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IB Calculus 1 wt Curriculum Essentials Document 3/30/2012 BVSD Curriculum Essentials 1
IB/AP Calculus 1 wt
Curriculum EssentialsDocument
Boulder Valley School DistrictDepartment of Curriculum and Instruction
Introduction
3/30/2012 BVSD Curriculum Essentials 1
3/30/2012 BVSD Curriculum Essentials 2
21st Century Skills and Readiness Competenciesin CONTENT AREA
3/30/2012 BVSD Curriculum Essentials 3
Standards in CONTENT AREA
3/30/2012 BVSD Curriculum Essentials 4
Course Name/Grade Overview
Course DescriptionIB Calculus is a semester-long class taught in conjunction with IB Elementary Functions. The aim of this course is to prepare students for advanced mathematical studies in calculus. This course will introduce students to mathematical limits, derivatives, graph behavior and optimization. Students will engage problem solving exercises and mathematical modeling. This course is foundational for the IB and AP exam pathways, and may prepare students for the AP Calculus AB exam.
Effective Components of a BVSD GRADE LEVEL/CONTENT AREA Class
Assessments
Grade Level ExpectationsStandards 11th Grade
1. 1. 2. 3.4.
2. 1. 2. 3.
4.
3. 1. 2.
3.
4.
4. 1. 2. 3. 4.
3/30/2012 BVSD Curriculum Essentials 5
1. CONTENT STANDARD
3/30/2012 BVSD Curriculum Essentials 6
Content Area: CONTENT AREAStandard: 1. CONTENT STANDARDPrepared Graduates:
GRADE LEVEL EXPECTATIONConcepts and skills students master:
1. Evidence Outcomes 21st Century Skills and Readiness Competencies
Students can:a.
i. ii. iii. iv.
b. i. ii. iii. iv. v.
c. i. ii. iii. iv. v.
d. i. ii. iii.
e. i. ii. iii.
Inquiry Questions: 1. 2. 3. 4. 5. 6. 7. 8.
Relevance and Application:1. 2. 3. 4. 5. 6. 7.
Nature of Discipline:1. 2. 3. 4. 5. 6. 7. 8.
3/30/2012 BVSD Curriculum Essentials 7
iv. f.
i. ii. iii. iv.
g. i. ii. iii. iv.
h. i. ii. iii. iv.
i. i. ii. iii. iv.
3/30/2012 BVSD Curriculum Essentials 8
Content Area: CONTENT AREAStandard: 1. CONTENT STANDARDPrepared Graduates:
GRADE LEVEL EXPECTATIONConcepts and skills students master:
2. Evidence Outcomes 21st Century Skills and Readiness Competencies
Students can:a.
i. ii. iii. iv.
b. i. ii. iii. iv. v.
c. i. ii. iii. iv. v.
d. i. ii. iii.
e. i. ii. iii.
Inquiry Questions: 1. 2. 3. 4. 5. 6. 7. 8.
Relevance and Application:1. 2. 3. 4. 5. 6. 7.
Nature of Discipline:1. 2. 3. 4. 5. 6. 7. 8.
3/30/2012 BVSD Curriculum Essentials 9
iv. f.
i. ii. iii. iv.
g. i. ii. iii. iv.
h. i. ii. iii. iv.
i. i. ii. iii. iv.
3/30/2012 BVSD Curriculum Essentials 10
Content Area: CONTENT AREAStandard: 1. CONTENT STANDARDPrepared Graduates:
GRADE LEVEL EXPECTATIONConcepts and skills students master:
3. Evidence Outcomes 21st Century Skills and Readiness Competencies
Students can:a.
i. ii. iii. iv.
b. i. ii. iii. iv. v.
c. i. ii. iii. iv. v.
d. i. ii. iii.
e. i. ii. iii.
Inquiry Questions: 1. 2. 3. 4. 5. 6. 7. 8.
Relevance and Application:1. 2. 3. 4. 5. 6. 7.
Nature of Discipline:1. 2. 3. 4. 5. 6. 7. 8.
3/30/2012 BVSD Curriculum Essentials 11
iv. f.
i. ii. iii. iv.
g. i. ii. iii. iv.
h. i. ii. iii. iv.
i. i. ii. iii. iv.
3/30/2012 BVSD Curriculum Essentials 12
Content Area: CONTENT AREAStandard: 1. CONTENT STANDARDPrepared Graduates:
GRADE LEVEL EXPECTATIONConcepts and skills students master:
4. Evidence Outcomes 21st Century Skills and Readiness Competencies
Students can:a.
i. ii. iii. iv.
b. i. ii. iii. iv. v.
c. i. ii. iii. iv. v.
d. i. ii. iii.
e. i. ii. iii.
