2010 Term 3 Sabbatical Hwa Chong Institution MATHEMATICS COOKIES

WHAT YOU WILL BE DOING IN THIS COURSE Excel Applets GeoGebra Graphic Calculator

OUTLINE OF COURSE MORE DETAILED SCHEDULE AT SABBATICAL WEBSITE Day 1 - Excel Learning how to create applets using MS Excel 2 Individual Practices Day 2 - Excel 1 Group Projects GeoGebra (if time permits) Day 3 - GC Introduction to Graphic Calculators 2 Individual Practices 2 Group Practices Day 4 GC 1 Group GC Design Preparing presentation (website) Day 5 Presentation Finishing up presentation Presentation

END PRODUCT

THEME FOR THIS SABBATICAL Festivals & Cultures around the World

END PRODUCT (WEBSITE) LINK IS BROKEN.

END PRODUCT (POWERPOINT)

WIKISPACES WEBSITE Sabbatical Website Link: Sabbatical Website Link: http://hsmathcookies.wiki.hci.edu.sg/ http://hsmathcookies.wiki.hci.edu.sg/ Please take 15 minutes to form into your groups and create a WikiSpaces site. Please take 15 minutes to form into your groups and create a WikiSpaces site. Take this time to know each other as well Take this time to know each other as well Include details of your groupmates (Name, Class and Register No.) Include details of your groupmates (Name, Class and Register No.) Invite us (see sabbatical website) Invite us (see sabbatical website) This site will serve as your presentation tool this Friday This site will serve as your presentation tool this Friday It also serves as the submission site for your documents It also serves as the submission site for your documents Therefore, it is important that you add us as viewers Therefore, it is important that you add us as viewers

Create the following pages: Create the following pages: Excel Individual Exercise 1 Excel Individual Exercise 1 Excel Individual Exercise 2 Excel Individual Exercise 2 Excel Group Project 1 Excel Group Project 1 Excel Group Project 2 Excel Group Project 2 GC Individual Exercise 1 GC Individual Exercise 1 No need to submit files No need to submit files GC Individual Exercise 2 GC Individual Exercise 2 GC Group Exercise 1 GC Group Exercise 1 GC Group Exercise 2 GC Group Exercise 2 GC Group Project Design GC Group Project Design Reflections Reflections In each page, upload your files (for individual exercises all must submit) and give a brief description of the exercises requirements. In each page, upload your files (for individual exercises all must submit) and give a brief description of the exercises requirements. Name your files as: [Group No.]_[Name]_[Class & Register No.]_[Name of work according to the names on left] Invite us as viewers: [email protected] [email protected] WIKISPACES WEBSITE

More than just spreadsheets MS EXCEL

WHAT YOU WILL LEARN Create table of values Create charts Use of Excel formulas Use of control buttons Useful tips Create interactive applets

WHY EXCEL?

LAB DEMONSTRATION 1 Do-It-Together

LAB DEMONSTRATION 1 Think about how to go about doing this excel applet What components does it have?

STEP 1 Set up the display and resize cells Think: How to prevent cells from being selected after typing the plus sign +? How to resize cells quickly and effectively?

STEP 2 Create a scrollbar for the values m and c View > Toolbars > Forms > Scrollbar Draw under m and c (i.e. cells B1 and D1)

STEP 3 Set values and link the scrollbars to the cells Scrollbar [Right-click] > Format Control > Control Set Min=0, Max=10 and Increment=1 Cell link to cell you right-clicked so that the value will appear in the cell. Do the same for the other scrollbar.

STEP 4A Set up table of values Set range of x from -10 to 10 Think: Is there a faster method to set the x values?

STEP 4B For the values of y, it should be y=mx+c For cell B6, it will be $B$1*A6 + $E$1 ($B$1 is m, A6 in this case is x and c is E1) Think: What is the difference between naming $B$1 and B1? Is there a faster method to set the y values?

