SAT MATHEMATICS
Learning Point Checklist
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PROBLEM SOLVING AND DATA ANALYSIS DOMAIN
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Maximum
and minimum values of functions
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Linear
function slope and relation to rate of change
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Ratios,
rates, proportional relationships, and units
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Vertical
shifting, horizontal shifting, scaling, asymptotes, end-behavior
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Linear
equations in two variable interpretation, analysis, application
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Solve
proportions in terms of scale factors
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Linear,
exponential, quadratic, polynomial, absolute value
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System
of linear equations: solve, interpret, analyze in context to academic and
career applications.
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Solve
proportions through cross multiplication
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Roots,
zeros and x-intercepts
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Solving
for the equation of a line for a variety of different given conditions.
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Derived
units as found in chemistry, science, physics
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Y-intercepts
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System
of equations, solving for solutions
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Unit
conversion: currency, measurement
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PASSPORT TO ADVANCED MATH DOMAIN
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Linear
Inequalities: Interpretation, analyses and creation and solutions
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Percentage
calculations and application
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Simplifying
simple rational expressions;
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ADDITIONAL TOPICS IN MATH DOMAIN
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Scale
drawings and proportions in natural and social sciences
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Simplifying
expressions with rational exponents and radicals;
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Area
and volume
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Percent
change and growth rate
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Factoring
polynomials.
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Perimeter,
area, surface area, and volume.
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Distributions, measures of center and diffusion
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Polynomial
Operations: add, subtract, multiply
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Scale
Factors: perimeter, surface area volume
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Graphical
representation of data sets.
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Nonlinear
equations in one variable
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Linear,
Area and Volume Scale Factors
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Graph,
table and diagram interpretation, analysis and utilization
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Systems
of equations in two variables
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Surface
area and volume calculations with complex geometric shapes
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Frequency
tables, histograms, dot plots, and box plots.
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Properties
of operations
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Lines,
angles, and triangles
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Calculate,
compare, and interpret mean, median, and range.
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Reasoning
about equality to
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Congruence
and similarity of triangle theorem
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Interpret
standard deviation.
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Quadratic
equations: The Three Forms
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Statements
for proof of geometric theorems
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Interpret
distributions with different measures of center and spread, mean, standard
deviation
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Parabolas:
Vertices, Roots, Factors
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Angle
scale factor relationships
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Effect
of outliers on mean and median.
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Discriminant:
none, one or two real solutions
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Vertical
angle theorem
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Two-variable
data: models and scatterplots
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Solving
one-variable rational or radical equations (extraneous solutions);
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Triangle
sum theorem
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Line
of best fit: slope, intercept, predictions
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Solve
factored one-variable polynomial equations
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Transversals,
angle relationships and parallel lines
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Best
fit modeling: Linear, Quadratic, and Exponential
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Solve
one-variable linear absolute value equations
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Pythagorean
theorem;
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Compare
linear and exponential growth.
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Solve
systems of linear and nonlinear equations in two variables
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Right
triangle trigonometry;
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Probability
and conditional probability
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Graphical
analysis of a system of linear equations
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Special
right triangles, 30, 45, 60
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One-
and two-way tables
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Nonlinear
equations in one variable
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Similarity
& sine, cosine, and tangent. calculations
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Tree
diagrams
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Nonlinear
equations in two variables
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Solving
a right triangle given an angle and a side
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Area
models
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Solving
an equation in two or more variables for a specific variable
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Sine
and cosine of complementary angles.
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Relative
frequency
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Solving
second degree equations in standard form or in vertex form through completing
the square
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Geometry
of circles: Applications and properties, and theorems :radii, diameters,
tangents, angles, arcs, arc lengths, and sector areas
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Probabilities
and probability formulas
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Quadratic
or exponential functions: create, use, solve, interpret in context
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Radian
measure and degree conversion
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Conditional
probabilities and formulas.
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Modeling
quadratic and exponential functions
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Trigonometric
ratios in the unit circle.
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Population
parameter inference from sample statistics and margin of error
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Quadratic
Standard Forms, Standard, Vertex, X-Intercept of a Parabola
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Equation
and graph of a circle
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Estimation
of population mean and proportion
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Exponential
decay forms, half-life, doubling time, end behavior
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Completing
the square for determining properties
of a parabola
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Margin
of error: sample size relationship
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HEART OF ALGEBRA DOMAIN
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Completing
a square determining circle parameters
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Evaluating
statistical claims: observational studies and experiments
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Linear
equations in one variable: constants,
variables, factors, context.;
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Advanced
Math Terminology
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Evidence
for a causal relationship, random assignment
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Linear
functions: create, model use, interpret, analyze, solve in
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Distance
formula in problems related to circles.
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Relations
between populations and samples
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Linear
function control variables: horizontal, vertical and steepness translation
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Complex
numbers: add, subtract, multiply, divide
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