§-Maths Standard 1 syllabus
NSW · NESA← Maths Standard 1
Maths Standard 1 syllabus, dot point by dot point
Every dot point in the NSW Maths Standard 1 syllabus, in syllabus order, with a focused answer for each. Open any dot point for the answer, exam-style questions and links to related points.
Year 12: Algebra
Module overview →MS-A3 Types of Relationships: how do graphs model and describe practical situations?
A3.2 Graphs of practical situations: distinguish between linear and non-linear relationships, recognise exponential (and other non-linear) relationships from the shape of their graphs, and construct and interpret graphs of practical situations, including distance-time graphs and the limitations of models
MS-A3 Types of Relationships: how can pairs of linear equations model and solve practical problems?
A3.1 Simultaneous linear equations: develop a pair of linear equations to model a practical situation, solve it graphically, and interpret the point of intersection, including break-even analysis (break-even point, profit and loss zones, and the meaning of the y-intercept)
Year 12: Financial Mathematics
Module overview →MS-F3 Depreciation and Loans: how do assets lose value, and how do credit cards and reducing balance loans work?
Calculate the depreciation of an asset using the straight-line and declining-balance methods, calculate interest, closing balance and minimum payment on a credit card statement, and investigate reducing balance loans using tables, spreadsheets and online calculators
MS-F2 Investment: how can the value of different investments, including shares, be calculated and compared over time?
Calculate and compare the value of different types of investments over time, including simple interest, compound interest (future value and present value, with interest rates other than per annum), the effect of inflation, and investing in shares (dividends and dividend yield)
Year 12: Measurement
Module overview →MS-M4 Rates: how are rates used to solve problems in practical contexts?
Use rates to solve practical problems, including converting between units for rates (such as km/h to m/s), comparing rates, fuel consumption, energy use and costs, and heart rate and target heart rate
MS-M5 Scale Drawings: how are scale drawings and similarity used to solve practical measurement problems?
Interpret and use scale drawings, including building plans and elevation views, use similarity and scale factors to find lengths, calculate areas and volumes from plans, and use the trapezoidal rule to estimate the area of irregular shapes
MS-M3 Right-angled Triangles: how are Pythagoras' theorem and trigonometry used to solve practical problems?
Solve practical problems involving right-angled triangles using Pythagoras' theorem and the trigonometric ratios, including angles of elevation and depression and problems involving true and compass bearings
Year 12: Networks
Module overview →MS-N1 Networks and Paths: how are networks described, and how is the minimum spanning tree found?
N1.1 Networks: identify and use network terminology (vertex, edge, degree, weighted edge, path, connected, tree), construct network diagrams from real-life situations, and find a minimum spanning tree using Prim's or Kruskal's algorithm
MS-N1 Networks and Paths: how is the shortest path between two vertices found?
N1.2 Shortest paths: find the shortest path between two vertices in a weighted network by inspection or by a systematic method, recognising that there may be more than one shortest path, and solve practical problems involving shortest paths
Year 12: Statistical Analysis
Module overview →MS-S3 Further Statistical Analysis: how is a statistical investigation planned and carried out using a survey?
S3.1 The statistical investigation process for a survey: identify the steps of a statistical investigation, design an effective questionnaire free from bias, and consider sampling, non-response and possible misinterpretation of questions and statistics
MS-S3 Further Statistical Analysis: how can data from two quantitative variables be explored and described?
S3.2 Exploring and describing data arising from two quantitative variables: construct a scatterplot, identify the independent and dependent variables, describe the association (form, direction, strength), fit a line by eye and use it to make and assess predictions