STEP 5 Draw the graph using Chart Wizard Insert > Chart > XY Scatter > 2 nd Subtype > Next > Select Data Range > Next > Finish

QUESTIONS TO PONDER Think of these questions when you improve on it for lab exercise 1 The y-axis range keeps changing when you scroll the m values. How can I fix that? Create another line y=x for comparison with the first line How can I set negative values for m and c? Improve the design of the applet. Remove the gridlines. Hide the range of x and y values. How to add in rectangles with text which will appear only on hovering the mouse above?

EXCEL INDIVIDUAL EXERCISE 1 Improve on your Excel Applet Name your files in this format: [Group No.]_[Name]_[Class & Register No.]_Excel Individual Exercise 1

EXCEL INDIVIDUAL EXERCISE 1 Improve on your Excel Applet Overview: Overview: Set up display Set up display Create a scrollbar for the values m and c: View > Toolbars > Forms > Scrollbar (For Excel 2007: Developer > Insert) Create a scrollbar for the values m and c: View > Toolbars > Forms > Scrollbar (For Excel 2007: Developer > Insert) Set values and link the scrollbars to the cells: Scrollbar [Right-click] > Format Control > Control Set values and link the scrollbars to the cells: Scrollbar [Right-click] > Format Control > Control Set up table of values: Set up table of values: X: Set range of x from -10 to 10 X: Set range of x from -10 to 10 Y (=mx+c): e.g. Cell B6: $B$1*A6 + $E$1 Y (=mx+c): e.g. Cell B6: $B$1*A6 + $E$1 Draw the graph: Insert > Chart > XY Scatter > 2nd Subtype > Next > Select Data Range > Next > Finish (For Excel 2007: Insert > Scatter > 2nd Subtype > Next > Select Data Range > Next > Finish) Draw the graph: Insert > Chart > XY Scatter > 2nd Subtype > Next > Select Data Range > Next > Finish (For Excel 2007: Insert > Scatter > 2nd Subtype > Next > Select Data Range > Next > Finish) Text: How does the graph of the function y = Ax + B compare with the graph of the function y = x as we change the values of the variables A and B? Text: How does the graph of the function y = Ax + B compare with the graph of the function y = x as we change the values of the variables A and B?

STEP 1 - TIPS Prevent cells from being selected after typing the plus sign + Press Enter after typing into the cell Resize cells quickly and effectively Double click between the typed cell column and the one to the right when you see the resize cursor

STEP 4A - TIPS Is there a faster method to set the x values? Instead of keying into individual cells, you can key in -10, -9, -8 and drag the + autofill cursor when hovered over the bottom-right corner of the cell. Excel will auto fill the cells according to the pattern. Stop dragging once you reach 10.

STEP 4B - TIPS What is the difference between naming $B$1 and B1? If you name the cell as (e.g.) =B1, it may autofill =B2, =B3 and so on. Typing $B$1 will not change its value when auto-filling.

AOT Fix x & y axis: Right click on axis > Range Insert new x=y line: Format Chart > New Series Set negative values for m & c Additional: Rectangles with text which will appear only on hovering the mouse above comments

BREAK TIME!

Ex. 1 Submission & Presentation Rubrics BEFORE WE START EXERCISE 2

LAB DEMONSTRATION 2

WHAT IS THIS APPLET? Allows user to solve simultaneous equations Requirements: User can input values for A, B, C, D, E and F. (Scrollbars not needed) Applet can display the types of lines (parallel, intersecting, same line etc) If intersecting lines, applet can display the point of intersection

Questions to Ponder: How to input the formulas for types of lines and points of intersection? Questions to Ponder: How to input the formulas for types of lines and points of intersection?

