Functions and Their Graphs
Families of functions, composition, inverses and asymptotes
Grade 12
110 tools across 12 subjects.
Nothing here is built yet. Everything on this page is still on the bench.
Math
CCSS-MTrigonometric Identities and Equations
Identities, inverse trig and solving equations
Vectors
Vector quantities, operations and applications
Matrices
Matrix operations and solving systems
Polar Coordinates and Complex Plane
Polar form and graphs; complex numbers in the plane
Conic Sections
Parabolas, ellipses and hyperbolas
Limits and Rates of Change
Intuitive limits and average to instantaneous rate
Exploring Data
Describe distributions and relationships
Sampling and Experiments
Design studies; bias; random assignment
Probability and Random Variables
Probability models, expected value, binomial and geometric
Sampling Distributions
Variation in statistics from sample to sample
Confidence Intervals and Significance Tests
Inference for proportions and means
Chi-Square and Regression Inference
Inference for categorical data and slopes
Limits and Continuity
Limits, continuity and asymptotic behavior
The Derivative
Derivative as rate of change; rules of differentiation
Applications of Derivatives
Related rates, optimization and curve sketching
The Integral
Riemann sums, accumulation and the Fundamental Theorem
Applications of Integrals
Area, volume and motion
Differential Equations
Slope fields and exponential models
English Language Arts
CCSS-ELABritish and World Literature
Shakespeare and major works from British and world traditions
Complex Structure and Ambiguity
How structure choices contribute to meaning and aesthetic impact
Analyzing Complex Explanations
Evaluate structure and effectiveness of an author's argument
Extended Research Project
Self-generated inquiry with sustained research
Formal Presentations
Present a perspective with strategic use of media
Media Literacy
Evaluate sources, bias and persuasion in media
Advanced Vocabulary and Etymology
Etymology, nuance and academic vocabulary
Science
NGSSEcosystems and Biomes
Biomes, energy flow and succession
Population and Resources
Human population growth and resource use
Energy Sources
Renewable and nonrenewable energy tradeoffs
Pollution and Solutions
Air, water and land pollution; engineering solutions
Engineering for Global Challenges
Break down complex problems; evaluate solutions with tradeoffs
Arts
National Core Arts StandardsCritique and Interpretation
Analyze, interpret and evaluate artworks
Two-Point Perspective and Composition
Advanced spatial drawing and composition
Portfolio and Curation
Select, present and curate work
Music Theory
Keys, modulation and analysis
Music History
Medieval to contemporary styles
Composing and Producing
Arrange and produce original music
Theater History and Directing
Theatrical traditions; directing choices
Dance Styles and Criticism
Analyze styles; evaluate performances
Film and Video Production
Storyboarding, shots and editing
Graphic Design
Typography, layout and branding
Health and PE
SHAPE America; National Health Education StandardsNutrition and Fitness Planning
Energy balance and personal plans
First Aid and CPR
Emergency response basics
Accessing Valid Health Information
Evaluate sources, products and services
Mental Health and Wellness
Disorders, stigma and supporting others
Lifetime Fitness
Design and evaluate a personal fitness program
Sportsmanship and Leadership
Responsible behavior and teamwork
Computer Science
CSTA K-12Data Structures and Algorithms
Design and evaluate algorithms for efficiency and correctness
Modular Programs and APIs
Procedures, objects, libraries and documentation
Building and Evaluating AI
Choose AI approaches; evaluate training data and AI output
Simulation and Data Science
Simulate, clean and visualize multivariate data
Networks of Networks
Diagram networks; how the internet works
Cybersecurity
Security measures, breaches, social engineering and fixes
Ethics, Law and Data Policy
Algorithmic bias, data policy and computing law
World Languages and ASL
ACTFL World-Readiness StandardsFingerspelling and the Manual Alphabet
Handshapes for letters; spell names
Greetings and Introductions in ASL
Hello, names, feelings and getting attention appropriately
Numbers, Colors and Time
Number handshapes, colors, days and time signs
The Five Parameters of a Sign
Handshape, location, movement, palm orientation and non-manual markers
Family, Home and School
Everyday vocabulary and simple descriptions
ASL Grammar and Facial Expression
Topic-comment order, questions and non-manual grammar
Classifiers and Space
Using space and classifiers to show location and movement
Deaf Culture and Community
Deaf history, culture, community norms and perspectives
ASL Storytelling and Narrative
Role shift, pacing and visual storytelling
Greetings and Introductions
Hello, names, feelings and courtesy phrases
Numbers, Colors and Calendar
Counting, colors, days, months and weather
Family and Home
Family members, rooms and descriptions
School and Daily Routine
Classes, time and daily activities
Food and Ordering
Foods, likes and dislikes, restaurants
Present Tense Verbs
Regular and irregular present tense
Travel and Directions
Places in town, transportation and directions
Past Tenses
Preterite and imperfect storytelling
Cultures of the Spanish-Speaking World
Countries, traditions and perspectives
Subjunctive and Opinions
Express wishes, doubts and recommendations
Current Events and Debate
Discuss and defend positions on issues
Careers and Finance
Advance CTE Career ClustersEducation and Training Paths
College, apprenticeships, certificates and military
Resumes and Interviews
Build a resume and practice interviewing
Entrepreneurship
Business plans, startup costs and pitching
Engineering and Design Process
Prototype, test and iterate
Healthcare and Human Services Careers
Medical terminology and careers in care
Earning Income and Paychecks
Gross vs net pay, taxes and benefits
Budgeting and Spending
Build a budget; needs vs wants
Saving and Compound Interest
Emergency funds and the power of compounding
Credit and Debt
Credit scores, loans, interest and student debt
Investing Basics
Stocks, bonds, index funds and risk
Insurance and Protecting Yourself
Insurance types; identity theft and scams
Social and Emotional
CASEL frameworkStress and Resilience
Manage stress and build resilience
Leadership and Community
Lead, collaborate and contribute
English Learners
WIDA ELD Standards Framework (2020)Academic Argument
Build and counter an argument in writing and speech
Precise Mathematical Language
Definitions, conditions and justification
Explaining Models and Data
Describe models, graphs and trends
Analyzing Historical Arguments
Language of causation, evidence and evaluation
College and Career Language
Emails, interviews and formal registers
Library and Research
AASL National School Library Standards (2018)Databases and Advanced Search
Academic databases, Boolean search and primary sources
Citation, Copyright and Fair Use
Citation styles, plagiarism, copyright and Creative Commons
Social Studies
C3 FrameworkFoundations of Government
Purposes and theories of government; founding principles
The Constitution and Federalism
Separation of powers, checks and balances, federalism
Congress, the President and the Courts
How the three branches work
Civil Rights and Liberties
Bill of Rights and landmark Supreme Court cases
Elections, Parties and Media
Voting, campaigns, interest groups and public opinion
Civic Action
Local government and how citizens make change
Scarcity and Choice
Opportunity cost and economic systems
Supply and Demand
Markets, prices and equilibrium
Market Structures and Business
Competition, monopolies and firms
Macroeconomics
GDP, inflation, unemployment and the business cycle
Money and the Federal Reserve
Banking, monetary and fiscal policy
Global Trade
Comparative advantage, exchange rates and trade policy
Brain and Behavior
Neurons, brain structures and the nervous system
Sensation, Perception and Memory
How we sense, perceive and remember
Learning and Development
Conditioning and lifespan development
Social Psychology and Mental Health
Group behavior, personality and psychological disorders