Move from foundation math into calculus thinking.
Book 2 is the bridge between college math foundations and calculus readiness. Students review algebra, learn function thinking, use trigonometry as a practical tool, understand rates of change, and begin recognizing differentiation and integration.
This path is especially useful for adult learners, STEM-bound students, engineering technology students, robotics students, and anyone who wants calculus to feel less intimidating before taking a formal course.
Recommended Book 2 Learning Path
- Make algebra equation-handling automatic.
- Understand input, output, and function behavior.
- Use trigonometry for motion, geometry, and components.
- Understand average and instantaneous rates of change.
- Preview differentiation and integration before formal calculus.
Where this fits in DNAPOT
Book 1 builds college math foundations. Book 2 prepares students for calculus thinking. Book 3 continues into Calculus I, Calculus II, and Calculus III.
Book 2 Chapters
Each chapter will become an interactive practice module with mini lessons, worked examples, instant feedback, and mastery checks.
Algebra Foundations for College Math
Make equation-handling automatic before moving into functions and calculus.
- Solving linear equations
- Rearranging formulas
- Ratios and proportions
- Squares and square roots
- Units inside equations
Functions: Input, Output, and Change
Prepare for function thinking, graphs, and change-based reasoning.
- What a function means
- Function notation
- Linear functions and slope
- Quadratic functions
- Reading functions from tables and graphs
Trigonometry for Motion and Geometry
Use trigonometry as a practical tool, not a memory test.
- Right triangles
- Sine, cosine, and tangent
- Resolving components
- Direction and sign
- Degrees and radians
Rates of Change
Introduce calculus ideas through motion, graphs, tables, and change.
- Average rate of change
- Rate from a table
- Rate from a graph
- Instantaneous rate concept
- Acceleration as rate of velocity change
Introductory Differentiation & Integration
Preview calculus by connecting rates, derivatives, accumulation, and integrals.
- Differentiation as rate at a moment
- Derivative notation
- Simple derivatives
- Integration as accumulation
- How differentiation and integration connect
Book 2 Mastery Check
Mixed review of all Book 2 topics before moving into Calculus I–III.
- Algebra readiness
- Function thinking
- Trigonometry tools
- Rates of change
- Intro calculus ideas