Grade 12 Grade Kit: Printable Calculus and English Practice (PDF)

The Grade 12 Grade Kit is a 144-page printable practice kit for students ages 17 to 18, for home, homeschool or classroom. The pages have a clean, grown-up look made for high school students, and the math pages leave a work space for calculus. Thirty to forty-five minutes a day is plenty.

What is inside

• Math, 31 pages of calculus with some linear algebra: limits, limit laws and special limits, continuity, the derivative, the power, product, quotient and chain rules, trig, exponential, log and inverse trig derivatives, implicit and parametric differentiation, higher-order derivatives, motion, the mean value theorem, curve sketching, optimization, related rates, L'Hôpital's rule, Riemann sums, the Fundamental Theorem, antiderivatives, integrals as accumulation, area between curves, volumes of solids of revolution, arc length, surface area and work, integration by parts, trig integrals and trig substitution, partial fractions, Newton's method and Simpson's rule, Gauss-Jordan elimination, matrix products and inverses, a review and a check.
• Reading, 16 pages: analogies, an essay's philosophical assumptions, a story (The Speech He Could Not Make), British literary periods, Chaucer in Middle English, a Wordsworth sonnet, Macbeth's "Tomorrow" soliloquy, Susan B. Anthony's 1873 speech, archetypes, the rhetoric of speeches, critical lenses, philosophical arguments in literature, and true-facts pages on reaction rates, thermodynamics, supply and demand, and checks and balances.
• Vocabulary, 20 pages: eight weeks of word study (words from philosophy, law and government, medicine and life science, words that are easy to confuse, literature and criticism, Greek and Latin roots, college-ready academic words, and words that are often misspelled), each with a word page and a practice page, plus four test pages.
• Language and writing, 10 pages: research questions and interviews, research notes and outlines, quoting and citing sources (MLA), synthesizing sources, a historical investigation report, advanced punctuation, precise diction and concision, style and voice, a persuasive essay, and a recitation.
• Study tools, 7 charts: limits and derivatives, integral rules, uses of calculus, trigonometry formulas, the unit circle, literary terms and critical lenses, and research and citation.
• Puzzles, 7 pages: Derivative Match cards, a proof puzzle, a calculus relay, a logic grid, riddles, cryptograms and Math Cages.
• Super Smart Challenge, 24 pages: optional pages at college level (there is no Grade 13, so they reach into first-year college work). Improper integrals, sequences, series and convergence tests, power series, Taylor polynomials and Taylor series, separable differential equations, growth, decay and cooling, slope fields and Euler's method, logistic growth, area in polar coordinates, motion along a curve, eigenvalues and eigenvectors, the annotated bibliography, the literature review, writing about data, the argumentative research essay, the editorial, thermochemistry and Hess's law, electrochemistry, fiscal policy and the federal budget, and parliamentary and presidential systems. Each page teaches first, then lets the student try.
• For the student and the grown-up: a how-to page, an 8-week plan, a skills checklist, a progress tracker, a study log, a full answer key and a certificate.

Good to know

Traditional, skills-first practice based on California's pre-Common Core standards (math and English language arts, 1997; science and history-social science, 1998). Grade 12 math here is based on the 1997 Calculus standards 1.0 to 21.0 (without the formal epsilon-delta definition and proofs) and selected Linear Algebra standards (row reduction, matrix products, inverses and determinants). English pages follow the Grades 11 and 12 standards; the true-facts pages follow the high school chemistry and physics standards and the Grade 12 economics and American democracy standards. The challenge pages follow the 1997 Calculus standards 22.0 to 27.0 and go on into first-year college topics, with college-level writing, chemistry, economics and government. Not affiliated with or endorsed by the California Department of Education or the College Board. States set their own standards. Check yours.

This kit is supplemental practice, not a curriculum. It was made with AI assistance. Every math answer in the key is computed by code and checked (answers marked Sample are models), and each science and true-facts page is checked against at least two reference sources, listed at the end of the answer key.

Some pages are shared with our other kits: 24 Grade 12 level pages (15 calculus and matrix pages, 3 reading pages, 2 language pages and 4 true-facts pages) also appear as the Super Smart pages of our Grade 10 Grade Kit. The trigonometry formulas chart and the unit circle chart also appear in our Grade 11 kit. If you own those kits, you already have them.

Print on US Letter paper. The inside pages print well in black ink; the cover looks best in color. Print the cut-out page (the Derivative Match cards) on one side only, on heavier paper if you have it.

You receive one PDF file, delivered after purchase. For your own family or your own classroom. Please do not resell or share the file.