Trigonometry Unit Of Measurement Ii Interactive Notebook Pages

Hi guys. I am in addition to hence behind inwards posting materials from this schoolhouse year. So, so, soooooooo behind.

Here's what Unit two ended upward looking similar inwards my trig class. I posted Unit 1 dorsum inwards September. Unit 1 was mainly a review of algebra in addition to geometry. Unit two was the get down of actual trigonometry! Yay!

Our geometry standards include basic correct triangle trig, but I've institute that my students' sense alongside this topic is greatly lacking. They recall learning SOHCAHTOA, but they never truly did know what they were doing. It's been in addition to hence fun to instruct them trig from the commencement in addition to encounter the low-cal bulbs get down to become off. "Oh, this is what nosotros were supposed to produce inwards geometry! Why didn't they e'er tell us it was this simple?!?"

Before I introduced my students to the basic trig ratios, I wanted to brand certain nosotros were all on the same page when it came to naming the parts of a correct triangle. My students had a difficult fourth dimension wrapping their minds about the divergence betwixt the side past times side side in addition to the contrary side for some reason.

We made a elementary three-door foldable alongside the formulas for sine, cosine, in addition to tangent.

Inside the flaps:

My students referenced this foldable Influenza A virus subtype H5N1 LOT! In fact, they're all the same referencing during our unit of measurement on the unit of measurement circle.

Thanks to Meg, I learned near the vocal Gettin' Triggy Wit It past times WSHS on YouTube.

If y'all haven't seen this video, halt everything in addition to sentry it now. I'll fifty-fifty move overnice in addition to embed it for you. :)

My students enjoyed the video the foremost fourth dimension nosotros watched it, but they had a difficult fourth dimension agreement a few of the lyrics. So, I printed the lyrics off for them the following solar daytime to mucilage inwards their interactive notebooks. In the future, I would impress these off in addition to receive got students depict instance problems on the newspaper every bit they watched it.

The page unfolds to demonstrate the residue of the lyrics.

One of my students champaign got inwards problem past times the cheerleading bus for dancing similar the students inwards the video. She was told that the trip the low-cal fantastic moves were inappropriate... Of class she threw me nether the double-decker in addition to said "Well my math instructor taught it to me."

Now that nosotros knew how to notice the basic trig ratios, it was fourth dimension to get down thinking near radians.

I don't e'er recall truly learning what a radian was when I took trig inwards high school. I'm certain my instructor told me, but I approximate it didn't truly stick. We're going to move dealing alongside radians a lot, in addition to I decided I didn't desire my students to flip out every fourth dimension radians were mentioned.

Naturally, I turned to google. Let's only tell I am a frequent google user. Some people inwards town refer to me every bit "Google Girl" because I purpose google in addition to hence much. :)

SEARCH: "What is a radian?"

I chop-chop institute a great uncovering action that involved circles in addition to pipage cleaners in addition to tracing in addition to cutting in addition to folding newspaper in addition to basically everything I dear in addition to adore inwards life.

I would link y'all to the actual action I used, but I truly ended upward combining what I liked from v or vi unlike resources.

Step 1: Raid your kitchen cabinets for every round down lid y'all tin find.

Step 2: Instruct each pupil to alternative a lid when they move into the classroom.

Step 3: Trace your lid onto colored paper.

Step 4: Cut out the circle. Fold it inwards fourths to notice the center.

Step 5: Mark the middle of the circle.

Step 6: Cut a pipage cleaner the same length every bit the radius of the circle.

Apparently, pipage cleaners are right away called "fuzzy sticks." What is upward alongside that?!?

Step 7: Draw inwards the radius on the circle. Line upward the pipage cleaner alongside the border of the radius.

Step 8: Start wrapping the pipage cleaner about the circumference in addition to mark where it stops.

Step 9: Divide the circle into sections based on your markings.

If students receive got attended to precision, They should goal upward alongside 6 equal sized sections plus a tiny left over section.

Glue the circle inwards your notebook.

Define a radian every bit the angle that has an arc length equal to the radius of the circle.

I wasn't planning on this, but my students decided nosotros needed to mucilage our pipage cleaners to the radius. They turned out looking pretty cool!

