Education for Life: The Subject of Math

Education for Life: The Subject of Math

teaching math, teaching arithmetic, teaching algebra, teaching calculous, teaching calculations, teaching geometry, teaching trigonometry, teaching architecture, teaching engineering, teaching addition, teaching subtraction, learning math, learning arithmetic, learning algebra, learning calculous, learning calculations, learning geometry, learning trigonometry, learning architecture, learning engineering, learning addition, learning subtraction, the Education for Life Program, creative kids, artistic kids, art in the context of, music in the context of, One Community education, open source education, One Community school

The Subject of Math – Click to Enlarge

This page is a free-shared non-linear educational subject outline for Math. It is purposed for use in community education environments, homeschool environments, traditional schooling environments, or as a supplemental and fun addition to any education program. As part of the complete Education for Life Program, this subject outline is specifically designed to work in conjunction with the other components: Foundations of Teaching, Curriculum, Lesson Plans for Life, Teaching Strategies, Learning Tools and Toys, Evaluation Model, and The Ultimate Classroom. If you’d like to learn how all these components work together, click here.

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Further integration specifically with the Khan Academy Math Program is in progress.

NOTE: The colors are provided as a possible linear progression (red/easiest to violet/most challenging) for people that might prefer a more linear structure. Our core philosophy is that through creativity every color can be made easy or challenging for any learning level.

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RED

NOTE: The colors are provided as a possible linear progression (red/easiest to violet/most challenging) for people that might prefer a more linear structure. Our core philosophy is that through creativity every color can be made easy or challenging for any learning level.
Compare numbers
  • Compare numbers
  • Know number names and the count sequence
  • Count to tell the number of objects
Understand subtraction as taking apart & taking from
  • Understand subtraction as taking apart & taking from
  • Subtracting within 20
  • Subtracting within 100
Understand addition as putting together & adding to
  • Understand addition as putting together & adding to
  • Classify objects and count the number of objects in different categories
  • Adding within 20
  • Adding within 100
Work with numbers 11–19 to gain foundations for place value.
  • Work with numbers 11–19 to gain foundations for place value
Describe and compare measurable attributes
  • Describe and compare measurable attributes using both the metric and the English measuring systems
  • Measuring temperature, weight, volume, height, length, width, etc.
Tell and write time
  • Tell and write time
shapes
  • Identify 2 dimensional shapes and reason with and recognize their attributes
Reason with shapes and their attributes, shapes
  • Identify different 3 dimensional objects and reason with and recognize their attributes

 

ORANGE

NOTE: The colors are provided as a possible linear progression (red/easiest to violet/most challenging) for people that might prefer a more linear structure. Our core philosophy is that through creativity every color can be made easy or challenging for any learning level.
Represent and solve problems involving addition and subtraction
  • Represent and solve problems involving addition and subtraction
  • Add and subtract within 20
Understand and apply units of measurement
  • Understand and apply units of measurement
  • Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit
equal groups of objects to gain foundations for multiplication
  • Work with equal groups of objects to gain foundations for multiplication
Measure and estimate lengths in standard units
  • Measure and estimate lengths in standard units
  • Relate addition and subtraction to length
 Use place value understanding and properties of operations to perform multi-digit arithmetic
  • Use place value understanding and properties of operations to perform multi-digit arithmetic
Develop understanding of fractions as numbers
  • Develop understanding of fractions as numbers
  • Extend understanding of fraction equivalence and ordering
  • Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers
  • Understand decimal notation for fractions, and compare decimal fractions
Geometric measurement: concepts of area & relate area to multiplication & addition.
  • Solve problems involving measurement & estimation of intervals of time, liquid volumes, & masses of objects
  • Geometric measurement: concepts of area & relate area to multiplication & addition
Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.
  • Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures
  • Use the four operations with whole numbers to solve problems
Gain familiarity with factors and multiples
  • Gain familiarity with factors and multiples
Generalize place value understanding for multi-digit whole numbers
  • Understand place value
  • Generalize place value understanding for multi-digit whole numbers
  • Use place value understanding and properties of operations to add and subtract
Geometric measurement: understand concepts of angle and measure angles
  • Geometric measurement: understand concepts of angle and measure angles
Draw and identify lines and angles, and classify shapes by properties of their lines and angles
  • Draw and identify lines and angles, and classify shapes by properties of their lines and angles
teaching math, teaching arithmetic, teaching algebra, teaching calculous, teaching calculations, teaching geometry, teaching trigonometry, teaching architecture, teaching engineering, teaching addition, teaching subtraction, learning math, learning arithmetic, learning algebra, learning calculous, learning calculations, learning geometry, learning trigonometry, learning architecture, learning engineering, learning addition, learning subtraction, the Education for Life Program, creative kids, artistic kids, art in the context of, music in the context of, One Community education, open source education, One Community school
  • Multiply and divide within 100
  • Represent and solve problems involving multiplication and division
  • Solve problems involving the four operations; identify and explain patterns
  • Understand properties of multiplication & the relationship between multiplication & division
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  • Generate and analyze patterns
teaching math, teaching arithmetic, teaching algebra, teaching calculous, teaching calculations, teaching geometry, teaching trigonometry, teaching architecture, teaching engineering, teaching addition, teaching subtraction, learning math, learning arithmetic, learning algebra, learning calculous, learning calculations, learning geometry, learning trigonometry, learning architecture, learning engineering, learning addition, learning subtraction, the Education for Life Program, creative kids, artistic kids, art in the context of, music in the context of, One Community education, open source education, One Community school
  • Begin to plot coordinates and understand the basics of a graph
teaching math, teaching arithmetic, teaching algebra, teaching calculous, teaching calculations, teaching geometry, teaching trigonometry, teaching architecture, teaching engineering, teaching addition, teaching subtraction, learning math, learning arithmetic, learning algebra, learning calculous, learning calculations, learning geometry, learning trigonometry, learning architecture, learning engineering, learning addition, learning subtraction, the Education for Life Program, creative kids, artistic kids, art in the context of, music in the context of, One Community education, open source education, One Community school
  • Begin calculating currency conversions and other complex problems with money
  • Work with time and money

