Disc 08: Math B

Disc 8 extends the 'math concepts' approach, with examples of more advanced functions, probability and combination problems, logical statements, and compound interest. The bulk of this disc, however, is devoted to geometry as it is tested on the SAT. This disc is especially helpful to students who may have had trouble with geometry as it is presented in high school. For example, although proofs are not covered, area, length, slope, volume, special right triangles, similar triangles, arcs, sectors, volume, surface area, and perimeter are all explored--and these are all covered in the way they are tested on the SAT.

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Contents [Index numbers, found in the lower right-hand corner of each panel both on-screen and in the workbook, are formatted Disc#-Panel#. The first number refers to the disc the lesson is on, and the second number indicates the starting panel.]

• Math B #1: 8-1; More advanced functions, direct & inverse variation.
• Math B #2: 8-9; Probability & possible combinations.
• Math B #3: 8-17; Logical statements, work problems, compound interest.
• Math B #4: 8-25; Basic geometry: straight lines, parallel lines, area of a rectangle, Pythagorean theorem.
• Math B #5: 8-33; Corresponding sides/angles, isosceles right triangles, 30-60-90 triangles.
• Math B #6: 8-41; More 30-60-90 triangles, mnemonics for special triangles, exterior angles, similar triangles.
• Math B #7: 8-49; Similar triangles, limits on triangles' side length, shaded areas, parallelograms, points on a line.
• Math B #8: 8-57; Area/circumference of a circle, sectors, arcs, shaded regions in circles, central vs. inscribed angles in a circle.
• Math B #9: 8-65; Inscribed angles in a circle, squares, right triangles, equations/points/slopes of lines, properties of perpendicular lines.
• Math B #10: 8-73; Slope, interior angles in a polygon, volumes of cubes, rectangular solids, and cylinders; surface area of a cube, using the super-Pythagorean theorem.
• Math B #11: 8-81; Cube/sphere intersections, volumes, surface area, nesting shapes inside one another.
• Math B #12: 8-89; Nested shapes, perimeter, grids, subdividing regions.