Questions to Ponder: How to input the formulas for types of lines and points of intersection? Use the IF loop : =IF (A = B, value if true, value if false) Questions to Ponder: How to input the formulas for types of lines and points of intersection? Use the IF loop : =IF (A = B, value if true, value if false)

EXCEL INDIVIDUAL EXERCISE 2 Do it yourself! Overview: Overview: Set up display Set up display Ax+By 1 =C Ax+By 1 =C Dx+Ey 2 =F Dx+Ey 2 =F Set x values (-20 to 20) Set x values (-20 to 20) Set y values Set y values y 1 =C/B-Ax/B y 1 =C/B-Ax/B y 2 =F/E-Dx/E y 2 =F/E-Dx/E (Press F4 to change cell name to dollar sign) (Press F4 to change cell name to dollar sign) You will need 2 tables (2 equations) You will need 2 tables (2 equations)

EXCEL INDIVIDUAL EXERCISE 2 Do it yourself! Determine intersecting, parallel or same lines Determine intersecting, parallel or same lines Calculate intersecting point Calculate intersecting point Solve the 2 SLE for x & y Solve the 2 SLE for x & y Points coordinates are x & y values (remember to specify no. of sol. for parallel & same lines) Points coordinates are x & y values (remember to specify no. of sol. for parallel & same lines) If you are done, think about how to test for perpendicular lines (will not go through though) If you are done, think about how to test for perpendicular lines (will not go through though)

EXCEL INDIVIDUAL EXERCISE 2 Do it yourself! Name your files in this format: [Group No.]_[Name]_[Class & Register No.]_Excel Individual Exercise 2

EXCEL INDIVIDUAL EXERCISE 2 Do it yourself! Determine intersecting, parallel or same lines Determine intersecting, parallel or same lines Test for parallel lines: A=D Test for parallel lines: A=D Test for same lines: c 1 =c 2 Test for same lines: c 1 =c 2 If not parallel lines, they are intersecting lines. If not parallel lines, they are intersecting lines. Calculate intersecting point Calculate intersecting point Solve the 2 SLE for x & y Solve the 2 SLE for x & y X=(FB-CE)/(DB-AE) or vice versa X=(FB-CE)/(DB-AE) or vice versa Y=(C-Ax)/B Y=(C-Ax)/B Points coordinates are x & y values (remember to specify no. of sol. for parallel & same lines) Points coordinates are x & y values (remember to specify no. of sol. for parallel & same lines) If you are done, think about how to test for perpendicular lines (will not go through though) If you are done, think about how to test for perpendicular lines (will not go through though)

EXCEL INDIVIDUAL EXERCISE 2 Do it yourself! Lines Intersecting Test: Not parallel lines Perpendicular Test: Product of gradients = -1 Parallel Test: Gradients are equal Same Test: y-intercepts are equal

EXCEL INDIVIDUAL EXERCISE 2 Do it yourself! Let m 1 & m 2 be gradients and c1 & c2 be y-intercepts of their respective lines =IF(AND(m 1 =m 2,c 1 =c 2 ), Same Lines, IF(m 1 =m 2,Parallel Lines, IF (m 1 *m 2 =-1, Perpendicular Lines, Intersecting Lines))

END OF DAY 1 Reflections

Day 2 GROUP APPLET PROJECT DESIGN

WHATS IN STORE (Re)visiting Excel tricks & shortcuts Group Projects 1 & 2 GeoGebra All have submitted Individual Ex. 2. Thanks for your coorperation.

RECAP Create a scrollbar Create a scrollbar View > Toolbars > Forms > Scrollbar View > Toolbars > Forms > Scrollbar For Excel 2007 & 2010: Start Logo > Options > Customise > Developer > Controls > Insert (Excel 2007 & 2010 forms are Developer Forms, not the toolbar control forms) For Excel 2007 & 2010: Start Logo > Options > Customise > Developer > Controls > Insert (Excel 2007 & 2010 forms are Developer Forms, not the toolbar control forms) Set values and link scrollbars to cells Set values and link scrollbars to cells Right-click on scrollbar > Format Control > Control Right-click on scrollbar > Format Control > Control Draw a graph Draw a graph Insert > Chart > XY Scatter > [Choose options] Insert > Chart > XY Scatter > [Choose options] For Excel 2010: Insert > [Choose Graph] (Then edit the graph by right- clicking on components) For Excel 2010: Insert > [Choose Graph] (Then edit the graph by right- clicking on components)

