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Introduction to Trigonometry

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Introduction to Trigonometry

Jimmy Bui

5th Grade SEI

Horace Mann Elementary

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

Heads

Tails

- 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

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 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.

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

I want you to think about a sport that is well known in the U.S.

Golf!

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.

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

Is there anything that stands out to you?

70

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

120

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

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

10cm

6cm

8cm

- 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

What do you think Nicole?

70

What do you say we should do?

Draw it?

Or Calculate it?

120

138.92

I’m guessing you didn’t draw it. Why?

Write the reason down.

Write down the rule in your notebook.

Move your mouse over the odd one.

3m

3cm

4m

4cm

3mm

4mm

4in

3in

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

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

3mm

4mm

?

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

?

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…

3

4

7

4

4

2

10

10

5

1

4

11

4

2

25

11

3.5

10

10

4.5

Click on the image to open up the browser.

You recreated Pythagoras’ Theorem

Trigonometryis all about triangles.

We use it quite often in real life!

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…