2017-2018 Math 3 Curriculum (Grade 11)
A bit of philosophy regarding the teaching of mathematics:
Thus a teacher of mathematics has a great opportunity. If he fills his allotted time with drilling his students in routine operations he kills their interest, hampers their intellectual development, and misuses his opportunity. But if he challenges the curiosity of his students by setting them problems proportionate to their knowledge, and helps them to solve their problems with stimulating questions, he may give them a taste for, and some means of, independent thinking. (Polya, 1945)
The National Research Council identified five strands of mathematical proficiency:
In Grade 11 Math (Math 3) at High Tech High, the scope of the curriculum is prescribed by the Integrated track of the Common Core Standards (use the link to the left for more information on the Common Core Standards) and include topics such as statistics (determining differences between two sample populations), functions (rational, exponential, logarithmic, piecewise and trigonometric functions), composite and operations on functions, trigonometric wave functions and circle geometry. The objective is to cover the Common Core Standards (Integrated) whilst developing proficiency in the five strands outlined above. This is undertaken using three main types of activities: projects, open-ended problems and weekly problem sets. Projects are typically focused on one or two essential questions and can vary from three to six weeks in length; they normally culminate with some form of public presentation or demonstration of understanding. The nature of projects can vary from hands-on construction to a series of directed investigations. Open-ended problems are the primary class activity (individual or group) that is targeted at making sense of a problem and persevering in solving it, reasoning abstractly and quantitatively, constructing arguments, critiquing the reasoning of others, attending to precision, and looking for patterns, structures, and shortcuts. The Weekly “Problem of the Week” (POW) has objectives similar to open-ended problems, but is mainly done as homework, and there is a strong emphasis on presentation of work. In addition to these main activities, some emphasis will also be placed on SAT preparation, primarily through an in-class warm-up question.