﻿ Project Maths | Regional Course 2018
Working together to improve teaching & learning Leagan Gaeilge
Professional Development ›› Regional Course 2018 ## Workshop 1

### Section 1 – Area and Volume

In this section you will explore GeoGebra files which:

• support students understanding of solids and their nets
• support students understanding volume of 3D solids

The net of a cube

The net of a cuboid

The net of a cylinder

The net of a cone

The net of a pyramid

3D Diagram of Pyramid Exam Question

The Volume of a Square-Based Pyramid

Layers In a Prism

### Section 2 – Relations without Formulae

In this section you will explore GeoGebra files which:

• support students understanding how graphs relate to real-life phenomena
• help students to learn to interpret graphs
• support students developing an understanding of change and rates of change

Filling Cylinders

Filling Cone

Filling Vase

### Section 3 – Functions

In this section you will explore GeoGebra files which:

• support students understanding the basic characteristics of different function families
• help students understand shifting and scaling of functions (functions parameters)
• support students in sketching functions using a number of critical points
• provide students with a graphical understanding of calculus

Linear Functions

Trigonometric Functions

Sketching Higher-Order Polynomials

Discovering the Rules of Differentiation

Curve Sketching Derivatives

Understanding the Derivative of a Vertically-Shifted Function

Integration using Limits

Integration versus Trapezoidal Rule

Area between Two Curves

### Section 4 – Probability and Statistics

In this section you will explore GeoGebra files which:

• support students’ basic understanding of probability and chance
• help students understand correlation
• support students in understanding a 95% confidence interval
• simulate sampling so that students might understand the distribution of sample means

Flipping a Coin

Spinner

Pie Charts

Correlation Coefficient

95 % Confidence Interval

Distribution of Sample Means

### Section 5 – Complex Numbers

In this section you will explore GeoGebra files which:

• demonstrate the connection between complex addition and translations
• demonstrate the connection between complex multiplication and rotation and scaling
• explain the relationships which exist between two complex numbers and their product
• form the basis for understanding De Moivre’s Theorem
• explain why multiplying a complex number by its conjugate creates a real number