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## Full-Text Articles in Education

Law Of Cosines Using Geometer`S Sketchpad, Sandy Mcgreevy

#### Law Of Cosines Using Geometer`S Sketchpad, Sandy Mcgreevy

*Lesson Plans*

By the end of the lab, students should be able to verify the Law of Cosines using actual field calculations off a GPS and modeling using Geometer’s sketch pad.

Segments And Angles Using Geometer’S Sketch Pad, Ijeoma B. Okafor

#### Segments And Angles Using Geometer’S Sketch Pad, Ijeoma B. Okafor

*Lesson Plans*

Students will find the length of a segment and the measure of an angle using Geometers Sketchpad.

Solving Systems Of Equations, Annette Pennella, Claud Brown, Megan Harris, Rachel Viel

#### Solving Systems Of Equations, Annette Pennella, Claud Brown, Megan Harris, Rachel Viel

*Lesson Plans*

Objectives: *Students will be able to translate word problems into algebraic equations. *Students will be able to solve systems of equations graphically.

Exploring The Area Of Rectangles And Their Applications, Brian Cheyne, Bonnie Bush, Dave Iacchetta, Pablo Lopez, Bruce Peachey

#### Exploring The Area Of Rectangles And Their Applications, Brian Cheyne, Bonnie Bush, Dave Iacchetta, Pablo Lopez, Bruce Peachey

*Lesson Plans*

We will explain how to find the area of rectangles using the TI 84 tutorial. We will use “Area Explorer” from Project Interactivate to demonstrate how to find the area of different rectangular shapes. A Pre-designed house plan from GSP will be given to the students (to be loaded in each computer) to simulate a floor renewal. Students will calculate different areas from the house floor plan and collect the data.

Walking To Win, Larry Bedgood, Sara Walter, Sandy Zalewski, Kathyrn Zuroski

#### Walking To Win, Larry Bedgood, Sara Walter, Sandy Zalewski, Kathyrn Zuroski

*Lesson Plans*

Objectives: 1. Students will be able to use the Stella Model and Geometer Sketchpad to create a graph and a table for the situation purposed by the teacher. 2. Students will demonstrate ability to work in a group; communicating and being respectful of others. 3. Students will identify the distance required for a close race given specific conditions and provide evidence to support their answer. 4. Students will make observations about the features of the graphs and their meaning 5. Students will use the table and graph to answer questions 6. Students will identify how results vary by using the ...

Angles And Sketchpad, John Walker

#### Angles And Sketchpad, John Walker

*Lesson Plans*

Objectives: Students will be able to • Construct, measure and manipulate two-dimensional objects using The Geometer`s Sketchpad. • Classify and construct regular polygons based upon information regarding angle and/or side measure. • Measure a pentagon, then a hexagon, and determine without performing the construction, how many degrees are in the interior of a 21-sided figure. • Identify similar figures and use their properties.

Circumcenter Of Triangle Using Gsp, Maria Huot

#### Circumcenter Of Triangle Using Gsp, Maria Huot

*Lesson Plans*

Geometric constructions are essential in the production of Technical Drawings which are precise, abstract representations of things. This lesson is part of a set of lessons in which students involved in a CAD based Technical Drawing course, would use both CAD and GSP skills to produce and revise mathematical concepts when producing geometrical constructions. The CAD base drawings are real world applications of the geometrical concepts learned.

Gsp To Contruct A Polygon, Megan Bonnacci

#### Gsp To Contruct A Polygon, Megan Bonnacci

*Lesson Plans*

Objectives: Students will correctly identify various polygons and angle measurements. Students will use GSP to construct a polygon. Students will demonstrate appropriate behavior in computer lab.

Properties Of Triangles Using Geometer's Sketchpad, Sarah Heigl

#### Properties Of Triangles Using Geometer's Sketchpad, Sarah Heigl

*Lesson Plans*

Objectives:

Students will use Geometers Sketchpad to create sets of similar triangles. Students will be able to give a definition of similar triangles as well as examples.

Using Gsp To Study Transformations Of A Sine Curve, Rose Kossow

#### Using Gsp To Study Transformations Of A Sine Curve, Rose Kossow

*Lesson Plans*

Students will use a GSP model to learn how variables in the general form affect the graph of a sine function.

