Lesson Distance and Midpoints 1-3

Ohio Content Standards:

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

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

Distance Formula

Number Line

PQ ab Distance Formula Number Line

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

Distance Formula

Coordinate Plane

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

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

Midpoint

Number Line

PQ ab Midpoint Number Line

PQ ab Midpoint Number Line »

Midpoint

Coordinate Plane

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

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

Video Link: video/distance-and- midpoints-part http:// video/distance-and- midpoints-part

Use the number line to find QR.

RQ

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

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

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

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

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

Assignment: Pgs evens 58 – 62 all