1. Day 1 agenda Return/go over chapter 4 test- 15 min Notes- 40 min Practice- 25 min Group assignment with graph paper Start homework- 10 min

2. Perimeters, Midpoints, and Parallel lines 1. Find the perimeter and midpoints of any triangle. 2. Identify parallel lines. Today’s goals By the end of class today, YOU should be able to…

3. The Distance Formula d = √(x 2 -x 1 ) 2 +(y 2 -y 1 ) 2 The distance, d, between any points with coordinates (x 1, y 1 ) and (x 2, y 2 ) can be found by using the distance formula.

4. Ex.1: Finding the distance between two points of a triangle Find the distance between the pair of points with the given coordinates: (4,12) (4,10)

5. Ex.1: Solution (4, 12) (4, 10) x 1 y 1 x 2 y 2 Label x & y values d = √(12-4) 2 +(10-4) 2 Plug values into distance formula: d = √(x 2 -x 1 ) 2 +(y 2 -y 1 ) 2 d = √(8) 2 +(6) 2 Solve for values inside the parentheses d = √64+36 = √100 Square 8 and 6, them add them together d = 10 Take the square root of 100

6. You try… Find the distance between the pair of points with the given coordinates: (7,7) (-5,-2) (-1,4) (1,4)

7. Review What is perimeter? The total distance around an object.

8. You try… finding the perimeter of a triangle Find the perimeter of a triangle with the given coordinates: (3,-5) (3,4) (0, 2) HINT: Use the distance formula

9. The Midpoint Formula M = ((x 1 +x 2 )⁄2, (y 1 +y 2 )⁄2) The middle point of a line segment is called the midpoint. It is equidistant from both endpoints.

10. Ex.2: Finding the midpoint of a line segment Find the midpoint of a line segment with the given coordinates: (7,8) (5,10)

11. Ex.2: Solution (7, 8) (5, 10) x 1 y 1 x 2 y 2 Label x & y values M = ((7+5)/2, (8+10)/2) Plug values into midpoint formula: M = ((x 1 +x 2 )⁄2, (y 1 +y 2 )⁄2) M = (12/2, 18/2) Solve for values inside the parentheses M =(6,9) Solve for x and y by dividing each value by 2

12. You try… Find the midpoints of the line segments with the given coordinates: 1. (3,4) (5,4) 2. (3,9) (-2,-3)

13. Review Parallel lines are two lines in a plane that never intersect or meet. The parallel symbol is ll. For example, AB ll CD indicates that line AB is parallel to line CD.

14. Practice Pair students up with their neighbors Give each pair 3 sheets of graph paper, and ask them to plot a triangle on each one (label all axes and points) Student may use rulers to draw their triangles, but not to find the perimeters or midpoints Have them switch graphs with another group, and find the perimeter and midpoints of each of the three triangles

15. Homework Pass out the following worksheet for students to begin when they finish with the practice assignment. Have them finish it for homework: http://teachers.olatheschools.com/fishelprealg ebra/files/2009/03/113-practice.pdf Have the students write a short reflection in their math journals on what topics they struggled with on the chapter 4 test and why.