Mathematics

Mathematics

The Northwest Academy Mathematics Program offers a rigorous curriculum that develops critical and creative thinkers and problem-solvers. By exploring connections to mathematics, students learn to confidently apply mathematical knowledge. Students acquire the knowledge, skills, and habits of work and mind —including perseverance, self-reflection, precision, and confidence — necessary to progress in mathematical proficiency and prepare themselves to succeed in future math classes.

To graduate, Northwest Academy high school students must complete core proficiencies in Algebra 1, Geometry, and Algebra 2. After completing these three required courses, a student may choose to study Pre-calculus, Statistics, and Calculus. Students in Statistics and Calculus are eligible for 200-level college credit through the Portland State University Challenge Program.

ALGEBRA 1

  • Order of operations
  • Linear equations
  • Absolute value equations
  • Literal equations
  • Polynomials
  • Cartesian graphs
  • Word problems with one variable
  • Slopes of lines
  • Intercepts of lines
  • Intersection of two lines
  • Solving linear systems
  • Introduction to function notation
  • Word problems with two variables
  • Exponents

GEOMETRY

  • Patterns and Reasoning
  • Points, Lines and Planes
  • Angles
  • Triangles and Polygons
  • Proofs
  • Coordinates
  • Parallel Lines, Transversals, and Perpendiculars
  • Congruent Triangles
  • Altitudes, Medians, and Bisectors
  • Quadrilaterals
  • Area and Volume
  • Proportion and Similarity
  • Right triangle trigonometry
  • Vectors
  • Circles and Spheres
  • Transformations with matrices

ALGEBRA 2

  • Introduction to sets
  • Review of Algebra One concepts
  • Polynomial arithmetic
  • Modeling with Graphs
  • Modeling with Functions
  • Linear Inequalities
  • Quadratic Equations and Graphs
  • The Quadratic Formula
  • Factoring quadratics
  • Laws of exponents
  • Rational Exponents and Exponential Functions
  • Inverse and Composed functions
  • Logarithms and Log Function Graphs
  • Solving Exponential Equations with Logs
  • Imaginary Numbers

PRE-CALCULUS

  • Functions and Graphs
  • Polynomial and rational functions
  • Exponential and logarithmic functions
  • Trigonometric functions
  • Analytical trigonometry
  • Vectors
  • Polar Coordinates and Parametric Equations
  • Matrices and Systems
  • Series and Sequences
  • Probability
  • Limits

STATISTICS

  • Introduction to Probability and Statistical Analysis
  • Presentation of Data Probability
  • Probability Distributions
  • Sampling Distributions
  • Estimation
  • Additional topics and research projects based upon student interest.

CALCULUS

  • Graphing Calculator Usage
  • Limits and limit Laws
  • Continuity
  • Secant and Tangent Lines
  • Rates of change over intervals and immediate rates of change
  • Position, Velocity, and Acceleration
  • Differentiation and Derivatives
  • Differentiation rules
  • Modeling with Derivatives and Related Rates
  • Optimization• Areas under Curves
  • The Integral
  • Definite, Improper, and Indefinite Integrals
  • College-prep Academics

    Northwest Academy students write two substantial, college-level thesis projects in their senior year. All juniors and seniors receive college credit through the PSU Challenge Program.

    College-prep Academics
    Senior Thesis Presentation
  • College Counseling

    Our College Counselor works with students to find schools that will be a good match for them. Northwest Academy graduates attend a diverse selection of colleges and universities across the country including Duke University, Bard College, New York University, and Rhode Island School of Design.

    College Counseling
    College application workshop
  • Creativity Matters Here

    We value creative, independent thought in both our academic and arts classes.

    Creativity Matters Here
  • Exceptional Faculty

    Teachers include professional artists, writers, and performers as well as former college instructors.

    Exceptional Faculty
    Teachers As Mentors