Irish Curriculum · 5th Year Maths

5th Year Maths Lesson Plan & Curriculum Map

A full-year 5th Year Maths lesson plan aligned to the Leaving Certificate Mathematics syllabus in Ireland. Week-by-week lessons for 1, 2 or 3 days a week from September to August, covering Higher Level algebra, trigonometry, co-ordinate geometry of the line and circle, probability, geometry, differential calculus, sequences and series, and statistics; and Ordinary Level number and percentages, money and measure, area and volume, graphs, statistics, algebra, geometry, patterns, trigonometry, linear functions and constructions.

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4Terms
48Weekly checkpoints
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5th Year Maths learning map

Choose a term, then compare a lighter weekly plan with a more intensive schedule.

1 day/week · steady pace2–3 days/week · guided practice
September · Algebra 1

5th Year Higher Level — September Lesson Plan

Irish Curriculum · Maths Higher Level
Week1 Day/Week2 Day/Week3 Day/Week
September 1st week
(Mathematics)		Algebra 1 1: Algebra 1Algebra 1 1: Algebra 1Algebra 1 1: Algebra 1
September 2nd week
(Mathematics)		Algebra 1 Continued Practice & ConsolidationAlgebra 1 Continued Practice & ConsolidationAlgebra 1 Continued Practice & Consolidation
September 3rd week
(Mathematics)		Algebra 1 Continued Practice & ConsolidationAlgebra 1 Continued Practice & ConsolidationAlgebra 1 2: Concept Review 3: Practice Problems & Quiz
September 4th week
(Mathematics)		Algebra 1 2: Concept Review 3: Practice Problems & QuizAlgebra 1 2: Concept Review 3: Practice Problems & QuizAlgebra 1 Applied Practice Task
October · Algebra 2

5th Year Higher Level — October Lesson Plan

Irish Curriculum · Maths Higher Level
Week1 Day/Week2 Day/Week3 Day/Week
October 1st week
(Mathematics)		Algebra 2 1: Algebra 2Algebra 2 1: Algebra 2Algebra 2 1: Algebra 2
October 2nd week
(Mathematics)		Algebra 2 Continued Practice & ConsolidationAlgebra 2 Continued Practice & ConsolidationAlgebra 2 Continued Practice & Consolidation
October 3rd week
(Mathematics)		Algebra 2 Continued Practice & ConsolidationAlgebra 2 Continued Practice & ConsolidationAlgebra 2 2: Concept Review 3: Practice Problems & Quiz
October 4th week
(Mathematics)		Algebra 2 2: Concept Review 3: Practice Problems & QuizAlgebra 2 2: Concept Review 3: Practice Problems & QuizAlgebra 2 Applied Practice Task
November · Trigonometry 1

5th Year Higher Level — November Lesson Plan

Irish Curriculum · Maths Higher Level
Week1 Day/Week2 Day/Week3 Day/Week
November 1st week
(Mathematics)		Trigonometry 1 1: Trigonometry 1Trigonometry 1 1: Trigonometry 1Trigonometry 1 1: Trigonometry 1
November 2nd week
(Mathematics)		Trigonometry 1 Continued Practice & ConsolidationTrigonometry 1 Continued Practice & ConsolidationTrigonometry 1 Continued Practice & Consolidation
November 3rd week
(Mathematics)		Trigonometry 1 Continued Practice & ConsolidationTrigonometry 1 Continued Practice & ConsolidationTrigonometry 1 2: Concept Review 3: Practice Problems & Quiz
November 4th week
(Mathematics)		Trigonometry 1 2: Concept Review 3: Practice Problems & QuizTrigonometry 1 2: Concept Review 3: Practice Problems & QuizTrigonometry 1 Applied Practice Task
December · Coordinate Geometry: The Line

5th Year Higher Level — December Lesson Plan

Irish Curriculum · Maths Higher Level
Week1 Day/Week2 Day/Week3 Day/Week
December 1st week
(Mathematics)		Coordinate Geometry: The Line 1: Coordinate Geometry: The LineCoordinate Geometry: The Line 1: Coordinate Geometry: The LineCoordinate Geometry: The Line 1: Coordinate Geometry: The Line
December 2nd week
(Mathematics)		Coordinate Geometry: The Line Continued Practice & ConsolidationCoordinate Geometry: The Line Continued Practice & ConsolidationCoordinate Geometry: The Line Continued Practice & Consolidation
December 3rd week
(Mathematics)		Coordinate Geometry: The Line Continued Practice & ConsolidationCoordinate Geometry: The Line Continued Practice & ConsolidationCoordinate Geometry: The Line 2: Concept Review 3: Practice Problems & Quiz
December 4th week
(Mathematics)		Coordinate Geometry: The Line 2: Concept Review 3: Practice Problems & QuizCoordinate Geometry: The Line 2: Concept Review 3: Practice Problems & QuizCoordinate Geometry: The Line Applied Practice Task
The learning framework

Anatomy of a focused lesson

Each session moves from a clear focus to guided practice and a quick check for understanding.

10 minutes

Retrieve and diagnose

Open with short questions that check the prior knowledge needed for the week’s 5th Year Maths topic.

25 minutes

Model and practise

Work through the method with worked examples, then practise Leaving Cert-style questions with targeted feedback.

10 minutes

Check for understanding

Finish with a short timed question that shows progress towards the Leaving Cert exam.

Student learning toolkit

Resources for 5th Year Maths

Concept lessons

Clear explanations of each 5th Year maths topic in the order it comes up in school.

Practice problems & quizzes

Practice problems, concept reviews and quizzes matched to each week of the plan.

Exam-style practice

Leaving Cert maths questions with worked solutions and marking guidance.

Progress notes

Regular feedback for parents on strengths, gaps and next steps.

Free first lesson

Build a plan for 5th Year Maths

Tell us your child’s year, level (Higher or Ordinary) and where they are with Leaving Cert maths, and we will shape the first grind around the 5th Year Maths topics that matter most.

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  • A one-to-one session with a certified Maths tutor
  • A recommended next-step study plan