# High School Maths for Data Science

# High School Maths for Data Science

## Algebra I

- How to graph an ordered pair
- How to find the equation of a circle
- How to find the equation of a curve
- How to find x or y intercept
- How to find the endpoints of a line segment
- How to find the length of a line with distance formula
- How to find the midpoint of a line segment
- How to find out if lines are parallel
- How to find the equation of a parallel line
- How to find the slope of parallel lines
- How to find out if lines are perpendicular
- How to find the equation of a perpendicular line
- How to find the slope of a perpendicular line

## Algebra II

- Setting up Equations
- Simplifying Equations
- Solving Equations
- Setting up Expressions
- Simplifying Expressions
- Solving Inequalities
- Understanding Direct Proportionality
- Understanding Indirect Proportionality
- Understanding Mean, Median, and Mode
- Understanding Range
- Understanding Normal Distributions
- Understanding Z-Scores
- Identifying Variables and Relationships
- Using Box and Whisker Plots
- Using Scatter Plots
- Understanding Quartiles and Percentiles
- Understanding Standard Deviation
- Understanding Variance
- Understanding Domain and Range
- Understanding Functional Notations
- Understanding Inverse Functions
- Understanding Transformation
- Graphing Linear Functions
- Transformations of Linear Functions
- Understanding Vertical and Horizontal Lines
- Transformations of Polynomial Functions
- Understanding Polynomial Functions
- Finding the Center and Radius
- Graphing Circle Functions
- Understanding Circle Functions
- Understanding Parabolic Functions
- Factoring Polynomials
- Simplifying Polynomials
- Solving Non-Quadratic Polynomials
- Understanding Polynomials
- Completing the Square
- Finding Roots
- Solving Quadratic Inequalities
- Using the Quadratic Formula
- Simplifying and Expanding Quadratic Equations
- Understanding Quadratic Roots
- Understanding the Discriminant
- Using FOIL
- Simplifying Rational Expressions
- Solving Rational Equations and Inequalities
- Understanding Rational Expressions
- Graphing Absolute Value
- Solving Absolute Value Equations
- Understanding Absolute Value
- Understanding Addition and Subtraction
- Understanding Multiplication and Division
- Distributing Exponents
- Multiplying and Dividing Exponents
- Graphing Exponential Functions
- Solving Exponential Equations
- Understanding Asymptotes
- Understanding Fractional Exponents
- Understanding Negative Exponents
- Multiplying and Dividing Factorials
- Understanding Factorials
- Understanding Imaginary and Complex Numbers
- Using Expressions with Complex Numbers
- Multiplying and dividing Logarithms
- Using Logarithms with Exponents
- Solving Logarithmic Equations
- Using Natural Log and Log-Base-10
- Factoring Radicals
- Using Radicals with Elementary Operations
- Solving Radical Equations and Inequalities
- Expressing Radicals as Exponents
- Understanding Square Roots
- Understanding Arithmetic Series
- Understanding Geometric Sequences
- Understanding Sequences
- Understanding Number Lines
- Understanding Number Sets
- Understanding Real Numbers

## Calculus I — Derivatives

- Finding Regions of Concavity and Convexity
- Finding Regions of Increasing and Decreasing Value
- Finding Derivative at a Point
- Finding Derivative of a Function
- Finding Second Derivative of a Function
- Using the Chain Rule
- Understanding Derivatives of Exponents
- Understanding Derivatives of Sums, Quotients, and Products
- Understanding Derivatives of Trigonometric Functions
- Using Implicit Differentiation
- Conceptualizing Derivatives
- Understanding Integrals of Sums, Quotients, and Products
- Calculating Limits
- Identifying Absolute and Local Extrema
- Identifying Slope at a Point

