LC Higher Maths case studies
LC Higher Maths · Put your knowledge to work in context.
Leaving Certificate Mathematics at Higher Level is the most demanding mathematics course in the Irish senior cycle. It is taken by students aiming for university courses and careers that depend on strong quantitative skills - engineering, the physical and health sciences, economics, computing and, increasingly, business and social science degrees. It is also the mathematics qualification most commonly used to satisfy matriculation and course-specific entry requirements, so a good grade carries weight well beyond the subject itself. The course is built around five strands - statistics and probability, geometry and trigonometry, number, algebra, and functions - unified by a problem-solving approach. The LC Higher Maths case studies are 5 cases and about 2,576 words.
1Minimising the Cost of a Cylindrical Container
An engineering student is designing a cylindrical tin for a local food producer. The tin must hold exactly 600 cm³.
524 words, about 3 min2Screening for a Fault in a Production Line
An electronics factory uses two machines, A and B, to produce identical components. Machine A makes 60% of the daily output and machine B makes the remaining 40%.
499 words, about 2 min3Modelling a Fundraising Projectile Launch
A transition-year class is launching a model rocket for a charity event. The rocket is launched from a small platform 2 m above the ground.
544 words, about 3 min4Surveying a Triangular Garden Plot
A landscape architect is surveying a triangular garden plot ABC for a client. She measures side AB as 24.0 m and side AC as 18.0 m, with the included angle ∠BAC equal to 52°.
440 words, about 2 min5Interpreting a Correlation Between Study Time and Test Scores
A secondary school mathematics teacher is analysing the relationship between the number of hours eight students spent studying for a test and their scores. The data are: hours (x): 2, 3, 4, 5, 6, 7, 8, 9; scores (y): 50, 55, 62, 66, 72, 79, 84, 90.
569 words, about 3 min