2011-2012+Classwork

= Geometry A Classwork =

This page contains the notes and classwork for each day of class for the Geometry A section.

__**Tuesday, June 12**____**, 2012**__ Today, we finished our trigonometry word problems project. Students also took an end-of-year survey to reflect on the class.

__**Monday, June 11**____**, 2012**__ Today, we continued to work on our trigonometry word problems project. The project will be due on Tuesday. Students who finished early worked on an end-of-year survey to reflect on the class.

__**Friday, June 8**____**, 2012**__ Today, we reviewed two problems related to inverse trigonometric functions. We then began to work on our final project, in which we will explore word problems that require trigonometric and inverse trigonometric functions to solve. The project will be due on Tuesday.

__**Thursday, June 7**____**, 2012**__ Today, we reviewed two more problems related to trigonometry. We then worked on two example problems in which we used inverse trigonometric functions to find the measures of unknown angles. Tomorrow, we will begin our final project, in which we will work on word problems that require trigonometric and inverse trigonometric functions to solve.

__**Tuesday, June 5**____**, 2012**__ Today, we reviewed two problems related to the trigonometry examples we learned yesterday. We then worked on a couple more example problems in which the three trigonometric functions - sine, cosine, and tangent - can be used to solve for missing sides of a triangle or to solve a word problem. We will continue with more trigonometry on Thursday.

__**Monday, June 4**____**, 2012**__ Today, we began a new unit on Trigonometry. We first talked about what types of problems can be solved using trigonometry. We then defined the three basic functions used in right-triangle trigonometry - sine, cosine, and tangent. Finally, we worked on a few example problems related to trigonometry. We will continue with more trigonometry tomorrow.

__**Friday, June 1**____**, 2012**__ Today, we took a quiz on chapter 10 - volumes of prisms and cylinders, volumes of pyramids and cones, and volumes of spheres and hemispheres. We will begin a new unit on trigonometry next week.

__**Thursday, May 31**____**, 2012**__ Today, we reviewed two problems related to finding the volume of a sphere or hemisphere. We then talked about what would be covered on the quiz we will have tomorrow - the volumes of prisms and cylinders, the volumes of pyramids and cones, and the volumes of spheres and hemispheres. Finally, we worked on a number of review problems to prepare for the quiz.

__**Friday, May 25**____**, 2012**__ Today, we reviewed a few problems related to finding the volume of a cone or a pyramid. We then talked about how to find the volume of a sphere and looked at a few example problems. We will continue with more volume next week.

__**Thursday, May 24**____**, 2012**__ Today, we reviewed a few problems related to finding the volume of a prism (right or oblique) or a cylinder. We then talked about how to find the volume of a pyramid or a cone, which also involves the area of the base and the height. We then worked on a few example problems related to cones and pyramids. We will continue with more volume tomorrow.

__**Wednesday, May 23**____**, 2012**__ Today, we reviewed the definitions for volume and surface area of a solid. We then looked at how to find the volume of a prism (right or oblique) or a cylinder. In each case (prism or cylinder) the volume can be found by multiplying the area of the base by the height of the prism or cylinder. We then worked on a number of practice problems for volumes of different cylinders and prisms. We will continue with more volume tomorrow.

__**Monday, May 21**____**, 2012**__ Today, we continued to go over the vocabulary associated with geometric solids. We reviewed how to classify different solids. We then worked on problems on naming parts of these solids and on classifying real-world objects as different geometric solids. We will continue for the rest of the week on finding the volumes of these solids.

__**Friday, May 18**____**, 2012**__ Today, we began a new unit on geometric solids and volume. We first looked at the definition of volume and what geometric solids students were already familiar with. We then began to look at the vocabulary related to the different geometric solids, and worked on an activity to classify different geometric solids. We will continue with more on these solids next week.

__**Thursday, May 17**____**, 2012**__ Today, we took a test on Chapter 9 - the Pythagorean Theorem, the Distance Formula, and circles. We will start a new chapter on 3-D solids tomorrow.

__**Wednesday, May 16**____**, 2012**__ Today, we reviewed a few problems related to the Pythagorean Theorem and circles. We then began to review the different topics related to the Pythagorean Theorem and the Distance Formula that we learned in Chapter 9. We will have a test on Chapter 9 tomorrow.

__**Monday, May 14**____**, 2012**__ Today, we reviewed a few problems related to the equation of a circle. We then worked on a few example problems in which we applied the Pythagorean Theorem to solve problems involving circles. On Wednesday, we will review the topics from Chapter 9 related to the Pythagorean Theorem and the Distance Formula. We will then have a test on Chapter 9 on Thursday.

__**Friday, May 11**____**, 2012**__ Today, we reviewed two problems from yesterday's homework related to the Pythagorean Theorem and the Distance Formula. We then looked at the equation for a circle, which is based on the coordinates of the center and the radius. We then worked on practice problems related to this equation. We will continue with more circle problems next week.

__**Wednesday, May 9**____**, 2012**__ Today, we reviewed a few word problems related to the Pythagorean Theorem. We then briefly looked at the Distance Formula, used for finding the distance between two points in a plane. We will continue to work on more problems related to this formula tomorrow and Friday.

__**Monday, May 7**____**, 2012**__ Today, we began to look at word problems that can be solved using the Pythagorean Theorem. We looked at examples of how to sketch diagrams for these problems, and looked at a list of tips for approaching them. We then worked on a couple of examples of these word problems. We will continue with more problems like these on Wednesday.

