EXCEL MATH LAB

Patterns, Puzzles & Mathematical Thinking Focus: Inductive reasoning, logic, visual patterns, number sequences.

Core Topics:

• Fibonacci, Pascal’s Triangle
• Arithmetic & geometric sequences
• Logic puzzles & grid challenges
• Visual problem-solving (pattern blocks, tangrams)

Project: “Invent a Pattern” – Create your own visual or numerical pattern and explain the rule behind it.

Challenge: Solve daily brain teasers from Art of Problem Solving (AoPS) or Math Kangaroo-style questions.

Math in Nature, Art & ArchitectureFocus: Geometry, measurement, symmetry, ratios in the world.

Core Topics:

• Golden ratio, fractals, tessellations
• Symmetry and transformation
• Perimeter, area, surface area
• Polyhedra and net construction

Project: “Design a Math-Based Building” – Use geometry to create a structure blueprint or 3D model.

Challenge: Fractal drawing or nature photography challenge (capture math in your surroundings).

Real-World Math & Problem Solving.

Focus: Financial literacy, statistics, optimization, estimation.

Core Topics:

• Budgeting, profit/loss, interest
• Probability & statistics (mean, median, range, graphs)
• Real-life problem modeling (e.g., optimize delivery routes, plan an event)

Project: “Start a Mini-Business” – Design and model a profit-based project (e.g., lemonade stand, e-commerce store).

Challenge: Create and interpret your own dataset from a survey or experiment.

Advanced Concepts & Mathematical Creativity Focus: abstract concepts, number theory, algebraic reasoning.

Core Topics:

• Primes, factors, divisibility rules
• Modular arithmetic
• Introduction to algebraic patterns & variables
• Logic grids & truth tables

Project: “Crack the Code” – Build a math-based code or puzzle others must solve.

Challenge:

• Compete in a Math Tournament (timed problem sets with increasing difficulty)
• Daily Routine (Mon–Fri)

- 10 min Time Activity Type Example 10 min Warm-Up Riddle, number trick, logic puzzle

- 20 min Core Concept Lesson Self-paced video + notes + problem set

- 20 min Application Real-life task, challenge, or journal entry
Bonus Extension Task Optional Olympiad-style problem