Warm up involved perpendicular radius-tangent and Pythagorean Theorem, area of a circle, inverse trigonometry review, and area of a sector. Looked at the effect of doubling radius versus doubling the angle for sector area in the context of a coupon for pizza. Then used manipulatives/drawings to develop theorems on chord relationships in circles (congruent chords are equidistant from the center; inscribed angles are half the measure of the intercepted arc, two inscribed angles that intercept the same arc are congruent, and intersecting chords create proportional relationships)
Notes from board
Calendar for rest of quarter (last q3 assessment is Monday 3/13, a B-day)
Homework
Finish this handout, #1-14
Continue planning for project due 3/29
Resources
using radii to find various segment lengths: link [made by me!]
using the intersecting chords theorem: link [made by me!!]
chord equidistant concept: link
inscribed angle vs arc; link
inscribed angles sharing same arc: link
intersecting chords theorem: link
Warm up dealt with using the intersecting chords theorem to solve a simple linear equation. Laid out dates of upcoming assessments and lessons (see here for A days, see here for B days) and talked about project in depth, including showing two example projects (volume of household object and indirect measurement). Linked below are resources for each project option. Remember final choices for what you plan on doing are due 3/13 for B and 3/14 for A. Learned about arc-length with a 3-act task involving two routes to drive. Compared arc length with arc measure and then reviewed the inscribed angle/intercepted arc relationship before working a few examples out. Then passed out practice assessment.
Notes from board
Homework
Finish practice assessment [blank copy here] [SOLUTIONS]
Real assessment is 3/13 for B days and 3/14 for A days
Continue working on project: draft information is due the same day as the assessment
Assessment Resources
CO-A1d: know all terminology from this video: link
C-A1a: intersecting chord theorem: link
C-A1a: radius and tangent perpendicular: link
C-B5a: area of sector: link
C-B5a: arc length: link
C-A2a: inscribed angle and intercepted arc measure: link
Project Resources: prompt is here: LINK
Option 1
example project
volume formulas: link
Option 2
example project
link to download clinometer apps [iOS] [Android]
Instructions for how to make a clinometer from a protractor, string, straw, and weight: link
How to use a clinometer (option 1 here); link
Option 3
link to my youtube channel for examples: link
list of skills covered in q1 and q2: link
great whiteboard app to record screen and voice: Doceri [iOS only]
Doceri alternative for Android: (30 day free trial) [Android]
How to upload a video from an iPhone to Youtube [link]
Record your screen, desktop computer using Jing: link
Option 4
pages in textbook to look over: p. 319-321 for law of sines; p. 324-326 for law of cosines; p327-330 for good examples of both
NOTE: requirement of explaining the proof is dropped from this option, just 4 examples (2 for sines and 2 for cosines, 1 abstract and 1 contextual for each is fine)
law of sines example, abstract: link
law of sines example, abstract: link
law of sines example, contextual: link
law of sines examples, contextual: link [many good examples here!]
law of cosines example, abstract: link
law of cosines example, contextual: link
law of cosines example, contextual: link
1. Fill out Project Update form HERE
2. Go here to access your Benchmark Test (not a grade, but please do your best and take it seriously! Be sure your calculator is in DEGREE MODE) LINK
3. If you finish early, use this time to either finish/check the practice assessment on circles or browse the resources above to work on your project.
Homework
Finish practice assessment from last class (blank and solutions posted above for Tues/Wed)
Real assessment is Monday for B blocks and Tuesday for A blocks
Have project proposals ready for Monday (B) or Tuesday (A)