Geometry

ANNOUNCEMENT!

ALL FUTURE LESSONS CAN NOW BE FOUND ON GOOGLE CLASSROOM.

CLASS CODE: 4o4es2y

After doing a test run this last week and getting some feedback from students (thank you!) I've decided to move my lessons to Google Classroom. Use the Class Code: 4o4es2y. I was hesitant to change platforms in the middle of the semester but it seems like many other teachers are on Google Classroom and students like having all their work in one place. I also like how it uses due dates and your calendar to keep everything organized. I hope this is not an inconvenience for anyone and helps to make our "distance learning" easier.

Monday, April 27th - Friday, May 1st

ATTENDANCE: Please visit the WHS homepage to sign in to attendance. Be sure to fill in the attendance form for each period at the appropriate time. The new distance learning schedule can be found on the WHS homepage here.

Objectives:

• Understand how to find sine, cosine, and tangent ratios in a right triangle.
• Use trigonometric ratios to solve for missing sides or angles of a right triangle.

Good morning everyone! This week we continue our unit on right triangles and we have reached one of the most important topics that we cover all year...trigonometry! I love trigonometry, it's applications and uses are endless, spanning many, many different areas of mathematics. But in Geometry we will start with the basics. Trigonometry sounds scary, but it's really just about ratios. Ratios of the side lengths of right triangles. That's it! In the videos I made below, you will learn what trig ratios are and how to find them and, more importantly, how to use them to solve problems.

I want to continue to remind students that you need to be checking yourself into attendance on the WHS website for each class period (find links to the attendance page and weekly schedule above). This is very important as it confirms your participation. On top of that it's extremely important that you complete the assigned "learning check" each week as well. This provides both you and me with feedback on your progress and it's also the proof of participation I need to give you a passing grade this semester.

Materials and Tasks for this week:

• Task 1: Trigonometry Investigation WS with Videos. The two videos below (made by me, Mr. Glover!) will introduce you to the concept of trig ratios and how to find them (video #1) and then explain how to use trig ratios to solve problems (video #2). If you'd like to follow along with me on your own copy of the handout you can use the "Intro to Trig Ratios" WS.
  • Video #1 - Intro to Trig Ratios. What are trig ratios? How do I remember them?
  • Video #2 - Using Trig Ratios to Solve Problems. How can I use trig ratios to find missing sides or angles of a right triangle?

• Task 2: Practice Problems. Use the "Right Triangle Trig Practice" WS to try some problems using the concepts explained in the two videos above. When finished, use the "Right Triangle Trig Practice" WS ANSWER KEY to check your work.
• Task 3: Using Trig Ratios Learning Check. Click this link to take the short "learning check" on using trig ratios. THIS WILL BE THE REQUIRED TASK THIS WEEK THAT WILL SHOW YOUR PARTICIPATION. You will need to complete this sometime between now and Sunday, May 3rd.

Monday, April 20th - Friday, April 24th

ATTENDANCE: Please visit the WHS homepage to sign in to attendance. Be sure to fill in the attendance form for each period at the appropriate time. The new distance learning schedule can be found on the WHS homepage here.

Objectives:

• Use the properties of a 45-45-90 right triangle to find missing side lengths
• Use the properties of a 30-60-90 right triangle to find missing side lengths

Good morning students! We are back at it, continuing our unit on right triangles. Last week we reviewed and practiced something that I think many of you were already familiar with, The Pythagorean Theorem. But this week we are going to find some shortcuts! Everyone likes a good shortcut. We will look at two specific types of right triangles and learn how the properties of these triangles will allow us to find missing sides quickly, without having to use the Pythagorean Theorem! As usual, I have a list of tasks and activities below. Work through these this week (as you have time) and be sure to complete the Special Right Triangles Learning Check by the end of the week to prove your participation and get some feedback on your progress.

Materials and Tasks for this week:

• Task 1: Special Right Triangles Investigation. Use the "Special Right Triangles Investigation" WS to learn how about two specific types of right triangles: the "45-45-90" triangle and the "30-60-90" triangle. What makes these two triangles special is that the lengths of the three sides are in a nice ratio that will allow us to find the lengths quickly, without using the Pythagorean Theorem. For the investigation to make sense, you must leave your answers in simplified radical form. If you get stuck on the investigation or want to check your work, I've made an answer key you can use: "Special Right Triangles Investigation" WS ANSWER KEY.
• Task 2: Instructional Videos. I wanted to provide some videos showing you some examples of how you can use special right triangle shortcuts to find the missing sides of right triangles.
  • Video #1 - Rationalizing the Denominator. Several of the problems you will do this week will require you to simplify expressions that have square roots in the denominator. This process is called rationalizing the denominator. If you are unfamiliar with this method, watch this video first.
  • Video #2 - Solving 45-45-90 Triangles. This will give you an overview of 45-45-90 right triangles and provides a couple example problems.
  • Video #3 - Solving 30-60-90 Triangles. This will give you an overview of 30-60-90 right triangles and provides a couple example problems.
• Task 3: Practice Problems. Use the "Special Right Triangles Practice" WS to try some problems and use the "Special Right Triangles Practice" WS ANSWER KEY to check your work.
• Task 4: Special Right Triangles Learning Check. Click this link to take the short "learning check" on special right triangles. THIS WILL BE THE REQUIRED TASK FOR THE WEEK THAT WILL SHOW YOUR PARTICIPATION. You will need to complete this sometime between now and Sunday, April 26th.

Monday, April 13th - Friday, April 17th

ATTENDANCE: Please visit the WHS homepage to sign in to attendance. Be sure to fill in the attendance form for each period at the appropriate time. The new distance learning schedule can be found on the WHS homepage here.

Objectives:

• Use the Pythagorean Theorem to find the missing side of a right triangle
• Use the Converse of the Pythagorean Theorem to determine if a triangle is a right triangle

Good morning students! I hope you all enjoyed your spring break and were able to take advantage of the nice weather. This week we will officially begin Unit 9 which will cover right triangles and eventually right triangle trigonometry. The topic for this week will be the Pythagorean Theorem.

Materials and Tasks for this week:

• Task 1: Pythagorean Theorem Instructional Videos: Watch each instructional video below.
  • Video #1 - Using the Pythagorean Theorem. This video will give you an overview of what the Pythagorean Theorem is and how to use it. Notice that we are keeping our answers in simplified radical form whenever applicable.
  • Video #2 - Find Area with the Pythagorean Theorem. This video will show you a common application of the Pythagorean Theorem, finding the area of an isosceles triangle.
  • Video #3 - Using the Converse of the Pythagorean Theorem. This video will explain how we can use the Pythagorean Theorem to "test" whether or not three lengths will create a right triangle.
• Task 2: Practice Problems. Use this "Pythagorean Theorem Practice" Worksheet to practice the concepts explained in the videos above. When finished, use the "Pythagorean Theorem Practice" WS ANSWER KEY to check your answers.
• Task 3: Pythagorean Theorem Learning Check. Click this link to take the short "learning check" on the Pythagorean Theorem. THIS WILL BE THE REQUIRED TASK FOR THIS WEEK THAT WILL SHOW YOUR PARTICIPATION. You will need to complete the Learning Check sometime between now and Sunday, April 19th.

Monday, March 30th - Friday, April 3rd

ATTENDANCE: Please visit the WHS homepage to sign in to attendance. Be sure to fill in the attendance form for each period at the appropriate time. The new distance learning schedule can be found on the WHS homepage here.

Objectives:

• Review similarity concepts from earlier this month and complete a Unit 8 Review worksheet
• Complete a Similarity Learning Check Google Form to finish Unit 8

Good morning students! Well, we're back. I hope you are making the most of this time and are at least enjoying this time with your family. We are moving back to "Distance Learning" this week and I'd like to use this week to finish Unit 8, our unit on similarity and similar figures. Next week we will be on Spring Break and when we return we'll begin our next unit on Trigonometry. Please keep in mind that the remainder of the year will be "Pass/No Credit" and will be based on participation only.

Materials and Tasks for this week:

• "Unit 8 Guided Notes" Packet. Review the notes, the videos, and the example problems we did earlier this month to catch yourself up, but we will not be adding anything else to the packet. You can ignore the end of the packet where there are examples of overlapping right triangles, we will skip this topic. I also have a version of the packet with the notes filled in if you missed anything we did earlier.
• "Unit 8 Review" WS. After reviewing the materials and videos from earlier this month (posted below) try the practice problems in this handout. This is a good overview of what you should know about similarity.
• "Unit 8 Review" WS ANSWER KEY. Use this to correct your work from the "Unit 8 Review" WS.
• UNIT 8 LEARNING CHECK. Once you've reviewed unit 8 using the provided materials, click on this link and complete the questions in the Learning Check. Some are multiple choice and others are short answer. THIS IS THE REQUIRED PIECE FOR THIS WEEK. YOU MUST COMPLETE THE LEARNING CHECK TO SHOW PARTICIPATION. Your "score" on this will not affect your grade but will provide myself and you with some feedback. You can complete the Learning Check anytime between Monday, March 30th and Sunday, April 12th.