Duolingo Data:
Math from English, 94 Groups, 712 Units (2026/11/09):
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 (7 Groups, 52 units)
Grade 5 (7 Groups, 54 units)
Grade 6 (9 Groups, 92 units)
Grade 7 (7 Groups, 59 units)
Grade 8 (10 Groups, 85 units)
Grade 9 (14 Groups, 111 units)
Grade 10 (7 Groups, 75 units)
Grade 11 (8 Groups, 91 units)
Grade 12 (7 Groups, 75 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 (7 Groups, 52 units):

ㅤ4ㅤ Factors and multiples:
ㅤ4ㅤ 1 Intro to factors and multiples
ㅤ4ㅤ 2 Intro to factors
ㅤ4ㅤ 3 Factor pairs
ㅤ4ㅤ 4 Prime and composite numbers
ㅤ4ㅤ 5 Multiples
ㅤ4ㅤ Fractions:
ㅤ4ㅤ 6 Intro to fractions
ㅤ4ㅤ 7 Unit fractions
ㅤ4ㅤ 8 Non-unit fractions
ㅤ4ㅤ 9 Fractions with the same denominator
ㅤ4ㅤ 10 Fractions with the same numerator
ㅤ4ㅤ 11 Equivalent fractions
ㅤ4ㅤ 12 Equivalent fractions using multiples
ㅤ4ㅤ 13 Equivalent fractions using factors
ㅤ4ㅤ 14 Equivalent fractions on the number line
ㅤ4ㅤ 15 Compare fractions to benchmarks
ㅤ4ㅤ 16 Compare using equivalent fractions
ㅤ4ㅤ 17 Compare using common denominators
ㅤ4ㅤ Multiply, add, and subtract fractions:
ㅤ4ㅤ 18 Intro to multiply, add, and subtract fractions
ㅤ4ㅤ 19 Multiples of unit fractions
ㅤ4ㅤ 20 Multiply a fraction by a whole number
ㅤ4ㅤ 21 Break apart fractions
ㅤ4ㅤ 22 Add fractions
ㅤ4ㅤ 23 Subtract fractions
ㅤ4ㅤ 24 Subtract a fraction from a whole number
ㅤ4ㅤ 25 Add tenths and hundredths
ㅤ4ㅤ Decimals:
ㅤ4ㅤ 26 Intro to decimals
ㅤ4ㅤ 27 Decimals to the tenths
ㅤ4ㅤ 28 Decimals to the hundredths
ㅤ4ㅤ 29 Compare decimals
ㅤ4ㅤ 30 Compare fractions and decimals
ㅤ4ㅤ Place value and rounding:
ㅤ4ㅤ 31 Intro to place value and rounding
ㅤ4ㅤ 32 Read and write numbers
ㅤ4ㅤ 33 Compare digits with place value
ㅤ4ㅤ 34 Use equations with place value
ㅤ4ㅤ 35 Compare numbers using place value
ㅤ4ㅤ 36 Round to the nearest 10 and 100
ㅤ4ㅤ 37 Round up to 100,000
ㅤ4ㅤ Add, subtract, multiply, and divide:
ㅤ4ㅤ 38 Intro to add, subtract, multiply, and divide
ㅤ4ㅤ 39 Addition patterns
ㅤ4ㅤ 40 Add multi-digit numbers
ㅤ4ㅤ 41 Subtract multi-digit numbers
ㅤ4ㅤ 42 Multiplication patterns
ㅤ4ㅤ 43 Interpret multiplication
ㅤ4ㅤ 44 Partial products
ㅤ4ㅤ 45 Multiply by 1-digit numbers
ㅤ4ㅤ 46 Equal groups
ㅤ4ㅤ 47 Partial quotients
ㅤ4ㅤ 48 Divide by 1-digit numbers
ㅤ4ㅤ 49 Divide with remainders
ㅤ4ㅤ Shapes and angles:
ㅤ4ㅤ 50 Intro to shapes and angles
ㅤ4ㅤ 51 Angle diagrams
ㅤ4ㅤ 52 Find angle measures

Grade 5 (7 Groups, 54 units):

ㅤ5ㅤ Multiply and divide:
ㅤ5ㅤ 1 Intro to multiply and divide
ㅤ5ㅤ 2 Multiply by 1-digit numbers
ㅤ5ㅤ 3 Multiply by 2-digit numbers
ㅤ5ㅤ 4 Divide by 1-digit numbers
ㅤ5ㅤ 5 Divide by 2-digit numbers
ㅤ5ㅤ Decimals:
ㅤ5ㅤ 6 Intro to decimals
ㅤ5ㅤ 7 Add tenths
ㅤ5ㅤ 8 Add hundredths
ㅤ5ㅤ 9 Subtract tenths
ㅤ5ㅤ 10 Subtract hundredths
ㅤ5ㅤ 11 Multiply decimals and whole numbers
ㅤ5ㅤ 12 Multiply decimals
ㅤ5ㅤ Fractions:
ㅤ5ㅤ 13 Intro to fractions
ㅤ5ㅤ 14 Common denominators
ㅤ5ㅤ 15 Add fractions with unlike denominators
ㅤ5ㅤ 16 Subtract fractions with unlike denominators
ㅤ5ㅤ 17 Fractions as division
ㅤ5ㅤ 18 Fraction division and multiplication
ㅤ5ㅤ 19 Compare the sizes of products
ㅤ5ㅤ 20 Multiply by a whole number
ㅤ5ㅤ 21 Equivalent fractions
ㅤ5ㅤ 22 Multiply unit fractions
ㅤ5ㅤ 23 Multiply fractions
ㅤ5ㅤ 24 Divide by whole numbers
ㅤ5ㅤ 25 Divide by unit fractions
ㅤ5ㅤ Order of operations:
ㅤ5ㅤ 26 Intro to order of operations
ㅤ5ㅤ 27 Write numeric expressions
ㅤ5ㅤ 28 Evaluate numeric expressions
ㅤ5ㅤ 29 Order of operations
ㅤ5ㅤ 30 Distributive property
ㅤ5ㅤ Place value and rounding:
ㅤ5ㅤ 31 Intro to place value and rounding
ㅤ5ㅤ 32 Intro to place value
ㅤ5ㅤ 33 Place value patterns with 10
ㅤ5ㅤ 34 Place value patterns with decimals
ㅤ5ㅤ 35 Show place value with multiplication
ㅤ5ㅤ 36 Show place value with division
ㅤ5ㅤ 37 Write decimals using place value
ㅤ5ㅤ 38 Compare decimals to the thousandths
ㅤ5ㅤ 39 Unit conversions
ㅤ5ㅤ 40 Unit conversions with decimals
ㅤ5ㅤ 41 Round to the tenths
ㅤ5ㅤ 42 Round to any place
ㅤ5ㅤ Coordinate grid:
ㅤ5ㅤ 43 Intro to coordinate grid
ㅤ5ㅤ 44 Plot points
ㅤ5ㅤ 45 Plot points in quadrant I
ㅤ5ㅤ 46 Tables of patterns
ㅤ5ㅤ 47 Graphs of patterns
ㅤ5ㅤ Shapes and volume:
ㅤ5ㅤ 48 Intro to shapes and volume
ㅤ5ㅤ 49 Properties of shapes
ㅤ5ㅤ 50 Classify shapes
ㅤ5ㅤ 51 Intro to cubes
ㅤ5ㅤ 52 Find cube volume
ㅤ5ㅤ 53 Intro to rectangular prisms
ㅤ5ㅤ 54 Find prism volume