 

YELLOW

NOTE: The colors are provided as a possible linear progression (red/easiest to violet/most challenging) for people that might prefer a more linear structure. Our core philosophy is that through creativity every color can be made easy or challenging for any learning level.
Write and interpret numerical expressions
  • Write and interpret numerical expressions
Analyze patterns and relationships
  • Analyze patterns and relationships
Perform operations with multi-digit whole numbers and with decimals to hundredths
  • Perform operations with multi-digit whole numbers and with decimals to hundredths
Use equivalent fractions as a strategy to add and subtract fractions.
  • Use equivalent fractions as a strategy to add and subtract fractions
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
  • Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Measurement: understand concepts of volume & relate volume to multiplication & to addition
  • Measurement: understand concepts of volume & relate volume to multiplication & to addition
Graph points on the coordinate plane to solve real-world and mathematical problems.
  • Graph points on the coordinate plane to solve real-world and mathematical problems
math-yellow-categories
  • Classify two-dimensional figures into categories based on their properties
Convert like measurement units within a given measurement system.
  • Convert like measurement units within a given measurement system
Understand ratio concepts and use ratio reasoning to solve problems.
  • Understand ratio concepts and use ratio reasoning to solve problems
Apply & extend understandings of multiplication & division to divide fractions by fractions.
  • Apply & extend understandings of multiplication & division to divide fractions by fractions
Compute fluently with multi-digit numbers and find common factors and multiples.
  • Compute fluently with multi-digit numbers and find common factors and multiples
Apply and extend previous understandings of numbers to the system of rational numbers.
  • Apply and extend previous understandings of numbers to the system of rational numbers
Reason about and solve one-variable equations and inequalities
  • Reason about and solve one-variable equations and inequalities
Represent and analyze quantitative relationships between dependent and independent variables
  • Represent and analyze quantitative relationships between dependent and independent variables
Solve real-world and mathematical problems involving area, surface area, and volume
  • Solve real-world and mathematical problems involving area, surface area, and volume
Develop understanding of statistical variability
  • Develop understanding of statistical variability
Summarize and describe distributions
  • Summarize and describe distributions
teaching math, teaching arithmetic, teaching algebra, teaching calculous, teaching calculations, teaching geometry, teaching trigonometry, teaching architecture, teaching engineering, teaching addition, teaching subtraction, learning math, learning arithmetic, learning algebra, learning calculous, learning calculations, learning geometry, learning trigonometry, learning architecture, learning engineering, learning addition, learning subtraction, the Education for Life Program, creative kids, artistic kids, art in the context of, music in the context of, One Community education, open source education, One Community school
  • Apply & extend understandings of multiplication & division to divide fractions by fractions within equations with variables
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  • Begin to understand and apply the relationship between fractions and decimals
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  • Begin to understand how to read formulas
teaching math, teaching arithmetic, teaching algebra, teaching calculous, teaching calculations, teaching geometry, teaching trigonometry, teaching architecture, teaching engineering, teaching addition, teaching subtraction, learning math, learning arithmetic, learning algebra, learning calculous, learning calculations, learning geometry, learning trigonometry, learning architecture, learning engineering, learning addition, learning subtraction, the Education for Life Program, creative kids, artistic kids, art in the context of, music in the context of, One Community education, open source education, One Community school
  • Apply and extend previous understandings of arithmetic to algebraic expressions

 

