We're practically done with Chapter 1 and are getting ready for our first project! Students will be using their smartphones to take pictures of various geometric objects and postulates around the school. They will then upload the photos to Google Drive and will create a Google Slides presentation using the pictures they found! I'm very excited to see how this turns out! In Chapter 2, the students will be looking at geometry through the lens of language, writing and working with conditional statements and working to discover patterns and reason.
New this year, I've added binder checks to our quarterly grade. At the conclusion of each chapter, students will be asked to use their math binders to answer a few questions related to the notes they took. If they have taken accurate notes, they will have no trouble with this assignment. This is a way for me to monitor how much they are focusing in class and to make them accountable for small details during class.
The students are currently working through Chapter 3, which focuses on parallel and perpendicular lines. Lots of new vocabulary has been added to this section, so using Quizlet reviews will help the students prepare. The chapter will be broken into two parts- Part A covers sections 3.1 through 3.5, and Part B covers sections 3.6 through 3.8. Part A focuses on angle relationships; students will be asked to identify what type of relationship two angles have, and based off of these relationships, will be able to identify whether lines are parallel or perpendicular. Part B asks the students to create parallel and perpendicular lines, and then focuses on the slopes of lines. Based off of the slope, students will be able to determine whether lines are parallel or perpendicular. We will review sample problems before the Part A test, and will also complete a Kahoot! review game. The chapter 3 Part A test is scheduled for 11/17.
This week we'll be continuing with chapter 3, focusing now on slope. The students will be identifying the slope of a line when given two points (by using the slope formula), and will also be writing equations when given either the slope, the slope and the y-intercept, the slope and a point, or two points. We will conclude the week on Wednesday with a slope review activity. Enjoy the holiday break!
I hope everyone had a restful and enjoyable fall break! This week we are back in chapter 3- our last section is 3.8, slopes of parallel and perpendicular lines. The students are learning that parallel lines have equal slopes, and perpendicular lines have slopes that are opposite sign reciprocals. They will be using the slope formula and will also be writing equations in both slope-intercept form and point-slope form. On Thursday, we will be reviewing chapter 3 part B, and on Friday we will take the Chapter 3 Part B quiz. Remember that midterms are coming up soon, and the students have been given two different review packets from which to practice, as well as a MathXL review assignment that they can complete.
This week the students are learning about transformations of figures (Chapter 9). The chapter will only cover 4 sections, and there will not be a separate test on this chapter- the material covered will be included in the Midterm exam. The students will be learning how to translate, or slide, a figure, how to reflect a figure over a line (think about looking in a mirror), how to rotate a figure to varying degrees, and will be learning about three different types of symmetry: line, rotational, and point. At the conclusion of the week we will begin reviewing for the midterm exam. The midterm will cover chapters 1, 2, 3, and 9. The students have two review packets (extra credit) as well as a MathXL review assignment.
Midterm week! On Monday and Tuesday we reviewed for the Geometry midterm covering chapters 1, 2, 3, and 9. The students worked on a MathXL review on Monday and played a Kahoot! review on Tuesday. Wednesday, Thursday, and Friday are exam days. Make sure to get plenty of rest and eat something before your exams! I hope that everyone has a wonderful break and comes back ready to go in 2016!
Happy New Year! I hope everyone enjoyed the break and has returned with recharged batteries. This week we are beginning chapter 4. Chapter 4 deals with congruency among polygons, and we will be looking at how to identify congruent figures. We used real life examples of congruency, such as creating matching cabinets in a bathroom (which I'm currently doing!). We will finish the week with a review of some of the more important aspects of congruency. Next week the students will have their first chapter 4 quiz.
Students will begin the week with a quiz covering sections 4.1-4.3. We will then get back into chapter 4, learning new methods for proving triangles to be congruent. We will look at corresponding parts of congruent figures, isosceles triangles, equilateral triangles, and right triangles. These sections will be heavy on proofs, so students will need to review their triangle congruence packets to best complete and prepare for upcoming assessments. The chapter 4 test will be next week! Also, the grading period ends next week, so this is the final opportunity for students to turn in any missing or late assignments and make the final push for a higher grade!
Happy short week! This week we are completing chapter 4 and triangle congruence. The students will be testing on Wednesday, and the grading period ends on Thursday. This is a great opportunity to reorganize, prioritize, and get ready for the second semester. Next week we will begin chapter 6 and will be working with polygons and quadrilaterals. Many of the topics that have been covered in the previous chapters will be on display, so in spite of the fact that we're beginning a new semester, students are expected to retain information previously learned!
