Our Courses

Students review and extend their understanding of algebraic expressions and equations. They solve systems of linear equations using various methods.

• Review of linear equations
• Solving systems by graphing, substitution, and elimination
• Applications of linear systems
• Word problems involving systems

Students explore the relationships between equations and geometric representations of lines.

• Slope and equations of lines
• Midpoint and distance formulas
• Parallel and perpendicular lines

Students investigate quadratic relations and their properties. They graph and analyze parabolas.

• Characteristics of quadratic relations
• Vertex form and standard form
• Graphing parabolas
• Axis of symmetry and vertex

Students solve quadratic equations using a variety of methods and apply these skills to problem-solving.

• Factoring trinomials and special products
• Solving by factoring, completing the square, and quadratic formula
• Discriminant and nature of roots

Students explore trigonometric ratios and solve problems involving right triangles.

• Sine, cosine, and tangent ratios
• Solving right triangles
• Angle of elevation and depression

Students solve problems involving surface area and volume of 3D figures.

• Surface area and volume of prisms, pyramids, cylinders, cones, and spheres
• Composite figures
• Optimization problems

Students explore the concept of a function and distinguish between relations and functions.

• Relations vs. functions
• Function notation
• Domain and range
• Evaluating functions
• Graphs of functions

Students investigate key features of functions and their graphs.

• Intercepts, intervals of increase/decrease
• Maximum and minimum values
• Transformations (translations, reflections, stretches)
• Even and odd functions

Students deepen their understanding of quadratic functions.

• Vertex form, factored form, and standard form
• Completing the square
• Solving quadratic equations
• Applications of quadratic models

Students explore exponential growth and decay.

• Exponential growth and decay
• Graphing exponential functions
• Applications in finance and science

Students study sequences and series, focusing on arithmetic and geometric patterns.

• Arithmetic sequences and series
• Geometric sequences and series
• Recursive formulas
• Sigma notation

Students extend their knowledge of trigonometry to include the unit circle and sinusoidal functions.

• Radian measure
• Unit circle and trigonometric ratios
• Graphs of sine and cosine functions
• Amplitude, period, phase shift

Students explore the concepts of probability and apply them to real-world contexts.

• Experimental and theoretical probability
• Probability of compound events
• Tree diagrams and organized lists

Students collect, organize, and analyze data involving one variable.

• Data collection methods
• Measures of central tendency (mean, median, mode)
• Measures of spread (range, interquartile range, standard deviation)
• Histograms and box plots

Students investigate quadratic relations and their applications.

• Graphing quadratic relations
• Vertex and standard forms
• Solving quadratics by factoring and using the quadratic formula

Students solve problems involving right and oblique triangles.

• Sine, cosine, and tangent ratios
• Solving right triangles
• Sine Law and Cosine Law

Students explore exponential growth and decay.

• Laws of exponents
• Exponential growth and decay
• Graphing exponential functions

Students apply mathematics to financial decision-making.

• Simple vs. compound interest
• Credit cards and loans
• Budgeting and saving

Students explore the characteristics of polynomial functions.

• Characteristics of polynomial functions
• Factoring and solving polynomial equations
• Remainder and factor theorems
• Graphing polynomial functions

Students investigate rational expressions and functions.

• Simplifying rational expressions
• Identifying asymptotes and discontinuities
• Graphing rational functions
• Solving rational equations

Students extend their understanding of trigonometric functions.

• Radian measure and unit circle
• Graphs of sine, cosine, and tangent functions
• Amplitude, period, phase shift
• Trigonometric identities and equations

Students explore exponential and logarithmic functions.

• Laws of exponents and logarithms
• Graphing exponential and logarithmic functions
• Solving exponential and logarithmic equations

Students learn how to combine functions using operations and composition.

• Function operations (addition, subtraction, multiplication, division)
• Composition of functions
• Inverse functions
• Domain and range of combined functions

Students develop an understanding of average and instantaneous rates of change.

• Average vs. instantaneous rate of change
• Secant and tangent lines
• Introduction to limits
• Derivatives of polynomial functions

Students learn rules for finding derivatives and apply them.

• Derivative rules (power, product, quotient, chain)
• Derivatives of polynomial, rational, radical, exponential, and sinusoidal functions
• First and second derivative tests
• Optimization problems

Students use derivatives to analyze and sketch functions.

• Critical points and inflection points
• Increasing/decreasing intervals
• Concavity and points of inflection
• Sketching curves using derivatives

Students extend their understanding of derivatives to include trigonometric and exponential functions.

• Derivatives of sine, cosine, and exponential functions
• Applications in physics and biology

Students explore vector operations and apply them to geometric and algebraic problems.

• Vector notation and operations
• Scalar and vector components
• Dot product and angle between vectors

Students represent lines and planes in three-dimensional space.

• Vector, parametric, and symmetric equations of lines
• Equations of planes
• Intersections of lines and planes

Students learn how to collect, organize, and display data effectively.

• Types of data (categorical, numerical, discrete, continuous)
• Data collection methods (surveys, experiments, observational studies)
• Sampling techniques and bias

Students analyze one-variable and two-variable data using statistical measures.

• Measures of central tendency and spread (mean, median, mode, range, standard deviation)
• Histograms, box plots, scatter plots
• Correlation and causation
• Linear regression and line of best fit

Students explore the basic principles of probability.

• Theoretical vs. experimental probability
• Sample spaces and events
• Venn diagrams and probability rules
• Independent and dependent events

Students investigate discrete probability distributions.

• Binomial and normal distributions
• Expected value
• Applications in games, insurance, and risk analysis

Students conduct a major investigation integrating data collection, analysis, and interpretation.

• Designing a study or experiment
• Collecting and analyzing data
• Drawing conclusions and evaluating results
• Communicating findings effectively