Jumat, 07 Februari 2025

High School Math Lesson

Some math lesson offered in high school:
  • Pre-algebra
  • Algebra I
  • Geometry
  • Algebra II
  • Pre-calculus or Trigonometry
  • Calculus
  • Statistics

Drawing Nets of 3 Dimensional Objects 
Absolute Value

Pre-algebra

Factors and multiples
Patterns
Ratios and rates
Percentages
Exponents intro and order of operations
Variables & expressions
Equations & inequalities introduction
Percent & rational number word problems
Proportional relationships
One-step and two-step equations & inequalities
Roots, exponents, & scientific notation
Multi-step equations
Two-variable equations
Functions and linear models
Systems of equations

Algebra basics

Foundations
Algebraic expressions
Linear equations and inequalities
Graphing lines and slope
Systems of equations
Expressions with exponents
Quadratics and polynomials
Equations and geometry

Algebra 1

Algebra foundations
Solving equations & inequalities
Working with units
Linear equations & graphs
Forms of linear equations
Systems of equations
Inequalities (systems & graphs)
Functions
Sequences
Absolute value & piecewise functions
Exponents & radicals
Exponential growth & decay
Quadratics: Multiplying & factoring
Quadratic functions & equations
Irrational numbers

High school geometry

Performing transformations
Transformation properties and proofs
Congruence
Similarity
Right triangles & trigonometry
Analytic geometry
Conic sections
Circles
Solid geometry

Algebra 2

Polynomial arithmetic
Complex numbers
Polynomial factorization
Polynomial division
Polynomial graphs
Rational exponents and radicals
Exponential models
Logarithms
Transformations of functions
Equations
Modeling

Trigonometry

Right triangles & trigonometry
Trigonometric functions
Non-right triangles & trigonometry
Trigonometric equations and identities

Statistics and probability

Analyzing categorical data
Displaying and comparing quantitative data
Summarizing quantitative data
Modeling data distributions
Exploring bivariate numerical data
Study design
Probability
Counting, permutations, and combinations
Random variables
Sampling distributions
Confidence intervals
Significance tests (hypothesis testing)
Two-sample inference for the difference between groups
Inference for categorical data (chi-square tests)
Advanced regression (inference and transforming)
Analysis of variance (ANOVA)

High school statistics

Displaying a single quantitative variable
Analyzing a single quantitative variable
Two-way tables
Scatterplots
Probability
Probability distributions & expected value

Precalculus

Composite and inverse functions
Trigonometry
Complex numbers
Rational functions
Conic sections
Vectors
Matrices
Probability and combinatorics
Series
Limits and continuity

Differential Calculus

Limits and continuity
Derivatives: definition and basic rules
Derivatives: chain rule and other advanced topics
Applications of derivatives
Analyzing functions
Parametric equations, polar coordinates, and vector-valued functions

Integral Calculus

Integrals
Differential equations
Applications of integrals
Parametric equations, polar coordinates, and vector-valued functions
Series

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