Louisiana · LDOESyllabus
Maths syllabus, dot point by dot point
Every dot point in the Louisiana 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.
Expressions and Structure
Module overview →- How do you rewrite a quadratic expression by factoring, and how does each equivalent form reveal a different property?Choose and produce equivalent forms of an expression, factoring a quadratic and using the structure to reveal zeros, a maximum or minimum, or other properties (LA A1: A-SSE.B.3).10 min answer →
- What are the properties of exponents, and how do you use them to simplify an expression with powers?Apply the properties of integer exponents (product, quotient, power, zero, and negative exponents) to generate equivalent numerical and algebraic expressions (LA A1: N-RN.A, exponent properties).9 min answer →
- How do you read the parts of an algebraic expression, terms, factors, and coefficients, and explain what each part means in context?Interpret expressions that represent a quantity in terms of its context, identifying terms, factors, and coefficients and explaining their meaning (LA A1: A-SSE.A.1).9 min answer →
- How do you add, subtract, and multiply polynomials, and why is the set of polynomials closed under these operations?Add, subtract, and multiply polynomials, understanding that polynomials are closed under these operations (LA A1: A-APR.A.1).9 min answer →
- How do radicals and rational exponents relate, and how do you rewrite and simplify expressions that use them?Explain and use the relationship between radicals and rational exponents, rewriting expressions and simplifying radicals (LA A1: N-RN.A.1, N-RN.A.2).9 min answer →
- How do you use units to set up and check a calculation, and how do you choose an appropriate level of accuracy?Reason quantitatively and use units to guide the solution of problems, choosing and interpreting units consistently and reporting answers to an appropriate accuracy (LA A1: N-Q.A.1, N-Q.A.2, N-Q.A.3).9 min answer →
Functions
Module overview →- What is the average rate of change of a function over an interval, and how do you compute it from a graph, table, or formula?Calculate and interpret the average rate of change of a function over a specified interval (LA A1: F-IF.B.6).9 min answer →
- How do you write a function that models a relationship between two quantities from a description, a table, or a graph?Write a function that describes a relationship between two quantities, building a linear or exponential model from a context (LA A1: F-BF.A.1, F-LE.A.2).10 min answer →
- How do linear, quadratic, and exponential functions differ, and how do you tell them apart from a graph, table, or context?Distinguish linear, quadratic, and exponential functions by their rate of change and recognize that a quantity growing by a constant factor eventually exceeds one growing linearly (LA A1: F-LE.A.1, F-LE.A.3).10 min answer →
- What does function notation mean, how do you evaluate f(x), and how do you find the domain and range?Understand function notation and evaluate functions, and determine the domain and range from a rule, a graph, or a table (LA A1: F-IF.A.1, F-IF.A.2, F-IF.B.5).10 min answer →
- How do you read the key features of a graph, intercepts, increasing and decreasing intervals, maximums and minimums, and explain them in context?Interpret key features of a graph or table, intercepts, intervals of increase and decrease, maximums and minimums, and end behavior, in terms of the situation (LA A1: F-IF.B.4).10 min answer →
- How do arithmetic and geometric sequences work, and how do you find a term using the reference-sheet formulas?Recognize arithmetic and geometric sequences and find a term using the explicit formulas, connecting them to linear and exponential functions (LA A1: F-BF.A.2, F-IF.A.3).9 min answer →
Linear Equations and Inequalities
Module overview →- How do you translate a real-world situation into an equation or inequality you can solve?Create equations and inequalities in one variable from a context and use them to solve problems (LA A1: A-CED.A.1).10 min answer →
- What do slope and the intercepts tell you about a line, and how do you find them from an equation, a graph, or a table?Find the slope and intercepts of a linear function and interpret them in context, working from an equation, a graph, or a table (LA A1: A-REI.D, F-IF.B).10 min answer →
- How do you rearrange a formula to solve for a different variable, treating the other letters as constants?Rearrange formulas and literal equations to highlight a quantity of interest, using the same reasoning as solving equations (LA A1: A-CED.A.4).9 min answer →
- How do you solve a linear equation in one variable, and how does each step follow from the properties of equality?Solve linear equations in one variable, including equations with variables on both sides and with letter coefficients, and recognize when an equation has one solution, no solution, or infinitely many (LA A1: A-REI.B.3).10 min answer →
