{"id":271,"date":"2016-01-19T12:55:27","date_gmt":"2016-01-19T20:55:27","guid":{"rendered":"http:\/\/westvancouverschools.ca\/apsi\/?page_id=271"},"modified":"2017-01-09T11:01:48","modified_gmt":"2017-01-09T19:01:48","slug":"calculus-ab","status":"publish","type":"page","link":"https:\/\/westvancouverschools.ca\/apsi\/calculus-ab\/","title":{"rendered":"Calculus AB"},"content":{"rendered":"

AP Calculus AB
\nPresenter – Larry Peterson<\/h1>\n

Course Description for AB Calculus<\/strong>.\u00a0 Larry Peterson<\/p>\n

The calculus session will cover all topics on the Calculus AB syllabus which includes limits and continuity, definition of derivative, applications of the derivative, rate of change, Mean Value Theorem, Riemann sums, average value, integration, applications of integration, Fundamental Theorem of Calculus, slope fields, applications of antidifferentiation and separable differential equations.\u00a0 This institute is designed to focus on the content knowledge described in the AP syllabus as well as techniques and ideas for developing a successful AP program.\u00a0 We will cover topic content, strategies, and teaching techniques for presenting the material for student understanding will be shared.\u00a0 We will use multiple representations \u2011 graphical, numerical, analytic, and verbal \u2011 to foster a more complete understanding of calculus.\u00a0 Sample problems from previous AP exams will be given and solved together to develop an understanding of the material and the College Board philosophy including Understanding by Design.\u00a0 \u00a0Participants will also receive a variety of classroom\u2011tested activities and calculator programs to enhance their own teaching.\u00a0 We will discuss ways to prepare students for the AP exam. Participants should bring a TI\u201183\/84 graphing calculator.<\/p>\n

Tentative Outline<\/strong><\/p>\n

Pre-Calculus Review<\/strong>
\nSummer worksheet
\nCalculator activities<\/p>\n

Limits<\/strong>
\nGraphically
\nNumerically
\nVisual representations
\nAlgebraically
\nApplications<\/p>\n

The Derivative<\/strong>
\nIntroduction Activity \u2013 The 20 Minute Ride
\nGraphical representation
\nDifference quotients
\nFormal definition
\nRules for differentiation
\nImplicit derivatives
\nExplicit derivatives<\/p>\n

Applications of the Derivative<\/strong>
\nCurve analysis
\nMax and Min
\nIncreasing and decreasing behavior
\nInflection points
\nConcavity
\nTangent and normal lines
\nLocal linearization
\nOptimization problems
\nParticle motion
\nCalculator representation
\nRelated rates
\nApplications<\/p>\n

Student Activities
\nCard match
\nCalculus Reaction Course
\nRelay races<\/p>\n

Anti-Derivatives<\/strong>
\nSubstitution Roundtable
\nDifferential equations
\nSlope fields<\/p>\n

The Definite Integral<\/strong>
\nRiemann Sums
\nTrapezoidal Rule
\nFundamental Theorem of Calculus
\nApplications
\nArea
\nVolumes of solids of revolution
\nVolumes of solids with known cross section
\nModel activity
\nThe Integral as an Accumulator<\/p>\n

Preparing for the AP Exam<\/strong>
\nTime lines
\nThe AP Philosophy
\nPast Exams<\/p>\n

 <\/p>\n

\n

Larry Peterson – Bio<\/h1>\n

\"larrypeterson\"Larry Peterson earned his B.S. in Mathematics Education from Utah State University and his M. Ed. from Weber State University. He has taught AP* Calculus since 1976, currently teaching AP* Calculus and AP* Statistics at Northridge High School in Layton, Utah.<\/p>\n

Larry\u2019s experience with Advanced Placement ranges from Calculus to Computer Science to Statistics. He has been a reader for the AP* Calculus exam for 14 years, serving as a Table Leader for the past 6 years. In 2003 and 2004 Larry was also a Question Leader. He is also a regular presenter at state, regional, national, and international conventions in mathematics and technology and has published materials for both AP* Calculus and AP* Statistics.<\/p>\n

In addition to his work as a College Board consultant, Larry served a six-year term as a member of the Board of Directors of the National Board for Professional Teaching Standards. His awards include: Milken Educator, Tandy Scholar, Disney American Teacher Award winner, and Utah Teacher of the Year.<\/p>\n","protected":false},"excerpt":{"rendered":"

AP Calculus AB
\nPresenter – Larry Peterson
\nCourse Description for AB Calculus.\u00a0 Larry Peterson
\nThe calculus session will cover all topics on the Calculus AB syllabus which includes limits and continuity,<\/p>\n","protected":false},"author":20,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-271","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/westvancouverschools.ca\/apsi\/wp-json\/wp\/v2\/pages\/271","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/westvancouverschools.ca\/apsi\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/westvancouverschools.ca\/apsi\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/westvancouverschools.ca\/apsi\/wp-json\/wp\/v2\/users\/20"}],"replies":[{"embeddable":true,"href":"https:\/\/westvancouverschools.ca\/apsi\/wp-json\/wp\/v2\/comments?post=271"}],"version-history":[{"count":0,"href":"https:\/\/westvancouverschools.ca\/apsi\/wp-json\/wp\/v2\/pages\/271\/revisions"}],"wp:attachment":[{"href":"https:\/\/westvancouverschools.ca\/apsi\/wp-json\/wp\/v2\/media?parent=271"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}