Algebra 1 includes using variables, solving equations for unknown variables, representing relationships between quantities as equalities (or inequalities) in graphs, symbols, and meaningful word problems, recognizing and describing relationships and patterns such as ratios and proportions, direct and inverse variation, and introduction to functions, slope/intercept formulas of linear functions (y = mx + b), standard form for linear functions (Ax + By = C), distinguishing between linear and exponential relationships, representing exponents symbolically, including negative and fractional exponents, and solving problems involving exponents such as compound interest calculations. I utilize multiple representations such as graphic, symbolic, and verbal, even rhythmic and spatial, to unify an understanding of geomtry with algebra and real world applications.
I passed three bar exams on my first try: NY, MA, and FL, including the multi-state exam, shortly -- about 4 months -- after graduating from law school, in 1985. I took a bar review course which helped to emphasize testable topics, and to engage a support network of fellow students and instructors. My hard, honest work during law school nurtured my scholarly development, so I can spot issues, identify operative facts, and apply analogous logic with ease. To prep a student today, I would need access to recent publications tracking frequently tested topics over time and recently.
English can be taught on all levels; language is an art.
Beginners, including young people and those learning it as a second language, would focus on vocabulary and grammar. Fundamentals include the parts of speech, sentence construction, punctuation, writing paragraphs, short essays and reports, and simple poetry.
Advanced work includes longer reports and essays, with more organization including contents and bibliographies. High school students could also read and write plays and songs or lyrics, and more poetry. On the adult level, I would put published works, and interoffice communications, legal and business documents.
All students practice reading, writing, and speaking with increasing sophistication.
I teach genetics on the high school level as part of a year long biology sequence. We cover molecular structure of DNA and RNA, chromosomes, chromatids, cell duplication, genotype, phenotype, Punnett Squares, Mendelein genetics, laws of dominance, genetic expression such as switching genes on and off, sources of mutations, codons, base pairs. We cover everything that might be on the BIOLOGY MCAS about genetics, and some material that might be on AP BIOLOGY exam, but not college level or higher. I have been teaching this for more than 5 years.
I have a Masters of Laws in Taxation from New York University School of Law, or an "Ll.M". I took courses in income taxation for individuals, for corporations, estates and trusts. I worked for a large bank in NY a tax legal research assistant, and I worked in publishing editing tax textbooks. I have represented clients in tax court. I can show a person to make sense of incomes, deductions, credits, various schedules, and the policy reasons for the rules, sometimes just be reading the free publications put out by the IRS or state.