geometry cover 2 - writemath...

Geometry

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Enterprises

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WriteMath Enterprises2303 Marseille Ct. Suite 104Valrico, FL 33596-7248813 657 3896

Grades 3 - 5

Kathryn Robinson

From the ‘Just Turn & Share’ Centers Series

VOLUME 5

5

From the Just Turn & Share Centers SeriesTM

temari th.w .cw omww

Just Turn & Share: Geometry www.WriteMath.com

I

Volume 5

(Grades 3 – 5)

Real-World

Mathematics

that

students

understand

______________________________

Kathryn Robinson

WriteMath Enterprises, Inc.

Valrico, Florida

5

4

TM

The student pages in this publication are designed to be used with

appropriate duplicating equipment to reproduce copies for permission classroom use only. WriteMath Enterprises, Inc.

grants to classroom teachers only to reproduce these student

sheets for students in one class per year per book purchased by the school or the teacher him/herself.

Copyright © 1995, 2000, 2007, 2013 WriteMath Publications

All rights reserved – Printed in the U.S.A.

Published by WriteMath Enterprises

2303 Marseille Ct., Valrico, FL 33596


II

I dedicate this series to my husband, Steve Robinson, for

advising, supporting, guiding, and editing years of work

and making my dreams possible.

I would also like to dedicate this series to my brother-in-law,

Michael Ghormley, for his expert mathematical advice,

patience, and willingness to answer my constant questions

over a period of several years.

This book is published by WriteMath Enterprises.

ISBN 978-0-9703216-9-5

Graphics from: Corel Draw 8 (Corel Corporation) and Microsoft Publisher

Copyright laws prohibit the duplication of any materials in this publication under

penalty of law.

Copyright 1995, 2000, 2007, 2013 Kathryn Robinson


VIII

Introduction .................................................................................................................. III

Blank Answer Sheet ....................................................................................................... V

Contents ...................................................................................................................... VIII

Line, Line Segment, and Ray Information ...................................................................... 2

Plane Figure Information ................................................................................................ 3

Week 1: Lines, Line Segments, & Rays .......................................................................... 4

Equivalent Fractions

Adding Fractions with Like Denominators

Factors

Week 2: Naming Lines, Line Segments, & Rays ............................................................ 8

Drawing Lines, Line Segments, & Rays

Segments

Naming Figures Information ......................................................................................... 12

Intersecting & Parallel Lines Information .................................................................... 12

Week 3: Naming Figures ............................................................................................... 13


Intersecting & Parallel Lines

Week 4: Naming Figures ............................................................................................... 17


Intersecting & Parallel Lines

Angle Information ........................................................................................................ 21

Measuring Angles Information .................................................................................... 22


IX

Week 5: Angles ............................................................................................................. 23

Vertices

Plane Figures

Naming Intersecting & Parallel Figures

Measuring Angles

Week 6: Interior & Exterior of Angles .......................................................................... 27

Naming Angles

Plane Figures

Naming Intersecting & Parallel Figures

Measuring Angles

Types of Angles Information ........................................................................................ 31

Slide Transformations Information ............................................................................... 32

Week 7: Types of Angles .............................................................................................. 33

Naming Angles

Vertices

Slide Transformations

Measuring Angles

Flip Transformations Information ................................................................................. 37


Naming Angles

Vertices

Flip Transformations

Measuring Angles

Turn Transformations Information ............................................................................... 42


Naming Angles

Vertices

Flip Transformations

Measuring Angles

Congruent & Similar Figures Information .................................................................... 47


X

Week 10: Types of Angles ............................................................................................ 48

Congruent Figures

Plane Figures

Clockwise Turns

Estimating Angle Measurements

Polygon Information ..................................................................................................... 52

Quadrilateral Information.............................................................................................. 53

Triangle information ..................................................................................................... 53


Similar Figures

Plane Figures

Transformations



Similar & Congruent Figures

Plane Figures

Transformations


Symmetry Information .................................................................................................. 62