Inquiry Questions: 1. 2. 3. 4. 5. 6. 7. 8.
Relevance and Application:1. 2. 3. 4. 5. 6. 7.
Nature of Discipline:1. 2. 3. 4. 5. 6. 7. 8.
3/30/2012 BVSD Curriculum Essentials 13
iv. f.
i. ii. iii. iv.
g. i. ii. iii. iv.
h. i. ii. iii. iv.
i. i. ii. iii. iv.
3/30/2012 BVSD Curriculum Essentials 14
2. CONTENT STANDARD
3/30/2012 BVSD Curriculum Essentials 15
Content Area: CONTENT AREAStandard: 2. CONTENT STANDARDPrepared Graduates:
GRADE LEVEL EXPECTATIONConcepts and skills students master:
1. Evidence Outcomes 21st Century Skills and Readiness Competencies
Students can:a.
i. ii. iii. iv.
b. i. ii. iii. iv. v.
c. i. ii. iii. iv. v.
d. i. ii. iii.
e. i. ii. iii.
Inquiry Questions: 1. 2. 3. 4. 5. 6. 7. 8.
Relevance and Application:1. 2. 3. 4. 5. 6. 7.
Nature of Discipline:1. 2. 3. 4. 5. 6. 7. 8.
3/30/2012 BVSD Curriculum Essentials 16
iv. f.
i. ii. iii. iv.
g. i. ii. iii. iv.
h. i. ii. iii. iv.
i. i. ii. iii. iv.
3/30/2012 BVSD Curriculum Essentials 17
Content Area: CONTENT AREAStandard: 2. CONTENT STANDARDPrepared Graduates:
GRADE LEVEL EXPECTATIONConcepts and skills students master:
2. Evidence Outcomes 21st Century Skills and Readiness Competencies
Students can:a.
i. ii. iii. iv.
b. i. ii. iii. iv. v.
c. i. ii. iii. iv. v.
d. i. ii. iii.
e. i. ii. iii.
Inquiry Questions: 1. 2. 3. 4. 5. 6. 7. 8.
Relevance and Application:1. 2. 3. 4. 5. 6. 7.
Nature of Discipline:1. 2. 3. 4. 5. 6. 7. 8.
3/30/2012 BVSD Curriculum Essentials 18
iv. f.
i. ii. iii. iv.
g. i. ii. iii. iv.
h. i. ii. iii. iv.
i. i. ii. iii. iv.
3/30/2012 BVSD Curriculum Essentials 19
Content Area: CONTENT AREAStandard: 2. CONTENT STANDARDPrepared Graduates:
GRADE LEVEL EXPECTATIONConcepts and skills students master:
3. Evidence Outcomes 21st Century Skills and Readiness Competencies
Students can:a.
i. ii. iii. iv.
b. i. ii. iii. iv. v.
c. i. ii. iii. iv. v.
d. i. ii. iii.
e. i. ii. iii.
Inquiry Questions: 1. 2. 3. 4. 5. 6. 7. 8.
Relevance and Application:1. 2. 3. 4. 5. 6. 7.
Nature of Discipline:1. 2. 3. 4. 5. 6. 7. 8.
3/30/2012 BVSD Curriculum Essentials 20
iv. f.
i. ii. iii. iv.
g. i. ii. iii. iv.
h. i. ii. iii. iv.
i. i. ii. iii. iv.
3/30/2012 BVSD Curriculum Essentials 21
Content Area: CONTENT AREAStandard: 2. CONTENT STANDARDPrepared Graduates:
GRADE LEVEL EXPECTATIONConcepts and skills students master:
4. Evidence Outcomes 21st Century Skills and Readiness Competencies
Students can:a.
i. ii. iii. iv.
b. i. ii. iii. iv. v.
c. i. ii. iii. iv. v.
d. i. ii. iii.
e. i. ii. iii.
Inquiry Questions: 1. 2. 3. 4. 5. 6. 7. 8.
Relevance and Application:1. 2. 3. 4. 5. 6. 7.
Nature of Discipline:1. 2. 3. 4. 5. 6. 7. 8.
3/30/2012 BVSD Curriculum Essentials 22
iv. f.
i. ii. iii. iv.
g. i. ii. iii. iv.
h. i. ii. iii. iv.
i. i. ii. iii. iv.
