Introduction to Trigonometry

Jimmy Bui5th Grade SEIHorace Mann Elementary

The Path…

Grab a coin!Now flip it.Select the button below accordingly

Tails

Heads

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

6cm

8cm

? Click here when you are ready

to start drawing.

Make it Work!I want you to write these numbers and symbols down. On a piece of paper.

6cm

8cm

?8

6+= x

√*If there is a symbol there that you don’t know click on it

Your Challenge

8

6+= x

√

Your challenge is to make these numbers come up with the following solution: (You can use a calculator)

= 10

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 LookThis 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 LookThe 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.

120

70

Look Even CloserIs there anything that stands out to you?

120

70That’s right, you could make a straight line… but something else is missing…

HmmmWell I could do two hits like everyone else or I could go for this new shot in one hit.

120

70Now 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.

Using a rulerMeasuring for the missing side

If you had heads you measured this out and found the missing side is 10.

6cm

8cm

10cm

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:

6cm

8cm

10cm

6 x 6 = 368 x 8 = 64

36 + 64 = 100√100 = 10

Another way to say this is…

62 + 82 = √100

Now go back to this!What do you think Nicole?

120

70What do you say we should do?

Draw it?

Or Calculate it?

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…

3m

4m

3in

4in

3cm

4cm

4mm3mm

Move your mouse over the odd one.

One of these things is odd…

3m

4m

3in

4in

3cm

4cm

4mm5mm

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.

Apply some knowledge

4mm3mm What do you think you

would need to do or know in order to find the bottom number?

?

Apply some knowledge

4mm3mm 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.

?

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

4

4

7

2

5

4

10

11

11

10

1

2

10

4

25

10

3.5

4.5

The letters match

A P T Y N E

14.87 5 7.28 5.66 4.44 3.14

U J L B C I

16.22 4 5.35 11.79 11.77 7

R O M G S H

12.25 10.77 6.52 2.24 5.14 6.40

Search that name…

Click on the image to open up the browser.

Congratulations

You recreated Pythagoras’ Theorem

Introduction to Trigonometry

Trigonometry is 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…