Jamie Back, Math Teacher Cincinnati Country Day School
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1 Tablets & Digital Ink in the Math Classroom Tuesday, November 4, :13 PM Tablets & Digital Ink in the Math Classroom Jamie Back, Math Teacher Cincinnati Country Day School ISACS Conference November 6, 2014 Digital Ink in Math Original Page 1
2 Agenda Wednesday, August 13, :00 PM OneNote Overview Creating Content My Favorite (Math) Software Interactive Activities Flipping the Classroom Sharing Pages & Notebooks Digital Ink in Math Original Page 2
3 OneNote Overview Sunday, November 2, :55 AM OneNote Overview Creating Content My Favorite (Math) Software Interactive Activities Flipping the Classroom Sharing Pages & Notebooks Digital Ink in Math Original Page 3
4 Notebook Organization Sunday, November 2, :10 PM Notebook: Training Section Group Section Pages & SubPages Digital Ink in Math Original Page 4
5 Handwriting, Typing, Writing-to-Text Thursday, January 30, :59 AM Types of Pens fix-vs-4x4 Digital Ink in Math Original Page 5
6 Mix Writing & Images Sunday, November 2, :40 PM Digital Ink in Math Original Page 6
7 To-Do Lists Sunday, November 2, :12 PM Check this box when finished Check this box too Digital Ink in Math Original Page 7
8 Equations & Drawing Sunday, November 2, :31 PM Menu: Insert > Equation Menu: Draw Digital Ink in Math Original Page 8
9 Sharing Notebook Content Sunday, November 2, :33 PM Send pages as attachment (.one file) Export pages and post on website (export as.one,.pdf,.docx, more) Share Notebook via link (warning: EDIT CAPABILITY!!!) Share via Office 365 & OneDrive (Control Read/Edit access)!!!office 365 Warning!!! Cannot move notebooks from hard drive to OneDrive Digital Ink in Math Original Page 9
10 Creating Content Sunday, September 22, :19 PM OneNote Overview Creating Content My Favorite (Math) Software Interactive Activities Flipping the Classroom Sharing Pages & Notebooks Digital Ink in Math Original Page 10
11 Title Page Sunday, November 2, :43 PM Chapter 2 Functions and Their Graphs 2.1 Functions 2.2 The Graph of a Function 2.3 Properties of Functions 2.4 Library of Functions; Piecewise-Defined Functions Graphing Techniques; Transformations Mathematical Models; Building Functions Digital Ink in Math Original Page 11
12 Creating SubPages Sunday, November 2, :48 PM Digital Ink in Math Original Page 12
13 Zoom In/Out & Full Page View Tuesday, October 1, :42 PM 26) a) b) c) Is the point on the graph of f? If x = 0, what is? What point is on the graph of f? If, what is x? What point(s) are on the graph of f? d) What is the domain of f? e) List the x-intercepts, if any, of the graph of f. a) List the y-intercept, if there is one, of the graph of f. Digital Ink in Math Original Page 13
14 Snip/Paste Graphs Sunday, September 15, :05 PM Consider the function f(x), graphed below. Use the graph to evaluate: Digital Ink in Math Original Page 14
15 Snip Tool: Cool Trick Sunday, November 2, :07 PM Cool Trick: Removing Text or Parts of Images using a Custom Pen Cool Trick: Annotate Snip Digital Ink in Math Original Page 15
16 Thursday, November 6, :28 AM Digital Ink in Math Original Page 16
17 Take Picture of Materials Wednesday, September 25, :11 PM 1) Find Digital Ink in Math Original Page 17
18 Insert Documents Wednesday, August 13, :58 PM geometric proof ove... Warning: File Size!!! Digital Ink in Math Original Page 18
19 Print Documents to OneNote Sunday, November 2, :57 AM Word, Excel, PowerPoint, PDF. Digital Ink in Math Original Page 19
20 Set "Picture" as Background Monday, October 27, :33 AM Digital Ink in Math Original Page 20
21 Change Page Backgrounds Tuesday, November 4, :20 PM Digital Ink in Math Original Page 21
22 Create Drag & Drop Activities Monday, October 14, :33 AM Unscramble the Statements and Reasons at right. Drag and drop them in the correct order in the proof below. Theorem: If M is the midpoint of, then and Proof: Statements Reasons Substitution Property Definition of Midpoint Given Substitution Property Division Property Digital Ink in Math Original Page 22
23 Look at this Thursday, November 6, :37 AM Digital Ink in Math Original Page 23
24 Split Screen Activities Tuesday, November 4, :22 PM Click on this link: Follow the image tags, in order, and answer the questions below. Digital Ink in Math Original Page 24
25 Insert Space Tool Sunday, November 2, :04 PM Digital Ink in Math Original Page 25
26 Digital Ink in Math Original Page 26
