10 Advanced Mathematics - Quadratics by Connor Rose

Methods of Gamification

connorrose3 — 2024-05-23 08:12:49 UTC

Ways to gamify learning in the classroom. These are mostly game-based questionnaires such as Blooket and Kahoot!

Efficacy of Minecraft Education for Learning Maths

connorrose3 — 2024-05-29 02:03:40 UTC

An interesting statement by Minecraft: Education Edition about its efficacy as an educational tool in the classroom.

Best Practice Models for Digital Pedagogies in Mathematics

connorrose3 — 2024-05-29 05:04:05 UTC

Findings into best practice models for using digital technologies in the context of mathematics learning and teaching. This research was by the Australian Department of Education.

Digital Innovation QLD Department of Education

connorrose3 — 2024-05-29 23:41:15 UTC

A statement by the Queensland Department of Education on its approach to digital innovation in the classroom.

Interactive Learning Pedagogies

connorrose3 — 2024-05-30 10:02:36 UTC

Information on how to teach mathematics online through mediums such as Zoom and through dedicated educational platforms.

QCAA's Stance on AI

connorrose3 — 2024-05-30 10:11:21 UTC

A statement from the QCAA on digital literacy and artificial intelligence.

General Capabilities for Digital Literacy

connorrose3 — 2024-05-30 10:15:34 UTC

In the mini-unit on quadratics there are digital literacy components which apply. The following content descriptors are relevant and will be aimed to be fulfilled:

AC9M9A06:

experiment with the effects of the variation of parameters on graphs of related functions, using digital tools, making connections between graphical and algebraic representations, and generalising emerging patterns

AC9M10A05:

experiment with functions and relations using digital tools, making and testing conjectures and generalising emerging patterns.

10 Mathematics Curriculum

connorrose3 — 2024-05-30 10:16:53 UTC

For the mini-unit the following Content descriptions are relevant in the context of the 10 Mathematics Curriculum:

Algebra:

AC9M10A01:

expand, factorise and simplify expressions and solve equations algebraically, applying exponent laws involving products, quotients and powers of variables, and the distributive property.

AC9M10A05:

experiment with functions and relations using digital tools, making and testing conjectures and generalising emerging patterns.

AI as a Curriculum Connection to Mathematics

connorrose3 — 2024-05-30 11:00:39 UTC

The focus of the mini-unit is on quadratic functions and equations - this is most closely related to algebra (AC9M10A05) in the learning areas. The elaboration in relation to AI is as follows:

Investigating how functions and relations serve as the mathematical underpinnings of machine learning, allowing data to be transformed, models to be defined and optimisation to occur.

Desmos

connorrose3 — 2024-05-31 04:06:56 UTC

Desmos is the overarching selected artefact for this mini-unit. It's most powerful feature is its graphing calculator which provides a mechanism for transformative learning in the context of mathematical functions and relations. It also provides an online learning space called Desmos Classroom which provides interactive activities for students.

ReSolve Lesson Plans for Quadratic Functions

connorrose3 — 2024-05-31 04:10:24 UTC

Another excellent parabola-based lesson plan which incorporates the kinaesthetic learning style. The shape of water from a hose forms a parabolic curve and as the angle of elevation of the hose is changed is will change certain parameters of the parabola that it follows.

Teachers Guide for Quadratics

connorrose3 — 2024-05-31 04:51:40 UTC

A wholly comprehensive document on plotting quadratics as functions ie parabolas. Examples and methods explained in this document will form parts of the mini-unit.

Modelling Projectiles Lesson Plan

connorrose3 — 2024-05-31 10:15:12 UTC

An excellent lesson plan on modelling parabolic motion of projectiles. This will form part of the mini-unit as a kinaesthetic learning task.

How-to content for using CASIO-CG50AU

connorrose3 — 2024-05-31 10:28:53 UTC

A comprehensive website showing students how to correctly use their graphics calculators - fundamentally important for exam taking but will not form much part in the mini-unit as its basis is in understanding quadratics/parabolas themselves. Most schools in QLD prescribe the CASIO-CG50AU.

Completing the Square of a Quadratic

connorrose3 — 2024-05-31 10:37:56 UTC

An alternative post on completing the square of a quadratic - this is useful because this is often the most difficult manipulation of a quadratic for students to understand however it is extremely important and fundamental for plotting parabolas.

Desmos Graphic Calculator

connorrose3 — 2024-05-31 11:37:45 UTC

This is Desmos's most used product - it is free to use and accessible to anyone with an internet connection and doesn't even require an account to use.

