bfb81ca4b65a7ec\" class=\"vidstack-video\" title=\"Sticky Question\" src=\"https:\/\/s3-eu-west-1.amazonaws.com\/s3-euw1-ap-pe-ws4-cws-documents.ri-prod\/9781032028439\/chapter-4\/Chapter4-Sticky.mp4\">\n  <media-provider>\n                  <media-poster\n          class=\"vds-poster\"\n          alt=\"\">\n        <\/media-poster>\n\n  <\/media-provider>\n  <media-video-layout><\/media-video-layout>\n  <media-controls class=\"vds-controls\">\n      <media-controls-group class=\"vds-controls-group\"><\/media-controls-group>\n  <\/media-controls>\n<\/media-player>\n\n\n<h3 id=\"aioseo-sticky-question\" class=\"wp-block-heading\">Sticky Question<\/h3>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p class=\"wp-block-paragraph\"><strong>On this page<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-base-background-color has-background is-horizontal is-content-justification-space-between is-nowrap is-layout-flex wp-container-core-group-is-layout-9c6c4bab wp-block-group-is-layout-flex wp-container-1 is-position-sticky\">\n<nav aria-label=\"Table of Contents\" class=\"wp-block-table-of-contents\"><ol><li><a class=\"wp-block-table-of-contents__entry\" href=\"https:\/\/routledgelearning.com\/teachingsecondarymathematics\/content\/resources\/chapter-4-planning\/#aioseo-chapter-1-exercises\">Exercises<\/a><ol><li><a class=\"wp-block-table-of-contents__entry\" href=\"https:\/\/routledgelearning.com\/teachingsecondarymathematics\/content\/resources\/chapter-4-planning\/#aioseo-exercise-4-1\">Exercise 4.1<\/a><\/li><li><a class=\"wp-block-table-of-contents__entry\" href=\"https:\/\/routledgelearning.com\/teachingsecondarymathematics\/content\/resources\/chapter-4-planning\/#aioseo-exercise-4-2-how-can-shared-applications-be-effectively-utilized\">Exercise 4.2 How can shared applications be effectively utilized?<\/a><\/li><li><a class=\"wp-block-table-of-contents__entry\" href=\"https:\/\/routledgelearning.com\/teachingsecondarymathematics\/content\/resources\/chapter-4-planning\/#aioseo-exercise-4-3-how-can-online-assessment-tools-be-used-for-effective-planning\">Exercise 4.3 How can online assessment tools be used for effective planning?<\/a><\/li><\/ol><\/li><li><a class=\"wp-block-table-of-contents__entry\" href=\"https:\/\/routledgelearning.com\/teachingsecondarymathematics\/content\/resources\/chapter-4-planning\/#aioseo-problem-solving-challenges\">Problem Solving Challenges<\/a><\/li><li><a class=\"wp-block-table-of-contents__entry\" href=\"https:\/\/routledgelearning.com\/teachingsecondarymathematics\/content\/resources\/chapter-4-planning\/#aioseo-additional-learning-activities\">Additional Learning Activities<\/a><\/li><li><a class=\"wp-block-table-of-contents__entry\" href=\"https:\/\/routledgelearning.com\/teachingsecondarymathematics\/content\/resources\/chapter-4-planning\/#aioseo-videos\">Videos<\/a><ol><li><a class=\"wp-block-table-of-contents__entry\" href=\"https:\/\/routledgelearning.com\/teachingsecondarymathematics\/content\/resources\/chapter-4-planning\/#aioseo-problem-solving\">Problem Solving<\/a><\/li><li><a class=\"wp-block-table-of-contents__entry\" href=\"https:\/\/routledgelearning.com\/teachingsecondarymathematics\/content\/resources\/chapter-4-planning\/#aioseo-sticky-question\">Sticky Question<\/a><\/li><\/ol><\/li><\/ol><\/nav>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Knowing the mathematical content and more, including teaching from the overflow of knowledge implies careful planning and organization. Prior to teaching, it is imperative that the topics covered be carefully contemplated, studied, and organized. This thinking and organizing need to be done well in advance to allow time for the ideas to germinate and blend [&hellip;]<\/p>\n","protected":false},"featured_media":0,"parent":112,"menu_order":0,"template":"no-title-2","format":"standard","meta":{"_acf_changed":false},"categories":[],"class_list":["post-168","content","type-content","status-publish","format-standard","hentry"],"acf":[],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO Pro 5.0.1.1 - aioseo.com -->\n\t<meta name=\"description\" content=\"Knowing the mathematical content and more, including teaching from the overflow of knowledge implies careful planning and organization. Prior to teaching, it is imperative that the topics covered be carefully contemplated, studied, and organized. 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