Geometer's Sketchpad Instructions

8/3/2019 Geometer's Sketchpad Instructions

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The Toolbar

Arrow – use to select and deselect objectsPoint – click to add a point

Circle – draw a circle

Line Segment – Click and hold to obtain a ray or a line

Polygon Tool – Use to draw a polygon

Text – Add text to the screen or label points

Marker – use to draw on screen; add equivalency lines

Information Tool – use to find out information about images

Custom Tool – Used to create and find tools and shapes thatyou can use repeatedly



The Menus

1. Filea. New Sketchb. Openc. Sketchpad Lesson Linkd. Savee. Save As

f. Document Optionsi. Add Pages

g. Page Setuph. Print Previewi. Print j. Quit

2. Edita. Undob. Redoc. Cutd. Copye. Pastef. Clearg. Action Buttons

i. Hide/Showii. Animationiii. Movementiv. Presentationv. Soundvi. Link

vii. Scroll

h. Select Alli. Select Parents j. Select Childrenk. Crop picture to polygonl. Split/Mergem. Edit Definitionn. Propertieso. Preferences

3. Displaya. Point styleb. Line stylec. Colord. Texte. Hide objectsf. Show all hiddeng. Show labelsh. Labeli. Trace

j. Erase tracesk. Animatel. Increase speedm. Decrease speedn. Stop animationo. Show text palettep. Show motion controllerq. Hide toolbox



4. Construct

a. Point on objectb. Midpointc. Intersection

d. Segmente. Rayf. Lineg. Parallel lineh. Perpendicular line

i. Angle bisector j. Circle by center and pointk. Circle by center and radius

l. Arc on circlem. Arc through 3 pointsn. Interioro. Locus

5. Transforma. Mark centerb. Mark mirrorc. Mark angled. Mark ratioe. Mark vectorf. Mark distanceg. Translate

h. Rotatei. Dilate j. Reflectk. Iteratel. Define custom transformationm. Edit custom transformation

6. Measurea. Lengthb. Distancec. Perimeterd. Circumferencee. Anglef. Areag. Arc angleh. Arc lengthi. Radius

j. Ratiok. Value of pointl. Coordinatesm. Abscissca (x)n. Ordinate (y)o. Coordinate distancep. Slopeq. Equation

7. Numbera. New parameterb. Calculatec. Tabulated. Add table data

e. Remove table dataf. New functiong. Define derivative functionh. Define function from drawing



8. Graph

a. Define coordinate systemb. Mark coordinate systemc. Grid form

i. Polarii. Squareiii. Rectangulariv. Trigonometric axis

d. Hide grid

e. Dotted gridf. Snap pointsg. Plot value

h. Plot pointsi. Plot table data j. Plot new functionk. Plot parametic curve



Constructing Triangles

Scalene Isosceles Equilateral

1. Draw 3 line segments. 1. Draw one circle.2. Draw 2 line segments from

center of circle to outsideedge.

3. Create 3 rd line segment tofinish triangle.

4.

Hide the circle by selectingthe circle and thenchoosing Display HideCircle.

1. Draw one circle.2. Start drawing the second

circle at the point out thecircumference of the circleand finish at the center.

3. Create a point where the

two circles intersect.4. Create the 3 lines.5. Hide the circles.

Measuring Lengths and Angles

Lengths Angles1. It’s recommended that you label your points

first.2. Click on the line segment(s) you would like to

measure.3. Measure Length(s)

1. Either click on the line segment, point and linesegment that make up the angle OR click andhold outside of the angle (by the point) anddrag into the angle so that it selects all three

2. Measure Angle



Constructing Quadrilateral/Rectangles/Squares

Quadrilateral Rectangle Square

1. Join 4 line segmentstogether.

2. Use the polygon tool tofinish it off.

1. Create one line segment.2. Select the line segment and

one end point.3. Construct Perpendicular line4. Place a point somewhere on

the perpendicular line and joinwith a line segment . You’llsee the perpendicular linechange to a dotted line.

5.

Select the original linesegment and the point you didnot use in step 2.

6. Construct Perpendicular line7. Add a point at the

intersection.8. Add line segments to the 2

sides.9. Use the polygon tool to finish

it off.10. Hide the perpendicular lines

by selecting them all andselect display Hideperpendicular lines.

