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Curriculum unit plan outlining learning outcomes, lesson sequence, assessment strategies and glossary for teaching graph transformations and graphical modelling in Year 12 Mathematics Advanced under the NSW Education Standards Authority syllabus.
Course:
Year 12 Mathematics Advanced
Unit Code:
MA-F2
Unit Title:
Graphing Techniques
Unit Duration:
2 weeks
Subtopic Focus:
Transformations of graphs; Applying graphical techniques
Syllabus Source:
Mathematics Advanced Syllabus © NSW Education Standards Authority (NESA) 2017
Jurisdiction:
New South Wales, Australia
Subject Area:
Mathematics
Topic:
Functions and Graphical Techniques
Prerequisite Knowledge:
MA-F1 basic functions and algebraic techniques; MA-E1 exponential and logarithmic functions
Assessment Strategies:
Formative assessment using online graphing tools and pen-and-paper investigations and proofs
Learning Outcomes:
MA12-1, MA12-9, MA12-10
Key Concepts:
transformations, asymptotes, continuous function, discontinuity, dilation, break-even point
Teaching Resources:
Graphing software, Desmos templates and activity builder
Lesson Sequence:
Transformations of graphs (3–4 lessons); Applying graphical techniques (2 lessons)
Intended Audience:
Year 12 Mathematics Advanced students
Price: 8 / 10 USD
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The product description is provided for reference. Actual content and formatting may differ slightly.
Year:
Not specified
Region / City:
Not specified
Topic:
Atomic radius, electronegativity, ionization energy, periodic trends
Document type:
Educational material
Author:
Not specified
Target audience:
Students studying chemistry
Effective date:
Not specified
Modification date:
Not specified
Context:
Educational material for students to analyze periodic trends using graphs based on the periodic table.
Year:
2022
Region / City:
New South Wales
Subject:
Mathematics
Document Type:
Educational Activity
Institution:
NSW Education Standards Authority
Author:
NSW Education Standards Authority
Target Audience:
Students, Teachers
Period of Activity:
2022
Approval Date:
2022
Date of Changes:
N/A
Year:
2010
Region / City:
United States
Topic:
Crime Statistics and Data Analysis
Document Type:
Report
Organization / Institution:
FBI
Author:
Jessica Montes
Target Audience:
Students, Professionals in Data Analysis
Effective Period:
2000–2013
Approval Date:
Not specified
Date of Changes:
Not specified
Year:
2025
Region / City:
United States
Topic:
Diabetes, Obesity, Data Analysis
Document Type:
Project Report
Organization / Institution:
Bryant & Stratton College
Author:
Aisha A. Tate
Target Audience:
Healthcare professionals, students in healthcare administration
Period of Validity:
2014-2015
Approval Date:
April 3, 2025
Date of Changes:
None
Subject:
Mathematics
Topic:
Simultaneous linear equations
Focus:
Graphical method and point of intersection
Curriculum:
Mathematics K–10 Syllabus
Authority:
NSW Education Standards Authority (NESA)
Jurisdiction:
New South Wales
Year:
2022
Intended audience:
Students
Learning intentions:
Graphically find the point of intersection of simultaneous linear equations
Success criteria:
Read and write coordinates on the Cartesian plane; interpret gradient, intercepts and intersection
Activities included:
Think-Pair-Share; Desmos classroom tasks; Polygraph: Linear systems; worksheet tasks
Assessment type:
Formative and summative assessment opportunities
Digital tools:
Desmos classroom activities
Appendices:
Appendix A – The Tortoise and the Hare; Appendix B – Putting it all together
Related codes:
MAO-WM-01; MA5-EQU-P-02; MA5-LIN-C-01; MA5-LIN-C-02
Assessment Type:
Skill and Application Folio Task
Task Type:
Formative task
Focus:
Practical skills and terminology – Graphing
Subject Area:
Nutrition and Food Studies
Content:
Iron content and energy value of foods; recommended intake of bone-related nutrients (1998 data); nutritional analysis of non-dairy milk substitutes
Data Sources:
Understanding Nutrition 3rd Ed. (p. 461); Food, Nutrition, and Diet Therapy 11th Ed. (p. 650); Food & Nutrition 2019 v1.1 IA3 high-level annotated sample response QCAA (PDF)
Geographical Reference:
USA; Australia (Australian Bureau of Statistics – ABS)
Nutrients Covered:
Iron; Calcium; Phosphorus; Magnesium; Vitamin D; Fluoride; Protein; Fat; Carbohydrates; Sugars
Food Categories:
Vegetables; Fruits; Meat; Dairy products; Non-dairy milk alternatives
Educational Level:
Secondary education (Food & Nutrition)
Data Period:
1998 data (recommended intake table)
Year:
2017
Region / City:
U.S.