RECAP Autofill Autofill Drag the plus-sign cursor at the bottom-right corner of the cell Drag the plus-sign cursor at the bottom-right corner of the cell Resize columns and rows of worksheet Resize columns and rows of worksheet Double-click on the double-arrowed line cursor between 2 rows or columns Double-click on the double-arrowed line cursor between 2 rows or columns Comments Comments Insert > Comment Insert > Comment For Excel 2007 & 2010: Review > New Comment For Excel 2007 & 2010: Review > New Comment

RECAP The IF Statement The IF Statement =IF (argument, statement if true, statement if false) =IF (argument, statement if true, statement if false) IF Loop (red part is if 1 st argument is true): IF Loop (red part is if 1 st argument is true): =IF(1 st argument, IF(2 nd argument, statement if 2 nd argument is true, statement if 2 nd argument is false), statement if 1 st argument is false) =IF(1 st argument, IF(2 nd argument, statement if 2 nd argument is true, statement if 2 nd argument is false), statement if 1 st argument is false) Change cell name to dollar-sign cell name by pressing [F4] Change cell name to dollar-sign cell name by pressing [F4]

EXTRAS: EXCEL SHORTCUTS Delete any unnecessary blank worksheets Delete any unnecessary blank worksheets Merge rows & columns Merge rows & columns For Excel 2007 & 2010: Home > Alignment > Merge & Center For Excel 2007 & 2010: Home > Alignment > Merge & Center View full screen View full screen View > Full Screen (no keyboard shortcut) View > Full Screen (no keyboard shortcut) Split Excel workbook view into two (works in Word also) Split Excel workbook view into two (works in Word also) Grab the rectangle on the top-right corner between the formula bar & column labels, on top of the scroll bar on the right Grab the rectangle on the top-right corner between the formula bar & column labels, on top of the scroll bar on the right Drag it down to see 2 views Drag it down to see 2 views Can be used, e.g. to keep the first row (header) always intact on top Can be used, e.g. to keep the first row (header) always intact on top Superscript/subscript: Right click on text > Format Cells > Effects Superscript/subscript: Right click on text > Format Cells > Effects

EXTRAS: EXCEL SHORTCUTS Lock workbooks, worksheets & cells Lock workbooks, worksheets & cells Lock cells Lock cells Right click on cell > Format Cell Right click on cell > Format Cell For Excel 2007 & 2010: Home > Cells > Format > Format Cell (or Lock Cell) For Excel 2007 & 2010: Home > Cells > Format > Format Cell (or Lock Cell) Protect sheets Protect sheets Right-click on sheet tab > Protect Sheet Right-click on sheet tab > Protect Sheet For Excel 2007 & 2010: Review > Changes > Protect Sheet For Excel 2007 & 2010: Review > Changes > Protect Sheet Protect entire Excel workbook Protect entire Excel workbook For Excel 2007 & 2010: Review > Changes > Protect Workbook For Excel 2007 & 2010: Review > Changes > Protect Workbook Remember to unlock cells to be typed in & scrollbars to be used by user Remember to unlock cells to be typed in & scrollbars to be used by user

EXTRAS: EXCEL SHORTCUTS Conditional Formatting Conditional Formatting Format > Conditional Formatting Format > Conditional Formatting For Excel 2007 & 2010: Home > Style > Conditional Formatting For Excel 2007 & 2010: Home > Style > Conditional Formatting Limited functionality in Excel 2003 Limited functionality in Excel 2003 Self-Study: (A new function) Self-Study: (A new function) You will only know in Group Project 2 You will only know in Group Project 2

GROUP WORK 1 Create an excel applet about Linear Law

LINEAR LAW Expressing the y-axis & x-axis such that you get a linear graph, which is easier to interpret i.e. such that instead of y = mx + c, it is Y = mX + c; the y axis is Y, which can contain x and/or y; the X axis can also contain x and/or y; m is the gradient and c is the y intercept, and m and c CANNOT contain variables x or y.

