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Lesson Distance and Midpoints 1-3. Ohio Content Standards:

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Presentation on theme: "Lesson Distance and Midpoints 1-3. Ohio Content Standards:"— Presentation transcript:

1 Lesson Distance and Midpoints 1-3

2 Ohio Content Standards:

3 Estimate, compute and solve problems involving scientific notation, square roots and numbers with integer exponents.

4 Ohio Content Standards: Apply order of operations to simplify expressions and perform computations involving integer exponents and radicals.

5 Distance Formula

6 Number Line

7 PQ ab Distance Formula Number Line

8 PQ ab Distance Formula Number Line »PQ = l b – a l or l a – b l

9 Distance Formula

10 Coordinate Plane

11 Distance Formula Coordinate Plane –The distance d between two points with coordinates (x 1, y 1 ) and (x 2, y 2 ) is given by

12 Coordinate Plane –The distance d between two points with coordinates (x 1, y 1 ) and (x 2, y 2 ) is given by Distance Formula

13 Use the number line to find QR.

14 RQ -8-7-6-5-4-30-2

15 Find the distance between E(-4, 1) and F(3, -1).

16 Midpoint

17 Number Line

18 PQ ab Midpoint Number Line

19 PQ ab Midpoint Number Line »

20 Midpoint

21 Coordinate Plane

22 Midpoint Coordinate Plane –The coordinates of the midpoint of a segment whose endpoints have coordinates (x 1, y 1 ) and (x 2, y 2 ) are

23 Midpoint Coordinate Plane –The coordinates of the midpoint of a segment whose endpoints have coordinates (x 1, y 1 ) and (x 2, y 2 ) are

24 The coordinates on a number line of J and K are -12 and 16, respectively. Find the coordinate of the midpoint of JK.

25 Find the coordinates of the midpoint of GH for G(8, -6) and H(-14, 12).

26 Find the coordinate of D if E(-6, 4) is the midpoint of DF and F has coordinates (-5, -3).

27 What is the measure of PR if Q is the midpoint of PR? P Q R 6 - 3x 14x + 2

28 Assignment: Pgs. 25 - 27 14 - 44 evens 58 - 68 evens


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