6.G.1 Find the area of triangles, quadtrilaterals, and polygons by composing rectangles or decomposing

Posted: February 3, 2015 in Advance, Periods 1&2, Periods 3&4

Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

Find the area of a parallelogram by decomposing

In this lesson you will learn how to find the area of a parallelogram by decomposing into a rectangle.

Find the area of a right triangle

In this lesson you will learn how to find the area of a right triangle by composing a rectangle.

Find the area of a trapezoid by composing a parallelogram

In this lesson you will learn how to find the area of a trapezoid by composing a parallelogram.

Find the area of polygons by decomposing into triangles, rectangles, …

In this lesson you will learn how to find the area of other polygons by decomposing into triangles, rectangles, parallelograms, and trapezoids.

Isolation Drills:

Area of parallelograms

Area of quadrilaterals and polygons

Area of trapezoids, rhombi, and kites

Area of triangles

Area of triangles 2

Finding area by composing and decomposing shapes

Interactive Practice:

  1. Angle Classification: Acute, Right, Obtuse – Explanation and questions to answer
  2. Angle Game – Shoot alien spaceship that matches the angle stated.
  3. Angles – Students practice their knowledge of acute, obtuse and alternate angles.
  4. Angles – A twenty slide PowerPoint show with a quiz to be used as a whole class activity
  5. Area of a Rectangle: Intermediate Level – Worksheet, answers on page 2
  6. Area of a Right Triangle – Worksheet, answers on page 2
  7. Area of a Triangle – Three page lesson, practice questions are found on page 3
  8. Area of a Triangle – Drag the orange dots on each vertex to reshape the triangle. The formula shown will recalculate the area using this method. Several ways to calculate triangle area are listed.
  9. Area of a Triangle – Several ways to compute the area of a triangle
  10. Area of a Triangle – Interactive lesson plan from Illuminations
  11. Area of a Triangle – Explanation, examples and practice exercises to check student understanding
  12. Area of an Irregular Rectangle – Calculate the area of each figure given
  13. Area of Complex Figures – Self check, multiple-choice quiz
  14. Area of Parallelograms – Self check, multiple-choice quiz
  15. Area of Parallelograms and Trapezoids – Multiple-choice quiz from IXL math
  16. Area of Parallelograms, Triangles, and Trapezoids – Self check, multiple-choice quiz
  17. Area of Parallelograms, Triangles, and Trapezoids – Chapter test, multiple-choice quiz
  18. Area of Plane Shapes – Several plane shapes are listed with the formula for calculating their area, at the end of the page you will find links to ten questions to check student understanding
  19. Area of Rectangles and Triangles – Worksheet, answers on page 2
  20. Area of Rectangles and Triangles: Advanced – Worksheet, answers on page 2
  21. Area of Squares and Rectangles – Multiple-choice quiz from IXL math
  22. Area of Triangles – Multiple-choice quiz from IXL math
  23. Area of Triangles – How to find areas of triangles
  24. Area of Triangles – Self check, multiple-choice quiz
  25. Area of Triangles and Trapezoids – Self check, multiple-choice quiz
  26. Areas and Squares – Five multiple-choice questions
  27. Baseball Geometry – Area of a triangle game from Knowledge Box, you get baseballs to swing at for getting a correct answer
  28. Basic Geometric Figures – A TAKS worksheet to print and use in class [from the Wayback Machine Internet Archive.]
  29. Calculating the Area of a Triangle – Explanation, examples, practice exercises, and a quiz designed as a game
  30. Classifying Angles – Multiple-choice quiz [5 questions]
  31. Construction of Bicentric Quadrilateral – A mathematical droodle
  32. Equilateral, Isosceles, and Scalene Triangles – Choose the most restrictive term
  33. Geometric Shape Flashcards – Quiz, select the correct answer from a pull down menu
  34. Geometry Building Blocks: Classifying Angles – Explanation and drawings
  35. Geometry Building Blocks: Classifying Angles – Examples
  36. Geometry Building Blocks: Classifying Angles – Quiz
  37. How Do We Measure Angles? – Six page worksheet with explanations and exercises to print and use in class
  38. How Do You Find the Area of a Triangle – Math video answering the question
  39. Interactive Quadrilateral – Become familiar with all angles of quadrilaterals in this interactive game.
  40. Interactive Triangle – Click on the red points in the Java Window to manipulate the triangle. Use the buttons to show the calculated area in each of the three calculations
  41. Making Triangles – Virtual GeoBoard; interactive site; IWB friendly.Investigating the Concept of Triangle and the Properties of Polygons (from NCTM)
  42. Measuring Angles – Use a virtual protractor
  43. Measuring Angles – Practice lining up and reading a protractor while you measure a set of angles in a fun learning activity
  44. Measuring Angles with a Virtual Protractor – Ten online activities investigating angles. Use this virtual protractor to measure angles you create yourself.
  45. Measuring Area and Volume – Chapter test, multiple-choice quiz
  46. Names of Angles – Definition and drawings of each type
  47. Polygons – Introductory lesson from Math is Fun
  48. Practice With Quadrilaterals – A twelve question quiz with drawings
  49. Quad Squad – A quick lesson on classifying and describing quadrilaterals
  50. Quadrilateral Family – From regents prep
  51. Quadrilateral Matching – Concentration style quiz
  52. Quadrilateral Quest – Interactive lesson, drag and drop activity
  53. Quadrilateral Sorter – Click on a shape to find out about it
  54. Quadrilaterals – A sixteen slide PowerPoint show
  55. Quadrilaterals – A wikipedia entry with a large number of drawings
  56. Quadrilaterals – Explanation, examples and questions to answer
  57. Quadrilaterals Explained – Lesson on quadrilaterals and activity dragging the dots to form quadrilaterals.
  58. Quadrilaterals II – A twenty-eight slide PowerPoint show
  59. Quadrilaterals Quiz – Six multiple choice questions
  60. Right, Acute, and Obtuse Angles – Figures are shown, decide which is the proper angle
  61. Right, Acute, and Obtuse Angles – Sort angles into appropriate containers
  62. Shapes: Quadrilaterals – Explanation and questions to show understanding
  63. Squaring the Triangle – Learn about how the Pythagorean Theorem works, through investigating the standard geometric proof. Parameters: Sizes of the legs of the triangle.
  64. Triangle Calculator – Enter values three of the six sides and angles of the triangle and the other three values will be computed. The number of significant values entered will determine the number of significant figures in the results.
  65. Triangle Explorer – An applet which allows students to study the nature of triangles and their area
  66. Triangle Explorer – Students learn about areas of triangles and about the Cartesian coordinate system through experimenting with triangles drawn on a grid.
  67. Triangle Identification – Type of triangle, given its angles – instruction and review, practice, and a quiz
  68. Triangle Identification – Identify the triangle given its number of sides – instruction and review, practice, and a quiz
  69. Triangles Side-By-Side – Use geometric vocabulary to describe properties of triangles
  70. Types of Angles – Definitions, and drawings of each type
  71. What’s My Quadrilateral – Three different teaching ideas
  72. Working with Angles – Spy Guys Interactive Lesson 16- Online lesson along with activities and practice for this topic.
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