№ files_lp_3_process_7_071047
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Curriculum framework outlining Algebra 1 content standards, mathematical practices, unit focuses, learning goals, and aligned open educational resources for instruction in linear, exponential, quadratic, polynomial, and statistical modeling.
Subject:
Algebra 1
Grade Level:
9–10
Course Structure:
Four instructional units
Unit 1 Title:
Modeling with Linear Equations and Inequalities
Unit 2 Title:
Modeling with Linear Functions, Linear Systems, and Exponential Functions
Unit 3 Title:
Quadratic Equations, Functions, and Polynomials
Unit 4 Title:
Modeling with Statistics
Standards Framework:
Standards for Mathematical Content; Standards for Mathematical Practice
Content Standards Referenced:
N.Q.A.1–3; A.REI.A–D; A.CED.A; A.SSE.A–B; F.IF.A–C; F.LE.A–B; F.BF.A–B; A.APR.A–B; N.RN.B; S.ID.A–C
Mathematical Practices:
MP.1–MP.8
Document Type:
Curriculum overview and standards alignment guide
Components:
Unit focus statements; content and practice standards; critical knowledge and skills; learning goals; suggested open educational resources
Learning Goal (Unit 1):
Solve multi-step problems using units, interpret units in formulas, choose appropriate accuracy, and develop descriptive models by defining quantities
Instructional Resources:
Suggested Open Educational Resources aligned to specific standards
Assessment Focus:
Conceptual understanding, procedural fluency, modeling, and reasoning
Price: 8 / 10 USD
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Year:
2022
Region:
New South Wales, Australia
Subject:
Mathematics
Topic:
Quadratic equations
Curriculum:
Mathematics K–10 Syllabus
Syllabus outcomes:
MAO-WM-01; MA5-EQU-P-01; MA5-EQU-P-02; MA5-NLI-P-01
Education level:
Secondary education
Type of document:
Lesson plan
Teaching strategies:
Think-Pair-Share; Variation Theory; Pose-Pause-Pounce-Bounce; visibly random grouping
Learning focus:
Solving quadratic equations; factorisation; x-intercepts of parabolas
Associated materials:
PowerPoint presentation; Appendix A; Appendix B
Authoring body:
NSW Education Standards Authority (NESA)
Copyright holder:
State of New South Wales
Note:
Year
Subject:
Mathematics
Type of Document:
Educational material
Target Audience:
Students
Year:
2026
Region / City:
Southern Alberta, Vancouver
Theme:
Quadratic Functions, Algebra
Document Type:
Educational Material
Institution:
Math 20-2
Author:
Not specified
Target Audience:
Students of Algebra
Period of Action:
Ongoing
Approval Date:
Not specified
Date of Changes:
Not specified
Note:
Contextual description
Year:
2024
Region / city:
New South Wales
Subject:
Mathematics
Document type:
Lesson plan
Institution:
NSW Education Standards Authority (NESA)
Author:
Not specified
Target audience:
Students, educators
Period of validity:
2024
Approval date:
Not specified
Date of amendments:
Not specified
Year:
1986
Topic:
Quadratic Functions
Document Type:
Educational Material
Author:
Not specified
Target Audience:
Students learning about quadratic functions
Period:
Not specified
Date of Approval:
Not specified
Date of Changes:
Not specified
Year:
2026
Region / City:
Not specified
Topic:
Physics / Mathematics
Document Type:
Instructional Guide
Organization / Institution:
Not specified
Author:
Not specified
Target Audience:
Students, Educators
Period of Validity:
Not specified
Approval Date:
Not specified
Date of Changes:
Not specified
Subject:
Mathematics
Form:
4 Al-Farabi
Date:
23rd Mei 2014 (Tuesday)
Time:
10 minutes
Topic:
Chapter 3 : Quadratic Functions
Sub-Topic:
3.1 : Quadratic Functions and Their Graphs
General Objective:
Understand the concept of quadratic functions and their graphs
Specific Objectives:
At the end of this lesson, students should be able to recognize quadratic functions, recognize shapes of graphs of quadratic functions, and find the value at parabola’s vertex
Lesson Content:
General form of quadratic functions; shape of quadratic functions as parabola; condition of a > 0 and a < 0; completing the square method to determine vertex
Reference:
Textbook: Additional Mathematics Form 4; Additional Mathematics SPM (Fajar Bakti)
Inculcation of Values:
Self interest, Courage, Proactive, Motivated
Teaching Materials:
Whiteboard, Marker, Textbook, Worksheets
Activities:
Set Induction, Lesson Development, Conclusion, Evaluation, Follow up Activities
Homework:
Exercises from textbook and workbook
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
Type of Document:
Educational Curriculum / Lesson Plan
Grade Level:
Algebra 2
Sections:
6.1–6.9
Learning Objectives:
Writing, factoring, and solving quadratic equations; completing the square; quadratic formula; complex numbers; discriminant analysis
Author/Institution:
Not specified
Intended Audience:
High school students
Format:
Lesson summaries with learning targets
Skills Focused:
Equation manipulation, graphing, problem solving, understanding complex numbers
Year:
2026
Subject:
Mathematics
Grade Level:
High School
Topics:
Algebraic expressions, Linear equations, Quadratic equations, Exponential equations, Data analysis, Word problems
Document Type:
Study guide
Author:
Not specified
