Louisiana LEAP 2025 Algebra I (LDOE): the four reporting categories, the three sessions and calculator policy, Type I, II, and III tasks, the mathematics reference sheet, the five achievement levels, and how to study for the high school assessment

The LEAP 2025 Algebra I assessment is Louisiana's high school End-of-Course mathematics test for the Algebra I course, administered by the Louisiana Department of Education (LDOE). It is built directly from the Louisiana Student Standards for Mathematics, whose Algebra I codes begin with A1 (for example A1: A-REI.B.3, solving linear equations and inequalities). This page is the index for the whole course: it explains the four reporting categories, the three-session structure with its calculator policy, the Type I, II, and III tasks, the online item formats, the mathematics reference sheet, the five achievement levels, and how to study each strand. The topic pages below carry the worked LEAP-2025-style questions across the online item types.

What the test is and why it matters

LEAP 2025 high school tests are course-level assessments. Algebra I is the foundational high school math test, normally taken in grade 8 or grade 9 on completing the course. Algebra I and Geometry are the two high school LEAP 2025 math tests, and a student who takes those courses takes the matching test. Algebra I also feeds forward into Geometry and Algebra II, which makes its skills the base of the whole high school math sequence. The assessment is delivered online, with fall, spring, and summer testing windows so a student can retest if needed.

The four reporting categories

LDOE reports Algebra I performance in four categories. Major Content dominates the test.

Two consequences follow. First, Major Content is the largest block, so fluent work with linear and quadratic equations, functions, and systems is the surest route to a strong score. Second, Expressing Mathematical Reasoning and Modeling and Application are scored through dedicated task types, so the test rewards not only getting an answer but explaining and applying it. The whole test is 39 tasks worth 68 points, so each category is sampled by several tasks of differing point value.

The three sessions and the calculator policy

The Algebra I test is given in three sessions, and the calculator rule changes within Session 1.

• Session 1a: calculator prohibited. This block checks the fluency you must have without a calculator: solving linear equations, simplifying expressions, factoring, and reading a graph.
• Session 1b: calculator allowed. A graphing calculator (recommended) or a scientific calculator is permitted, including the calculator built into the online platform.
• Session 2: calculator allowed.
• Session 3: calculator allowed.

On the calculator sessions you may use an approved graphing calculator (recommended) or a scientific calculator, including the embedded online calculator. Calculators with computer-algebra-system (CAS) features, QWERTY keyboards, paper tape, or wireless and internet access are prohibited. Students with an approved accommodation may use a calculator in all sessions, including Session 1a.

Type I, Type II, and Type III tasks

LEAP 2025 calls its items tasks and sorts them into three types by purpose. Each type maps to a reporting category.

Type I tasks are the bulk of the points and the fastest to bank. Type II and Type III tasks are worth more and often have multiple parts, so they reward a clear setup and written justification, not just a final number.

The item formats

Within those task types, the online test uses several item formats. You will meet these on Algebra I:

• Multiple choice (MC). Four options, one correct, no partial credit.
• Multiple select (MS). More than one option is correct; the prompt says "Select all that apply" or "Select the TWO." Read how many to choose.
• Equation or numeric entry. You type a number, an expression, an equation, or an inequality using an on-screen equation editor, for example entering $y = 2x + 3$ or $\dfrac{-2 \pm \sqrt{5}}{2}$.
• Graphing. You place points, a line, or a parabola on a coordinate grid, for example plotting a vertex or shading the boundary of an inequality.
• Drag and drop. You move numbers, expressions, ordered pairs, or steps into tables, categories, or onto a figure.
• Constructed response. You write out reasoning or a model, often in a multi-part item where the second part depends on the first.

The mathematics reference sheet

Every high school LEAP 2025 math test provides a mathematics reference sheet (the same sheet for Algebra I and Geometry). Knowing what it does not give you matters as much as knowing what it does.

The sheet provides:

• The quadratic formula. $x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ for $ax^2 + bx + c = 0$.
• Sequences and series. Arithmetic $a_n = a_1 + (n - 1)d$, geometric $a_n = a_1 r^{\,n-1}$, and a geometric series formula $S_n = \dfrac{a_1 - a_1 r^n}{1 - r}$ for $r \ne 1$.
• Area formulas. Triangle $A = \tfrac{1}{2}bh$, parallelogram $A = bh$, and circle $A = \pi r^2$.
• Volume formulas. Prism $V = Bh$, cylinder $V = \pi r^2 h$, cone $V = \tfrac{1}{3}\pi r^2 h$, pyramid $V = \tfrac{1}{3}Bh$, and sphere $V = \tfrac{4}{3}\pi r^3$.
• Common unit conversions (for example $1$ pint $= 2$ cups).

