Friday Warm Up Simplify the following expressions: 1. 7 2 2. 15 2 3. 324 4. 9

Homework

8 + 6 × = ? 𝑐𝑚 6 𝑐𝑚 8 𝑐𝑚 𝐴𝑛𝑠𝑤𝑒𝑟: 10

Hole 𝟑 𝒌𝒎 Par 5 𝟒 𝒌𝒎 Tee

8 + 6 × = 𝐴𝑛𝑠𝑤𝑒𝑟: 10 10 𝑐𝑚 ? 𝑐𝑚 6 𝑐𝑚 8 𝑐𝑚 6×6=36 8×8=64 36+64=100 100 =10

Hole 𝟑 𝒌𝒎 Par 5 𝟓 𝒌𝒎 𝟒 𝒌𝒎 Tee

𝟕𝟒 𝒊𝒏𝒄𝒉𝒆𝒔 𝟐𝟒 𝒊𝒏𝒄𝒉𝒆𝒔 𝟕𝟎 𝒊𝒏𝒄𝒉𝒆𝒔

How would you solve it? 𝟖 ? ? ? 𝟑 𝟒 𝟔 𝟏 𝟐 𝟏𝟎 𝟗 𝟕 ? ? ? 𝟗 𝟕 𝟓 𝟔 𝟒 𝟓 𝟓 𝟑 𝟒

𝟔𝟎𝟎 𝒇𝒆𝒆𝒕 𝟖𝟎𝟎 𝒇𝒆𝒆𝒕

Now Solve 𝟖 ? ? ? 𝟑 𝟓 𝟏𝟐 𝟏 𝟐 𝟏𝟓 𝟗 𝟏𝟐 ? ? ? 𝟖 𝟐𝟒 𝟒 𝟔 𝟒 𝟓 𝟏𝟎 𝟑 𝟔

Exit Ticket What is the value of the missing side in the triangle shown below? Show how you determined your answer. 𝟐𝟎 𝒄𝒎 ? 𝒄𝒎 𝟏𝟐 𝒄𝒎 𝟏𝟔 𝒄𝒎

Warm Up What is the value of the missing side in the triangle shown below? Show how you determined your answer. 𝟐𝟎 𝒄𝒎 ? 𝒄𝒎 𝟏𝟐 𝒄𝒎 𝟏𝟔 𝒄𝒎

Unit 4: But First: Vocabulary Hypotenuse Leg Leg Leg: Hypotenuse: Sides of the triangle that form the right angle Hypotenuse: The side of a right triangle that is opposite the right angle Hypotenuse Leg Leg

Vocabulary Leg Hypotenuse

Now Solve 𝟖 ? ? ? 𝟑 𝟓 𝟏𝟐 𝟏 𝟐 𝟏𝟓 𝟗 𝟏𝟐

Unit 4: Pythagorean Theorem Hypotenuse Leg *Only works in a right triangle!* 𝑳𝒆𝒈 𝟐 + 𝑳𝒆𝒈 𝟐 = 𝑯𝒚𝒑𝒐𝒕𝒆𝒏𝒖𝒔𝒆 𝟐

Let’s Prove It! Group Work Expectations On task discussions Listening and sharing ideas Making sure all members understand Appropriate volume Groupings Vine Partners

So How Do We Prove It? 𝑳𝒆𝒈 𝟐 + 𝑳𝒆𝒈 𝟐 = 𝑯𝒚𝒑𝒐𝒕𝒆𝒏𝒖𝒔𝒆 𝟐 𝟓 𝑺𝒕𝒂𝒓𝒃𝒖𝒓𝒔𝒕 𝟑 𝑺𝒕𝒂𝒓𝒃𝒖𝒓𝒔𝒕 𝟒 𝑺𝒕𝒂𝒓𝒃𝒖𝒓𝒔𝒕

What About This One? 𝑳𝒆𝒈 𝟐 + 𝑳𝒆𝒈 𝟐 = 𝑯𝒚𝒑𝒐𝒕𝒆𝒏𝒖𝒔𝒆 𝟐 𝟒 𝑺𝒕𝒂𝒓𝒃𝒖𝒓𝒔𝒕 𝟐 𝑺𝒕𝒂𝒓𝒃𝒖𝒓𝒔𝒕 𝟑 𝑺𝒕𝒂𝒓𝒃𝒖𝒓𝒔𝒕

