Foundations of Mathematics 11 in BC
Foundations of Mathematics 11 is designed for BC Grade 11 students who want to build strong mathematical reasoning and apply math to real-world situations. The course spans topics from logical thinking and geometric proofs to financial planning and data analysis. StudyPug covers every unit with clear video lessons and practice problems so students can keep up with class and prepare for Foundations of Mathematics 12.
Logical Reasoning and Proofs
Students explore inductive and deductive reasoning, write and analyze proofs, and use counter-examples to test conjectures. These skills strengthen critical thinking and are applied throughout the rest of the course. StudyPug's lessons break down each reasoning strategy with worked examples so students can follow every step.
Geometry
The geometry unit covers properties of parallel lines, triangles, and other polygons, including angle constructions and formal proofs. Students learn to identify geometric relationships and justify their conclusions. Practice problems help reinforce each property with visual examples aligned to the BC curriculum.
Quadratic Functions and Linear Inequalities
Students use technology alongside algebra to explore linear inequalities, graph quadratic functions, and solve systems of equations. StudyPug provides step-by-step video lessons for each concept, making it easier to understand how these tools connect to real-world problems.
Linear Programming and Optimization
This unit introduces the feasible region and objective functions, teaching students how to maximize profit or minimize cost. Optimization concepts are applied to everyday conflict-resolution scenarios. StudyPug walks through each optimization problem clearly so students can see exactly how the math is applied.
Statistics and Data Analysis
Students learn to pose questions, collect data, and interpret results using measures of central tendency and standard deviation. The unit also covers data-gathering methods, variation, and decision-making based on data. StudyPug's statistics lessons align to the BC Grade 11 curriculum and include plenty of practice problems.
Similarity and Scale
The similarity units cover enlargements and reductions of 2D shapes and 3D objects, comparing properties of similar figures and exploring how measurements change during scaling. StudyPug provides visual lessons that make it easy to understand the relationships between similar objects.
Financial Mathematics
Students study compound interest, investments and loans with regular payments, and the mathematics behind buy versus lease decisions. These practical skills prepare BC Grade 11 students for financial decisions in everyday life. StudyPug's financial math lessons use clear examples to show how the formulas work in real scenarios.