Desmos Classroom

connorrose3 — 2024-05-31 11:38:41 UTC

Desmos's online interactive learning space.

Desmos Help Guides

connorrose3 — 2024-05-31 11:46:15 UTC

Comprehensive help guides written by Desmos on how to use their graphing calculator.

Teachers Guide for Quadratic Equations

connorrose3 — 2024-05-31 11:51:12 UTC

A wholly comprehensive document covering the manipulation of quadratics. Examples and methods explained in this document will form parts of the mini-unit.

Graspable

connorrose3 — 2024-05-31 11:55:55 UTC

Graspable is a fantastic interactive maths whiteboard platform - it allows you to enter equations and manipulate them by clicking and dragging terms. It has animations that shows what is actually going on and is an excellent digital aid for those students who struggle with rearranging equations.

Khan Academy

connorrose3 — 2024-05-31 11:57:09 UTC

An online platform for students who are looking for extra help with understanding content.

TikTok

connorrose3 — 2024-05-31 11:59:50 UTC

TikTok has a plethora of videos on every mathematical topic from lower-secondary to university level. The platform appeals massively to students in my demographic and such is the nature of TikTok, its videos on maths are sharp, succinct, engaging and yet informative.

Symbolab

connorrose3 — 2024-05-31 12:04:54 UTC

Symbolab is a powerful mathematical calculator that is based on algorithmic AI. It is a great alternative to ChatGPT for solving and answering questions and provides a step-by-step breakdown of how it manipulates and equation/expression. It is an invaluable resource for students when they don't have access to their teacher.

Blooket

connorrose3 — 2024-05-31 12:05:45 UTC

Blooket is an excellent platform for introducing gamification into the classroom. It has a large base of question sets and a variety of game modes which students find engaging. It also produces a report of a game to show how much students were engaged.

Online Mathematics Platforms

connorrose3 — 2024-05-31 12:07:36 UTC

This article provides a comprehensive but not exhaustive list of good online Mathematics learning platforms.

SAMR

connorrose3 — 2024-05-31 12:40:20 UTC

A youtube video explaining the SAMR model - the underpinning framework for digital pedagogy in the mini-unit.

TPACK

connorrose3 — 2024-05-31 12:42:32 UTC

A youtube video discussing the TPACK model in a classroom.

Bloom's Digital Taxonomy

connorrose3 — 2024-05-31 12:44:39 UTC

Bloom's Taxonomy through the lens of digital technologies.

Bloom's Taxonomy (Original and Revised)

connorrose3 — 2024-05-31 12:46:48 UTC

A detailed description of Bloom's Taxonomy and its applicableness within the classroom.

ChatGPT

connorrose3 — 2024-05-31 12:50:37 UTC

ChatGPT is a powerful resource for students. Students can use ChatGPT to explain concepts to them in a different way than their teacher (me) and it may just help them. ChatGPT is still limited in its ability to solve and manipulate mathematical equations/expression, particularly the unpaid version.

General Capabilities for Other Areas

connorrose3 — 2024-05-31 16:10:08 UTC

This includes an overview of the general capabilities for everything other than digital literacy. These are all relevant however some are difficult to implement in the context of quadratics.

Cross-Curriculum Priorities

connorrose3 — 2024-05-31 16:14:02 UTC

Cross-curriculum priorities support the curriculum to be relevant and reflect national, regional and global contexts. These are difficult to implement for quadratics however some facets of them will feature in the mini-unit.

Classroom Resources for Students

connorrose3 — 2024-05-31 16:22:43 UTC

The classroom resource section published by the eSafety Commissioner (the Commissioner).

Online Safety Classroom Agreement

connorrose3 — 2024-05-31 16:26:16 UTC

This will be an agreement that the students will sign during the mini-unit to ensure they are in full understanding of how to use digital resources legally, safely and ethically.

Role Playing Respect Online

connorrose3 — 2024-05-31 16:29:17 UTC

This is a resource from the Commissioner which sets a lesson plan to educate students about behaving respectfully online. This needs to be understood as students will be making comments on desmos classroom.

Privacy and Security Online

connorrose3 — 2024-05-31 16:31:27 UTC

A worksheet that students will complete to as to ensure they don't share any personal information on the Google Classroom.

Resources on being a Digital Citizen

connorrose3 — 2024-05-31 16:32:51 UTC

A starting point for all information on being a digital citizen.

Google Classroom

connorrose3 — 2024-05-31 16:34:46 UTC

Google Classroom is a successful educational platform used to share resources and information from teachers to students. Google Classroom will be the medium through which students access Desmos classroom and ask questions about it.