__**Friday, May 4**____**, 2012**__ Today, we took a quiz on sections 9.1-9.3 - the Pythagorean Theorem, simplifying square roots, and special right triangles. We will continue with more problems related to the Pythagorean Theorem next week.

__**Thursday, May 3**____**, 2012**__ Today, we reviewed one more problem related to special right triangles. We then went over some of the review problems from yesterday, related to the Pythagorean Theorem and simplifying square roots. We will have a quiz on Friday on these topics (sections 9.1-9.3).

__**Wednesday, May 2**____**, 2012**__ Today, we reviewed how to solve problems using the two special types of right triangles we learned about on Monday - Isosceles Right Triangles and 30-60-90 Triangles. We then worked on other review problems related to the Pythagorean Theorem and simplifying square roots. We will have one more day to review tomorrow, and will have a quiz on Friday on these topics (sections 9.1-9.3).

__**Monday, April 30**____**, 2012**__ Today, we reviewed how to use the Converse of the Pythagorean Theorem to determine if a triangle is a right triangle, and how to simplify expressions involving square roots. We then looked at two special types of right triangles - Isosceles Right Triangles and 30-60-90 Triangles. We worked on a few practice problems involving these triangles. We will continue with more on these triangles on Wednesday.

__**Friday, April 27**____**, 2012**__ Today, we reviewed a few problems that can be solved using the Pythagorean Theorem. We then looked at the Converse of the Pythagorean Theorem, which allows us to determine if a triangle is a right triangle, based on the lengths of the sides. Finally, we looked at how to simplify expressions involving square roots. We will continue with more applications of the Pythagorean Theorem next week.

__**Thursday, April 26**____**, 2012**__ Today, we reflected on the floor plan project that was due today, looking at what went well with the project and what did not go well. Then, we began a new unit in which we will explore the Pythagorean Theorem and its applications. We first looked at what the Pythagorean Theorem says and how it can be proven. Then, we looked at a couple of examples of problems that can be solved using the Pythagorean Theorem. We will continue with more on the Pythagorean Theorem tomorrow.

__**Wednesday, April 25**____**, 2012**__ Today, we continued to work on the floor plan project. The project will be due at the beginning of class tomorrow.

__**Friday, April 20**____**, 2012**__ Today, we continued to work on the floor plan project. We will have one more day to work in class on the project on Wednesday. The project will be due at the beginning of class on Thursday.

__**Thursday, April 19**____**, 2012**__ Today, we reviewed the formulas for the areas of different quadrilaterals and triangles. We then began work on a project in which we will design a floor plan for a social hangout for teens. This project will allow us to apply all of the different area formulas we have learned in this chapter.

__**Wednesday, April 18**____**, 2012**__ Today, we took a quiz on the areas of regular polygons, circles, and regions of circles. We will continue with more area tomorrow, when we will begin working on a project to apply all of the different area formulas we have learned in this chapter.

__**Tuesday, April 17**____**, 2012**__ Today, we had one more day of review on the areas of regular polygons, circles, and regions of circles - sectors, segments, and annuluses. We reviewed the formulas for each and worked on a number of example problems. We will have a quiz on the areas of these shapes tomorrow.

__**Friday, April 13**____**, 2012**__ Today, we reviewed a few problems related to the areas of different regions of a circle - sectors, segments, and annuluses. We then looked at a few review problems related to the areas of regular polygons and circles. We will have one more day of review on Tuesday, and will have a quiz on the areas of all of these shapes on Wednesday.

__**Thursday, April 12**____**, 2012**__ Today, we looked at two problems related to finding the area of a shaded region between a circle and a rectangle and between a circle and a triangle. We then looked at how to find the areas of different regions of a circle - including sectors, segments, and annuluses. We looked at the formulas for finding the areas of these regions, and worked on a number of practice problems. We will continue with more area problems tomorrow, and have a quiz next week.

__**Wednesday, April 11**____**, 2012**__ Today, we reviewed a few problems related to the area of a regular polygon. We then looked at how to find the area of a circle, based on the radius. We worked on a few example problems related to the area of a circle. Finally, we worked on practice problems from the textbook. We will continue with more problems related to the area of a circle tomorrow.

__**Tuesday, April 10**____**, 2012**__ Today, we looked at how to find the area of a regular polygon. We first reviewed the vocabulary related to regular polygons. We then looked at how the area of a regular polygon can be found by dividing it into multiple triangles and using the apothem and the side length. We then looked at two different formulas that can be used to find the area of a regular polygon. Finally, we looked at example problems related to this topic. We will continue with more area this week.

__**Friday, March 30**____**, 2012**__ Today, we had a quiz on area - including the areas of rectangles, parallelograms, triangles, trapezoids, and kites, and applications of area in word problems. We will continue with more area after the break.

__**Thursday, March 29**____**, 2012**__ Today, we reviewed two more problems from Tuesday's homework. We then looked at the steps for how to solve word problems related the area of quadrilaterals and triangles. We looked at one example of a word problem related to surface area, and then worked on a few more word problems in groups. We will have a quiz on area on Friday.

__**Wednesday, March 28**____**, 2012**__ Today, we reviewed two problems related to area from yesterday's homework. We then spent the remainder of class working on corrections for last week's test. Tomorrow, we will work on word problems related the area of quadrilaterals and triangles. We will then have a quiz on area on Friday.

