Geometry Teacher's Activities Kit : Ready-to-Use Lessons and Worksheets for Grades 6-12

by Muschla, Judith A.; Muschla, Gary Robert

• ISBN13: 9780130600387
• ISBN10: 0130600385
• Format: Paperback
• Copyright: 2001-05-15
• Publisher: Jossey-Bass

Summary

For all math teachers in grades 6-12, this practical resource provides 130 detailed lessons with reproducible worksheets to help students understand geometry concepts and recognize and interpret geometry's relationship to the real world. The lessons and worksheets are organized into seven sections, each covering one major area of geometry and presented in an easy-to-follow format including title focusing on a specific topic/skill, learning objective, special materials (if any), teaching notes with step-by-step directions, answer key, and reproducible student activity sheets. Activities in sections 1-6 are presented in order of difficulty within each section while those in Part 7, "A Potpourri of Geometry," are open-ended and may be used with most middle and high school classes. Many activities throughout the book may be used with calculators and computers in line with the NCTM's recommendations.

Author Biography

Geometry Teacher's Activities Kit is the fourth practical resource for math teachers co-authored by Judith and Gary Muschla. Their earlier works included The Math Teacher's Book of Lists (Prentice Hall, 1995), Hands-On Math Project with Real-Life Applications (The Center, 1996), and Math Starters! 5-to 10-Minute Activities to make Kids Think, Grades 6-12 (The Center, 1999).