GREEN

NOTE: The colors are provided as a possible linear progression (red/easiest to violet/most challenging) for people that might prefer a more linear structure. Our core philosophy is that through creativity every color can be made easy or challenging for any learning level.
Analyze proportional relationships and use them to solve real-world and mathematical problems
  • Analyze proportional relationships and use them to solve real-world and mathematical problems
Use properties of operations to generate equivalent expressions
  • Use properties of operations to generate equivalent expressions
Solve real-life and mathematical problems using numerical and algebraic equations
  • Solve real-life and mathematical problems using numerical and algebraic equations
Solve real-life & math problems involving angle measure, area, surface area, & volume
  • Draw, construct & describe geometrical figures & describe relationships between them
Use random sampling to draw inferences about a population
  • Use random sampling to draw inferences about a population
Draw informal comparative inferences about two populations
  • Draw informal comparative inferences about two populations
Investigate chance processes and develop, use, and evaluate probability models
  • Investigate chance processes and develop, use, and evaluate probability models
Know that there are numbers that are not rational & approximate them by rational numbers
  • Know that there are numbers that are not rational & approximate them by rational numbers
Work with radicals and integer exponents
  • Work with radicals and integer exponents
Understand the connection between proportional relationships, lines, & linear equations
  • Understand the connection between proportional relationships, lines, & linear equations
Analyze and solve linear equations and pairs of simultaneous linear equations
  • Analyze and solve linear equations and pairs of simultaneous linear equations
Define, evaluate, and compare functions
  • Define, evaluate, and compare functions
  • Use functions to model relationships between quantities
Understand congruence & similarity using physical models, transparencies, or geometry software.
  • Understand congruence & similarity using physical models, transparencies, or geometry software
Understand and apply the Pythagorean Theorem
  • Understand and apply the Pythagorean Theorem
Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres
  • Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres
  • Investigate patterns of association in bivariate data
Extend the properties of exponents to rational exponents
  • Extend the properties of exponents to rational exponents
 Use properties of rational and irrational numbers
  • Use properties of rational and irrational numbers
Reason quantitatively and use units to solve problems
  • Reason quantitatively and use units to solve problems
  • Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers
Interpret the structure of expressions
  • Interpret the structure of expressions
  • Write expressions in equivalent forms to solve problems
Perform arithmetic operations on polynomials
  • Perform arithmetic operations on polynomials
Create equations that describe numbers or relationships
  • Create equations that describe numbers or relationships
  • Understand solving equations as a process of reasoning and explain the reasoning
Solve equations and inequalities in one variable
  • Solve equations and inequalities in one variable
Solve systems of equations
  • Solve systems of equations
Represent and solve equations and inequalities graphically
  • Represent and solve equations and inequalities graphically
teaching math, teaching arithmetic, teaching algebra, teaching calculous, teaching calculations, teaching geometry, teaching trigonometry, teaching architecture, teaching engineering, teaching addition, teaching subtraction, learning math, learning arithmetic, learning algebra, learning calculous, learning calculations, learning geometry, learning trigonometry, learning architecture, learning engineering, learning addition, learning subtraction, the Education for Life Program, creative kids, artistic kids, art in the context of, music in the context of, One Community education, open source education, One Community school
  • Represent & calculate simple probabilities with equations
teaching math, teaching arithmetic, teaching algebra, teaching calculous, teaching calculations, teaching geometry, teaching trigonometry, teaching architecture, teaching engineering, teaching addition, teaching subtraction, learning math, learning arithmetic, learning algebra, learning calculous, learning calculations, learning geometry, learning trigonometry, learning architecture, learning engineering, learning addition, learning subtraction, the Education for Life Program, creative kids, artistic kids, art in the context of, music in the context of, One Community education, open source education, One Community school
  • Calculate surface areas and volumes of 3d geometric shapes
teaching math, teaching arithmetic, teaching algebra, teaching calculous, teaching calculations, teaching geometry, teaching trigonometry, teaching architecture, teaching engineering, teaching addition, teaching subtraction, learning math, learning arithmetic, learning algebra, learning calculous, learning calculations, learning geometry, learning trigonometry, learning architecture, learning engineering, learning addition, learning subtraction, the Education for Life Program, creative kids, artistic kids, art in the context of, music in the context of, One Community education, open source education, One Community school
  • Begin working with and understanding irrational numbers
teaching math, teaching arithmetic, teaching algebra, teaching calculous, teaching calculations, teaching geometry, teaching trigonometry, teaching architecture, teaching engineering, teaching addition, teaching subtraction, learning math, learning arithmetic, learning algebra, learning calculous, learning calculations, learning geometry, learning trigonometry, learning architecture, learning engineering, learning addition, learning subtraction, the Education for Life Program, creative kids, artistic kids, art in the context of, music in the context of, One Community education, open source education, One Community school
  • Understand and use irrational numbers

 

