A large conceptual leap is needed to steer students away from the idea that the limit and function values are not necessarily the same. Concepts/Content: Competencies/Skills: Description of Activities: Limits evaluate limits by graph teacher led direct instruction indeterminate forms evaluate limits by table question & answer limits involving infinity evaluate limits with algebra check/review HW continuity test for continuity warm-up / exit ticket questions piece-wise functions test for conditions of IVT quiz Intermediate Value Theorem problem set end-of-unit test specific example of activity thought experiment with visiting friend and the concept of limit Assessments: informal questioning quiz problem set end-of-unit test Interdisciplinary Connections: Additional Resources: asymptotic behavior a measurement of computer Foerster textbook (Kendall Hunt) sections: 2-2, 2-3, 2-4, – – algorithm efficiency 2-6 textbook supplemental materials (explorations) TI-89 graphing calculator, desmos.com selected MC/FR items from released AP exams College Board’s AP Calculus AB course description
A large conceptual leap is needed to steer students away from the idea that the limit and function values are not necessarily the same. Concepts/Content: Limits indeterminate forms limits involving infinity continuity piece-wise functions Intermediate Value Theorem Competencies/Skills: evaluate limits by graph evaluate limits by table evaluate limits with algebra test for continuity test for conditions of IVT Description of Activities: teacher led direct instruction question & answer check/review HW warm-up / exit ticket questions quiz problem set end-of-unit test specific example of activity thought experiment with visiting friend and the concept of limit Assessments: informal questioning quiz problem set end-of-unit test Interdisciplinary Connections: asymptotic behavior – a measurement of computer algorithm efficiency Additional Resources: Foerster textbook (Kendall Hunt) – sections: 2-2, 2-3, 2-4, 2-6 textbook supplemental materials (explorations) TI-89 graphing calculator, desmos.com selected MC/FR items from released AP exams College Board’s AP Calculus AB course description
2017-AP-Calculus-AB-BHASD-Math-Curriculum.docx