Introduction to Trigonometry

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# Introduction to Trigonometry - PowerPoint PPT Presentation

Introduction to Trigonometry. Jimmy Bui 5 th Grade SEI Horace Mann Elementary. The Path…. Grab a coin! Now flip it. Select the button below accordingly. Heads. Tails. Using a ruler Measuring for the missing side.

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### Introduction to Trigonometry

Jimmy Bui

Horace Mann Elementary

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

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

?

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

= 10

8

x

=

+

6

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

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

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…