LINEAR LAW e.g. Plot xy = mx 2 + c sub Y = xy & X = x 2 therefore Y = mX + c if you have the values of m & c (gradient & y-intercept respectively), you can graph Y against X (i.e. xy against x 2 )

LINEAR LAW Ideas Four input boxes to input: X in terms of x and/or y Y in terms of x and/or y m (gradient) c (y-intercept) The result should be a straight line of gradient m and y-intercept c Now you just need to follow Ex. 1 and re-label the X and Y axis

LINEAR LAW Tips for better scores When you have an applet on a subject, you should describe the applet (what is it about, what is the subject and how to use it?) Include information on Linear Law Create the original graph May not need to be Excel based, but itll be a bonus to graph it on Excel There are many forms of graphs Try to account for as many types as possible (see Demo)

GROUP WORK 1 SAMPLE

REQUIREMENTS Make use of formulae Must be user- controlled use of scrollbars/ke y in/spinner etcuse of scrollbars/ke y in/spinner etc Use of charts Aesthetic effect and information

EXCEL GROUP PROJECT 1 8.40am 10am Name your files in this format: [Group No.]_[Name]_[Class & Register No.]_Excel Group Project 1 Submission Deadline: 10am | 12pm Inform us when you are done.

BREAK TIME! 10am 11am

BEFORE WE START ON PROJECT 2 Comments: See Admin Sheet Continue improving your Excel Project and upload it onto your WikiSpaces site before Fridays presentation

GROUP WORK 2 Theme: Cultures Around the World - Ancient Calendars You are given the following information on the months of the Ancient Roman calendar: Your task is to allow a user to input in a date in the modern calendar, and you would be able to output the date converted to the Ancient Roman calendar input method is up to you Assumptions 1 st day of Winter Month is January 1 You have 2 minutes to discuss how you may want to do it

ROMAN CALENDAR Outline of steps (aka. hints) Calculate no. of days the date is from January 1 (1 st day of the year) Algorithm: If month is January, number of days from January 1 is the date If month is February, number of days from January is the date plus 31 days (from January) and so on If you use IF loops, there will be 12 nested IF loops (i.e. IF loops within IF loops) Think about it: Is there a faster way to do this?

ROMAN CALENDAR Outline of steps (aka. hints) Calculate no. of days the date is from January 1 (1 st day of the year) Algorithm: If month is January, number of days from January 1 is the date If month is February, number of days from January is the date plus 31 days (from January) and so on... If you use IF loops, there will be 12 nested IF loops (i.e. IF loops within IF loops) Think about it: Is there a faster way to do this? Hint: Search for LOOKUP function in Microsoft Excel or Microsoft Help Website

ROMAN CALENDAR Outline of steps (aka. hints) Use LOOKUP function to calculate month Algorithm: If the no. of days is 61 and

Document 1 st page Screenshot of GC Design as an 8xi file Right click on Virtual Graphic Calculator > Export LCD, Black & White only Write up(s) of GC Design 2 nd page Equations (in table format) Part that eqn. represents | Eqn. | Domain 8xi File Open TI Connect in lab computer, open exported image and save as an *.8xi file Zip the document and 8xi file into a Compressed (zip) Folder

Try it on your own Set 2 domains Either use circle formula (make y the subject) or use 2 quadratic curves Trigo Function Use a large gradient (i.e. m>94) Use a large gradient (i.e. m>94)

EquationDescription 1.0.25x 2 5 /{x-4 and x4}Bottom of the boat 2.-1/{x-4 and x4}Top of the boat 3.99x/{x>0.21and x0 and x5}Side of the mast 6.cos(2x+2)-5Waves 7.(0.9 2 -(x-7) 2 )+7.5Top of sun 8.-(0.9 2 -(x-7) 2 )+7.5Bottom of sun

Document 1 st page Screenshot of GC Design Right click on Virtual Graphic Calculator > Export LCD, Black & White only Write up(s) of GC Design 2 nd page Equations (in table format) Part that eqn. represents | Eqn. | Domain 8xi File Open TI Connect in lab computer, open exported image and save as an *.8xi file Zip the document and 8xi file into a Compressed (zip) Folder