3/30/2012 BVSD Curriculum Essentials 23
3. CONTENT STANDARD
3/30/2012 BVSD Curriculum Essentials 24
Content Area: CONTENT AREAStandard: 3. CONTENT STANDARDPrepared Graduates:
GRADE LEVEL EXPECTATIONConcepts and skills students master:
1. Evidence Outcomes 21st Century Skills and Readiness Competencies
Students can:a.
i. ii. iii. iv.
b. i. ii. iii. iv. v.
c. i. ii. iii. iv. v.
d. i. ii. iii.
e. i. ii. iii.
Inquiry Questions: 1. 2. 3. 4. 5. 6. 7. 8.
Relevance and Application:1. 2. 3. 4. 5. 6. 7.
Nature of Discipline:1. 2. 3. 4. 5. 6. 7. 8.
3/30/2012 BVSD Curriculum Essentials 25
iv. f.
i. ii. iii. iv.
g. i. ii. iii. iv.
h. i. ii. iii. iv.
i. i. ii. iii. iv.
3/30/2012 BVSD Curriculum Essentials 26
Content Area: CONTENT AREAStandard: 3. CONTENT STANDARDPrepared Graduates:
GRADE LEVEL EXPECTATIONConcepts and skills students master:
2. Evidence Outcomes 21st Century Skills and Readiness Competencies
Students can:a.
i. ii. iii. iv.
b. i. ii. iii. iv. v.
c. i. ii. iii. iv. v.
d. i. ii. iii.
e. i. ii. iii.
Inquiry Questions: 1. 2. 3. 4. 5. 6. 7. 8.
Relevance and Application:1. 2. 3. 4. 5. 6. 7.
Nature of Discipline:1. 2. 3. 4. 5. 6. 7. 8.
3/30/2012 BVSD Curriculum Essentials 27
iv. f.
i. ii. iii. iv.
g. i. ii. iii. iv.
h. i. ii. iii. iv.
i. i. ii. iii. iv.
3/30/2012 BVSD Curriculum Essentials 28
Content Area: CONTENT AREAStandard: 3. CONTENT STANDARDPrepared Graduates:
GRADE LEVEL EXPECTATIONConcepts and skills students master:
3. Evidence Outcomes 21st Century Skills and Readiness Competencies
Students can:a.
i. ii. iii. iv.
b. i. ii. iii. iv. v.
c. i. ii. iii. iv. v.
d. i. ii. iii.
e. i. ii. iii.
Inquiry Questions: 1. 2. 3. 4. 5. 6. 7. 8.
Relevance and Application:1. 2. 3. 4. 5. 6. 7.
Nature of Discipline:1. 2. 3. 4. 5. 6. 7. 8.
3/30/2012 BVSD Curriculum Essentials 29
iv. f.
i. ii. iii. iv.
g. i. ii. iii. iv.
h. i. ii. iii. iv.
i. i. ii. iii. iv.
3/30/2012 BVSD Curriculum Essentials 30
Content Area: CONTENT AREAStandard: 3. CONTENT STANDARDPrepared Graduates:
GRADE LEVEL EXPECTATIONConcepts and skills students master:
4. Evidence Outcomes 21st Century Skills and Readiness Competencies
Students can:a.
i. ii. iii. iv.
b. i. ii. iii. iv. v.
c. i. ii. iii. iv. v.
d. i. ii. iii.
e. i. ii. iii.
Inquiry Questions: 1. 2. 3. 4. 5. 6. 7. 8.
Relevance and Application:1. 2. 3. 4. 5. 6. 7.
Nature of Discipline:1. 2. 3. 4. 5. 6. 7. 8.
3/30/2012 BVSD Curriculum Essentials 31
iv. f.
i. ii. iii. iv.
g. i. ii. iii. iv.
h. i. ii. iii. iv.
i. i. ii. iii. iv.
3/30/2012 BVSD Curriculum Essentials 32
4. CONTENT STANDARD
3/30/2012 BVSD Curriculum Essentials 33
Content Area: CONTENT AREAStandard: 4. CONTENT STANDARDPrepared Graduates:
GRADE LEVEL EXPECTATIONConcepts and skills students master:
1. Evidence Outcomes 21st Century Skills and Readiness Competencies
Students can:a.
i. ii. iii. iv.
b. i. ii. iii. iv. v.
c. i. ii. iii. iv. v.
d. i. ii. iii.
e. i. ii. iii.
Inquiry Questions: 1. 2. 3. 4. 5. 6. 7. 8.
