Maths Standard 1 flashcards

What this deck covers

• Year 12: Algebra (5 cards, 2 dot points)

  • Graphs of practical situations, linear vs non-linear and exponential growth: HSC Maths Standard 1 Year 12 (2)
  • Simultaneous linear equations and break-even analysis: HSC Maths Standard 1 Year 12 (3)
• Year 12: Financial Mathematics (9 cards, 2 dot points)

  • Depreciation, credit cards and reducing balance loans: HSC Maths Standard 1 Year 12 (5)
  • Investment: simple and compound interest, future and present value, inflation and shares: HSC Maths Standard 1 Year 12 (4)
• Year 12: Measurement (13 cards, 3 dot points)

  • Rates, unit conversions, fuel consumption, energy and heart rate: HSC Maths Standard 1 Year 12 (4)
  • Right-angled triangles, trigonometry, elevation, depression and bearings: HSC Maths Standard 1 Year 12 (5)
  • Scale drawings, building plans, similarity and the trapezoidal rule: HSC Maths Standard 1 Year 12 (4)
• Year 12: Networks (5 cards, 2 dot points)

  • Network terminology and minimum spanning trees (Prim's and Kruskal's): HSC Maths Standard 1 Year 12 (3)
  • Shortest paths in weighted networks: HSC Maths Standard 1 Year 12 (2)
• Year 12: Statistical Analysis (6 cards, 2 dot points)

  • Bivariate data, scatterplots and lines of fit: HSC Maths Standard 1 Year 12 (4)
  • The statistical investigation process and questionnaire design: HSC Maths Standard 1 Year 12 (2)

Sample cards from this deck

1. Definition · Simultaneous linear equations and break-even analysis: HSC Maths Standard 1 Year 12

   Define Profit zone

   $I > C$ (to the right of the break-even point).

2. Definition · Depreciation, credit cards and reducing balance loans: HSC Maths Standard 1 Year 12

   Define Interest

   Interest is often calculated daily (annual rate ÷ 365) on the balance owing, from the purchase date if the balance is not paid in full.

3. Definition · Right-angled triangles, trigonometry, elevation, depression and bearings: HSC Maths Standard 1 Year 12

   Define True bearings

   True bearings are measured clockwise from north, written with three digits: 045°T, 230°T.

4. Definition · Network terminology and minimum spanning trees (Prim's and Kruskal's): HSC Maths Standard 1 Year 12

   Define Kruskal's algorithm

   1. List edges from smallest to largest weight.

5. Definition · Bivariate data, scatterplots and lines of fit: HSC Maths Standard 1 Year 12

   Define Interpolation

   Interpolation (within the data) is usually reasonable.

6. Fill the gap · Graphs of practical situations, linear vs non-linear and exponential growth: HSC Maths Standard 1 Year 12

   NESA's topic guide says Standard 1 students are ___ to find the algebraic equation of an exponential function from its graph.

   NESA's topic guide says Standard 1 students are not expected to find the algebraic equation of an exponential function from its graph.

7. Key fact · Investment: simple and compound interest, future and present value, inflation and shares: HSC Maths Standard 1 Year 12

   Tell me about Present value

   Tables of compounded values of $1 can also be used: multiply the principal by the table value for the rate and number of periods.

8. Fill the gap · Scale drawings, building plans, similarity and the trapezoidal rule: HSC Maths Standard 1 Year 12

   Building plans use ___ as the standard unit, so convert to metres (divide by 1000) for areas in m².

   Building plans use millimetres as the standard unit, so convert to metres (divide by 1000) for areas in m².

9. Key fact · Shortest paths in weighted networks: HSC Maths Standard 1 Year 12

   Tell me about A systematic labelling method

   The shortest path between two vertices is the route with the smallest total weight (distance, time or cost), not necessarily the fewest edges.

10. Definition · The statistical investigation process and questionnaire design: HSC Maths Standard 1 Year 12

    Define Complete, non-overlapping answer options

    Complete, non-overlapping answer options (for example 0 to 2, 3 to 5, 6 or more).