2014 … · web viewchoose and apply a variety of integration and anti-differentiation techniques...
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Hebron Christian CollegeMathematicsCourse Outline 2014NCEA Level 3 – Year 13NZ Curriculum Level 8
Introduction
New Zealand Curriculum Achievement Objectives Choose and apply a variety of integration and anti-differentiation techniques to functions and
relations, using both analytical and numerical methods Form differential equations and interpret the solutions
Learning outcomesBy the end of the course, students will be able to:
Differentiate functions and use derivatives to solve problems. Manipulate complex numbers and present them graphically. Form and use polynomial and
other non-linear equations Find optimal solutions to practical problems, using linear programming methods Form and use systems of simultaneous equations to solve 3-dimensional problems Manipulate trigonometric expressions; form and use trigonometric equations
Topics to be studied
Please refer to Year Plan, shown below
Standards and creditsThis Year 13 Subject course contributes 21 credits towards your Level 3 National Certificate of Educational Achievement. The credits are spread over 5 achievement standards, 2 of which are assessed externally in the examination, and 3 which are internally assessed. NOTE: Students who aim to study Engineering at Auckland University are required to undertake Achievement Standard 91579 (Apply Integration methods in solving problems) through the Correspondence School
Standard Title Internal or external
Credits Literacy or numeracy
91578 (3.6)
Apply differentiation methods in solving problems
External 6
91577 (3.5)
Apply the algebra of complex numbers in solving problems
External 5
91574 (3.2)
Apply linear programming methods in solving problems
Internal 3
91587 (3.15)
Apply systems of simultaneous equations in solving problems
Internal 3
91575 (3.3)
Apply trigonometric methods in solving problems
Internal 4
For literacy and numeracy see: Staff share:\NCEA - Literacy and numeracy at Level 1 (for Level 1 NCEA) or Literacy at Level 2 and 3 (for UE)
Resubmissions and further assessment opportunities in mathematics with calculusStudents studying this subject will have one opportunity to be assessed against each of the internal assessments. Students will have resubmission opportunities according to NZQA rules. For further information about resubmissions, further assessment opportunities and the Hebron Christian College assessment policy, refer to the New Zealand Qualifications Framework pages in your handbook.
Course work, homework, textbooks and stationery
Homework:
Homework will be set regularly and will be a minimum requirement for personal success in this subject. Students are required to submit homework for checking at the end of each week.
“It is the glory of God to conceal a matter, but the glory of kings is to search out a matter.” Proverbs 25v2
Textbook and Workbook:
ESA Study Guide, Level 3, Calculus Level 3 Calculus, AME Workbook
The development of independent learning skills is vital. Students should:
Organize ideas and concepts into their own words/pictures/symbols/annotations to support their personal learning styles.
Explore resources such as textbooks, workbooks, websites, teacher supplied resources, practice assessments, the knowledge and discoveries of their peers, and everyday experiences to extend their learning. The NZQA website is a very important resource and should be used regularly for assessment preparation: http://www.nzqa.govt.nz/qualifications-standards/qualifications/ncea/subjects/mathematics/levels/
Stationery Requirements:
1 x Clearfile 2 x 1E8 Exercise & Notes books Calculator – a graphics calculator is required for lessons and the external assessments.
Approximate Year PlanClass work and assessments will generally fit into the plan below, although there will be some flexibility.
Week Term 1 Term 2 Term 3 Term 41 Equations with
unique solutionsRates of change Trigonometric
IdentitiesRevision
2 Geometric interpretation of solutions
Optimization Trigonometric Identities
Revision
3 Equations with no solutions
Linear Inequalities
Trigonometric Equations
Revision
4 Word problems Linear Inequalities Polynomials with real numbers
Study leave
5 CAMP EXAMS Complex numbers set and properties
NCEA EXAMS
6 Limits of derivatives
Feasible Regions Polynomials with complex roots
NCEA EXAMS
7 Derivatives of functions
Optimization Argand Diagram. Polar form
NCEA EXAMS
8 Derivatives of functions
Optimization EXAMS NCEA EXAMS
9 Applications of derivatives
Trigonometric Graphs
De Moivre’s Theorem. Solving equations
NCEA EXAMS
10 Applications of derivatives
(Term Break) Locus and the Argand Diagram
11 Rates of change (Term Break)(Term Break)
Record of gradesPractice external assessmentsStandard Class test Mid-year exam End of year examDifferentiation (3.6) Term 1/week 10 YesComplex Numbers (3.5)
Term 3/week 6 No Yes
Internal assessmentsStandard Due date GradeSystems of Equations(3.15)
Term 1/week 4
Linear programming(3.2)
Term 2/week 8
Trigonometric Methods(3.3)
Term 3/week 3