Intended Audience:
Students preparing for End-of-Course exams
Units Covered:
Unit 1 – Algebraic expressions; Unit 2 – Linear equations; Unit 3 – Quadratic equations; Unit 4 – Exponential equations; Unit 5 – Comparing functions; Unit 6 – Describing data
Skills Emphasized:
Simplifying expressions, graphing functions, solving equations, analyzing data, comparing functions
Mathematical Tools:
Formulas for area and perimeter, sequences, regression equations, frequency tables
Key Features:
Step-by-step instructions, examples of problem types, unit-specific formulas and definitions
Year:
2026
Subject:
Mathematics
Topic:
Quadratic Equations
Type of Document:
Educational Notes
Target Audience:
Students
Chapter:
4.6
Methods Covered:
Solving by Square Roots, Perfect Trinomial, Completing the Square, Vertex Form
Subject:
Algebra
Topic:
Quadratic functions and parabolas
Mathematical concepts:
Parabola stretching, translation, vertex form, standard form, zeros of quadratic functions, factored form
Document type:
Mathematics practice worksheet
Structure:
Four problems with exploratory questions and graphing tasks
Software referenced:
TI Graphing Calculator Transformation Graphing application (Transfrm)
Graphing tools mentioned:
TI graphing calculator Y= editor, ZStandard window, CALC Zero function
Educational level:
Secondary school algebra
Number of tasks:
19 questions
Main equations discussed:
y = x², y = ax² + bx + c, y = a(x – h)² + k
Activities included:
Graph exploration, parameter manipulation, vertex identification, graphical zero finding, equation construction
Institution:
The CitySchool North Nazimabad Boys Campus
Date:
11-02-2017
Class:
9-S
Subject:
Mathematics
Topic:
Quadratic Word Problems
Teacher:
Sheema Aftab
Document Type:
Mathematics worksheet
Educational Level:
Secondary school
Content Structure:
Numbered problem set
Number of Problems:
15
Main Concepts:
Quadratic equations, factoring, equal roots condition, algebraic word problems, geometry applications, work and rate problems
Intended Audience:
Class 9 students
Subject:
Analytic Geometry
Topic:
Characteristics of Quadratic Functions
Document Type:
Educational Worksheet
Educational Level:
Secondary School Mathematics
Mathematical Concepts:
Quadratic Functions, Domain and Range, Vertex, Axis of Symmetry, Intervals of Increase and Decrease, End Behavior, Intercepts
Function Forms Covered:
Standard Form, Vertex Form
Activities Included:
Graphing Quadratic Functions, Identifying Key Characteristics, Interval Notation Practice
Examples Provided:
f(x)=x², f(x)=x²+2x−3, f(x)=(x−4)(x+2), f(x)=x²−4, f(x)=x²−6x+5
Student Field:
Name
Year:
2026
Region / City:
Not specified
Subject:
Mathematics
Document Type:
Educational guide
Institution / Organization:
Not specified
Author:
Not specified
Target Audience:
Students and learners of algebra
Method:
Completing the square
Examples Included:
Yes
Mathematical Concepts:
Quadratic functions, vertex, steepness
Year:
Not specified
Region / City:
Not specified
Topic:
Mathematics / Algebra
Document Type:
Educational Activity
Institution:
Not specified
Author:
Not specified
Target Audience:
Students (Algebra 2, Precalculus)
Effective Date:
Not specified
Modification Date:
Not specified
Year:
11
Region / City:
Australia
Topic:
Exponential Functions
Type of Document:
Educational resource
Institution:
Australian Curriculum
Author:
Not specified
Target Audience:
Students studying Mathematical Methods
Period of Validity:
Not specified
Date of Approval:
Not specified
Date of Changes:
Not specified
Year:
2013
Type of document:
Educational material / Practice problems
Subject:
Mathematics, Exponential and Logarithmic Functions
Source:
MyOpenMath and OpenStax College Algebra
Target audience:
Students studying college-level algebra
Topics covered:
Half-life calculations, Newton’s law of cooling, Moore’s Law, population growth, compound interest
Document format:
Problem set with solutions
Course:
AP Calculus AB
Unit:
Unit 2: Differentiation: Definition and Fundamental Properties
Assessment:
Unit 2 Progress Check FRQ Part A and B
Target:
Target 7: Derivative: Other Functions
Topic:
Exponential, Logarithmic, Trigonometric and Inverse Trigonometric Functions
Type of document:
Mathematics worksheet and assessment
Educational level:
Advanced Placement high school calculus
Skills assessed:
Calculation of derivatives, product and quotient rule, chain rule, logarithmic differentiation, tangent lines, related rates
Functions covered:
Exponential functions, logarithmic functions, trigonometric functions, inverse trigonometric functions
Additional topics:
Antiderivatives, perpendicular slopes, particle motion, exponential growth model
Response format:
Free response and derivative computation
Graphing requirement:
Show graph for stamp
Year:
1948, 1958, 1968, 1978, 1988
Cost of Movie Ticket:
$0.36, $0.68, $1.22, $2.37, $4.11
Data source:
http://natoonline.org/data/ticket-price/
Topic:
Exponential growth, regression analysis
Type of document:
Educational material
Intended audience:
Students studying regression and data transformation
Period of use:
Ongoing
Date of creation:
Not specified
Date of modification:
Not specified