Calculus Honors

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

Planned Course for Mathematics

Course: Calculus - Honors

Common Core State Standards: 
Previous attainment of the following Common Core State Standards prepares students for college level courses such as Calculus - Honors:
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 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 involves the study of limits, differentiation and integration formulas with applications, and related topics. Students will work with functions represented graphically, numerically, analytically and verbally, including the study of derivatives and integrals. Students are encouraged to purchase the TI-84 Plus Graphing Calculator for participation in this course.

Prerequisite:
Earn a minimum grade of 80% in Pre-Calculus with Trigonometry - Honors; or
Earn a minimum grade of 90% in Pre-Calculus with Trigonometry

Specific and measurable objectives to be attained by students:
Specific objectives for this course are aligned to the benchmarks in the scope and sequence document for Calculus - Honors.

Content to be used to reach objectives:
In order to provide a comprehensive Mathematics program, a variety of materials will be used.  

Materials: 

Text:
Larson, Ron, et al. Calculus I with Precalculus. 3rd ed., Brooks/Cole Cengage Learning, 2012.

Technology:
TI-84 Plus Graphing Calculator or TI-Nspire
TurningPoint Audience Response System
Geometer’s Sketchpad Software by KCP Technologies
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 projects, tests, quizzes, homework, classwork and other performance assessments.  Grades will be determined by at least five assignments per marking period.

6-12 Mathematics Committee                            Planned Course: Calculus H                                          March 2020