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Middle School Math
Build number sense, fluency, ratios, equations, geometry, and data confidence.
Skill 1
Fractions
Add, compare, simplify, and reason with parts of a whole.
Skill 2
Decimals
Multiply, divide, estimate, and place values accurately.
Skill 3
Integers
Use positive and negative values in real contexts.
Skill 4
Ratios and Proportions
Scale quantities and solve proportional situations.
Skill 5
Percentages
Find percent, discounts, tax, and growth.
Skill 6
Expressions
Evaluate and simplify with variables.
Skill 7
One-step Equations
Solve equations using inverse operations.
Skill 8
Coordinate Plane
Plot and interpret ordered pairs.
Skill 9
Basic Geometry
Area, perimeter, angle facts, and shapes.
Skill 10
Probability and Statistics
Summarize data and predict outcomes.
Algebra 1
Master linear models, equations, systems, polynomials, quadratics, and functions.
Skill 1
Linear Equations
Solve and model with one variable.
Skill 2
Slope
Measure rate of change from points, graphs, and tables.
Skill 3
Graphing Lines
Connect slope, intercepts, and equations.
Skill 4
Systems of Equations
Find the intersection of two relationships.
Skill 5
Inequalities
Solve and graph comparisons.
Skill 6
Exponents
Use exponent rules efficiently.
Skill 7
Polynomials
Add, multiply, and interpret polynomial expressions.
Skill 8
Factoring
Break expressions into useful factors.
Skill 9
Quadratics
Explore parabolas, roots, and vertex form.
Skill 10
Functions
Read, evaluate, and compare functions.
Geometry
Use visual reasoning, measurement, transformations, and proof habits.
Skill 1
Angles
Use angle relationships to reason quickly.
Skill 2
Triangles
Apply triangle sums, special triangles, and inequalities.
Skill 3
Congruence
Match shapes with rigid motion reasoning.
Skill 4
Similarity
Scale shapes and compare corresponding sides.
Skill 5
Pythagorean Theorem
Find missing side lengths in right triangles.
Skill 6
Circles
Connect radius, diameter, circumference, and area.
Skill 7
Area
Measure regions with formulas and decomposition.
Skill 8
Volume
Measure 3D space in prisms, cylinders, and more.
Skill 9
Transformations
Translate, rotate, reflect, and dilate figures.
Skill 10
Coordinate Geometry
Use coordinates to prove and measure.
Skill 11
Proof Reasoning
Build clear mathematical arguments.
Algebra 2
Level up through advanced functions, logarithms, sequences, complex numbers, and statistics.
Skill 1
Quadratic Functions
Analyze vertex, zeros, and transformations.
Skill 2
Polynomial Functions
Study end behavior, factors, and roots.
Skill 3
Rational Expressions
Simplify and solve fraction expressions.
Skill 4
Radical Equations
Use roots while checking for extraneous answers.
Skill 5
Exponential Functions
Model growth and decay.
Skill 6
Logarithms
Rewrite and solve inverse exponential relationships.
Skill 7
Sequences and Series
Spot patterns and sum finite or infinite terms.
Skill 8
Complex Numbers
Operate with real and imaginary parts.
Skill 9
Probability
Reason about chance and expected outcomes.
Skill 10
Statistics
Interpret distributions and data.
Precalculus
Bridge advanced algebra to calculus with functions, trig, vectors, matrices, polar ideas, and limits.
Skill 1
Function Transformations
Shift, stretch, reflect, and combine graphs.
Skill 2
Trigonometry
Use trig ratios and identities.
Skill 3
Unit Circle
Know exact sine and cosine values.
Skill 4
Law of Sines and Cosines
Solve non-right triangles.
Skill 5
Sinusoidal Graphs
Model waves with amplitude and period.
Skill 6
Exponential and Logarithmic Models
Model growth, decay, and inverse behavior.
Skill 7
Vectors
Represent magnitude and direction.
Skill 8
Matrices
Organize and transform information.
Skill 9
Polar Coordinates
Graph with radius and angle.
Skill 10
Limits Introduction
Preview the idea of approaching a value.
Calculus I
Develop limits, continuity, derivatives, applications of derivatives, and first integrals.
Skill 1
Limits
Analyze behavior as inputs approach values.
Skill 2
Continuity
Reason about connected graphs and removable breaks.
Skill 3
Derivatives
Measure instantaneous rate of change.
Skill 4
Product Rule
Differentiate products of functions.
Skill 5
Quotient Rule
Differentiate ratios of functions.
Skill 6
Chain Rule
Differentiate composed functions.
Skill 7
Implicit Differentiation
Differentiate equations with mixed variables.
Skill 8
Related Rates
Connect changing quantities.
Skill 9
Optimization
Use derivatives to find best values.
Skill 10
Basic Integrals
Reverse derivative rules and accumulate area.
Calculus II
Push integration, applications, sequences, series, Taylor ideas, parametric, and polar calculus.
Skill 1
Integration Techniques
Choose substitution, parts, and other methods.
Skill 2
Area Between Curves
Accumulate vertical or horizontal slices.
Skill 3
Volume
Use disks, washers, and shells.
Skill 4
Sequences
Study long-term term behavior.
Skill 5
Series
Decide when infinite sums converge.
Skill 6
Taylor Series
Approximate functions with polynomials.
Skill 7
Parametric Equations
Describe motion with a parameter.
Skill 8
Polar Calculus
Find slopes and areas in polar form.
Calculus III
Explore vectors, multivariable functions, gradients, multiple integrals, and vector calculus.
Skill 1
Vectors in 3D
Use components, dot products, and spatial reasoning.
Skill 2
Partial Derivatives
Measure change in one input direction.
Skill 3
Gradients
Find direction of greatest increase.
Skill 4
Multiple Integrals
Accumulate over regions and volumes.
Skill 5
Vector Fields
Represent direction and magnitude across space.
Skill 6
Line Integrals
Accumulate along a curve.
Skill 7
Surface Integrals
Accumulate across a surface.
Skill 8
Basic Multivariable Applications
Apply multivariable tools to real systems.