The Orbis Academy – Grade 6 to 10 Math Learning Journey Map
Theme: “From Equations to Excellence — Building Logical, Confident Thinkers”
Stage 1
Algebra Foundations (Classes 1–20)
Goal: Build algebraic reasoning and equation-solving skills
Milestones:
- Understand variables, expressions & equations
- Simplify and operate on polynomials
- Solve and model linear equations
- Interpret and graph linear relations
- Explore slope, intercepts & algebraic patterns
Skill Outcome: Logical thinking, visualization of equations, and fluency with algebraic manipulation.
Stage 2
Geometry & Measurement Mastery (Classes 21–38)
Goal: Strengthen spatial reasoning and geometric visualization Milestones:
- Analyze properties of polygons and circles
- Understand congruence, similarity & Pythagoras theorem
- Compute surface area and volume of 3D solids
- Perform transformations (reflection, rotation, dilation)
- Apply geometry to real-world design projects
Skill Outcome: Precision, visualization, and spatial awareness with strong conceptual geometry grounding.
Stage 3
Data, Statistics & Probability (Classes 39–50)
Goal: Learn to make sense of numbers in real life
📘 Milestones:
- Collect and organize data
- Construct graphs (bar, line, scatter)
- Calculate mean, median, mode & range
- Understand and calculate basic probability
- Apply statistics to real-life surveys and projects
🧠 Skill Outcome: Analytical thinking, data interpretation, and connecting math to everyday decisions.
Stage 4
Relations & Functions (Classes 51–60)
Goal: Explore patterns and mathematical relationships
📘 Milestones:
- Understand mappings and ordered pairs
- Identify and represent functions
- Explore linear vs non-linear patterns
- Model real-life situations using equations and graphs
🧠 Skill Outcome: Functional reasoning, modeling ability, and abstraction.
Stage 5
Exponents, Powers & Roots (Classes 61–68)
Goal: Build number power & mental math confidence
📘 Milestones:
- Master exponent laws and simplifications
- Work with squares, cubes, and roots
- Apply powers in geometry & algebra contexts
- Use Vedic Math shortcuts for quick mental calculations
🧠 Skill Outcome: Mental agility and computational fluency.
Stage 6
Factorisation & Identities (Classes 69–74)
Goal: Deepen algebraic manipulation & pattern recognition
📘 Milestones:
- Factorise expressions using common factors and grouping
- Apply standard algebraic identities
- Simplify complex expressions & trinomials
- Solve practical problems using factorisation
🧠 Skill Outcome: Pattern recognition, structural algebraic understanding.
Stage 7
Percentages, Ratios & Applications (Classes 75–80)
Goal: Connect math to finance, daily life, and logical reasoning
📘 Milestones:
- Convert between ratios, fractions, and percentages
- Calculate profit, loss, and simple interest
- Solve real-world budgeting and shopping problems
- Present a “Math in Life” project
🧠 Skill Outcome: Real-life problem-solving, numeracy confidence, and financial awareness.