Topic:
Health Statistics, Diabetes, Obesity
Document Type:
Report
Author:
Jasmine Beckley, Garnett Loria
Target Audience:
Medical students, healthcare professionals, general public
Period of Action:
1984-2014
Date of Approval:
Not specified
Date of Changes:
Not specified
Year:
2021
Region / City:
N/A
Topic:
Physics, Motion Graphs
Document Type:
Educational Lab Activity
Author:
PASCO
Target Audience:
High school or college physics students
Period of Use:
N/A
Approval Date:
N/A
Modification Date:
N/A
Year:
N/A
Region / City:
N/A
Topic:
Graphing Inequalities, Linear Inequalities, Movie Theater Sales
Document Type:
Educational Resource
Author:
N/A
Target Audience:
Students, Educators
Period of Validity:
N/A
Date of Approval:
N/A
Date of Changes:
N/A
Document Type:
Reflective statement
Subject:
Mathematics education
Topic:
Graphing technology and quadratic functions
Educational Level:
Secondary education
Author:
Not specified
Intended Audience:
Mathematics students
Key Concepts:
Parabolas, variables a b c, roots of equations, axis of symmetry, real and non-real roots, graph comparison
Technology Referenced:
Graphing software with slider tool
Purpose:
Classroom demonstration and student exploration of quadratic graphs
Year:
2026
Subject:
Mathematics
Topic:
Quadratic Functions and Graphing
Document Type:
Study Guide / Review Sheet
Course:
Algebra I
Unit:
3B
Intended Audience:
High School Students
Skills Covered:
Graphing, Transformations, Vertex and Standard Form, Average Rate of Change, Solving Quadratics and Quadratic Inequalities
Date Created:
2026-03-12
Note:
Year
Topic:
Mathematics / Graphing Linear Equations
Document Type:
Educational Material
Target Audience:
Students, Educators
Year:
2023
Region / City:
Not specified
Subject:
Mathematics
Document Type:
Educational assignment
Organization / Institution:
Not specified
Author:
Not specified
Target Audience:
Students
Period of Action:
Not specified
Date of Approval:
Not specified
Date of Changes:
Not specified
Year:
2026
Region / City:
Not specified
Subject:
Data Visualization in Science
Document Type:
Educational Guide
Institution / Organization:
Not specified
Author:
Not specified
Target Audience:
Students or beginner scientists
Graph Types:
Column graphs, Line graphs
Variables:
Independent, Dependent
Data Types:
Discrete, Continuous
Key Features:
Axis labels, Scale, Title, Data pairs, Line of best fit
Checklist Included:
Yes
Year:
2026
Subject:
Mathematics
Type:
Educational material
Level:
High school
Chapter:
4.1
Topics:
Linear inequalities, solution sets, graphing, applications
Objectives:
Graphing solution sets, solving linear inequalities, solving applied problems
Examples included:
Yes
Target audience:
Students learning algebra
Skills developed:
Algebraic reasoning, inequality manipulation, problem solving
Year:
2021
Region:
New South Wales
Document Type:
Policy guidance / template
Applicable Policies:
Aboriginal Procurement Policy, SME and Regional Procurement Policy
Target Audience:
Suppliers bidding for contracts above $3 million
Contract Thresholds:
Goods and services contracts $3–7.5 million, over $7.5 million, construction contracts over $7.5 million
Reporting Requirements:
Quarterly reporting on plan progress
Agency:
Relevant NSW government contracting agencies
Issue Date:
June 21, 2018
Document Type:
Request for Information
Issuing Authority:
NSW Procurement, Department of Finance, Services and Innovation
Jurisdiction:
New South Wales, Australia
Confidentiality:
Commercial-in-confidence
Submission Method:
Electronic submission via NSW Government eTendering system
Submission Platform:
NSW Department of Finance, Services and Innovation tenders website
Contact Address:
Level 11, McKell Building, 2–24 Rawson Place, Sydney NSW 2000
Contact Phone:
1800 679 289
TTY:
1300 301 181
Year:
2023
Region / City:
New South Wales
Topic:
Domestic and Family Violence, Aboriginal Communities, Artwork Commissioning
Document Type:
Call for Applications
Organization:
Department of Communities and Justice (NSW)
Author:
NSW Aboriginal Domestic Family & Sexual Violence Plan
Target Audience:
Aboriginal Women, Aboriginal and Torres Strait Islander Artists
Period of Validity:
Until 28/03/2025
Approval Date:
16/01/2025
Date of Changes:
N/A
Document type:
Administrative form
Subject area:
Health ethics and governance
Jurisdiction:
New South Wales, Australia
Issuing body:
NSW Health
Related guideline:
GL2007_020 Quality Improvement & Ethical Review: A Practice Guide for NSW
Applicable activities:
Quality Assurance and Quality Improvement projects
Review pathway:
SESLHD Research Office and Low and Negligible Risk Ethics Committee
Target users:
Health professionals undertaking QA/QI activities
Submission method:
Email to SESLHD Research Office
Sections included:
Ethical Risks Checklist, Project Summary, Risk Management
Form parts:
Part A and Part B
Governing policy framework:
NSW Health ethics review policy
Year:
2023
Region / city:
New South Wales, Australia
Topic:
Governance
Document type:
Charter
Organization / institution:
RSL NSW Board
Author:
RSL NSW Board
Target audience:
Board Members, RSL NSW members
Effective date:
24 August 2023
Review date:
August 2025
Approval date:
Approved
Version:
5.0