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Geometry and Spatial Sense, Grades 4 to 6 - EduGains

**Geometry** **and** **Spatial** **Sense**, **Grades** 4 **to** 6 A Guide **to** Effective Instruction in Mathematics, Kindergarten **to** Grade 6 2008

- Page 3 and 4: Geometry and Spatial Sense, Grades
- Page 5 and 6: ContEntS Introduction 5 Working Tow
- Page 7 and 8: IntroduCtIon Geometry and Spatial S
- Page 9 and 10: • providing opportunities for stu
- Page 11 and 12: Assessment Accommodations • Forma
- Page 13 and 14: • develop a repertoire of problem
- Page 15 and 16: Area of Development Psychological d
- Page 17 and 18: Students are better able to see the
- Page 19 and 20: manipulate, helps students relate n
- Page 21 and 22: The levels described by the van Hie
- Page 23 and 24: Students can create Venn diagrams,
- Page 25 and 26: PROPERTIES OF POLYGONS In the junio
- Page 27 and 28: Geometric relationships With well-d
- Page 29 and 30: Three-dimensional, or solid, figure
- Page 31 and 32: The relationships between two-dimen
- Page 33 and 34: Location and Movement Spatial sense
- Page 35 and 36: The First Quadrant of the Cartesian
- Page 37 and 38: REFLECTIONS A reflection over a lin
- Page 39 and 40: elating Mathematics topics to the B
- Page 41 and 42: Instruction that is based on meanin
- Page 43 and 44: The angles below are all equivalent
- Page 45 and 46: Students could cut this full-circle
- Page 47 and 48: 65º 65º These two angles are cong
- Page 49 and 50: SYMMETRY In the primary grades stud
- Page 51 and 52: Angles: Sides: Size: Right Triangle
- Page 53 and 54:
Classification of Quadrilaterals ki

- Page 55 and 56:
LEArnInG ABout thrEEdIMEnSIonAL FIG

- Page 57 and 58:
Properties of Prisms and Pyramids I

- Page 59 and 60:
Prisms are named according to the s

- Page 61 and 62:
Although both nets have the correct

- Page 63 and 64:
LEArnInG ABout LoCAtIon And MovEMEn

- Page 65 and 66:
Students’ first experiences with

- Page 67 and 68:
The first quadrant of the coordinat

- Page 69 and 70:
A translation can be described as a

- Page 71 and 72:
• Construct any shape and place a

- Page 73 and 74:
Coordinate systems can help student

- Page 75:
EFErEnCES Elementary Teachers’ Fe

- Page 79 and 80:
Introduction to the Learning Activi

- Page 81 and 82:
Grade 4 Learning Activity Two-Dimen

- Page 83 and 84:
• Show students an orange square

- Page 85 and 86:
ASSESSMENT Observe students as they

- Page 87 and 88:
Pattern Block Angles Chart Object M

- Page 89 and 90:
quadrilateral Twister Floor Mat Qua

- Page 91 and 92:
qUADRILATERAL SHAPE CARDS Grade 4 L

- Page 93 and 94:
Grade 4 Learning Activity Three-Dim

- Page 95 and 96:
Students have opportunities to repr

- Page 97 and 98:
REFLECTING AND CONNECTING Select a

- Page 99 and 100:
Begin by showing students a rectang

- Page 101 and 102:
3-D Construction Challenge Names: N

- Page 103 and 104:
Grade 4 Learning Activity: Three-Di

- Page 105 and 106:
Teach an Alien 1. Choose one of the

- Page 107 and 108:
More Rectangular Prisms Construct e

- Page 109 and 110:
For the arrangements that you check

- Page 111 and 112:
MATH LANGUAGE • grid • cell •

- Page 113 and 114:
Refer to students’ work to emphas

- Page 115 and 116:
• create a legend to designate la

- Page 117 and 118:
Your Opponents’ Shapes 10 9 8 7 6

- Page 119 and 120:
Playing Check Mate Dear Parent/Guar

- Page 121 and 122:
Grade 4 Learning Activity Movement:

- Page 123 and 124:
• “What strategy did you use to

- Page 125 and 126:
LEARNING CONNECTION 2 Carmen’s Ca

- Page 127 and 128:
Hit the Target Start with the trian

- Page 129 and 130:
Real-World Symmetry Decide on the n

- Page 131 and 132:
Grade 5 Learning Activity Two-Dimen

- Page 133 and 134:
GETTING STARTED Place a picture of

- Page 135 and 136:
HOME CONNECTION In this Home Connec

- Page 137 and 138:
Assorted Triangles Q D A M A F W C

- Page 139 and 140:
Triangles in the Environment Dear P

- Page 141 and 142:
Triangle Construction Spinners Make

- Page 143 and 144:
• transparency of isometric dot p

- Page 145 and 146:
Ask: “What about this arrangement

- Page 147 and 148:
the toy company?” Ask about the c

- Page 149 and 150:
Unveil the missing faces and invite

- Page 151 and 152:
Find the Nets Only some of the foll

- Page 153 and 154:
Drawing Nets in AppleWorks 1. Follo

- Page 155 and 156:
G. h. I. q Prism q Pyramid q Other

- Page 157 and 158:
4. Complete the partial nets by add

- Page 159 and 160:
MATH LANGUAGE • cardinal directio

- Page 161 and 162:
REFLECTING AND CONNECTING Reconvene

- Page 163 and 164:
This investigation builds on the id

- Page 165 and 166:
City Treasure Hunt Planning Sheet A

- Page 167 and 168:
Planning a Trip Dear Parent/Guardia

- Page 169 and 170:
Drawing Directions North West East

- Page 171 and 172:
MATH LANGUAGE • triangle • trap

- Page 173 and 174:
ADAPTATIONS/EXTENSIONS Students exp

- Page 175 and 176:
Translations North West East South

- Page 177 and 178:
Design Instructions MATERIALS • p

- Page 179 and 180:
How Many Ways? 10th Av 9th Av 8th A

- Page 181 and 182:
• number cubes (dice) (1 per pair

- Page 183 and 184:
attempt to use ABC to construct the

- Page 185 and 186:
The partner records in his or her m

- Page 187 and 188:
Shape Cards Grade 6 Learning Activi

- Page 189 and 190:
quadrilateral Angle Properties Comp

- Page 191 and 192:
quadrilateral Cards Grade 6 Learnin

- Page 193 and 194:
Grade 6 Learning Activity Three-Dim

- Page 195 and 196:
GETTING STARTED Distribute three in

- Page 197 and 198:
WORKING ON IT Have students work in

- Page 199 and 200:
Students begin by using six differe

- Page 201 and 202:
Once groups of students have discov

- Page 203 and 204:
Isometric Dot Paper Grade 6 Learnin

- Page 205 and 206:
Sketching Isometric Perspectives 1.

- Page 207 and 208:
Name of Object: Name of Object: Gra

- Page 209 and 210:
5. Add colour: • Select the Selec

- Page 211 and 212:
The 8 Four-Cube Structures Here are

- Page 213 and 214:
2. Use to construct these: and Grad

- Page 215 and 216:
Grade 6 Learning Activity Location:

- Page 217 and 218:
Ask other members of the class to j

- Page 219 and 220:
LEARNING CONNECTION 2 Coordinate Ch

- Page 221 and 222:
Name My Shapes Instructions 1. Work

- Page 223 and 224:
Introduction to Name My Shapes Dear

- Page 225 and 226:
Grade 6 Learning Activity Movement:

- Page 227 and 228:
WORKING ON IT On another day ask a

- Page 229 and 230:
Ask students to work with a partner

- Page 231 and 232:
Logos Dear Parent/Guardian: In geom

- Page 233 and 234:
Logo Design 1. Work with a partner.

- Page 235 and 236:
Grade 6 Learning Activity: Movement

- Page 237 and 238:
Grade 6 Learning Activity: Movement

- Page 239:
quadrilaterals, questions, and Symm

- Page 242 and 243:
240 Guiding Questions Planning Acti

- Page 244 and 245:
242 Students should not be required

- Page 246 and 247:
244 the representation of an object

- Page 248 and 249:
246 coordinate of a point, and the

- Page 250:
248 transformation. A change in a f