Week 13: Estimating Angle Measurements .................................................................. 63

Lines of Symmetry

Polygons

Clockwise Turns

Naming Parallel & Intersecting Lines

Week 14: Estimating Angle Measurements ................................................................. 67

Lines of Symmetry

Polygons

Clockwise Turns



XI

Week 15: Estimating Angle Measurements .................................................................. 71

Lines of Symmetry

Polygons

Clockwise Turns


Space Figures Information ............................................................................................ 75

Pyramids & Prisms Information ................................................................................... 76

Week 16: Angles ........................................................................................................... 77

Faces, Vertices, & Edges

Polygons

Naming Lines

Congruent & Similar

Week 17: Angles ............................................................................................................ 81


Polygons

Naming Lines

Congruent & Similar

Week 18: Angles ........................................................................................................... 85


Polygons

Naming Lines

Congruent & Similar

Week 19: Clockwise Rotations ..................................................................................... 89


Angle Measurements on Triangles

Recognizing Space Figures

Characteristics of Space Figures







XII






Week 22: Counterclockwise Rotations ....................................................................... 101

Patterns

Cut-Outs of Space Figures


Polygons & Polyhedra

Week 23: Counterclockwise Rotations ....................................................................... 105

Patterns




Week 24: Counterclockwise Rotations ........................................................................ 109

Patterns




Week 25: Translations, Reflections, & Rotations ....................................................... 113

Lines of Symmetry



Lines of Symmetry



Lines of Symmetry



Naming Figures

Complementary Angles


XIII


Naming Figures

Supplementary Angles


Naming Figures

Complementary & Supplementary Angles

Answer Sheet ............................................................................................................... 137

MWriteMath Enterprises, Inc.

www.writemath.com®

Geometry: Week 1


2

A line segment is a straight figure with two endpoints: A & B

A line is a line segment that continues on forever at both ends.

A ray is a part of a line. It continues on forever at only one end.

Geometry: Week 1


3

A plane is a flat surface that goes on in all directions:

(Imagine a plane as a large piece of thin glass.)

Shapes that are drawn on a plan (flat surface) are called

plane figures.

triangle quadrilateral pentagon hexagon

octagon square rectangle circle

curve angle

Plane figures can be open like the curve and angle or

closed like the circle.

Geometry: Week 1


4

*** Refer to the Line, Line Segment, & Ray Information.

Name all of the figures below that are line segments:

*** Refer to Plane Figures Information.

Name a plane figure that has 5 sides.

Is the following plane figure open or closed?

EVERYONE: A, B, & C

A B

E

GL

N PS

T

UV

F

DC

A B

E

GH

J

KL

N PQ

R

ST

UV

F

DC

M

Geometry: Week 1


5


Name all of the figures below that are lines:




EVERYONE: A, B, & C

A B

E

GL

N PS

T

UV

F

DC

A B

E

GH

J

KL

N PQ

R

ST

UV

F

DC

M

Geometry: Week 1


6


Name all of the figures below that are rays:




EVERYONE: A, B, & C

A B

E

GL

N PS

T

UV

F

DC

A B

E

GH

J

KL

N PQ

R

ST

UV

F

DC

M

Geometry: Week 1


7


Name a line segment, a line, and a ray:




EVERYONE: A, B, & C

A B

E

GL

N PS

T

UV

F

DC

A B

E

GH

J

KL

N PQ

R

ST

UV

F

DC

M

Geometry: Week 7


31

A right angle in an angle that forms a 90º angle at the vertex.

(This angle = 90º)

Perpendicular lines are formed by intersecting lines that form

four right angles.

An acute angle is an angle that measures less than 90º.

90º

(This angle < 90º)

An obtuse angle is an angle that measure more than 90º, but less than 180º.

90º (This angle > 90º, but < 180 º)

OR (This angle is between 90º and 180º) 180º

Measurements you should know:

90º 180º 270º 360º

Geometry: Week 7


32

Geometric figures can be moved in special ways. These

movements are called transformations. Slides, flips, and

turns are types of transformations.

