Transcript Slide 1

How do we do these problems?
Geo Date: 9/17/2014 SWBAT understand that using mathematical form can be used
to model real life data. Global Context: Science and Technical Innovation
Objective: SWBAT find the distance between points
Bell Ringer: Redo Ruler Quiz Grade Quiz.
Constructions – Copy a segment
HW Requests: Skills Practice/Practice Section 1.2/ Pg31 #1-31
Homework: Distance worksheet
(only distance problems) Front and back
Go over
What’s up with the
Announcements:
Math Team 1st meeting Wednesday
• Tutoring: Tues. 3-4
Education is Power!
Geo Date: 9/18/2014 SWBAT understand that using mathematical
form can be used to model real life data.
Global Context: Science and Technical Innovation
Objective: SWBAT find the midpoint between points
Bell Ringer:
Find AB
To get ahead,
You have to do extra!
HW Requests:
Go over
Distance WS
Skills Practice
HW: : Complete Midpoint WS
Announcements: Last day to take quiz from last Friday is
Next Wednesday.
Midpoint: point halfway between the endpoints of the segmen
Midpoint measure on the number line
Midpoint measure in a coordinate plane
Bisect: To cut into two equal parts
Segment bisector: Any segment, line, or plane that
intersects a segment at its midpoint.
The bisectors of AB if point M bisects AB
RM, point M, MD , Plane N
Complete odd problems on worksheet
http://www.mathsisfun.com/geometry/construct-linebisect.html
Homework Quiz Section 1.3 Betweeness
Replaced see folder
1. What is the measure between two points?
The distance between the two points.
2. How do we find the segment measure on the number line?
3. How do we find the segment measure in a coordinate plane?
Label the x’s and y’s and then substitute into the formula
Go to graph
Exit Ticket: Complete selected problems
c360ud78
Label the x’s and y’s and then substitute
into the formula
1. What is the measure between t
Geometry Date: 8/22/2012 Section 1.2
Objective: SWBAT measure segments.
Bell Ringer:
c. How do we find measurements using collinearity and
betweenness of points?
Betweeness of Points
For any real numbers, say a and b, there is a number
between a and b so that a<n<b. n is between a and b
Only works if points are collinear.
d. What is congruence and how can we use congruence to
find measurements?
Congruent - 2 segments having the same measure
Same shape, same measure
NE ≅ 𝑊𝑆
Congruent - Same shape, same measure
What are the congruent segments? How do we
know they are congruent? How do we show
they are congruent?
Old Book pg 17#22-32 evens
Geometry Date: 8/22/2012 Section 1.2
Objective: SWBAT measure segments.
Bell Ringer:
9/5/2013 Section 1.2
Objective: SWBAT measure segments.
Fundamental Questions:
a. What is a line segment? How do we label a line segment
and show its measure?
A part of a line that can be measured. It has two end points.
b. What are ways to measure a line segment? Why is it
important to consider precision in measuring?
To measure a line segment use a measuring device such as a
ruler or a compass (Construction). Precision deals with the
accuracy of measurements.
What is congruence and how can we use congruence to
find measurements?
Congruent - 2 segments having the same measure
Same shape, same measure
Stronger than equality!!!!!
NE ≅ 𝑊𝑆
How do we show two line segments are congruent?
Congruent - Same shape, same measure
What are the congruent segments? How do we
know they are congruent? How do we show
they are congruent?
c. How do we find measurements using collinearity and
betweenness of points?
Betweeness of Points
For any real numbers, say a and b, there is a number
between a and b so that a<n<b. n is between a and b
Only works if points are collinear.
See examples
Guided practice pg
HW: pg 18-19, problems 10-26 odds, 14, 16
Guided practice pg 18 #1-8
HW: pg 18-19, problems 10-26 odds, 14, 16
Bell Ringer: Go over pg 9-10, spiral #30-44 (evens);
Fundamental Questions:
a. What is a line segment?
b. How do we label a line segment?
c. What are ways to measure a line segment?
d. Why is it important to consider precision in measuring?
e. How do we find measurements using colinearity and
betweenness of points?
f. What is congruence and how can we use congruence to
find measurements?
Read through Ex. 1, 2, 4.
Examples- Guided practice 7-11
Get into groups of two
Materials: 2 toothpicks, index card, pen or pencil, tape.
Write header info on your index card. Include both names.
Group it Up!
Step 1: Mark 4 collinear points on one toothpick.
Step 2. Tape this toothpick to the index card. On the index card, label
the four points, A, B, C, D. Mark a noncollinear point P on the index card.
Step 3. The toothpick represents a part of a line. On the index card, how do we
show that the tooth pick is a line? How many points are on a line? Label the line
as line m.
Step 4. What is a name of the line? How many different names are there for this
line?
Step 5. The index card is the plane. Name and label a plane M on your index card.
How many points are needed to make a plane? What kind of points must they be?
Step 6. With your second toothpick? Mark two points on this toothpick. This
toothpick is called line n. One point is point G and the other is point H.
Step 7. Punch a hole in the index card with the toothpick so that the toothpicks
intersect at point B and point G. When two lines intersect, what do they form? Is
line n contained in plane M? Are point B and point H, collinear? Are point H and
point D collinear?
More questions?
Are points A, B, H and P coplanar? Why must we look at four points?
Bell Ringer: Go over pg 9-10, spiral #30-44 (evens);
Fundamental Questions:
a. What is a line segment?
b. How do we label a line segment?
c. What are ways to measure a line segment?
d. Why is it important to consider precision in measuring?
e. How do we find measurements using collinearity and
betweenness of points?
f. What is congruence and how can we use congruence to
find measurements?
Read through Ex. 1, 2, 4.
Examples- Guided practice 7-11