Mathematics 3

A sound understanding of NCEA Level 2 equations, trigonometry, graphs, and/or probability with evidence from NCEA Level 2 Mathematics results or equivalent is highly recommended.

This course includes:

Systems of Equations: Equations in three variables (x, y and z).  You will need to write equations from words, solve them, describe them graphically and explore what happens in different situations.

Linear Programming: Using two variables to write and graph inequations to find a maximum profit or minimum cost.  Exploring what will happen when the conditions change. DESMOS (a graphing tool) will be used for this standard.

Time Series: Carry out investigations of phenomena, using the statistical enquiry cycle:  using existing data sets finding, using, and assessing appropriate models (including additive models for time-series data), seeking explanations, and making predictions using informed contextual knowledge communicating findings and evaluating all stages of the cycle.

Probability Concepts: Developing an understanding of probability and risk at Level 3 of this standard.  Probability trees, Venn Diagrams, Two-way Tables and whether events are independent or not are some of the topics covered. 

Conic Sections: Learning about the properties and equations of different conic sections: circles, ellipses, parabolas, and hyperbolas. Explore their standard forms, focus-directrix properties, and how to solve related problems, including applications in various contexts.

Bivariate Data: students will learn to analyze relationships between two variables. They'll explore concepts such as correlation, regression, and the use of scatter plots to interpret data. Additionally, students will learn to make predictions, assess the strength and direction of relationships, and understand the limitations of their analyses.

• Credits Available: 21

• Recommended Credits: At least 17, including externals, to achieve course endorsement.

Key Notes:

• For late or missed assessments, refer to the NCEA policy.

• Struggling students may be placed in an individualised program, withdrawn from externals, and given a slower-paced curriculum.

• Electronic Device: Access to a device with spreadsheet capability is essential from Term 1 to Term 3.

• Graphics Calculator: Highly recommended for success in this course.

• No Further Assessment Opportunities (FAO) will be offered for any standard.

This course is designed to support students in achieving their goals through structured guidance and appropriate resources.