Learning Outcomes

Number Systems

Arithmetic Calculations

Working with Shapes

Lesson Summary

In this module, you will learn how to work with and solve number systems including indices, arithmetic series and geometric series. You'll also use arithmetic to work with percentages, simple interest, compound interest and depreciation. Finally, covering how to calculate the length, area or volume of shapes or segments.

Strand 3 Junior Certificate Ordinary Level Numbers and Shapes - Course Assessment

Gain better understanding of working with complex numbers in this free online course.

Strand 3 Junior Certificate Ordinary Level Numbers and Shapes

Numbers and shapes, concepts that are the basic building blocks of arithmetic and algebra. In this course, you will study a variety of topics to prepare you for your Junior Certificate. Cover topics like scientific notation and indices rules. As well as calculating interest, formulas used to calculate the area of different shapes will be taught. Whether you are a student or simply looking to brush up on your maths skills this course is for you.

Expressions and Formulas

Solving Equations

Inequalities

Complex Numbers

This first module looks at some basic expressions and formulas. It takes the learner through Inequalities and then moves onto complex numbers. Within each topic are a number of videos which will cover various sub-topics, such as Argand diagrams for complex numbers.

Synthetic Geometry

Coordinate Geometry

Trigonometry

In this module you will learn how to work with and solve synthetic geometry including shapes, coordinate geometry including parallel and perpendicular lines, circles and graphs. You will also learn how to work with trigonometry including sines, cosines and tangents.

Arithmetic

Length - Area - Volume

In this module you will learn how to work with and solve number systems including indices, arithmetic series and geometric series; use arithmetic to work with percentages, simple interest, compund interest and depreciation; and how to calculate the length, area or volume of a shape or segment.

Diploma in Mathematics - First Assessment

You must score 80% or more to pass this assessment.

Counting and Probability

Statistics

In this module you will learn how to work out the probability of simple and compound events, and work with normal distributions and binomial distributions. The topic also introduces you to Bernoulli trials and Bayes' Theorem. You will also learn how to work with statistical methods including sampling methods, correlation and regression, stem and leaf diagrams.

Functions

Calculus - Differentiation

Calculus - Integration

In this module you will learn how to work with functions to plot graphs, including quadratic graphs, cubic graphs and exponential graphs. This topic also review differentiation in detail including the Chain Rule, Product Rule and Quotient Rule. You will also learn about integration, covering areas such as trigonometric functions and exponentials.

Diploma in Mathematics - Second Assessment

Diploma in Mathematics - Assessment

We take you through important mathematical concepts step by step in this free online mathematics diploma course.

Diploma in Mathematics

Enhance and refresh your mathematical knowledge with this diploma course. We cover a wide range of topics, including algebra, statistics, calculus, geometry and trigonometry. We break down these complex ideas and go through them step by step with exercises and examples to prepare you for many professional fields. This course widens your career options as mathematics is essential in a world that is constantly moving forward with new technologies.

Coursera, Udemy, and the $10M+ Video Privacy Battle: Class Action Update

Class Action: 50,000 Seek Payouts, Costing Coursera, Udemy Millions

25 Resources to Learn Generative Engine Optimization in 2025

10 Best Free Rust Courses for 2025: Write Memory-Safe Code

Duolingo’s Reddit Community Revolts: ‘No Más’ to Unpaid Support

Coursera Q1 2026: Platform Fee Raises Consumer Margins to a Multi-Year High, Enterprise Customers Slip

7 Best TikTok Marketing Courses for 2025

Black Friday 2024: 50+ Online Learning Deals

New CEO, New Structure: Greg Hart Reshapes Coursera’s Reporting

31 Most Popular Online Courses Starting in June 2024

Udemy Earns More, Pays Instructors Less: Class Central Exclusive

Coursera Q4 2025: 197M Learners, ~$197M Revenue, ~$27M in Losses

10 Best Go (Golang) Courses for 2025

AI Prompting with Google: From Beginner to Certified

Coursera and Udemy Shareholders Approve Merger With 99% of Votes

Learn Something New: 100 Most Popular Courses For December