Printable High School Calculus Units: From Derivatives to Integrals
Printable High School Calculus Units: From Derivatives to Integrals
The High School Calculus Units Bundle gives you six printable units for Grades 11–12, running from differentiation rules through curve analysis and extreme points to integral calculus, plus exponential and trigonometric functions. It costs $89.99, against $149.94 for the six units bought separately, and suits a calculus class or a senior math course that needs ready lessons.
View the calculus unitsThe High School Calculus Units Bundle costs $89.99 and contains six units for Grades 11–12: Differentiation rules and the derivative function; Curve analysis of polynomial functions; Extreme and inflection points with applied problems; Integral Calculus – Areas and the Antiderivative; The e-function and exponential growth processes; and Trigonometric Functions – Sine and Cosine. Bought separately they total $149.94. It is a set of units, not a full-year course.
The resources
High School Calculus Units Bundle, Grades 11–12
6 resources in one download: $89.99 instead of $149.94 bought separately.
Start with the first resource; the others are optional add-ons. Open any cover for the full contents and price.
High School Calculus Units Bundle | Derivatives, Curve Analysis, Integrals, Exponential & Trig Functions | 6 Units | Grades 11–12
Probability & Statistics Units Bundle | Tree Diagrams, Conditional Probability, Binomial Distribution & Hypothesis Tests | 5 Units | Grades 9–12
Pre-Calculus Prep Bundle | Quadratics, Function Transformations, Derivatives & Graph Analysis | 3 Workbooks | Grades 9–12
Complete Algebra Bundle | All 10 Algebra Workbooks from Expressions to Function Transformations | Grades 5–12
The real problem
Where calculus students lose their footing
Calculus is where many strong math students first struggle. The rules of differentiation are easy to memorize, but students stumble when they have to use them: finding where a function rises and falls, deciding whether a point is a maximum or an inflection point, or setting up an applied problem from a paragraph of text. For the teacher, the hard part is building enough practice between the textbook explanation and the test. Textbooks often jump from one worked example to a long exercise list with no middle step. Teachers of senior electives have it harder still, since they may need a few good units on derivatives or integrals without a calculus textbook at all. Two topics cause particular trouble. Exponential functions appear in growth problems that feel abstract until students see real processes. Sine and cosine return from earlier years, now as functions to analyze rather than triangle ratios. And integrals only make sense once students see the antiderivative as the reverse of what they just learned and connect it to area under a curve.
Why it fits
How the six units build on each other
The units follow the usual line of a first calculus course, from the derivative to the integral.
- Differentiation rules and the derivative function lays the groundwork every later unit depends on.
- Curve analysis of polynomial functions turns derivative rules into a method students can repeat.
- Extreme and inflection points with applied problems moves from graphs to word problems.
- Integral Calculus – Areas and the Antiderivative introduces integration through area under a curve.
- The e-function and exponential growth processes ties calculus to growth students can picture.
- Trigonometric Functions – Sine and Cosine revisits trig as functions to analyze, beyond triangle ratios.
Getting started
A possible order for the six units
Teach them in this order for a first calculus course, or pick single units for a senior elective. Timing is up to you.
- Secure the derivative rulesBegin with Differentiation rules and the derivative function. Make sure students differentiate polynomials fluently before moving on; every later unit assumes it, and gaps here resurface in every test.
- Analyze polynomial curvesUse Curve analysis of polynomial functions to build a repeatable routine students follow for every function. Students who work through the same steps each time make fewer errors under test pressure.
- Apply it to extremes and inflectionTeach Extreme and inflection points with applied problems. This is where students set up optimization questions from text, so give the applied problems enough class time and model one setup aloud.
- Bring in e and trigonometric functionsAdd The e-function and exponential growth processes and Trigonometric Functions – Sine and Cosine. Both extend the derivative to new function types and connect calculus to processes students can describe in words.
- Finish with integralsEnd with Integral Calculus – Areas and the Antiderivative. Students now see integration as the reverse of differentiation, which makes the antiderivative and the area under a curve much easier to grasp.
What to buy
Calculus units or a broader math bundle
For a calculus course or senior math class, the High School Calculus Units Bundle at $89.99 is the core purchase; the six units cost $149.94 separately. If students need to firm up functions first, the Pre-Calculus Prep Bundle ($44.99, parts $59.97) covers quadratics, graph transformations and a Grade 11 workbook on functions, derivatives and graph analysis. For a statistics strand, add the Probability & Statistics Units Bundle ($69.99). The Complete Algebra Bundle ($129.99, parts $199.90) holds all ten algebra workbooks for review.
Honest limits
What these units are not
This is a set of six units, not a complete calculus course or a textbook replacement. It is not written for AP Calculus, IB or any state's math standards, carries no standards codes and is not endorsed by the College Board or any state, so check it against your own course description. Limits and series are not named in the unit titles, so plan those from other material. Department-wide use needs a short message to Teach Lessons first. If it is not a fit, exchange it within 7 days for store credit of equal value.
Good to know
Frequently asked questions
Is this an AP Calculus curriculum, and does it fit my state's standards?
No. The units are not aligned with AP Calculus, IB or any state's math standards, and they are not endorsed or approved by the College Board, a state or a district. They contain no standards codes. Compare the six unit titles with your course description or syllabus, and use the bundle where it fits.
Are the units printable?
Yes. Everything is a digital download you can print or use in a digital classroom. After purchase the link arrives by email, and the files stay in your customer account under Orders, so you can print again for next year's class without buying the units a second time.
My senior math course is not formal calculus. Is this too much?
Not necessarily. A senior elective may only need derivatives, exponential growth or trig functions without a full calculus sequence. Pick the units that fit, for example the e-function and trig units, and leave out integrals. Each unit stands on its own and is also sold separately.
Do students need a graphing calculator?
The product does not include or require any software or device. If your school uses graphing calculators or graphing apps, they make a useful check during curve analysis and when sketching exponential and trig graphs, but plan around whatever tools your class already has and your course rules allow.
Should I buy the Pre-Calculus Prep Bundle first?
Only if students are shaky on functions. The Pre-Calculus Prep Bundle covers quadratic equations, higher-level functions and graph transformations, and includes a Grade 11 workbook on functions, derivatives and graph analysis. If your class already handles functions confidently, start straight with the calculus units and use your own review where needed.
Can I buy just the integral unit?
Yes. Every part of the bundle is also sold on its own, and the bundle page links to each part with its price. If you need only one or two units, buying them singly makes sense; if you need most of the six, the bundle at $89.99 is far below the $149.94 for all parts.
Get your next calculus unit ready to print
Open the product page to check the six unit titles against your syllabus, then download the set.
View the calculus units