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Bellringer Discuss with your shoulder partner the following situation… Why does a four-legged chair sometimes wobbles, but a three legged chair never

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Page 1: Bellringer Discuss with your shoulder partner the following situation… Why does a four-legged chair sometimes wobbles, but a three legged chair never
Page 2: Bellringer Discuss with your shoulder partner the following situation… Why does a four-legged chair sometimes wobbles, but a three legged chair never

BellringerDiscuss with your shoulder partner the

following situation…

Why does a four-legged chair sometimes wobbles, but a three legged chair never wobbles???

Page 3: Bellringer Discuss with your shoulder partner the following situation… Why does a four-legged chair sometimes wobbles, but a three legged chair never

Points, Lines, and Planes

Page 4: Bellringer Discuss with your shoulder partner the following situation… Why does a four-legged chair sometimes wobbles, but a three legged chair never

Objective:I will represent simple geometric shapes

like points, lines, segments, rays, and angles using proper identification.

Page 5: Bellringer Discuss with your shoulder partner the following situation… Why does a four-legged chair sometimes wobbles, but a three legged chair never

PointPDrawn: as a dotNamed by: a CAPITAL letterFacts: A point has neither shape nor sizeWords/Symbols: point P

Page 6: Bellringer Discuss with your shoulder partner the following situation… Why does a four-legged chair sometimes wobbles, but a three legged chair never

Line

AB

n

Drawn: with an arrowhead at both endsNamed by: the letters representing two points on the line or a lowercase script letterFacts: There is exactly one line through any two points

Words/Symbols: line n, line AB or , line BA or

AB

BA

Page 7: Bellringer Discuss with your shoulder partner the following situation… Why does a four-legged chair sometimes wobbles, but a three legged chair never

VocabularyCollinear-Noncollinear-

Page 8: Bellringer Discuss with your shoulder partner the following situation… Why does a four-legged chair sometimes wobbles, but a three legged chair never

Plane

X

Y

Z

T

Drawn: as a shaded, slanted 4-sided figureNamed by: a capital script letter or by the letters naming three noncollinear pointsFacts: There is exactly one plane through any three noncollinear points

Words/Symbols: plane T, plane XYZ, plane XZY, plane YXZ, plane YZX, plane ZXY, plane ZYX

Page 9: Bellringer Discuss with your shoulder partner the following situation… Why does a four-legged chair sometimes wobbles, but a three legged chair never

PlaneParallel Planes: Planes that do not intersect

Page 11: Bellringer Discuss with your shoulder partner the following situation… Why does a four-legged chair sometimes wobbles, but a three legged chair never

Write Rally RobinStudents take turns stating and writing

responses or solutions. Record answers on one sheet of paper.

Page 12: Bellringer Discuss with your shoulder partner the following situation… Why does a four-legged chair sometimes wobbles, but a three legged chair never

Name the line of intersection

Page 14: Bellringer Discuss with your shoulder partner the following situation… Why does a four-legged chair sometimes wobbles, but a three legged chair never

Partners take turns, one solving a problem while the other coaches.

1. Partner A solves the first problem.2. Partner B watches and listens, checks,

coaches if necessary, and praises.3. Partner B solves the next problem.4. Partner A watches and listens, checks,

coaches if necessary, and praises.

Rally Coach

Page 15: Bellringer Discuss with your shoulder partner the following situation… Why does a four-legged chair sometimes wobbles, but a three legged chair never

Draw and label a figure for each relationship.Plane R contains lines AB and DE, which

intersect at point P. Add point C on plane R so that it is not collinear with AB or DE

Page 16: Bellringer Discuss with your shoulder partner the following situation… Why does a four-legged chair sometimes wobbles, but a three legged chair never

QR on a coordinate plane contains Q(-2,4) and R(4,-4). Add point T so that T is collinear with these points.

Page 17: Bellringer Discuss with your shoulder partner the following situation… Why does a four-legged chair sometimes wobbles, but a three legged chair never

Space- a boundless, three dimensional set of all points. Space can contain lines and planes

Page 18: Bellringer Discuss with your shoulder partner the following situation… Why does a four-legged chair sometimes wobbles, but a three legged chair never

nm

lF

T U

R S

P Q

W

1. Name a line that contains point P.2. Name the plane containing lines n and m.3. Name the intersection of lines n and m.4. Name a point not contained in lines l, m, or n.5. What is another name for line n?6. Does line l intersect line m or line n? Explain.

Page 19: Bellringer Discuss with your shoulder partner the following situation… Why does a four-legged chair sometimes wobbles, but a three legged chair never

In review…There are 3 basic terms in geometryPoint, Line, and PlaneHow do we model them?Draw them?Name them?And write them?

It’s important…