Table of Contents

About Geometry Instruction	vii
How to Use This Resource	ix
Part 1 THE LANGUAGE OF GEOMETRY	1	(72)
A Crossword Puzzle of the Language of Geometry	3	(2)
Worksheet 1-1	4	(1)
A Geometry ``Word'' Puzzle	5	(3)
Worksheet 1-2	6	(2)
A Word Game of Geometry	8	(2)
Worksheet 1-3	9	(1)
Tracing Networks	10	(3)
Worksheet 1-4A	11	(1)
Worksheet 1-4B	12	(1)
Traceable Networks and Types of Vertices	13	(3)
Worksheet 1-5	14	(2)
Constructing a Tangram	16	(2)
Worksheet 1-6	17	(1)
Geometric Art	18	(2)
Worksheet 1-7	19	(1)
Drawing Intersections	20	(4)
Worksheet 1-8	22	(2)
Intersections and Unions	24	(3)
Worksheet 1-9	25	(2)
What Does It Measure?	27	(2)
Worksheet 1-10	28	(1)
Measuring Angles with a Protractor	29	(3)
Worksheet 1-11A	30	(1)
Worksheet 1-11B	31	(1)
Finding Missing Angles	32	(4)
Worksheet 1-12	33	(3)
Using Angles to Create Line Designs	36	(3)
Worksheet 1-13A	37	(1)
Worksheet 1-13B	38	(1)
Angles and the Hands of Time	39	(3)
Worksheet 1-14	40	(2)
Forming Straight Angles	42	(3)
Worksheet 1-15	43	(2)
The Angles in Constellations	45	(2)
Worksheet 1-16	46	(1)
A Parallel Scavenger Hunt	47	(2)
Worksheet 1-17	48	(1)
Optical Illusions and Parallel Lines	49	(4)
Worksheet 1-18	50	(3)
Calculator Digits---Perpendicular and Parallel Segments	53	(2)
Worksheet 1-19	54	(1)
Monopoly® and Perpendicular and Parallel Lines	55	(3)
Worksheet 1-20A	56	(1)
Worksheet 1-20B	57	(1)
Positioning Streets on a Map	58	(3)
Worksheet 1-21A	59	(1)
Worksheet 1-21B	60	(1)
Angles and Transversals	61	(2)
Worksheet 1-22	62	(1)
Parallel Lines and Transversals	63	(2)
Worksheet 1-23	64	(1)
If-Then Statements	65	(3)
Worksheet 1-24	67	(1)
Symbols of Geometry	68	(2)
Worksheet 1-25	69	(1)
The Greek Alphabet	70	(3)
Worksheet 1-26	71	(2)
Part 2 POLYGONS---THE FOUNDATIONS	73	(54)
Polygon Prefix Scavenger Hunt	75	(2)
Worksheet 2-1	76	(1)
Tangrams and Polygons	77	(3)
Worksheet 2-2	79	(1)
Concave and Convex Polygons	80	(3)
Worksheet 2-3	82	(1)
The Symmetry of Logos	83	(2)
Worksheet 2-4	84	(1)
Magic Triangles	85	(2)
Worksheet 2-5	86	(1)
It's Worth a ``Tri''---Crossword Puzzle	87	(2)
Worksheet 2-6	88	(1)
Try Your Hand at Drawing Triangles	89	(2)
Worksheet 2-7	90	(1)
Angles of Triangles	91	(5)
Worksheet 2-8A	93	(2)
Worksheet 2-8B	95	(1)
The Pythagorean Theorem	96	(2)
Worksheet 2-9	97	(1)
Polyominoes	98	(4)
Worksheet 2-10	100	(2)
Tetris Shapes	102	(4)
Worksheet 2-11	103	(3)
Magic Squares	106	(2)
Worksheet 2-12	107	(1)
Toothpick Problems	108	(3)
Worksheet 2-13	110	(1)
The Churn Dash	111	(2)
Worksheet 2-14	112	(1)
Sorting Quadrilaterals	113	(3)
Worksheet 2-15A	114	(1)
Worksheet 2-15B	115	(1)
Charts and Quadrilaterals	116	(3)
Worksheet 2-16	118	(1)
Creating Quadrilaterals by Connecting Midpoints	119	(3)
Worksheet 2-17	120	(2)
Magic Hexagons	122	(2)
Worksheet 2-18	123	(1)
Coordinating Polygons	124	(3)
Worksheet 2-19	126	(1)
Part 3 POLYGONS---ADVANCED	127	(72)
Polygons and Lines of Symmetry	129	(2)
Worksheet 3-1	130	(1)
Figurate Numbers	131	(3)
Worksheet 3-2	132	(2)
Pascal's Triangle	134	(3)
Worksheet 3-3	135	(2)
Sides, Diagonals, and Handshakes	137	(2)
Worksheet 3-4	138	(1)
Finding the Sum of the Interior Angles of a Polygon	139	(3)
Worksheet 3-5	140	(2)
The Big Triangle Problem	142	(2)
Worksheet 3-6	143	(1)
Medians of Triangles	144	(2)
Worksheet 3-7	145	(1)
Triangles: The Points, Segments, and Angles	146	(2)
Worksheet 3-8	147	(1)
Attributes of Triangles	148	(3)
Worksheet 3-9A	149	(1)
Worksheet 3-9B	150	(1)
What Type of Triangle?	151	(3)
Worksheet 3-10	153	(1)
Right Triangles and Special Right Triangles	154	(4)
Worksheet 3-11	156	(2)
Explaining the Sine, Cosine, and Tangent Rations	158	(2)
Worksheet 3-12	159	(1)
Identifying What Is Needed to Prove Triangles Are Congruent	160	(4)
Worksheet 3-13	161	(3)
Proving Triangles Similar	164	(2)
Worksheet 3-14	165	(1)
Identifying Attributes of Triangles	166	(2)
Worksheet 3-15	167	(1)
Fibonacci Rectangles	168	(4)
Worksheet 3-16	169	(3)
Attributes of Quadrilaterals	172	(3)
Worksheet 3-17A	173	(1)
Worksheet 3-17B	174	(1)
Classifying Quadrilaterals	175	(3)
Worksheet 3-18	177	(1)
Diagonals of Quadrilaterals	178	(4)
Worksheet 3-19A	180	(1)
Worksheet 3-19B	181	(1)
The Big Quadrilateral Puzzle	182	(2)
Worksheet 3-20	183	(1)