27 Translate Picture to Text Wednesday, August 13, :33 PM Celebrating a boatload of NEW Apps AND GAMES firetv amazon Digital Ink in Math Original Page 27
28 My Favorite (Math) Software Sunday, November 2, :44 PM OneNote Overview Creating Content My Favorite (Math) Software Interactive Activities Flipping the Classroom Sharing Pages & Notebooks Digital Ink in Math Original Page 28
29 My Favorite (Math) Software Sunday, November 2, :01 PM FluidMath (subscription, interactive graphing): Maple or Mathematica (subscription): OR Geometer's Sketchpad (subscription): Screencast-O-Matic (subscription or free, make videos): Winplot (free, graphing and more): Wolframalpha.com (free): Wabbitemu TI Emulator (free): Autodesk 123d Design (free, 3D Modeling): Digital Ink in Math Original Page 29
30 FluidMath -- Students Create the Problem Monday, October 14, :37 AM Use FluidMath to create a rational function that has a vertical asymptote at x = -2 and has no holes. Write the equation and snip/paste a picture of the graph at right. Is continuous at x = -2? To answer this question, apply the definition of continuity at x = -2 1) Is defined? Use one-sided limits to show why/why not. 3) Digital Ink in Math Original Page 30
31 Wabbitemu Sunday, November 2, :39 PM Digital Ink in Math Original Page 31
32 Sketchpad -- Investigate & Snip Monday, November 4, :31 AM Digital Ink in Math Original Page 32
33 Winplot: Explicit vs. Implicit Thursday, February 6, :01 AM Use the Equa > Explicit menu to graph Is this a function? Why or why not? What shape is the graph? Snip the graph into your notes. Use the One > Slider menu to show the tangent line to at x = 1 (click to select the "Tangents" checkbox). What is the slope of the tangent line? Close this window. Click on the function in the Inventory box. Click on Derive. What just happened? Use the Equa > Implicit menu to graph Is this a function? Why or why not? What form is this equation in? Can you put this equation in the other form? What shape is the graph? Snip the graph into your notes. One > Slider does not work for this equation. Can you draw a tangent line to the function at x = 1? What information do you need that you DID NOT NEED for the first graph? Digital Ink in Math Original Page 33
34 Interactive Activities Sunday, November 2, :11 PM OneNote Overview Creating Content My Favorite (Math) Software Interactive Activities Flipping the Classroom Students create the content! Sharing Pages & Notebooks Digital Ink in Math Original Page 34
35 Insert Audio or Video Wednesday, August 13, :59 PM Position-Time Graphs Related Rates Insert Audio or... Cross-Sections Video recording started: 10:05 AM Thursday, November 6, 2014 Isometric Views Warning: File Size!!! Digital Ink in Math Original Page 35
36 Moving Man App (PhET) Sunday, November 2, :09 PM (Download app) Digital Ink in Math Original Page 36
37 Mix & Match Software: The Red Bird, Part 1 Sunday, February 2, :39 PM Using the Google Chrome browser, go to Play the game called "Poached Eggs" (you don't have to login to play this game). Level 1 is fine. Have your snipping tool ready -- you have to be quick with this part. Shoot the bird from his slingshot. After the bird lands, snip a picture of the bird's path. Open Geometer's Sketchpad. Paste the snipped image into Sketchpad. In Sketchpad: a. Turn on the coordinates (Graph > Define Coordinate System) b. Click on the origin to move the grid so that the bottom of the slingshot is at the origin. c. Click on the Marker Tool. Use your stylus to trace the path of the bird. Make sure your drawn path is selected. Use the menu Number > Define Function From Drawing to ask Sketchpad to fit an equation to the position graph. Sketchpad WILL NOT give you the exact equation - it just shows you a text box called "f(x):drawing". What does this function represent? What are generic units of the x-axis and y-axis? Right-click on the text box "f(x): Drawing" and choose Properties. Click on the Function tab. Move the slider to Max Smoothing. Right click on "f(x): Drawing" again. Choose "Define Derivative Function". Sketchpad WILL NOT give you the exact equation. Right click on the derivative function's text box. Click Plot Function. The function will not be smooth. a. What does this function represent? b. Why does the bird have a positive velocity at t = 0? a. Approximately where does the velocity of the bird equal zero? How do you know? c. How would you describe the position of the bird where the velocity equals zero? d. Why does the velocity equation have negative values? What is happening to the bird when velocity is negative? Digital Ink in Math Original Page 37