__**Tuesday, March 27**____**, 2012**__ Today, we reviewed how to solve problems related to the areas of triangles, trapezoids, and kites. We then worked on a number of review problems related to the areas of different quadrilaterals and triangles. We will continue with more problems related to area tomorrow and Thursday. We will then have a quiz on area on Friday.

__**Friday, March 23**____**, 2012**__ Today, we reviewed how to solve problems related to the areas of rectangles and parallelograms. We then looked at the formulas for the areas of three other shapes - triangles, trapezoids, and kites. We also looked at how these formulas are related to the area formulas for rectangles and parallelograms. Finally, we worked on practice problems related to these new formulas for area. We will continue with more area problems next week.

__**Thursday, March 22**____**, 2012**__ Today, we began a new unit on area. We talked about the meaning of the area of a shape. We also talked about the formula for the area of a rectangle and the formula for the area of a parallelogram. We then looked at a few examples of problems related to area, and worked on a number of practice problems. We will look at more formulas for area tomorrow.

__**Wednesday, March 21**____**, 2012**__ Today, we took the chapter 6 test on properties of circles - including chords, tangents, arcs, central/inscribed angles, circumference, and arc length. We will begin a new unit tomorrow on area.

__**Tuesday, March 20**____**, 2012**__ Today, we had one final day of review for the chapter 6 test. We looked at a few review problems related to chords, tangents, arcs, and central/inscribed angles. We also reviewed circumference and arc length, as well as one word problem. We will have a test on these topics tomorrow.

__**Friday, March 16**____**, 2012**__ Today, we reviewed a couple of problems related to circumference and arc length. We then went over a number of the problems from last night's homework. We will have one more day of review on Tuesday, and have a test on circles on Wednesday. The test will cover properties of chords, tangents, arcs, central angles, inscribed angles, circumference, arc length, and word problems related to circles.

__**Thursday, March 15**____**, 2012**__ Today, we looked at another word problem that can be solved using circumference. We then worked on some review problems related to circumference, arc length, and applications of circumference (word problems). We will continue to review these topics tomorrow and have a test on circles next week.

__**Wednesday, March 14**____**, 2012**__ Today, we reviewed a few problems from the homework related to circumference and arc length. In these problems, we were given arc length or circumference, and had to work backwards to find the radius. We then looked at two different word problems that showed applications of circumference. We will continue with more about arc length and circumference tomorrow.

__**Tuesday, March 13, 2012**__ Today, we began to look at how to find the circumference of a circle, given the radius or diameter. We also talked about how to find the length of an arc in a circle, by finding a fraction of the circumference. We then worked on a few different practice problems for arc length. We will continue with more circumference and arc length, along with applications of these, tomorrow.

__**Friday, March 9, 2012**__ Today, we had a quiz on the properties of chords, tangents, arcs, and inscribed and central angles of circles. We will continue with more properties of circles next week.

__**Thursday, March 8, 2012**__ Today, we had one final day of review on problems related to chords, tangents, arcs, and inscribed and central angles. We will have a quiz on these topics on Friday.

__**Wednesday, March 7, 2012**__ Today, we continued to review problems related to chords, tangents, arcs, and inscribed and central angles. We will have one more day of review on Thursday and have a quiz on Friday. The quiz will cover all of the conjectures we learned last week.

__**Friday, March 2, 2012**__ Today, we reviewed two problems that can be solved using the properties of inscribed angles and arcs. We then worked on more review problems to practice with the conjectures related to chords, tangents, and arcs. We will have one more day of review on Tuesday and have a quiz on Wednesday. The quiz will cover all of the conjectures we learned this week.

__**Thursday, March 1, 2012**__ Today, we reviewed a couple of problems that can be solved using the properties of chords, central angles, tangents, and arcs. We then looked at a few new conjectures related to the relationships between inscribed angles, central angles, and arcs. We worked on a few more practice problems to apply these conjectures. Tomorrow, we will review all of the conjectures we learned this week.

__**Wednesday, February 29, 2012**__ Today, we reviewed some of the vocabulary related to circles that we had been learning over the last few classes. Then, we looked over some of the conjectures related to chords, arcs, angles, and tangents that we had investigated in SketchPad on Tuesday and Friday. We also looked at how these conjectures can be used to solve problems involving chords, tangents, and arcs. We will continue with more properties of arcs, central angles, and inscribed angles tomorrow.

__**Tuesday, February 28, 2012**__ Today, we continued with investigations into the properties of chords, arcs, angles, and tangents in circles. We began with a short warm-up to review some of the important topics from the last predictive test. We then worked in SketchPad to learn some of the conjectures related to the properties of chords and tangents to a circle. We will continue to learn more properties of circles tomorrow.

__**Friday, February 24, 2012**__ Today, we began a new unit on the properties of circles. We started by reviewing some of the different vocabulary terms for the parts of circles. We then looked at two types of angles in circles - central angles and inscribed angles. Finally, we worked on some investigations in SketchPad to learn different conjectures about the chords and angles in a circle. We will continue with more investigations next week.

__**Thursday, February 23, 2012**__ Today, we took a test on chapter 5 - covering properties of angles of polygons, properties of kites and trapezoids, properties of midsegments, properties of parallelograms and special parallelograms, and proofs. We will begin a new unit on properties of circles tomorrow.

