Georgia · GaDOESyllabus
Maths syllabus, dot point by dot point
Every dot point in the Georgia Mathssyllabus, with a focused answer for each one. Click any dot point for a worked explainer, past exam questions, and links to related dot points. Written by Claude Opus 4.8, Anthropic's latest AI.
Data and Statistical Reasoning
Module overview →- How do you measure the center and spread of a data set, and how do you compare two distributions fairly?Compute and interpret measures of center (mean, median) and spread (range, IQR, standard deviation), and compare two distributions using center, spread, and shape (A.DSR, Data and Statistical Reasoning).10 min answer →
- What does the correlation coefficient tell you, why is correlation not causation, and how do residuals show whether a line fits?Interpret the correlation coefficient, distinguish correlation from causation, and use residuals and a residual plot to judge how well a linear model fits (A.DSR, Data and Statistical Reasoning).10 min answer →
- How do you display one-variable data, and what does each plot (dot plot, histogram, box plot) show about a distribution?Represent one-variable quantitative data with dot plots, histograms, and box plots, and describe the shape of a distribution (A.DSR, Data and Statistical Reasoning).9 min answer →
- How do you fit a line to data, and how do you interpret its slope and intercept and use it to predict?Fit a line of best fit (linear regression) to two-variable data, interpret the slope and y-intercept in context, and use the line to make predictions (A.DSR, Data and Statistical Reasoning).10 min answer →
- How do you read a scatterplot, and how do you describe the form, direction, and strength of a relationship between two variables?Represent two-variable quantitative data with scatterplots and describe the association by its form, direction, strength, and any outliers (A.DSR, Data and Statistical Reasoning).9 min answer →
Geometry and Modeling Connections
Module overview →- How do you find the distance between two points and the midpoint of a segment in the coordinate plane?Find the distance between two points using the distance formula (from the Pythagorean theorem) and the midpoint of a segment using the midpoint formula (A.GSR, Geometric and Spatial Reasoning).9 min answer →
- How do you turn a real-world situation into a mathematical model, solve it, and check that the answer makes sense?Apply the mathematical modeling process: define variables, build a model, solve, interpret, and check the reasonableness of the result in context (A.MM, Mathematical Modeling).10 min answer →
- How do you find the perimeter and area of a figure drawn on the coordinate plane?Find the perimeter and area of polygons in the coordinate plane using the distance formula and area formulas, and apply these to modeling problems (A.GSR and A.MM, Geometric and Spatial Reasoning and Modeling).9 min answer →
- How does slope describe steepness, and how do the slopes of parallel and perpendicular lines relate?Interpret slope as a rate of change and as a geometric measure of steepness, and use the slope relationships for parallel (equal slopes) and perpendicular (negative reciprocal slopes) lines (A.GSR, Geometric and Spatial Reasoning).9 min answer →
Linear and Exponential Functions
Module overview →- What is an arithmetic sequence, how do you write its explicit and recursive rules, and how is it a kind of linear function?Construct and interpret arithmetic sequences with explicit and recursive rules, and connect them to linear functions whose domain is the integers (A.FGR, Functional and Graphical Reasoning).9 min answer →
- How do you tell a linear situation from an exponential one, and why does exponential growth eventually overtake linear growth?Distinguish linear from exponential functions using constant difference versus constant ratio, and recognize that a quantity growing by equal factors over equal intervals is exponential (A.FGR, Functional and Graphical Reasoning).9 min answer →
- What is an exponential function, how do growth and decay models work, and how do you read the initial value and the growth or decay rate?Construct and interpret exponential functions, including growth and decay models, and identify the initial value and the growth or decay factor from an equation or context (A.FGR, Functional and Graphical Reasoning).11 min answer →
- What makes a relation a function, how do you read and use function notation, and how do you find domain and range?Determine whether a relation is a function, use function notation to evaluate and interpret functions, and identify domain and range from graphs and tables (A.FGR, Functional and Graphical Reasoning).9 min answer →
- What is a geometric sequence, how do you write its explicit and recursive rules, and how is it a kind of exponential function?Construct and interpret geometric sequences with explicit and recursive rules, and connect them to exponential functions whose domain is the integers (A.FGR, Functional and Graphical Reasoning).9 min answer →
- What makes a function linear, and how do you find and interpret the rate of change from a graph, a table, or a context?Identify linear functions by their constant rate of change, compute average rate of change from tables and graphs, and interpret slope and intercept in context (A.FGR, Functional and Graphical Reasoning).9 min answer →
Linear Equations, Inequalities, and Systems