In a slide transformation, the figure is slid to a different

place, but looks exactly the same. Slides may be in any

direction.

A horizontal slide is a slide horizontally in either direction.

or A vertical slide is a slide vertically in either direction.

or

Geometry: Week 7


33

*** Refer to the information on Type of Angles.

Is this figure an acute, obtuse, or a right angle?

Name the angle in problem ‘ ’ three different ways.

How many vertices are on a triangular figure?

*** Refer to the Slide Transformation Information.

Which picture demonstrates a horizontal slide?

Measure the angle in problem ‘ ’.

* A, B, & C

** A, B, & D

*** B, D, & E

S

TV

This angle would be labeled

STV, VTS, or T

* Label all angles with the vertex as the

middle letter:

STV or VTS

* Angles may be named by their vertex only:

T

J

OB

#1 #2

Geometry: Week 7


34




How many vertices are on a hexagonal figure?


Which picture demonstrates a horizontal slide?


* A, B, & D

** A, B, & C

*** A, C, & E

S

TV

This angle would be labeled

STV, VTS, or T


middle letter:

STV or VTS


T

#1 #2

B

UY

Geometry: Week 7


35




How many vertices are on a quadrilateral figure?


Which picture demonstrates a vertical slide?


* A, B, & C

** A, B, & D

*** B, D, & E

S

TV

This angle would be labeled:

STV, VTS, or T


middle letter:

STV or VTS


T

M

A

#1 #2

Geometry: Week 7


36




How many vertices are on an octagonal figure?


Which picture demonstrates a vertical slide?


* A , B, & D

** A, B, & C

*** A, C, & E

S

TV

This angle would be labeled:

STV, VTS, or T


middle letter:

STV or VTS


T

#1 #2

J

O

Geometry: Week 16


76

Geometry: Week 16


77

If the zookeeper follows a straight

path from the kangaroo cages to

the elephant cages to the giraffe

cages, what type of angle does he

create? right angle obtuse angle straight angle acute angle

*** Read the information on Space Figures.

How many faces are found on

a rectangular prism?

If a regular polygon contains equilateral sides (sides that

are equal in length), which figure is a regular hexagon?

*** Refer to this figure for the following questions:

Name a line segment that is parallel to AB.

Name a triangle that is congruent to ABG.

* A, B, & C

** A, B, & D

*** B, D, & E

Geometry: Week 16


78



the elephant cages, what type of

angle does he create? right angle obtuse angle straight angle acute angle


How many vertices are found

on a rectangular prism?

If a regular polygon contains equilateral sides (sides that

are equal in length), which figure is a regular pentagon?


Name a line segment that intersects AD.

Name a triangle that is similar to ABD.

* A, B, & C

** A, C, & D

*** A, C, & E

Geometry: Week 16


79



the elephant cages to the monkey

cages, what type of angle does he

create? right angle obtuse angle straight angle acute angle


How many edges are found

on a rectangular prism?

If an irregular polygon doesn’t contain any equilateral

sides (sides that are equal in length), which figure is an irregular

pentagon?


Name a line segment that intersects BC.

Name a triangle that is congruent to AEG.

* A, B, & C

** A, B, & D

*** B, D, & E

Geometry: Week 16


80


path from the camel cages to the

giraffe cages to the monkey cages,

what type of angle does he create?

right angle obtuse angle straight angle acute angle *** Read the information on Space Figures.

Fill in the blanks of Euler’s formula for the rectangular

prism. (Euler was the mathematician that created the formula for space

figures.) _______ + ________ = _______ + 2

(# of faces) (# of vertices) (# of edges)

If an irregular polygon doesn’t contain any equilateral

sides (sides that are equal in length), which figure is an irregular

hexagon?


Name a line segment that is parallel to CD.

Name a triangle that is similar to ADC.

* A, B, & D

** A, B, & C

*** A, C, & E

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