BLUE

NOTE: The colors are provided as a possible linear progression (red/easiest to violet/most challenging) for people that might prefer a more linear structure. Our core philosophy is that through creativity every color can be made easy or challenging for any learning level.
 Understand the concept of a function and use function notation
  • Understand the concept of a function and use function notation
  • Interpret functions that arise in applications in terms of the context
  • Analyze functions using different representations
  • Build a function that models a relationship between two quantities
  • Build new functions from existing functions
  • Interpret expressions for functions in terms of the situation they model
Summarize, represent, and interpret data on a single count or measurement variable
  • Summarize, represent, and interpret data on a single count or measurement variable
  • Summarize, represent, and interpret data on two categorical and quantitative variables
Interpret linear models
  • Interpret linear models
 Perform arithmetic operations with complex numbers
  • Perform arithmetic operations with complex numbers
Use complex numbers in polynomial identities and equation
  • Use complex numbers in polynomial identities and equation
 Understand the relationship between zeros and factors of polynomials
  • Understand the r single count or measurement variable
 Use polynomial identities to solve problems
  • Use polynomial identities to solve problems
Extend the domain of trigonometric functions using the unit circle
  • Extend the domain of trigonometric functions using the unit circle
Model periodic phenomena with trigonometric functions
  • Model periodic phenomena with trigonometric functions
Prove and apply trigonometric identities
  • Prove and apply trigonometric identities
Translate between the geometric description and the equation for a conic section
  • Translate between the geometric description and the equation for a conic section
Understand and evaluate random processes underlying statistical experiments
  • Make inferences & justify conclusions from surveys, experiments, & observational studies
Use probability to evaluate outcomes of decisions
  • Use probability to evaluate outcomes of decisions
Summarize, represent, and interpret data on two categorical and quantitative variables
  • Summarize, represent, and interpret data on two categorical and quantitative variables
Interpret linear models
  • Interpret linear models
 Experiment with transformations in the plane
  • Experiment with transformations in the plane
 Understand congruence in terms of rigid motions
  • Understand congruence in terms of rigid motions
Make geometric constructions
  • Make geometric constructions
 Prove geometric theorems
  • Use coordinates to prove simple geometric theorems algebraically
  • Prove geometric theorems
Understand similarity in terms of similarity transformations
  • Understand similarity in terms of similarity transformations
 Prove theorems involving similarity
  • Prove theorems involving similarity
Define trigonometric ratios and solve problems involving right triangles
  • Define trigonometric ratios and solve problems involving right triangles
Understand and apply theorems about circles
  • Understand and apply theorems about circles
Find arc lengths and areas of sectors of circles
  • Find arc lengths and areas of sectors of circles
Understand the basic properties of waves
  • Understand the basic properties of waves
Translate between the geometric description and the equation for a conic section
  • Translate between the geometric description and the equation for a conic section
 Explain volume formulas and use them to solve problems
  • Explain volume formulas and use them to solve problems
teaching math, teaching arithmetic, teaching algebra, teaching calculous, teaching calculations, teaching geometry, teaching trigonometry, teaching architecture, teaching engineering, teaching addition, teaching subtraction, learning math, learning arithmetic, learning algebra, learning calculous, learning calculations, learning geometry, learning trigonometry, learning architecture, learning engineering, learning addition, learning subtraction, the Education for Life Program, creative kids, artistic kids, art in the context of, music in the context of, One Community education, open source education, One Community school
  • Construct and compare linear, quadratic, and exponential models and solve problems
teaching math, teaching arithmetic, teaching algebra, teaching calculous, teaching calculations, teaching geometry, teaching trigonometry, teaching architecture, teaching engineering, teaching addition, teaching subtraction, learning math, learning arithmetic, learning algebra, learning calculous, learning calculations, learning geometry, learning trigonometry, learning architecture, learning engineering, learning addition, learning subtraction, the Education for Life Program, creative kids, artistic kids, art in the context of, music in the context of, One Community education, open source education, One Community school
  • Understand and evaluate random processes underlying statistical experiments
teaching math, teaching arithmetic, teaching algebra, teaching calculous, teaching calculations, teaching geometry, teaching trigonometry, teaching architecture, teaching engineering, teaching addition, teaching subtraction, learning math, learning arithmetic, learning algebra, learning calculous, learning calculations, learning geometry, learning trigonometry, learning architecture, learning engineering, learning addition, learning subtraction, the Education for Life Program, creative kids, artistic kids, art in the context of, music in the context of, One Community education, open source education, One Community school
  • Use irrational expressions in complex equations
teaching math, teaching arithmetic, teaching algebra, teaching calculous, teaching calculations, teaching geometry, teaching trigonometry, teaching architecture, teaching engineering, teaching addition, teaching subtraction, learning math, learning arithmetic, learning algebra, learning calculous, learning calculations, learning geometry, learning trigonometry, learning architecture, learning engineering, learning addition, learning subtraction, the Education for Life Program, creative kids, artistic kids, art in the context of, music in the context of, One Community education, open source education, One Community school
  • Rewrite rational expressions

 

