SIVI Math Labs
SIVI LLC · INTERACTIVE MATHEMATICS

Figure
it out.

Six interactive math labs built for curiosity, visual reasoning, and self-paced discovery.

From your first algebraic expression to the tangent line of a curve, SIVI Math Labs turn high school and college-prep mathematics into hands-on exploration—with worked examples, live diagrams, step-by-step guidance, and zero gatekeeping.

Explore All 6 Labs Start with Algebra 1 ↗ View Course Pathway
Jump directly to a lab
01Algebra 1 ↗ 02Geometry ↗ 03Algebra 2 ↗ 04Trigonometry ↗ 05Pre-Calculus ↗ 06Calculus ↗
01 / Philosophy

Curiosity first.
No gates.

Mathematics makes sense when you can see the structure, test an idea, and work through a problem step by step. Every SIVI Math Lab is open to explore in any order—combining visual diagrams, worked examples, guided practice, and low-stress mastery checks.

6 Labs Complete pathway from Algebra 1 through Calculus
204 Topics Interactive explorations with dynamic problem sets
2 Modes Guided Practice & independent Assess rounds
100% Open Self-paced learning in any browser, on any device
02 / The Curriculum

Six labs.
One connected world.

Choose a course below to launch its interactive lab. Start at the beginning of a subject or jump straight to the exact concept you want to figure out today.

LAB 01 64 Topics · Full Lab
↗
Foundations & Symbolic Reasoning

Algebra 1 Lab

Expressions, equations, and linear relationships.

Build fluency with variables and algebraic structure. Substitute inputs in Plug It In, group terms in Like-Term Crew, solve equations in Balance Builder, and explore rate of change, inequalities, systems, quadratics, and data modeling in Slope Studio.

Expressions & Equations Slope & Linear Functions Systems & Inequalities Quadratics & Data
sivi.com/algebra1 Launch Algebra 1 ↗
LAB 02 46 Topics · Full Lab
↗
Spatial Intuition & Deductive Proof

Geometry Lab

Explore geometry by moving, making, and figuring it out.

See how shapes, coordinates, and deductive reasoning fit together. Piece routes together in Segment Builder, locate midpoints in Midpoint Detective, calculate direct routes in Diagonal Shortcut, and master angles, triangles, polygons, transformations, circles, and 3D solids.

Segments & Midpoints Coordinates & Distance Angles, Triangles & Polygons Circles, Solids & Proof
sivi.com/geometry Launch Geometry ↗
LAB 03 70 Topics · Full Lab
↗
Advanced Functions & Modeling

Algebra 2 Lab

Functions, transformations, and new relationships.

Chain mathematical machines in Function Mixer, shift and stretch quadratics in Parabola Pilot, and fit real-world data in Exponential Fit Lab. Covers polynomials, rational and radical equations, logarithms, periodic cycles, sequences, and statistical inference.

Function Operations Parabolas & Polynomials Exponentials & Logarithms Sequences & Inference
sivi.com/algebra2 Launch Algebra 2 ↗
LAB 04 8 Explorations · Motion Lab
↗
The Mathematics of Motion

Trigonometry Lab

Triangles become circles. Circles become waves.

Make sense of rotation and periodic rhythm one question at a time. Convert between degrees and radians, master right-triangle ratios and 30°–60°–90° / 45°–45°–90° special triangles, locate unit-circle coordinates and reference angles, and analyze sine and cosine wave amplitude and period.

Degrees & Radians Right & Special Triangles Unit Circle & Quadrant Signs Sine & Cosine Graphs
sivi.com/trigonometry Launch Trigonometry ↗
LAB 05 8 Explorations · Pattern Lab
↗
Functions. Patterns. Possibilities.

Pre-Calculus Lab

See the pattern. Find the possibility.

Connect functions, graphs, and the ideas between them so calculus feels like a natural next step. Determine allowed domains and output ranges, compose and invert functions, track polynomial end behavior, spot removable holes, and trace vertical and horizontal asymptotes.

Domains & Ranges Composition & Inverses Polynomial End Behavior Rational Holes & Asymptotes
sivi.com/precalculus Launch Pre-Calculus ↗
LAB 06 8 Explorations · Change Lab
↗
Change. Motion. Discovery.

Calculus Lab

Catch the change. See what follows.

Zoom into a curve, follow a limit, and discover how a changing world becomes something you can understand. Compare average and instantaneous rates of change, evaluate graphical, algebraic, and one-sided limits, test continuity, apply the power rule, and construct tangent lines.

Rates of Change Two-Sided & Algebraic Limits Continuity & Difference Quotient Power Rule & Tangent Lines
sivi.com/calculus Launch Calculus ↗
03 / Course Sequence

From first variable
to instantaneous change.

Follow the classic six-course progression from foundational algebra to differential calculus, or dip into any lab whenever you want to review a concept.

Part I · Foundations & Structure

180 Interactive Topics
01
Algebra 1 Lab Expressions, linear equations, slope, systems & quadratics (64 topics)
sivi.com/algebra1 ↗
02
Geometry Lab Segments, coordinate distance, angles, triangles, circles & solids (46 topics)
sivi.com/geometry ↗
03
Algebra 2 Lab Function families, transformations, polynomials, logs & modeling (70 topics)
sivi.com/algebra2 ↗

Part II · Motion, Patterns & Change

24 Core Explorations
04
Trigonometry Lab Radians, right & special triangles, unit circle & wave graphs (8 explorations)
sivi.com/trigonometry ↗
05
Pre-Calculus Lab Domains, ranges, composition, inverses, end behavior & asymptotes (8 explorations)
sivi.com/precalculus ↗
06
Calculus Lab Rates of change, limits, continuity, derivatives & tangent lines (8 explorations)
sivi.com/calculus ↗
NOTICETRYEXPLAINDISCOVER
04 / Inside Every Lab

Designed for how
people actually learn.

Every lab pairs visual intuition with explicit reasoning—giving learners the space to experiment, see worked examples, and verify what they understand.

01 / WORKED EXAMPLES

See the method first.

Every topic begins with a clear worked example and underlying mathematical rule, plus optional step-by-step hints during practice.

02 / VISUAL DIAGRAMS

Every problem drawn.

Coordinate grids, geometric figures, unit circles, asymptote plots, and tangent curves update dynamically with each question.

03 / PRACTICE & ASSESS

Make reasoning visible.

Move freely between low-stakes Practice rounds and 8-question Assessments that test both calculation and conceptual explanation.

04 / COMFORT FIRST

Accessible by default.

Built with keyboard navigation, screen-reader labels, reduced-motion support, and customizable comfort controls across devices.

05 / Start Exploring

Pick a lab.
Try a question.

No sign-up wall required. Choose any course below to open its interactive lab on sivi.com.

Algebra 1 ↗ Geometry ↗ Algebra 2 ↗ Trigonometry ↗ Pre-Calculus ↗ Calculus ↗