Working together to improve teaching & learning Leagan Gaeilge
Leaving Certificate ›› LC Number
Strand 3 further develops the proficiency learners have gained through their study of strand 3 at junior cycle. Learners continue to make meaning of the operations of addition, subtraction, multiplication and division of whole and rational numbers and extend this sense-making to complex numbers.
They extend their work on proof and become more proficient at using algebraic notation and the laws of arithmetic and induction to show that something is always true. They utilise a number of tools: a sophisticated understanding of proportionality, rules of logarithms, rules of indices and 2D representations of 3D solids to solve single and multi-step problems in numerous contexts.
-Leaving Certificate Syllabus page 27
General Resources for Geometry and Trigonometry
The following teaching and learning plans are available:

Arithmetic Sequences Geometric Series
Arithmetic Sequences (PPT) Geometric Series (PPT)
Arithmetic Series Applications of Geometric Sequence & Series
Arithmetic Series (PPT) Applications of Geometric Sequence & Series (PPT)
Geometric Sequences Complex Numbers
Geometric Sequences (PPT) Complex Numbers (PPT)
A selection of resources from the Junior Cycle page may be useful for teaching the Foundation Level Syllabus.
Some useful resources for teaching Number can be found on the Workshop and Event Resources Page, in particular, Complex Numbers Online Workshop (2020 – 2021), NQT Workshop 4 (2018 – 2019), Project Maths Workshop 3 , Modular Course 3  and Modular Course 4 (2008 – 2015).
GeoGebra tutorials on using the scientific calculator may useful for the teaching of Number.
Explanatory videos for students on the use of calculators may be useful for the teaching of Number.
There are a range of lesson plans developed by teachers available in our Lesson Study Library.
There are a range of resources created by teachers available on Scoilnet to support teaching and learning of Number.
Resources by Syllabus Outcome

Outcome 3.1

Number Systems

 

General Resources

A teaching and learning plan developed by teachers on arithmetic.
A proof for students that root 2 is irrational.
A student poster to map out the connections across the syllabus.
A GeoGebra file to create triangles with surd lengths.
website exploring the notion of proof.
Some presentations for students on proof by induction.

Sequences and Series

A teaching and learning plan developed by teachers on discovering the sum of an arithmetic sequence.

Complex Numbers

A GeoGebra file showing the effect of adding a complex number to a another complex number.
A GeoGebra file showing the effect of multiplying a complex number by another complex number.
A GeoGebra file showing the effect of multiplying a complex number by i.
A GeoGebra file showing the effect of multiplying a complex number by a real number.
An instructional video for teachers on teaching complex numbers in a blended setting.
A sample proof of DeMoivre’s Theorem for teachers.
A selection of GeoGebra files and supporting activities to support students in exploring complex numbers.
This presentation for teachers provides additional information to support a student activity that explores the relationship between the Argument and Modulus when multiplying complex numbers.

Outcome 3.2

Indices

Indices

Diagnostic test and Instructions for using this diagnostic test for students on indices.
Presentation with activities on indices.
Examples of exponential growth.
A task on disease dynamics exploring exponential growth and useful website to support this task.

Logarithms

Presentation for teachers on introducing logarithms.
Student activities on introducing logarithms.
GeoGebra file showing how logs contract numbers greater than 1.
GeoGebra file showing how logs expand numbers between 0 and 1.
GeoGebra file showing the relationship between exponential and logarithmic functions.

Outcome 3.3

Arithmetic

Arithmetic

Lesson Plan developed by teachers on Introducing tolerance and error.
A Presentation comparing a linear and exponential model.

Financial Applications

A teacher information document outlining how geometric sequences can be applied to finance.
A teacher booklet investigating applications of Geometric Sequences to Finance.
A Presentation for teachers on present and future value.
Student activities on compound interest and reducing balance.

Outcome 3.4

Length, Area and Volume

 

Trapezoidal Rule

A Presentation for teachers and accompanying Excel file for students on introducing the trapezoidal rule for teaching the trapezoidal rule.

Problem-Solving

Problem-solving presentation estimating surface area of a filing cabinet using post-its and an investigation of tilted squares. Accompanying Maths blog (includes videos) and Student worksheet.
Website with additional information on tilted squares and a GeoGebra file showing tilted squares and accompanying student worksheet
GeoGebra file showing how to construct a square with an area of 29 square units.
A lesson plan developed by teachers on designing a rain gutter.
A 3D problem based on a regular tetrahedron.
GeoGebra file exploring the net of a 3d pyramid.