Project Maths | Junior Certificate

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Statistics & Probability

Geometry & Trigonometry

Number

Algebra

Functions

Calculating the mean of a set of numbers

Investigating the effect on the mean of adding a constant

Investigating the effect on the mean of multiplying by a constant

Investigating the effect on the mean of adding a new data item

Understanding the mean, median and mode of data

Understanding the range of data

Mean, median, mode and range quiz

Understanding bar charts

Understanding pie charts

Understanding stem and leaf plots

Understanding histograms of equal intervals

Understanding the fundamental principle of counting

Understanding the probability scale

Throwing a die

Probability Applet

Axioms, theorems and corollaries

The protractor axiom

Theorem 1 - Vertically opposite angles...

Theorem 2 - In an isosceles triangle...

Theorem 3 - If a transversal...

Theorem 4 - The angles in any triangle...

Theorem 5 - Two lines are parallel...

Theorem 6 - Each exterior angle...

Theorem 9 - In a parallelogram, opposite sides...

Theorem 10 - The diagonals of a parallelogram...

Theorem 13 - If two triangles are similar...

Theorem 14 - Theorem of Pythagoras...

Theorem 15 - Converse of Pythagoras...

Theorem 11 - If three parallel lines cut off...

Theorem 12 - In a triangle, if a line is parallel...

Theorem 19 - The angle at the centre of a circle...

Proofs (HL only)

Proof of Theorem 4 - The angles in any triangle...

Proof of Theorem 6 - The exterior angle...

Proof of Theorem 9 - In a parallelogram, opposite sides...

Proof of Theorem 14 - Theorem of Pythagoras...

Proof of Theorem 19 - The angle at the centre...

Constructions

Using a protractor to measure angles

Construction 1 - Bisector of an angle...

Construction 2 - Perpendicular bisector of a segment...

Construction 3 - Line perpendicular to a given line...

Construction 3(a) - Line perpendicular to a given line...

Construction 4 - Line perpendicular to a given line...

Construction 4(a) - Line perpendicular to a given line...

Construction 5 - Line parallel to a given line...

Construction 6 - Division of a line segment...

Construction 7 - Division of a line segment...

Construction 8 - Line segment of given length...

Construction 9 - Angle of a given number of degrees...

Construction 10 - Triangle given lengths of three sides...

Construction 11 - Triangle given SAS data...

Construction 12 - Triangle given ASA data...

Construction 13 - Right-angled triangle given hypotenuse...

Construction 14 - Right-angled triangle, given one side...

Construction 15 - Rectangle given side length...

Construction 15a - Rectangle given side length...

Transformations

Reflection in a point

Reflection in axes

Translation

Transforming spongebob

Transforming tweety

Coordinating the plane

Coordinate geometry

Axes and quadrants

Midpoint of a line segment

Slope of a line

Length of a line segment

Lines parallel to the axes

Equation of a line

Perpendicular lines

Adding integers

Negative integers

Subtracting integers

Decimals on the number line

Comparing fractions

Comparing decimals

Comparing percentages

Understanding fractions using a fraction strip

Locating fractions on the number line

Fractions, decimals and percentages

Fractions using a circle

Skip counting

Highest common factor and lowest common multiple

Visualising fraction multiplication

Area of a trapezium

Rounding and estimation

Net of a cube

Net of a cylinder

Net of a cone

Net of a pyramid

Set notation

Understanding venn diagrams

Reviewing sets

Multiplying two numbers in index form

Dividing two numbers in index form

The exponential function f(x)=2^x

Growing plant

Two toy cars racing

Yellow and blue tiles

Review of patterns

How the area of a square relates to its edge length

Comparing mobile-phone charges

Doubling pocket money

Different relationships in a cube

Investigating the change of the change of a pattern

Investigating savings in a piggy bank

The equation of a line

Relations without formulae

Linear Functions

Simultaneous equations in two unknowns

Introducing Equations

Relating the roots and factors of a quadratic

First order simultaneous equations

Representing inequalities on the number line

Algebraic substitution

Factors

Difference of two squares

Solving linear equations of the form ax+b=c

Solving linear equations of the form ax+b=cx+d

Solving quadratic equations

Solving quadratic equations using the quadratics roots formula

Graphs of motion 1

Graphs of motion 2

Graphs of motion 3

Graphs of motion 4

Graphs of motion 5

Graphs of motion 6

Graphs of motion 7

Graphs of motion 8

Graphs of motion 9

Graphs of motion 10

Scaling a quadratic function f (x) = ax² where a is a positive number

Scaling a quadratic function f (x) = ax² where a is positive or negative

Vertically shifting a quadratic function f (x) = x² + c

Scaling and vertically-shifting a quadratic function f (x) = a x² + c

Horizontally shifting a quadratic function f (x) = (x+h)²

Shifting and scaling a quadratic function f (x) = a (x+h)² + k

Different forms of the quadratic function

Different representations of quadratic functions

Exponential functions