Exploring Angles, Renee Gambino

#### Exploring Angles, Renee Gambino

*Lesson Plans*

The students will investigate the sum of the interior angles of various triangles and conjecture and prove the following theorem: • The sum of the interior angles in a triangle is 180° . The extension activities include conjecturing and proving the following theorems: The sum of the interior angles in a quadrilateral is 360° . The sum of the measures of the interior angles in a convex n-gon is 180°(n-2).

Create Graphs To Represent The Equation Of A Straight Line., Alexis Richardson

#### Create Graphs To Represent The Equation Of A Straight Line., Alexis Richardson

*Lesson Plans*

Students will learn how to graph y=mx+b equations. EQ: How do you graph y = mx+b equations?

Exploring Properties Of Parallelograms Using Geometer’S Sketchpad, Wilson Burgos

#### Exploring Properties Of Parallelograms Using Geometer’S Sketchpad, Wilson Burgos

*Lesson Plans*

Construct a parallelogram by using only its definition; Calculate the measures of angles and segments; Use their findings to make and justify conjectures regarding relationships between angles, sides, and diagonals.

Parallel Lines Cut By A Transversal, Carrie Seitz

#### Parallel Lines Cut By A Transversal, Carrie Seitz

*Lesson Plans*

Students will Determine angle pair relationships when given two parallel lines cut by a transversal

Finding The Area Of An Irregular Shape, Michelle Dale

#### Finding The Area Of An Irregular Shape, Michelle Dale

*Lesson Plans*

Plot the given points. Connect line segments between the points to make an irregular shape (house). Break the irregular shape (house) into smaller shapes that have known area formulas (triangle and rectangle). Calculate the area by hand using known area formulas (triangle and rectangle) then check their work. Apply their knowledge of area and add together the areas of the smaller shapes (triangle and rectangle) to find the total area of the irregular shape (house). Describe in their own words the process of finding the area of an irregular shape and when this process might be used in everyday life.

Using Gsp To Create An Isosceles Triangle., Elizabeth Watkins

#### Using Gsp To Create An Isosceles Triangle., Elizabeth Watkins

*Lesson Plans*

Discovering, applying and using the properties of isosceles triangles

Compute Areas Of Both Regular And Non-Regular Polygons Through The Use Of Geometer’S Sketchpad., Evan Brauer

#### Compute Areas Of Both Regular And Non-Regular Polygons Through The Use Of Geometer’S Sketchpad., Evan Brauer

*Lesson Plans*

Students use mathematical modeling/ multiple representation to provide a means of presenting, interpreting, communicating, and connecting mathematical information and relationships Students use measurement in both metric and English measure to provide a major link between the abstractions of mathematics and the real world in order to describe and compare objects and data.

Cell Phone Rates Comparison Using Stella, Gsp, And Ti, Helen Fox, John Picarella, Beth Hall, Carrie Seitz, Alexis Richardson, Juan Betancourt

#### Cell Phone Rates Comparison Using Stella, Gsp, And Ti, Helen Fox, John Picarella, Beth Hall, Carrie Seitz, Alexis Richardson, Juan Betancourt

*Lesson Plans*

Students will understand the existence of relationships between variables and they can be represented in multiple ways for understanding and analyzing. Recognizing and using the connection between tables and graphs in the solving real world problems.

Reflections, Translations, And Rotations, Sandy Zalewski

#### Reflections, Translations, And Rotations, Sandy Zalewski

*Lesson Plans*

Students will be able to describe and explain what happens to an object after a reflection, translation and a rotation Students will be able to perform a rotation and a reflection on a figure

Gsp Circle Geometry Lessons 1-3, Marc Coffie

#### Gsp Circle Geometry Lessons 1-3, Marc Coffie

*Lesson Plans*

Today you will be using Geometer’s SketchPad (GSP), software in which you can create various geometric figures such as points, lines, rays, segments, circles, and arcs, and then interact with them –change their size, measure lengths, angles, etc. Follow the directions below to complete the first project.

Results Of Rolling A Set Of Dice, Sarah Jacka

#### Results Of Rolling A Set Of Dice, Sarah Jacka

*Lesson Plans*

We will, as a class, investigate the results of rolling a set of dice. We would like to learn about the outcome when the pair are rolled and their sum is found.

Many students initially predicted that when dice are rolled, each sum from 2-12 is equally likely to be rolled. They assume that since each side of the die has a 1 in 6 chance of being rolled, it would make sense that each sum would have an equal chance at appearing.

