SchoolWise
Fundamentals I
Fundamentals I Course Overview
Fundamentals I is an intensive program designed for students looking to build a strong foundation in core mathematical skills. Whether preparing for senior mathematics, catching up on missed concepts, or simply wanting to approach maths with greater confidence, this course provides the essential toolkit that all higher-level mathematics depends upon.
Mathematics is cumulative—every new topic builds on what came before. Students who struggle in senior maths often don't lack intelligence; they're missing foundational pieces that were never properly taught or solidified. This course addresses these gaps directly, building genuine understanding rather than memorised procedures.
Students receive a detailed course book with explanations, practice questions, and worksheets—an excellent reference as they progress through their mathematical journey.
Who Is This Course For?
This course is ideal for students in Years 6–8 who want to build or strengthen their mathematical foundations:
What You'll Learn
The course covers the essential building blocks of mathematics, structured to build genuine understanding:
1. Numbers and Manipulation
- Mathematical Terminology
- Addition
- Subtraction
- Multiplication
- Division
- Order of Operations
- Equivalent Fractions
- Addition of Fractions
- Adding and Subtracting Fractions
- Multiplying and Dividing Fractions
- Proportions and Percentages
- Using Proportions and Percentages
2. Introduction to Algebra
- What is Algebra?
- Algebraic Terminology
- Substitution of a Variable
- Adding and Subtracting Terms
- Multiplying and Dividing Terms
- Algebraic Fractions
3. Expanding
- Expanding and Simplification
- Expanding Brackets
- Expanding Binomials
4. Factorising
- Understanding Terms
- Factorising out a Number
- Factorising out a Variable
- Factorising out a Function
5. Equations
- The Definition of an Equation
- The Requirements to Solve for x
- Solving Equations
- Solving Harder Equations
- Expanding and Simplifying to Solve Equations
- Equations as a Line
- Inequalities as a Region
- The Number Plane
- The Relationship between X and Y
- The X and Y Intercepts
- The Gradient
- Y = mx + c
- Parallel Lines
- Using Straight Line Graphs
- Cartesian Transformations
- Congruent Triangles and Quadrilaterals
- Similar Figures and Similar Triangles
6. Introduction to Surds and Index Laws
- What is an Index?
- Multiplying and Dividing Powers
- Adding Powers
- Overview of the Index Laws
- Surds
- Rationalising the Denominator
7. Shapes, Area and Volume
- Lines
- Angles
- Angles in Parallel Lines
- Angles in Triangles
- Quadrilaterals
- Circle Geometry
- Triangles
- Length and Perimeter of Shapes
- Pythagoras' Theorem
- Similar Triangles
- Congruent Triangles
- Area of Basic Shapes
- Volume and Surface Area of 3-Dimensional Shapes
- Introduction to π and Circles
- Finding the Length of the Circumference
- Area of a Circle
- Perimeter of a Circle
- Applying π
- Volume and Surface Area of Circle-Related Shapes
- Complex Perimeter, Area, and Volume
8. Probability
- Introduction to Probability
- Simple Probability
- Multi-Step Probability
- Tree Diagrams
- Venn Diagrams
- Experimental Probability
Questions?
We are always happy to answer any questions you may have. Please do not hesitate to reach out.