Strand 3 Leaving Certificate Ordinary Level Numbers and Shapes  Revised
This free project maths course looks at Numbers and Shapes, an important topic in the Irish Leaving Certificate.
Description
Numbers and number patterns are the basic building blocks of algebra and arithmetic. And we cannot escape using numbers in our everyday lives. We use count through the minutes and hours of our day with our clocks. We count out cash to pay bills and take a flutter on the lotto by choosing our numbers.
Applying Arithmetic and Geometric series in finance is examined through investments and loan repayments. Using AER (annual equivalent rate) and APR (annual percentage rate) when calculating your repayments is examined. Students then look at the concept of a complex number. They are shown how to multiply, divide, add and subtract complex numbers.
Complex numbers can be used to represent the current flow in a circuit and they are widely seen in electronics generally. Numbers are used to measure the perimeter and area of many shapes (hexagons, rectangles, triangles and circles) and we also try to work out the volumes of solids such as cones, spheres, cylinders and hemispheres.
Start Course NowModules
Numbers

Numbers  Learning Outcomes

Large Numbers in Standard Form

Changing Decimals to Standard Form

Changing Large Numbers from Standard Form

Changing Small Numbers from Standard Form

Adding and Multiplying Simple Powers

Working with Indices

Negative Indices

Fractional Indices, Numerator of 1

Index Power Equal to 0

Positive Fractional Indices All Types

Negative Fractional Indices

Writing Index Numbers as a Power of 2

Quadratic Number Patterns

Arithmetic Series

Geometric Series

Rational or Irrational

Manipulating Complex Numbers and The Complex Conjugate

The Argand Diagram and Modulus

The Meaning of i

Patterns with Imaginary Numbers

Numbers  Lesson Summary
Arithmetic

Arithmetic  Learning Outcomes

Percentage Profit, Markup and Margin

Calculating Profit with Special Offers

Percentage Loss 1

Percentage Loss 2

Simple Interest – Calculating The Interest

Simple Interest – Calculating The Rate

Simple Interest – Calculating The Principal

Simple Interest – Calculating The Period

Percentage Changes Using Multipliers

Reverse Percentages and VAT

Introducing Compound Interest

Compound Interest and Annual Equivalent Rate

Compound Interest APR with Credit Cards

Depreciation

Calculating APR

Calculating Monthly Interest From APR – 2 Methods

Income Tax, USC and PRSI

Net Pay / Take Home Pay

Arithmetic  Lesson Summary
Length, Area and Volume

Length, Area and Volume  Learning Outcomes

Circumference of a Circle

Area of a Circle

Finding Radius and Diameter of a Circle From its Perimeter

Finding Radius and Diameter From Area of Circle

Area of Trapezium

Area of Acute Angled Triangles

Area of Obtuse Angled Triangles

Area of Parallelogram

Area of Rectangles

Area Compound Shapes (Rectangles)

Area of Compound Shapes

Area of Compound Shapes (Triangles)

Volume and Surface Area

Sectors and Arcs

Area of a Segment

Volume of Compound Solid

Length, Area and Volume  Lesson Summary
Course assessment
Learning Outcomes
Having completed this course students will be able to:
 Identify how to write numbers in the standard form or scientific notation and back to decimal form
 Discuss how to work with indices when fractional, index power 0, and negative
 Define what rational, irrational and imaginary numbers are
 Discuss what percentage profit is and the differences between markup and margin profit
 Calculate percentage changes using multipliers
 Calculate the depreciation of value on items
 Identify the two methods for calculate the annual percentage rate
 Calculate the income tax, universal social charge, and PRSI on your paycheck
 Calculate the area of a Circle, Triangle, trapezium, and Compound shapes
 Calculate the volume and surface area of 3 dimensional shapes/objects
 Calculate the area of a sector, arc and segment of a circle
Certification
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