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Instructions: Trace the figure onto a transparency. Cut along the solid lines (not the dashed lines). Tape the single square along an edge to form this shape: Fold to form an open cube. Tape remaining edges. 244 3-Inch Squares for Transparent Cube Geometry Labs © 1999 Henri Picciotto, www.MathEducationPage.org
To make the radius of this circle exactly 10 cm, enlarge photocopies to 120%. Geometry Labs CircleTrig Geoboard Paper 245 © 1999 Henri Picciotto, www.MathEducationPage.org
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GEOMETRY Henri Picciotto LABS ACTIV
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Project Editor: Editorial Assistant
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Contents Introduction .............
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9 Distance and Square Root ........
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Introduction About This Book This b
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• Manipulatives can motivate stud
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If you have access to computers, I
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1 Angles An essential foundation of
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LAB 1.1 Angles Around a Point Name(
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LAB 1.2 Angle Measurement (continue
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LAB 1.4 Angles of Pattern Block Pol
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LAB 1.5 Angles in a Triangle Name(s
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LAB 1.6 The Exterior Angle Theorem
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LAB 1.6 The Exterior Angle Theorem
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LAB 1.7 Angles and Triangles in a C
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LAB 1.8 The Intercepted Arc (contin
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LAB 1.10 Soccer Angles Name(s) Equi
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LAB 1.10 Soccer Angles (continued)
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LAB 1.10 Soccer Angles (continued)
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2 Tangrams Tangram puzzles are quit
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LAB 2.1 Meet the Tangrams (continue
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LAB 2.2 Tangram Measurements (conti
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LAB 2.4 Symmetric Polygons Name(s)
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3 Polygons In the first two labs, t
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LAB 3.1 Triangles from Sides (conti
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LAB 3.2 Triangles from Angles (cont
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LAB 3.3 Walking Convex Polygons (co
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LAB 3.4 Regular Polygons and Stars
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LAB 3.5 Walking Regular Polygons (c
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LAB 3.6 Walking Nonconvex Polygons
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LAB 3.8 Sum of the Angles in a Poly
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LAB 3.9 Triangulating Polygons (con
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4 Polyominoes Polyominoes are a maj
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LAB 4.1 Finding the Polyominoes Nam
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LAB 4.2 Polyominoes and Symmetry Na
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LAB 4.3 Polyomino Puzzles Name(s) E
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LAB 4.4 Family Trees (continued) Na
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LAB 4.5 Envelopes (continued) Name(
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LAB 4.7 Minimum Covers Name(s) Equi
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LAB 4.9 Polytans Name(s) Equipment:
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LAB 4.10 Polyrectangles (continued)
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5 Symmetry Many of the activities i
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LAB 5.1 Introduction to Symmetry (c
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LAB 5.2 Triangle and Quadrilateral
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LAB 5.3 One Mirror Name(s) Equipmen
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LAB 5.4 Two Mirrors Name(s) Equipme
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LAB 5.4 Two Mirrors (continued) Nam
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LAB 5.5 Rotation Symmetry (continue
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LAB 5.6 Rotation and Line Symmetry
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LAB 5.7 Two Intersecting Lines of S
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LAB 5.8 Parallel Lines of Symmetry
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Triangles and 6Quadrilaterals The c
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LAB 6.1 Noncongruent Triangles (con
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LAB 6.2 Walking Parallelograms (con
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LAB 6.4 Making Quadrilaterals from
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7 Tiling In this section, we addres
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LAB 7.1 Tiling with Polyominoes Nam
