1. Chapter 1 pt. 1 Understanding Points, Lines, & Planes
Vocabulary & Practice

2. Warm – Up: The Coordinate Plane
How to plot points on a coordinate plane?
How to simplify expressions and solve equations?
Warm – Up: The Coordinate Plane
1. ** What is the remainder, if you divide by 7.
A. 75 
B. 39 
2. In a coordinate system, which quadrant is in the lower left-hand portion of the plane?
3. Points N(5, -2) and M(2, -4) lie on the graph of 2x – 3y = 16. Determine whether P(8, 0) is collinear to N and M.
4. Graph three points that lie on the graph of y = 4x – 5. x y

3. Algebraic Expressions vs. Verbal Expressions
How to plot points on a coordinate plane?
How to simplify expressions and solve equations?
Algebraic Expressions vs. Verbal Expressions
Find Your Match
Sit beside your match.

4. Algebra 1 Review Complete “What’s Our Score?”
How to simplify expressions and solve equations?
What are points, lines, and planes?
Algebra 1 Review
Complete “What’s Our Score?”

5. Warm – Up: How to simplify expressions and solve equations?
What are points, lines, and planes?
Warm – Up:
3. Plot each point.
1. A(0, 0)
2. B(5, 0)
3. C(-5, 0)
4. D(0, 5)
5. E(0, -5)
6. F(-5, -5)
1. Simplify the expression:
-y + 3y - 6y + 12y
2. Solve.
4x – 5 + 3x + 36 = 58 x y

6. Analyze Your Vocabulary Knowledge
In groups of 2 or 3, determine if you have any knowledge of each term.
*Point
Space
*Line
Coplanar
*Plane
Collinear
*Segments
Non-collinear
* Pythagorean Theorem
Postulate Theorem
*Angle
Distance
*Ray
Congruent
*Vertex
Midpoint
*Acute Angle
Bisector
*Obtuse Angle
Proof
*Straight Angle
Degrees
*Adjacent Angle
Corollary
*Perpendicular lines
Linear Pair
*Vertical Angles
Geometry
*Complementary
Coordinates
*Supplementary
Intersection

7. Pick up: Ruler and Worksheet
How to simplify expressions and solve equations?
What are points, lines, and planes?
Points, Lines, & Planes
Pick up: Ruler and Worksheet

8. Sketch and Investigate
Points and Segments
Construct two points and label them “A” and “B.”
Find the distance between the two points D = ______
Q1: How can you make the distance between the two points zero? 
Draw a segment connecting the two points.
Measure the length of the segment.  M = ____
Q2: How does the length of the segment compare to the distance between its endpoints?
Construct a second segment CD with endpoint “D” on the first segment.
Measure the length of segment CD. M = ____
Q3: How would you find the midpoint of segment CD?
Rays and Lines
Draw a ray with endpoint “J” that passes through a point “K.” Note: a ray extends in one direction.
Q4: Could ray JK also be called ray KJ?
Explain.
Q5: Why or Why not can you measure the length of ray JK?
Q6: Why can’t you find the midpoint of a ray?
Draw point M between point J and Point K.
Q7: Give two different names to the ray.
R1.__________ R2. ______________ 
Construct line XY. 
Q8: Name two rays and a segment that lie on the line.
R1. ________ R2. ________S1.________

9. (Cont) Sketch and Investigate
How to simplify expressions and solve equations?
What are points, lines, and planes?
(Cont) Sketch and Investigate
Q9: List the similarities and differences between segments, rays, and lines. Complete Venn diagram.
Ray
Segment
Fill in Venn diagram with statements below:
Finite
Infinitely Long
Straight
Has 0 endpoints
Has 1 endpoints
Has 2 endpoints
Has a midpoint
Line

10. Warm –up: The Real world (chp. 1)
Name a real world example of each and draw a picture.
A. point
B. segment
C. ray
D. line

11. Points, Lines, and Planes
Points Lines and Planes Video
Review terms from video

12. POINTS a dot Represents a specific location in space
Named by one CAPITAL letter
Example: ∙A

13. Lines Infinitely long and straight Has no end points
Named by two points on line or one lower case letter
Example:

14. COLLINEAR vs NONCOLLINEAR
Collinear: Points that lie on the same line
Example: Points M,A, & N are collinear
Noncolliear: All points do not lie on the same line
Example: Points T, I, & C are noncollinear

15. RAY SEGMENT Has one end point Extends infinitely in one direction
Named by its endpoint and a point that it passes through
Example: Ray AB
Has two endpoints
Part of a line or ray
Can be measured
Named by its endpoints
Example: Segment CD