__**Wednesday, February 22, 2012**__ Today, we worked on a number of review problems related the topics that will be covered on the chapter 5 test on Thursday. These include properties of angles of polygons, properties of kites and trapezoids, properties of midsegments, properties of parallelograms and special parallelograms, and proofs.

__**Tuesday, February 21, 2012**__ Today, we looked at another example of how to write a proof for a property of a parallelogram. We then talked about the topics that will be covered on the chapter 5 test on Thursday. These include properties of angles of polygons, properties of kites and trapezoids, properties of midsegments, and properties of parallelograms and special parallelograms. We then worked on a few more practice proofs for some of these properties. We will have a day of review for the test tomorrow.

__**Thursday, February 16, 2012**__ Today, we began to look at how we can prove some of the properties of quadrilaterals we have learned in the last chapter. We looked at a proof that the diagonals of a square are congruent, and a proof that the diagonal of a parallelogram creates two congruent triangles. We will continue with more proofs like this next week.

__**Wednesday, February 15, 2012**__ Today, we took a quiz on the properties of midsegments of triangles, midsegments of trapezoids, parallelograms, and special parallelograms. We will begin to look at how to prove some of these properties tomorrow, and continue with proofs next week.

__**Tuesday, February 14, 2012**__ Today, we reviewed how to solve problems involving the properties of squares and parallelograms. Then, we worked on a number of practice problems to review the properties of midsegments of triangles, midsegments of trapezoids, parallelograms, and special parallelograms. We will have a quiz on these topics tomorrow.

__**Monday, February 13, 2012**__ Today, we reviewed the properties of parallelograms and the properties of midsegments of trapezoids. We then looked at some properties of different types of parallelograms - rhombuses, rectangles, and squares. We looked at a number of conjectures related to the diagonals of these special parallelograms. We will continue with more problems related to parallelograms tomorrow. We will also have a quiz on midsegments, parallelograms, and special parallelograms on Wednesday.

__**Thursday, February 9, 2012**__ Today, we reviewed how to solve problems using the properties of parallelograms. Then, we worked on a number of practice problems to apply the properties of midsegments of triangles, midsegments of trapezoids, and parallelograms. We will work on more problems related to these properties next week.

__**Wednesday, February 8, 2012**__ Today, we reviewed a few problems related to the midsegments of triangles and trapezoids. We also went over a problem that helped us review corresponding angles, vertical angles, linear angles, alternate interior angles, and the triangle sum conjecture. Then, we learned a few new conjectures about the properties of parallelograms, and worked on problems to practice applying these conjectures. We will continue with more practice problems tomorrow.

__**Tuesday, February 7, 2012**__ Today, we took a quiz on the interior and exterior angles of a polygon, the properties of kites, and the properties of trapezoids. We will continue with more properties of quadrilaterals tomorrow.

__**Monday, February 6, 2012**__ Today, we reviewed a few more problems related to angles in a quadrilateral and the properties of trapezoids and kites. We will have a quiz on these topics tomorrow. After the review, we looked at a few conjectures related to midsegments in a triangle or a trapezoid. We worked on a couple of practice problems to use these conjectures. We will continue with more on these conjectures later in the week.

__**Thursday, February 2, 2012**__ Today, we looked at a few problems that can be solved using the properties of kites and trapezoids. Then, we worked on more problems to review these conjectures, and the conjectures related to the exterior and interior angles in a polygon. We will have a quiz on these conjectures next week.

__**Wednesday, February 1, 2012**__ Today, we looked at a few problems that can be solved using the new conjectures we learned yesterday. Then, we worked on more practice problems to apply these conjectures related to trapezoids and kites, as well as the Polygon Sum and Exterior Angle Sum conjectures. We will continue with more about these conjectures tomorrow.

__**Tuesday, January 31, 2012**__ Today, we reviewed how to solve problems using the Polygon Sum Conjecture (the sum of the interior angles of a polygon) and the Exterior Angle Sum Conjecture (the sum of the exterior angles of a polygon). Then, we explored a number of conjectures related to the properties of kites and trapezoids. We will work with these conjectures to solve problems about kites and trapezoids tomorrow.

__**Monday, January 30, 2012**__ Today, we took the second predictive test. We will continue with more properties of quadrilaterals and polygons this week.

__**Thursday, January 26, 2012**__ Today, we began a new unit on polygons and their properties. We talked about the interior angles of different kinds of polygons (triangle, quadrilateral, pentagon) and the exterior angles of these polygons. We then looked at conjectures for the sum of the interior angles and the sum of the exterior angles of polygons with different numbers of sides. We will continue with more polygons next week.

__**Wednesday, January 25, 2012**__ Today, we took a test on Chapter 4 - covering different kinds of proofs, triangle congruence, and triangle properties.

__**Tuesday, January 24, 2012**__ Today, we reviewed the answers from the chapter 4 practice assessment. We then addressed any remaining questions about proofs, triangle congruence, and triangle properties. We will have a test on these topics tomorrow.

__**Monday, January 23, 2012**__ Today, we looked at one more example of a two column proof for a triangle congruence problem. We then began to work on a practice assessment to review the properties of triangles and the different types of proofs. We will have one more day of review tomorrow, and have a test on proofs on Wednesday.