- How do you solve a linear inequality, and why does the inequality sign flip when you multiply or divide by a negative?Solve linear inequalities in one variable and graph the solution set on a number line, reversing the inequality when multiplying or dividing by a negative (LA A1: A-REI.B.3).9 min answer →
- How do you write the equation of a line from a slope and a point, two points, or a graph?Write the equation of a line in slope-intercept and point-slope form given a slope and a point, two points, or a graph (LA A1: F-IF, A-CED, building linear models).9 min answer →
Quadratics
Module overview →- How do you graph a quadratic function and find its vertex, axis of symmetry, and intercepts?Graph a quadratic function and identify the vertex, axis of symmetry, intercepts, and direction of opening (LA A1: F-IF.C.7, F-IF.B.4).10 min answer →
- How do you model a real situation with a quadratic and interpret the vertex and zeros in context?Model real-world situations with quadratic functions and interpret the vertex, zeros, and intercepts in context, such as projectile height and area (LA A1: A-CED.A.1, F-IF.B.4).10 min answer →
- How do you use the reference-sheet quadratic formula to solve any quadratic, and what does the discriminant tell you about the solutions?Solve quadratic equations using the quadratic formula from the reference sheet, and use the discriminant to determine the number of real solutions (LA A1: A-REI.B.4).11 min answer →
- How do you solve a quadratic equation by factoring, and why does the zero product property give the solutions?Solve quadratic equations by factoring and applying the zero product property (LA A1: A-REI.B.4, A-SSE.B.3).9 min answer →
- How do you solve a quadratic by taking square roots or by completing the square, and when is each method best?Solve quadratic equations by taking square roots and by completing the square, and use completing the square to write vertex form (LA A1: A-REI.B.4, A-SSE.B.3).10 min answer →
Statistics and Probability
Module overview →- How do you measure the center and spread of data, and how do outliers affect the mean, median, and range?Use measures of center (mean, median) and spread (range, interquartile range) to describe and compare data sets, and account for the effect of outliers (LA A1: S-ID.A.2, S-ID.A.3).9 min answer →
- What does the correlation coefficient measure, and why does correlation not prove causation?Interpret the correlation coefficient of a linear fit and distinguish correlation from causation (LA A1: S-ID.C.8, S-ID.C.9).9 min answer →
- How do you represent a data set with a dot plot, histogram, or box plot, and what does each show?Represent data with dot plots, histograms, and box plots, and read the shape of a distribution from them (LA A1: S-ID.A.1).9 min answer →
- How do you fit a line to a scatter plot and use it to make predictions, interpreting its slope and intercept?Fit a linear model to a scatter plot and interpret the slope and intercept in context, using the line to predict (LA A1: S-ID.B.6, S-ID.C.7).10 min answer →
- How do you read a two-way frequency table and compute joint, marginal, and conditional relative frequencies?Summarize categorical data in a two-way frequency table and interpret joint, marginal, and conditional relative frequencies (LA A1: S-ID.B.5).9 min answer →
Systems of Equations and Inequalities
Module overview →- How do you graph a linear inequality in two variables, and which side of the boundary line do you shade?Graph a linear inequality in two variables as a half-plane, using a solid or dashed boundary and shading the correct side (LA A1: A-REI.D.12).9 min answer →
- How do you set up a system of equations or inequalities to model a real-world situation and answer the question?Represent constraints by a system of equations or inequalities and interpret solutions as viable or nonviable options in context (LA A1: A-CED.A.3).10 min answer →
- How do you solve a system of two linear equations using substitution and elimination, and what does the solution mean?Solve systems of two linear equations in two variables algebraically using substitution and elimination (LA A1: A-REI.C.6).10 min answer →
- How do you solve a system by graphing, and how does the intersection point relate to the algebraic solution?Solve a system of two linear equations by graphing and recognize that the intersection point is the solution (LA A1: A-REI.C.6, A-REI.D.11).9 min answer →
- How do you graph a system of linear inequalities, and what does the overlapping region represent?Graph the solution set of a system of two or more linear inequalities as the overlap of the half-planes (LA A1: A-REI.D.12).9 min answer →