Algebra & Geometry Foundations

By the end

What you'll build

• Solve linear equations and inequalities in one variable, including word problems, and represent solutions on the number line
• Apply exponent laws and the standard algebraic identities to expand, factorise and compute fast (51², 103 × 97) without long multiplication
• Use angle sums, Pythagoras, similarity and the mensuration formulas to find lengths, areas, surface areas and volumes of standard shapes and solids
• Read slope, intercepts, roots and vertex from live graphs of lines and parabolas — and fit a line to a target using y = mx + b
• Summarise data with mean, median, mode and range, read charts critically, and compute probabilities using systematic counting

Curriculum

What's inside

6 modules · 28 lessons

1. 01

   Linear Equations & Inequalities

   5 lessons
   • Start Here: Course Map & How This Works
   • Linear Equations in One Variable
   • Practice: Equation-Solving Derivation Chainsfill blank
   • Inequalities and the Number Line
   • Module 1 Checkpoint: Equations & Inequalitiesquiz
2. 02

   Polynomials & Exponents

   4 lessons
   • Exponent Laws and Meeting Polynomials
   • Flashcards: Identities & Exponent Lawsflashcard sr
   • Practice: Factorisation & Identity Chainsfill blank
   • Module 2 Checkpoint: Polynomials & Exponentsquiz
3. 03

   Triangles & Mensuration

   4 lessons
   • Triangles: Angles, Pythagoras and Similarity
   • Mensuration: Area, Surface Area and Volume
   • Practice: Mensuration Derivation Chainsfill blank
   • Module 3 Checkpoint: Triangles & Mensurationquiz
4. 04

   Coordinate Basics & Graphs

   5 lessons
   • The Coordinate Plane and Straight Lines
   • Graph Lab: Read a Straight Linegraph plot
   • Graph Lab: Read a Parabolagraph plot
   • Graph Lab: Fit the Line Yourselfgraph plot
   • Module 4 Checkpoint: Coordinates & Graphsquiz
5. 05

   Data Handling

   4 lessons
   • Organising Data: Tables, Bar Charts and Histograms
   • Mean, Median, Mode and Range
   • Practice: Statistics Derivation Chainsfill blank
   • Module 5 Checkpoint: Data Handlingquiz
6. 06

   Intro Probability & Counting

   6 lessons
   • Probability Basics: Putting a Number on Chance
   • Evidence Check: Probabilityquiz
   • Counting Basics: The Multiplication Principle
   • Evidence Check: Countingquiz
   • Capstone: Puzzle Day
   • + 1 more lesson

The shape of it

How this course works