INDIGO

NOTE: The colors are provided as a possible linear progression (red/easiest to violet/most challenging) for people that might prefer a more linear structure. Our core philosophy is that through creativity every color can be made easy or challenging for any learning level.
Understand independence and conditional probability and use them to interpret data
  • Understand independence and conditional probability and use them to interpret data
Use rules of probability to compute probabilities of compound events in a uniform model
  • Use rules of probability to compute probabilities of compound events in a uniform model
Represent complex numbers and their operations on the complex plane
  • Represent complex numbers and their operations on the complex plane
math-indigo-vector-model
  • Represent and model with vector quantities
Represent and model derivative equations
  • Represent and model derivative equations
Perform operations on vectors
  • Perform operations on vectors
Perform operations on matrices and use matrices in applications
  • Perform operations on matrices and use matrices in applications
Apply trigonometry to general triangles
  • Apply trigonometry to general triangles
Apply trigonometry to general circles
  • Apply trigonometry to general circles
Calculate varying types of mathematical series
  • Calculate varying types of mathematical series
Understand and use the fundamental theorem of calculus
  • Understand and use the fundamental theorem of calculus
Graph complex equations on the complex plane
  • Graph complex equations on the complex plane
Translate between the geometric description and the equation for a conic section
  • Translate between the geometric description and the equation for a conic section
 Graph trigonometric equations
  • Graph trigonometric equations
Visualize relationships between two-dimensional and three-dimensional objects
  • Visualize relationships between two-dimensional and three-dimensional objects
 Understand spherical trigonometry
  • Understand spherical trigonometry
Apply geometric concepts in modeling situations
  • Apply geometric concepts in modeling situations
Use the mean value theorem
  • Use the mean value theorem
Calculating differentiation in derivatives
  • Calculating differentiation in derivatives
Apply geometric concepts in Euclidian space
  • Apply geometric concepts in Euclidian space
 Understand and graph integral calculus
  • Understand and graph integral calculus
 Solve and graph cubic polynomial functions
  • Solve and graph cubic polynomial functions
Prove and use Rolle’s Theorum
  • Prove and use Rolle’s Theorum
Understand parametric equations and polar graphs
  • Understand parametric equations and polar graphs
Understand basic Functions
  • Understand basic functions
Understand and calculate limits for functions
  • Understand and calculate limits for functions
Physics: Understand and calculate equations for basic physics and classical mechanics
  • Physics: Understand and calculate equations for basic physics and classical mechanics
Understand and calculate basic equations in astronomy
  • Understand and calculate basic equations in astronomy
Use mathematics in project planning and project management
  • Use mathematics in project planning and project management
Use mathematics to understand basic economics and globalization
  • Use mathematics to understand basic economics and globalization
Use mathematics to understand the foundations of computer science
  • Use mathematics to understand the foundations of computer science
Use mathematical equations in basic architecture blueprints and schematics
  • Use mathematical equations in basic architecture blueprints and schematics
Use mathematics in foundational biology applications
  • Use mathematics in foundational biology applications
Use mathematics in basic chemistry applications
  • Use mathematics in basic chemistry applications
teaching math, teaching arithmetic, teaching algebra, teaching calculous, teaching calculations, teaching geometry, teaching trigonometry, teaching architecture, teaching engineering, teaching addition, teaching subtraction, learning math, learning arithmetic, learning algebra, learning calculous, learning calculations, learning geometry, learning trigonometry, learning architecture, learning engineering, learning addition, learning subtraction, the Education for Life Program, creative kids, artistic kids, art in the context of, music in the context of, One Community education, open source education, One Community school
  • Understand and graph Riemann Sums
Understand and graph Riemann Sums
  • Understand and use integrals and derivatives

 

