Advanced Placement Calculus

School District of Upper Moreland Township
2900 Terwood Road
Willow Grove, Pa 19090

Planned Course for Mathematics

Course: Advanced Placement Calculus 

Common Core State Standards:
Previous attainment of the following Common Core State Standards prepares students for college level courses such as Advanced Placement Calculus: 
NQ   Number and Quantity
A     Algebra
F     Functions
M    Modeling
G    Geometry
SP   Statistics and Probability

Course Description:
The School District of Upper Moreland Township’s Mathematics Program provides courses to meet the educational needs, interests and ability levels of all students.  The middle school and high school courses are designed to apply mathematical ways of thinking to real world situations; they prepare students to think and reason mathematically. Additionally, courses demand that students develop a depth of understanding and ability to apply mathematics to various situations preparing students for future college and career expectations.  

This course is extremely rigorous and is meant to prepare students for the Advanced Placement Calculus AB Test.  This course provides an intensive study of limits, continuity, derivatives and their application, methods of integration and their application, and related topics.  Students who take this course are strongly encouraged to take the Advanced Placement Calculus Test. Students are also encouraged to purchase the TI-84 Plus Graphing Calculator for participation in this course.

Prerequisite:  
Earn a minimum grade of 90% in Pre-Calculus with Trigonometry - Honors; or
Earn a minimum grade of 95% in Pre-Calculus with Trigonometry

Specific and measurable objectives to be attained by students:
Specific objectives for this course are aligned to the College Board benchmarks in the scope and sequence document for Advanced Placement Calculus.

Materials:
Text:
Demana, Franklin D., et al. Calculus: Graphical, Numerical, Algebraic AP Edition. Pearson, 2020.

Technology:
TI-84 Plus Graphing Calculator or TI-Nspire
TurningPoint Audience Response System
LinkIt!

Other Resources: 
Manipulatives
Teacher created materials

Instructional Activities:
A balanced mathematics program demands the use of a variety of activities to stimulate thinking, conceptualizing, generalizing and problem-solving.  Below is a list of those different activities.

  • Differentiation

  • Critical Reasoning

  • Higher Level Thinking Skills

  • Collaboration

  • Questioning

  • Authentic real-world tasks

  • Use of appropriate resources and technology

  • Self Assessment

  • Reflection

  • Modeling

Estimated instructional time to be devoted to achieving objectives: 
Approximately 89 minutes per day on an alternating block schedule.

Procedure for measurement of student progress on attaining objectives: 

Teachers use a variety of assessments to determine student proficiency:

  • Formative assessment

  • Summative assessment

  • Participation/class work

  • Group discussion

  • Group collaboration

An explanation of how student grades will be determined:
Students will be evaluated in the areas of classwork, homework, class participation, tests, quizzes and other performance assessments.  Grades will be determined by at least five assignments per marking period.

6-12 Mathematics Committee                            Planned Course: Advanced Placement Calculus                     March 2020