Course Overview
Mathematics Fundamentals is a year-long course designed to transition students from arithmetic fluency to formal algebraic reasoning. Using real-world scenarios—such as budgeting, sports statistics, and small-scale engineering projects—the course demonstrates how mathematical thinking underpins everyday decision-making.
Learning Objectives
Operate confidently with integers, fractions, decimals, and percentages in multi-step problems.
Translate verbal statements into algebraic expressions and solve single-variable linear equations.
Apply ratio, proportion, and scaling in contexts such as map reading and recipe adjustments.
Calculate area, surface area, and volume for common 2-D and 3-D shapes; connect these to packaging and construction.
Interpret and create graphs (line, bar, pie) and calculate measures of central tendency to make data-driven arguments.
Course Outline (36 weeks)
| Term | Topics | Representative Activities |
|---|---|---|
| Term 1 (Weeks 1–12) | Number Sense & Operations | “Fraction Café”—students design a menu priced in fractions and mixed numbers; peer groups place orders and calculate totals. |
| Term 2 (Weeks 13–24) | Introduction to Algebra | Island-style “Equation Treasure Hunt”: clues are linear equations whose solutions reveal map coordinates. |
| Term 3 (Weeks 25–36) | Geometry & Data Literacy | Build and analyse a cardboard “tiny house,” calculating material usage and presenting cost-benefit graphs. |
Assessment Breakdown
Quizzes (bi-weekly) – 20 %
Project work (3 projects) – 30 %
Mid-term exam – 20 %
Final cumulative exam – 25 %
Class participation & math journal – 5 %
Prerequisites
Successful completion of Grade 6 mathematics or equivalent diagnostic score.
Materials Needed
Scientific calculator (non-graphing)
30 cm ruler, protractor, compass
Quad-ruled notebook for journaling
Access to classroom Chromebooks or tablets (provided)