Grade 6 (9 Groups, 92 units):

ㅤ6ㅤ Ratios:
ㅤ6ㅤ 1 Intro to ratios
ㅤ6ㅤ 2 Ratio language
ㅤ6ㅤ 3 Part-to-part ratios
ㅤ6ㅤ 4 Part-part ratios with grids
ㅤ6ㅤ 5 Intro to equivalent ratios
ㅤ6ㅤ 6 Create equivalent ratios
ㅤ6ㅤ 7 Ratio tables
ㅤ6ㅤ 8 Ratios as points
ㅤ6ㅤ Rates:
ㅤ6ㅤ 9 Intro to rates
ㅤ6ㅤ 10 Intro to rates
ㅤ6ㅤ 11 Unit rate
ㅤ6ㅤ 12 Rates in tables
ㅤ6ㅤ 13 Rates as points
ㅤ6ㅤ 14 Unit conversions in the metric system
ㅤ6ㅤ 15 Unit conversions in the customary system
ㅤ6ㅤ Percents:
ㅤ6ㅤ 16 Intro to percents
ㅤ6ㅤ 17 Part-whole ratios
ㅤ6ㅤ 18 Percents as ratios
ㅤ6ㅤ 19 Find the whole using parts and percents
ㅤ6ㅤ 20 Find a percent of a whole
ㅤ6ㅤ 21 Find a part of a whole
ㅤ6ㅤ Negative numbers:
ㅤ6ㅤ 22 Intro to negative numbers
ㅤ6ㅤ 23 Positive and negative numbers
ㅤ6ㅤ 24 Opposites
ㅤ6ㅤ 25 Compare integers with inequalities
ㅤ6ㅤ 26 Order rational numbers
ㅤ6ㅤ 27 Intro to absolute value
ㅤ6ㅤ 28 Calculate with absolute value
ㅤ6ㅤ 29 Ordering with absolute value
ㅤ6ㅤ 30 Inequality language
ㅤ6ㅤ 31 Exclusive inequalities
ㅤ6ㅤ 32 Inclusive inequalities
ㅤ6ㅤ 33 Greatest common factor
ㅤ6ㅤ 34 Least common multiple
ㅤ6ㅤ Coordinate plane:
ㅤ6ㅤ 35 Intro to coordinate plane
ㅤ6ㅤ 36 Intro to the coordinate plane
ㅤ6ㅤ 37 Plot points in all quadrants
ㅤ6ㅤ 38 X-axis reflections
ㅤ6ㅤ 39 Y-axis reflections
ㅤ6ㅤ 40 Horizontal distance
ㅤ6ㅤ 41 Vertical distance
ㅤ6ㅤ 42 Segment length
ㅤ6ㅤ 43 Draw polygons
ㅤ6ㅤ Arithmetic:
ㅤ6ㅤ 44 Intro to arithmetic
ㅤ6ㅤ 45 Divide fractions by unit fractions
ㅤ6ㅤ 46 Divide fractions using reciprocals
ㅤ6ㅤ 47 Decimal addition
ㅤ6ㅤ 48 Decimal subtraction
ㅤ6ㅤ 49 Decimal multiplication
ㅤ6ㅤ Algebra:
ㅤ6ㅤ 50 Intro to algebra
ㅤ6ㅤ 51 Expressions with exponents
ㅤ6ㅤ 52 Evaluate exponential expressions
ㅤ6ㅤ 53 Order of operations
ㅤ6ㅤ 54 Intro to algebraic expressions
ㅤ6ㅤ 55 Evaluate algebraic expressions
ㅤ6ㅤ 56 Equivalent algebraic expressions
ㅤ6ㅤ 57 Combine like terms
ㅤ6ㅤ 58 Distributive property
ㅤ6ㅤ 59 Factor algebraic expressions
ㅤ6ㅤ 60 Addition equations
ㅤ6ㅤ 61 Subtraction equations
ㅤ6ㅤ 62 Multiplication equations
ㅤ6ㅤ 63 Division equations
ㅤ6ㅤ 64 Equations from tables
ㅤ6ㅤ 65 Equations from graphs
ㅤ6ㅤ Area and volume:
ㅤ6ㅤ 66 Intro to area and volume
ㅤ6ㅤ 67 Area of right triangles
ㅤ6ㅤ 68 Area of non-right triangles
ㅤ6ㅤ 69 Area of parallelograms
ㅤ6ㅤ 70 Area of trapezoids
ㅤ6ㅤ 71 Surface area of cubes
ㅤ6ㅤ 72 Surface area of rectangular prisms
ㅤ6ㅤ 73 Surface area of triangular prisms
ㅤ6ㅤ 74 Volume of cubes
ㅤ6ㅤ 75 Volume of rectangular prisms
ㅤ6ㅤ 76 Volume formula
ㅤ6ㅤ Data and averages:
ㅤ6ㅤ 77 Intro to data and averages
ㅤ6ㅤ 78 Dot plots
ㅤ6ㅤ 79 Histograms
ㅤ6ㅤ 80 Mode
ㅤ6ㅤ 81 Find the mean
ㅤ6ㅤ 82 Range
ㅤ6ㅤ 83 Median of odd data sets
ㅤ6ㅤ 84 Median of even data sets
ㅤ6ㅤ 85 Box plots
ㅤ6ㅤ 86 Quartile 1
ㅤ6ㅤ 87 Quartile 3
ㅤ6ㅤ 88 Interquartile range
ㅤ6ㅤ 89 Symmetrical data distributions
ㅤ6ㅤ 90 Right-skewed data distributions
ㅤ6ㅤ 91 Left-skewed data distributions
ㅤ6ㅤ 92 Outliers

