Duolingo Data:
Math from English, 255 Units (2026/05/12):
Max Grade: 12
Show me the "By Topics" version of this course instead of this "By Grades" one.
Grade 2 (5 Units)
Grade 3 (13 Units)
Grade 4 (14 Units)
Grade 5 (20 Units)
Grade 6 (27 Units)
Grade 7 (21 Units)
Grade 8 (29 Units)
Grade 9 (35 Units)
Grade 10 (27 Units)
Grade 11 (37 Units)
Grade 12 (27 Units)
Grade 2 (5 Units):
ㅤ2ㅤ 1 Number patterns
ㅤ2ㅤ 2 Intro to addition and subtraction
ㅤ2ㅤ 3 Add and subtract multiple numbers
ㅤ2ㅤ 4 Add and subtract up to 500
ㅤ2ㅤ 5 Shapes
Grade 3 (13 Units):
ㅤ3ㅤ 1 Number sense and fractions
ㅤ3ㅤ 2 Intro to multiplication
ㅤ3ㅤ 3 Intro to division
ㅤ3ㅤ 4 Arithmetic patterns
ㅤ3ㅤ 5 Multiply 1-digit numbers
ㅤ3ㅤ 6 Multiply large numbers
ㅤ3ㅤ 7 Multiply and divide
ㅤ3ㅤ 8 Intro to fractions
ㅤ3ㅤ 9 Equivalent fractions
ㅤ3ㅤ 10 Compare fractions
ㅤ3ㅤ 11 Partition shapes
ㅤ3ㅤ 12 Rounding and magnitude
ㅤ3ㅤ 13 Rounding with operations
Grade 4 (14 Units):
ㅤ4ㅤ 1 Operational thinking
ㅤ4ㅤ 2 Intro to factors
ㅤ4ㅤ 3 Multiply and divide whole numbers
ㅤ4ㅤ 4 Number patterns
ㅤ4ㅤ 5 Intro to least common multiple
ㅤ4ㅤ 6 Order of operations
ㅤ4ㅤ 7 Rounding
ㅤ4ㅤ 8 Angle measures
ㅤ4ㅤ 9 Multiply and divide large numbers
ㅤ4ㅤ 10 Compare equivalent fractions
ㅤ4ㅤ 11 Simplify fractions
ㅤ4ㅤ 12 Intro to fraction operations
ㅤ4ㅤ 13 Intro to decimals
ㅤ4ㅤ 14 Fractions and decimals
Grade 5 (20 Units):
ㅤ5ㅤ 1 Operations and decimals
ㅤ5ㅤ 2 Intro to exponents
ㅤ5ㅤ 3 Numerical expressions
ㅤ5ㅤ 4 Distributive property
ㅤ5ㅤ 5 Place value system
ㅤ5ㅤ 6 Place value
ㅤ5ㅤ 7 Compare decimals
ㅤ5ㅤ 8 Multiply and divide numbers
ㅤ5ㅤ 9 Add and subtract decimals
ㅤ5ㅤ 10 Multiply and divide decimals
ㅤ5ㅤ 11 Round with decimals
ㅤ5ㅤ 12 Fraction operations
ㅤ5ㅤ 13 Compare and operate on fractions
ㅤ5ㅤ 14 Fraction division
ㅤ5ㅤ 15 Plot points
ㅤ5ㅤ 16 Numerical rules
ㅤ5ㅤ 17 Hierarchy of shapes
ㅤ5ㅤ 18 Volume of cubes
ㅤ5ㅤ 19 Volume of rectangular prisms
ㅤ5ㅤ 20 Unit conversions
Grade 6 (27 Units):
ㅤ6ㅤ 1 Multiplication patterns
ㅤ6ㅤ 2 Intro to ratios
ㅤ6ㅤ 3 Equivalent ratios
ㅤ6ㅤ 4 Percents
ㅤ6ㅤ 5 Parts of wholes
ㅤ6ㅤ 6 Rates and equivalent rates