__**Thursday, January 19, 2012**__ Today, we looked at one more example of a flowchart proof. We also talked about how the same proof can be written in the form of a two column proof. The two column proof is an alternate way of organizing the information in a proof. We looked at one additional example of a two column proof, and then students worked on creating their own two column proofs for different problems. We will work on more proofs next week and have a test on proofs on Wednesday.

__**Wednesday, January 18, 2012**__ Today, we reviewed two problems that can be solved using properties of isosceles triangles and the Vertex Angle Bisector Conjecture. We then continued to work on more flowchart proofs for problems related to the triangle congruence conjectures and CPCTC. We will continue with more proofs tomorrow, looking at two column proofs as an alternate way of organizing a proof.

__**Tuesday, January 17, 2012**__ Today, we reviewed the definitions of isosceles triangle, altitude, median, and angle bisector. Then, we looked at a new conjecture called the Vertex Angle Bisector Conjecture. We looked at how to write the proof of this conjecture as a flowchart proof. We also looked at the Equilateral/Equiangular Triangle Conjecture, and how to write the flowchart proof for this conjecture. We will continue with more flowchart proofs tomorrow.

__**Friday, January 13, 2012**__ Today, we reviewed a few more examples of how to use the different triangle congruence conjectures (SSS, SAS, ASA, and SAA) and the CPCTC conjecture. We then looked at a new way to organize proofs for these kinds of problems - called a flowchart proof. We worked on a few examples of how to use these types of proofs. We will continue with more flowchart proofs next week.

__**Wednesday, January 11, 2012**__ Today, we reviewed what it means for two triangles to be congruent and what this can tell us about the corresponding sides and angles in the triangles. We then looked at the CPCTC conjecture (Corresponding Parts of Congruent Triangles are Congruent). Finally, we worked on practice problems in which we used the different congruence conjectures to show that two triangles are congruent, and then used CPCTC to list the other information we could tell from that. We will continue with more CPCTC proofs on Friday.

__**Tuesday, January 10, 2012**__ Today, we took a quiz on the four different triangle congruence conjectures we learned last week - SSS, SAS, ASA, and SAA. We will look at more conjectures related to triangle congruence tomorrow and Friday.

__**Monday, January 9, 2012**__ Today, we reviewed how to use the four different triangle congruence conjectures we learned last week - SSS, SAS, ASA, and SAA. We then worked on a number of different problems to practice using these conjectures to prove that two triangles are congruent. We will have a quiz on these conjectures tomorrow.

__**Friday, January 6, 2012**__ Today, we looked at two new conjectures that can be used to show that two triangles are congruent. We learned the Angle-Side-Angle (ASA) Conjecture and the Side-Angle-Angle (SAA) Conjecture. We then worked on a few different problems to practice using these conjectures. We will work more with these conjectures next week.

__**Wednesday, January 4, 2012**__ Today, we reviewed the Side-Side-Side (SSS) and Side-Angle-Side (SAS) Conjectures. We then worked on more examples of how to use these conjectures to show that two triangles are congruent and worked on practice problems for using these conjectures. We will continue with more conjectures for the rest of this week.

__**Tuesday, January 3, 2012**__ Today, we began to look at different conjectures that can be used to show that two triangles are congruent. We looked at the Side-Side-Side (SSS) and Side-Angle-Side (SAS) Conjectures. We then looked at a few examples of how to use these conjectures to show that two triangles are congruent and worked on practice problems for using these conjectures. We will continue with more conjectures for the rest of this week.

__**Thursday, December 22, 2011**__ Today, we took a quiz on sections 4.1-4.3 - covering the Triangle Sum Conjecture, Isosceles Triangle Conjecture, Triangle Inequality Conjecture, Side-Angle Inequality Conjecture, and Exterior Angle Conjecture. We also previewed the next section we will work on after the break, looking at different conjectures that can be used to show that two triangles are congruent.

__**Tuesday, December 20, 2011**__ Today, we worked on review problems using the Triangle Sum Conjecture, Isosceles Triangle Conjecture, Triangle Inequality Conjecture, Side-Angle Inequality Conjecture, and Exterior Angle Conjecture. We will have a quiz on these conjectures on Thursday.

__**Monday, December 19, 2011**__ Today, we reviewed how to solve problems using the Side-Angle Inequality and Exterior Angle Conjectures. We also reviewed the Triangle Inequality Conjecture and how it can be used. Finally, we worked on practice problems to use these three conjectures. We will have a quiz on Thursday on these conjectures, along with the Triangle Sum Conjecture and Isosceles Triangle Conjecture. We will review all of these conjectures during our next class before the quiz.

__**Friday, December 16, 2011**__ Today, we learned about a few new conjectures related to the sides and angles of a triangle. We talked about the Triangle Inequality Conjecture, the Side-Angle Inequality Conjecture, and the Exterior Angle Conjecture. Then, we looked at a proof for the Exterior Angle Conjecture. Finally, we worked on some practice problems to use these new conjectures.

__**Thursday, December 15, 2011**__ Today, we worked on test corrections for the Chapter 3 test on the parts of a triangle, points of concurrency, and the related conjectures. We will continue to look at more properties of the sides and angles in a triangle tomorrow.

__**Tuesday, December 13, 2011**__ Today, we reviewed how to use the Isosceles Triangle Conjecture to solve problems and find missing angles in a triangle. Then, we worked on more practice problems using the Isosceles Triangle Conjecture and the Triangle Sum Conjecture. We will continue with more triangles and conjectures on Thursday.

