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ACT Prep Class Tuesday, September 20, 2011

ACT Prep Class Tuesday, September 20, 2011. Agenda ACT Math Overview What does it consist of? What contents are covered? Sample Problem After taking notes on the key points, identify which content is your strength and which content is your weakness. What does the Math test consist of?.

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ACT Prep Class Tuesday, September 20, 2011

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  1. ACT Prep ClassTuesday, September 20, 2011 Agenda ACT Math Overview What does it consist of? What contents are covered? Sample Problem After taking notes on the key points, identify which content is your strength and which content is your weakness.

  2. What does the Math test consist of? • 60 multiple choice questions to be answered in 60 minutes (One minute per question)

  3. Contents Covered on the Math • Topics • Pre-algebra • Elementary and Intermediate Algebra • Coordinate and plane geometry • Trigonometry

  4. Pre-Algebra (23%) Questions in this content area are based on basic operations using:

  5. Elementary Algebra (17%) Questions in this content area are based on

  6. Intermediate Algebra/Coordinate Geometry (15%) • Questions in this content area are based on

  7. Coordinate Geometry (15%). Questions in this content area are based on graphing and the relations between equations and graphs, including points, lines, polynomials, circles, and other curves; graphing inequalities; slope; parallel and perpendicular lines; distance; midpoints; and conics.

  8. Plane Geometry (23%) • Questions in this content area are based on the properties and relations of plane figures, including angles and relations among perpendicular and parallel lines; properties of circles, triangles, rectangles, parallelograms, and trapezoids; transformations; the concept of proof and proof techniques; volume; and applications of geometry to three dimensions.

  9. Trigonometry (7%) • Questions in this content area are based on understanding trigonometric relations in right triangles; values and properties of trigonometric functions; graphing trigonometric functions; modeling using trigonometric functions; use of trigonometric identities; and solving trigonometric equations.

  10. Sample Math Problem • Which of the following is equivalent to (x)(x)(x)(x), for all x ? A. 4xB.x4C.x + 4D. 4xE. 2x2

  11. Sample Math Problem Answer Which of the following is equivalent to (x)(x)(x)(x), for all x ? • A. 4xB.x4C.x + 4D. 4xE. 2x2 A is Incorrect A is 4x = x + x + x + x, which is not the same as the product of 4 factors of x. B is Correct! • The correct answer is B. By definition, x4 means the product of 4 factors of x so x4 is equivalent to (x)(x)(x)(x). C is Incorrect • x + 4 is not the same as the product of 4 factors of x. D is Incorrect • 4 x is x factors of 4, which is not the same as the product of 4 factors of x. E. Is Incorrect • 2x2 is 2 xx, which is not the same as the product of 4 factors of x.

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