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LAB 7.2 Tiling with Pattern Blocks
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LAB 7.4 Tiling with Regular Polygon
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8 Perimeter and Area This section s
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LAB 8.1 Polyomino Perimeter and Are
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LAB 8.2 Minimizing Perimeter Name(s
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LAB 8.3 A Formula for Polyomino Per
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LAB 8.4 Geoboard Area Name(s) Equip
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LAB 8.5 Geoboard Squares Name(s) Eq
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LAB 8.6 Pick’s Formula (continued
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Distance and 9Square Root This chap
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LAB 9.1 Taxicab Versus Euclidean Di
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LAB 9.2 The Pythagorean Theorem Nam
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LAB 9.3 Simplifying Radicals Name(s
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LAB 9.4 Distance from the Origin Na
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LAB 9.6 Taxicab Geometry Name(s) Eq
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10 Similarity and Scaling Similarit
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LAB 10.1 Scaling on the Geoboard Na
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LAB 10.2 Similar Rectangles Name(s)
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LAB 10.3 Polyomino Blowups Name(s)
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LAB 10.3 Polyomino Blowups (continu
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LAB 10.5 3-D Blowups Name(s) Equipm
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LAB 10.6 Tangram Similarity Name(s)
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LAB 10.7 Famous Right Triangles Nam
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11 Angles and Ratios This section p
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LAB 11.1 Angles and Slopes Name(s)
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LAB 11.2 Using Slope Angles Name(s)
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LAB 11.3 Solving Right Triangles Na
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LAB 11.4 Ratios Involving the Hypot
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LAB 11.5 Using the Hypotenuse Ratio
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Trigonometry Reference Sheet The pa
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LAB 11.6 The Unit Circle (continued
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LAB 11.7 Name(s) Perimeters and Are
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LAB 11.8 “” for Regular Polygon
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1 Angles Lab 1.1: Angles Around a P
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For this pattern block hexagon, add
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Theorems: triangle sum theorem, iso
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Answers 1-5. See student work. 6. T
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7. Answers will vary. Discussion An
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compass and straightedge.You may al
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3. Answers will vary. Here are some
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which Question B hints at, is that
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To make an algebra connection, you
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Answers 1. See Polyomino Names Refe
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Answers 1. C. F, N, P D. Only the W
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Lab 4.7: Minimum Covers This lab is
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5. Discussion Answers A. Polyominoe
Page 209 and 210: information in the relevant cells o
Page 211 and 212: Discussion Answers A. Pentagons and
Page 213 and 214: other. Students can make rubber sta
Page 215 and 216: draw the lines and duplicate them y
Page 217 and 218: 5. Answers will vary. Here are some
Page 219 and 220: Or students could analyze: • poss
Page 221 and 222: For Problem 2, make sure the studen
Page 223 and 224: 2 hexagons, 2 triangles 1 hexagon,
Page 225 and 226: 4. P max 2A 2 5. Answers will vary.
Page 227 and 228: This shows that 2 A⎤ 2n, and sinc
Page 229 and 230: Lab 8.5: Geoboard Squares Prerequis
Page 231 and 232: Answers 1. a. 11 b. 10 c. 4 d. 6.4
Page 233 and 234: 3. Discussion Answers A. √5 5 √
Page 235 and 236: If your students enjoy Problem 6, a
Page 237 and 238: 4. a. 5. a. (0, 0) (6, 0) (0, 0) (0
Page 239 and 240: congruent to each other and similar
Page 241 and 242: 2. (In the Perimeter table, numbers
Page 243 and 244: Discussion Answers A. They are the
Page 245 and 246: Discussion Answers A. Each individu
Page 247 and 248: 3. Triangle c: 1, 3, 2 4. Triangles
Page 249 and 250: type of slope triangle will work fo
Page 251 and 252: Discussion Answers A. Answers will
Page 253 and 254: 8. sin 2 cos 2 1. It is the Pythago
Page 255 and 256: Geometry Labs Geoboard Paper 239 ©
Page 257 and 258: Geometry Labs 1-Centimeter Grid Pap
Page 259: Geometry Labs Circle Geoboard Paper
Page 263 and 264: Geometry Labs Unit Circles 247 © 1
Page 266: GEOMETRY LABS Geometry Labs are han
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