Grade 7 (7 Groups, 59 units):

ㅤ7ㅤ Proportions:
ㅤ7ㅤ 1 Intro to proportions
ㅤ7ㅤ 2 Ratio and rate representations
ㅤ7ㅤ 3 Ratios with fractions
ㅤ7ㅤ 4 Scale drawings
ㅤ7ㅤ 5 Proportionality in tables
ㅤ7ㅤ 6 Proportionality in graphs
ㅤ7ㅤ 7 Proportionality in equations
ㅤ7ㅤ Percents:
ㅤ7ㅤ 8 Intro to percents
ㅤ7ㅤ 9 Percent proportions
ㅤ7ㅤ 10 Percent expressions
ㅤ7ㅤ 11 Percent increase
ㅤ7ㅤ 12 Percent decrease
ㅤ7ㅤ Negative numbers:
ㅤ7ㅤ 13 Intro to negative numbers
ㅤ7ㅤ 14 Horizontal number lines
ㅤ7ㅤ 15 Opposites
ㅤ7ㅤ 16 Add on the number line
ㅤ7ㅤ 17 Add with different signs
ㅤ7ㅤ 18 Subtract on the number line
ㅤ7ㅤ 19 Subtract a negative
ㅤ7ㅤ 20 Multiply different signs
ㅤ7ㅤ 21 Multiply the same signs
ㅤ7ㅤ 22 Sign rules for division
ㅤ7ㅤ 23 Solve equations with rational numbers
ㅤ7ㅤ Algebra:
ㅤ7ㅤ 24 Intro to algebra
ㅤ7ㅤ 25 Combine like terms with expressions
ㅤ7ㅤ 26 Distribute expressions
ㅤ7ㅤ 27 Factor expressions
ㅤ7ㅤ 28 Solve equations with inverse operations
ㅤ7ㅤ 29 Solve equations by combining like terms
ㅤ7ㅤ 30 Solve equations with distribution
ㅤ7ㅤ 31 Solve equations with factoring
ㅤ7ㅤ 32 Solve equations with variables on both sides
ㅤ7ㅤ 33 Maintain inequality
ㅤ7ㅤ 34 Solve exclusive inequalities
ㅤ7ㅤ 35 Solve inclusive inequalities
ㅤ7ㅤ Area and volume:
ㅤ7ㅤ 36 Intro to area and volume
ㅤ7ㅤ 37 Trapezoid area
ㅤ7ㅤ 38 Triangular area
ㅤ7ㅤ 39 Surface area of rectangular prisms
ㅤ7ㅤ 40 Surface area of triangular prisms
ㅤ7ㅤ 41 Surface area of triangular pyramids
ㅤ7ㅤ 42 Volume of rectangular prisms
ㅤ7ㅤ 43 Volume of triangular prisms
ㅤ7ㅤ Circles and angles:
ㅤ7ㅤ 44 Intro to circles and angles
ㅤ7ㅤ 45 Intro to circles
ㅤ7ㅤ 46 Circumference of circles
ㅤ7ㅤ 47 Area of circles
ㅤ7ㅤ 48 Complementary angles
ㅤ7ㅤ 49 Supplementary angles
ㅤ7ㅤ 50 Adjacent angles
ㅤ7ㅤ 51 Vertical angles
ㅤ7ㅤ Probability:
ㅤ7ㅤ 52 Intro to probability
ㅤ7ㅤ 53 Represent probability
ㅤ7ㅤ 54 Spinners
ㅤ7ㅤ 55 Non-uniform probability
ㅤ7ㅤ 56 Complement
ㅤ7ㅤ 57 Frequency tables
ㅤ7ㅤ 58 Compound events
ㅤ7ㅤ 59 Find probabilities

Grade 8 (10 Groups, 85 units):

