{"id":7887,"date":"2024-08-20T17:08:49","date_gmt":"2024-08-21T00:08:49","guid":{"rendered":"https:\/\/mathtalk.sdsu.edu\/wordpress\/?page_id=7887"},"modified":"2024-08-21T10:36:46","modified_gmt":"2024-08-21T17:36:46","slug":"proportional-reasoning-unit-teacher-educators","status":"publish","type":"page","link":"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-teacher-educators\/pre-service-teacher-training\/proportional-reasoning-unit-teacher-educators\/","title":{"rendered":"Proportional Reasoning Unit (Teacher Educators)"},"content":{"rendered":"\n<p>Proportional reasoning is an important topic that middle school teachers need to address, but it is also foundational for later topics in high school algebra and calculus: slope, changing rates (quadratic functions), and instantaneous rates of changes (derivative). Pre-service teachers experience an inquiry-oriented mathematics unit on proportional reasoning, which provides them with opportunities to: (a) make explicit and deepen&nbsp;&nbsp;implicit conceptual underpinnings of their own proportional reasoning; (b) learn to create drawings, explanations and representations that will help their future students develop understanding of ratios and proportions; and (c) analyze secondary school students\u2019 reasoning and conceptual challenges through the regular use of student work and Project MathTalk videos.&nbsp;<br> <br><\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-a822f416dacb4ac442679f84eecfe696\" style=\"color:#2759c5\"><strong>Lesson 1: What Is Proportional Reasoning?&nbsp;<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/docs.google.com\/presentation\/d\/1LHh6fgO7x2-6jC74AftZqWJlnsNbgA0Q\/edit?usp=drive_link&amp;ouid=101014082776043017884&amp;rtpof=true&amp;sd=true\" target=\"_blank\" rel=\"noreferrer noopener\"><em><strong>Lesson 1 PowerPoint<\/strong><\/em><\/a><strong><em>:<\/em>&nbsp;<\/strong>Click on link. Download as a PowerPoint presentation. Do NOT open\/download in Google Slides, or formatting and some content may be lost.<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Lesson 1 Instructor Notes\u00a0<\/strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-1-Instructor-Notes.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Activity 1 for Lesson 1\u00a0<\/strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-1-Activity-1.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Activity 2 for Lesson 1\u00a0<\/strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-1-Activity-2.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Homework 1\u00a0<\/strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-1-Homework.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Reading for Homework 1\u00a0<\/strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-1-Reading-for-Homework.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><br> <br> <\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-4922e59d404725cfa721a881566a499b\" style=\"color:#2759c5\"><strong>Lesson 2: What Does NON-Proportional Reasoning Look Like?&nbsp;<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/docs.google.com\/presentation\/d\/1FTm38VJksxudiJ5APlMl5t7dtArqDL-M\/edit?usp=sharing&amp;ouid=101014082776043017884&amp;rtpof=true&amp;sd=true\" target=\"_blank\" rel=\"noreferrer noopener\"><em><strong>Lesson 2 PowerPoint<\/strong><\/em><\/a><strong><em>:&nbsp;<\/em><\/strong>Click on link. Download as a PowerPoint presentation. Do NOT open\/download in Google Slides, or formatting and some content may be lost.<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Lesson 2 Instructor Notes\u00a0<\/strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-2-Instructor-Notes.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Activity 1 for Lesson 2<\/strong> <a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-2-Activity-1.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Activity 2 for Lesson 2<\/strong> <a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-2-Activity-2.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Activity 3 for Lesson 2<\/strong> <a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-2-Activity-3.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Homework 2\u00a0<\/strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-2-Homework.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Reading for Homework 2\u00a0<\/strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-2-Reading-for-Homework.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><br> <br> <\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-b392607957155604a1a0c9cc984db999\" style=\"color:#2759c5\"><strong>Lesson 3: Forming a Ratio as a Composed Unit&nbsp;<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/docs.google.com\/presentation\/d\/1BI34m2ZKh-pnDQpaR2b1GSw2_8JBdDn8\/edit?usp=sharing&amp;ouid=101014082776043017884&amp;rtpof=true&amp;sd=true\" target=\"_blank\" rel=\"noreferrer noopener\"><em><strong>Lesson 3 PowerPoint<\/strong><\/em><\/a><strong><em>:<\/em>&nbsp;<\/strong>Click on link. Download as a PowerPoint presentation. Do NOT open\/download in Google Slides, or formatting and some content may be lost.<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Lesson 3 Instructor Notes\u00a0<\/strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-3-Instructor-Notes.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Activity 1 for Lesson 3<\/strong> <a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-3-Activity-1.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Activity 2 for Lesson 3<\/strong> <a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-3-Activity-2.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Activity 3 for Lesson 3\u00a0<\/strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-3-Activity-3.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Homework 3\u00a0<\/strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-3-Homework.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Reading for Homework 3\u00a0<\/strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-3-Reading-for-Homework.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><br> <br> <\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-5cf79259550e603089c5f57640201928\" style=\"color:#2759c5\"><strong>Lesson 4: Forming a Ratio as Multiplicative Comparison&nbsp;<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/docs.google.com\/presentation\/d\/10FGqxTNYAdaMx9uonTrONZzhEJ2s5op1\/edit?usp=sharing&amp;ouid=101014082776043017884&amp;rtpof=true&amp;sd=true\" target=\"_blank\" rel=\"noreferrer noopener\"><em><strong>Lesson 4 PowerPoint<\/strong><\/em><\/a><strong><em>:<\/em>&nbsp;<\/strong>Click on link. Download as a PowerPoint presentation. Do NOT open\/download in Google Slides, or formatting and some content may be lost.