## Calculus II — Integrals

- Finding First and Second Derivatives
- Understanding L’Hospital’s Rule
- Finding Definite Integrals
- Finding Indefinite Integrals
- Finding Integrals by Substitution
- Using Limits with Continuity
- Understanding Polar Coordinates
- Understanding Vector Calculations
- Understanding Vector Coordinates
- Applying Taylor Series
- Understanding Maclaurin Series
- Understanding Taylor Series

## Geometry

- How to find the angle of clock hands
- How to find the length of the diameter
- How to find the ratio of diameter and circumference
- How to find circumference
- How to find the area of a circle
- How to find the length of a radius
- How to find the angle for a percentage of a circle
- How to find the angle of a sector
- How to find the area of a sector
- How to find the length of an arc
- How to find the percentage of a sector from an angle
- How to find an angle in a hexagon
- How to find the area of a hexagon
- How to find the length of the diagonal of a hexagon
- How to find the perimeter of a hexagon
- How to find an angle of a line
- How to find an angle in a polygon
- How to find the area of a polygon
- How to find the length of a side of a polygon
- How to find the perimeter of a polygon
- How to find an angle in a pentagon
- How to find the area of a pentagon
- How to find the length of the diagonal of a pentagon
- How to find the length of the side of a pentagon
- How to find the perimeter of a pentagon
- How to find the area of a kite
- How to find the perimeter of kite
- How to find if quadrilaterals are similar
- How to find an angle in a parallelogram
- How to find the area of a parallelogram
- How to find the perimeter of a parallelogram
- How to find if rectangles are similar
- How to find the area of a rectangle
- How to find the length of the diagonal of a rectangle
- How to find the length of the side of a rectangle
- How to find the perimeter of a rectangle
- How to find if rhombuses are similar
- How to find the area of a rhombus
- How to find the perimeter of a rhombus
- How to find the area of a square
- How to find the length of the diagonal of a square
- How to find the length of the side of a square
- How to find the perimeter of a square
- How to find an angle in a trapezoid
- How to find the area of a trapezoid
- How to find the length of the side of a trapezoid
- How to find the perimeter of a trapezoid
- How to find an angle in an acute / obtuse triangle
- How to find if two acute / obtuse triangles are similar
- How to find the area of an acute / obtuse triangle
- How to find the height of an acute / obtuse triangle
- How to find the length of the hypotenuse of an acute / obtuse triangle
- How to find the length of the side of an acute / obtuse triangle
- How to find the perimeter of an acute / obtuse triangle
- How to find the area of an equilateral triangle
- How to find the height of an equilateral triangle
- How to find the length of the side of an equilateral triangle
- How to find the perimeter of an equilateral triangle
- How to find the area of a 45/45/90 right isosceles triangle
- How to find the length of the hypotenuse of a 45/45/90 right isosceles triangle : Pythagorean Theorem
- How to find the length of the side of a 45/45/90 right isosceles triangle
- How to find the perimeter of a 45/45/90 right isosceles triangle
- How to find an angle in an acute / obtuse isosceles triangle
- How to find the height of of an acute / obtuse isosceles triangle
- How to find the length of the side of of an acute / obtuse isosceles triangle
- How to find the perimeter of an acute / obtuse isosceles triangle
- How to find an angle in a right triangle
- How to find if right triangles are similar
- How to find the area of a right triangle
- How to find the length of the hypotenuse of a right triangle : Pythagorean Theorem
- How to find the length of the side of a right triangle
- How to find the perimeter of a right triangle

## Solid Geometry

- How to find the surface area of a cone
- How to find the volume of a cone
- How to find the diagonal of a cube
- How to find the length of an edge of a cube
- How to find the surface area of a cube
- How to find the volume of a cube
- How to find the surface area of a cylinder
- How to find the volume of a cylinder
- How to find the length of an edge of a prism
- How to find the surface area of a prism
- How to find the volume of a prism
- How to find the surface area of a polyhedron
- How to find the volume of a polyhedron
- How to find the surface area of a pyramid
- How to find the volume of a pyramid
- How to find the diameter of a sphere
- How to find the radius of a sphere
- How to find the surface area of a sphere
- How to find the volume of a sphere

