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Collection
About these results recent questionnaire showed that many teachers would welcome free materials support classroom activities. pleased include second collection activities with this issue TI-Time special thanks goes contributors. activities illustrated with "screendumps" which show what might expect TI-83, using another model calculator your screen display should look very similar indeed. Screendumps like these very easy create with TI-Graph Link package they then pasted into Windows Macintosh word-processing file. complete package costs about +VAT.For more information about TI-Graph Link, please contact Customer Support Centre (0181-230 3184) very grateful contributors these activities need your help continue provide such support. have produced your materials which would happy distribute, please send them hard copy and, possible, disk. Alternatively, know you've used calculator effective haven't produced written materials. tell what you've done will write adding screendumps presses. We'll then distribute guarantee ensure that given credit idea.
Please send materials hard copy and/or disk
Monika Blair, 1747, Livingston, EH54
Apology
Regrettably details contributors first copyright collection were omitted. would like apologise this oversight take this opportunity acknowledge their valuable contribution. Collection Activity Plotting Scatter Graphs Graphics
Calculator adapted from original material supplied Paul Bennett Egerton Park School Manchester.
Collection Activity Asked students find suitable
equation curve supplied lecturer Tomalin Sheffield College.
ACTIVITY
Adapted from idea supplied Graham Bennett Minster College, Herefordshire.
DIFFERENTIATION DEVELOPMENT
PROCEDURE Following preliminary discussion "gradient" applies curve, idea rate change, usual introduction differentiation made, using graph function week later, TI-83 show graphs nDERIV(Y1,X,X), using ZStandard, thus:
OPTIONS Students asked speculate relationship between Students told that nDERIV instructs calculator work limit order find gradient tangent) rate change, depending image chosen, asked make conjecture.
discussion should follow, leading investigation other polynomials. TABLE facility especially helpful here. This should lead procedural rules. NOTE similar discussion investigation prompted using fnInt shown:
ACTIVITY
Adapted from idea supplied Gary Luck Greendale Wisconsin.
PASS BOOK
MATERIALS NEEDED Pile maths textbooks Stop Watch TI-83 with Viewscreen attachment Overhead Projector
PROCEDURE TI-83 show scatterplot data list both lists cleared initially. entire pile books passed from student increasing number additional students. Time from picking books first student placing books desk last student recorded. number students time taken entered each stage scatterplot displayed.
line best calculated plotted. (Enter LinReg(ax+b) L1,L2,Y1)
discussion follows purpose equation line. predictor discussed. THINGS CONSIDER points perfectly linear? What happens location point someone drops books? What predicted time students pass books? prediction true.)
What significance slope? y-intercept?
ACTIVITY
Adapted from original material supplied Bruce MacMillan AC2E Institutes
EQUATIONS STRAIGHT LINES
INSTRUCTIONS: Make "friendly window" your TI-83 calculator setting this WINDOW
each equation below: Draw graph. TRACE move point line. Write down coordinates column headed (x1,y1). Press draw vertical line. TRACE move another point line. Write down coordinates column headed (x2,y2). Press draw horizontal line. Calculate vertical distance y2-y1. Calculate horizontal distance x2-x1. Calculate gradient using equation:
Gradient
Vertical distance Horizontal distance
Trace find Y-intercept.
Equation (x1,y1) (x2,y2) y2-y1 x2-x1 Gradient intercept
.5x+4 -3x+5 (3/4)x 3x-2 (2/3)x+1
ACTIVITY
development David Aitken from Stewards School Harlow, Essex, Activity (Three ways square) Unit (Squares Square Roots) Calculator Maths Number, Graham Galpin (ISBN 0-9533137-1-9) page Autumn edition Time.
SOME SPECIAL SQUARES
PROCEDURE first stage investigate squares 625, 90625. There clear pattern identified. Given that 7109376 shares this property, pattern used find square 7109376 (the returns 5.054322711E13 this).
Number Square Square Number Number
90625 7109376
discussion should ensue order speculate possible connections between "Square Number" "Number". THINGS CONSIDER With younger groups, perhaps "Square" might split into "head" "tail" (equal given "number") investigation focused relationship between "head" "tail". With older pupils, intention might focused relationship: "Square Number" "Number"
ACTIVITY
submission Kirk Meyer ticalc.org Barrie Galpin produce following activities. Ticalc.org site www.ticalc.org. Please note, however, that Texas Instruments does endorse this site affiliated way.
GRAPHING PIECEWISE FUNCTIONS
graph piecewise functions graphics calculator. First should know functions TEST menu work. entering Home screen. until understand what going When calculator tests condition, returns true false. multiply condition expression, that expression will appear only condition true. With that mind, here draw graph piecewise function: Suppose have y=x-1 less than y=x+1 greater than equal could enter this 1)(X 1)(X Each piece function simply multiplied corresponding condition pieces added together. What think this piecewise function will produce? 2)(X have many pieces want with this method will still treated function. Exercise your viewing window shown here TI-83. entering appropriate piecewise functions screen produce graphs below.
ACTIVITY
PIECEWISE GRAPHING further example
designer fairground ride decides that carriage will move backwards forwards along straight track. decides that there will three phases defined according following model, where represents displacement from start metres time seconds. Phase Phase Phase -X2+20X-50 (X-20)2
Enter these three functions your calculator plot their graphs. Check that functions three phases "fit" together. many seconds will each phase motion last? Enter your calculator Deselect plot piecewise function defined designer's colleague suggests that this graph resembles sine curve sets check this follows. enters list values from steps 0.2. this yourself entering Home Screen seq(X,X,0,20,0.2)->L1. Next, corresponding values calculated stored this entering Y4(L1)->L2. Finally sine-regression calculation carried entering SinReg Plot graph close this
designer notices that regression coefficients (shown here) very close /10, therefore enters 25sin(x/10-/2)+25. Plot graph close this piecewise function. Finally designer notices that original equations final equation contain multiples wonders whether this coincidence. Investigate changing generalise what have found?

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