Newfoundland Grade 11 Academic Mathematics 2201 Overview
Academic Mathematics 2201 is the Grade 11 math course for students in Newfoundland and Labrador following the academic pathway. The course builds on Grade 10 foundations and introduces new concepts across reasoning, algebra, geometry, trigonometry, and statistics.
Reasoning and Logic
Students begin by exploring inductive and deductive reasoning. They learn to make and prove conjectures, identify errors in proofs, and compare different types of logical arguments. These skills support mathematical thinking across all other units in the course.
Radicals and Radical Equations
This unit covers simplifying radical expressions, performing operations with radicals, and rationalizing denominators. Students then solve radical equations, determine restrictions on variables, verify solutions, and explain why extraneous roots can appear.
Geometry and Angles
Students prove properties of angles formed by parallel lines and transversals, establish triangle congruence, and construct parallel lines. They solve problems involving angle measures and apply geometric reasoning to multi-step problems.
Trigonometry
The trigonometry unit introduces the sine law and cosine law. Students apply both laws to solve problems involving single and multiple triangles, including real-world applications involving distances and angles.
Quadratic Functions
Students analyze the characteristics of quadratic functions, including vertex, axis of symmetry, domain, and range. They factor quadratic expressions and solve quadratic equations using multiple methods.
Statistics and Normal Distribution
The statistics unit covers standard deviation, normal distribution, and z-scores. Students learn to interpret data, calculate confidence intervals, and understand margin of error. The course ends with a research project where students collect, assess, and present data using statistical methods.
Scale Diagrams and Scale Factors
Students use scale diagrams to represent 2D shapes and 3D objects, determine unknown dimensions, and calculate scale factors. They also explore how changes to scale factors affect area and volume.