High School Maths for Data Science

High School Maths for Data Science

Algebra I

1. How to graph an ordered pair
2. How to find the equation of a circle
3. How to find the equation of a curve
4. How to find x or y intercept
5. How to find the endpoints of a line segment
6. How to find the length of a line with distance formula
7. How to find the midpoint of a line segment
8. How to find out if lines are parallel
9. How to find the equation of a parallel line
10. How to find the slope of parallel lines
11. How to find out if lines are perpendicular
12. How to find the equation of a perpendicular line
13. How to find the slope of a perpendicular line

Algebra II

1. Setting up Equations
2. Simplifying Equations
3. Solving Equations
4. Setting up Expressions
5. Simplifying Expressions
6. Solving Inequalities
7. Understanding Direct Proportionality
8. Understanding Indirect Proportionality
9. Understanding Mean, Median, and Mode
10. Understanding Range
11. Understanding Normal Distributions
12. Understanding Z-Scores
13. Identifying Variables and Relationships
14. Using Box and Whisker Plots
15. Using Scatter Plots
16. Understanding Quartiles and Percentiles
17. Understanding Standard Deviation
18. Understanding Variance
19. Understanding Domain and Range
20. Understanding Functional Notations
21. Understanding Inverse Functions
22. Understanding Transformation
23. Graphing Linear Functions
24. Transformations of Linear Functions
25. Understanding Vertical and Horizontal Lines
26. Transformations of Polynomial Functions
27. Understanding Polynomial Functions
28. Finding the Center and Radius
29. Graphing Circle Functions
30. Understanding Circle Functions
31. Understanding Parabolic Functions
32. Factoring Polynomials
33. Simplifying Polynomials
34. Solving Non-Quadratic Polynomials
35. Understanding Polynomials
36. Completing the Square
37. Finding Roots
38. Solving Quadratic Inequalities
39. Using the Quadratic Formula
40. Simplifying and Expanding Quadratic Equations
41. Understanding Quadratic Roots
42. Understanding the Discriminant
43. Using FOIL
44. Simplifying Rational Expressions
45. Solving Rational Equations and Inequalities
46. Understanding Rational Expressions
47. Graphing Absolute Value
48. Solving Absolute Value Equations
49. Understanding Absolute Value
50. Understanding Addition and Subtraction
51. Understanding Multiplication and Division
52. Distributing Exponents
53. Multiplying and Dividing Exponents
54. Graphing Exponential Functions
55. Solving Exponential Equations
56. Understanding Asymptotes
57. Understanding Fractional Exponents
58. Understanding Negative Exponents
59. Multiplying and Dividing Factorials
60. Understanding Factorials
61. Understanding Imaginary and Complex Numbers
62. Using Expressions with Complex Numbers
63. Multiplying and dividing Logarithms
64. Using Logarithms with Exponents
65. Solving Logarithmic Equations
66. Using Natural Log and Log-Base-10
67. Factoring Radicals
68. Using Radicals with Elementary Operations
69. Solving Radical Equations and Inequalities
70. Expressing Radicals as Exponents
71. Understanding Square Roots
72. Understanding Arithmetic Series
73. Understanding Geometric Sequences
74. Understanding Sequences
75. Understanding Number Lines
76. Understanding Number Sets
77. Understanding Real Numbers

Calculus I — Derivatives

1. Finding Regions of Concavity and Convexity
2. Finding Regions of Increasing and Decreasing Value
3. Finding Derivative at a Point
4. Finding Derivative of a Function
5. Finding Second Derivative of a Function
6. Using the Chain Rule
7. Understanding Derivatives of Exponents
8. Understanding Derivatives of Sums, Quotients, and Products
9. Understanding Derivatives of Trigonometric Functions
10. Using Implicit Differentiation
11. Conceptualizing Derivatives
12. Understanding Integrals of Sums, Quotients, and Products
13. Calculating Limits
14. Identifying Absolute and Local Extrema
15. Identifying Slope at a Point

