The following includes a sample chapter section from the book.
h t a M
Grades
6–12
0 . 2 b e W r e h t O ders n o W &
The following includes a sample chapter section from the book.
Web 2.0 & Other Wonders – Math – Grades 6-12
Page 101
Interactive Parallelograms Math Warehouse http://www.mathwarehouse.com/geometry/quadrilaterals/parallelograms/interactiveparallelogram.php
Overview 1. To create different parallelograms, click and drag each of the points. 2. For each parallelogram created, this site displays: a. Side lengths b. Slopes c. Diagonal lengths d. Diagonal lengths from the point of intersection 3. Click the Toggle Grid button to turn the coordinate grid on or off. 4. Click the Diagonals button to turn diagonal information on or off.
Page 102
Web 2.0 & Other Wonders – Math – Grades 6-12
Interactive Parallelograms TEKS Objectives (6.6.A) (6.6.B) (7.6.A)
Use angle measurements to classify angles as acute, obtuse, or right. Identify relationships involving angles in triangles and quadrilaterals. Use angle measurements to classify pairs of angles as complementary or supplementary. (7.6.B) Use properties to classify triangles and quadrilaterals. (G.C.1) The student uses numeric and geometric patterns to make generalizations about geometric properties, including properties of polygons, ratios in similar figures and solids, and angle relationships in polygons and circles. (G.E.2.B) Based on explorations and using concrete models, the student formulates and tests conjectures about the properties and attributes of polygons and their component parts. NCTM Standards Sixth through Eighth • Precisely describe, classify, and understand relationships among types of two- and threedimensional objects using their defining properties. • Create and critique inductive and deductive arguments concerning geometric ideas and relationships, such as congruence, similarity, and the Pythagorean relationship. Ninth through Twelfth • Analyze properties and determine attributes of two- and three-dimensional objects. • Explore relationships (including congruence and similarity) among classes of two- and threedimensional geometric objects, make and test conjectures about them, and solve problems involving them. • Establish the validity of geometric conjectures using deduction, prove theorems, and critique arguments made by others. Teacher Preparation • •
Familiarize yourself and students with the Math Warehouse Parallelograms website. Make copies of the appropriate Interactive Parallelograms worksheet(s).
Web 2.0 & Other Wonders – Math – Grades 6-12
Page 103
Interactive Parallelograms Side Lengths 1. Start the Math Warehouse Interactive Parallelogram site: http://www.mathwarehouse.com/geometry/quadrilaterals/parallelograms/interactive-parallelogram.php
2. Click and drag any of the points to create different parallelograms. 3. Opposite sides of a parallelogram do not share a common vertex (point). 4. Side AB is opposite to side ___________. 5. Side BC is opposite to side ___________. 6. Using the chart above your parallelogram, record the following measurements: a. Side AB = ___________. b. Its opposite side = ___________. c. Side BC = ___________. d. Its opposite side = ___________. 7. Click and drag any of the points to create a different parallelogram, then record the following measurements: a. Side AB = ___________. b. Its opposite side = ___________. c. Side BC = ___________. d. Its opposite side = ___________. Complete the following: 8. Opposite sides of a parallelogram are _________________________. 9. Click and drag to create a rectangle (all right angles). 10. Are the opposite sides still congruent? ___________ 11. Why or why not? ____________________________________________________________ 12. Click and drag to create a rhombus (all sides congruent). 13. Are the opposite sides still congruent? ___________ 14. Why or why not? ____________________________________________________________
Grades
6–12
0 . 2 b e W r e h t O ders n o W &
The following includes a sample chapter section from the book.
Web 2.0 & Other Wonders – Math – Grades 6-12
Page 101
Interactive Parallelograms Math Warehouse http://www.mathwarehouse.com/geometry/quadrilaterals/parallelograms/interactiveparallelogram.php
Overview 1. To create different parallelograms, click and drag each of the points. 2. For each parallelogram created, this site displays: a. Side lengths b. Slopes c. Diagonal lengths d. Diagonal lengths from the point of intersection 3. Click the Toggle Grid button to turn the coordinate grid on or off. 4. Click the Diagonals button to turn diagonal information on or off.
Page 102
Web 2.0 & Other Wonders – Math – Grades 6-12
Interactive Parallelograms TEKS Objectives (6.6.A) (6.6.B) (7.6.A)
Use angle measurements to classify angles as acute, obtuse, or right. Identify relationships involving angles in triangles and quadrilaterals. Use angle measurements to classify pairs of angles as complementary or supplementary. (7.6.B) Use properties to classify triangles and quadrilaterals. (G.C.1) The student uses numeric and geometric patterns to make generalizations about geometric properties, including properties of polygons, ratios in similar figures and solids, and angle relationships in polygons and circles. (G.E.2.B) Based on explorations and using concrete models, the student formulates and tests conjectures about the properties and attributes of polygons and their component parts. NCTM Standards Sixth through Eighth • Precisely describe, classify, and understand relationships among types of two- and threedimensional objects using their defining properties. • Create and critique inductive and deductive arguments concerning geometric ideas and relationships, such as congruence, similarity, and the Pythagorean relationship. Ninth through Twelfth • Analyze properties and determine attributes of two- and three-dimensional objects. • Explore relationships (including congruence and similarity) among classes of two- and threedimensional geometric objects, make and test conjectures about them, and solve problems involving them. • Establish the validity of geometric conjectures using deduction, prove theorems, and critique arguments made by others. Teacher Preparation • •
Familiarize yourself and students with the Math Warehouse Parallelograms website. Make copies of the appropriate Interactive Parallelograms worksheet(s).
Web 2.0 & Other Wonders – Math – Grades 6-12
Page 103
Interactive Parallelograms Side Lengths 1. Start the Math Warehouse Interactive Parallelogram site: http://www.mathwarehouse.com/geometry/quadrilaterals/parallelograms/interactive-parallelogram.php
2. Click and drag any of the points to create different parallelograms. 3. Opposite sides of a parallelogram do not share a common vertex (point). 4. Side AB is opposite to side ___________. 5. Side BC is opposite to side ___________. 6. Using the chart above your parallelogram, record the following measurements: a. Side AB = ___________. b. Its opposite side = ___________. c. Side BC = ___________. d. Its opposite side = ___________. 7. Click and drag any of the points to create a different parallelogram, then record the following measurements: a. Side AB = ___________. b. Its opposite side = ___________. c. Side BC = ___________. d. Its opposite side = ___________. Complete the following: 8. Opposite sides of a parallelogram are _________________________. 9. Click and drag to create a rectangle (all right angles). 10. Are the opposite sides still congruent? ___________ 11. Why or why not? ____________________________________________________________ 12. Click and drag to create a rhombus (all sides congruent). 13. Are the opposite sides still congruent? ___________ 14. Why or why not? ____________________________________________________________
