logging in or signing up Gr 5 MG 1-1 tri area aSGuest16364 Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINT lite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 59 Category: Entertainment License: All Rights Reserved Like it (0) Dislike it (0) Added: April 08, 2009 This Presentation is Public Favorites: 0 Presentation Description No description available. Comments Posting comment... Premium member Presentation Transcript Slide 1: Connections In Areas: Rectangles & Triangles By Renee Hill Stephanie Lessman Linda Stein TTTC Math & Technology Summer 2001 Today’s Goal: Determine the formula for the area of a triangle. : Today’s Goal: Determine the formula for the area of a triangle. California Standard – Grade Five Measurement and Geometry 1.1 (partial) Derive and use the formula for the area of a triangle by comparing it with the formula for the area of a rectangle. : What are the properties of a rectangle? Properties of a Rectangle : Properties of a Rectangle There are four right angles. Properties of a Rectangle : Properties of a Rectangle There are two sets of parallel sides opposite one another. Area of Rectangle : Area of Rectangle Identify the area of the rectangle. This is the area of the rectangle. Calculating the Area : Calculating the Area Determine the area of this rectangle if the length is 8 units and the width is 3 units. 3 units 8 units The area of this rectangle is 24 square units. Writing the Equation and the Formula : Writing the Equation and the Formula 3 units 8 units The area of this rectangle is 24 square units. width length times equals area 8 units x 3 units = 24 square units Equation: Formula: The Rectangle-Triangle Connection : The Rectangle-Triangle Connection How can you divide this rectangle into two equal triangles? The Solution : The Solution There are two solutions. The Triangle-Rectangle Connection : The Triangle-Rectangle Connection What is the area of the triangle A and triangle B combined? Triangle A Triangle B The Solution : The Solution The combination of Triangle A and Triangle B has an area equal to the rectangle. Triangle A Triangle B The Triangle Disconnection : The Triangle Disconnection Is it possible to calculate the area of one of these triangles? Yes! Half-Size It : Half-Size It 3 units 8 units Note that Triangle A is half of the area of the rectangle. Where We Started : Where We Started 3 units 8 units Remember that the area of the rectangle was 24 square units? Writing the Equation : Writing the Equation 3 units 8 units The rectangle area equation was: The triangle area equation is half the rectangle: ( ) 12 Equation vs. Formula : Equation vs. Formula The triangle area equation is: ( ) 12 The triangle area formula uses the labels in place of the numbers. The Equation – Formula Connection : The Equation – Formula Connection 8 units x 3 units = square units The triangle area equation is: ( ) 12 length x width = area The triangle area formula is: ( ) Use What You Know : Use What You Know Use your knowledge of rectangles and triangles to determine the area of more complex figures. l x w (l x w) What’s Next? : What’s Next? In our next lessons, we will explore these questions: and . . . What about circles? What is the formula for the area of a parallelogram? Does this work for all types of triangles? You do not have the permission to view this presentation. In order to view it, please contact the author of the presentation.
Gr 5 MG 1-1 tri area aSGuest16364 Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINT lite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 59 Category: Entertainment License: All Rights Reserved Like it (0) Dislike it (0) Added: April 08, 2009 This Presentation is Public Favorites: 0 Presentation Description No description available. Comments Posting comment... Premium member Presentation Transcript Slide 1: Connections In Areas: Rectangles & Triangles By Renee Hill Stephanie Lessman Linda Stein TTTC Math & Technology Summer 2001 Today’s Goal: Determine the formula for the area of a triangle. : Today’s Goal: Determine the formula for the area of a triangle. California Standard – Grade Five Measurement and Geometry 1.1 (partial) Derive and use the formula for the area of a triangle by comparing it with the formula for the area of a rectangle. : What are the properties of a rectangle? Properties of a Rectangle : Properties of a Rectangle There are four right angles. Properties of a Rectangle : Properties of a Rectangle There are two sets of parallel sides opposite one another. Area of Rectangle : Area of Rectangle Identify the area of the rectangle. This is the area of the rectangle. Calculating the Area : Calculating the Area Determine the area of this rectangle if the length is 8 units and the width is 3 units. 3 units 8 units The area of this rectangle is 24 square units. Writing the Equation and the Formula : Writing the Equation and the Formula 3 units 8 units The area of this rectangle is 24 square units. width length times equals area 8 units x 3 units = 24 square units Equation: Formula: The Rectangle-Triangle Connection : The Rectangle-Triangle Connection How can you divide this rectangle into two equal triangles? The Solution : The Solution There are two solutions. The Triangle-Rectangle Connection : The Triangle-Rectangle Connection What is the area of the triangle A and triangle B combined? Triangle A Triangle B The Solution : The Solution The combination of Triangle A and Triangle B has an area equal to the rectangle. Triangle A Triangle B The Triangle Disconnection : The Triangle Disconnection Is it possible to calculate the area of one of these triangles? Yes! Half-Size It : Half-Size It 3 units 8 units Note that Triangle A is half of the area of the rectangle. Where We Started : Where We Started 3 units 8 units Remember that the area of the rectangle was 24 square units? Writing the Equation : Writing the Equation 3 units 8 units The rectangle area equation was: The triangle area equation is half the rectangle: ( ) 12 Equation vs. Formula : Equation vs. Formula The triangle area equation is: ( ) 12 The triangle area formula uses the labels in place of the numbers. The Equation – Formula Connection : The Equation – Formula Connection 8 units x 3 units = square units The triangle area equation is: ( ) 12 length x width = area The triangle area formula is: ( ) Use What You Know : Use What You Know Use your knowledge of rectangles and triangles to determine the area of more complex figures. l x w (l x w) What’s Next? : What’s Next? In our next lessons, we will explore these questions: and . . . What about circles? What is the formula for the area of a parallelogram? Does this work for all types of triangles?