№ files_lp_4_process_3_104146
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Exercises on rational functions including finding removable and non-removable discontinuities, determining vertical and horizontal asymptotes, stating the domain, and graphing the functions.
Year:
2026
Subject:
Mathematics
Level:
High School – Honors
Unit:
4
Day:
6
Assignment Type:
Graphing Exercises
Topics:
Rational Equations, Discontinuities, Asymptotes, Domain
Author:
Course Curriculum
Intended Audience:
High School Honors Students
Instructions:
Graph equations, identify asymptotes and points of discontinuity
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The product description is provided for reference. Actual content and formatting may differ slightly.
Year:
2017
Region / City:
Virginia
Topic:
Mathematics, Special Education, Rational Numbers
Document Type:
Educational Resource
Organization:
Virginia Department of Education (VDOE)
Author:
Dr. Sarah Powell
Target Audience:
Educators, Special Education Teachers, Students with Disabilities
Period of Validity:
Ongoing
Approval Date:
Not specified
Date of Changes:
Not specified
Year:
2023
Region / City:
Global
Topic:
Learning Experience Design
Document Type:
Academic Article
Organization / Institution:
N/A
Author:
Honebein, P. C., Reigeluth, C. M.
Target Audience:
Instructional designers, educators, researchers
Period of validity:
N/A
Approval Date:
N/A
Date of Changes:
N/A
Year:
2026
Region / City:
Not specified
Topic:
Rational Developer for System z, PDS, z/OS, Program creation
Document Type:
Technical Guide
Organization / Institution:
IBM
Author:
Not specified
Target Audience:
Developers working with z/OS and RDz
Validity Period:
Not specified
Approval Date:
Not specified
Modification Date:
Not specified
Year:
2013
Region / city:
Gauteng Province
Theme:
Pharmaceuticals, Therapeutics, Rational Medicine Use
Document type:
Educational material
Institution:
Management Sciences for Health (MSH)
Author:
Management Sciences for Health
Target audience:
Healthcare practitioners, policy makers, and managers
Period of validity:
Indefinite
Approval date:
Not specified
Date of changes:
Not specified
Year:
2023
Region / City:
Wuhan, Hubei, P.R. China; Sanya, P.R. China; Tianjin, P.R. China
Subject:
Solid-state Lithium Metal Batteries; Electrochemical Materials; Lithium-Ion Batteries
Document Type:
Research Article
Organization / Institution:
Wuhan University of Technology, Nankai University
Authors:
Feng Tao, Kaijian Yan, Chenxu Dong, Jiajing Wang, Qianmu Pan, Minjian Gong, Jiapei Gu, Chunli Shen, Ruohan Yu, Yuanzhi Jiang, Mingjian Yuan, Cheng Zhou, Meng Huang, Xu Xu, Liqiang Mai
Target Audience:
Researchers in materials science, battery technology, and electrochemistry
Period of Action:
Not specified
Date of Approval:
Not specified
Date of Changes:
Not specified
Subject:
Mathematics
Topic:
Polynomials and Rational Functions
Type of Document:
Assessment Worksheet
Educational Level:
Secondary Education
Calculator Policy:
Scientific calculator permitted
Content Areas:
Factoring, Quadratic Equations, Polynomial Equivalence, Function Modeling, Graph Interpretation, Algebraic Manipulation, Long Division
Mathematical Concepts:
Rectangular Prism Volume, Quadratic Functions, Zero Product Property, Polynomial Expansion
Measurement Units:
Centimeters, Feet, Seconds
Problem Format:
Multiple Choice and Open Response
Year:
N/A
Region / City:
N/A
Topic:
Mathematics
Document Type:
Educational Material
Author:
N/A
Target Audience:
Students learning about rational functions and equations
Period of validity:
N/A
Date of Approval:
N/A
Date of Modification:
N/A
Year:
2026
Course:
Math 4371
Type of Document:
Exam
Institution:
University / College
Target Audience:
Undergraduate mathematics students
Topics:
Polynomials, Rational Functions, Sequences, Graph Analysis, CAS Usage
Format:
Written problems with graphing and sequence tasks
Number of Questions:
Multiple
Skills Tested:
Root finding, factorization, graph interpretation, sequence analysis, derivative and integral identification
Year:
2014
Course:
College Algebra MT 111/MT 211
Module:
III
Topics:
Factoring polynomials, rational expressions, operations on fractions, quadratic trinomials
Type of document:
Learning Material / Study Module
Institution:
ISHRM
Target audience:
College students in algebra courses
Learning objectives:
Enumerate and apply factoring methods, operate on rational expressions, reduce expressions to lowest terms
Included exercises:
Yes, with step-by-step illustrations and practice problems
Date of creation:
2014
Academic period:
Pre-final period
Year:
Not specified
Region / City:
Not specified
Topic:
Rational Functions, Asymptotes
Document Type:
Educational activity
Organization / Institution:
Not specified
Author:
Not specified
Target Audience:
Students learning precalculus
Validity Period:
Not specified
Approval Date:
Not specified
Modification Date:
Not specified
Year:
2026
Region / City:
United States, Florida
Subject:
Mathematics
Document Type:
Lesson Plan / Curriculum Chapter
Organization:
BigIdeasMath.com
Author:
Laurie (Teaching Edition)
Target Audience:
High school students (Grades 9–12)
Standards:
Florida B.E.S.T. Standards for Mathematics MA.912.NSO.1.3, MA.912.NSO.1.5
Period:
Section 5.1–5.3
Duration:
1–3 days per section
Materials:
National Geographic Explorer Video, technology, whiteboards
Vocabulary:
nth root, rational exponent, radical function, cube root, simplest form of a radical, like radicals
Learning Objectives:
Understand and apply rational exponents and radical functions, simplify radical expressions, evaluate expressions and solve equations using radicals
Assessment:
Mini-assessment exercises, self-assessment exercises, Review & Refresh exercises
Year:
2026
Note:
Region / City
Topic:
Mathematics / Rational Numbers
Document Type:
Educational Material
Target Audience:
Students
Context:
Educational material on comparing and ordering rational numbers using different forms and contexts such as percentages and fractions.
Year:
2026
Subject:
Mathematics
Topic:
Rational numbers
Document type:
Educational worksheet
Target audience:
Students
Unit:
2
Skills covered:
Converting rational numbers to decimals and fractions
Instructions:
Simplify all fractions
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)
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