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How do we do these problems?. Geo Date: 9/17/2014 SWBAT understand that using mathematical form can...

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How do we do these problems?
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Page 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.

How do we do these problems?

Page 2: 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.

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 pointsBell 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 backGo over

Announcements: Math Team 1st meeting Wednesday

• Tutoring: Tues. 3-4

What’s up with the

Education is Power!

Page 3: 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.

Geo Date: 9/18/2014 SWBAT understand that using mathematical form can be used to model real life data. Global Context: Science and Technical InnovationObjective: SWBAT find the midpoint between pointsBell Ringer:Find AB

HW Requests: Go over Distance WS Skills PracticeHW: : Complete Midpoint WSAnnouncements: Last day to take quiz from last Friday isNext Wednesday.Tutoring: Tues. 3-4; Math Team Meets Wednesday

To get ahead,You have to do extra!

Page 4: 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.

Midpoint: point halfway between the endpoints of the segment.

Midpoint measure on the number line

Midpoint measure in a coordinate plane

Page 5: 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.

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

Page 6: 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.

Complete odd problems on worksheet

Page 7: 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.
Page 8: 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.

http://www.mathsisfun.com/geometry/construct-linebisect.html

Page 9: 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.

Homework Quiz Section 1.3 Betweeness

Replaced see folder

Page 10: 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.

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?

Page 11: 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.

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

Page 12: 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.

Go to graph

Exit Ticket: Complete selected problems

Page 13: 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.
Page 14: 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.

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Page 15: 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.

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 substituteinto the formula

Page 16: 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.

Geometry Date: 8/22/2012 Section 1.2 Objective: SWBAT measure segments. Bell Ringer:

Page 17: 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.

c. How do we find measurements using collinearity andbetweenness of points?

Betweeness of Points

For any real numbers, say a and b, there is a numberbetween a and b so that a<n<b. n is between a and bOnly works if points are collinear. d. What is congruence and how can we use congruence to find measurements?Congruent - 2 segments having the same measureSame shape, same measure

Page 18: 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.

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

Page 19: 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.

Geometry Date: 8/22/2012 Section 1.2 Objective: SWBAT measure segments. Bell Ringer:

Page 20: 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.
Page 21: 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.

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.

Page 22: 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.

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!!!!!

How do we show two line segments are congruent?

Page 23: 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.

Congruent - Same shape, same measure What are the congruent segments? How do we know they are congruent? How do we show they are congruent?

Page 24: 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.

c. How do we find measurements using collinearity andbetweenness of points?

Betweeness of Points

For any real numbers, say a and b, there is a numberbetween a and b so that a<n<b. n is between a and bOnly works if points are collinear. See examples

Guided practice pg HW: pg 18-19, problems 10-26 odds, 14, 16

Page 25: 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.

Guided practice pg 18 #1-8HW: pg 18-19, problems 10-26 odds, 14, 16

Page 26: 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.
Page 27: 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.

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 andbetweenness 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

Page 28: 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.
Page 29: 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.

Get into groups of two Group it Up!Materials: 2 toothpicks, index card, pen or pencil, tape.Write header info on your index card. Include both names.

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?

Page 30: 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.

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 andbetweenness 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


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