Grade 11 Grade Kit: Printable Trigonometry, Pre-Calculus and English Practice (PDF)

The Grade 11 Grade Kit is a 144-page printable practice kit for students ages 16 to 17, for home, homeschool or classroom. The pages have a clean, grown-up look made for high school students. Thirty to forty-five minutes a day is plenty.

What is inside

• Math, 31 pages of trigonometry and pre-calculus with statistics: radians and the unit circle, graphs of sine, cosine, tangent and secant, identities, sum, double-angle and half-angle formulas, proving identities, solving trigonometric equations, the laws of sines and cosines, elevation, depression and bearings, inverse trigonometric functions, polar coordinates and polar graphs, complex numbers in polar form, De Moivre's theorem and nth roots, vectors, conic sections, rational functions, polynomial division and roots, composition and inverse functions, parametric equations, limits of sequences, the binomial theorem, conditional probability, random variables and the binomial distribution, the exponential distribution, data displays, standard deviation and the normal distribution, a review and a check.
• Reading, 16 pages: words from government and history, organization and syntax, verifying facts in documents, analyzing a public document, satire and parody, judging an author's argument, a story (The Clockmaker's Drawer), American literary periods, Emerson and Thoreau, world literary periods, imagery and sound in poetry, a Shakespeare sonnet, and true-facts pages on the gas laws, electricity and magnetism, the Great Depression and New Deal, and the civil rights movement.
• Vocabulary, 20 pages: eight weeks of word study (Anglo-Saxon roots, words from economics and business, words for argument and logic, words that are easy to confuse, words from other languages, science words, 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: logical fallacies, deductive and inductive reasoning, four kinds of persuasive speeches, media and democracy, sentence variety, a literary analysis, a short story, a reflective essay, a resume and cover letter, and a multimedia presentation plan.
• Study tools, 7 charts: trigonometry formulas, the unit circle, polar form, vectors and conics, probability and statistics, exponents and logarithms, parent functions and transformations, and argument and rhetoric.
• Puzzles, 7 pages: Identity Match cards, a proof puzzle, a trig 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). Density curves, mean and variance of a random variable, normal probabilities with a z-table, sampling distributions, the central limit theorem, confidence intervals and margin of error, hypothesis tests and P-values, chi-square tests, correlation, least-squares regression, vectors in three dimensions, the dot product, systems as geometry, determinants, volume and inverses, matrix transformations, the rhetorical analysis essay, counterarguments and concessions, close reading of a philosophical essay, comparing translations, the personal statement, chemical equilibrium, nuclear processes, GDP, inflation and unemployment, and the Federal Reserve and monetary policy. 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 11 math here follows the 1997 Trigonometry, Mathematical Analysis and Probability and Statistics standards. English pages follow the Grades 11 and 12 standards, and the history pages follow the Grade 11 U.S. history standards. The challenge pages follow California's 1997 Advanced Placement Probability and Statistics and Linear Algebra standards, the Grades 11 and 12 English standards pushed to college-level tasks, the high school chemistry standards and the Grade 12 economics standards. 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 11 level pages (15 math, 5 reading and 4 true-facts pages) also appear as the Super Smart pages of our Grade 9 Grade Kit. The exponents and logarithms chart and the parent functions and transformations chart also appear in our Grade 10 kit. The trigonometry formulas chart and the unit circle chart also appear in our Grade 12 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 Identity 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.