## Pre-Algebra

- How to solve one-step equations with decimals in pre-algebra
- How to solve one-step equations with fractions in pre-algebra
- How to solve one-step equations with integers in pre-algebra
- How to solve two-step equations with decimals in pre-algebra
- How to solve two-step equations with fractions in pre-algebra
- How to solve two-step equations with integers in pre-algebra
- How to write an algebraic equation in pre-algebra
- How to do word problems where one quantity is unknown
- How to do word problems where two quantities are unknown
- How to find the area of a circle in pre-algebra
- How to find the area of a parallelogram in pre-algebra
- How to find the area of a rectangle in pre-algebra
- How to find the area of a square in pre-algebra
- How to find the area of a triangle in pre-algebra
- How to find the circumference of a circle in pre-algebra
- How to find the perimeter of a rectangle in pre-algebra
- How to find the perimeter of a square in pre-algebra
- How to find the perimeter of a triangle in pre-algebra
- How to find the volume of a cone in pre-algebra
- How to find the volume of a cylinder in pre-algebra
- How to find the volume of a pyramid in pre-algebra
- How to find the volume of a rectangular solid in pre-algebra
- How to find the volume of a sphere in pre-algebra
- How to graph a line in pre-algebra
- How to graph a point in pre-algebra
- How to identify a point in pre-algebra
- How to add and subtract integers in pre-algebra
- How to combine like terms with negative numbers in pre-algebra
- How to compare integers in pre-algebra
- How to define integers in pre-algebra
- How to do absolute value in pre-algebra
- How to multiply and divide integers in pre-algebra
- How to add and subtract polynomials in pre-algebra
- How to divide polynomials in pre-algebra
- How to use the power rule for exponents in pre-algebra
- How to use the product rule for exponents in pre-algebra
- How to multiply polynomials in pre-algebra
- How to solve a polynomial in pre-algebra
- How to combine like terms in pre-algebra
- How to do exponents in pre-algebra
- How to use the distributive property in pre-algebra
- How to use the order of operations in pre-algebra

## Pre-Calculus

- Solving Circle Functions
- Graphing Ellipses
- Graphing Hyperbolas
- Solving Hyperbola Functions
- Graphing Parabolic Functions
- Solving Parabola Functions
- Simplifying Exponential Functions
- Simplifying Logarithms
- Solving Logarithms
- Finding Asymptotes
- Finding Domain and Range
- Finding Maxima and Minima
- Finding Symmetries
- Finding Zeros of a Polynomial
- Simplifying Polynomial Functions
- Understanding Zeros of a Polynomial
- Finding Limits
- Finding Limits as X Approaches Infinity
- Finding One-Sided Limits
- Understanding the Definition of Limits
- Finding Partial Sums in a Series
- Finding Sums of Infinite Series
- Finding Terms in a Series
- Understanding Arithmetic and Geometric Series
- Using Sigma Notation

## Trigonometry

- Understanding Angles
- Understanding Angles in Different Quadrants
- Understanding Complementary and Suplmentary Angles
- Understanding Coterminal Angles
- Understanding Angles in the Unit Circle
- Understanding Radians and Conversions
- Using the Unit Circle
- Applying the Law of Cosines
- Applying the Law of Sines
- Applying Trigonometric Functions
- Understanding 30-60-90 Triangles
- Finding Sides
- Solving Trigonometric Equations
- Simplifying Trigonometric Functions
- Understanding Trigonometric Functions
- Understanding Period and Amplitude
- Using Basic and Definitional Identities
- Using Identities of Inverse Operations
- Using Identities of Squared Functions
- Using Pythagorean Identities
- Using Sum and Product Identities
- Understanding Arcsine, Arccosine, and Arctangent
- Understanding Secant, Cosecant, and Cotangent
- Understanding Sine, Cosine, and Tangent