The Junior Cert
... your guide to excellence from day one to your exam

The Spiral Method of Learning involves working on a topic and then coming back later to look at it in more detail.
Gradually you build up more and more information about everything and how it all fits together.
This way, you don't feel overwhelemed at the beginnning. You return to all the topics again and again ( in a spiral).
Do your best each step of the way.
While the ideas might be new and challenging, as you practise everything makes more and more sense.

So Enjoy. Start with Week01 below

  • Welcome to The Maths Guide.
  • Your Weekly Schedule : Day 0 to Day 6 and Guide to exercises and revisions.
  • Using Negative values
  • Formulas and negative values
  • Connecting Questions and Answers
  • Basic expressions with variables
  • Evaluating basic expressions
  • Adding and Subtracting with negative numbers
  • Adding Expressions
  • Listing points on a graph
  • Reversing a Formula
  • Reversing a formula
  • Multiplying and Dividing with Negative Numbers
  • Subracting Expressions
  • Describing a list of values
  • Undoing a formula with the balance method
  • Formulas that create patterns
  • Adding and Subtracting Multiples of expressions
  • Expanding and simplifying expressions
  • Combining Two lists of values
  • The balance method with two expressions
  • Checking your answers with substitution
  • Rounding to the Nearest ...
  • Adding percentages
  • Percentages to decimals (with variables)
  • Solving percentages with the balance method
  • Multiple steps adding percentages
  • Significant Figures
  • Multiple step percentage questions as a single sum
  • Using Indices in percentage questions
  • Fraction word questions using the term 'remainder'
  • Writing one value AS A percentage of another.
  • Rounding and Significant Figures
  • Ratios: Scaling up and down
  • Ratios: Money conversion
  • Taxation
  • What Percentage is this...?
  • Scientific Notation
  • Percentages and the Unitary Method
  • Solving Ratio problems
  • Solving Ratio problems using algebra - Why we use algebra?
  • Percentage questions. Thinking about problem solving
  • Constructing Angles and Measuring Distance
  • Plotting points and measuring angles
  • Area of a rectangle (Revision)
  • Measuring angles when given ratios of sides
  • Sum of angles in a triangle
  • Constructions : ASA construction of a triangle
  • Plotting points. Measuring angles using two points and the horizontal
  • Constructions : SSS construction of a triangle
  • Angles in triangle : Find the missing angle
  • Angles on a line : Find the missing angle
Description: Introduction to Statistics and Probability
  • Inference. Collected information and reasonable conclusions.
  • Probability as a fraction
  • More likely or less likely ?
  • Paths through a menu
  • Venn diagrams
Description: Statistics and Probability
  • Describing a group : The Median
  • Expectations from probability
  • Expectations using the median
  • Counting outcomes for multiple events
  • Venn diagrams and Set symbols
Description : Displaying data, Area of shapes
  • Tables: Fractions of the total amounts
  • Creating Pie Charts
  • Using pie charts
  • Area of compound shapes
  • Area of rectangles using algebraic expressions
  • Constructions : SSS Triangle construction
  • Lines and the y-intercept (Vertical line)
  • Lines and intersection with horizontal lines
  • Lines and slope
  • Evaluating expressions with indices