This week we are starting chapter 6, which focuses on special types of quadrilaterals. Students will be learning the various properties of parallelograms, rectangles, rhombuses, squares, kites, and trapezoids. They will be able to use the formula (n-2)180 to find the sum of the angle measures of any polygon. Students will be able to classify polygons based on information derived from a visual, such as the characteristics of the diagonal lines. There will be a quiz on Tuesday the 2nd covering sections 6.1-6.3. On Monday of next week we will be reviewing using MathXL.
This week we're continuing to work on chapter 6, learning more about quadrilaterals. On Monday we are completing a MathXL review. There will be an 18 question quiz covering sections 6.1-6.3 on Tuesday. The remainder of the week will be spent learning about rhombuses, rectangles, and squares. Students will be able to identify which figure a quadrilateral is based on written or visual information. They will compare the similarities and differences among these figures. They can then use this information to create Venn diagrams that compare them. On Friday, the students will be completing a measuring activity that gives the students various special parallelograms that they will measure (both sides and angles) to determine what type of figure it is. The chapter 6 test will be coming up shortly!
Congratulations to the basketball team on their Suburban League championship! This week in Geometry the students are continuing to compare and contrast quadrilaterals. They will learn about the properties of kites and trapezoids, and then will learn how to classify polygons within the coordinate plane. The students have also been given a Chapter 6 project, Polygons Around the World (information on the project can be found under the Geometry tab on this online classroom). Students will investigate various polygons located throughout the world and explain some of the unique characteristics of these polygons. These projects will be due the day of the chapter 6 test (tentatively next Wednesday). We will conclude the week by beginning our review over Chapter 6- we'll play Kahoot on Friday and will work on MathXL on Tuesday of next week.
Happy short week! Due to Presidents' Day and a snow day, we only have three days of instruction this week. Wednesday is a MathXL review day, where students are reviewing chapter 6 concepts for their test on Thursday. Students should also be reviewing their quadrilateral graphic organizers to review characteristics of different quadrilaterals. On Friday we will begin chapter 7, which focuses on similar figures. The students will be working with ratios and proportions, and will be completing an activity using sugar packets and beverages to write and solve proportions.
Congratulations to the boys JV and Varsity basketball teams on their undefeated regular seasons! Best of luck to the boys as tournament play begins at home on Wednesday against East! This week in Geometry the students are continuing to work on writing and solving ratios and proportions. A ratio is a comparison of two quantities; a proportion sets two ratios equal to each other. The students have been using beverage and candy labels to determine how many individual packs of sugar are contained in each sample. It's eye-opening to think about how much sugar we actually take into our bodies in just one serving! Moving forward in chapter 7 this week, students will be exploring similarity among various polygons, including triangles and right triangles. They will apply similarity postulates and build off of prior understanding about corresponding sides and angles in order to show that two (or more) figures are similar! Chapter 7 only contains five sections, so the students can expect a chapter test next week.
This week we are wrapping up chapter 7 and similar figures. We'll be looking at similarity among triangles, specifically focusing on right triangles. The students will learn that the altitude to a right triangle separates the triangle into three similar triangles. Students can use this information to find the lengths of unknown sides within a right triangle. On Wednesday of this week we will begin reviewing for the chapter 7 test. The students will work on MathXL on Wednesday, then on Thursday we will continue the MathXL review, then compete in a Kahoot! review. The chapter 7 test is scheduled for Friday. Congrats to our boys' basketball team on the sectional championship! The boys will be in action again on Thursday night against Lake at Alliance High School. Come out and support the boys!
This week in Geometry the students began their introduction to circles. We reviewed the formula for circumference (pi X r squared) and used that to find the length of arcs within circles. They also learned how to find the arc measure by finding the measure of its central angle. Finally, they were introduced to tangent lines and learned that a line tangent to a circle is perpendicular to the radius of the circle. This allows them to calculate for unknown angles within triangles or quadrilaterals. Next week the students will continue their unit on circles, beginning with Pi Day on Monday!