You will receive cut pieces of GC designs. Recreate these designs as alike as possible in your Graphic Calculators. You may draw in GeoGebra to obtain the equations. Submission Deadline: 8am tomorrow Each group send 1 representative to collect 1 of each type: Group Ex. 1 Patterns Group Ex. 2 - Pictures

Return all GCs GC Individual Ex. 2, Group Ex. 1 & 2 Deadline: Tomorrow 8am Invite teachers to your WikiSpaces site Homework !? Submission formats See Whiteboard

Log in to Username: lab2 Password: hwachong If you bring laptops download Virtual TI GC & TI Connect from Sabbatical Website

Document 1 st page Screenshot of GC Design Right click on Virtual Graphic Calculator > Export LCD, Black & White only Write up(s) of GC Design 2 nd page Equations (in table format) Part that eqn. represents | Eqn. | Domain 8xi File Open TI Connect in lab computer, open exported image and save as an *.8xi file Zip the document and 8xi file into a Compressed (zip) Folder

You will be at a major disadvantage tomorrow if you dont do it

Send 1 representative to draw lots to choose a country among the below now ChinaIndia South Korea Japan ThailandRussiaBrazilGermany South Africa MexicoMalaysiaVietnam

As homework, split up the workload among your groups and search for: Information about the chosen country Picture and information about its flag A festival unique to a country, some pictures and information about it You will need this for tomorrows group project. More details will be given tomorrow.

2010 Term 3 Sabbatical Hwa Chong Institution

Comments on GC Group Ex. Extras: Polar Coordinates in GC Extras: Shading in GC Group Project GC Design Design requirements & tips Prepare Presentation Presentation rubrics Presentation tips

Refer to Sabbatical Website

Or How to draw a batman logo or a butterfly with a single equation in GC?

A 2-dimensional coordinate system Each point on a plane is determined by: a distance from a fixed point (r) an angle from a fixed direction ( )

pole polar axis radial coordinate / radius angular coordinate / polar angle / azimuth

To set your graphic calculator to Polar Coordinates Mode > POL > [Enter]

You have now changed Cartesian coordinates to Polar coordinates. Press and you will see that y is no longer the subject but r. Explore the following curves using the GC

More at the sabbatical website

Though it would only be in black and white.

Settings 2 nd + PRGM (DRAW) 7: Shade(Y ?,Y ? ) Change all curly brackets to normal brackets Shade(lower function, upper function, left domain, right domain, pattern, patres) Patterns 1 Vertical | 2 Horizontal | 3 - Negative diagonal |4 Positive diagonal | Resolution/Patres 1 to 8 defines spacing between pixels 1 shade every (1) pixel ; 8 shade every 8 pixels

The extremely hard way to draw vertical lines

Stat Plot Large gradient: Y 1 =m large x+c Limits and dividing by 0 For graphing x=n Y 1 number large (x-n) x = n x = n + 0y x 5 = 0y y = (x-5)/0 y (x-n) number large (x-n)

Graphic Calculators Design Theme: Festivals around the World Load video first

Festivals around the World

China [2]India South Korea Japan Thailand [3] Russia [4]BrazilGermany South Africa [1] Mexico [6]Malaysia Vietnam [5]

[DONE] Send 1 representative to draw a country. [DONE] [SHOULD BE DONE] In your groups, search for: [SHOULD BE DONE] Information about the chosen country Picture and information about its flag A festival unique to a country, some pictures and information about it Create 2 GC designs (with write-ups given) on: The countrys flag The festival chosen

Overall Appearance Skills Task Fulfilment Planning Originality Well-executed Support the theme of design Variety of equations used e.g. linear, cubic, trigo. etc. Axes removed Correct windows settings (picture should be centered and large) Use of drawing tools to enhance graphic e.g. shade, text GC Design + Equations in required format Description of country, its flag and the chosen festival

If possible, use different types of shading to indicate different colours When giving a description of the flag, indicate which parts are coloured by which colour