Come Together Now 𝑳𝒆𝒈 𝟐 + 𝑳𝒆𝒈 𝟐 = 𝑯𝒚𝒑𝒐𝒕𝒆𝒏𝒖𝒔𝒆 𝟐 𝟕 𝑺𝒕𝒂𝒓𝒃𝒖𝒓𝒔𝒕 𝟓 𝑺𝒕𝒂𝒓𝒃𝒖𝒓𝒔𝒕 𝟒 𝑺𝒕𝒂𝒓𝒃𝒖𝒓𝒔𝒕 𝟓 𝑺𝒕𝒂𝒓𝒃𝒖𝒓𝒔𝒕

So What Does It Mean? Another Way To Look at It 𝒄 𝒂 𝒃 𝒂 𝟐 + 𝒃 𝟐 = 𝒄 𝟐

Try Some 𝒂 𝟐 + 𝒃 𝟐 = 𝒄 𝟐 𝟏𝟐 ? ? 𝟒 𝟑 𝟓

Baseball Diamond Cameron is a catcher trying out for the school baseball team. He has played baseball in the community and is able to easily throw the ball from home plate to second base to throw out a runner trying to steal second base.

However, the school baseball diamond is a regulation size field and larger than the field he is accustomed to. Will he be able to consistently throw out runners trying to steal second if he is able to throw the baseball 130 feet?

Put it Together Leg Hypotenuse Leg

Will he be able to consistently throw out runners trying to steal second if he is able to throw the baseball 130 feet?

Tuesday Warm Up ? 𝑦𝑎𝑟𝑑𝑠 10 𝑦𝑎𝑟𝑑𝑠 24 𝑦𝑎𝑟𝑑𝑠 𝟐𝟔 𝒚𝒂𝒓𝒅𝒔 Determine the length of the missing side in the situation below. 𝟐𝟔 𝒚𝒂𝒓𝒅𝒔 ? 𝑦𝑎𝑟𝑑𝑠 10 𝑦𝑎𝑟𝑑𝑠 24 𝑦𝑎𝑟𝑑𝑠

Homework

Try Some 𝒂 𝟐 + 𝒃 𝟐 = 𝒄 𝟐 𝟖 ? ? 𝟏𝟓 𝟖 𝟔

Note sheet

Practice 6 problems Independent work 9 minutes

A scuba diver dove 14 feet below the surface A scuba diver dove 14 feet below the surface. Then, he swam 16 feet toward a coral formation. How far is the diver from his boat?

A soccer field is a rectangle 90 meters wide and 120 meters long A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

Neil is 4. 3 feet tall and the length of his shadow is 3. 2 feet Neil is 4.3 feet tall and the length of his shadow is 3.2 feet. Find the distance from the top of Neil’s head to the head of his shadow. Numero 1

A car leaves home for a road trip to visit grandma A car leaves home for a road trip to visit grandma. The car first drives 50 miles east and then 40 miles due north. How far grandma's house from home? Numero 2

A telephone pole is 17 feet tall A telephone pole is 17 feet tall. The wire that runs into the ground to connect to a house is 8 feet away from the base of the pole. How long is the wire that runs into the ground? Numero 3

A diver is 9 feet away from a buoy when he sees a starfish directly underneath the buoy. If the starfish is 12 feet under the buoy, how far will the diver need to swim to reach the starfish? Numero 4

Exit Ticket Draw a picture to represent the situation. Then, solve for the missing side. A spider leaves his hole in the wall and travels 8 meters along the floor, then turns 90° east and continues 6 more meters. At this point, he wants to return to his hole in the wall so he does not get squished. How far must he travel to avoid getting squished? 𝟏𝟎 𝒎𝒆𝒕𝒆𝒓𝒔

Warm Up Solve the following problem by drawing a picture to aid in understanding. Use the Pythagorean Theorem to solve for the missing hypotenuse. One end of a ladder is four feet from the base of a wall. The ladder touches the wall 10 feet up. How long is the ladder? 10.77 𝑓𝑒𝑒𝑡

Homework

Use paper clips to create triangles having the given side lengths Use paper clips to create triangles having the given side lengths. Use a corner of a notecard to test the largest angle of each triangle for a right angle and predict whether or not the given triangles are right triangles. Draw and label a sketch of each triangle formed.

How can we tell if a triangle is a right triangle?

Right Triangle or Naw? Determine if each of the following triangles are right triangles. Use mathematics to justify your answer.

Exit Ticket Is the following triangle a right triangle? Justify your answer using mathematics. 𝟗 𝒄𝒎 𝟏𝟖 𝒄𝒎 𝟐𝟎 𝒄𝒎