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18th March 2020
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4th September 2018
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›› Leaving Certificate
Statistics & Probability
Geometry & Trigonometry
Number
Algebra
Functions
Calculating the mean of a set of numbers
Geogebra File
Student Activity
Investigating the effect on the mean of adding a constant
Excel File
Student Activity
Investigating the effect on the mean of multiplying by a constant
Excel File
Student Activity
Investigating the effect on the mean of adding a new data item
Excel File
Student Activity
Understanding stem and leaf plots
Excel File
Quiz
Investigating the effect on a histogram of changing one data value
GeoGebra
Student Activity
Investigating the effect on a histogram of changing the class interval
Excel
Investigating the mean and standard deviation of a dataset
Excel
Student Activity
Quiz
Investigating correlation and a line of best fit
GeoGebra
Student Activity
GeoGebra
Student Activity
Investigating the effect of an outlier on a scatter plot
GeoGebra
Understanding the language of probability and statistics
Quiz
Quiz
Probability Applet
Zipped Folder
Axioms, theorems and corollaries
Theorem 7 - The angle opposite the greater of two sides...
GeoGebra
Student Activity
Theorem 8 - Two sides of a triangle together...
GeoGebra
Student Activity
Theorem 11 - If three parallel lines cut off equal segments...
GeoGebra
Student Activity
Theorem 12 - In a triangle if a line parallel to one side cuts...
GeoGebra
Student Activity
Theorem 13 - If two triangles are similar, their sides...
GeoGebra
Student Activity
Theorem 16 - For a triangle, base times height...
GeoGebra
Student Activity
Theorem 17 - A diagonal of a parallelogram bisects...
GeoGebra
Student Activity
Theorem 18 - The area of a parallelogram is...
GeoGebra
Student Activity
Theorem 20 - Each tangent is perpendicular to the radius...
GeoGebra
Student Activity
Theorem 21 - The perpendicular bisector of a chor...
GeoGebra
Student Activity
Proofs (HL only)
Proof of Theorem 11 - If three parallel lines cut...
Powerpoint
Powerpoint
Proof of Theorem 12 - In a triangle if a line parallel to one side...
Powerpoint File
Proof of Theorem 13 - If two triangles are similar then...
Powerpoint File
Constructions
Construction 16 - Circumcentre and circumcircle of a given triangle...
GeoGebra File
Student Activity
Construction 17 - Incentre and incircle of a given triangle...
GeoGebra File
Student Activity
Construction 18 - Angle of 60° without...
GeoGebra File
Student Activity
Construction 19 - Tangent to a given circle...
GeoGebra File
Student Activity
Construction 20 - Parallelogram, given the length of the sides...
GeoGebra File
Student Activity
Construction 21 - Centroid of a triangle
GeoGebra File
Student Activity
Construction 22 - Orthocentre of a triangle
GeoGebra File
Student Activity
Reviewing constructions
Quiz
Quiz
Transformations
Reflection in a point
GeoGebra File
Student Activity
Reflection in axes
GeoGebra File
Student Activity
Translation
GeoGebra File
Student Activity
Enlargements
GeoGebra File
Student Activity
GeoGebra File
Coordinate geometry
Circle with centre (0,0)
GeoGebra File
Student Activity
GeoGebra File
Student Activity
GeoGebra File
Student Activity
Circle with centre (h,k)
GeoGebra File
Student Activity
Circle with centre (-g,-f)
GeoGebra File
Student Activity
Dartboard
GeoGebra File
Intersection of a line and a circle
GeoGebra File
Tangents to a circle
GeoGebra File
Circle with centre (-g,-f)
GeoGebra File
Student Activity
Trigonometry
f(x)=asin(bx)
GeoGebra File
Student Activity
f(x)=acos(bx)
GeoGebra File
Student Activity
f(x)=tan(x)
GeoGebra File
Comparing the functions sin(x) and cos(x)
GeoGebra File
Investigating the function f(x)=acos(bx)+csin(dx)
GeoGebra File
Investigating sin(x) and cos(x) along the unit circle
GeoGebra File
Is the function a sine or a cosine function?
