Common Core Math
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Digital SAT Math
Digital SAT Math
89 topics ยท 6 with slides
I
Advanced Math
Equivalent Expressions
Completing the square
coming soon
Exponent rules and radical-exponent conversion
coming soon
Factoring (GCF, trinomials, special products, grouping)
coming soon
Polynomial operations (add, subtract, multiply, divide)
coming soon
Simplifying and operating with rational expressions
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Using algebraic structure to rewrite expressions
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Nonlinear Equations and Systems
Solving absolute value equations
coming soon
Solving quadratics (factoring, formula, completing square, square roots)
coming soon
Solving radical equations (extraneous solutions)
coming soon
Solving rational equations (extraneous solutions)
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Systems with one linear and one nonlinear equation
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The discriminant and number of solutions
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Nonlinear Functions
Distinguishing linear, quadratic, and exponential models
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Exponential functions (growth and decay)
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Function composition and evaluation
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Function transformations (shifts, reflections, stretches)
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Higher-degree polynomials (end behavior, zeros, multiplicity)
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Interpreting exponential functions in context
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Key features of quadratics (vertex, axis, intercepts, direction)
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Quadratic functions: standard, vertex, and factored forms
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Rational functions (asymptotes, domain restrictions)
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II
Algebra
Linear Equations in One Variable
Creating linear equations from word problems
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Interpreting constants and coefficients in context
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Number of solutions (one, none, infinitely many)
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Rearranging formulas and literal equations
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Solving linear equations
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Linear Equations in Two Variables
Graphing and connecting representations
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Interpreting slope and y-intercept in context
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Parallel and perpendicular line relationships
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Slope-intercept, point-slope, and standard forms
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Writing equations of lines from slope/points
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Linear Functions
Comparing linear functions across representations
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Evaluating and interpreting linear functions
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Function notation for linear functions
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Linear Inequalities
Compound inequalities
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Graphing inequalities in one and two variables
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Solving linear inequalities
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Systems of linear inequalities
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Writing inequalities from constraints
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Systems of Two Linear Equations
Creating and interpreting systems from word problems
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Number of solutions for systems
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Solving by substitution and elimination
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III
Geometry and Trigonometry
Area and Volume
Area of common 2D shapes and composite figures
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Circumference and area of circles
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Effects of scaling on area and volume
Surface area of 3D solids (prisms, cylinders, cones, pyramids, spheres)
Volume of 3D solids (prisms, cylinders, cones, pyramids, spheres)
Circles
Arc length and sector area
Central and inscribed angles
Equation of a circle (standard form, completing the square)
Radian measure and arc length relationship
coming soon
Tangent lines and chord properties
Lines, Angles, and Triangles
Angle relationships (complementary, supplementary, vertical)
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Angles from parallel lines cut by a transversal
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Congruent triangles (conceptual identification)
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Interior angle sum of polygons
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Isosceles and equilateral triangle properties
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Midpoint and distance in the coordinate plane
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Similar triangles and proportional sides
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Triangle angle sum and exterior angle theorem
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Triangle inequality theorem
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Right Triangles and Trigonometry
Complementary angle relationship (sin x = cos(90-x))
Pythagorean theorem and common triples
Radian-degree conversion
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Special right triangles: 45-45-90 and 30-60-90
Trigonometric ratios (SOH-CAH-TOA)
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Using trig ratios to find missing sides and angles
IV
Problem-Solving and Data Analysis
Inference and Statistical Claims
Correlation vs causation
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Margin of error and confidence intervals
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Observational studies vs experiments
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Sampling methods and generalization
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One-Variable Data
Distribution shape (symmetric, skewed)
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Effects of outliers on center and spread
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Mean, median, mode
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Range, IQR, and standard deviation (conceptual)
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Reading data displays (bar, histogram, dot plot, box plot)
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Percentages
Calculating percentages (part, whole, percent)
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Multi-step and successive percentage problems
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Percent increase and decrease
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Probability and Conditional Probability
Basic probability of single events
Compound events (and/or, complement)
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Conditional probability
Ratios, Rates, and Proportional Relationships
Direct and inverse proportionality
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Setting up and solving proportions
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Unit rates and unit conversion
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Two-Variable Data
Choosing models for scatterplot data
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Interpreting regression slope and intercept in context
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Scatterplots and line of best fit
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Two-way frequency tables
coming soon