Use your graphing calculator to solve each equation. Math 1 Warm Up Use your graphing calculator to solve each equation. 2x + 5 = -x – 4 4x – 10 = 2x -5.4(2x + 5) = 1.8(6 + 3x) 3x – 8 = -6 + x 4 – 7x = x + 4 5x – 𝟏 𝟐 = 4x + 𝟑 𝟒 5(x + 1) = x + 2 -9 + 𝟐 𝟑 x = -3(x – 6) 8x + 5 = -(2x + 8) – 12

Questions?

Parallelogram Rectangle Journal Entry Using the following vocabulary, create a story using at least 5 sentences. Be creative! Pythagorean rhombus Distance trapezoid Midpoint isosceles Coordinate kite Endpoint square Parallelogram Rectangle

Pythagorean Theorem, Distance, and Midpoint Objective: To learn to solve problems using the Pythagorean Theorem, identify right triangles using its converse, and find the distance & midpoint between two points on a coordinate plane. Leg 1 Leg 2 Hypotenuse

Pythagorean Theorem c 𝒂 𝟐 + 𝒃 𝟐 =𝒄 𝟐 a b “In any right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.” a b c 𝒂 𝟐 + 𝒃 𝟐 =𝒄 𝟐

Find the length of a missing side. x 8 m 15 m

Find the length of a missing side. x

Find the length of a missing side. 24 mm x 32 mm

Find the length of a missing side. 16 ft x 30 ft

Apply! A toy fire truck is positioned so that the base of the ladder is 13 cm from a wall. The ladder extended 28 cm to the wall. How high above the table is the top of the ladder?

Right Triangle? Right triangle if: Acute Triangle if: Obtuse Triangle if:

Determine whether the given lengths form a right triangle. Examples Determine whether the given lengths form a right triangle. 10 cm, 24 cm, 26 cm 5 in, 5 in, 7 in 7 m, 12 m, 9 m 13 ft, 12 ft, 5 ft

http://www.math-play.com/Pythagorean-Theorem-Jeopardy/Pythagorean-Theorem-Jeopardy.html

Page 597 #s 48-53 (mixed review) #s 5-9 ( checkpoint quiz) Extra practice Page 597 #s 48-53 (mixed review) #s 5-9 ( checkpoint quiz)

Warm up Workbook page 148 #4, 12, 16, 17, 24, 30, and 39

Distance in a Coordinate Plane Find the distance between the two points

Distance in a Coordinate Plane Find the distance between points T and V.

Distance in a Coordinate Plane Using the distance formula, find the distance between the points to the nearest tenth. L(10, 14), M(-8, 12) C(5, 2), D(-4, -1) R(0, 5), S(12, 3)

 

Warm Up Workbook page 150 #’s 19-24 Have homework out!

Practice Page 630 #s 16-25

Practice Workbook Page 150 #25-30 Warm Up Practice Workbook Page 150 #25-30

Midpoint in a Coordinate Plane Find the midpoint between points T and V.

Midpoint in a Coordinate Plane Using the midpoint formula, find the midpoint between the two points. L(10, 14), M(-8, 12) C(5, 2), D(-4, -1) R(0, 5), S(12, 3)

A circle is drawn on a coordinate plane A circle is drawn on a coordinate plane. The endpoints of the diameter are (-1,5) and (4, -3). What is the center of the circle?

Warm Up Workbook page 150 #’s 1-6, 39 and 40 11.1-11.3 Quiz tomorrow!!!

Quiz Warm Up QUIZ TODAY!!! In the workbook: Page 148 #14-18; 33, 41

Assignment In the textbook… pp. 594-595 # 1 – 18, 30, 31

Coordinate Plane Review

Warm Up In the Practice Workbook… Practice 11-2 (p. 148) #1, 2, 6, 7, 9, 10, 15, 18, 19, 23, 39, 40, 42, 43