This week in Geometry the students celebrated Pi day! Monday (3/14) has become an unofficial holiday for math classes and those looking for any reason to celebrate. The students made chain links using colored strips of paper representing the digits in Pi; there was a contest between mods 3-4 and 12-13 to see who could complete the most links in the chain. Mod 3-4 won with a total of 55 digits! They also ate whoopie pies and cookies- after they calculated the circumference and area of each. We continued our discovery of circles in chapter 12 and learned about chords and arcs. The students learned that a chord is a line segment connecting at two distinct points of a circle. They learned that the difference between a chord and a diameter is that the diameter will always run through the center of a circle; a chord can go through the center, but doesn't always. On Friday, the students reviewed all the concepts learned thus far from 10.6 and chapter 12. We will continue in section 12.3 next week, learning about inscribed angles within a circle. We will review for the Circles Test (to be taken on Thursday) during Wednesday's class.
This week in Geometry the students finished up their unit on circles. The students learned what an inscribed angle is (an angle formed by two chords with the vertex on the circle) and how to find the measure of an inscribed angle (which is half of its intercepted arc). We spent Tuesday and Wednesday reviewing circles, working in small groups to complete example problems modeled after what they would see on the test. On Thursday, we took the Circles Test. Have a great break! I hope everyone comes back refreshed and ready to finish out the school year on a high note!
Welcome back! I hope that everyone enjoyed the time away and feels ready for the final stretch of the school year! The students had a short week this week, and in Geometry we introduced chapter 8 which covers triangles. The chapter involves several formulas and mnemonics that the students will be expected to know and use not only in chapter 8, but in ensuing chapters as well. We opened the chapter learning about Pythagorean Theorem (a squared plus b squared equals c squared). We spent two days reviewing how to apply this formula given either a pair of legs or a leg and the hypotenuse. Keep in mind that Pythagorean Theorem can ONLY be used within a right triangle- so pay attention to the angle measures! We played a Pythagorean Theorem board game on Wednesday, where the students competed in solving for unknown sides, finding Pythagorean Triples, and learning about the origins of this Theorem. Congrats to Milaun for being first around the board! We finished the week learning about special right triangles, 45-45-90 and 30-60-90. Each have special formulas to solve for their unknown sides. All of the lessons have been recorded and can be found on this online classroom under "Instructional Videos." Next week we begin AIR testing, so there will be a modified schedule on certain days. We will continue to study triangles and the students will be introduced to Trigonometry.
This week in Geometry the students explored trigonometry and its functions. First, they learned how to solve for a missing side length of a right triangle given an angle measure and the measure of one side. The students practiced "SOH CAH TOA" and completed examples using trigonometry (as opposed to what they learned last week, the Pythagorean Theorem). Then the students learned about inverse trigonometry, where they were asked to solve for an unknown angle measure given two side lengths. On Friday, we walked the school and found different structures to calculate the height and distances of them. The students used clinometers to calculate the angle of elevation from their eye line to the top of the structure. They were then asked to calculate for the height or distance from point to point. The pictures can be found under "CFCS Pictures." Next week we will be exploring angles of elevation and depression, then reviewing for the Chapter 8 Test. The Chapter 8 Test is scheduled for Friday the 22nd. Have a great sunny weekend!
This week in Geometry the students learned about angles of elevation and depression. An angle of elevation is formed when looking up, whereas an angle of depression is formed when looking down. The students used this information to draw pictures related to word problems that they were trying to solve. We then reviewed chapter 8 for three days, as the trigonometry concepts require a great deal of repetition and understanding in order to be mastered. We began with a Kahoot! review that focused mainly on angles of elevation and depression. We then reviewed trig functions (SOH CAH TOA) and practiced selecting which trig function needed to be used to solve a given problem. The students then completed a review packet that closely mirrored the Chapter 8 test that they would be taking. The test was given on Friday the 22nd. Next week, we will introduce Chapter 10, which covers area. the students will learn formulas for finding the area of parallelograms, triangles, rhombuses, kites, trapezoids, and other regular polygons. The students should be using Quizlet to help review these concepts, as the formulas will often be used simultaneously with each other. Have a great weekend!
AIR testing is rolling along and next week will be the final week of the two-hour delay schedule! This week in Geometry the students learned several formulas for finding the area of various figures. We started by learning the area formulas for a rectangle (A = bh ) and a triangle (A = 1/2 bh ). The reason this is true is because a rectangle can be cut in half to create two right triangles. Since we only need the area of one triangle, we can simply find 1/2 the area of the rectangle. We then learned the area formula for rhombuses and kites (A = 1/2 diagonal X diagonal). We reviewed the properties of rhombuses and kites to help solve for the length of the diagonals. Finally, the students learned how to find the area of any regular polygon (A = 1/2 ap ), where a is the apothem (also known as the height of a right triangle) and p is the perimeter. On Friday, we reviewed composite figures and learned how to separate irregular shapes into shapes that we have formulas for. Next week, we will apply trigonometry to these polygons to solve for area. We'll spend a couple of days reviewing then for the 10.1-10.4 quiz scheduled for Thursday, May 5. That's right, MAY! Happy weekend!