__**Monday, December 12, 2011**__ Today, we reviewed how to use the Triangle Sum Conjecture to solve problems and find missing angles in a triangle. Then, we began to look at some of the vocabulary used to describe isosceles triangles. We also looked at the Isosceles Triangle Conjecture and the converse of this conjecture. Finally, we worked on practice problems in which we used these conjectures to find missing angles in a diagram. We will continue with more isosceles triangles tomorrow.

__**Friday, December 9, 2011**__ Today, we began a new chapter about triangle properties and congruence. We looked at a few different conjectures related to the angles in a triangle - including the Triangle Sum Conjecture and the Third Angle Conjecture. We also began to look at how to write proofs in Geometry by looking at the proofs for these two conjectures. We will continue with more properties of triangles and their angles on Monday.

__**Thursday, December 8, 2011**__ Today, we took a test on Chapter 3 - covering the parts of the triangle (median, midsegment, angle bisector, segment bisector, perpendicular bisector, and altitude), the points of concurrency (incenter, circumcenter, orthocenter, and centroid), and the related conjectures. Tomorrow, we will begin a new chapter about triangle congruence.

__**Tuesday, December 6, 2011**__ Today, we reviewed the topics that will be on the Chapter 3 test on Thursday. We looked over the quizzes from two weeks ago on the vocabulary and conjectures related to the parts of a triangle. We also reviewed the worksheets from the last two classes on different points of concurrency. The test will cover these parts of the triangle, the related conjectures, and the points of concurrency.

__**Monday, December 5, 2011**__ Today, we reviewed how to solve problems using the centroid conjecture. Then, we reviewed the different vocabulary and conjectures related to the different points of concurrency in a triangle. Finally, we worked on practice problems to review how to use the angle bisectors and the incenter of a triangle to solve problems and find missing values. We will have a review day for chapter 3 tomorrow and then have a test on chapter 3 on Thursday.

__**Friday, December 2, 2011**__ Today, we reviewed how to solve problems and find missing values in a triangle using the centroid conjecture. We then worked on a number of different practice problems in which we used the properties of medians and centroids to solve for missing values. We looked at examples using both numbers and expressions in terms of x.

__**Thursday, December 1, 2011**__ Today, we reviewed what the median of a triangle is and how to sketch a picture of it. Then, we looked at one more point of concurrency in a triangle, called the centroid - which is the point where the three medians intersect. Next, we looked at a conjecture that tells us the relationship between the parts of the median broken up by the centroid. Finally, we looked at a few of examples of problems we can solve using this centroid conjecture. We will continue with more tomorrow.

__**Tuesday, November 29, 2011**__ Today, we reviewed the different conjectures about the points of concurrency in a triangle - including the incenter, circumcenter, and orthocenter. We also reviewed the definition of the points of concurrency and looked at what it means for a circle to be inscribed in a triangle or circumscribed about a triangle. We then used these conjectures to solve some word problems involving the different points of concurrency. We will continue to look at more points of concurrency on Thursday.

__**Wednesday, November 23, 2011**__ Today, we worked in Geometer's SketchPad to explore the different points of concurrency in a triangle - incenter, circumcenter, and orthocenter. We will look more at these on Monday.

__**Tuesday, November 22, 2011**__ Today, we took a quiz on the vocabulary and conjectures related to different parts of a triangle. We then looked at definitions and conjectures related to points of concurrency in a triangle. We will look at an activity related to these points of concurrency tomorrow.

__**Friday, November 18, 2011**__ Today, we looked at some true/false statements that can be answered using the conjectures we learned this week. Then, we worked on review problems to practice using the different vocabulary terms and conjectures related to the parts of a triangle that we have learned this week. We will have a quiz on these topics on Tuesday.

__**Thursday, November 17, 2011**__ Today, we reviewed how to use the Perpendicular Bisector Conjecture, Shortest Distance Conjecture, and Angle Bisector Conjecture. We looked at how they can be used to interpret diagrams and solve problems. We also looked at a few different statements that we can prove using these conjectures. We will review the different conjectures, and the parts of a triangle, tomorrow.

__**Wednesday, November 16, 2011**__ Today, we reviewed how to identify a median, altitude, and an angle bisector in a triangle. We also looked at what an altitude may look like in an obtuse triangle. Then, we began to look at some of the conjectures we will use in this unit regarding the different parts of a triangle. We looked at the Perpendicular Bisector Conjecture, the Shortest Distance Conjecture, and the Angle Bisector Conjecture. We will work more with these conjectures tomorrow.

__**Tuesday, November 15, 2011**__ Today, we began a new unit in which we will explore some of the vocabulary of the parts of triangles, properties of these parts, and conjectures about these parts and their relationships to the triangle. We began by looking at some of the new vocabulary terms we will encounter in this unit, including segment bisector, angle bisector, median, etc. We worked on an activity in which we matched these terms to diagrams. We will explore more about these terms tomorrow.

__**Thursday, November 10, 2011**__ Today, we looked at what it means for two lines to be parallel and what it means for two lines to perpendicular. Then, we looked at examples of how to find the equation of a line through a given point and either parallel or perpendicular to a given line.

__**Wednesday, November 9, 2011**__ Today, we took a test on the following topics - angle conjectures (vertical, linear, etc.) and finding and graphing equations of lines, given two points.