VIOLET

NOTE: The colors are provided as a possible linear progression (red/easiest to violet/most challenging) for people that might prefer a more linear structure. Our core philosophy is that through creativity every color can be made easy or challenging for any learning level.
Graph trigonometric functions in Euclidean space
  • Graph trigonometric functions in Euclidean space
Understand and graph differential geometry
  • Understand and graph differential geometry
Understand and graph Symplectic Geometry
  • Understand and graph Symplectic Geometry
Understand and apply contact geometry
  • Understand and apply contact geometry
Understand and calculate differentiable and non-differentiable manifolds
  • Understand and calculate differentiable and non-differentiable manifolds
Understand and calculate intrinsic equations
  • Understand and calculate intrinsic equations
Calculate and understand mathematical equations for scalar fields
  • Calculate and understand mathematical equations for scalar fields
Understand and use vector calculus
  • Understand and use vector calculus
Calculate vector fields
  • Calculate vector fields
Understand and use Topological Mathematics
  • Understand and use Topological Mathematics
Design objects using fractal mathematical equations
  • Design objects using fractal mathematical equations
Calculate and use mathematical Measure and prove Measure Theory
  • Calculate and use mathematical Measure and prove Measure Theory
Use Chaos Theory Mathematics
  • Use Chaos Theory Mathematics
Use complex analysis and the theory of functions of a complex variable
  • Use complex analysis and the theory of functions of a complex variable
Understand and use Combinatorics
  • Understand and use Combinatorics
Understand and use Combinatorial optimization
  • Understand and use Combinatorial optimization
Understand and use mathematical equations in cryptography and coding
  • Understand and use mathematical equations in cryptography and coding
Understand and use applied mathematics within the fluid branch of mechanics
  • Understand and use applied mathematics within the fluid branch of mechanics
Understand and use scientific computing
  • Understand and use scientific computing
Understand and use applied mathematics in advanced computer sciences and artificial intelligence
  • Understand and use applied mathematics in advanced computer sciences and artificial intelligence
Understand and use applied mathematics within economics and mathematical finance
  • Understand and use applied mathematics within economics and mathematical finance
Understand and use applied mathematics within business
  • Understand and use applied mathematics within business
math-violet-23
  • Understand and use applied mathematics within engineering
Understand and use applied mathematics within physics
  • Understand and use applied mathematics within physics
Understand and use applied mathematics within chemistry
  • Understand and use applied mathematics within chemistry
Understand and use applied mathematics within psychology
  • Understand and use applied mathematics within psychology
Understand and use applied mathematics within biology
  • Understand and use applied mathematics within biology
Understand and use applied mathematics within scientific computation
  • Understand and use applied mathematics within scientific computation
Understand and use mathematical finance
  • Understand and use mathematical finance
math-violet-30
  • Understand and use operational research and optimization
Understand and use applied mathematics within quantum mechanics
  • Understand and use applied mathematics within quantum mechanics
Understand and use quantum field theory applied mathematics within particle physics
  • Understand and use quantum field theory applied mathematics within particle physics
Understand light through quantum theory using applied mathematics
  • Understand light through quantum theory using applied mathematics
Understand and use mathematics to understand atomic structures
  • Understand and use mathematics to understand atomic structures
Understand and use the mathematics behind oscillations
  • Understand and use the mathematics behind oscillations
Understand and use applied mathematics within the statics branch of mechanics
  • Understand and use applied mathematics within the statics branch of mechanics
Understand and use applied mathematics within the kinematics branch of mechanics
  • Understand and use applied mathematics within the kinematics branch of mechanics
Understand and use applied mathematics within astronomy and the celestial branch of mechanics
  • Understand and use applied mathematics within astronomy and the celestial branch of mechanics
Understand and use applied mathematics within Statistical mechanics or statistical thermodynamics
  • Understand and use applied mathematics within Statistical mechanics or statistical thermodynamics
Understand and use applied mathematics within actuarial science and accounting
  • Understand and use applied mathematics within actuarial science and accounting
Understand and use applied mathematics within software engineering
  • Understand and use applied mathematics within software engineering
Understand and use applied mathematics within advanced statistics
  • Understand and use applied mathematics within advanced statistics
Understand and use equations and diagrams within mathematical and computational sociology
  • Understand and use equations and diagrams within mathematical and computational sociology

OTHER RESOURCES

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OPEN SOURCE SUBJECT RESOURCES (click icons for complete pages)

teaching arts, teaching trades, teaching life skills, teaching building, teaching communication, teaching painting, teaching exploration, teaching rhythm and tempo, teaching tactile skills, teaching learning strategies, teaching storytelling, teaching puppet theatre, teaching planting, teaching crafts, teaching woodworking, teaching metalworking, teaching pottery, teaching theatre, learning arts, learning trades, learning life skills, learning building, learning communication, learning painting, learning exploration, learning rhythm and tempo, learning tactile skills, learning learning strategies, learning storytelling, learning puppet theatre, learning planting, learning crats, learning woodworking, learning metalworking, learning poetry, learning theatre, the Education for Life Program, creative kids, artistic kids, art in the context of, music in the context of, One Community education, open source education, One Community school teaching english, teaching literature, teaching sociolinguistics, teaching communications, teaching linguistics, teaching speech etiquette, teaching listening, teaching pronounciation, teaching language, teaching reading, teaching writing, teaching parts of speech, teaching comprehension, teaching speaking, teaching stories, teaching poems, learning english, learning literature, learning sociolinguistics, learning communications, learning linguistics, learning speech etiquette, learning listening, learning pronounciation, learning language, learning reading, learning writing, learning parts of speech, learning comprehension, learning speaking, learning stories, learning poems, the Education for Life Program, creative kids, artistic kids, art in the context of, music in the context of, One Community education, open source education, One Community school teaching health, teaching emotional health, teaching mental health, teaching social health, teaching nutrition, teaching spiritual health, teaching physical health, teaching self respect, teaching self awareness, teaching flexibility, teaching fruit, teaching vegetables, teaching grains, teaching ego, teaching connection, teaching intuition, teaching motor skills, teaching fitness, teaching outdoors, learning health, learning emotional health, learning mental health, learning social health, learning nutrition, learning spiritual health, learning physical health, learning self respect, learning self awareness, learning flexibility, learning fruit, learning vegetables, learning grains, learning ego, learning connection, learning intuition, learning motor skills, learning fitness, learning outdoors, the Education for Life Program, creative kids, artistic kids, art in the context of, music in the context of, One Community education, open source education, One Community school teaching math, teaching arithmetic, teaching algebra, teaching calculous, teaching calculations, teaching geometry, teaching trigonometry, teaching architecture, teaching engineering, teaching addition, teaching subtraction, learning math, learning arithmetic, learning algebra, learning calculous, learning calculations, learning geometry, learning trigonometry, learning architecture, learning engineering, learning addition, learning subtraction, the Education for Life Program, creative kids, artistic kids, art in the context of, music in the context of, One Community education, open source education, One Community school