Remember that when you chose your countries yesterday some had easy flags and some had difficult ones? Those with easy flags (Thailand, Russia and Vietnam) have to do another specified flag on top of the flags of their countries For other groups we have optional second flags If doing 2 flags, descriptions for both must be present The next few slides will prevail

South Africa flag (required) Navy Variant of South Africa flag (optional) Shrink your first flag and add 4 lines

Flag of China (required) Variant flag of China (optional) Get equation of big star of first flag and add 2 lines

Flag of Thailand (required) Flag of General in Thai Army (required) Minimise the no. of lines used Think triangles

Flag of Russia (required) Flag of Sakha Republic of the Russian Federation (required)

Flag of Vietnam (required) (Defunct) Flag of South Vietnm (required)

Flag of Mexico (required) Flag of province of Chiapas (optional) Approximate drawing of the picture in the middle rectangle will suffice

Refer to whiteboard and submission template

Do your draft on GeoGebra, then input the equations into the graphic calculator However, some modifications may need to be made If you are done with your design(s), please start on your website presentation Submit your draft by 10am just before recess

y=mx+c m=gradient, c=y-intercept vertical lines: use horizontal lines with very steep gradients (y=ax, a>94) Lines y=ax 2 +bx+c a determines how open the parabola should be and in which direction b affects turning point c affects y-intercept y=a(x-h)2+k derive from completing the square h & k are x & y coordinates of vertex point Quadratic

y=px 3 +qx 2 +rx+c Cubic (x-a) 2 +(y-b) 2 =r 2 r = circle radius the centres coordinates are (a,b) please make y the subject of this formula first hint: you will get 2 formulas Circle

x 2 /a 2 + y 2 /b 2 = 1 if a>b majors along x-axis a = x-intercept, b = y-intercept if b>a majors along y-axis a = y-intercept, b = x-intercept Ellipse y = a sin(bx+)+c y = a cos(bx+ )+c y = a tan(bx+ )+c a affects amplitude b affects period/frequency c affects y-intercept/height moves the graph horizontally Trigonometry

1 st Draft Deadline: 10am 2 nd Draft Deadline: 12 noon Final Submission deadline: 8.59pm today Stick to the submission format

Term 3 Sabbatical | Hwa Chong Institution Presentation Date: 27/8/10 (Friday) Yes, there are rubrics for this.

Webpage Excel Applet 2 exercises Linear Eqn. S.L.E. Group Project Applets Linear Law Ancient Roman Calendar GC Design 2 individual exercises McDonalds Logo Boat 2 group exercises Group Project Theme: Festivals Reflections

MS Excel Applet GC Design Presentation Overall Appearance Planning Task Fulfillment Skills Navigation Difficulty of skills used Overall Appearance Planning Originality Skills Variety of equations used Use of drawing tools to enhance graphic (e.g. shade, text) Organisation Subject Knowledge Eye Contact Presentation Mechanics Elocution Voice projection Body language

You will be presenting on the lab computer Windows XP MS Office 2003 Internet Explorer 8 You have 10 minutes of presentation time + 5 minutes Q&A Please stick to time limits In Q&A, participants, student trainers and teachers-in- charge can ask questions We will also ask for certain inputs for your Excel projects to see if they are accurate

Circle & Curves Coordinate Geometry

Matrices Polynomials

Trigonometric Functions

Yes, we are here to help.

There is a PowerPoint animation we found Although it is on creating good PowerPoints, we hope you can also get some tips on having good presentations in overall. Taken from Office 2010 Beta Duarte

Treat AudienceKing Treat your Audience as King Spread Ideas Spread Ideas and Move People Help See Saying Help them See what you are Saying Practice Design Practice Design not DecorationCultivate Healthy Relationships

Meet their needs and not just yours It is easy for the presenter to have all the things he has to say on the website But it will be too wordy Reduce word count for audiences benefit and organise website Slightly increase font size and zoom in your website whenever needed

Presentation should have: Reflections Meaning Inspiration Focus should be on the presenter not website

Audience 50% visual, 50% verbal Balance text with images and media (e.g. videos) to enhance content Interactivity Demonstrate purpose and use of Project Excel Applets effectively

Standardised Design Colour Scheme Fonts: Serif v.s. Sans-serif (Demo next slide) Template (Manage Wiki > Templates) No Decoration Design should not vary too much Do not use weird colour schemes e.g. Blue with red can cause epileptic seizures: Never use it!