1. Start by creating the twosides of an isoscelestriangle.

2. Finish off as you would arectangle.

Saving your Shape as a Custom Tool

How to Save it How to Use it Later1. Select your shape by using the arrow to draw a box

around the entire shape. Make sure it looks exactlylike you want it saved.

2. Press and hold the custom tools and choose Create

new tool .

3. Name the tool and press ok.

1. Press and hold the custom tools andselect your tool.



Using Measurements to make Calculations

Calculator “Hot Text” 1. Have your drawing ready and the

measurements on the screen.2. Number Calculate3. Enter your formula, clicking on the appropriate

measurement on your screen when needed.

1. Have your drawing ready and themeasurements on the screen.

2. Click the A tool.3. Draw a box on your screen for your statement.4. Type your statement, clicking on the

appropriate measurement or calculation onyour screen when needed.

Graphing an Equation

Typing in a New Equation Where to Find4. Graph Plot new function5. Type in equation.

π Under Values

Setting Up Variables

In Regular Mode While in Calculator1. Number New Parameter2. Set the variable letter and starting value.

1. Values New Parameter2. Set the variable letter and starting

value.



C

AC = 5.21 cm

AB = 2.33 cm A C

B

AB

AC · 40 20 = –2.13

AC = 5.21 cm

AB = 2.33 cm A C

B

Creating a Slider

Focus: Creating a slider to manipulate the equation y=mx+b

Instructions: We’ll be starting with the variable m .

1. Add a graph to your page.a. Graph Define Coordinate System

2. Draw the slider.a. Create a line segment.b. Add a point somewhere in the middle.c. Label points as A, B, C

3. We need to create a formula that will determine how far away your point is from the endpoints. Let’s make some calculations.

a. Determine your maximum and minimum points. This will be the largest and smallestnumber you wish to access on your graph.

i. For this example, we’ll use -20 and 20.b. Determine the distance between those two points.

i. 20 - -20 = 40 so the two end points are 40 units apartc. Determine the halfway point.

i. 40 ÷ 2. Pretty obvious unless you’re not using opposite values.

Note: We’ll be comparing the distance of AB and AC as a ratio. For example, if we know that AB is ½ thedistance of AC and we have a minimum and maximum points of -20 and 20, we know that the matchingvalue would be 0. But how does this translate best into a formula?

4. Let’s find the information we need to determine the ratio of AB to AC.a. Select the points AB.b. Measure Distancec. Repeat for AC.

5. Create a formula using this information to calculate the actual distance of point B.a. Number Calculate

i. Click on1. AB2. ÷3. AC4. *

5. 406. – 7. 20

AB * 40 will find the relative distanceAC on the “number line”.

Subtracting 20 will “shift” the numberline from 0 40 into -20 20.

If you are using a different min/maxvalue, you must subtract HALF of thedistance between your min/max.

Ex. -10 50. Multiply by 60 andsubtract 30.



6. Repeat these steps for the variable b.

7. Create the equation that will actually do the graphing.a. Graph Plot New Functionb. Click on

i. The calculation for m ii. *iii. Xiv. +v. The calculation for b vi. OK

Make it Look Pretty: 8. Hide everything that is not needed for students to manipulate.

a. All End Pointsb. All Labels

c. All calculations, equations and measurements

9. I would considera. moving the sliders together.b. adding a text label to indicate the variable that matches each slider.c. Adding a textbox that displays the equation y=mx+b where the values m and b are

inserted and change as you move the slider.



Point of IntersectionBetween Two Equations

1. Create a graph with a grid.a. Graph Define Coordinate System

2. Draw two line segments and label the end points3. Place a point on the intersection between the two line segments.4. Label the point.5. Determine its coordinates

a. Click on the pointb. Measure Coordinates

MidPoint of a Line Segment

1. Create a graph with a grid.a. Graph Define Coordinate System.b. Draw a line segment.c. Select the line segment and choose

i. Construct Midpoint



How would you demonstrate the following theorem’s Using Geometer’s Sketchpad

Images taken from: http://www.geom.uiuc.edu/~dwiggins/mainpage.html



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Geometer's Sketchpad Instructions