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):

2 1 Number patterns
2 2 Intro to addition and subtraction
2 3 Add and subtract multiple numbers
2 4 Add and subtract up to 500
2 5 Shapes

Grade 3 (13 Units):

3 1 Number sense and fractions
3 2 Intro to multiplication
3 3 Intro to division
3 4 Arithmetic patterns
3 5 Multiply 1-digit numbers
3 6 Multiply large numbers
3 7 Multiply and divide
3 8 Intro to fractions
3 9 Equivalent fractions
3 10 Compare fractions
3 11 Partition shapes
3 12 Rounding and magnitude
3 13 Rounding with operations

Grade 4 (14 Units):

4 1 Operational thinking
4 2 Intro to factors
4 3 Multiply and divide whole numbers
4 4 Number patterns
4 5 Intro to least common multiple
4 6 Order of operations
4 7 Rounding
4 8 Angle measures
4 9 Multiply and divide large numbers
4 10 Compare equivalent fractions
4 11 Simplify fractions
4 12 Intro to fraction operations
4 13 Intro to decimals
4 14 Fractions and decimals

Grade 5 (20 Units):

5 1 Operations and decimals
5 2 Intro to exponents
5 3 Numerical expressions
5 4 Distributive property
5 5 Place value system
5 6 Place value
5 7 Compare decimals
5 8 Multiply and divide numbers
5 9 Add and subtract decimals
5 10 Multiply and divide decimals
5 11 Round with decimals
5 12 Fraction operations
5 13 Compare and operate on fractions
5 14 Fraction division
5 15 Plot points
5 16 Numerical rules
5 17 Hierarchy of shapes
5 18 Volume of cubes
5 19 Volume of rectangular prisms
5 20 Unit conversions

Grade 6 (27 Units):

6 1 Multiplication patterns
6 2 Intro to ratios
6 3 Equivalent ratios
6 4 Percents
6 5 Parts of wholes
6 6 Rates and equivalent rates
6 7 Unit rates
6 8 Negative numbers
6 9 Absolute value
6 10 Coordinate plane
6 11 Find distance
6 12 Find side lengths
6 13 Fraction division
6 14 Greatest common factor
6 15 Least common multiple
6 16 Algebraic expressions
6 17 Operations with decimals
6 18 Exponents
6 19 Exponent operations
6 20 Distributive property and equivalency
6 21 One-variable equations
6 22 Inequalities
6 23 Polygon area
6 24 Rectangular surface area
6 25 Triangular surface area
6 26 Volume
6 27 Translations

Grade 7 (21 Units):

7 1 Ratios and algebra
7 2 Equivalent ratios
7 3 Rates and unit rates
7 4 Proportions applications
7 5 Represent rational numbers
7 6 Area
7 7 Surface area
7 8 Volume
7 9 Rewrite and evaluate expressions
7 10 Two-step equations
7 11 Two-step inequalities
7 12 Add and subtract negatives
7 13 Multiply and divide negatives
7 14 Negative number operations
7 15 Negative decimal operations
7 16 Circles
7 17 Angle relationships
7 18 Adjacent and vertical angles
7 19 Intro to probability
7 20 Probability models
7 21 Compound events

Grade 8 (29 Units):

8 1 Equations and graphing
8 2 Graphs of proportional relationships
8 3 Slope
8 4 Graphs of proportional relationships
8 5 Slope-intercept lines
8 6 One-variable linear equations
8 7 Number of solutions
8 8 Intro to functions
8 9 Linear functions
8 10 Product rule
8 11 Quotient rule
8 12 Negative exponents
8 13 Zero exponent rule
8 14 Roots
8 15 Irrational Numbers
8 16 Scientific notation
8 17 Translations of the plane
8 18 Reflect across axes
8 19 Reflect across lines
8 20 Rotations of the plane
8 21 Congruence
8 22 Dilations and similarity
8 23 Angles with parallel lines
8 24 Triangles
8 25 The Pythagorean theorem
8 26 Volume
8 27 Bivariate data
8 28 Linear models
8 29 Bivariate categorical data

Grade 9 (35 Units):

