Curriculum

Algebra Branch Topics

Lessons, worked examples, and practice questions for MYP Algebra.

Standard & Extended

Algebraic Expressions

Simplifying, expanding products, and factorising quadratic and trinomial expressions using grouping, difference of squares, and perfect squares.

  • Expansion Rules
  • Factorisation
  • Difference of Squares
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Standard & Extended

Linear Equations & Inequalities

Solving single and multi-step linear equations, manipulating inequalities, and graphing linear functions on the Cartesian plane.

  • Linear Graphs
  • Inequalities
  • Gradient-Intercept
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Standard & Extended

Quadratic Functions

Solving quadratic equations using factorisation, completing the square, and the quadratic formula. Graphing parabolas and identifying key features.

  • Parabolas
  • Completing the Square
  • Discriminant
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Standard & Extended

Exponential Functions

Modeling and graphing exponential growth and decay curves. Solving real-world application problems involving compound change.

  • Exponential Growth
  • Asymptotes
  • Modeling Applications
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Standard & Extended

Systems of Equations

Solving simultaneous linear equations using substitution, elimination, and graphical intersection. Word problem applications.

  • Substitution Method
  • Elimination Method
  • Graph Intersection
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Standard & Extended

Functions & Transformations

Concept of function mapping, domain, range, inverse functions, composite functions, and vertical/horizontal translations or reflections.

  • Domain & Range
  • Composite & Inverse
  • Graph Shifts
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Extended

Polynomials

Polynomial long division, synthetic division, and applying the Remainder and Factor theorems to factorise higher-degree polynomials.

  • Long Division
  • Factor Theorem
  • Cubic Factoring
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Standard & Extended

Sequences & Series

Diving deeper into arithmetic and geometric growth models, recursive definitions, sigma notation, and applications of sum to infinity.

  • Recursive Form
  • Sigma Notation
  • Infinite Series
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IB MYP Framework

Inquiry Concepts in MYP Algebra

MYP Mathematics uses key and related concepts to promote deep conceptual understanding and transfer learning.

Key Concept: Relationships

Understanding how dependent and independent variables are connected, and how these relationships are represented graphically and algebraically.

Key Concept: Logic

Applying algebraic equivalence, inverse operations, and logical deductions to solve complex systems and higher-degree functions.

Real-World Context

Optimising resources, predicting population trajectories, assessing cost functions in engineering, and modeling infectious disease curves.

FAQs

Frequently Asked Questions

What is the focus of the MYP Algebra branch?
The Algebra branch focuses on transitioning from numerical operations to abstract variable notation, solving multi-step equations, understanding functional relationships, and modeling change.
Why is MYP Algebra critical for DP Mathematics?
Algebra is the absolute backbone of DP Math. In particular, function transformations, quadratics, and polynomial operations are heavily relied upon in both Calculus and Algebra units of DP SL/HL.
Which topics are Extended-only in MYP Algebra?
Extended-only topics include factorising cubic/higher-degree polynomials via the Remainder & Factor theorems, composite & inverse functions, and complex graph transformations.