Simplify Square Roots Worksheet

Lesson Plan - What's amiss with my clock?

EPICS Time Team Community OutreachJohn Witherspoon Middle SchoolEngineering Club

Associated Worksheet for Students

Objective:To animate absolute analytic cerebration and engineering architecture through hands-on learning.To abode the mechanics of clocks.

Materials:(Per Team of 3-4 Students)1 K'Nex Model ClockVarious Parts Needed to Repair the Alarm (e.g., gears, connectors, K'Nex pieces)

Procedure:Form groups of 3 or 4 acceptance each, finer with capricious levels of engineering abilities and background.

Give abrupt addition to the mechanics of clocks.(10 minutes)

Have a appointment from a "troubled CEO". There is a accomplishment birthmark in his alarm factory; consequently, all of the recently-produced clocks are abounding with problems -- easily on backwards, timing is incorrect, movement is backwards, etc. -- that (s)he cannot fix. The CEO asks the acceptance to help, and easily anniversary accumulation a account and mission plan.(5 minutes)

Work on the clocks, aggravating to fix the problems.(30 minutes)

Assess the clocks' advance and accolade prizes.(15 minutes)

Troubled CEO Transcript:Hi, I'm Handsy McClock, CEO of Cool Clocks, Inc. I am actuality on a absolute austere mission. There is article amiss at my factory... all of the clocks that we accomplish aren't alive right! I can't amount out the problems on my own, and I absolutely charge your help. Anniversary accumulation will get one alarm to try to fix. Please, try your hardest! My aggregation -- and all of the clock-lovers about the apple -- are depending on you!

Clock Defects:Each alarm will accept three defects, anniversary of altered adversity to address.

Easy: the alarm is affective in the counterclockwise direction, back it should be affective in a clockwise fashionSolution: the face -- with arrows -- is on the amiss ancillary of the clock. The face needs to be confused to the added ancillary of the clock

Medium: accomplish the alarm move faster or slowerSolution: change the breadth of the pendulum->Relationship amid time and breadth of pendulum:square_root(length) ~ time(The aboveboard basis of the alarm breadth is anon proportional to the aeon - the absolute blueprint is T = 2 pi square_root(I / (mgL)) so because there is an L^2 agency hidden in I, the blueprint can abridge to T ~ square_root(L), all abroad actuality invariant.)So, if the alarm breadth is afflicted by a agency of 2, the acceleration is afflicted by a agency of aboveboard basis of 2. The capital point: beneath alarm is faster, while a best alarm is slower. The exact timing can be begin via balloon and error.

Hard (Complicated): bifold the time that the alarm runsSolution: a carrying needs to be inserted, the alarm breadth charge be doubled, and the weight charge be angled (see diagram)->The carriage: a caster support; the carrying charge be able to cycle because you consistently appetite the weight at the mean of the alarm length->In agreement of energy: the alarm charge abatement slower -- if it is active for bifold the time -- so, charge add added weight to accomplish it run added slowly.

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