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Learning and Understanding: Improving Advanced Study of Mathematics and Science in U.S. High Schools: Report of the Content Panel for Mathematics (2002)

Chapter: Appendix D: Topical Outline for AP Calculus BC

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Page 60 Cite
Suggested Citation:"Appendix D: Topical Outline for AP Calculus BC." National Research Council. 2002. Learning and Understanding: Improving Advanced Study of Mathematics and Science in U.S. High Schools: Report of the Content Panel for Mathematics. Washington, DC: The National Academies Press. doi: 10.17226/10380.
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Box 2-3
SYLLABUS OUTLINE

MATHEMATICS – HL

The mathematical methods standard level programme consists of the study of eight core topics and one option.

PART I: Core

 

105 hours

All topics in the core are compulsory. Candidates are required to study all the sub-topics in each of the six topics in this part of the syllabus as listed in the Syllabus Details.

1

Number and Algebra

20 hours

2

Functions and Equations

25 hours

3

Circular Functions and Trigonometry

25 hours

4

Vector Geometry

25 hours

5

Matrices and Transformations

20 hours

6

Statistics

10 hours

7

Probability

20 hours

8

Calculus

50 hours

PART II: Options

 

35 hours

Candidates are required to study all the sub-topics in one of the following options as listed in the Syllabus Details.

9

Statistics

35 hours

10

Sets, Relations and Groups

35 hours

11

Discrete Mathematics

35 hours

12

Analysis and Approximation

35 hours

13

Euclidean Geometry and Conic Sections

35 hours

PORTFOLIO

 

10 hours

Five assignments, based on different areas of the syllabus, representing the following three activities:

  • mathematical investigation

  • extended closed-problem solving

  • mathematical modeling

  • mathematical research

SOURCE: IB Mathematics - HL, September 1997
Page 61 Cite
Suggested Citation:"Appendix D: Topical Outline for AP Calculus BC." National Research Council. 2002. Learning and Understanding: Improving Advanced Study of Mathematics and Science in U.S. High Schools: Report of the Content Panel for Mathematics. Washington, DC: The National Academies Press. doi: 10.17226/10380.
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Box 2-4
SYLLABUS OUTLINE FURTHER MATHEMATICS – SL

The mathematical methods standard level programme consists of the study of six core topics and one option.

PART I: Core

 

105 hours

All topics are compulsory. Candidates are required to study all the sub-topics in each of the five topics in this part of the syllabus as listed in the Syllabus Details.

As these five topics are identical to the options in part II of the mathematics HL syllabus, it will be presumed that candidates will have studied one of these topics as part of that programme. Consequently, this portion of the further mathematics SL programme is regarded as having a total teaching time of 140 hours.

1

Statistics

35 hours

2

Sets, Relations and Groups

35 hours

3

Discrete Mathematics

35 hours

4

Analysis and Approximation

35 hours

5

Euclidean Geometry and Conic Sections

35 hours

PORTFOLIO

 

10 hours

Three assignments, based on different areas of the syllabus, representing at least two of the following four activities:

  • mathematical investigation

  • extended closed-problem solving

  • mathematical modeling

  • mathematical research

SOURCE: IB Mathematical Methods SL, September 1997
Page 62 Cite
Suggested Citation:"Appendix D: Topical Outline for AP Calculus BC." National Research Council. 2002. Learning and Understanding: Improving Advanced Study of Mathematics and Science in U.S. High Schools: Report of the Content Panel for Mathematics. Washington, DC: The National Academies Press. doi: 10.17226/10380.
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Suggested Citation:"Appendix D: Topical Outline for AP Calculus BC." National Research Council. 2002. Learning and Understanding: Improving Advanced Study of Mathematics and Science in U.S. High Schools: Report of the Content Panel for Mathematics. Washington, DC: The National Academies Press. doi: 10.17226/10380.
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Suggested Citation:"Appendix D: Topical Outline for AP Calculus BC." National Research Council. 2002. Learning and Understanding: Improving Advanced Study of Mathematics and Science in U.S. High Schools: Report of the Content Panel for Mathematics. Washington, DC: The National Academies Press. doi: 10.17226/10380.
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Page 60 Cite
Suggested Citation:"Appendix D: Topical Outline for AP Calculus BC." National Research Council. 2002. Learning and Understanding: Improving Advanced Study of Mathematics and Science in U.S. High Schools: Report of the Content Panel for Mathematics. Washington, DC: The National Academies Press. doi: 10.17226/10380.
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Suggested Citation:"Appendix D: Topical Outline for AP Calculus BC." National Research Council. 2002. Learning and Understanding: Improving Advanced Study of Mathematics and Science in U.S. High Schools: Report of the Content Panel for Mathematics. Washington, DC: The National Academies Press. doi: 10.17226/10380.
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Suggested Citation:"Appendix D: Topical Outline for AP Calculus BC." National Research Council. 2002. Learning and Understanding: Improving Advanced Study of Mathematics and Science in U.S. High Schools: Report of the Content Panel for Mathematics. Washington, DC: The National Academies Press. doi: 10.17226/10380.
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Page 63 Cite
Suggested Citation:"Appendix D: Topical Outline for AP Calculus BC." National Research Council. 2002. Learning and Understanding: Improving Advanced Study of Mathematics and Science in U.S. High Schools: Report of the Content Panel for Mathematics. Washington, DC: The National Academies Press. doi: 10.17226/10380.
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Suggested Citation:"Appendix D: Topical Outline for AP Calculus BC." National Research Council. 2002. Learning and Understanding: Improving Advanced Study of Mathematics and Science in U.S. High Schools: Report of the Content Panel for Mathematics. Washington, DC: The National Academies Press. doi: 10.17226/10380.
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