Unit 1

Tools of Geometry

Unit 1 introduces students to various topics in the study of geometry. 

REVIEW GAME: PLAY GEOPARDY 
... remember, you DO NOT need a username/password... just click on PLAY THIS GAME and skip the login

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VISUALIZATION
Essential Question: How can you represent a three-dimensional figure with a two-dimensional drawing?

  • Students will make nets for solid figures

  • Isometric and orthographic drawings will be used to show attributes of figures

REASONING
Essential Question: What are the building blocks of geometry?

  • Students will design basic geometric figures

  • Undefined terms such as point, line, and plane will be shown with visual representations

  • Postulates, which will lead to proofs, will be presented

MEASUREMENT
Essential Question: How can you describe the attributes of a segment or an angle?

  • Segments will be measured with and without a coordinate grid

  • Students will use the midpoint and distance formulas

  • Protractors (bleechh!... Mr. C.) will be used to measure angles

Lesson/Objective Supplemental Lessons On-line Practice Homework
1-2  Points, Lines, and Planes

Objective:  To understand basic terms and postulates of geometry.  

ESSENTIAL UNDERSTANDINGS: Geometry is a mathematical system built on accepted facts, basic terms and definitions.

 A postulate or axiom is an accepted statement of fact.


VIDEO TUTORS

Identifying collinear points

Naming lines, segments, and rays

Naming a plane


LESSON QUIZ

hw #1-2 & 1-3
Read sections 1-2 & 1-3
pg 16 #1-22,27,28,40-45
pg 24 #1-7,20-22, & #23-29 odd

 

1-3  Measuring Segments

Objective:  To find and compare lengths of segments

ESSENTIAL UNDERSTANDING: Number operations can be used to find and compare the lengths of segments.

 


VIDEO TUTORS

Using the segment addition postulate

Using a midpoint of a segment


LESSON QUIZ
1-1  Nets and Drawings for Visualizing Geometry

Objective:  To make nets and drawings of three-dimensional figures

ESSENTIAL UNDERSTANDING: Three-dimensional figures can be represented with a two-dimensional figure using special drawing techniques. 

 


VIDEO TUTORS

Drawing isometric views of a 3-D figure

Drawing orthographic views of a 3-D figure

Drawing a net

LESSON QUIZ

hw #1-1 
Read section 1-1
pg 7-10 #1-11 All
             #13-17 Odd
             #22,24-26, 35, 38
pg 18 #59-64 All

 
1-4 Measuring Angles 

Objective: To find and compare measures of angles

ESSENTIAL UNDERSTANDING: Number operations can be used to find and compare the lengths of segments.


VIDEO TUTORS

Using the angle addition postulate

Classifying angles

 

 


LESSON QUIZ
hw #1-4, #1-5
pg 24-25 #15-37 Odd
pg 31-33 #15-39 Mult of 3
pg 38-39 #12-39 Mult of 3
 
1-5  Exploring Angle Pairs 

Objective: To identify special angle pairs and use their relationships to angle measures

ESSENTIAL UNDERSTANDING: Special angle pairs can help you identify geometric relationships. You can use these angle pairs to find angle measures.

Adjacent Angles
Vertical Angles
Complementary Angles
Supplementary Angles
 


VIDEO TUTORS

Identifying angle pairs


LESSON QUIZ

UNIT 1 QUIZ:  Thursday, Sept 20
Sections 1-1 thru 1-5

1-6  Basic Constructions

Objective: To make basic constructions using a straight-edge and a compass

ESSENTIAL UNDERSTANDING: You can use special geometric tools to make a figure that is congruent to an original figure without using a ruler or protractor to measure. This method is more accurate than sketching and drawing.


 


VIDEO TUTORS

Constructing a congruent angle

Constructing an angle bisector

Constructing a perpendicular bisector

Constructing a congruent segment
 


LESSON QUIZ

... and remember ANYTHING you can do with a straight-edge and compass, you can do with a KNOTTED ROPE (and cubits and hayts!!).

 

hw #1-6
Read sections 1-6
pg 46-48 #19-31 All, 33

Rope-stretchers
of the world,
UNITE!!

1-7  Midpoint and Distance in the Coordinate Plane

Objective: To find the midpoint of a segment in the coordinate plane. To find the distance between two points in the coordinate plane.

ESSENTIAL UNDERSTANDING: You can use formulas to find the midpoint and length of any segment in the coordinate plane.
 


VIDEO TUTORS

Finding distance between two points on the coordinate plane

Finding the midpoint of a segment

 


LESSON QUIZ
hw #1-7
Read Section 1-7
pg 53-56 #1-5,13-15,19-21,41-43,57-58

hw #1-8 
Read Section 1-8
pg 64-67 #1-5,7,11,15,19,23,26,32,34-37,47-50

 

1-8  Perimeter, Circumference, and Area 

Objective: To find the perimeter or circumference of basic shapes. To find the area of basic shapes.

ESSENTIAL UNDERSTANDING: Perimeter and area are two different ways of measuring geometric shapes.
  


VIDEO TUTORS

Finding circumference

Finding the perimeter in the coordinate plane

Finding the area of rectangles

Finding the area of circles
 


LESSON QUIZ
UNIT 1 REVIEW   REVIEW GAME: PLAY GEOPARDY Chapter Review pg 70-74
Chapter Test pg 75

Can't get enough GEOMETRY??!!

Cumulative Review pg 76-77 :)

#1-infinity

 

UNIT 1 TEST