Algebra I
Learning to Represent Relationships
Algebra I teaches students to represent situations with expressions, equations, functions and graphs — and to move between those representations.
8 units · 38 mapped skills
Curriculum atlas
Mathematics is connected.
Fractions influence algebra. Algebra influences functions. Functions support trigonometry, precalculus, statistics and calculus. The Think-Nth Curriculum Library makes those connections visible from middle school through university.
These maps are not rigid tutoring scripts. Each student's plan is built around their course, current understanding, goals and academic evidence. Students may enter at any point.
01
The library
Forty-three maps. One connected system.
Search by course, topic or examination, or move through the academic stages to inspect the units and dependencies inside each map.
The core sequence from Algebra I through precalculus and statistics.
Geometry
Reasoning, Proof, Shape and Space
Geometry is the course where students learn to justify. Alongside shape and measurement, it teaches deductive reasoning and formal proof.
9 units · 48 mapped skills
Algebra II
Extending Algebra Into Advanced Functions
Algebra II deepens students' understanding of functions and prepares them for precalculus, statistics and advanced mathematics.
9 units · 40 mapped skills
Trigonometry
Angles, Circles and Periodic Reasoning
Trigonometry connects triangles, the unit circle and periodic functions, and supplies much of the machinery precalculus and calculus rely on.
8 units · 34 mapped skills
Precalculus
The Bridge to Calculus
Precalculus consolidates every function family a student has met and adds the analytic tools calculus will assume from the first week.
9 units · 34 mapped skills
Statistics & Probability
Reasoning Carefully From Data
Statistics teaches students to describe data honestly, quantify uncertainty and judge what a sample can support.
8 units · 30 mapped skills
02
Connected mathematics
See how the curriculum progresses.
Students may enter at any point. Select a stage to inspect the complete map and the mathematics that follows.
A connected branch: Statistics and probability develop alongside the algebra-to-calculus pathway. Explore Statistics
03
Evidence of learning
Four stages, not grades.
Educators describe each skill using the same evidence language, so students, families and schools know what current work supports.
- 01
Not Yet Assessed
- 02
Developing
- 03
Secure
- 04
Independent
Not Yet Assessed
There is not enough evidence to determine the student's current understanding.
Developing
The student can complete parts of the skill with guidance.
Secure
The student can complete representative problems accurately and explain the reasoning.
Independent
The student can apply the skill accurately to unfamiliar or mixed problems without prompting.
04
The learning system
Curriculum becomes instruction, practice and evidence.
- 01
Curriculum map
- 02
Matched instruction
- 03
Math Lab practice
- 04
Progress evidence
About these curriculum maps
Think-Nth curriculum maps describe the mathematics our educators may support. They are designed to help students and families understand how mathematical ideas connect across courses.
Course sequences, standards, examination specifications and topic names vary by school, university, state, country and examination board. Tutoring is therefore aligned to the student's actual course materials and current official curriculum whenever applicable.
Think-Nth does not replace a student's school curriculum or examination board. The Curriculum Library serves as a learning map for personalized academic support.