Introduction to Trigonometry

Introduction to Trigonometry Jimmy Bui 5th Grade SEI Horace Mann Elementary

The Path… • Grab a coin! • Now flip it. • Select the button below accordingly Heads Tails

Using a rulerMeasuring for the missing side • Below is a right triangle, I want you draw out on a piece of paper the triangle and measure the length of the missing side ? Click here when you are ready to start drawing. 6cm 8cm

Make it Work! I want you to write these numbers and symbols down. On a piece of paper. 8 x = ? 6cm + 6 √ 8cm *If there is a symbol there that you don’t know click on it

Your Challenge Your challenge is to make these numbers come up with the following solution: (You can use a calculator) = 10 8 x = + 6 √ Click here when you are ready to start this.

Two minutes You only got two minutes to finish the task! Click to start the timer!

Put that away for a bit… I want you to think about a sport that is well known in the U.S. Golf!

Take a Look This is an actual golf hole. You start at the bottom where the star is and try to hit it to the flag at the top in 4 hits or less.

Take a Look The most common route is displayed to on the map. Also displayed is the distance. Remember the object of golf is to hit to the target in the least amount of shots. 70 120

Look Even Closer Is there anything that stands out to you? 70 That’s right, you could make a straight line… but something else is missing… 120

Hmmm Well I could do two hits like everyone else or I could go for this new shot in one hit. 70 Now go back to what you were doing before at the beginning of this lesson. I want you to compare what you did there with what you see here. 120

Using a rulerMeasuring for the missing side • If you had heads you measured this out and found the missing side is 10. 10cm 6cm 8cm

Numbers and symbolsWhat was it? • If you had tails you would have eventually (or did!) found out that to get 10 you do the following: 6 x 6 = 36 8 x 8 = 64 36 + 64 = 100 √100 = 10 10cm 6cm Another way to say this is… 62 + 82 = √100 8cm

Now go back to this! What do you think Nicole? 70 What do you say we should do? Draw it? Or Calculate it? 120

Check your answer: 138.92 I’m guessing you didn’t draw it. Why? Write the reason down.

What’s the rule? Write down the rule in your notebook.

One of these things is odd… Move your mouse over the odd one. 3m 3cm 4m 4cm 3mm 4mm 4in 3in

One of these things is odd… 3m 3cm That is correct. You see all the other ones are similar because the numbers are next to the right angle. The bottom right is different because if you were to square the numbers, add it, and square root the answer, you would get the wrong solution. 4m 4cm 5mm 4mm 4in 3in

Apply some knowledge What do you think you would need to do or know in order to find the bottom number? 3mm 4mm ?

Apply some knowledge Now remember the golf scenario. The difference between this and the other types is your solution. The wrong solution will have the ball going into the water. The right one will head to the hole. 3mm 4mm ?

Now solve a crime… There has been a crime recently. And the name of the suspect has been written down on a wall as a code in the following sequence…

Copy the 10 triangles down… 3 4 7 4 4 2 10 10 5 1 4 11 4 2 25 11 3.5 10 10 4.5

The letters match

Search that name… Click on the image to open up the browser.

Congratulations You recreated Pythagoras’ Theorem

Introduction to Trigonometry Trigonometryis all about triangles. We use it quite often in real life!

Homework By the end of this week, I want you to use piktochart.com to advertise about my friend Pythagoras and his involvement in trigonometry! Don’t forget to add that rule you created as well…

Introduction to Trigonometry