__**Monday, November 7, 2011**__ Today, we worked on review problems to prepare for Wednesday's test. The test will cover the following topics - angle conjectures (vertical, linear, etc.) and finding and graphing equations of lines, given two points. We also looked over the last quiz and worked on correcting the questions that were wrong, as well as reviewed problems from Friday's homework.

__**Friday, November 4, 2011**__ Today, we reviewed how to find the equation of a line given two points, and how to then graph the line. We also looked at how to find the equation of a line if we are given the graph. We then looked at the topics that will be covered on the Chapter 2 test next week - angle conjectures (vertical, linear, etc.) and finding and graphing equations of lines, given two points. We also worked on reviewing for the test. We will continue to review on Monday and the test will be on Wednesday.

__**Wednesday, November 2, 2011**__ Today, we continued to look at equations of lines in slope-intercept form. We first reviewed how to find the equation of a line in slope-intercept form, given two points. Then, we looked at how to find the equation given different types of information. Finally, we looked at how to use the equation - with the slope and the y-intercept of the line - to graph the line. We will continue with more on Friday.

__**Tuesday, November 1, 2011**__ Today, we reviewed how to find the slope of a line containing two points. Then, we talked about what the slope-intercept form equation of a line looks like. The equation of a line will always be in the form y=mx+b, where m is the slope and b is the y-intercept. We then looked at some examples of how to find the equation of a line containing two points, and worked on some practice problems.

__**Monday, October 31, 2011**__ Today, we reviewed how to find the function rule for a linear sequence of numbers. Then, we began a mini-unit on slope and linear equations. Today, we defined what the slope of a line represents, and how to find the slope of a line given two points. We worked on a few examples of finding the slope of a line, and will continue with more tomorrow.

__**Friday, October 28, 2011**__ Today, we took a quiz on the different angle conjectures we have learned this week - the Vertical Angles, Linear Angles, Corresponding Angles, Alternate Interior Angles, and Alternate Exterior Angles Conjectures. We then looked at some of the questions we will answer next week, related to slope and linear equations.

__**Wednesday, October 26, 2011**__ Today, we reviewed the types of problems that can be solved using the Corresponding Angles, Alternate Interior Angles, and Alternate Exterior Angles conjectures. Then, we worked on some practice problems to review these three conjectures, along with the Vertical Angles and Linear Pair conjectures. We will have a quiz on all of the conjectures on Friday.

__**Tuesday, October 25, 2011**__ Today, we looked at the angles that are formed by a transversal intersecting two other lines. We then talked about three new conjectures - the Corresponding Angles, Alternate Interior Angles, and Alternate Exterior Angles conjectures, which involve a transversal intersecting two parallel lines. Finally, we used these conjectures to find missing angles in a diagram. We will continue with more angle conjectures tomorrow, and have a quiz on Friday.

__**Monday, October 24, 2011**__ Today, we continued to look at the Linear Pair Conjecture and the Vertical Angles Conjecture. We reviewed the definitions of these two conjectures, and reviewed some of the problems we worked on in class on Friday. We also practiced writing out each step of the process of solving these problems, and justifying the steps using the conjectures.

__**Friday, October 21, 2011**__ Today, we began to look at some of the relationships between different types of angles. We learned the Linear Pair Conjecture - which states that the sum of the measures of two linear angles is 180 degrees - and the Vertical Angles Conjecture - which states that two vertical angles are congruent. We then solved a number of problems using these two conjectures. We will continue with more angle relationships next week.

__**Wednesday, October 19, 2011**__ Today, we looked at some more examples of inductive and deductive reasoning. We continued to explore the diagonals problem that we looked at yesterday, and explored how to write an equation that can be used to find the number of diagonals in a polygon. We also looked at a similar problem related to the number of line segments needed to connect //n// points on a plane.

__**Tuesday, October 18, 2011**__ Today, we continued to look at how to identify patterns and use inductive reasoning. We worked on an activity in which we explored the number of diagonals in a polygon. The activity involved drawing a few different convex polygons (with 3 sides, 4 sides, 5 sides, etc.) and finding the number of diagonals in each. We then created a table comparing the number of sides and diagonals, and used the table to find a pattern in the number of diagonals.

__**Monday, October 17, 2011**__ Today, we reviewed how to find the function rule for a linear sequence of numbers. Then, we talked about how this rule can be used to find any number in the sequence. We then worked on a few different activities to practice using inductive reasoning and identifying patters. We will continue with more patterns and inductive reasoning tomorrow.

__**Friday, October 14, 2011**__ Today, we looked at how to find the next few terms in a number sequence. Then, we talked about how to write a general rule for a sequence in which there is a common difference (called a linear or arithmetic sequence). This general rule, called a function rule, will allow us to find any term in the sequence. We worked on a number of examples on how to find this function rule. We will continue with more function rules, and with using Inductive Reasoning to find the general rule, next week.

__**Wednesday, October 12, 2011**__ Today, we reviewed how to find the next shape in a pattern using inductive reasoning. Then, we talked about deductive reasoning, in which we can prove that statements are true using different well-known rules or facts. We looked at examples of how we can use deductive reasoning to justify the steps we use to solve an Algebra problem. Finally, we looked at a case in which we used inductive reasoning to find a pattern and make a conjecture about obtuse angles, and then used deductive reasoning to prove that conjecture using the properties we know for angles.