We wrote inwards the Definition of a radian.

Then, nosotros laid near figuring out only how many degrees are inwards a radian. If at that topographic point were only the vi equal sized sections, how many degrees would a radian be? 360 degrees divided past times 6 is lx degrees. But, at that topographic point are vi sections AND a piffling section, in addition to hence each department must move less than lx degrees.

We decided to develop a proportion to determine only how many degrees are inwards a radian. Okay. Let's move honest. It was my thought to produce this, non my students' idea. But, they did become along alongside it, in addition to hence I approximate it all the same counts. At least, that's what I'm telling myself. ;)

Before nosotros could develop a proportion involving radians, nosotros needed to review the formula for circumference of a circle. When I asked my trig students for the formula for circumference, they gave me the formula for expanse of a circle. They told me that "pi r squared" was the solely circle formula that they knew... #sigh

When looking for data online regarding instruction radians, I ran across a vocal to sing that features the formula for circumference of a circle. There's only something near vocal that helps me recall things. And, I assume that some of my students are similar that, too. They decided nosotros should write the lyrics for the circumference vocal inwards our notebooks. It's a elementary vocal laid to the melody of Twinkle, Twinkle Little Star: "Twinkle, Twinkle Little Star. Circumference equals two pi r." Isn't that the most brilliant matter you've e'er heard inwards your life?!?

They remembered from geometry in addition to our geometry review before inwards the twelvemonth that a circle is equivalent to 360 degrees. And, the circumference of a circle is 2*pi*r. We eventually institute that a radian is only about 57.296 degrees.

I'm hoping that this action helps my students to never fright when the intelligence radian appears.

After learning what a radian was, it was fourth dimension to acquire how to convert betwixt radians in addition to degrees. We made a much-referenced foldable over this.

Outside of Radians to Degrees in addition to Degrees to Radians Foldable:

Inside of Foldable:

Close upward of radians to degrees notes/examples:

Close upward of degrees to radians notes/examples:

The following page is i of my favorites. If I'm I may receive got created this page inwards guild to receive got an excuse to purpose a brad inwards our notebooks. Does that audio similar a crazy matter to do? It likely is. It's definitely a long story...

I had students cutting out the initial side in addition to terminal side for their angle out of card stock. The initial side was glued downward on the x-axis. The terminal side of the angle was attached to the newspaper alongside a brad. Apparently, these are called "paper fasteners" inwards other countries.

Once students had constructed their handy, dandy, spinny angle page, I asked each pupil to motion their terminal side to cast a 45 grade angle. Then, I instructed them to accept a expect at the angle formed past times their neighbor. They shortly realized that some students had made their 45 grade angle inwards the foremost quadrant, in addition to others had made their angles inwards the 4th quadrant. This led to an awesome discussion.

We added notes to our page regarding how to graph positive/negative angles.

I had the brilliant thought to brand a bill of fare sort for my students over coterminal angles. They were going to write the Definition of coterminal angles. Then, I was going to give them a page alongside all kinds of angle measures. They would sort them into groups that were coterminal alongside i another. Then, they would accept a blank foursquare in addition to write an additional angle that was coterminal alongside the other angles inwards the group.

This. Did. Not. Go. Well.

And, I'm non truly certain why.

Next up, some pretty ho-hum notes near reference angles. Sorry, cipher exciting on this page.

I stole the bowtie thought off of pinterest.

The final criterion for students inwards this unit of measurement was to move able to notice the trig ratio of angles formed past times diverse ordered pairs.

I intend I could receive got done a amend project of writing out these steps. Maybe following fourth dimension I instruct trig I volition brand these steps clearer...

We took a slice of graph newspaper in addition to folded it into a poof book. This allow us check iii practise problems onto our page. I allow students alternative ordered pairs for the cast to move with. I would take away the quadrant, in addition to students could alternative whatsoever ordered duo inwards that quadrant. This prevented all of our examples from existence inwards the foremost quadrant.

First Quadrant Example:

Second Quadrant Example:

Third Quadrant Example:

Want to download the files from this unit? Click here.