ㅤ6ㅤ 7 Unit rates
ㅤ6ㅤ 8 Negative numbers
ㅤ6ㅤ 9 Absolute value
ㅤ6ㅤ 10 Coordinate plane
ㅤ6ㅤ 11 Find distance
ㅤ6ㅤ 12 Find side lengths
ㅤ6ㅤ 13 Fraction division
ㅤ6ㅤ 14 Greatest common factor
ㅤ6ㅤ 15 Least common multiple
ㅤ6ㅤ 16 Algebraic expressions
ㅤ6ㅤ 17 Operations with decimals
ㅤ6ㅤ 18 Exponents
ㅤ6ㅤ 19 Exponent operations
ㅤ6ㅤ 20 Distributive property and equivalency
ㅤ6ㅤ 21 One-variable equations
ㅤ6ㅤ 22 Inequalities
ㅤ6ㅤ 23 Polygon area
ㅤ6ㅤ 24 Rectangular surface area
ㅤ6ㅤ 25 Triangular surface area
ㅤ6ㅤ 26 Volume
ㅤ6ㅤ 27 Translations
Grade 7 (21 Units):
ㅤ7ㅤ 1 Ratios and algebra
ㅤ7ㅤ 2 Equivalent ratios
ㅤ7ㅤ 3 Rates and unit rates
ㅤ7ㅤ 4 Proportions applications
ㅤ7ㅤ 5 Represent rational numbers
ㅤ7ㅤ 6 Area
ㅤ7ㅤ 7 Surface area
ㅤ7ㅤ 8 Volume
ㅤ7ㅤ 9 Rewrite and evaluate expressions
ㅤ7ㅤ 10 Two-step equations
ㅤ7ㅤ 11 Two-step inequalities
ㅤ7ㅤ 12 Add and subtract negatives
ㅤ7ㅤ 13 Multiply and divide negatives
ㅤ7ㅤ 14 Negative number operations
ㅤ7ㅤ 15 Negative decimal operations
ㅤ7ㅤ 16 Circles
ㅤ7ㅤ 17 Angle relationships
ㅤ7ㅤ 18 Adjacent and vertical angles
ㅤ7ㅤ 19 Intro to probability
ㅤ7ㅤ 20 Probability models
ㅤ7ㅤ 21 Compound events
Grade 8 (29 Units):
ㅤ8ㅤ 1 Equations and graphing
ㅤ8ㅤ 2 Graphs of proportional relationships
ㅤ8ㅤ 3 Slope
ㅤ8ㅤ 4 Graphs of proportional relationships
ㅤ8ㅤ 5 Slope-intercept lines
ㅤ8ㅤ 6 One-variable linear equations
ㅤ8ㅤ 7 Number of solutions
ㅤ8ㅤ 8 Intro to functions
ㅤ8ㅤ 9 Linear functions
ㅤ8ㅤ 10 Product rule
ㅤ8ㅤ 11 Quotient rule
ㅤ8ㅤ 12 Negative exponents
ㅤ8ㅤ 13 Zero exponent rule
ㅤ8ㅤ 14 Roots
ㅤ8ㅤ 15 Irrational Numbers
ㅤ8ㅤ 16 Scientific notation
ㅤ8ㅤ 17 Translations of the plane
ㅤ8ㅤ 18 Reflect across axes
ㅤ8ㅤ 19 Reflect across lines
ㅤ8ㅤ 20 Rotations of the plane
ㅤ8ㅤ 21 Congruence
ㅤ8ㅤ 22 Dilations and similarity
ㅤ8ㅤ 23 Angles with parallel lines
ㅤ8ㅤ 24 Triangles
ㅤ8ㅤ 25 The Pythagorean theorem
ㅤ8ㅤ 26 Volume
ㅤ8ㅤ 27 Bivariate data
ㅤ8ㅤ 28 Linear models
ㅤ8ㅤ 29 Bivariate categorical data
Grade 9 (35 Units):
ㅤ9ㅤ 1 Graphs and expressions
ㅤ9ㅤ 2 Solve linear equations
ㅤ9ㅤ 3 One-variable linear inequalities
ㅤ9ㅤ 4 Compound inequalities
ㅤ9ㅤ 5 Function notation