ㅤ8ㅤ Transformations:
ㅤ8ㅤ 1 Intro to transformations
ㅤ8ㅤ 2 Vertical translations
ㅤ8ㅤ 3 Horizontal translations
ㅤ8ㅤ 4 Translate figures
ㅤ8ㅤ 5 Reflect across x-axis
ㅤ8ㅤ 6 Reflect across y-axis
ㅤ8ㅤ 7 Reflect across horizontal lines
ㅤ8ㅤ 8 Reflect across vertical lines
ㅤ8ㅤ 9 Reflect across y=x
ㅤ8ㅤ 10 90-degree counterclockwise rotations
ㅤ8ㅤ 11 90-degree clockwise rotations
ㅤ8ㅤ 12 180-degree rotations
ㅤ8ㅤ 13 Sequences of rigid motion
ㅤ8ㅤ 14 Congruence
ㅤ8ㅤ 15 Dilate points
ㅤ8ㅤ 16 Dilate segments and figures
ㅤ8ㅤ 17 Similarity
ㅤ8ㅤ Slope:
ㅤ8ㅤ 18 Intro to slope
ㅤ8ㅤ 19 Tables of proportional relationships
ㅤ8ㅤ 20 Graphs of proportional relationships
ㅤ8ㅤ 21 Equations of proportional relationships
ㅤ8ㅤ 22 Intro to slope
ㅤ8ㅤ 23 Slope formula
ㅤ8ㅤ 24 Identify y-intercept
ㅤ8ㅤ 25 Slope-intercept form
ㅤ8ㅤ 26 Equations in slope-intercept form
ㅤ8ㅤ 27 Lines with negative slope
ㅤ8ㅤ 28 Lines with zero slope
ㅤ8ㅤ 29 Equations of parallel lines
ㅤ8ㅤ 30 Equations of perpendicular lines
ㅤ8ㅤ Linear equations:
ㅤ8ㅤ 31 Intro to linear equations
ㅤ8ㅤ 32 Solve equations with distribution
ㅤ8ㅤ 33 Solve equations with factoring
ㅤ8ㅤ 34 Solve equations by combining like terms
ㅤ8ㅤ 35 Equations with infinitely many solutions
ㅤ8ㅤ 36 Equations with no solutions
ㅤ8ㅤ 37 Systems of equations
ㅤ8ㅤ Functions:
ㅤ8ㅤ 38 Intro to functions
ㅤ8ㅤ 39 Intro to functions
ㅤ8ㅤ 40 Tables of functions
ㅤ8ㅤ 41 Graphs of functions
ㅤ8ㅤ 42 Linear functions
ㅤ8ㅤ 43 Rate of change
ㅤ8ㅤ 44 Initial value
ㅤ8ㅤ Data:
ㅤ8ㅤ 45 Intro to data
ㅤ8ㅤ 46 Scatter plots
ㅤ8ㅤ 47 Patterns of association
ㅤ8ㅤ 48 Line of best fit
ㅤ8ㅤ 49 Predictions with linear models
ㅤ8ㅤ 50 Two-way tables
ㅤ8ㅤ 51 Marginal relative frequency
ㅤ8ㅤ 52 Joint relative frequency
ㅤ8ㅤ Exponents and roots:
ㅤ8ㅤ 53 Intro to exponents and roots
ㅤ8ㅤ 54 Product rule for exponents
ㅤ8ㅤ 55 Product rule with variables
ㅤ8ㅤ 56 Quotient rule for exponents
ㅤ8ㅤ 57 Quotient rule with variables
ㅤ8ㅤ 58 Negative exponents
ㅤ8ㅤ 59 Negative exponents with variables
ㅤ8ㅤ 60 Powers of 0
ㅤ8ㅤ 61 Square roots
ㅤ8ㅤ 62 Cube roots
ㅤ8ㅤ Scientific notation:
ㅤ8ㅤ 63 Intro to scientific notation
ㅤ8ㅤ 64 Intro to scientific notation
ㅤ8ㅤ 65 Add with scientific notation
ㅤ8ㅤ 66 Subtract with scientific notation
ㅤ8ㅤ 67 Multiply with scientific notation
ㅤ8ㅤ Right triangles:
ㅤ8ㅤ 68 Intro to right triangles
ㅤ8ㅤ 69 Right triangle relationships
ㅤ8ㅤ 70 Find the hypotenuse
ㅤ8ㅤ 71 Find side lengths
ㅤ8ㅤ 72 Rational and irrational numbers
ㅤ8ㅤ 73 Approximate irrational numbers
ㅤ8ㅤ 74 Irrational lengths
ㅤ8ㅤ 75 Triangles on the coordinate plane
ㅤ8ㅤ Volume:
ㅤ8ㅤ 76 Intro to volume
ㅤ8ㅤ 77 Volume of cylinders
ㅤ8ㅤ 78 Volume of cones
ㅤ8ㅤ 79 Volume of spheres
ㅤ8ㅤ Angles and parallel lines:
ㅤ8ㅤ 80 Intro to angles and parallel lines
ㅤ8ㅤ 81 Parallel lines cut by a transversal
ㅤ8ㅤ 82 Alternate interior angles
ㅤ8ㅤ 83 Alternate exterior angles
ㅤ8ㅤ 84 Find angles measures
ㅤ8ㅤ 85 Interior Angles of a Triangle

Grade 9 (14 Groups, 111 units):

