My philosophy is to move from the obvious and the simple to the complex and multi-stage in each topic. Level one questions through level 4: "Easy", "Medium", "Hard", "Ignore Unless".
If the students are answering easily, jump to later questions. If they screw up, add in more scaffolding. Everything I do in SATPrep has already been "taught" - I provide the review and some test-taking strategies that are specific to the SAT. I also believe in using the old ETS question-type of Quantitative Comparisons as they provide a great opportunity to have good Number Theory discussions.
Here, then, is what I see:
(Please add anything in comments)
- compound fractions, mental math.
- rate, ratio, proportions
- percents and decimals
- Pythagorean Theorem
- Pure Radicals ( √300 = 10√3)
- Stats: five-number summary, central tendency & number theory.
- linear functions
- scatterplots w/ writing equations
- linear systems - all three methods
- bar graphs, line graphs, odd choices for independent/dependent, other graphical interpretation. These are now included in the reading section.
- stats (mostly central tendency) and probability
- functions and function notation
- quadratics and complex numbers
- late algebra 2: rational, radical, polynomial functions
- Lines and angles
- Similarity (proportions, part-part or part-whole) and Congruence
- Right triangle trig
- 3d shapes
- Pythagorean Theorem, radicals ( √300 = 10√3) as used in geometric questions
- Grammar - common grammatical errors. These are fun.
- Graphical Interpretation for the math that has been mixed in with the Reading
- Vocabulary - Latin and Greek, looking for patterns.
- Essays types - more about rejecting English class writing in favor of brutally efficient five-paragraph format.
- Reading non-fiction for content and vocab rather than talking skills
Next: some of the worksheets and problem sets.
This may take a few days because I want to wrangle things and rename files.