The Four Seasons - December, 1963 (Oh, What a Night) https://www.youtube.com/watch?v=V5avtHEFVvs Elementary Algebra Lesson 9: Rate of Work https://www.youtube.com/watch?v=VJLzSts-PeI Get The Math http://www.thirteen.org/get-the-math/

Ingredients 1 ½ cups each of Corn, Wheat, & Rice Chex 1 1/4 cups  Pretzel Sticks 1 1/4 cups Mixed Nuts 1 ½ Sticks Butter 3 Tablespoons Worcestershire Sauce 6 dashes Tabasco Sauce 3 cloves Garlic, Mashed 1 ½ teaspoon Lawry's Seasoned Salt 1/4 teaspoon Onion Powder

Chex Party Mix

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Objectives: Discover formula for finding the midpoint of a segment. Midpoint Conjecture Objectives: Discover formula for finding the midpoint of a segment.

Unit 6 – Coordinate Geometry Word Wall

Unit 5 Review

midpoint of a segment:. a point that divides the midpoint of a segment: a point that divides the segment into two equal halves (point right in the middle of the segment) 10 ft. 10 ft. “P” is the midpoint. P

You can calculate the midpoint on a coordinate plane as long as you know the coordinates of the endpoints!

Look at this segment…..can you guess the coordinates of the midpoint? X You will now learn the Midpoint Formula…remember your guess (above).

Steps for Finding Midpoint Y X

1. Label the endpoints as (x1,y1) and (x2,y2). (-4,2) (4,2) X (x1,y1) (x2,y2) So….x1=-4 y1=2 x2=4 y2=2

We are going to find the average of the x & y coordinates using…… (-4,2) (4,2) X

The Midpoint Formula …where (x1,y1) & (x2,y2) are coordinates of endpoint of segment.

2. Plug “x” & “y” values into the Midpoint Formula: (-4,2) (4,2) X (x1,y1) (x2,y2) So….x1=-4 y1=2 x2=4 y2=2

Plug the numbers into the formula: x1=-4 y1=2 x2=4 y2=2

Plug the numbers into the formula: x1=-4 y1=2 x2=4 y2=2

Plug the numbers into the formula: x1=-4 y1=2 x2=4 y2=2

Plug the numbers into the formula: x1=-4 y1=2 x2=4 y2=2

3. Simplify. = =

The coordinates of the midpoint are:

Plot the calculated midpoint….was this what you guessed earlier? X This is the midpoint!!!

Calculate the midpoint of the segment. (2,3) X (12,-7)

Plug the values into equation. (x1,y1) (x2,y2). (2,3) (12,-7) Plug the values into equation.

(x1,y1) (x2,y2). (2,3) (12,-7) Simplify.

(x1,y1) (x2,y2). (2,3) (12,-7) Simplify.

Plot the calculated midpoint. Y (2,3) X (12,-7)

Calculate the midpoint of the segment that has endpoints at (-17,8) and (-1,11).

The Distance Formula What is it? How do we use it? Click to Continue

The distance between two points, x1 and x2, The Distance Between any Two Points x1 x2 first point second point The distance between two points, x1 and x2, on a number line is: |x1 – x2| OR |x2 – x1| Click to Continue Click to Continue

The Distance Between any Two Points 0 14 first point second point 3 14 -3 14 -14 -12

We are looking for the distance represented by the red line. There are two values for each point (x, y). |x2 – x1| = |6 – 1| = 5 |y2 – y1| = |5 – 2| = 3 We are looking for the distance represented by the red line. Find the Distance between Points A and B. Click to Continue Click to Continue

Right Triangle c b 90º hypotenuse a legs Click to Continue Pythagorean Theorem c2 = a2 + b2 Click to Continue

Right Triangle c b = |5 – 2| = 3 a = |6 – 1| = 5 Pythagorean Theorem c2 = a2 + b2 Click to Continue

x B (x2, y2) y |y2 – y1| A (x1, y1) |x2 – x1| Click to Continue

Find the Distance between Points A and B. Distance Formula Click to Continue

Practice Time! Substitute Simplify. Square the numbers. Simplify Click to Continue

Practice: Given: Q (3, 8) and R (-4, 6) Find: the length of segment QR. Formula: Substitute: Simplify Parentheses: Square Numbers: Click to Continue Solution:

The End