16. PLANE Flat surface Extends infinitely in all directions
Name by a single CAPITAL letter or by 3 noncollinear points
Example : Plane KSX or Plane R X K S

17. COPLANAR Points that lie in the same plane.
Example: Points B, C, D are coplanar
Point A, B, C, D are noncoplanar A F B D C

18. LINES Parallel Lines: Do not intersect; in the same plane
Intersecting Lines: Lines that meet at a point
Skew Lines: Lines not in the same plane; do not intersect

19. SPACE
A boundless 3-dimensional set of all points

20. PRACTICE

21. Practice: How many points name a line? Answer: 2
How many points name a plane ?
Answer: 3 noncollinear
Draw and label: Line m contains P
Answer: on board

22. Practice: Are points E, F, and C collinear? Answer: yes
Are points A, C, D, and E coplanar?
Answer: no
How many planes appear in this figure?
Answer: 5

23. Practice: Name a point that is not collinear to F and C?
Answer: A, B, D, L, or T
Identify a point that is not in plane N?
Answer: E or F
What is the intersection of plane ADE and plane N?
Answer: Line AD

24. Practice: Are points A, L, and T collinear? Answer: no
Are points E, F, and T coplanar?
Answer: yes
Are points B, T, and C collinear?

25. Draw and label Ray LK Line a and line b intersect at C.
line l intersect plane N at X.
Points A, B, C, and D are noncollinear.
Points A, B, C, and D are noncoplanar.

26. State whether each best modeled by a point, line, or plane.
A star in the sky
Answer: point
An ice skating rink
Answer: plane
A telephone wire strung between two poles
Answer: line

27. Individual Practice Homework Open your textbook to page 9.
worksheet
May work with a partner quietly
Complete problems 1-12, 20,21

28. Warm – Up: Points, Lines, & PlanesJ H
1. Are points H, J, K, and L coplanar?
2. Name three segments that intersect at X.
3. Are points W, X, Y collinear?
4. What point(s) do plane WXY and segment WH have in common? L K Z W Y X

29. Quiz: Points, Lines, and Planes
No talking during quiz
When finish,
Pick up a ruler, a marker, and a sheet of patty paper from front table
In textbook, read1.6 (p.43) and 1.2 (p.13)

30. Measuring Segments
Distance
Midpoint

31. Measuring Segments Locating the Midpoint of a segment
Material: patty paper, ruler, and pencil
***You can locate the midpoint of any segment by using paper folding
Draw points A and B anywhere on a sheet of patty paper
Connect the points to form segment AB
Fold the paper so that the endpoints A and B lie on top of each other. Pinch the paper to make a crease on the segment.
Open the paper and label the point where the crease intersects segment AB as C. Point C is the midpoint of segment AB.

32. YOUR TURN Use a ruler to measure segment AC and segment CB.
Repeat the activity with two other segments.
Write a sentence to summarize your observation.
Video: Midpoint and Distance
Groups: Make video tomorrow

33. Warm-up: Measuring Segments
Find a partner
Look around, observe your surroundings, and find a “POINT A” and a “POINT B.” Write it down.
Measure the distance from “POINT A” to “POINT B,” and find the midpoint.

36. Return Quiz
Any questions

37. Locate the place that is midway between Conway & Greenville.

38. Measuring Segments Group Notes &Video Teach Concept
Distance
Midpoint

39. Make a video explaining how to find the midpoint and distance given a number line or two coordinates.
Resources: Textbook 1.2 p. 13 & 1.6 p.43 and Geometry To Go (bookshelf)
The video must include:
1. How to find the midpoint of a specified segment on a number line? Explain. Give example. (25pts)
2. How to find the distance of a specified segment on a number line? Explain. Give example. (25pts)
3. How to find the midpoint of a segment given two coordinates? Explain. Give example. (25pts)
4. How to find the distance of a segment given two coordinates? Explain. Give example. (25pts)
5. Include the following terms correctly in explanations: congruent segments, bisects, and coordinate plane. (bonus)

40. Measuring Segments -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
T S V Q W R B
Measuring Segments P
Given: Number Line
Two Coordinate Points
Midpoint Formula
a + b 2
Distance Formula
| x2 – x1|
Midpoint Formula
Distance Formula

41. Warm-Up How to find the midpoint and distance of a segment?
# 1 & 2: True or False, and
Explain.
1. The bisector of a segment always intersects the segment at its midpoint.
2. When 2 lines intersect, a plane is formed.
#3: Use number line
D A C B
3. Find the midpoint and distance of segment AB.
4. Find the distance given (-5, 7) & (8, -10)