ㅤ9ㅤ 6 Rate of change
ㅤ9ㅤ 7 Linear functions
ㅤ9ㅤ 8 Inverse linear functions
ㅤ9ㅤ 9 Piecewise-defined functions
ㅤ9ㅤ 10 Functions and sequences
ㅤ9ㅤ 11 Two-variable linear equations
ㅤ9ㅤ 12 Graph systems of linear equations
ㅤ9ㅤ 13 Two-variable linear inequalities
ㅤ9ㅤ 14 Exponent properties
ㅤ9ㅤ 15 Radicals
ㅤ9ㅤ 16 Add and subtract radicals
ㅤ9ㅤ 17 Different radicands
ㅤ9ㅤ 18 Radical properties
ㅤ9ㅤ 19 Rewrite polynomial expressions
ㅤ9ㅤ 20 Factor quadratic expressions
ㅤ9ㅤ 21 Intro to quadratic functions
ㅤ9ㅤ 22 Quadratic graphs and equations
ㅤ9ㅤ 23 Factored form of quadratics
ㅤ9ㅤ 24 Vertex form of quadratics
ㅤ9ㅤ 25 Systems of equations with quadratics
ㅤ9ㅤ 26 Geometric sequences
ㅤ9ㅤ 27 Intro to exponential functions
ㅤ9ㅤ 28 Exponential graphs and equations
ㅤ9ㅤ 29 Exponential growth and decay
ㅤ9ㅤ 30 Function translations
ㅤ9ㅤ 31 Vertical function scaling
ㅤ9ㅤ 32 Horizontal function scaling
ㅤ9ㅤ 33 Bivariate data
ㅤ9ㅤ 34 Linear model fitness
ㅤ9ㅤ 35 Bivariate categorical data
Grade 10 (27 Units):
ㅤ10ㅤ 1 Geometric relationships
ㅤ10ㅤ 2 Sine ratio
ㅤ10ㅤ 3 Cosine ratio
ㅤ10ㅤ 4 Tangent ratio
ㅤ10ㅤ 5 Connect trigonometric ratios
ㅤ10ㅤ 6 Apply trigonometric ratios
ㅤ10ㅤ 7 Transformations as functions
ㅤ10ㅤ 8 Pythagorean theorem
ㅤ10ㅤ 9 Line segments
ㅤ10ㅤ 10 Translations
ㅤ10ㅤ 11 Reflections
ㅤ10ㅤ 12 Rotations
ㅤ10ㅤ 13 Symmetry
ㅤ10ㅤ 14 Congruence
ㅤ10ㅤ 15 Dilations
ㅤ10ㅤ 16 Similarity
ㅤ10ㅤ 17 Similar triangles and angles
ㅤ10ㅤ 18 Probability events
ㅤ10ㅤ 19 Independent events
ㅤ10ㅤ 20 Dependent events
ㅤ10ㅤ 21 Permutations and combinations
ㅤ10ㅤ 22 Equations of lines
ㅤ10ㅤ 23 Equations of circles and parabolas
ㅤ10ㅤ 24 Distance and segments
ㅤ10ㅤ 25 Prisms and pyramids
ㅤ10ㅤ 26 Cylinders
ㅤ10ㅤ 27 Cones and spheres
Grade 11 (37 Units):
ㅤ11ㅤ 1 Algebra and graphs
ㅤ11ㅤ 2 Function models
ㅤ11ㅤ 3 Piecewise Functions
ㅤ11ㅤ 4 Step and absolute value functions
ㅤ11ㅤ 5 Polynomial arithmetic
ㅤ11ㅤ 6 Polynomial function equations
ㅤ11ㅤ 7 Polynomial function graphs
ㅤ11ㅤ 8 Intro to imaginary numbers
ㅤ11ㅤ 9 Complex number multiplication
ㅤ11ㅤ 10 Fundamental theorem of algebra
ㅤ11ㅤ 11 Rational function equations and graphs
