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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