We reviewed for the final exam in geometry.
10-6 Secants, Tangents, and Angle Measures – We reviewed formulas for calculating angles where secants and tangents meet outside of a circle. Then we derived the equation of a circle with a given center and radius using the Pythagorean theorem. We used the equation of a circle to graph it on a coordinate plane.

13-3 Geometric Probability – We learned to analyze areas with geometric probability. We calculated the probability that a point chosen at random lies in a certain region. Then we learned that two events are independent if the probability of occurring together is the product of their probabilities. Events are dependent if the probability of one occurring in some way changes the probability of the other.

We reviewed for the final exam in geometry.
10-6 Secants, Tangents, and Angle Measures – We constructed tangent lines from points outside of a circle. We learned to use the Segments of Chords Theorem to find the lengths of chords in circles. We used the quadratic function when the equations could not be factored.

12.2 Surface Areas of Prisms and Cylinders – We understand that cylinders have congruent bases. We applied geometric methods to solve problems. We could design an object or structure to satisfy physical constraints or minimize cost.
12-3 Surface Areas of Pyramids and Cones – We understand the difference between the slant height and height of the pyramid. The slant height is the height of the lateral face, while the height is the altitude of the pyramid. We learned to use trigonometric ratios to find the length of the apothem and the area of the base. We understand that in an oblique cone the axis is not the altitude.

12.2 Surface Areas of Prisms and Cylinders – We learned to apply geometric methods to solve problems. These methods can be used to design an object or structure to satisfy physical constraints or minimize cost. We understand how to work with typographic grid systems based on ratios.
12-3 Surface Areas of Pyramids and Cones – We practiced finding lateral areas and surface areas of pyramids and cones. We learned to use geometric shapes, their measures, and their properties to describe objects.

11.5 Areas of Similar Figures – We practiced finding areas of similar figures by using scale factors. Then we found the scale factors or missing measures given the areas of similar figures. We learned that architecture firms often hire model makers to make scale models and projects that are used to sell their designs. Since the base of a model is geometrically similar to the base of the actual building it represents, their areas are related.
12-2 Surface Areas of Prisms and Cylinders – We practiced finding the lateral areas and surface areas of prisms.

We used the Pythagorean Theorem to find the height of the trapezoid and then we calculated the area. We also calculated the areas of kites, rhombuses, and composite figures. Then we calculated the areas of sectors and regions of a circle to prepare for a test tomorrow.

We derived the equation of a circle of given center and radius using the Pythagorean Theorem. We use completing the Square to find the center and radius of a circle given by an equation. Then we used coordinates to compute perimeters of polygons and areas of triangles, parallelograms, trapezoids, and rectangles.

Lesson 10-1 Circles and Circumference – Hudson and I reviewed for a test on chapter 10. We reviewed the meaning of polygons inscribed and circumscribed inside a circle. We practiced measuring angles and arcs. Then we compared congruent arcs and chord lengths. Next, we looked at inscribed angles and intercepted arcs.

We worked on the preterit of Stem-changing verbs. We worked on comparisons using words such as more or less, better or worse, and minor or major. We practiced changing sentences to use double object pronouns.

Hudson prepared for a unit test on Spanish food. We completed fill in the blanks with the correct form of the preterit for stem changing verbs. We worked on rewriting sentences using Double Object Pronouns. For example, he’s going to bring us the dishes was replaced by he’s going to bring them to us. Then we answered questions in the affirmative using pronouns. Next, we worked on comparisons using words such as more or less, younger and older, and more or less.