The Bigger Quadrilateral Puzzle	184	(2)
Worksheet 3-21	185	(1)
Identifying Attributes of Quadrilaterals	186	(3)
Worksheet 3-22	187	(2)
The Basics of Transformations	189	(5)
Worksheet 3-23A	190	(2)
Worksheet 3-23B	192	(2)
Writing Directions for Transformations	194	(2)
Worksheet 3-24	195	(1)
Polygons and Formulas	196	(3)
Worksheet 3-25	197	(2)
Part 4 CIRCLES	199	(46)
A Crossword Puzzle of Circle Vocabulary	201	(2)
Worksheet 4-1	202	(1)
Magic Circles	203	(2)
Worksheet 4-2	204	(1)
Drawing Circles	205	(2)
Worksheet 4-3	206	(1)
Circles and Symmetry	207	(4)
Worksheet 4-4	208	(3)
Inscribed Polygons	211	(3)
Worksheet 4-5	212	(2)
Tangents: Circles and Lines	214	(3)
Worksheet 4-6	216	(1)
Circles: Symbols of Segments and Angles	217	(3)
Worksheet 4-7	218	(2)
The Big Circle Puzzle	220	(2)
Worksheet 4-8	221	(1)
The Bigger Circle Puzzle	222	(3)
Worksheet 4-9A	223	(1)
Worksheet 4-9B	224	(1)
The Biggest Circle Puzzle	225	(3)
Worksheet 4-10A	226	(1)
Worksheet 4-10B	227	(1)
Explain the Reason---Circles	228	(3)
Worksheet 4-11	230	(1)
Circles and Coordinate Geometry	231	(3)
Worksheet 4-12	233	(1)
The Circular Definition of an Angle	234	(3)
Worksheet 4-13	236	(1)
The Archimedean Spiral---A Curve from Concentric Circles	237	(3)
Worksheet 4-14	239	(1)
The Circular Definitions of the Trigonometric Functions	240	(5)
Worksheet 4-15	242	(3)
Part 5 3-D FIGURES	245	(34)
Visualizing with Pentominoes	247	(2)
Worksheet 5-1	248	(1)
Opposite Faces of a Cube	249	(3)
Worksheet 5-2	251	(1)
Stacking Cubes	252	(3)
Worksheet 5-3	254	(1)
Creating Prisms from Nets	255	(3)
Worksheet 5-4A	256	(1)
Worksheet 5-4B	257	(1)
Constructing Nets and Regular Pyramids	258	(2)
Worksheet 5-5	259	(1)
Platonic Solids	260	(2)
Worksheet 5-6	261	(1)
Solids by the Number	262	(2)
Worksheet 5-7	263	(1)
Creating Three-Dimensional Models	264	(2)
Worksheet 5-8	265	(1)
Drawing Three-Dimensional Figures	266	(4)
Worksheet 5-9	267	(3)
Rotations of Plane Figures Around a Line	270	(3)
Worksheet 5-10	271	(2)
Types of Solids	273	(3)
Worksheet 5-11	274	(2)
A Crossword Puzzle of Solid Figures	276	(3)
Worksheet 5-12	277	(2)
Part 6 APPLICATIONS OF GEOMETRY	279	(30)
Working with a Scale	281	(2)
Worksheet 6-1	282	(1)
Finding Perimeter---Fencing a Yard	283	(2)
Worksheet 6-2	284	(1)
Finding Area---Painting a Room	285	(2)
Worksheet 6-3	286	(1)
Finding Area---Tiling a Floor	287	(2)
Worksheet 6-4	288	(1)
Finding Area---Fertilizing a Lawn	289	(3)
Worksheet 6-5	290	(2)
Comparing Areas	292	(3)
Worksheet 6-6	293	(2)
Surface Area and Wrapping Paper	295	(3)
Worksheet 6-7	296	(2)
Volumes of Containers	298	(2)
Worksheet 6-8	299	(1)
Surface Area and Volume of a Rectangular Prism	300	(2)
Worksheet 6-9	300	(2)
Creating a Poster of Applications and Definitions	302	(2)
Worksheet 6-10	303	(1)
Creating Problems and Applying Formulas	304	(5)
Worksheet 6-11	305	(2)
Creating Problems and Applying Formulas	306	(1)
Worksheet 6-12	307	(2)
Part 7 A POTPOURRI OF GEOMETRY	309	(2)
A Biographical Sketch of a Famous Geometer	311	(1)
Worksheet 7-1A	312	(1)
Worksheet 7-1B	313	(1)
The Geometry Teacher	314	(1)
Worksheet 7-2A	315	(1)
Worksheet 7-2B	316	(1)
A Geometry Newsletter	317	(2)
Worksheet 7-3	319	(1)
Geometry Rebuses	320	(1)
Worksheet 7-4	321	(1)
Creating a Geometry Poster	322	(1)
Worksheet 7-5	323	(1)
A Geometry Comic Strip	324	(1)
Worksheet 7-6	325	(1)
The Geometry Game	326	(2)
Worksheet 7-7	328	(1)
A Geometry Presentation	329	(1)
Worksheet 7-8	330	(1)
A Geometry Poem	331	(1)
Worksheet 7-9	332	(1)
Writing Concrete Poems in Geometry	333	(1)
Worksheet 7-10	334	(1)
A Geometry Handbook	335	(1)
Worksheet 7-11	336	(1)
In Support of Geometry---A Persuasive Essay	337	(1)
Worksheet 7-12	338	(1)
A Collage of Geometry Careers	339	(1)
Worksheet 7-13	340	(1)
Geometry in Native American Cultures	341	(1)
Worksheet 7-14	342	(1)
Geometry in Sports	343	(1)
Worksheet 7-15	344	(1)
Geometry in Nature	345	(1)
Worksheet 7-16	346	(1)
Geometry in Building and Architecture	347	(1)
Worksheet 7-17	348	(1)
Geometry and the Internet	349	(1)
Worksheet 7-18	350	(1)
A Geometry Scavenger Hunt	351	(1)
Worksheet 7-19	352	(1)
A Geometry Board Game	353	(1)
Worksheet 7-20	354	(1)
Geometry and Galileo	355	(1)
Worksheet 7-21	356