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E-grāmata: Basic Geometry, Grades 6 - 8

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  • Formāts: 128 pages
  • Izdošanas datums: 18-Apr-2011
  • Izdevniecība: Mark Twain Media
  • Valoda: eng
  • ISBN-13: 9781580379991
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  • Formāts: 128 pages
  • Izdošanas datums: 18-Apr-2011
  • Izdevniecība: Mark Twain Media
  • Valoda: eng
  • ISBN-13: 9781580379991
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Basic Geometry leads students from points and lines, to angles, two-dimensional shapes, and three-dimensional space figures. All concepts are teacher-tested and illustrated with easy-to-understand diagrams, and patterns for three-dimensional figures so students can get hands-on experience in constructing these foldable models. Supports NCTM Standards and is correlated to state, national, and Canadian provincial standards. 128 pages


Basic Geometry leads students from points and lines, to angles, two-dimensional shapes, and three-dimensional space figures.
Introduction iv
Points, Lines, and Planes
1(18)
Introduction
1(1)
Undefined Terms
1(1)
Point
2(1)
Line Segment
2(1)
Straight Line
3(1)
Relationships Between Points and Lines
3(1)
Collinear Points
4(1)
Ray
5(1)
Plane
6(1)
Relationships of Points, Lines, and Planes
7(2)
Coplanar Lines and Skew Lines
9(1)
Intersections of Lines and Planes
10(1)
Angle
11(1)
Polygon
12(1)
Triangle
12(1)
Quadrilateral
13(1)
Other Polygons
13(1)
Polygonal Regions
14(1)
Symbols for Geometric Figures
14(1)
Exercises
15(2)
Discovery Exercise
17(2)
Congruence
19(19)
Pre-Test Activities
19(4)
Congruence and Equality
23(1)
Congruent Line Segments
24(1)
Congruent Angles
24(1)
Right Angles
24(1)
Classification of Triangles and Quadrilaterals
25(1)
Relationships of Quadrilaterals
26(1)
Regular Polygons
27(1)
Circle
27(1)
Arc
28(1)
Symbols
28(1)
Exercises
29(6)
Visual Aid for Geometry Activity
35(1)
Area Activity
36(2)
Concave and Convex Figures
38(3)
Convex Figures
38(1)
Concave Figures
39(1)
Examples of Convex and Concave Figures
39(1)
Exercises
40(1)
Lines of Symmetry
41(3)
Line Symmetry
41(2)
Exercises
43(1)
Measurement of Angles
44(12)
Degrees
44(2)
Special Names for Angles According to Their Measures
46(1)
Complementary and Supplementary Angles
46(1)
Exercises
47(9)
Constructions
56(28)
Intersection Exercises
57(13)
A Construct a Line Segment Congruent to a Given Segment
58(1)
B Bisect a Line Segment
58(2)
C Construct a Ray Perpendicular to a Line at a Given Point in the Line
60(2)
D Construct a Perpendicular From a Point to a Line
62(2)
E Bisect a Given Angle
64(1)
F Construct an Angle Congruent to a Given Angle
65(1)
G Construct a Triangle Congruent to a Given Triangle
66(1)
H Construct a Line Through a Given Point and Parallel to a Given Line
66(1)
I Construct a Line Parallel to a Given Line and at a Given Distance From It
67(2)
J Separate a Circle Into Six Congruent Arcs
69(1)
Exercises
70(7)
Geometric Patterns and Addition
77(2)
Paper Folding
79(5)
Space Figures
84(30)
Prisms
86(6)
Patterns for Prisms
88(4)
Pyramids
92(3)
Patterns for Pyramids
92(3)
Cylinders
95(2)
Pattern for Cylinder
96(1)
Spheres
97(3)
Volumes and Surface Areas for Specific Figures
100(8)
Exercises
106(2)
The Five Regular Polyhedrons
108(6)
Tetrahedron
109(1)
Octahedron
110(1)
Icosahedron
111(1)
Hexahedron (Cube)
112(1)
Dodecahedron
113(1)
Glossary 114(5)
Answer Keys 119