ㅤ9ㅤ Algebra:
ㅤ9ㅤ 1 Intro to algebra
ㅤ9ㅤ 2 Create one-variable equations
ㅤ9ㅤ 3 Combine like terms with equations
ㅤ9ㅤ 4 Distribute with equations
ㅤ9ㅤ Linear equations:
ㅤ9ㅤ 5 Intro to linear equations
ㅤ9ㅤ 6 Slope-intercept form of linear equations
ㅤ9ㅤ 7 Graphs in slope-intercept form
ㅤ9ㅤ 8 Standard form of linear equations
ㅤ9ㅤ 9 Intersection point
ㅤ9ㅤ 10 Solve by examination
ㅤ9ㅤ Inequalities:
ㅤ9ㅤ 11 Intro to inequalities
ㅤ9ㅤ 12 Create one-variable inequalities
ㅤ9ㅤ 13 Solve one-variable inequaltiies
ㅤ9ㅤ 14 Compound 'or' inequalities
ㅤ9ㅤ 15 Compound 'and' inequalities
ㅤ9ㅤ 16 Exclusive two-variable linear inequalities
ㅤ9ㅤ 17 Inclusive two-variable linear inequalities
ㅤ9ㅤ 18 Systems of linear inequalities
ㅤ9ㅤ Functions:
ㅤ9ㅤ 19 Intro to functions
ㅤ9ㅤ 20 Inputs and outputs
ㅤ9ㅤ 21 Graphs of functions
ㅤ9ㅤ 22 Tables of functions
ㅤ9ㅤ 23 Vertical intercept of functions
ㅤ9ㅤ 24 Horizontal intercept of functions
ㅤ9ㅤ 25 Rate of change
ㅤ9ㅤ 26 Average rate of change
ㅤ9ㅤ 27 Linear functions
ㅤ9ㅤ 28 Domain of a function
ㅤ9ㅤ 29 Range of a function
ㅤ9ㅤ Piecewise functions:
ㅤ9ㅤ 30 Intro to piecewise functions
ㅤ9ㅤ 31 Graphs of piecewise functions
ㅤ9ㅤ 32 Equations of piecewise functions
ㅤ9ㅤ 33 Average rate of change of piecewise functions
ㅤ9ㅤ 34 Step functions
ㅤ9ㅤ 35 Absolute value functions
ㅤ9ㅤ 36 Symmetry of absolute value functions
ㅤ9ㅤ Inverse functions:
ㅤ9ㅤ 37 Intro to inverse functions
ㅤ9ㅤ 38 Graphs of inverse functions
ㅤ9ㅤ 39 Equations of inverse functions
ㅤ9ㅤ 40 Graphs of inverse linear functions
ㅤ9ㅤ 41 Equations of inverse linear functions
ㅤ9ㅤ Exponents and radicals:
ㅤ9ㅤ 42 Intro to exponents and radicals
ㅤ9ㅤ 43 Product rule
ㅤ9ㅤ 44 Quotient rule
ㅤ9ㅤ 45 Negative exponents
ㅤ9ㅤ 46 Power of 0
ㅤ9ㅤ 47 Power of power rule
ㅤ9ㅤ 48 Radicals and exponents
ㅤ9ㅤ 49 Simplify radicals
ㅤ9ㅤ 50 Product property for radicals
ㅤ9ㅤ 51 Quotient property for radicals
ㅤ9ㅤ 52 Add radicals
ㅤ9ㅤ 53 Subtract radicals
ㅤ9ㅤ 54 Add different radicands
ㅤ9ㅤ 55 Subtract different radicands
ㅤ9ㅤ Polynomials:
ㅤ9ㅤ 56 Intro to polynomials
ㅤ9ㅤ 57 Add and subtract polynomials
ㅤ9ㅤ 58 Multiply polynomials
ㅤ9ㅤ 59 Distribute quadratic expressions
ㅤ9ㅤ 60 Factor quadratic expressions
ㅤ9ㅤ 61 Factor with a leading coefficient
ㅤ9ㅤ Quadratic functions:
ㅤ9ㅤ 62 Intro to quadratic functions
ㅤ9ㅤ 63 Linear versus quadratic
ㅤ9ㅤ 64 Tables of quadratic functions
ㅤ9ㅤ 65 Graphs of quadratic functions
ㅤ9ㅤ 66 Equations of quadratic functions
ㅤ9ㅤ 67 Zeros of quadratic functions
ㅤ9ㅤ 68 Factored form
ㅤ9ㅤ 69 Vertex
ㅤ9ㅤ 70 Vertex form
ㅤ9ㅤ 71 Linear-quadratic
ㅤ9ㅤ 72 Quadratic-quadratic
ㅤ9ㅤ Sequences:
ㅤ9ㅤ 73 Intro to sequences
ㅤ9ㅤ 74 Arithmetic sequences
ㅤ9ㅤ 75 Arithmetic versus geometric
ㅤ9ㅤ 76 Recursive formulas
ㅤ9ㅤ 77 Explicit formulas
ㅤ9ㅤ Exponential functions:
ㅤ9ㅤ 78 Intro to exponential functions
ㅤ9ㅤ 79 Linear, quadratic, and exponential
ㅤ9ㅤ 80 Exponential function tables
ㅤ9ㅤ 81 Exponential function graphs
ㅤ9ㅤ 82 Exponential function equations
ㅤ9ㅤ 83 Exponential growth functions
ㅤ9ㅤ 84 Exponential decay functions
ㅤ9ㅤ Function transformations:
ㅤ9ㅤ 85 Intro to function transformations
ㅤ9ㅤ 86 Vertical translations
ㅤ9ㅤ 87 Horizontal translations
ㅤ9ㅤ 88 Vertical stretches
ㅤ9ㅤ 89 Vertical compressions
ㅤ9ㅤ 90 Horizontal stretches
ㅤ9ㅤ 91 Horizontal compressions
ㅤ9ㅤ 92 Intro to scatter plots
ㅤ9ㅤ Scatter plots:
ㅤ9ㅤ 93 Scatter plots
ㅤ9ㅤ 94 Correlation
ㅤ9ㅤ 95 Linear models
ㅤ9ㅤ 96 Residuals
ㅤ9ㅤ 97 Two-way tables
ㅤ9ㅤ 98 Relative frequencies
ㅤ9ㅤ Statistics:
ㅤ9ㅤ 99 Intro to statistics
ㅤ9ㅤ 100 Dot plots
ㅤ9ㅤ 101 Histograms
ㅤ9ㅤ 102 Mean
ㅤ9ㅤ 103 Median
ㅤ9ㅤ 104 Box plots
ㅤ9ㅤ 105 Quartile 1
ㅤ9ㅤ 106 Quartile 3
ㅤ9ㅤ 107 Interquartile range
ㅤ9ㅤ 108 Symmetrical data
ㅤ9ㅤ 109 Right-skewed data
ㅤ9ㅤ 110 Left-skewed data
ㅤ9ㅤ 111 Outliers

Grade 10 (7 Groups, 75 units):

ㅤ10ㅤ Transformations:
ㅤ10ㅤ 1 Intro to transformations
ㅤ10ㅤ 2 Define translations
ㅤ10ㅤ 3 Perform translations
ㅤ10ㅤ 4 Define reflections
ㅤ10ㅤ 5 Reflect figures
ㅤ10ㅤ 6 Define rotations
ㅤ10ㅤ 7 90-degree counterclockwise rotations
ㅤ10ㅤ 8 90-degree clockwise rotations
ㅤ10ㅤ 9 180-degree rotations
ㅤ10ㅤ 10 Reflectional symmetry
ㅤ10ㅤ 11 Rotational symmetry
ㅤ10ㅤ 12 Define congruence
ㅤ10ㅤ 13 Congruent triangles
ㅤ10ㅤ 14 Define dilations
ㅤ10ㅤ 15 Dilate segments and figures
ㅤ10ㅤ 16 Define similarity
ㅤ10ㅤ Triangles:
ㅤ10ㅤ 17 Intro to triangles
ㅤ10ㅤ 18 Proportional relationships in similar triangles
ㅤ10ㅤ 19 Triangle proportionality theorem
ㅤ10ㅤ 20 Altitude of right triangles
ㅤ10ㅤ 21 Pythagorean theorem
ㅤ10ㅤ 22 Converse of the Pythagorean theorem for acute triangles
ㅤ10ㅤ 23 Converse of the Pythagorean theorem for obtuse triangles
ㅤ10ㅤ Trig ratios:
ㅤ10ㅤ 24 Intro to trig ratios
ㅤ10ㅤ 25 Intro to the sine ratio
ㅤ10ㅤ 26 Sine of 30
ㅤ10ㅤ 27 Sine of 60
ㅤ10ㅤ 28 Sine of 45
ㅤ10ㅤ 29 Intro to the cosine ratio
ㅤ10ㅤ 30 Cosine of 60
ㅤ10ㅤ 31 Cosine of 30
ㅤ10ㅤ 32 Cosine of 45
ㅤ10ㅤ 33 Intro to the tangent ratio
ㅤ10ㅤ 34 Tangent of 45
ㅤ10ㅤ 35 Tangent of 30
ㅤ10ㅤ 36 Tangent of 60
ㅤ10ㅤ 37 Connect sine and cosine
ㅤ10ㅤ 38 Connect sine, cosine, and tangent
ㅤ10ㅤ 39 Law of sines
ㅤ10ㅤ 40 Law of cosines
ㅤ10ㅤ 41 Triangle area using sine
ㅤ10ㅤ Coordinate grid:
ㅤ10ㅤ 42 Intro to coordinate grid
ㅤ10ㅤ 43 Translations as functions
ㅤ10ㅤ 44 Reflections across the x-axis as functions
ㅤ10ㅤ 45 Reflections across the y-axis as functions
ㅤ10ㅤ 46 Reflections across y=x as functions
ㅤ10ㅤ 47 Dilations as functions
ㅤ10ㅤ 48 Lines in point-slope form
ㅤ10ㅤ 49 Lines in different forms
ㅤ10ㅤ 50 Circles on the plane
ㅤ10ㅤ 51 Focus of parabolas
ㅤ10ㅤ 52 Segment addition postulate
ㅤ10ㅤ 53 Line segment midpoint
ㅤ10ㅤ 54 Distance formula
ㅤ10ㅤ 55 Partition a line segment
ㅤ10ㅤ Probability:
ㅤ10ㅤ 56 Intro to probability
ㅤ10ㅤ 57 Probability of simple events
ㅤ10ㅤ 58 Probability of compound events
ㅤ10ㅤ 59 Addition rule
ㅤ10ㅤ 60 Independent events
ㅤ10ㅤ 61 Conditional probability
ㅤ10ㅤ 62 Probability in two-way tables
ㅤ10ㅤ 63 Dependent events
ㅤ10ㅤ 64 Multiplication rule
ㅤ10ㅤ 65 Factorials
ㅤ10ㅤ 66 Permutations
ㅤ10ㅤ 67 Combinations
ㅤ10ㅤ Volume:
ㅤ10ㅤ 68 Intro to volume
ㅤ10ㅤ 69 Rectangular prism volume
ㅤ10ㅤ 70 Triangular prism volume
ㅤ10ㅤ 71 Pyramid volume
ㅤ10ㅤ 72 Cylinder volume
ㅤ10ㅤ 73 Cylinder surface area
ㅤ10ㅤ 74 Cone volume
ㅤ10ㅤ 75 Sphere volume

