This is the MOST successful lesson I taught because of the emphasis on conceptual learning. Students start with identifying opposite, adjacent and hypotenuse (pg 1). They practice pythagorean theorem to find the third side length. Pg 2 students measure side lengths and create ratios. Students next to each other have opposing investigations (1 and 2). They then compare their ratios and we talk about why we get the same ratio decimal even though side lengths are totally different - ANGLES! I then
Graphing logs and exponential graphs. Guided notes take students through parent functions, recognizing (1,0) and (0,1) to graphing shifts. KEY is also included. Add the Graphing Logs & Exp Exit Ticket to complete the lesson!
All types of solving exponential equations. Guided notes with separate sections. Worked great in my lesson because each type was broken up. The last page has all the types combined for students to try using their notes on the previous page. Worked GREAT! KEY INCLUDED
Side by side direct to indirect proofs worksheet. Students use the given direct proofs and reasons and put them into indirect proofs. Students do much better with indirect proofs when seeing the same proof done directly right next to it.
Good first day of basic geometric proofs w key. Pictures are given for students to label as they go for a good discussion beforehand. The front page serves as guided notes in class and the back page is for them to try on their own and write as paragraph proofs.
Students will find the slope algebraically given two points. Then, plot two points to confirm the slope graphically. Afterwards, students circle if the slope is positive, negative, zero or undefined. There are four problems and students experience each of the 4 kinds of slopes! It is great for them to see and experience doing each of the four ways. We end with two critical thinking questions with slopes of zero and undefined.
Guided Notes - beginning with recognizing slope for parallel and perpendicular lines. Then graphing regular linear equations. Then finding the equation of a line parallel and perpendicular and graphing both. Worked great in my lesson and students could graph both parallel and perpendicular lines after.
Super successful lesson as students connect the triangle congruence theorems to the specific needs each one has. I included a writing prompt at the end and examples. The writing prompt forced students to draw connections. I FOUND THIS VERY SUCCESSFUL in my classroom!
Half sheet (to save paper) - First page is guided notes and three examples of the three ways to find the equation (1- given two points, 2-give slope and a point, 3-give x or y-intercept(s)). The back page is practice. KEY Included for the back page.
Guided Quadratic Formula - going from graphing solution(s) so students understand why there is one solution, two or no real. Then, an example of obtaining one solution, two or no real. Then, the discriminant - talk about why one, two or none happen. Then, practice for students to try.
I used this lesson after my investigation to go from making 6 ratios to making 1. Then we did notes on finding side length given an angle and a side length. The back is practice doing both types with key included. Great lesson- most successful one I have taught!
Transversal Investigation - two versions alternate with students. Students measure angles within a transversal using a protractor. Then, they come angles afterwards with the student next to them to answer the follow up questions by comparing their transversal and angles. They make MANY IMMEDIATE connections and thoughtful dialect happens everytime after. The second page is a bonus graphic organizer for all the terms that go along with a transversal.
Bell Ringer - two versions fitted for a half sheet. Perfect for following a lesson on pythaogrean theorem, converse and special right triangles. The back contains optional conceptual question.
I break this lesson up into multiple days but I use the chart throughout. I put the chart on colored paper and add to it each day. Super helpful for students to keep things organized. The back page is practice for day 1 doing reflections.
Geometry contains many vocabulary terms used throughout the year. I print this packet on COLORED paper for the first introductory chapter as we reference it throughout the year. I focus on the pictures in this packet as I go through each term to express special markings, such as tick marks and arches. I also am very specific about notation as this will come up over and over again in proofs. It is a great resource to reference throughout the year. I will say to students, "If you forget, take out