Relevance and Application:1. 2. 3. 4. 5. 6. 7.
Nature of Discipline:1. 2. 3. 4. 5. 6. 7. 8.
3/30/2012 BVSD Curriculum Essentials 34
iv. f.
i. ii. iii. iv.
g. i. ii. iii. iv.
h. i. ii. iii. iv.
i. i. ii. iii. iv.
3/30/2012 BVSD Curriculum Essentials 35
Content Area: CONTENT AREAStandard: 4. CONTENT STANDARDPrepared Graduates:
GRADE LEVEL EXPECTATIONConcepts and skills students master:
2. Evidence Outcomes 21st Century Skills and Readiness Competencies
Students can:a.
i. ii. iii. iv.
b. i. ii. iii. iv. v.
c. i. ii. iii. iv. v.
d. i. ii. iii.
e. i. ii. iii.
Inquiry Questions: 1. 2. 3. 4. 5. 6. 7. 8.
Relevance and Application:1. 2. 3. 4. 5. 6. 7.
Nature of Discipline:1. 2. 3. 4. 5. 6. 7. 8.
3/30/2012 BVSD Curriculum Essentials 36
iv. f.
i. ii. iii. iv.
g. i. ii. iii. iv.
h. i. ii. iii. iv.
i. i. ii. iii. iv.
3/30/2012 BVSD Curriculum Essentials 37
Content Area: CONTENT AREAStandard: 4. CONTENT STANDARDPrepared Graduates:
GRADE LEVEL EXPECTATIONConcepts and skills students master:
3. Evidence Outcomes 21st Century Skills and Readiness Competencies
Students can:a.
i. ii. iii. iv.
b. i. ii. iii. iv. v.
c. i. ii. iii. iv. v.
d. i. ii. iii.
e. i. ii. iii.
Inquiry Questions: 1. 2. 3. 4. 5. 6. 7. 8.
Relevance and Application:1. 2. 3. 4. 5. 6. 7.
Nature of Discipline:1. 2. 3. 4. 5. 6. 7. 8.
3/30/2012 BVSD Curriculum Essentials 38
iv. f.
i. ii. iii. iv.
g. i. ii. iii. iv.
h. i. ii. iii. iv.
i. i. ii. iii. iv.
3/30/2012 BVSD Curriculum Essentials 39
Content Area: CONTENT AREAStandard: 4. CONTENT STANDARDPrepared Graduates:
GRADE LEVEL EXPECTATIONConcepts and skills students master:
4. Evidence Outcomes 21st Century Skills and Readiness Competencies
Students can:a.
i. ii. iii. iv.
b. i. ii. iii. iv. v.
c. i. ii. iii. iv. v.
d. i. ii. iii.
e. i. ii. iii.
Inquiry Questions: 1. 2. 3. 4. 5. 6. 7. 8.
Relevance and Application:1. 2. 3. 4. 5. 6. 7.
Nature of Discipline:1. 2. 3. 4. 5. 6. 7. 8.
3/30/2012 BVSD Curriculum Essentials 40
iv. f.
i. ii. iii. iv.
g. i. ii. iii. iv.
h. i. ii. iii. iv.
i. i. ii. iii. iv.
3/30/2012 BVSD Curriculum Essentials 41
Grade Level/Course Name Academic Vocabulary Glossary
WORD DEFINITION
3/30/2012 BVSD Curriculum Essentials 42
3/30/2012 BVSD Curriculum Essentials 43
3/30/2012 BVSD Curriculum Essentials 44
3/30/2012 BVSD Curriculum Essentials 45
Prepared Graduate Competencies
3/30/2012 BVSD Curriculum Essentials 46
3/30/2012 BVSD Curriculum Essentials 47
Properties of the CED
IB/AP Calculus 1 wt
IB/AP Calculus 1 wt
I88
IB Calculus is a semester-long class taught in conjunction with IB Elementary Functions. The aim of this course is to prepare students for advanced mathematical studies in calculus. This course will introduce students to mathematical limits, derivatives, graph behavior and optimization. Students will engage problem solving exercises and mathematical modeling. This course is foundational for the IB and AP exam pathways, and may prepare students for the AP Calculus AB exam.
1 Semester
[Course Fees]
5
[Elective Required]
Active
Mathematics91eb300c-a31e-4192-8f02-f63e2aaf9567
[Effective Date]
[Expiration Date]
[NCAA]
[Hear]
[Subject Area]
Blank - Regular
[StateID]
Mathematics
3/30/2012 BVSD Curriculum Essentials 48