9 1 Graphs and expressions
9 2 Solve linear equations
9 3 One-variable linear inequalities
9 4 Compound inequalities
9 5 Function notation
9 6 Rate of change
9 7 Linear functions
9 8 Inverse linear functions
9 9 Piecewise-defined functions
9 10 Functions and sequences
9 11 Two-variable linear equations
9 12 Graph systems of linear equations
9 13 Two-variable linear inequalities
9 14 Exponent properties
9 15 Radicals
9 16 Add and subtract radicals
9 17 Different radicands
9 18 Radical properties
9 19 Rewrite polynomial expressions
9 20 Factor quadratic expressions
9 21 Intro to quadratic functions
9 22 Quadratic graphs and equations
9 23 Factored form of quadratics
9 24 Vertex form of quadratics
9 25 Systems of equations with quadratics
9 26 Geometric sequences
9 27 Intro to exponential functions
9 28 Exponential graphs and equations
9 29 Exponential growth and decay
9 30 Function translations
9 31 Vertical function scaling
9 32 Horizontal function scaling
9 33 Bivariate data
9 34 Linear model fitness
9 35 Bivariate categorical data

Grade 10 (27 Units):

10 1 Geometric relationships
10 2 Sine ratio
10 3 Cosine ratio
10 4 Tangent ratio
10 5 Connect trigonometric ratios
10 6 Apply trigonometric ratios
10 7 Transformations as functions
10 8 Pythagorean theorem
10 9 Line segments
10 10 Translations
10 11 Reflections
10 12 Rotations
10 13 Symmetry
10 14 Congruence
10 15 Dilations
10 16 Similarity
10 17 Similar triangles and angles
10 18 Probability events
10 19 Independent events
10 20 Dependent events
10 21 Permutations and combinations
10 22 Equations of lines
10 23 Equations of circles and parabolas
10 24 Distance and segments
10 25 Prisms and pyramids
10 26 Cylinders
10 27 Cones and spheres

Grade 11 (37 Units):

11 1 Algebra and graphs
11 2 Function models
11 3 Piecewise Functions
11 4 Step and absolute value functions
11 5 Polynomial arithmetic
11 6 Polynomial function equations
11 7 Polynomial function graphs
11 8 Intro to imaginary numbers
11 9 Complex number multiplication
11 10 Fundamental theorem of algebra
11 11 Rational function equations and graphs
11 12 Rewrite and graph rational functions
11 13 Rational expression arithmetic
11 14 Rational equations
11 15 Exponential function representations
11 16 Exponential rate of change
11 17 Geometric sequences
11 18 Finite geometric sequences
11 19 The natural base, e
11 20 Logarithms
11 21 Product and quotient rules
11 22 Properties of logarithms
11 23 Logarithmic functions
11 24 Logarithmic function graphs
11 25 Natural logarithmic function
11 26 Solve logarithmic and exponential equations
11 27 Radical equations
11 28 Inverse functions
11 29 Function composition
11 30 Translations of functions
11 31 Reflections of functions
11 32 Vertical function scaling
11 33 Horizontal function scaling
11 34 Sine function
11 35 Cosine function
11 36 Key features of sine and cosine
11 37 Tangent function

Grade 12 (27 Units):

12 1 Algebra and functions
12 2 Polynomial graphs and roots
12 3 Rational function asymptotes
12 4 Holes and slant asymptotes
12 5 Properties of functions
12 6 Exponent and logarithm properties
12 7 Exponentials and logarithms as inverses
12 8 Graph sine and cosine
12 9 Intro to vectors
12 10 Describing vectors
12 11 Vector operations
12 12 Dot product
12 13 Matrices as numbers
12 14 Matrix operations
12 15 Linear transformations
12 16 Matrices as linear transformations
12 17 Limits
12 18 Continuity
12 19 Instantaneous rate of change
12 20 Definition of the derivative
12 21 Intro to derivative rules
12 22 Derivatives of more functions
12 23 Product and quotient rules
12 24 Chain rule
12 25 Intro to Riemann sums
12 26 Antiderivatives
12 27 Intro to indefinite integrals

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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):

1 1 Follow patterns
1 2 Add, subtract, and multiply
1 3 Intro to division
1 4 Add and subtract
1 5 Multiply
1 6 Divide
1 7 Create fractions
1 8 Compare fractions
1 9 Rounding
1 10 Decimals
1 11 Fraction operations
1 12 Negatives
1 13 Compare ratios
1 14 Factors
1 15 Factors and multiples
1 16 Greatest common factor with fractions
1 17 Place value