__**Tuesday, October 11, 2011**__ Today, we began Chapter 2, in which we will explore different methods for making an argument or proving a statement in Geometry. We looked at the first of these methods today, called Inductive Reasoning. In this type of reasoning, we collect data and find patterns in the data, then use these patterns to make generalizations, or conjectures. We looked at a few examples of how inductive reasoning is used when finding rules for patterns of numbers or shapes.

__**Friday, October 7, 2011**__ Today, we took the Chapter 1 test, which covered the vocabulary and notation for different objects in Geometry, how to mark diagrams and interpret marked diagrams, and the vocabulary and properties of triangles, quadrilaterals, and circles.

__**Thursday, October 6, 2011**__ Today, we worked on review problems from Chapter 1 and reviewed our first two quizzes, in preparation for tomorrow's Chapter 1 test. The test will cover the vocabulary and notation for different objects in Geometry, how to mark diagrams and interpret marked diagrams, and the vocabulary and properties of triangles, quadrilaterals, and circles.

__**Tuesday, October 4, 2011**__ Today, we worked in the computer lab to explore Geometer's SketchPad. We used this program to create sketches on the computer of the different shapes we have learned about in our first chapter.

__**Monday, October 3, 2011**__ Today, we took the first Predictive Test.

__**Wednesday, September 28, 2011**__ Today, we took a quiz on triangles, quadrilaterals, and the vocabulary of circles. Then, we reviewed how to describe different types of angles. Next week, we will take the predictive test, work on Geometer's Sketch Pad, and take a test on the first Chapter.

__**Tuesday, September 27, 2011**__ Today, we explored the different vocabulary associated with circles. We talked about what is meant by arc, arc length, semicircle, radius, diameter, chord, and tangent. We also talked about how one can determine if statements about a diagram are true, might be true, or are false. We will have a quiz tomorrow on triangles, quadrilaterals, and the vocabulary of circles.

__**Friday, September 23, 2011**__ Today, we reviewed the properties of different types of quadrilaterals, including squares, rectangles, and parallelograms. Then we continued to practice with classifying different quadrilaterals based on their properties. We will look at circles and the vocabulary associated with circles next week.

__**Thursday, September 22, 2011**__ Today, we reviewed continued to look at different types of quadrilaterals. We reviewed the definitions for trapezoid, kite, parallelogram, rhombus, rectangle, and square. Then, we looked at Frayer Models for each of them to get an idea of the similarities and differences of these shapes. Finally, we practiced with classifying shapes into these categories based on their properties.

__**Wednesday, September 21, 2011**__ Today, we reviewed the definitions for different types of special triangles. We looked at right, obtuse, acute, equilateral, isosceles, and scalene triangles. We then looked at the different types of special quadrilaterals. We looked at the definitions for trapezoid, kite, parallelogram, rhombus, rectangle, and square. We will continue with more about these quadrilaterals tomorrow.

__**Tuesday, September 20, 2011**__ Today, we learned a number of different vocabulary terms associated with polygons. We talked about what a polygon is, how different polygons are classified based on the number of sides, and how two polygons can be congruent. Tomorrow, we will continue to look more in depth at different types of quadrilaterals.

__**Friday, September 16, 2011**__ Today, we watched the movie Flatland to learn more about the vocabulary of Geometry. Then, we discussed a writing assignment based on the movie that students will have to complete by Wednesday of next week for a mini-project grade.

__**Thursday, September 15, 2011**__ Today, we took a quiz to cover the vocabulary and notation we have learned so far, as well as how to mark diagrams and and interpret marked diagrams. Then, we looked at how different types of triangles can be classified based on their sides and their angles.

__**Wednesday, September 14, 2011**__ Today, we continued to look at how to interpret markings in diagrams. We started by reviewing how to interpret markings and write down information about congruent line segments, midpoints, congruent angles, and angle bisectors. Then, we looked at how to write markings on a diagram when we are given information about midpoints and angle bisectors. We will have a quiz tomorrow covering marked diagrams, vocabulary, and notation.

__**Tuesday, September 13, 2011**__ Today, we reviewed some of the vocabulary words from last week. Then, we talked about more of the notation used in Geometry, specifically the notation used when labeling diagrams. We talked about congruent and parallel line segments, midpoints, congruent angles, and angle bisectors. Tomorrow, we will continue with how to interpret markings in diagrams and how to label diagrams with given information.

__**Friday, September 9, 2011**__ Today, we continued to review more vocabulary from Chapters 0 and 1 and completed our Frayer models for two of these vocabulary words. Then, we looked at the different notations used for points, planes, lines, line segments, and arcs. We also looked at the vocabulary used to described different types of angles. Finally, we completed a review activity for how to sketch a diagram using the drawing tools.

__**Thursday, September 8, 2011**__ Today, we finished the drawing activity by practicing how to use a compass to draw a circle. Then, we looked at how to use the Frayer model to define a word and give examples and counterexamples. We then worked on completing two Frayer models words in our Chapters 0 and 1 vocabulary list.

__**Wednesday, September 7, 2011**__ Today, we began to learn some of the vocabulary terms from Chapter 1, which will form the building blocks of Geometry. We talked about points, lines, line segments, and planes, and how they are named. Then, we began an activity to practice using rulers, protractors, and compasses, which are the three main drawing tools of Geometry. We will continue with the activity tomorrow.