The sheet does NOT provide, so you must carry these in memory (or build them with the calculator):

• The exponent properties (product, quotient, power, negative, and rational-exponent rules).
• The factoring patterns (difference of squares and perfect-square trinomials).
• The line forms. Slope $m = \dfrac{y_2 - y_1}{x_2 - x_1}$, slope-intercept $y = mx + b$, point-slope $y - y_1 = m(x - x_1)$, and standard form.
• Vertex form $f(x) = a(x - h)^2 + k$ and the axis of symmetry $x = \dfrac{-b}{2a}$.
• The exponential model forms $f(x) = ab^x$, growth $y = a(1 + r)^t$, and decay $y = a(1 - r)^t$.
• Any statistics formula (mean, the five-number summary, or a line of best fit). These you reason about or compute with the calculator.

The achievement levels

Raw points convert to a scale score from 650 to 850, reported in five achievement levels from least to most mastery. The Algebra I cut scores are:

Mastery is Louisiana's proficiency target, the level that signals a student is on track for the next course and for college and career readiness, which is why state reporting tracks the percentage of students scoring Mastery and above. The raw points needed for each level are equated across forms, so the scale-score thresholds are constant even when the items differ. Aim past Basic and into Mastery: securing Major Content reliably and adding the reasoning and modeling points is what moves a student over that line.

How to study LEAP 2025 Algebra I

1. Bank Major Content first. Linear equations and inequalities, systems, and linear and quadratic functions are the largest, most reliable block of points.
2. Drill the non-calculator skills for Session 1a. A whole session bans the calculator. Solving, factoring, simplifying, and graph reading must be automatic.
3. Practice writing reasoning for Type II. Expressing Mathematical Reasoning items ask you to justify and explain, so rehearse stating why a step is valid, not just doing it.
4. Rehearse modeling for Type III. Set up the equation, function, or system from a real-world description, solve, and interpret the answer in context.
5. Train every item format. Equation and numeric entry, multiple select, graphing, drag and drop, and constructed response, not just multiple choice. The test rewards producing answers.
6. Memorize what the sheet omits. The exponent rules, factoring patterns, line forms, vertex form, and exponential models are not on the reference sheet, and no statistics formula is either.

The course, topic by topic

Each topic below has its own answer page with worked LEAP-2025-style questions across the online item types, plus an overview guide and a quiz for each module.

Expressions and Structure (Major plus Additional and Supporting Content).

• Interpreting expressions and their parts, equivalent forms and factoring, polynomial operations, exponents and exponent rules, radicals and rational exponents, units, quantities, and accuracy.

Linear Equations and Inequalities (Major Content).

• Solving linear equations in one variable, rearranging literal equations and formulas, solving linear inequalities, creating equations and inequalities from context, linear functions, slope, and intercepts, writing equations of lines.

Systems of Equations and Inequalities (Major Content).

• Solving systems of linear equations algebraically, solving systems by graphing, graphing linear inequalities, systems of linear inequalities, modeling with systems and constraints.

Functions (Major Content).

• Function notation, domain, and range, interpreting key features of graphs, average rate of change, building functions that model relationships, arithmetic and geometric sequences, comparing linear, quadratic, and exponential models.

Quadratics (Major Content).

• Solving quadratics by factoring, solving by square roots and completing the square, the quadratic formula and the discriminant, graphing quadratic functions and key features, quadratic applications and modeling.

Statistics and Probability (Additional and Supporting Content).

• Representing data: dot plots, histograms, and box plots, comparing center and spread, two-way frequency tables, scatter plots and linear models, correlation and the correlation coefficient.

For the official materials

LDOE publishes the LEAP 2025 Assessment Guide for Algebra I, the calculator policy, the high school mathematics reference sheet, released practice tests, and the scale-score conversion tables on its assessment guidance pages, and the Louisiana Student Standards for Mathematics live in the LDOE teacher toolbox. Always study from the current released practice tests and the official assessment guide, because the item types, the scoring, and the standards are specific to Louisiana LEAP 2025.