<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Lesson 4 Instructor Notes\u00a0<\/strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-4-Instructor-Notes.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Activity 1 for Lesson 4<\/strong> <a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-4-Activity-1.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Activity 2 for Lesson 4<\/strong> <a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-4-Activity-2.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Homework 4\u00a0<\/strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-4-Homework.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Reading for Homework 4\u00a0<\/strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-4-Reading-for-Homework.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><br> <br> <\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-b3ba38062923c3c7271c6e8d1bb86b3d\" style=\"color:#2759c5\"><strong>Lesson 5: Effective Explanations<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/docs.google.com\/presentation\/d\/1PQZ17Cl2wSmWjxRnVHd2taSCBAxVGeeG\/edit?usp=sharing&amp;ouid=101014082776043017884&amp;rtpof=true&amp;sd=true\" target=\"_blank\" rel=\"noreferrer noopener\"><em><strong>Lesson 5 PowerPoint<\/strong><\/em><\/a><strong><em>:<\/em>&nbsp;<\/strong>Click on link. Download as a PowerPoint presentation. Do NOT open\/download in Google Slides, or formatting and some content may be lost.<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Lesson 5 Instructor Notes\u00a0<\/strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-5-Instructor-Notes.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Activity 1 for Lesson 5 <\/strong> <a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-5-Activity-1.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Explanation 1 for Activity 1<\/strong> <a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-5-Activity-1-Explanation-1.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Explanation 2 for Activity 1<\/strong> <a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-5-Activity-1-Explanation-2.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Activity 2A for Lesson 5<\/strong> <a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-5-Activity-2A.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Activity 2B for Lesson 5<\/strong> <a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-5-Activity-2B.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Homework 5\u00a0<\/strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-5-Homework.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Reading for Homework 5\u00a0<\/strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-5-Reading-for-Homework.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><br> <br> <\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-5e6ca365e5cfa21d5e2a52e7cb109fc8\" style=\"color:#2759c5\"><strong>Lesson 6: Interpreting Ratios as Functions<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/docs.google.com\/presentation\/d\/1mx8F5vq5qRZXrjEq295xZJvquBbvRFtW\/edit?usp=sharing&amp;ouid=101014082776043017884&amp;rtpof=true&amp;sd=true\" target=\"_blank\" rel=\"noreferrer noopener\"><em><strong>Lesson 6 PowerPoint<\/strong><\/em><\/a><strong><em>:<\/em>&nbsp;<\/strong>Click on link. Download as a PowerPoint presentation. Do NOT open\/download in Google Slides, or formatting and some content may be lost.<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Lesson 6 Instructor Notes\u00a0<\/strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-6-Instructor-Notes.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Activity for Lesson 6<\/strong> <a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-6-Activity.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Homework 6<\/strong> <a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-6-Reading-for-Homework.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Reading for Homework 6\u00a0<\/strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-6-Homework.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Optional Additional Reading\u00a0<\/strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2024\/08\/TE-Proportional-Reasoning-Lesson-6-Optional-Additional-Reading.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"34\" height=\"34\" class=\"wp-image-2214\" src=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-content\/uploads\/2020\/07\/pdf.jpg\" alt=\"\"><\/a><\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-background wp-element-button\" href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/\" style=\"background-color:#2d4059\">Home<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-background wp-element-button\" href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-teacher-educators\/\" style=\"background-color:#2d4059\">TEACHER EDUCATORS<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-background wp-element-button\" href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-teacher-educators\/pre-service-teacher-training\/\" style=\"background-color:#2d4059\">Pre-SerVice<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Proportional reasoning is an important topic that middle school teachers need to address, but it is also foundational for later topics in high school algebra and calculus: slope, changing rates (quadratic functions), and instantaneous rates of changes (derivative). Pre-service teachers experience an inquiry-oriented mathematics unit on proportional reasoning, which provides them with opportunities to: (a) [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":6976,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-7887","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/7887","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/comments?post=7887"}],"version-history":[{"count":20,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/7887\/revisions"}],"predecessor-version":[{"id":7915,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/7887\/revisions\/7915"}],"up":[{"embeddable":true,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/6976"}],"wp:attachment":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/media?parent=7887"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}