## 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
• 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
• 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

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. Senior Thesis Presentation
• ## Lunch Events

Friday Lunch events include everything from distinguished guest speakers (such as University of Oregon President and Multnomah County District Attorney) to friendly games of dodgeball. • ## Creativity Matters Here

We value creative, independent thought in both our academic and arts classes. • ## Exceptional Faculty

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