ㅤ11ㅤ 12 Rewrite and graph rational functions
ㅤ11ㅤ 13 Rational expression arithmetic
ㅤ11ㅤ 14 Rational equations
ㅤ11ㅤ 15 Exponential function representations
ㅤ11ㅤ 16 Exponential rate of change
ㅤ11ㅤ 17 Geometric sequences
ㅤ11ㅤ 18 Finite geometric sequences
ㅤ11ㅤ 19 The natural base, e
ㅤ11ㅤ 20 Logarithms
ㅤ11ㅤ 21 Product and quotient rules
ㅤ11ㅤ 22 Properties of logarithms
ㅤ11ㅤ 23 Logarithmic functions
ㅤ11ㅤ 24 Logarithmic function graphs
ㅤ11ㅤ 25 Natural logarithmic function
ㅤ11ㅤ 26 Solve logarithmic and exponential equations
ㅤ11ㅤ 27 Radical equations
ㅤ11ㅤ 28 Inverse functions
ㅤ11ㅤ 29 Function composition
ㅤ11ㅤ 30 Translations of functions
ㅤ11ㅤ 31 Reflections of functions
ㅤ11ㅤ 32 Vertical function scaling
ㅤ11ㅤ 33 Horizontal function scaling
ㅤ11ㅤ 34 Sine function
ㅤ11ㅤ 35 Cosine function
ㅤ11ㅤ 36 Key features of sine and cosine
ㅤ11ㅤ 37 Tangent function
Grade 12 (27 Units):
ㅤ12ㅤ 1 Algebra and functions
ㅤ12ㅤ 2 Polynomial graphs and roots
ㅤ12ㅤ 3 Rational function asymptotes
ㅤ12ㅤ 4 Holes and slant asymptotes
ㅤ12ㅤ 5 Properties of functions
ㅤ12ㅤ 6 Exponent and logarithm properties
ㅤ12ㅤ 7 Exponentials and logarithms as inverses
ㅤ12ㅤ 8 Graph sine and cosine
ㅤ12ㅤ 9 Intro to vectors
ㅤ12ㅤ 10 Describing vectors
ㅤ12ㅤ 11 Vector operations
ㅤ12ㅤ 12 Dot product
ㅤ12ㅤ 13 Matrices as numbers
ㅤ12ㅤ 14 Matrix operations
ㅤ12ㅤ 15 Linear transformations
ㅤ12ㅤ 16 Matrices as linear transformations
ㅤ12ㅤ 17 Limits
ㅤ12ㅤ 18 Continuity
ㅤ12ㅤ 19 Instantaneous rate of change
ㅤ12ㅤ 20 Definition of the derivative
ㅤ12ㅤ 21 Intro to derivative rules
ㅤ12ㅤ 22 Derivatives of more functions
ㅤ12ㅤ 23 Product and quotient rules
ㅤ12ㅤ 24 Chain rule
ㅤ12ㅤ 25 Intro to Riemann sums
ㅤ12ㅤ 26 Antiderivatives
ㅤ12ㅤ 27 Intro to indefinite integrals
ㅤㅤ 
Arithmetic 1 (17 Units)
Arithmetic 2 (18 Units)
Geometry (29 Units)
Algebra (23 Units)
Algebraic Graphing (46 Units)
Calculus (11 Units)
Arithmetic 1 (17 Units):
ㅤ1ㅤ 1 Follow patterns
ㅤ1ㅤ 2 Add, subtract, and multiply
ㅤ1ㅤ 3 Intro to division
ㅤ1ㅤ 4 Add and subtract
ㅤ1ㅤ 5 Multiply
ㅤ1ㅤ 6 Divide
ㅤ1ㅤ 7 Create fractions
ㅤ1ㅤ 8 Compare fractions
ㅤ1ㅤ 9 Rounding
ㅤ1ㅤ 10 Decimals