We will use many tables, charts and graphs to investigate the students’ claim that each sum is ...

Polygons Within Our World Using Geometer`S Sketchpad, Thaddeus Kciuk, John Palo, Rose Kossow

#### Polygons Within Our World Using Geometer`S Sketchpad, Thaddeus Kciuk, John Palo, Rose Kossow

*Lesson Plans*

Students learned to construct polygons using Geometers Sketchpad. Using these constructions, students were able to infer the sum of the exterior angles of any polygon, the formula to find the sum of the interior angles of a polygon and the measure to each angle of any regular polygon. Students continued to explore polygons, this time considering their area with a constant perimeter restriction and how the area of a regular polygon relates to the area of a triangle inside the regular polygon which uses the center as a vertex.

Using The Difference In Daylight To Investigate Linear Relationships, Amy Lynn Cifelli

#### Using The Difference In Daylight To Investigate Linear Relationships, Amy Lynn Cifelli

*Lesson Plans*

My group of students was a mix of four ninth grade students enrolled in our Algebra I course. For our project I wanted to look at what was meant by linear and to see if they could tell the difference between linear and nonlinear relationships. I emphasized that there had to be a constant rate of change in order for a relationship to be linear. The relationship we looked at was the difference in amount of sunlight between Juneau Alaska and Albion New York. We started by looking at just the month of January. The students had to put the ...

Animating Slope And Y-Intercept, Jessica Phillips

#### Animating Slope And Y-Intercept, Jessica Phillips

*Lesson Plans*

In 8^{th} grade math, we investigate graphing lines from equations for the first time. Students learn about the xy coordinate plane, the table of values, the slope and the x and y intercepts. They begin to understand y = mx + b, the general equation for a line. As a teacher, I have encountered many problems while teaching this content without the benefits of technology. It’s my goal to teach the effects of changing the slope and the y-intercept. With traditional methods, we create a table of values and draw a graph by hand, which consumes a lot of instructional ...

When Does The Area Of A Rectangle Equal The Area Of A Circle?, Douglas Brown

#### When Does The Area Of A Rectangle Equal The Area Of A Circle?, Douglas Brown

*Lesson Plans*

Use modeling software to explore the relationship between the circumference of a circle and its area: Given a circle of a particular size, what would the dimensions of a rectangle have to be for it to have the same area as the circle?

Sunrise Over New York Using Geometer's Sketchpad, Kevin Westrich

#### Sunrise Over New York Using Geometer's Sketchpad, Kevin Westrich

*Lesson Plans*

Students were presented with a table of data that shows times of sunrise over New York City at weekly intervals during 2003, starting on January 1st. Students created a scatter plot of the data and determined what type of functions could be used to model the data.

Bullseye Models Using Excel And Geometer's Sketchpad, Heather Hoad

#### Bullseye Models Using Excel And Geometer's Sketchpad, Heather Hoad

*Lesson Plans*

Throughout this problem students explored the concepts of probability, percentage, and graphic representations of data. Students began by discussing the variables involved in playing a game of darts including: player skill level, strength, accuracy, coordination, gravity, etc. They then made hypothesized the number of darts out of 100 attempts that would land in each of the point value areas. During the remainder of the project, the class tested their hypothesis through a real life dart board model and an online dartboard simulation model. Students used a real-life magnetic dartboard to collectively gather data on 100 darts thrown and an online ...

A New Angle On Looking At Angles, Michael Baskin, Karen Samis, Jessica Phillips, Christopher Sheffer

#### A New Angle On Looking At Angles, Michael Baskin, Karen Samis, Jessica Phillips, Christopher Sheffer

*Lesson Plans*

Demonstrates measurements of angles, and relations between related angles.

Understanding Mass, Volume And Density, Thomas Demond, Jessica Phillips, Christopher Sheffer

#### Understanding Mass, Volume And Density, Thomas Demond, Jessica Phillips, Christopher Sheffer

*Lesson Plans*

Students will use mathematics and modeling to understand the fundamentals of mass

Simulate Eratosthenes Calculations Of Earth, Kim Meek, Sean Metz

#### Simulate Eratosthenes Calculations Of Earth, Kim Meek, Sean Metz

*Lesson Plans*

Students use learning technologies (Geometer’s Sketch pad) to facilitate solving a problem. Specifically, they use two models. One that shows a visual representation of Eratosthenes process and a test his equation for all values of theta.