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Definition This theory of the structure and functions of the mind

Right Brain vs. Left Brain. Definition This theory of the structure and functions of the mind suggests that the two different sides of the brain control two different “modes” of thinking. It also suggests that each of us prefers one mode over the other. Discussion

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Definition This theory of the structure and functions of the mind

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  1. Right Brain vs. Left Brain Definition This theory of the structure and functions of the mind suggests that the two different sides of the brain control two different “modes” of thinking. It also suggests that each of us prefers one mode over the other. Discussion Experimentation has shown that the two different sides, or hemispheres, of the brain are responsible for different manners of thinking. The following table illustrates the differences between left-brain and right-brain thinking: http://www.funderstanding.com/content/right-brain-vs-left-brain

  2. Mr Numbers Video http://rightbrainmath.com/ Investigate right brain math Tricks to solve algebra. Amazing simultaneous equation solution. http://www.glad2teach.co.uk/26_Math_tricks_to_learn_algebra_fast.htm

  3. Incredible Mathematics Teaching Techniques Investigator and Implementation Director Florida Virtual Schools

  4. Job Description • Investigates incredible teaching techniques. • Research internet for incredible teaching techniques (school web sites, instructional web, personal web sites and YouTube) • Survey current FLVS mathematics teachers for incredible teaching techniques. • Site visits to Florida Public schools to investigate incredible teaching techniques. • Survey the world. • Select appropriate incredible teaching techniques for implementation. • Evaluate technique for mathematical correctness, ease of understanding, ease of learning , and in extended retention,. • Survey FLVS instructors . • Test incredible teaching techniques. • Test incredible teaching techniques using sample students in double blind setting. • Record speed of learning, length of retention, and satisfaction. • Implement incredible teaching techniques into the FLVS curriculum.

  5. Examples of Incredible Teaching Techniques

  6. DOTS: Difference of Two Squares. Traditional: a2 – b2 = (a – b)(a + b) 9x2 – 16 3x 4 SS  Square Root, Square Root 3x – 4 OM  One Minus 3x + 4 OP  One Plus 9x2 – 16 = (3x – 4)(3x + 4) SS-OM-OP

  7. DOTS: Difference of Two Squares. 25x2 – 36 = (5x – 6)(5x + 6) 16x2 – 49 = (4x – 7)(4x + 7) 64x2 – 81= (8x – 9)(8x + 9)

  8. Square Trinomial Traditional: a2 + 2ab + b2 = (a + b)2 4x2 + 28x + 49 2x 7 SS  Square Root, Square Root (2x)(7)(2) = 28x MAD  Multiply And Double 2x 7 SS  Square Root, Square Root ( 2x + 7 )2 SSMAD (use the middle sign)

  9. Square Trinomial Traditional: a2 – 2ab + b2 = (a – b)2 9x2 – 30x + 25 3x 5 SS  Square Root, Square Root (3x)(5)(2) = 30x MAD  Multiply And Double 3x 5 SS  Square Root, Square Root ( 3x – 5 )2 SSMAD (use the middle sign)

  10. Square Trinomial 16x2 – 72x + 81 4x 9 SS  Square Root, Square Root (4x)(9)(2) = 72x MAD  Multiply And Double 4x 9 SS  Square Root, Square Root ( 4x – 9 )2 SSMAD (use the middle sign)

  11. Factoring a Trinomial • = 36 3x2 – 20x + 12 – 20 1x36 – 2x – 18x – 2 – 18 2x18 3x2 – 2x – 18x + 12 3x12 x(3x– 2) x(3x– 2) (3x – 2) x(3x– 2) – 6(3x – 2) 4x9 (3x– 2)( x – 6) 6x6

  12. Singing the Quadratic Formula X equals negative b, plus or minus the square root, Of b squared minus 4 ac All over 2 a.

  13. Polynomial Graph – End Behavior f(x) = 5x3 f(x) = – 5x3 Leading coefficient is positive so RISES RIGHT. Leading coefficient is negative so RISES LEFT

  14. Polynomial Graph – End Behavior f(x) = 5x3 Leading coefficient is positive so RISES RIGHT. DiscoRight

  15. Polynomial Graph – End Behavior f(x) = – 5x3 Leading coefficient is negative so RISES LEFT Disco Left

  16. Find the slope of the line joining the points (2, 4) and (5, 3). Traditional method Forwards method

  17. 2) Find the slope of the line joining the points (-5,7) and (-3, -8). 1) Find the slope of the line joining the points (3,8) and (-1,2).

  18. This method is used to find a second point on the line if you know a point and the slope. Find the next point on the line using the slope. y If m = 2 =y rise = 2 = y run = 5 = x From (4, 8) find the next point. 2 5 5 x r I S e run Christine’s Method (x , y) + = 5 (9, 10) (x, y) 2 (4, 8) (x , y) (4, 8) (9 , 10) x

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