Breaking away from the algebra and geometry book : original and traditional lessons for grades K-8 / Patricia Baggett, Andrzej Ehrenfeucht.

Format:

Book

Author/Creator:

Baggett, Patricia.

Contributor:

Ehrenfeucht, Andrzej.

Language:

English

Subjects (All):

Algebra--Study and teaching (Elementary).

Algebra.

Algebra--Study and teaching (Middle school).

Geometry--Study and teaching (Elementary).

Geometry.

Geometry--Study and teaching (Middle school).

Physical Description:

xi, 173 pages : illustrations ; 28 cm

Place of Publication:

Lanham, Md. : Scarecrow Education, [publisher not identified], 2001.

Summary:

How many of your students really love math? If the answer is, not everyone, this textbook is for you. It's a book filled with fun and practical ways to get young students interested in algebra and geometry. You can use the lessons as early as kindergarten and first grade. The book introduces basic concepts and actively involves children in the learning process. The challenging games, puzzles, and word problems use algebra, teaching kids to use variables for two- and three-dimensional geometry as well as arithmetic.

Contents:

Chapter 1 Arithmetic and Algebra

Part A Word Problems 1

Lesson 1. Variables in Early Grades 3

Lesson 2. Writing Equations 5

Lesson 3. Heads and Legs 7

Lesson 4. Four Numbers 9

Lesson 5. Push-Ups 11

Lesson 6. Sharing Apples 14

Lesson 7. Bottle and Cork 15

Lesson 8. Poor Peppermint Patty 17

Lesson 9. Sheep: An Old Puzzle 20

Lesson 10. Cubes, Balls, and Nails 22

Lesson 11. Ages of Mother and Daughter: A Puzzle 23

Lesson 12. Wedding Day 25

Lesson 13. A Most Dreaded Word Problem 27

Lesson 14. Arithmetic Puzzles 29

Lesson 15. Three Numbers Puzzle 31

Lesson 16. A Pot of Soup 32

Part B Measurement 35

Lesson 17. Open Box 37

Lesson 18. The Area of the Surface of a Box 39

Lesson 19. Rice Cakes Box 41

Part C Other Applications 43

Lesson 20. English Numerals 45

Lesson 21. Whole Numbers Written in Base 2 47

Lesson 22. Fibonacci Surprise 49

Lesson 23. Fraction Game Using the Continued Fraction Algorithm 52

Chapter 2 Two-Dimensional Geometry 57

Lesson 24. Five-Petal Rosette 59

Lesson 25. Shamrock 62

Lesson 26. Yin and Yang, Again and Again! 64

Lesson 27. Bishop's Cap 66

Lesson 28. Irregular Polygons 69

Lesson 29. Star Maker 72

Lesson 30. What Is a Rhombus? 77

Lesson 31. Quadrilateral Jigsaw Puzzle: Early Geometry 82

Lesson 32. Three Squares 85

Lesson 33. Road Distances and Straight Lines 91

Lesson 34. Distances and Driving Distances in the Southwestern United States 94

Lesson 35. Geometric Surprise 99

Lesson 36. Pentagon Inscribed in a Circle 101

Chapter 3 Three-Dimensional Geometry 105

Lesson 37. Puffy Stars 107

Lesson 38. Skeletal Polyhedra 109

Lesson 39. How to Draw an Icosahedron 114

Lesson 40. Twenty Pyramids Make an Icosahedron 116

Lesson 41. Fox: A Nonconvex Polyhedron 119

Lesson 42. Two-Piece Tetrahedron Puzzle 121

Lesson 43. Four-Piece Tetrahedron Puzzle I 124

Lesson 44. Four-Piece Tetrahedron Puzzle II 126

Lesson 45. A Cube and a Tetrahedron with the Same Volume 129

Lesson 46. Two Cylinders 133

Lesson 47. Cone 135

Lesson 48. Clay Balls 137

Lesson 49. How Well Do You Know a Cube? 139

Lesson 50. Colored Cube 143

Chapter 4 Games, Puzzles, and Combinatorics 145

Lesson 51. The Fox and the Rabbit 147

Lesson 52. Early Arithmetic: Fair Sharing 149

Lesson 53. Fair Sharing II 150

Lesson 54. Basketball Champs 152

Lesson 55. Sum of the First n Whole Numbers 154

Lesson 56. Missing Word 155

Lesson 57. The Game of Pig 157

Lesson 58. Pascal's Triangle: An Introduction 159

Lesson 59. Pascal's Triangle in Early Grades 163

Lesson 60. Pascal's Triangle: n Choose r 164

Lesson 61. Pascal's Triangle: Binomial Coefficients 166

Lesson 62. Square Quilts 168.

ISBN:

0810840480

OCLC:

47044970