teaching earth sciences, teaching life sciences, teaching physical sciences, teaching astronomy, teaching states of matter, teaching motion, teaching investigation, teaching energy, teaching vibration, teaching magnetism, learning earth sciences, learning life sciences, learning physical sciences, learning astronomy, learning states of matter, learning motion, learning investigation, learning energy, learning vibration, learning magnetism, the Education for Life Program, creative kids, artistic kids, art in the context of, music in the context of, One Community education, open source education, One Community school teaching social sciences, teaching friendship, teaching family, teaching social skills, teaching language, teaching literature, teaching seasons, teaching fine arts, teaching emotions, teaching culture, teaching history, teaching sports, teaching relationships, learning social sciences, learning friendship, learning family, learning social skills, learning language, learning literature, learning seasons, learning fine arts, learning emotions, learning culture, learning history, learning sports, learning relationships, the Education for Life Program, creative kids, artistic kids, art in the context of, music in the context of, One Community education, open source education, One Community school teaching innovation, teaching awareness, teaching focus, teaching imagination, teaching strategy, teaching creativity, teaching visualization, teaching technology, teaching basic machines, teaching magnets, teaching gears, teaching coding, teaching app development, teaching design, teaching blueprints, learning innovation, learning awareness, learning focus, learning imagination, learning strategy, learning creativity, learning visualization, learning technology, learning basic machines, learning magnets, learning gears, learning coding, learning app development, learning design, learning blueprints, the Education for Life Program, creative kids, artistic kids, art in the context of, music in the context of, One Community education, open source education, One Community school teaching imagination, teaching communication, teaching care, teaching kindness, teaching hygiene, teaching sharing, teaching playfulness, teaching teamwork, learning imagination, learning communication, learning care, learning kindness, learning hygiene, learning sharing, learning playfulness, learning teamwork, the Education for Life Program, creative kids, artistic kids, art in the context of, music in the context of, One Community education, open source education, One Community school

 

OPEN SOURCE CURRICULUM OUTLINES (click image for summaries and links to complete pages)

CARE
teaching love, teaching connection, teaching empathy, teaching compassion, teaching values, One Community school, One Community education, teaching strategies for life, curriculum for life, One Community, transformational education, open source education, free-shared education, eco-education, curriculum for life, strategies of leadership, the ultimate classroom, teaching tools for life, for the highest good of all, Waldorf, Montessori, Reggio, 8 intelligences, Bloom's Taxonomy, Orff, our children are our future, the future of kids, One Community kids, One Community families, education for life, transformational livingteaching honesty, teaching integrity, teaching ethics, ethical teaching, honest teaching, One Community school, One Community education, teaching strategies for life, curriculum for life, One Community, transformational education, open source education, free-shared education, eco-education, curriculum for life, strategies of leadership, the ultimate classroom, teaching tools for life, for the highest good of all, Waldorf, Montessori, Reggio, 8 Intelligences, Bloom's Taxonomy, Orff, our children are our future, the future of kids, One Community kids, One Community families, education for life, transformational livingInterconnectedness, Sustainability Education, One Community school, One Community education, teaching strategies for life, curriculum for life, One Community, transformational education, open source education, free-shared education, eco-education, curriculum for life, strategies of leadership, the ultimate classroom, teaching tools for life, for the highest good of all, Waldorf, Montessori, Reggio, 8 intelligences, Bloom's Taxonomy, Orff, our children are our future, the future of kids, One Community kids, One Community families, education for life, transformational livingsocial equality and justice, celebrating diversity, diversity as a value, celebrating diversity
SHARE
teaching communication, teaching language skills, One Community school, One Community education, teaching strategies for life, curriculum for life, One Community, transformational education, open source education, free-shared education, eco-education, curriculum for life, strategies of leadership, the ultimate classroom, teaching tools for life, for the highest good of all, Waldorf, Montessori, Reggio, 8 Intelligences, Bloom's Taxonomy, Orff, our children are our future, the future of kids, One Community kids, One Community families, education for life, transformational livingteaching sharing, teaching giving, teaching receiving, sharing in education, open source, One Community school, One Community education, teaching strategies for life, curriculum for life, One Community, transformational education, open source education, free-shared education, eco-education, curriculum for life, strategies of leadership, the ultimate classroom, teaching tools for life, for the highest good of all, Waldorf, Montessori, Reggio, 8 Intelligences, Bloom's Taxonomy, Orff, our children are our future, the future of kids, One Community kids, One Community families, education for life, transformational livingcommunity contribution, a new way of living, time as your only currency, transforming life as we know itcooperating, living cooperatively, collaborative living, collaboration, working together, helping each other, global family, coming together, seeking agreement, team work
PLAY
a new way to life, living fulfilled, an enriching life, enriched life, fulfilled life, ascension, evolving consciousness, loving lifeTrue Community, how to build community, facilitating global community, community building, for The Highest Good of All, One Community, a new way to live, a new way of living, open source world, creating world change, One Community, 40+ tips for community making, One Communityteaching freedom, freedom in teaching, celebrating other perspectives, teaching other perspectives, One Community school, One Community education, teaching strategies for life, curriculum for life, One Community, transformational education, open source education, free-shared education, eco-education, curriculum for life, strategies of leadership, the ultimate classroom, teaching tools for life, for the highest good of all, Waldorf, Montessori, Reggio, 8 Intelligences, Bloom's Taxonomy, Orff, our children are our future, the future of kids, One Community kids, One Community families, education for life, transformational livingfoundations of greatness, knowledge is power, educating kids, smart kids, wisdom curriculum, knowledge curriculum, One Community school, One Community education, teaching strategies for life, curriculum for life, One Community, transformational education, open source education, free-shared education, eco-education, curriculum for life, strategies of leadership, the ultimate classroom, teaching tools for life, for the highest good of all, Waldorf, Montessori, Reggio, 8 Intelligences, Bloom's Taxonomy, Orff, our children are our future, the future of kids, One Community kids, One Community families, education for life, transformational living