Grade 11 (8 Groups, 91 units):

ㅤ11ㅤ Functions:
ㅤ11ㅤ 1 Intro to functions
ㅤ11ㅤ 2 Function families
ㅤ11ㅤ 3 Compare function graphs
ㅤ11ㅤ 4 Graphs of piecewise functions
ㅤ11ㅤ 5 Equations of piecewise functions
ㅤ11ㅤ 6 Average rate of change of piecewise functions
ㅤ11ㅤ 7 Step functions
ㅤ11ㅤ 8 Absolute value functions
ㅤ11ㅤ 9 Transform absolute value functions
ㅤ11ㅤ Polynomial functions:
ㅤ11ㅤ 10 Intro to polynomial functions
ㅤ11ㅤ 11 Add and subtract polynomials
ㅤ11ㅤ 12 Multiply polynomials
ㅤ11ㅤ Imaginary numbers:
ㅤ11ㅤ 13 Intro to polynomial functions
ㅤ11ㅤ 14 Relative maxima and minima of polynomial functions
ㅤ11ㅤ 15 Zeros of polynomial functions
ㅤ11ㅤ 16 Multiplicity of polynomial functions
ㅤ11ㅤ 17 End behavior of odd polynomial functions
ㅤ11ㅤ 18 End behavior of even polynomial functions
ㅤ11ㅤ Rational functions:
ㅤ11ㅤ 19 Intro to imaginary numbers
ㅤ11ㅤ 20 The imaginary number, i
ㅤ11ㅤ 21 Square roots of negative numbers
ㅤ11ㅤ 22 Patterns of exponentiating i
ㅤ11ㅤ 23 Multiply complex numbers
ㅤ11ㅤ 24 Complex roots
ㅤ11ㅤ 25 Complex conjugates
ㅤ11ㅤ Exponential functions:
ㅤ11ㅤ 26 Intro to rational functions
ㅤ11ㅤ 27 Intro to rational functions
ㅤ11ㅤ 28 Y-intercept of rational functions
ㅤ11ㅤ 29 X-intercepts of rational functions
ㅤ11ㅤ 30 Vertical asymptotes of rational functions
ㅤ11ㅤ 31 Rewrite rational functions
ㅤ11ㅤ 32 End behavior approaching a horizontal line
ㅤ11ㅤ 33 End behavior approaching y=0
ㅤ11ㅤ 34 End behavior approaching slant asymptotes
ㅤ11ㅤ 35 Add and subtract rational expressions
ㅤ11ㅤ 36 Multiply rational expressions
ㅤ11ㅤ 37 Divide rational expressions
ㅤ11ㅤ 38 Solve rational equations
ㅤ11ㅤ 39 Solve rational equations with extraneous solutions
ㅤ11ㅤ Logarithmic functions:
ㅤ11ㅤ 40 Intro to exponential functions
ㅤ11ㅤ 41 Compare rate of change
ㅤ11ㅤ 42 Exponential function tables
ㅤ11ㅤ 43 Exponential function graphs
ㅤ11ㅤ 44 Exponential function equations
ㅤ11ㅤ 45 Exponential growth
ㅤ11ㅤ 46 Exponential decay
ㅤ11ㅤ 47 Arithmetic and geometric sequences
ㅤ11ㅤ 48 Explicit formulas for geometric sequences
ㅤ11ㅤ 49 Recursive formulas for geometric sequences
ㅤ11ㅤ 50 Partial sums of geometric series
ㅤ11ㅤ 51 Sum formula for geometric series
ㅤ11ㅤ 52 Intro to the natural base
ㅤ11ㅤ 53 Continuous growth models
ㅤ11ㅤ Function transformations:
ㅤ11ㅤ 54 Intro to logarithmic functions
ㅤ11ㅤ 55 Intro to logarithms
ㅤ11ㅤ 56 Logarithm value
ㅤ11ㅤ 57 Product rule
ㅤ11ㅤ 58 Quotient rule
ㅤ11ㅤ 59 Power rule
ㅤ11ㅤ 60 Change of base formula
ㅤ11ㅤ 61 Intro to logarithmic functions
ㅤ11ㅤ 62 Logarithmic functions in base 10
ㅤ11ㅤ 63 Logarithmic functions in base 2
ㅤ11ㅤ 64 Logarithmic function graphs
ㅤ11ㅤ 65 Logarithmic function intercepts
ㅤ11ㅤ 66 The natural logarithm
ㅤ11ㅤ 67 Natural logarithm graphs
ㅤ11ㅤ 68 Solve exponential equations using logarithms
ㅤ11ㅤ 69 Solve base e equations using logarithms
ㅤ11ㅤ Function transformations:
ㅤ11ㅤ 70 Intro to function transformations
ㅤ11ㅤ 71 Inverse function equations
ㅤ11ㅤ 72 Inverse function graphs
ㅤ11ㅤ 73 Combine functions
ㅤ11ㅤ 74 Function composition
ㅤ11ㅤ 75 Vertical translations
ㅤ11ㅤ 76 Horizontal translations
ㅤ11ㅤ 77 X-axis function reflections
ㅤ11ㅤ 78 Y-axis function reflections
ㅤ11ㅤ 79 Vertical stretches
ㅤ11ㅤ 80 Vertical compressions
ㅤ11ㅤ 81 Horizontal stretches
ㅤ11ㅤ 82 Horizontal compressions
ㅤ11ㅤ Trig functions:
ㅤ11ㅤ 83 Intro to trig functions
ㅤ11ㅤ 84 Intro to the sine function
ㅤ11ㅤ 85 Period of sine functions
ㅤ11ㅤ 86 Intro to the cosine function
ㅤ11ㅤ 87 Period of cosine functions
ㅤ11ㅤ 88 Midline of sine and cosine functions
ㅤ11ㅤ 89 Amplitude of sine and cosine functions
ㅤ11ㅤ 90 Intro to the tangent function
ㅤ11ㅤ 91 Period of tangent functions

