The Junior Cert

... your guide to excellence from day one to your exam

Contents

Welcome to the Junior Cert course on The Maths Guide. This course is different to the traditional class based method and I have designed this course to be the best way for YOU as an individual to learn maths. I wish you the best of luck. Note that each exercise may appear difficult at first but you have the ability to succeed in this and become an excellent practioner of maths.

Description:

- 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

Description:

- Adding and Subtracting with negative numbers
- Adding Expressions
- Listing points on a graph
- Reversing a Formula
- Reversing a formula

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- Multiplying and Dividing with Negative Numbers
- Subracting Expressions
- Describing a list of values
- Undoing a formula with the balance method
- Formulas that create patterns

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- 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

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- Rounding to the Nearest ...
- Adding percentages
- Percentages to decimals (with variables)
- Solving percentages with the balance method
- Multiple steps adding percentages

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- 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.

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- Rounding and Significant Figures
- Ratios: Scaling up and down
- Ratios: Money conversion
- Taxation
- What Percentage is this...?

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- 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

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- 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

Description

- 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

Description:

- Constructions : SSS Triangle construction
- Lines and the y-intercept (Vertical line)
- Lines and intersection with horizontal lines
- Lines and slope
- Evaluating expressions with indices