Module overview →- How do you graph a linear equation from any of its forms, and how do you read the slope and intercepts from a graph?Graph linear equations in two variables and identify key features (slope, x-intercept, y-intercept) from slope-intercept, point-slope, and standard form (A.PAR, Patterning and Algebraic Reasoning).9 min answer →
- How do you graph a linear inequality in two variables, and how do you find the solution region of a system of inequalities?Graph linear inequalities in two variables using a boundary line and shading, and find the solution region of a system of linear inequalities (A.PAR, Patterning and Algebraic Reasoning).10 min answer →
- How do you solve a linear equation in one variable, and when does an equation have one solution, no solution, or infinitely many?Solve linear equations in one variable, including equations with variables on both sides and rational coefficients, and identify equations with one, none, or infinitely many solutions (A.PAR, Patterning and Algebraic Reasoning).9 min answer →
- How do you solve a linear inequality in one variable, and why does the inequality sign flip when you multiply or divide by a negative?Solve linear inequalities in one variable, graph the solution on a number line, and interpret the solution set in context (A.PAR, Patterning and Algebraic Reasoning).9 min answer →
- How do you solve a system of two linear equations, and what does it mean when a system has no solution or infinitely many?Solve systems of two linear equations by graphing, substitution, and elimination, and interpret the solution as the point where the lines meet (A.PAR, Patterning and Algebraic Reasoning).11 min answer →
- How do you write the equation of a line from a slope and a point, from two points, or from a real-world description?Write linear equations in two variables from a slope and a point, from two points, and from a real-world context, and interpret slope and intercept in the model (A.PAR, Patterning and Algebraic Reasoning).10 min answer →
Numerical Reasoning and Modeling
Module overview →- How do you read the parts of an algebraic expression, and how does rewriting an expression reveal its meaning in a context?Interpret the parts of an expression (terms, factors, coefficients) in context, and use the structure of an expression to rewrite it in an equivalent form (A.PAR, Patterning and Algebraic Reasoning).9 min answer →
- How do you add, subtract, and multiply polynomials, and how do you factor a quadratic expression back into a product of binomials?Add, subtract, and multiply polynomials, and factor quadratic expressions including GCF, trinomials, and the difference of squares (A.PAR, Patterning and Algebraic Reasoning).11 min answer →
- How do you rewrite expressions involving square roots, cube roots, and rational exponents, and how are radicals and exponents two ways of writing the same thing?Rewrite expressions involving radicals and rational exponents using the properties of exponents, and simplify square roots and cube roots (A.NR, Numerical Reasoning).10 min answer →
- What makes a number rational or irrational, and what happens when you add or multiply numbers from each set?Classify real numbers as rational or irrational, and reason about the rationality of sums and products of rational and irrational numbers (A.NR, Numerical Reasoning).9 min answer →
- How do you use units and quantities to set up a problem correctly, convert between measures, and report an answer to a sensible level of accuracy?Use units as a guide to setting up and solving modeling problems, convert units with conversion factors, and choose an appropriate level of accuracy (A.MM and A.NR, Modeling and Numerical Reasoning).9 min answer →
Quadratic Functions and Equations
Module overview →- How do you solve a quadratic by taking square roots or by completing the square, and how does completing the square give vertex form?Solve quadratic equations by the square-root property and by completing the square, and use completing the square to rewrite a quadratic in vertex form (A.PAR, Patterning and Algebraic Reasoning).11 min answer →
- How do you graph a parabola, and how do you find its vertex, axis of symmetry, and intercepts?Graph quadratic functions and identify key features: the vertex, the axis of symmetry, the y-intercept, the x-intercepts (zeros), and the direction of opening (A.FGR, Functional and Graphical Reasoning).10 min answer →
- How do you use a quadratic model to answer real questions, and when do you use the vertex versus the zeros?Build and use quadratic models for situations such as projectile motion and area, using the vertex for maximum or minimum values and the zeros for boundary values, and interpreting solutions in context (A.FGR and A.MM, Functional and Graphical Reasoning and Modeling).11 min answer →
- How do you use the quadratic formula to solve any quadratic, and what does the discriminant tell you about the solutions?Solve quadratic equations with the quadratic formula, and use the discriminant to determine the number and type of real solutions (A.PAR, Patterning and Algebraic Reasoning).10 min answer →
- How do you solve a quadratic equation by factoring, and why does setting it equal to zero first matter?Solve quadratic equations by factoring using the zero-product property, after writing the equation in standard form (A.PAR, Patterning and Algebraic Reasoning).10 min answer →
- How does vertex form show the transformations of a parabola, and how do you read the vertex and direction directly from it?Use vertex form to describe transformations of the parent function and to read the vertex, direction, and stretch of a quadratic (A.FGR, Functional and Graphical Reasoning).10 min answer →