ㅤ1ㅤ 11 Fraction operations
ㅤ1ㅤ 12 Negatives
ㅤ1ㅤ 13 Compare ratios
ㅤ1ㅤ 14 Factors
ㅤ1ㅤ 15 Factors and multiples
ㅤ1ㅤ 16 Greatest common factor with fractions
ㅤ1ㅤ 17 Place value
Arithmetic 2 (18 Units):
ㅤ2ㅤ 1 Find connections
ㅤ2ㅤ 2 Build number sense
ㅤ2ㅤ 3 Exponents and fractions
ㅤ2ㅤ 4 Exponents
ㅤ2ㅤ 5 Find equivalent ratios and fractions
ㅤ2ㅤ 6 Part-to-whole ratios
ㅤ2ㅤ 7 Fractions, decimals, and percents
ㅤ2ㅤ 8 Round and compare numbers
ㅤ2ㅤ 9 Exponent operations
ㅤ2ㅤ 10 Exponents and place value
ㅤ2ㅤ 11 Negative number operations
ㅤ2ㅤ 12 Negative and positive decimals
ㅤ2ㅤ 13 Magnitude
ㅤ2ㅤ 14 Compare decimals
ㅤ2ㅤ 15 Rational numbers
ㅤ2ㅤ 16 Rational number operations
ㅤ2ㅤ 17 Round decimals
ㅤ2ㅤ 18 Round fractions and decimals
Geometry (29 Units):
ㅤ3ㅤ 1 Polygon area
ㅤ3ㅤ 2 Rectangular surface area
ㅤ3ㅤ 3 Triangular surface area
ㅤ3ㅤ 4 Volume
ㅤ3ㅤ 5 Cylinders
ㅤ3ㅤ 6 Cones and spheres
ㅤ3ㅤ 7 Coordinate grid
ㅤ3ㅤ 8 Absolute value and distance
ㅤ3ㅤ 9 Translations
ㅤ3ㅤ 10 Scale drawings
ㅤ3ㅤ 11 Circles
ㅤ3ㅤ 12 Angle relationships
ㅤ3ㅤ 13 Translations of the plane
ㅤ3ㅤ 14 Reflections of the plane
ㅤ3ㅤ 15 Rotations of the plane
ㅤ3ㅤ 16 Congruence
ㅤ3ㅤ 17 Dilations and similarity
ㅤ3ㅤ 18 Symmetry
ㅤ3ㅤ 19 Angles with parallel lines
ㅤ3ㅤ 20 Triangles
ㅤ3ㅤ 21 The Pythagorean theorem
ㅤ3ㅤ 22 Sine ratio
ㅤ3ㅤ 23 Cosine ratio
ㅤ3ㅤ 24 Tangent ratio
ㅤ3ㅤ 25 Similar triangles and angles
ㅤ3ㅤ 26 Sine function
ㅤ3ㅤ 27 Cosine function
ㅤ3ㅤ 28 Tangent function
ㅤ3ㅤ 29 Graph sine and cosine
Algebra (23 Units):
ㅤ4ㅤ 1 Operations in equations
ㅤ4ㅤ 2 Algebraic equations
ㅤ4ㅤ 3 Equations using all operations
ㅤ4ㅤ 4 Equations with coefficients
ㅤ4ㅤ 5 Equations with fractions and decimals
ㅤ4ㅤ 6 Distributive property and equivalency
ㅤ4ㅤ 7 One-variable equations
ㅤ4ㅤ 8 Inequalities
ㅤ4ㅤ 9 Rewrite and evaluate expressions
ㅤ4ㅤ 10 Two-step equations
ㅤ4ㅤ 11 Two-step inequalities
ㅤ4ㅤ 12 Solve linear equations
ㅤ4ㅤ 13 One-variable linear inequalities
ㅤ4ㅤ 14 Rewrite polynomial expressions
ㅤ4ㅤ 15 Factor quadratic expressions
ㅤ4ㅤ 16 Geometric sequences
ㅤ4ㅤ 17 Logarithms
ㅤ4ㅤ 18 Product and quotient rules
ㅤ4ㅤ 19 Properties of logarithms