Break dependence on your website It is your presentation tool, not your script Interactivity with Audience Eye contact and oral presentation techniques

Tips on Presentation & Rubrics will be uploaded to the sabbatical WikiSpaces site. Make it more creative through the use of media such as YouTube videos to enhance your website content. You can embed an external website/PowerPoint into the WikiSpaces site if needed. Please feel free approach one of us for help. Release reflections to groups

12.15pm 1pm I will be leaving at 12.20pm

The Last Day may just be the most exciting one

Finish up Presentation Activity Group Presentations Sabbatical Reflections

Prepare your website for presentation 8 am-9am Remember the judging rubrics So, why is this sabbatical called Mathematics Cookies? As we all know, cookies in the IT field refers to files websites store in your computer which contains information of your computer for websites. What about cookies? You will find out later

9am-9.30am 30 minutes

Drawing lots for presentation sequence Presentation Order: 4, 2, 1, 5, 3, 6

11.15am to 11.45am 30 minutes

Group activity

Hidden all over a workbook below are cells with red numbers in the series 1, 2, 3,... etc. The workbook is zipped up and password-protected. Find the password on one of 2 identical post-its placed around the computer lab. Do not remove the post-its. The workbook is password protected. Find the password by typing the following equations into the GC and finding the number shown in the output graph: Window Setting: Xmin=0, Xmax=10, Ymin=0, Ymax=10 y= -0.0129x+5.41 / {0.88x and x3.98} y=1.48x-0.5304 / {2.68x and x3.98} y=0.778x+1.35 / {1.24x and x2.68} y=1.38x-2.695 / {3.62x and x4.46} y= -0.013x+2.35 / {3.62x and x5.16} y=4.45x-20.682 / {4.78x and x5.4} y= -0.13x+3 / {5.16x and x6.7} y=13.667x-100 / {7.42x and x7.68}

Note the letters on the column of the cell the number is at. Below the number is the column and row of the cell containing the next number in the series. Go to the next number and note the letters on the column the it is at. Repeat the process until you see the word "END" to the right of the number. You should end up with a chain of letters. Join them up and find out what they refer to. Create a GeoGebra file containing the retrieved text and demonstrating what they refer to. Upload your file here: http://hsmathcookies.wiki.hci.edu.sg/Activityhttp://hsmathcookies.wiki.hci.edu.sg/Activity (under "Upload") When you uploaded your file, inform us immediately Good luck Link to Excel file: http://hsmathcookies.wiki.hci.edu.sg/Activityhttp://hsmathcookies.wiki.hci.edu.sg/Activity

Guess the prize

The prize for the fastest group is: Something

Dont go off yet! Download zip file 1 st Password Prompt: At post-its in computer lab 2 nd Password Prompt: Plot functions into graphic calculator Retrieve column names of indicated cells in Excel workbook Form text and find what it refers to Create a GeoGebra file with the text and demonstrating what it means

Password for zip file: 50 Password for Excel workbook: 741

If equilateral triangles are constructed on the sides of any triangle, the centers of those equilateral triangles form an equilateral triangle. Do you know what this refers to?

If equilateral triangles are constructed on the sides of any triangle, the centers of those equilateral triangles form an equilateral triangle. Napoleon's Theorem

1 st Group: 2 2 nd Group: 3 3 rd Group: 1

All good things have an ending Remember to do your sabbatical feedback (compulsory) and your reflections before you leave the computer lab. A copy of this 200-slide PowerPoint will be uploaded to the WikiSpaces site. All PowerPoints will be removed by this Sunday. Goodbye.

Documents

2010 Term 3 Sabbatical Hwa Chong Institution MATHEMATICS COOKIES