{"id":5657,"date":"2024-02-09T13:35:39","date_gmt":"2024-02-09T21:35:39","guid":{"rendered":"https:\/\/mathtalk.sdsu.edu\/wordpress\/?page_id=5657"},"modified":"2024-02-09T14:34:34","modified_gmt":"2024-02-09T22:34:34","slug":"binomials-lesson-1","status":"publish","type":"page","link":"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-students\/multiplying-binomials-unit\/binomials-lesson-1\/","title":{"rendered":"Binomials Lesson 1"},"content":{"rendered":"\n

Understanding Area<\/h3>\n\n\n\n

Emily and Mauricio recall the formula to find the area of a rectangle: Area equals length times width (A = L \u2022 W). Then they go beyond the formula to understand the meaning of area measurement units (such as a square inch or a square centimeter), the relationship between linear and area measurement units, what the 24 in 24 in2<\/sup> represents, and the meaning of multiplication in the area formula. <\/p>\n\n\n\n

Episode 1: Making Sense <\/a><\/strong><\/h5>\n\n\n\n

Mauricio and Emily distinguish between area and perimeter in the context of a rectangular pizza, as the amount of pizza one gets to eat versus the distance around the pizza.\u00a0\u00a0<\/p>\n\n\n\n

Episode 2: Exploring<\/a> <\/strong><\/h5>\n\n\n\n

Emily and Mauricio find the area of two differently-sized rectangular pizza slices in order to determine whether each slice has the same amount of pizza.\u00a0<\/p>\n\n\n\n

Episode 3: Reflecting <\/a><\/strong><\/h5>\n\n\n\n

The students reflect on the meaning of 24 in2<\/sup>\u00a0as the area of a rectangular piece of pizza, by drawing 24 of something inside the pizza and by considering the meaning of an inch squared.\u00a0<\/p>\n\n\n\n

Episode 4: Exploring<\/a> <\/strong><\/h5>\n\n\n\n

Emily and Mauricio revise their drawing from Episode 3, this time showing the meaning of 24 in2<\/sup>\u00a0as 24 units where each unit is a square with side length of 1 inch.\u00a0<\/p>\n\n\n\n

Episode 5: Reflecting<\/a> <\/strong><\/h5>\n\n\n\n

Mauricio and Emily reflect on the meaning of two other area measurement units\u2014cm2<\/sup>\u00a0and ft2<\/sup>.\u00a0<\/p>\n\n\n\n

Episode 6: Exploring <\/a><\/strong><\/h5>\n\n\n\n

The students\u00a0<\/strong>create and use a drawing, rather than a formula, to find the area of a rectangle that is 7 inches long and 4.5 inches wide.\u00a0<\/p>\n\n\n\n

Episode 7: Repeating Your Reasoning<\/a> <\/strong><\/h5>\n\n\n\n

Emily and Mauricio apply their understanding of area to create four different shapes, each with an area of 8 cm2<\/sup>.\u00a0<\/p>\n\n\n\n

Episode 8: Reflecting<\/a>\u00a0<\/strong><\/h5>\n\n\n\n

Mauricio and Emily reflect on the meaning of multiplication in the formula for the area of a rectangle.\u00a0<\/p>\n\n\n\n

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Home<\/a><\/div>\n\n\n\n
Units<\/a><\/div>\n\n\n\n
Binomials<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Understanding Area Emily and Mauricio recall the formula to find the area of a rectangle: Area equals length times width (A = L \u2022 W). Then they go beyond the formula to understand the meaning of area measurement units (such as a square inch or a square centimeter), the relationship between linear and area measurement […]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":143,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-5657","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/5657","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=5657"}],"version-history":[{"count":10,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/5657\/revisions"}],"predecessor-version":[{"id":5696,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/5657\/revisions\/5696"}],"up":[{"embeddable":true,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/143"}],"wp:attachment":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/media?parent=5657"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}