• ## Private Mathematics Curriculum — 8th to 12th Grade

We introduced our private mathematics curriculum in early 2020, at a time when families were wrecked with uncertainty over the COVID-19 crisis.  Schools across Oregon and throughout the United States had shut down. And families were left to homeschool their children, or let them off with a long break. Many families turned to us asking for help to create a structured mathematics education program for their children. With our team of highly trained and experienced tutors, we developed the must-know Oregon mathematics curriculum for 8th to 12th grade. It includes items to be addressed during standardized testing. It is packed with the vital skills that students will need to prepare themselves for rigorous courses in chemistry, physics, and advanced mathematics.

You can also view our more in-depth 8th grade mathematics curriculum here.

• Numbers
• Introduction to Scientific Notation
• Square and Cube Roots
• Exponents and Negative Exponents
• Properties of Exponents
• Irrational Numbers
• Solving Equations (One Unknown)
• Word Problems
• Multivariable Problems
• Linear Equations & Linear Functions
• Solutions to Linear Equations
• Introduction to Functions
• Slope-Intercept Form
• Geometry & Transformations
• Pythagorean Theorem
• Triangle Angles
• Volume
• Intro to Transformations
• Translations, Reflections, Rotations
• Congruence
• System of Equations
• Into to Systems of Equations
• Solving System of Equations
• Word Problems
• Understanding Data
• Understanding Scatter Plots
• Introduction to Lines of Best Fit

9th Grade — Mathematics I & II

Mathematics I

• Algebra Fundamentals
• Algebra & The History of Algebra
• Intro to Variables
• How to Combine Like Terms
• Dividing by Zero
• Equivalent Expressions
• Equations & Inequalities
• Linear Equations — Variables on Both Sides
• Introduction to Inequalities
• Multi-step inequalities
• Compound inequalities
• Working With & Understanding Units
• Intro to Dimensional Analysis
• Using Appropriate Units
• Solving Word Problems with Different Units
• Linear Equations
• Understanding Slope
• X and Y-intercepts
• The Different Forms of Linear Equations
• Slope-Intercept
• Point-Slope
• Standard
• Substitution & Elimination
• Solving Systems with Substitution
• Solving Systems with Elimination
• Functions
• What is a Function?
• How to Evaluate Functions
• Function Notation
• Rate of Change
• Inverse Functions
• Exponential Functions:
• Review Properties of Exponents
• Review Growth & Decay Functions
• Linear vs. Exponential Growth
• Tables & Graphs
• Geometry Transformations
• Transformations
• Review of Translations, Reflections, Rotations
• Dilations, Symmetry
• Triangle Congruence
• Proofs of Triangles
• Theorems of Triangles
• Construct Bisectors

Mathematics II

• Absolute Value
• Irrational & Complex Numbers
• Rate of Change & Exponential Growth
• Right Triangles & Intro to Trigonometry
• Introduction to Circles
• Probability

10th Grade — Mathematics III & High School Geometry

Mathematics III

• Introduction to Polynomials
• Factorization
• Division of Polynomials
• Introduction of Logarithms
• Intro to Trigonometry
• Law of Sine & Cosine
• The Unit Circle!!!
• Amplitude, Period, & Midline
• Sinusoidal Functions
• Intro to Statistics
• Normal Distributions
• Binomial Probability
• Basic Modeling

High School Geometry

• Fundamentals of Geometry
• Angles
• Polygons
• Circles
• Transformations
• Introduction to Transformations
• Translations, Rotations, Reflections, Dilations
• Symmetry
• Congruence & Similarity
• Triangle Congruence
• Construction of Lines and Angles
• Intro to Similarity
• Similar Triangles
• Intro to Angle Bisector Theorem
• Solve Similar & Congruent Triangle Problems
• Circles
• Introduction to Circles
• Arc Measure and Length
• Sectors and Inscribed Angles
• Equations of Circles
• Distance and Problem Solving
• Midpoints, Line Segments, and Distance
• Solving Problems Related to Distance
• Parallel and Perpendicular Lines
• Equations
• On Coordinate Plane