42. Geometry Textbook Online
Username & Password

43. View Videos
How to find the midpoint and distance given a number line?

44. T S V Q W R B
√Measuring Segments P
How to find the midpoint and distance of a segment?
Given: Number Line
Two Coordinate Points
Midpoint Formula
a + b 2
Distance Formula
| x2 – x1|
Midpoint Formula
Distance Formula

45. √ Measuring Segments Points Distance Midpoint
How to find the midpoint and distance of a segment?
Points
Distance
Midpoint
(-1, 14)
And
(3, 6)
(11, -1)
(-3, -7)
(6, 5)
(0, -1)
(-8, 15)
(-4, 5)
(-4, 1)
(-10, -9)

46. 1.2 Measuring Segments and Constructing Segments
How to find the midpoint and distance of a segment?
1.2 Measuring Segments and Constructing Segments
TWEET
On a Post It Note
Think About This p. 16

47. Segment Addition Postulate
How to find the midpoint and distance of a segment?
Segment Addition Postulate
between
States: If Q is __________ P and R, then ___________________.
Sketch:
Examples: Given that B is between A and C, find the missing measure.
1. AB = 6, BC = 4.5, AB_______
PQ + QR = PR

48. Segment Addition How to find the midpoint and distance of a segment?
Example: Given that B is between A and C, find the missing measure.
AC = 15, AB = 6, BC _______
Sketch:
AB = 2x, BC = 10x, AC= 6, find x.

49. Practice: Segment Addition
How to find the midpoint and distance of a segment?
Practice: Segment Addition
Statement
Draw
Solve
Given that B is between A and C, find missing measure.
AB = 5.3, BC = _?_, and AC = 6.7
AB = 21, BC = 4.3, and AC = _?_.
AB = _?_, BC = 18.9, and AC = 23.
AB = 6¾ , BC = _?_, and AC = 10.
Given that B is between A and C, find the value of x and the measure of BC.
AB = 3x, BC = 5x, and AC = 8.

50. Warm-Up: Measuring Segments
1. Find the distance and midpoint given A(5, -5) & B(-2, 8). D= M=
2. If B is between endpoints A & C, find each missing measure.
A.) If AB = 53 & BC = 21, find AC.
B.) If AB= 13 & BC= 2x , find AC = 3x +7. Find x.

51. Check: Segment Addition
How to find the midpoint and distance of a segment?
Check: Segment Addition
Statement
Draw
Solve
Given that B is between A and C, find missing measure.
AB = 5.3, BC = _?_, and AC = 6.7
AB = 21, BC = 4.3, and AC = _?_.
AB = _?_, BC = 18.9, and AC = 23.
AB = 6¾ , BC = _?_, and AC = 10.
Given that B is between A and C, find the value of x and the measure of BC.
AB = 3x, BC = 5x, and AC = 8.

52. √Check: Segment Addition
How to find the midpoint and distance of a segment?
√Check: Segment Addition
Statement
Draw
Solve
Given that B is between A and C, find the value of x and the measure of BC.
AB = 3(x + 7), BC = 2(x – 3), and AC = 50
R is the midpoint of segment ST. Is SR = 3x + 4 and ST = 8x -7, find RT.
If XY = ZB, XY = 6x – 8, and ZB = 4x + 6, what is the measure of XY.
If J is the midpoint of AB, AJ = 5x + 14, and JB = 3x + 22, what is x and what is AB?
Given
Find x, if GC = 12x + 4 and CR = 5x + 20.
C R G

53. Quiz: Measuring Segments
How to find the midpoint and distance of a segment?
Quiz: Measuring Segments
No talking during quiz
When finish,
Complete Segment Addition Crossword (Bonus on Quiz or Test)
Complete Chp 1 pt 1 Review

54. Chapter 1 pt. 1 Review VOCABULARY ANALYZE TRANSFORMATION FIGURES
Review each concept for test
Use slips as a study guide
Rotations every 5 minutes
SEGMENT ADDITION
POSTULATE
Symmetry
MIDPOINT
DISTANCE

55. Use the distance formula to find the perimeter of figure
1st: name all 3 coordinates

56. 1.7 Transformation in the Coordinate Plane 9.5 Symmetry
Notes: PowerPoints
Practice p. 52 Think & Discuss # 2 p.53 #3-6
Practice p. 637 #3 - 8