Arithmetic 2 (18 Units):

2 1 Find connections
2 2 Build number sense
2 3 Exponents and fractions
2 4 Exponents
2 5 Find equivalent ratios and fractions
2 6 Part-to-whole ratios
2 7 Fractions, decimals, and percents
2 8 Round and compare numbers
2 9 Exponent operations
2 10 Exponents and place value
2 11 Negative number operations
2 12 Negative and positive decimals
2 13 Magnitude
2 14 Compare decimals
2 15 Rational numbers
2 16 Rational number operations
2 17 Round decimals
2 18 Round fractions and decimals

Geometry (29 Units):

3 1 Polygon area
3 2 Rectangular surface area
3 3 Triangular surface area
3 4 Volume
3 5 Cylinders
3 6 Cones and spheres
3 7 Coordinate grid
3 8 Absolute value and distance
3 9 Translations
3 10 Scale drawings
3 11 Circles
3 12 Angle relationships
3 13 Translations of the plane
3 14 Reflections of the plane
3 15 Rotations of the plane
3 16 Congruence
3 17 Dilations and similarity
3 18 Symmetry
3 19 Angles with parallel lines
3 20 Triangles
3 21 The Pythagorean theorem
3 22 Sine ratio
3 23 Cosine ratio
3 24 Tangent ratio
3 25 Similar triangles and angles
3 26 Sine function
3 27 Cosine function
3 28 Tangent function
3 29 Graph sine and cosine

Algebra (23 Units):

4 1 Operations in equations
4 2 Algebraic equations
4 3 Equations using all operations
4 4 Equations with coefficients
4 5 Equations with fractions and decimals
4 6 Distributive property and equivalency
4 7 One-variable equations
4 8 Inequalities
4 9 Rewrite and evaluate expressions
4 10 Two-step equations
4 11 Two-step inequalities
4 12 Solve linear equations
4 13 One-variable linear inequalities
4 14 Rewrite polynomial expressions
4 15 Factor quadratic expressions
4 16 Geometric sequences
4 17 Logarithms
4 18 Product and quotient rules
4 19 Properties of logarithms
4 20 Solve logarithmic and exponential equations
4 21 Rational expression arithmetic
4 22 Rational equations
4 23 Radical equations

Algebraic Graphing (46 Units):

5 1 Graphing relationships
5 2 Graphs of proportional relationships
5 3 Slope
5 4 Slope of lines
5 5 Slope-intercept lines
5 6 One-variable linear equations
5 7 Number of solutions
5 8 Intro to functions
5 9 Linear functions
5 10 Function notation
5 11 Rate of change
5 12 Linear functions
5 13 Inverse linear functions
5 14 Piecewise-defined functions
5 15 Two-variable linear inequalities
5 16 Intro to quadratic functions
5 17 Quadratic graphs and equations
5 18 Factored form of quadratics
5 19 Vertex form of quadratics
5 20 Systems of equations with quadratics
5 21 Intro to exponential functions
5 22 Exponential graphs and equations
5 23 Exponential growth and decay
5 24 Function translations
5 25 Vertical function scaling
5 26 Horizontal function scaling
5 27 Reflections of functions
5 28 Polynomial function equations
5 29 Rational function equations and graphs
5 30 Exponential function representations
5 31 Geometric sequences
5 32 The natural base, e
5 33 Natural logarithmic function
5 34 Step and absolute value functions
5 35 Polynomial function graphs
5 36 Exponential rate of change
5 37 Logarithmic functions
5 38 Logarithmic function graphs
5 39 Polynomial graphs and roots
5 40 Rewrite and graph rational functions
5 41 Rational function asymptotes
5 42 Holes and slant asymptotes
5 43 Function composition
5 44 Properties of functions
5 45 Exponent and logarithm properties
5 46 Exponentials and logarithms as inverses

Calculus (11 Units):

6 1 Limits
6 2 Continuity
6 3 Instantaneous rate of change
6 4 Definition of the derivative
6 5 Intro to derivative rules
6 6 Derivatives of more functions
6 7 Product and quotient rules
6 8 Chain rule
6 9 Intro to Riemann sums
6 10 Antiderivatives
6 11 Intro to indefinite integrals

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Edited by Mat!/Ozone, 2026/05/31.