11th Grade — Algebra I and Algebra II

Algebra I

• The History of Algebra
• Foundations of Algebra
• Intro to Variables
• Evaluating Expressions
• Dividing by Zero
• How to Combine “Like Terms”
• How to Solve Equations
• Linear Equations with Variables on both sides
• Multi-Step Equations
• Two Variable Linear Equations
• Graphing
• Intro to Graph Theory and Analysis
• y=mx+b
• Slope
• Horizontal and Vertical Lines
• X and Y-intercept
• Applications of Slope and Intercepts
• Introduction to Slope-Intercept Form
• How to graph with slope intercept
• How to write slope intercept equations
• Introduction to Point-Slope Form
• Intro to Standard Form
• Systems of Equations
• Substitution
• Elimination
• Solving Systems of Equations
• Intro to Inequalities
• Fundamentals of Functions
• Definition of a Function
• Functions & Equations
• How to Evaluate a Function
• Function Notation
• Rate of Change
• Inverse Functions
• Sequences
• Intro to Arithmetic Sequences
• Intro to Geometric Sequences
• Intro to General Sequences
• Exponential Growth & Decay
• Determining Exponential vs Linear Growth
• Understanding Graphs of Exponential Growth
• Growth and Decay
• Factoring
• Multiplying Monomials
• Introduction to Factoring
• Grouping
• Difference of Squares
• Perfect Squares
• Strategy
• How to Complete the Square
• Irrational Numbers

Algebra II

• Arithmetic of Polynomials
• Introduction to Polynomials
• Special Products
• Introduction to Complex Numbers
• Intro to: i
• Overview of Complex Numbers
• Adding, Subtracting, Multiplying Complex Numbers
• Factorization and Division of Polynomials
• The GCF: Greatest Common Factor
• Finding Common Factors
• Factoring Polynomials
• Graphing Polynomials
• Zeros
• Evaluation of Exponents
• Exponent Expressions
• Rational Exponents
• Logarithms
• Intro to Logs
• Properties of Logs
• Into to Natural Log
• Change of Base Formula
• Solving Equations with Logs
• Transformations of Functions
• Shifting, Reflecting, & Scaling
• Symmetry
• Important Equations
• Square-Root Equations
• Cube-Root Equations
• Intro to Trigonometry
• The Unit Circle!!!
• The Pythagorean Identity

12 Grade — Trigonometry, Statistics, Pre-Calculus

Trigonometry & Statistics

• Trig with Right Triangles
• Trig Ratios
• Solving for Side
• Solving for Angle
• Modeling
• Similarity
• Sine & Cosine
• General Triangles
• The Unit Circle
• Unit Circle
• Intro to Trig Identities
• Graphing Trig Functions
• Graphs of Sine, Cosine, Tangent
• Amplitude & Midline
• Sinusoidal Functions
• Trigonometric Identities
• Inverse Trig Functions
• Modeling and Solving Sinusoidal Equations
• Intro to Statistics
• Scatterplots
• Introduction
• Trend Lines
• How to Design Studies
• Data Collection
• Analyzing Data Distribution
• Frequency Tables
• Samples
• Surveys
• Introduction to Probability
• Probability Theory Overview
• Permutations
• Combinations
• Conditional Probability
• Randomness
• Binomial Probability and Normal Distributions

Pre-Calculus

• Complex Numbers
• Intro to Complex Numbers
• Intro to Imaginary Numbers
• Complex Number Plane
• Adding + Subtracting Complex Numbers
• Identities
• Multiplying and Dividing
• Polynomials
• Binomial Theorem
• The Fundamental Theorem of Algebra!
• Division of Polynomials
• Vectors
• Intro to Vectors
• Magnitude
• Scalars
• Unit Vector
• Word Problems
• Matrices
• Intro to Matrices
• Gaussian Elimination