2010 Term 2 SabbaticalHwa Chong Institution

MATHEMATICS COOKIES

WHAT YOU WILL BE DOING IN THIS COURSE…

Excel Applets

Graphic Calculator

GeoGebra

OUTLINE OF COURSE

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Webpage or presentation

Excel Applet

2 exercisesGroup Project Applet

GC Design

2 exercisesGroup Project

Theme: YOG

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A FEW POINTERS…• Thumbdrives cannot be used in the computer lab

• Please save your work and upload it in the Internet (e.g. your email, Google Docs or Acrobat.com)

• GeoGebra (you may need to use it later) has a new free web version at http://www.geogebra.org/webstart/geogebra.html

2010 Term 2 Sabbatical – Mathematics Cookies

Hwa Chong Institution

MS EXCEL

WHAT YOU WILL LEARNCreate table

of values

Create charts

Use of Excel formulas

Use of control buttons

Useful tips

Create interactive

applets

WHY EXCEL?

Easy to use

Easily available

WHAT CAN BE DONE WITH EXCEL?

LAB DEMONSTRATION 1Do-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 > 2nd 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?

• Improve the design of the applet.• Remove the gridlines.• Hide the range of x and y values.• How can I set negative values for m and c?• How to add in rectangles with text which will appear only on hovering the

mouse above?

MY SAMPLE

LAB EXERCISE 1Improve on your Excel Applet: 8.30am – 10am

• Overview:• Set up display

• 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 up table of values:

• X: Set range of x from -10 to 10

• 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)

• 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

• How to change colour of scrollbar?

BREAK TIME!10am-11am

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?

Use the IF loop: =IF (A = B, “value if true”, “value if false”)

LAB EXERCISE 2Do it yourself!

• Overview:• Set up display

• Ax+By1=C

• Dx+Ey2=F

• Set x values (-20 to 20)

• Set y values

• y1=C/B-Ax/B

• y2=F/E-Dx/E

• (Press F4 to change cell name to dollar sign)

LAB EXERCISE 2Do it yourself!

• Determine intersecting, parallel or same lines

• Test for parallel lines:

• A=D

• Test for same lines:

• c1=c2

• If not parallel lines, they are intersecting lines.

• Calculate intersecting point

• Solve the 2 SLE for x & y

• X=(FB-CE)/(DB-AE) or vice versa• Y=(C-Ax)/B

• Point’s 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)

END OF DAY 1Reflections

Day 2

GROUP APPLET PROJECT DESIGN

AGENDA FOR TODAY• (Re)visiting Excel tricks & shortcuts

• Group Applet Project Design Briefing

• Deciding on Applet

• Seat in your own groups

• Designing Applet

• GeoGebra (if time permits)

RECAP• Create a 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)

• Set values and link scrollbars to cells

• Right-click on scrollbar > Format Control > Control

• Draw a graph

• Insert > Chart > XY Scatter > [Choose options]

• For Excel 2010: Insert > [Choose Graph] (Then edit the graph by right-clicking on components)

RECAP• Autofill

• Drag the plus-sign cursor at the bottom-right corner of the cell

• Resize columns and rows of worksheet

• Double-click on the double-arrowed line cursor between 2 rows or columns

• Comments

• Insert > Comment

• For Excel 2007 & 2010: Review > New Comment

RECAP• The IF Statement

• =IF (argument, “statement if true”, “statement if false”)

• IF Loop (red part is if 1st argument is true):

• =IF(1st argument, IF(2nd argument, “statement if 2nd argument is true”, “statement if 2nd argument is false”), “statement if 1st argument is false)

• Change cell name to dollar-sign cell name by pressing [F4]• A more professional way to hide cells

• Right click on selected cells > Format Cells > Protection > Hidden

GROUP APPLET PROJECT DESIGN• Choose a topic that can be taught with the help of an excel applet

Possible topics:

Matrices

Pythagoras Theorem

Trigonometry

Coordinate Geometry/Circles

Geometrical Transformations

Quadratic/Cubic Equations

REQUIREMENTS

Make use of formulae

Must be user-controlled• use of

scrollbars/key in/spinner etc

Use of charts

Aesthetic effect

SAMPLES

• Quadratic Equations• Solving Cubic Equations via Depression

• Solving Simultaneous Equations• 1 quadratic & 1 linear

• Trigonometrical Functions• Sine Functions• Cosine Functions

• Tangent Functions• Combined Functions with absolute value

SAMPLES

• Drawing a line from 2 points• Calculating gradient, y-intercept and equation

• Reflection of lines & triangles

• Drawing a triangle from 3 points• Calculating gradient, y-intercept and equation of

lines formed

• Calculating area of triangle formed

FOR MORE IDEAS…• Wolfram Mathematica Demonstrations Project

• http://demonstrations.wolfram.com/

• Is not Excel but may give you some ideas of what to do (if you want to do something more challenging)

• The Excel Applet samples have been compiled into a view-only file available for download at http://2010mathcookies.wikispaces.com/

• Please do not plagiarise…

APPENDIX: EXCEL SHORTCUTS• Merge rows & columns

• For Excel 2007 & 2010: Home > Alignment > Merge & Center

• View full screen

• View > Full Screen (no keyboard shortcut)

• 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

• Drag it down to see 2 views

• Can be used, e.g. to keep the first row (header) always intact on top

APPENDIX: EXCEL SHORTCUTS• Lock workbooks, worksheets & cells

• Lock cells

• Right click on cell > Format Cell

• For Excel 2007 & 2010: Home > Cells > Format > Format Cell (or Lock Cell)

• Protect sheets

• For Excel 2007 & 2010: Review > Changes > Protect Sheet

• Protect entire Excel workbook

• For Excel 2007 & 2010: Review > Changes > Protect Workbook

GROUP DISCUSSION TOPIC FOR APPLET APPLET DESIGN

8.30am – 9am

DESIGN OF APPLET9am – 10am

BREAK TIME!10am – 11am

DESIGN OF APPLET (CONTINUED)(GOING ON TO GEOGEBRA IF TIME PERMITS)

11am – 1pm

END OF DAY 2

Reflections (remember to copy your reflections into the WikiSpaces group workspace for reference for days 1 & 2 when you do your reflections for your final product)