Calculus II — Integrals

1. Finding First and Second Derivatives
2. Understanding L’Hospital’s Rule
3. Finding Definite Integrals
4. Finding Indefinite Integrals
5. Finding Integrals by Substitution
6. Using Limits with Continuity
7. Understanding Polar Coordinates
8. Understanding Vector Calculations
9. Understanding Vector Coordinates
10. Applying Taylor Series
11. Understanding Maclaurin Series
12. Understanding Taylor Series

Geometry

1. How to find the angle of clock hands
2. How to find the length of the diameter
3. How to find the ratio of diameter and circumference
4. How to find circumference
5. How to find the area of a circle
6. How to find the length of a radius
7. How to find the angle for a percentage of a circle
8. How to find the angle of a sector
9. How to find the area of a sector
10. How to find the length of an arc
11. How to find the percentage of a sector from an angle
12. How to find an angle in a hexagon
13. How to find the area of a hexagon
14. How to find the length of the diagonal of a hexagon
15. How to find the perimeter of a hexagon
16. How to find an angle of a line
17. How to find an angle in a polygon
18. How to find the area of a polygon
19. How to find the length of a side of a polygon
20. How to find the perimeter of a polygon
21. How to find an angle in a pentagon
22. How to find the area of a pentagon
23. How to find the length of the diagonal of a pentagon
24. How to find the length of the side of a pentagon
25. How to find the perimeter of a pentagon
26. How to find the area of a kite
27. How to find the perimeter of kite
28. How to find if quadrilaterals are similar
29. How to find an angle in a parallelogram
30. How to find the area of a parallelogram
31. How to find the perimeter of a parallelogram
32. How to find if rectangles are similar
33. How to find the area of a rectangle
34. How to find the length of the diagonal of a rectangle
35. How to find the length of the side of a rectangle
36. How to find the perimeter of a rectangle
37. How to find if rhombuses are similar
38. How to find the area of a rhombus
39. How to find the perimeter of a rhombus
40. How to find the area of a square
41. How to find the length of the diagonal of a square
42. How to find the length of the side of a square
43. How to find the perimeter of a square
44. How to find an angle in a trapezoid
45. How to find the area of a trapezoid
46. How to find the length of the side of a trapezoid
47. How to find the perimeter of a trapezoid
48. How to find an angle in an acute / obtuse triangle
49. How to find if two acute / obtuse triangles are similar
50. How to find the area of an acute / obtuse triangle
51. How to find the height of an acute / obtuse triangle
52. How to find the length of the hypotenuse of an acute / obtuse triangle
53. How to find the length of the side of an acute / obtuse triangle
54. How to find the perimeter of an acute / obtuse triangle
55. How to find the area of an equilateral triangle
56. How to find the height of an equilateral triangle
57. How to find the length of the side of an equilateral triangle
58. How to find the perimeter of an equilateral triangle
59. How to find the area of a 45/45/90 right isosceles triangle
60. How to find the length of the hypotenuse of a 45/45/90 right isosceles triangle : Pythagorean Theorem
61. How to find the length of the side of a 45/45/90 right isosceles triangle
62. How to find the perimeter of a 45/45/90 right isosceles triangle
63. How to find an angle in an acute / obtuse isosceles triangle
64. How to find the height of of an acute / obtuse isosceles triangle
65. How to find the length of the side of of an acute / obtuse isosceles triangle
66. How to find the perimeter of an acute / obtuse isosceles triangle
67. How to find an angle in a right triangle
68. How to find if right triangles are similar
69. How to find the area of a right triangle
70. How to find the length of the hypotenuse of a right triangle : Pythagorean Theorem
71. How to find the length of the side of a right triangle
72. How to find the perimeter of a right triangle

Solid Geometry

1. How to find the surface area of a cone
2. How to find the volume of a cone
3. How to find the diagonal of a cube
4. How to find the length of an edge of a cube
5. How to find the surface area of a cube
6. How to find the volume of a cube
7. How to find the surface area of a cylinder
8. How to find the volume of a cylinder
9. How to find the length of an edge of a prism
10. How to find the surface area of a prism
11. How to find the volume of a prism
12. How to find the surface area of a polyhedron
13. How to find the volume of a polyhedron
14. How to find the surface area of a pyramid
15. How to find the volume of a pyramid
16. How to find the diameter of a sphere
17. How to find the radius of a sphere
18. How to find the surface area of a sphere
19. How to find the volume of a sphere

