{"id":336,"date":"2013-01-18T21:33:14","date_gmt":"2013-01-18T21:33:14","guid":{"rendered":"http:\/\/www.carmelschettino.com\/wp\/?page_id=336"},"modified":"2014-02-16T14:17:13","modified_gmt":"2014-02-16T14:17:13","slug":"motivational-problems","status":"publish","type":"page","link":"https:\/\/www.carmelschettino.com\/dev0418\/problem-based-learning\/motivational-problems\/","title":{"rendered":"Motivational Problems"},"content":{"rendered":"

I speak a great deal about the “PBL continuum” from low to high – how much problem-based work you are able to do in your classroom (see blog entry<\/a>). \u00a0Below are the sets of “Motivational Problems” or MPs I call them, that allow you to assign problems for discussion while also covering topics listed in a traditional syllabus in order to stay with a set of colleagues. \u00a0You do need to make sure you explain to the students that they are considered “Motivational” in nature because as homework problems the students are not necessarily supposed to know how to complete the problems in total. \u00a0They might only have an idea of how to start or how to connect it to what they learned the previous day. \u00a0Be sure to tell the students that they are only to grapple with them for about 20 minutes or so, perhaps you have assigned 6 or 7. \u00a0The next day in class, the class will discuss all of the problems and be sure to formalize any new material that was learned. \u00a0You can then assign “practice problems” from the textbook.<\/p>\n

Here are some that I have put together over the years. \u00a0If you choose to use them please give credit to all of the contributing authors who include Phillips Exeter Academy faculty, Emma Willard Faculty and myself. \u00a0As I continue transitioning to a new curriculum in my Algebra II course this year, I will probably be writing more, so keep checking in.<\/p>\n

Algebra<\/strong><\/span>
\nMP on Slope and Equations of Lines
\n<\/a>Motivational Problems on Linear Functions<\/a>
\n<\/a><\/p>\n

Geometry<\/strong><\/span>
\nMP on Area<\/a>
\nMotivational Problems on Circles<\/a><\/p>\n

Algebra II<\/strong><\/span>
\nMPs on distance<\/a>
\nMP on quadratic equations and graphs
\n<\/a>Motivational Problems on Optimization<\/a>\u00a0(max\/min with functions on calculator)
\nMPs on Rational Exponents
\n<\/a>MPs on Polynomial Functions
\n<\/a>Understanding Asymptotes
\n<\/a>MPs on Exponential and Logarithmic Functions<\/a><\/p>\n

Trigonometry<\/strong><\/span>
\nMP on Sum and Difference\/Double angle Identitites
\n<\/a>MPs on Trig Ratios on Axes<\/a>
\n<\/a>MP Graphs of Trig Functions<\/a>
\n<\/a><\/p>\n

Precalculus<\/strong><\/span>
\nMPs Advanced Functions<\/a>
\nMP combinatorics and sets
\n<\/a>MPs on Counting<\/a>
\n<\/a>MP Sequences
\n<\/a>MP Series<\/a><\/p>\n

Calculus
\nBC Calculus PBL Problems<\/a>
\n<\/strong><\/span><\/p>\n

 <\/p>\n\n

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I speak a great deal about the “PBL continuum” from low to high – how much problem-based work you are able to do in your classroom (see blog entry). \u00a0Below are the sets of “Motivational Problems” or MPs I call them, that allow you to assign problems for discussion while also covering topics listed in […]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":25,"menu_order":0,"comment_status":"open","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-336","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.carmelschettino.com\/dev0418\/wp-json\/wp\/v2\/pages\/336","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.carmelschettino.com\/dev0418\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.carmelschettino.com\/dev0418\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.carmelschettino.com\/dev0418\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.carmelschettino.com\/dev0418\/wp-json\/wp\/v2\/comments?post=336"}],"version-history":[{"count":20,"href":"https:\/\/www.carmelschettino.com\/dev0418\/wp-json\/wp\/v2\/pages\/336\/revisions"}],"predecessor-version":[{"id":351,"href":"https:\/\/www.carmelschettino.com\/dev0418\/wp-json\/wp\/v2\/pages\/336\/revisions\/351"}],"up":[{"embeddable":true,"href":"https:\/\/www.carmelschettino.com\/dev0418\/wp-json\/wp\/v2\/pages\/25"}],"wp:attachment":[{"href":"https:\/\/www.carmelschettino.com\/dev0418\/wp-json\/wp\/v2\/media?parent=336"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}