Final week of testing! Thankfully this was the last week of AIR testing and the two-hour delay schedule. As a result of the delays, however, we were able to review a little bit more for the chapter 10 quiz. This week, we completed section 10.4, ratio of perimeters and areas. The students learned how to compare the perimeters and areas of similar figures. Using the ratio a/b, the students were able to take this ratio and find the area of a figure given the area of a similar figure. We also worked backwards when given the areas to find the perimeters. The students spent a lot of time reviewing the formulas learned over the past week and applied them to various polygons. The students had the 10.1-10.4 quiz on Friday. Next week will have a typical schedule with no delays and no days off. We'll start back into chapter 10 section 5, where the students will continue to look at the area of polygons, as well as finding the area of triangles when given SAS information. We'll spend a few days looking at the area of circles as well, and look at how to find the area of a sector of a circle. The students will complete an investigation of actual circular objects, measuring the diameters and then applying this to find the areas using the formula pi X r squared. The students will have another quiz covering sections 10.5 and 10.7 on Friday the 13th. Have a great weekend!
This week in Geometry the students focused on trying to find the area of a regular polygon given various pieces of information. The steps were lengthy, so the students used a graphic organizer with both written and drawn out directions on how to solve. The formula they used was A = 1/2ap, with a being the apothem and p being the perimeter. They had to rely on their knowledge of finding angle measures within triangles in order to solve these problems, as they needed to use either trig or the formulas for special right triangles in order to solve. They learned how to find the area of parts of a circle, called either sectors or segments. We compared it to a slice of pizza taken from an entire pizza slice. The slice represents a sector of the pie; the outer crust represents a segment of the pie. Using their formula for area and understanding of triangles, the students were able to calculate the area of the entire pie, a sector of the pie, and a section of the pie. Unfortunately, we didn't eat any pizza :( We finished the week with a short quiz covering these topics.
As the end of the year draws closer, students in Geometry are beginning to review and utilize key concepts learned throughout the semester. This week, we finished up our chapter 10 quizzes but continued our exploration of area and perimeter. The students began working on a centimeter grid project where they were asked to write their names in block letters on centimeter grid paper, then color and design the pages however they chose. Once complete, the students will be finding the area and perimeter of their names. Pictures will be posted soon on the CFMS Pictures tab on the homepage of my online classroom. Next week, the students will be creating Mandalas using computer paper, compasses, and rulers. This is another opportunity for the students to showcase their artistic abilities, as well as an opportunity to review concepts from our circles chapter. We'll cover key terms such as radius and diameter, and review formulas for circumference and area of a circle. We'll complete a Kahoot! review as well, and the students will be given their Final Exam review packets by the end of the week. Happy weekend!
This week marks the last day for seniors- congrats to the class of 2016! Special mention goes out to my Copley Cosmos alumni- Chris Brennan, Jared Davis, Kyle Boles, Andrew Bidwell, Jarod Deagan, Jake White, Connor Panovich, Jordan Wharton, Gavin Aten, Trey Neal, Ryo Shinohara, Leo Trista, Thomas Leyssens (in Belgium), Ben Smith (at Walsh, went to states for tennis!), Dante Mosley, and Nick Hofacker. You boys are an amazing group of young men, and talented athletes as well. Too many great moments to count, and I'm glad I could be a part of them! Best of luck moving forward and don't forget to come back for the alumni game!
In Geometry this week we worked on two different projects- a centimeter grid drawing that the students created using their name, and a Mandala project where the students worked with circles. The centimeter grid project focused on calculating the perimeters and areas of the students' names. In the Mandala project, we reviewed radii, diameters, and circumference. Pictures of these projects can be found under the CFCS Pictures tab. We've also begun our final exam review. Students were given a final exam review packet that they've begun working on, and we will continue focusing on next week. The review packets will be due the day of the final exam and will be used towards extra credit to the final exam score. We will also complete Kahoot! reviews to help prepare for the final exam. Exams will be held on Friday the 3rd, Monday the 6th, and Tuesday the 7th. Good luck on all of them! Enjoy your extended weekend! Happy Memorial Day!