Grade 12 (7 Groups, 75 Units):

ㅤ12ㅤ Polynomial functions:
ㅤ12ㅤ 1 Intro to polynomial functions
ㅤ12ㅤ 2 Polynomial function graphs
ㅤ12ㅤ 3 Roots of polynomial functions
ㅤ12ㅤ 4 Rational root theorem
ㅤ12ㅤ 5 Polynomial function equations from graphs
ㅤ12ㅤ 6 Vieta's formula for quadratic polynomials
ㅤ12ㅤ 7 Vieta's formula for cubic polynomials
ㅤ12ㅤ Rational functions:
ㅤ12ㅤ 8 Intro to rational functions
ㅤ12ㅤ 9 Zeros of rational functions
ㅤ12ㅤ 10 Vertical asymptotes of rational functions
ㅤ12ㅤ 11 Horizontal asymptotes of rational functions
ㅤ12ㅤ 12 Holes in rational functions
ㅤ12ㅤ 13 Slant asymptotes of rational functions
ㅤ12ㅤ Function equations:
ㅤ12ㅤ 14 Intro to function equations
ㅤ12ㅤ 15 Function composition
ㅤ12ㅤ 16 Inverse functions
ㅤ12ㅤ 17 Properties of logarithms
ㅤ12ㅤ 18 Undo exponentials
ㅤ12ㅤ 19 Domain and range
ㅤ12ㅤ 20 Graphing inverses
ㅤ12ㅤ Trig functions:
ㅤ12ㅤ 21 Intro to trig functions
ㅤ12ㅤ 22 Period of sinusoidal functions
ㅤ12ㅤ 23 Midline of sinusoidal functions
ㅤ12ㅤ 24 Amplitude of sinusoidal functions
ㅤ12ㅤ 25 Phase shift of sinusoidal functions
ㅤ12ㅤ 26 Relate sine and cosine
ㅤ12ㅤ Vectors and matrices:
ㅤ12ㅤ 27 Intro to vectors and matrices
ㅤ12ㅤ 28 Seeing vectors
ㅤ12ㅤ 29 Representing vectors
ㅤ12ㅤ 30 Component vectors
ㅤ12ㅤ 31 Magnitude and direction
ㅤ12ㅤ 32 Add vectors
ㅤ12ㅤ 33 Subtract vectors
ㅤ12ㅤ 34 Scale vectors
ㅤ12ㅤ 35 Unit vectors
ㅤ12ㅤ 36 Calculate dot product
ㅤ12ㅤ 37 Orthogonality
ㅤ12ㅤ 38 Intro to matrices
ㅤ12ㅤ 39 Size of a matrix
ㅤ12ㅤ 40 Add and subtract matrices
ㅤ12ㅤ 41 Scale matrices
ㅤ12ㅤ 42 Basis vectors
ㅤ12ㅤ 43 Transform basis vectors
ㅤ12ㅤ 44 Matrices as transformations
ㅤ12ㅤ 45 Matrices transform vectors
ㅤ12ㅤ Derivatives:
ㅤ12ㅤ 46 Intro to derivatives
ㅤ12ㅤ 47 Concept of a limit
ㅤ12ㅤ 48 Calculate limits with graphs
ㅤ12ㅤ 49 Calculate limits with equations
ㅤ12ㅤ 50 Infinite limits and asymptotes
ㅤ12ㅤ 51 Definition of continuity
ㅤ12ㅤ 52 Examples of discontinuity
ㅤ12ㅤ 53 Intermediate value theorem
ㅤ12ㅤ 54 Secant lines
ㅤ12ㅤ 55 Derivative as the instantaneous rate of change
ㅤ12ㅤ 56 Limit definition of the derivative
ㅤ12ㅤ 57 Differentiability
ㅤ12ㅤ 58 Derivatives of linear terms
ㅤ12ㅤ 59 Derivatives of quadratic terms
ㅤ12ㅤ 60 Power rule for derivatives
ㅤ12ㅤ 61 Sum rule for derivatives
ㅤ12ㅤ 62 Derivatives of trigonometric functions
ㅤ12ㅤ 63 Derivatives of exponential functions
ㅤ12ㅤ 64 Derivatives of logarithmic functions
ㅤ12ㅤ 65 The product rule
ㅤ12ㅤ 66 The quotient rule
ㅤ12ㅤ 67 The chain rule
ㅤ12ㅤ 68 Using the chain rule
ㅤ12ㅤ Integrals:
ㅤ12ㅤ 69 Intro to integrals
ㅤ12ㅤ 70 Left Riemann sums
ㅤ12ㅤ 71 Right Riemann sums
ㅤ12ㅤ 72 Derivative as an operation
ㅤ12ㅤ 73 Antiderivatives
ㅤ12ㅤ 74 Indefinite integral
ㅤ12ㅤ 75 Common antiderivatives