57. Chapter 1 pt. 1 Review VOCABULARY ANALYZE TRANSFORMATION FIGURES
Review each concept for test
Use slips as a study guide
Test Friday
SEGMENT ADDITION
POSTULATE
Symmetry
MIDPOINT
DISTANCE

58. Chapter Test (Skip 1.3 – 4)
Define Vocabulary, Sketch a picture, and Draw a real world picture
Collinear and Coplanar
Describe points, lines, and planes given a figure
Measuring Segments: Midpoint & Distance on a number line and given a pair of coordinates

59. Chapter Test (Skip 1.3 – 4)
Identify and graph reflections, rotations, and translations
Symmetry: line of symmetry, rotational symmetry, & plane symmetry

60. Warm-Up: 2. Use the distance formula to find the perimeter of figure.
1st: name all 4 coordinates
Warm-Up:
1. M is the midpoint of AB. A has coordinates (2, 2), and M has coordinates (4, -3). Find the coordinate B.

61. Chapter 1 pt. 1 Review VOCABULARY ANALYZE TRANSFORMATION FIGURES
Review each concept for test
Use slips as a study guide
Test Today
SEGMENT ADDITION
POSTULATE
Symmetry
MIDPOINT
DISTANCE

62. Part 1: VOCABULARY
For each term, write two descriptions, sketch it, and give a real world example
TERM
DEFINITION
SKETCH
REAL WORLD
EXAMPLE
POINT 1. 2.
LINE 2
SEGMENT
RAY
PLANE

63. Part 2: Analyze Figure
Using the figure provided at the right, answer to the following.
Are points D, C, and B collinear? __________
Are points G, D, A, and F coplanar? __________
How many planes contain A? _________
Where do plane P and plane R intersect? ________
Name four noncoplanar points. ________
Write another name for plane P. ________

64. Part 3: Segment Addition Postulate
If B is between endpoints A and C, complete the following tasks.
1. Draw the diagram to represent the situation.
2. Write the expression to represent the situation.
(What the Segment Addition Postulate would say.) _____________ = _______
3. If AB = 15 and BC = 12, find AC. _______
4. If BC = 13.4 and AC = 32, find AB. _______
5. If AC = 4x + 56, BC = 22x and AB = 20, find AC. ______

65. Part 4: Distance 1. Which segment is congruent to segment BH? ___
A B E H I D
Part 4: Distance
Refer to the number line below to answer Questions 1 & 2.
1. Which segment is congruent to segment BH? ___
2. Find the distance of segment BD. _________
Find the distance between each pair of points using the distance formula
3. L (11, 12) and N (8, 3) Distance: ________
Distance: ________

66. A B E H I D
Part 5: Midpoint
Refer to the number line below to answer Questions 1 & 2.
1. What is the coordinate of the midpoint of segment HI? _________
2. If the midpoint of segment HC is B, what is the coordinate of C? (No, C is not on the graph. You have to figure out where it would be if it were.)
Find the distance between each pair of points using the distance formula
3. L (11, 12) and N (8, 3) Midpoint: ________
Midpoint: ________

67. Part 6: Transformations
Describe each transformation. Explain.

68. Part 6: Transformations
4. A figure has vertices at X(3, -3), Y(1, -2), and Z(3, 0). After a transformation, the image of the figure has vertices at X¢(-3, -3), Y¢(-1, -2), and Z¢(-3, 0). Draw the preimage and the image. Then identify the transformation. _______________
5. . Draw and label the image of STUV after the translation of 5 units up.

69. Part 7: Symmetry
Tell whether each figure has line symmetry. If so, draw all lines of symmetry Anna, Bob, and Otto write their names in capital letters. Draw all lines of symmetry for each whole name if possible. Tell whether each figure has rotational symmetry. If so, give the angle of rotational symmetry and the order of the symmetry

70. Chapter Test (Skip 1.3 – 4)
Define Vocabulary, Sketch a picture, and Draw a real world picture
Collinear and Coplanar
Describe points, lines, and planes given a figure
Measuring Segments: Midpoint & Distance on a number line and given a pair of coordinates

71. Chapter Test (Skip 1.3 – 4)
Identify and graph reflections, rotations, and translations
Symmetry: line of symmetry, rotational symmetry, & plane symmetry

72. Any last minute questions before test….?!?!?
GOOD LUCK!
DON’T FORGET TO DRAW FIGURE, if needed
No talking during test
D= M=
When finish, read Chapter and complete graphic organizer Exploring Angles.

73. Distance
Midpoint
BONUS: find the perimeter