GeoGebra File
Area of a triangle quiz
GeoGebra File
Circle quizes
GeoGebra File
GeoGebra File
GeoGebra File
GeoGebra File
Arithmetic sequences and series
GeoGebra File
Student Activity
Geometric sequences and series
GeoGebra File
Student Activity
The sum to infinity of a geometric sequence
PowerPoint File
Arithmetic sequences
Quiz
Arithmetic series
Quiz
Geometric sequences
Quiz
Geometric series
Quiz
The sum of the first n natural numbers
PowerPoint File (a)
PowerPoint File (b)
The sum to a geometric sequence
PowerPoint File
(1+x)
^{n}
> 1 + nx
PowerPoint File
2
^{n}
> n
^{2}
PowerPoint File
n! > 2n
PowerPoint File
3 as a factor of 4n - 1
PowerPoint File (a)
PowerPoint File (b)
The Argand Diagram and modulus of a complex number
GeoGebra File
Student Activity
Addition of complex numbers
GeoGebra File
GeoGebra File
Student Activity
Subtraction of complex numbers
GeoGebra File
Student Activity
The conjugate of a complex number
GeoGebra File
Student Activity
Multiplying a number by i
GeoGebra File
Student Activity
Multiplication of complex numbers
GeoGebra File
GeoGebra File
Student Activity
Division of complex numbers
GeoGebra File
GeoGebra File
Student Activity
The area of a trapezium
GeoGebra File
Student Activity
Estimating the area of a semi-circle using the trapezoidal rule
GeoGebra File
Student Activity
Finding the area of a circular pond and its surrounding path
GeoGebra File
Student Activity
Finding the area of a rectangular picture frame
GeoGebra File
Student Activity
Race-track problem
GeoGebra File
Student Activity
Investigating the rate of change of height as volume changes
GeoGebra File
Student Activity
Investigating √2 and √3
GeoGebra File
GeoGebra File
Student Activity
Relations without formulae
Quiz
Changing the base of a logarithm
GeoGebra File
Student Activity
Logarithms
Quiz
Understanding an ESB bill
GeoGebra File
Student Activity
Understanding exchange rates
GeoGebra File
Student Activity
Understanding value added tax (VAT)
GeoGebra File
Student Activity
Amortisation of a loan
PowerPoint Show
Understanding the rules of indices
Quiz
Net of a cube
GeoGebra File
Net of a cylinder
GeoGebra File
Net of a cone
GeoGebra File
Net of a pyramid
GeoGebra File
Net of an octahedron
GeoGebra File
Solving a linear and quadratic equation simultaneously
GeoGebra File
Student Activity
Understanding absolute-value functions
GeoGebra File
Student Activity
Absolute value - less than
GeoGebra File
Student Activity
Absolute value - greater than
GeoGebra File
Student Activity
Writing complex numbers in polar form
GeoGebra File
Student Activity
Proof of De Moivre's Theorem
PowerPoint Show
De Moivre's Theorem
Quiz
Proof of Sin(3x) and Cos(3x) formulae
PowerPoint Show
Solving quadratic inequalities
GeoGebra File
Student Activity
Inequalities in context
GeoGebra File
Student Activity
Understanding polynomial functions
GeoGebra File
Student Activity
Quiz
Finding the equation of a linear function
GeoGebra File
Finding the equation of a quadratic function
GeoGebra File
Scaling a quadratic function f (x) = ax
^{2}
where a is a positive number
GeoGebra file
Student Activity
Scaling a quadratic function f (x) = ax
^{2}
where a is positive or negative
GeoGebra file
Student Activity
Vertically shifting a quadratic function f (x) = x
^{2}
+ c
GeoGebra file
Student Activity
Scaling and vertically-shifting a quadratic function f (x) = a x
^{2}
+ c
GeoGebra file
Student Activity
Horizontally shifting a quadratic function f (x) = (x+h)
^{2}
GeoGebra file
Student Activity
Shifting and scaling a quadratic function f (x) = a (x+h)
^{2}
+ k
GeoGebra file
Student Activity
Different forms of the quadratic function
GeoGebra file
GeoGebra file
GeoGebra file
Student Activity
Different representations of quadratic functions
Student activity
Scaling a cubic function f (x) = a x
^{3}
GeoGebra file
Student Activity
Vertically shifting a cubic function f (x) = x
^{3}
+ c
GeoGebra file
Student Activity
Horizontally shifting a cubic function f (x) = (x + h)
^{3}
GeoGebra file
Student Activity
Introducing the factor theorem
GeoGebra file
GeoGebra file
Student Activity
Roots of a cubic function
GeoGebra file
Student Activity
GeoGebra file
Student Activity
Relating the graph of a cubic function to its algebra
GeoGebra file
Student Activity
Student Activity
Understanding exponential functions
GeoGebra file
Student Activity
Understanding logarithmic functions
GeoGebra file
Student Activity
Understanding the relationship between e
^{x}
and ln(x)
GeoGebra file
Student Activity
Derivative of a constant
GeoGebra file
Student Activity
Derivative of a linear function
GeoGebra file
Student Activity
Derivative of a quadratic function
GeoGebra file
Student Activity
Derivative of a cubic function
GeoGebra file
Student Activity
Integration and area 1
GeoGebra file
Student Activity
Integration and area 2
GeoGebra file
Student Activity
Integration and area 3
GeoGebra file
Student Activity
Integration and area 4
GeoGebra file
Student Activity
Average value 1
GeoGebra file
Student Activity
Average value 2
GeoGebra file
Student Activity
Average value 3
GeoGebra file
Student Activity
New to projectmaths.ie
How to filter for PDST resources on scoilnet.ie
18th March 2020
Support for Teaching and Learning
16th March 2020
School Visit Support
4th September 2018
Lesson Study Induction Training
4th September 2018
Workshops for Newly Qualified Maths Teachers
1st June 2018