1 2 WARM UP Update TOC Update Data

1. 2. WARM UP Update TOC. Update Data Tracker (Green Tab) – Find your # in the chart below and fill in the bar graph for your Unit 1, Unit 2, & Unit 3 mastery. File # Unit 1 % Unit 2 % Unit 3 % 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 89 9 0 24 71. 5 11 28 4 59 24 7 0 39 53. 5 66 71 53 29 57 39 71 56 39 56 56 14 23 17 52 48 48 32 0 25 30 25 25 File # Unit 1 % Unit 2 % 18 7 47 Unit 3 % 0 19 72 80 91 20 - 70 37 21 28 67 45 22 0 - - 23 87 72 118. 5 24 7 - 10 25 0 0 - 26 0 33 0 27 - 0 10 28 46 53 92. 4 29 - - - 30 11 11 - 31 33 72 - ANNOUNCEMENTS -Pick up your assigned calculator -Pick up all materials from front desk

1. 2. WARM UP Update TOC. Update Data Tracker (Green Tab) – Find your # in the chart below and fill in the bar graph for your Unit 1, Unit 2, & Unit 3 mastery. File # 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Unit 1 % 26 43 57 78 28 0 63 89 72 28 30 35 28 20 37 Unit 2 % 41 32 51. 5 89 44 3 29 105. 5 44 41 47 41 12 56 Unit 3 % 57 45 43 53 0 40 100 87 25 55 27 33 45 13 File # 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 Unit 1 % 70 28 59 7 57 95 76 57 36 98 35 - Unit 2 % 71 71 47 0 64. 2 15 68 107 77 55 104 56 24 - Unit 3 % 40 45 40 13 10 45 30 25 92. 6 0 43 100 65 - ANNOUNCEMENTS -Pick up your assigned calculator -Pick up all materials from front desk

1. 2. WARM UP Update TOC. Update Data Tracker (Green Tab) – Find your # in the chart below and fill in the bar graph for your Unit 1, Unit 2, & Unit 3 mastery. ANNOUNCEMENTS -Pick up your assigned calculator -Pick up all materials from front desk

CRITICAL THINKING: FIND THE MIDPOINT OF EACH PAIR OF POINTS 1) (0, 0) & (6, 12) 2) (2, 4) & (6, 12) 3) (3, 6) & (6, 12) 4) (-3, -6) & (6, 12) 12 12 11 11 12 10 11 9 10 8 9 7 8 6 10 9 8 7 6 5 4 3 2 1 0 7 6 5 4 12 11 10 9 8 7 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -6

#1 Distance Formula & Midpoint Formula

Copy down in Formulas Tab (Purple tab) & Notes

Example 3: Find the midpoint of a line segment. Find the midpoint of the line segment joining (-6, 5) and (2, 3). Let (x 1, y 1) = (-6, 5) and (x 2, y 2) = (2, -3). = (-2, 1)

PRACTICE PROBLEMS 3. Find the midpoint of the line segment joining (-6, 5) and (1, 1). (-2. 5, 3) 4. Find endpoint C given endpoint A(- 5, 6) and midpoint B(3, 2).

BRAIN BREAK

Example 4: Find an endpoint given an endpoint and the midpoint Given endpoint A(-4, 1) and midpoint B(-1, 2). Find the coordinates for endpoint C. --Write an equation using the given endpoint and midpoint. (xm, ym) = (-1, 2) (x 1, y 1) = (-4, 1) (x 2, y 2) = endpoint C --Set up two equations, one for the x-coordinate and one for the y-coordinate. -2 = -4 + x 4=1+y 2=x 3=y C(2, 3)

PRACTICE PROBLEMS 3. Find the midpoint of the line segment joining (-6, 5) and (1, 1). 4. Find endpoint C given endpoint A(- 5, 6) and midpoint B(3, 2). (11, -2)

Copy down in Formulas Tab (Purple tab) & Notes

Example 1: Find the distance between two points Find the distance between (-5, -3) and (3, 6). Let (x 1, y 1) = (-5, -3) and (x 2, y 2) = (3, 6). 3 -5 6 -3

PRACTICE PROBLEMS 1. Find the distance between (-7, 3) and (5, -2). 13 2. The vertices of a triangle are T(2, 1), U(4, 6), and V(7, 3). Classify DTUV as scalene, isosceles, or equilateral.

Example 2: Classify a triangle using the distance formula. Classify DABC as scalene, isosceles, or equilateral. 5 REMEMBER! 0 sides equal Scalene ______ 2 sides equal Isosceles ______ 3 sides equal Equilateral ______

PRACTICE PROBLEMS 1. Find the distance between (-7, 3) and (5, -2). 2. The vertices of a triangle are T(2, 1), U(4, 6), and V(7, 3). Classify DTUV as scalene, isosceles, or equilateral. isosceles

BRAIN BREAK

Homework • #1 Distance & Midpoint Formula in HW Packet

Exit Ticket Use the triangles to the right to find the coordinates needed to solve the following: 1. Find the distance of DF. 2. Find the midpoint of SQ.