ㅤㅤ Trophy


Arithmetic 1 (17 Units)
Arithmetic 2 (18 Units)
Geometry (26 Units)
Algebra (23 Units)
Algebraic Graphing (37 Units)
Stadistics (17 Units)
Calculus (10 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 (26 Units):

ㅤ3ㅤ 1 Polygon area
ㅤ3ㅤ 2 Rectangular surface area
ㅤ3ㅤ 3 Volume
ㅤ3ㅤ 4 Cylinders
ㅤ3ㅤ 5 Cones and spheres
ㅤ3ㅤ 6 Coordinate grid
ㅤ3ㅤ 7 Absolute value and distance
ㅤ3ㅤ 8 Circles
ㅤ3ㅤ 9 Angle relationships
ㅤ3ㅤ 10 Angles with parallel lines
ㅤ3ㅤ 11 Translations
ㅤ3ㅤ 12 Reflections
ㅤ3ㅤ 13 Rotations
ㅤ3ㅤ 14 Congruence
ㅤ3ㅤ 15 Dilations and similarity
ㅤ3ㅤ 16 Symmetry
ㅤ3ㅤ 17 Triangles
ㅤ3ㅤ 18 Similar triangles and angles
ㅤ3ㅤ 19 The Pythagorean theorem
ㅤ3ㅤ 20 Sine ratio
ㅤ3ㅤ 21 Cosine ratio
ㅤ3ㅤ 22 Tangent ratio
ㅤ3ㅤ 23 Sine function
ㅤ3ㅤ 24 Cosine function
ㅤ3ㅤ 25 Tangent function
ㅤ3ㅤ 26 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 Rewrite and evaluate expressions
ㅤ4ㅤ 9 Two-step equations
ㅤ4ㅤ 10 Solve linear equations
ㅤ4ㅤ 11 Number of solutions
ㅤ4ㅤ 12 Inequalities
ㅤ4ㅤ 13 Two-step inequalities
ㅤ4ㅤ 14 Rewrite polynomial expressions
ㅤ4ㅤ 15 Factor quadratic expressions
ㅤ4ㅤ 16 Radical equations
ㅤ4ㅤ 17 Geometric sequences
ㅤ4ㅤ 18 Logarithms
ㅤ4ㅤ 19 Product and quotient rules
ㅤ4ㅤ 20 Properties of logarithms
ㅤ4ㅤ 21 Solve logarithmic and exponential equations
ㅤ4ㅤ 22 Rational expression arithmetic
ㅤ4ㅤ 23 Rational equations

Algebraic Graphing (37 Units):

ㅤ5ㅤ 1 Graphing relationships
ㅤ5ㅤ 2 Graphs of proportional relationships
ㅤ5ㅤ 3 Slope
ㅤ5ㅤ 4 Slope-intercept lines
ㅤ5ㅤ 5 Slope of lines
ㅤ5ㅤ 6 Intro to functions
ㅤ5ㅤ 7 Rate of change
ㅤ5ㅤ 8 Linear functions
ㅤ5ㅤ 9 Function notation
ㅤ5ㅤ 10 Piecewise-defined functions
ㅤ5ㅤ 11 Step and absolute value functions
ㅤ5ㅤ 12 Intro to quadratic functions
ㅤ5ㅤ 13 Quadratic graphs and equations
ㅤ5ㅤ 14 Factored form of quadratics
ㅤ5ㅤ 15 Vertex form of quadratics
ㅤ5ㅤ 16 Intro to exponential functions
ㅤ5ㅤ 17 Exponential graphs and equations
ㅤ5ㅤ 18 Exponential rate of change
ㅤ5ㅤ 19 Exponential growth and decay
ㅤ5ㅤ 20 The natural base, e
ㅤ5ㅤ 21 Logarithmic functions
ㅤ5ㅤ 22 Logarithmic function graphs
ㅤ5ㅤ 23 Natural logarithmic function
ㅤ5ㅤ 24 Inverse linear functions
ㅤ5ㅤ 25 Function translations
ㅤ5ㅤ 26 Vertical function scaling
ㅤ5ㅤ 27 Horizontal function scaling
ㅤ5ㅤ 28 Reflections of functions
ㅤ5ㅤ 29 Two-variable linear inequalities
ㅤ5ㅤ 30 Systems of equations with quadratics
ㅤ5ㅤ 31 Polynomial function equations
ㅤ5ㅤ 32 Polynomial function graphs
ㅤ5ㅤ 33 Polynomial graphs and roots
ㅤ5ㅤ 34 Rational function equations and graphs
ㅤ5ㅤ 35 Rewrite and graph rational functions
ㅤ5ㅤ 36 Rational function asymptotes
ㅤ5ㅤ 37 Holes and slant asymptotes

Stadistics (17 Units):

ㅤ6ㅤ 1 Visualize data
ㅤ6ㅤ 2 Measures of center
ㅤ6ㅤ 3 Variability in data
ㅤ6ㅤ 4 Median, IQR, and box plots
ㅤ6ㅤ 5 Data distributions
ㅤ6ㅤ 6 Box plots
ㅤ6ㅤ 7 Intro to probability
ㅤ6ㅤ 8 Probability models
ㅤ6ㅤ 9 Compound events
ㅤ6ㅤ 10 Probability events
ㅤ6ㅤ 11 Independent events
ㅤ6ㅤ 12 Dependent events
ㅤ6ㅤ 13 Intro to scatter plots
ㅤ6ㅤ 14 Scatter plots and trend lines
ㅤ6ㅤ 15 Linear models
ㅤ6ㅤ 16 Linear model fitness
ㅤ6ㅤ 17 Bivariate categorical data

Calculus (10 Units):

ㅤ7ㅤ 1 Limits
ㅤ7ㅤ 2 Continuity
ㅤ7ㅤ 3 Instantaneous rate of change
ㅤ7ㅤ 4 Definition of the derivative
ㅤ7ㅤ 5 Intro to derivative rules
ㅤ7ㅤ 6 Derivatives of more functions
ㅤ7ㅤ 7 Product and quotient rules
ㅤ7ㅤ 8 Chain rule
ㅤ7ㅤ 9 Intro to Riemann sums
ㅤ7ㅤ 10 Antiderivatives

ㅤㅤ Trophy

Edited by Mat!/Ozone, 2026/11/09.