ㅤ4ㅤ 20 Solve logarithmic and exponential equations
ㅤ4ㅤ 21 Rational expression arithmetic
ㅤ4ㅤ 22 Rational equations
ㅤ4ㅤ 23 Radical equations
Algebraic Graphing (46 Units):
ㅤ5ㅤ 1 Graphing relationships
ㅤ5ㅤ 2 Graphs of proportional relationships
ㅤ5ㅤ 3 Slope
ㅤ5ㅤ 4 Slope of lines
ㅤ5ㅤ 5 Slope-intercept lines
ㅤ5ㅤ 6 One-variable linear equations
ㅤ5ㅤ 7 Number of solutions
ㅤ5ㅤ 8 Intro to functions
ㅤ5ㅤ 9 Linear functions
ㅤ5ㅤ 10 Function notation
ㅤ5ㅤ 11 Rate of change
ㅤ5ㅤ 12 Linear functions
ㅤ5ㅤ 13 Inverse linear functions
ㅤ5ㅤ 14 Piecewise-defined functions
ㅤ5ㅤ 15 Two-variable linear inequalities
ㅤ5ㅤ 16 Intro to quadratic functions
ㅤ5ㅤ 17 Quadratic graphs and equations
ㅤ5ㅤ 18 Factored form of quadratics
ㅤ5ㅤ 19 Vertex form of quadratics
ㅤ5ㅤ 20 Systems of equations with quadratics
ㅤ5ㅤ 21 Intro to exponential functions
ㅤ5ㅤ 22 Exponential graphs and equations
ㅤ5ㅤ 23 Exponential growth and decay
ㅤ5ㅤ 24 Function translations
ㅤ5ㅤ 25 Vertical function scaling
ㅤ5ㅤ 26 Horizontal function scaling
ㅤ5ㅤ 27 Reflections of functions
ㅤ5ㅤ 28 Polynomial function equations
ㅤ5ㅤ 29 Rational function equations and graphs
ㅤ5ㅤ 30 Exponential function representations
ㅤ5ㅤ 31 Geometric sequences
ㅤ5ㅤ 32 The natural base, e
ㅤ5ㅤ 33 Natural logarithmic function
ㅤ5ㅤ 34 Step and absolute value functions
ㅤ5ㅤ 35 Polynomial function graphs
ㅤ5ㅤ 36 Exponential rate of change
ㅤ5ㅤ 37 Logarithmic functions
ㅤ5ㅤ 38 Logarithmic function graphs
ㅤ5ㅤ 39 Polynomial graphs and roots
ㅤ5ㅤ 40 Rewrite and graph rational functions
ㅤ5ㅤ 41 Rational function asymptotes
ㅤ5ㅤ 42 Holes and slant asymptotes
ㅤ5ㅤ 43 Function composition
ㅤ5ㅤ 44 Properties of functions
ㅤ5ㅤ 45 Exponent and logarithm properties
ㅤ5ㅤ 46 Exponentials and logarithms as inverses
Calculus (11 Units):
ㅤ6ㅤ 1 Limits
ㅤ6ㅤ 2 Continuity
ㅤ6ㅤ 3 Instantaneous rate of change
ㅤ6ㅤ 4 Definition of the derivative
ㅤ6ㅤ 5 Intro to derivative rules
ㅤ6ㅤ 6 Derivatives of more functions
ㅤ6ㅤ 7 Product and quotient rules
ㅤ6ㅤ 8 Chain rule
ㅤ6ㅤ 9 Intro to Riemann sums
ㅤ6ㅤ 10 Antiderivatives
ㅤ6ㅤ 11 Intro to indefinite integrals
ㅤㅤ 
Edited by Mat!/Ozone, 2026/05/31.