38 The Red Bird, Part 2 Sunday, February 2, :23 PM 1. Go back to your image in Sketchpad. You can delete the line you drew. 2. Use the Point tool to create 8-10 points along the bird's path. Be sure to create a point where x = 0 and a point where the path ends. What are the generic units of the x-value and y-value of each coordinate? a. Use the Arrow Tool to select all of the coordinates -- click on the coordinates one at a time to select them. Click on Measure > Coordinates to get a list of ordered pairs of each point. 3. Open Excel. Split your screen so that Excel is on one side and Sketchpad is on the other. a. Enter the x-values of each coordinate in one column and the y-values in a second column. b. Highlight these cells and create a scatterplot. c. Right click the data points and choose Add Trendline. Select Polynomial and type order "2". Click the checkbox to "Display Equation on Chart". d. Write your equation here. What does this equation represent? 7. Find the bird's velocity equation. Write it here: 8. Find the velocity of the bird at: t = 1 t = 7 t = 14 What does the velocity at each point tell you about how the bird is moving? 9. Find the bird's acceleration equation. Write it here: 10. What does the equation tell you about the bird's acceleration? 11. Graph the bird's position, velocity, and acceleration in Winplot. Use the menu View > View to set a viewing window (Check the "Set Corners" box). Snip the graph into your notes. a. How are the shapes of the position, velocity, and acceleration graphs related? b. When the bird's height is at its maximum, what is the bird's velocity? 1) How could you find the answer to the question above by looking at the relationship between the graph of velocity and position? 2) Use Winplot to find the time at which the bird's height is a maximum. Remember that using One > Slider and checking the "Tangents" box will give you a tangent line to move. What kind of tangent line does the graph of position have when the bird's height is a maximum? c. What is the bird's velocity when it hits the pigs (or at the last point on your function)? Digital Ink in Math Original Page 38
39 The Yellow Bird Sunday, February 2, :25 PM The yellow bird's trajectory is a parabola, until you touch the screen. When you touch (or click) the screen, the yellow bird quickly accelerates towards the target, following the tangent line to the parabola. On the graph above, the bird was accelerated at the "puff of smoke". Draw the tangent line to the parabola at the "puff of smoke". Does it follow the path shown? Below is the picture of the trajectory of a yellow bird that was not accelerated. 1) 2) 3) Would it be possible to accelerate the bird anywhere along this path so that he hits the target at the red X? Why or why not? Which point along the bird's path should you accelerate him in order to land close to the pig on the right? Mark the path on the picture. In a different color, sketch a parabolic trajectory with a tangent line that would land the bird at the red x when he is accelerated. Digital Ink in Math Original Page 39
40 Digital Ink in Math Original Page 40
41 Flipping the Classroom Sunday, November 2, :45 PM OneNote Overview Creating Content My Favorite (Math) Software Interactive Activities Flipping the Classroom Sharing Pages & Notebooks Digital Ink in Math Original Page 41
42 What I Do Sunday, November 2, :08 PM Create Video (OneNote & Screencast-O-Matic) & Online Quiz (Moodle) Post Blank Notes, Video, Quiz, Problem Solutions (Moodle) Digital Ink in Math Original Page 42
43 Students Watch & Take Notes on Video (split screen) Students Take Moodle Quiz Students Work Problems in Groups in Class (from blank notes) Digital Ink in Math Original Page 43
44 Sharing Pages from Notebooks Wednesday, August 13, :00 PM OneNote Overview Creating Content My Favorite (Math) Software Interactive Activities Flipping the Classroom Sharing Pages & Notebooks Digital Ink in Math Original Page 44
45 Some Ways to Share Sunday, November 2, :46 PM Send pages as attachment (.one file) Export pages and post on website (export as.one,.pdf,.docx, more) Share Notebook via link (warning: EDIT CAPABILITY!!!) Share via Office 365 & OneDrive (Control Read/Edit access) Digital Ink in Math Original Page 45
46 What I do Sunday, November 2, :11 PM Digital Ink in Math Original Page 46
47 CCDS Shared Notebooks Sunday, November 2, :33 PM Digital Ink in Math Original Page 47
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