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The NCEA system has three levels – one, two, and three – corresponding to their respective levels on the National Qualifications Framework. [3] Each level is generally studied in each of the three final years of secondary schooling, [1] with NCEA Level 1 in Year 11, NCEA Level 2 in Year 12, and NCEA Level 3 in Year 13, although it is not uncommon for students to study across multiple levels.
For comparison, the Mathematics syllabus of HKCEE was equivalent to New Zealand's National Certificate of Educational Achievement Level 2 Mathematics at Form 6 (Year 12) level (excluding Calculus) rather than NCEA Level 1 or its predecessor the School Certificate examination, sat by the country's Form 5 (Year 11) students.
Secondary education aims to give students a good level of common knowledge, and to prepare them for higher education, for a vocation, for life and for business in line with their interests, skills and abilities. In the academic year 2001–2002, 2.3 million students were enrolled and 134,800 teachers were employed in 6,000 education institutions.
In 2016, mistakes were made in the 2016 maths exam at every level. [26] In 2017, many students and teachers were left perplexed by NCEA Level 1 MCAT externals, stating that they were "too difficult" and "not in the correct standard". NZQA stated that they had full confidence in their papers, [27] but the minister has asked for a review. [28]
During Year 12, most students complete Level 2 of the National Certificate of Educational Achievement (NCEA), the country's main national qualification for secondary school students. Students in Year 12 typically study English (or Te Reo Māori) and a minimum of five elective subjects with mathematics highly recommended.
A typical sequence of secondary-school (grades 6 to 12) courses in mathematics reads: Pre-Algebra (7th or 8th grade), Algebra I, Geometry, Algebra II, Pre-calculus, and Calculus or Statistics. However, some students enroll in integrated programs [ 3 ] while many complete high school without passing Calculus or Statistics.
2 Differential calculus. 3 Integral calculus. 4 Special functions and numbers. 5 Absolute numerical. 6 Lists and tables. ... Limit (mathematics) Limit of a function ...
Calculus is a branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. This subject constitutes a major part of contemporary mathematics education . Calculus has widespread applications in science , economics , and engineering and can solve many problems for which algebra alone is insufficient.
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