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# Strand 3 Junior Certificate Higher Level Numbers and Shapes - Revised

## Learn how to add, subtract, multiply and divide complex numbers, as well as how to calculate the area of various shapes.

Series and Sequences
Free Course
This free online Junior Certificate course teaches you Higher Level Numbers and Shapes. Students will be introduced to the concept of a complex number and how to add, subtract, multiply and divide these types of numbers. The course will show you how to use numbers to measure the perimeter and area of various shapes. Apart from that, it will teach you how to measure the volume of solids, such as cylinders, cones, spheres and hemispheres.

1-2 Hours

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Yes

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## Description

Numbers and Shapes is one of the strands of the new Project Maths Course in the Irish curriculum. The concepts of number and number patterns are the basic building blocks of arithmetic and algebra. Furthermore, we cannot escape the use of numbers in our everyday lives. We use clocks and watches to count through the hours and minutes of our day. We count out money to pay our bills and often take a flutter on the lottery by choosing six numbers. The application
of Arithmetic and Geometric series in finance is investigated through loan repayments and investments. The use of AER (annual equivalent rate) and APR (annual percentage rate) when calculating repayments is investigated.

Students are then introduced to the concept of a complex number and shown how to add, subtract, multiply and divide complex numbers. Complex numbers are used to represent the flow of current in a circuit and are also used in most areas of electronics. We use numbers to measure the perimeter and area of various shapes (triangles, rectangles, hexagons and circles) and we also use numbers to work out the volumes of solids such as cylinders, cones, spheres and hemi-spheres.

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## Learning Outcomes

Having completed this course you will be able to:

• Examine how to work with number systems including indices,  arithmetic series and geometric series
• Demonstrate how to add, subtract, multiply and divide complex numbers
• Identify how to calculate simple and compound interest
• Demonstrate how to calculate AER (annual equivalent rate) and APR (annual percentage rate)
• Calculate the length, area or volume of a shape or segment

## Certification

All Alison courses are free to enrol, study and complete. To successfully complete this Certificate course and become an Alison Graduate, you need to achieve 80% or higher in each course assessment. Once you have completed this Certificate course, you have the option to acquire an official Certificate, which is a great way to share your achievement with the world. Your Alison Certificate is:

Ideal for sharing with potential employers - include it in your CV, professional social media profiles and job applications
An indication of your commitment to continuously learn, upskill and achieve high results
An incentive for you to continue empowering yourself through lifelong learning

Alison offers 3 types of Certificates for completed Certificate courses:

Digital Certificate - a downloadable Certificate in PDF format, immediately available to you when you complete your purchase
Certificate - a physical version of your officially branded and security-marked Certificate, posted to you with FREE shipping
Framed Certificate - a physical version of your officially branded and security-marked Certificate in a stylish frame, posted to you with FREE shipping