Pre-Algebra

1. How to solve one-step equations with decimals in pre-algebra
2. How to solve one-step equations with fractions in pre-algebra
3. How to solve one-step equations with integers in pre-algebra
4. How to solve two-step equations with decimals in pre-algebra
5. How to solve two-step equations with fractions in pre-algebra
6. How to solve two-step equations with integers in pre-algebra
7. How to write an algebraic equation in pre-algebra
8. How to do word problems where one quantity is unknown
9. How to do word problems where two quantities are unknown
10. How to find the area of a circle in pre-algebra
11. How to find the area of a parallelogram in pre-algebra
12. How to find the area of a rectangle in pre-algebra
13. How to find the area of a square in pre-algebra
14. How to find the area of a triangle in pre-algebra
15. How to find the circumference of a circle in pre-algebra
16. How to find the perimeter of a rectangle in pre-algebra
17. How to find the perimeter of a square in pre-algebra
18. How to find the perimeter of a triangle in pre-algebra
19. How to find the volume of a cone in pre-algebra
20. How to find the volume of a cylinder in pre-algebra
21. How to find the volume of a pyramid in pre-algebra
22. How to find the volume of a rectangular solid in pre-algebra
23. How to find the volume of a sphere in pre-algebra
24. How to graph a line in pre-algebra
25. How to graph a point in pre-algebra
26. How to identify a point in pre-algebra
27. How to add and subtract integers in pre-algebra
28. How to combine like terms with negative numbers in pre-algebra
29. How to compare integers in pre-algebra
30. How to define integers in pre-algebra
31. How to do absolute value in pre-algebra
32. How to multiply and divide integers in pre-algebra
33. How to add and subtract polynomials in pre-algebra
34. How to divide polynomials in pre-algebra
35. How to use the power rule for exponents in pre-algebra
36. How to use the product rule for exponents in pre-algebra
37. How to multiply polynomials in pre-algebra
38. How to solve a polynomial in pre-algebra
39. How to combine like terms in pre-algebra
40. How to do exponents in pre-algebra
41. How to use the distributive property in pre-algebra
42. How to use the order of operations in pre-algebra

Pre-Calculus

1. Solving Circle Functions
2. Graphing Ellipses
3. Graphing Hyperbolas
4. Solving Hyperbola Functions
5. Graphing Parabolic Functions
6. Solving Parabola Functions
7. Simplifying Exponential Functions
8. Simplifying Logarithms
9. Solving Logarithms
10. Finding Asymptotes
11. Finding Domain and Range
12. Finding Maxima and Minima
13. Finding Symmetries
14. Finding Zeros of a Polynomial
15. Simplifying Polynomial Functions
16. Understanding Zeros of a Polynomial
17. Finding Limits
18. Finding Limits as X Approaches Infinity
19. Finding One-Sided Limits
20. Understanding the Definition of Limits
21. Finding Partial Sums in a Series
22. Finding Sums of Infinite Series
23. Finding Terms in a Series
24. Understanding Arithmetic and Geometric Series
25. Using Sigma Notation

Trigonometry

1. Understanding Angles
2. Understanding Angles in Different Quadrants
3. Understanding Complementary and Suplmentary Angles
4. Understanding Coterminal Angles
5. Understanding Angles in the Unit Circle
6. Understanding Radians and Conversions
7. Using the Unit Circle
8. Applying the Law of Cosines
9. Applying the Law of Sines
10. Applying Trigonometric Functions
11. Understanding 30-60-90 Triangles
12. Finding Sides
13. Solving Trigonometric Equations
14. Simplifying Trigonometric Functions
15. Understanding Trigonometric Functions
16. Understanding Period and Amplitude
17. Using Basic and Definitional Identities
18. Using Identities of Inverse Operations
19. Using Identities of Squared Functions
20. Using Pythagorean Identities
21. Using Sum and Product Identities
22. Understanding Arcsine, Arccosine, and Arctangent
23. Understanding Secant, Cosecant, and Cotangent
24. Understanding Sine, Cosine, and Tangent