 

OPEN SOURCE TEACHING METHODOLOGY SUMMARIES

Montessori | Waldorf | Orff | Reggio | Multi-Intelligence | Bloom's Taxonomy | Study Tech | I-WE

 

INDEX OF ALL THE ONE COMMUNITY OPEN SOURCE LESSON PLANS
Lesson Plans for Life Image, One Community lesson plans

Click this image for the Lesson Plans for Life page with links to the rest of the lesson plans

 

THE WORLD'S LARGEST ONLINE FREE EDUCATION RESOURCE ARCHIVE

 

RELATED CONTENT AND OTHER RELATED RESOURCES

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OTHER RESOURCES

KHAN ACADEMY (Program Overview)

Early Math
3rd grade (U.S.)
4th grade (U.S.)
5th grade (U.S.)
6th grade (U.S.)
7th grade (U.S.)
8th grade (U.S.)
Arithmetic and Pre-Algebra
Algebra I
Geometry
Algebra II
Trigonometry
Probability and Statistics
Precalculus
Differential Calculus
Integral Calculus
Multivariable Calculus
Differential Equations
Linear Algebra
Applied Math
Recreational Math
Math Contests

NUMBERS

1, 2, 3 Counting Games
http://pbskids.org/games/123/

ABCya!
http://www.abcya.com/

Count Us in
http://abc.net.au/countusin

Gamequarium: Place Value Games
http://www.gamequarium.com/placevalue.html

Roman Numerals Games
http://www.roman-numerals.org/games.html

ADDITION

Cool Math 4 Kids: Addition
http://www.coolmath4kids.com/addition

Fun 4 the Brain: Addition
http://www.fun4thebrain.com/addition.html

Math Addition Games
http://www.learninggamesforkids.com/math-addition-games.html

Games About Math
http://www.pbskids.org/whiteboard/

SUBTRACTION

Cool Math 4 Kids: Subtraction
www.coolmath4kids.com/subtraction/

Fun 4 the Brain: Subtraction
http://www.fun4thebrain.com/subtraction.html

Gamequarium
http://www.gamequarium.com/subtraction.html

Kids’ Numbers
http://www.kidsnumbers.com/subtraction.php

Math Blaster
http://www.mathblaster.com/parents/math-games

Math Nook: Subtraction Games
www.mathnook.com/math/skill/subtractiongames.php

MULTIPLICATION

Cool Math 4 Kids: Time Tables
http://www.coolmath4kids.com/times-tables/

Fun 4 the Brain: Multiplication
http://www.fun4thebrain.com/mult.html

Kids’ Numbers
http://www.kidsnumbers.com/multiplication.php

Multiplication.com
http://www.multiplication.com/games

Play Kids’ Games: Math Games
http://www.playkidsgames.com/mathGames.htm

DIVISION

ABCYa! Division Drag Race
http://www.abcya.com/division_drag_race.htm

Division Games
http://www.divisiongames.net/

Fun 4 the Brain: Division
http://www.fun4thebrain.com/division.html

Kids’ Numbers: Division
http://www.kidsnumbers.com/division.php

My Math Games: Division
http://www.learninggamesforkids.com/math-division-games.html

Play Kids’ Games: Math Games
http://www.playkidsgames.com/mathGames.htm

FRACTIONS

Cool Math 4 Kids: Fractions
http://www.coolmath4kids.com/fractions/

PrimaryGames: Pizza Party
http://www.primarygames.com/fractions/start.htm

Fun Videos about Pi:

One Community