We will review the topic of square roots and cube roots. We will do examples and identify the properties of square roots. Square roots are used frequently in studying right triangles.
Assignment
Know how to identify an irrational number.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We got a lot accomplished in our study of square roots. We also looked at placing square roots on a number line.
We will review methods to solve basic linear equations. We will apply the rule of four: equations can be solved 4 ways, numerically, symbolically, graphically, or verbally. We will do examples using all 4 approaches.
Assignment
Know the 4 parts of the rule of 4.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We had a good session. We did multiple examples. There are many problems in geometry that require equation solving.
We will complete the problem involving the orthocenter of a triangle. We will review the incenter, circumcenter, and centroid also.
Assignment
Know what the orthocenter, incenter, circumcenter, and centroid are all about.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We completed the problem and reviewed the concepts We will start a review of algebra 1 on Monday. We have identified a number of topics that need review.
We will do problems from chapter 5 in the text. This will involve a variety of problems involving angles, triangles, and parallel lines. The problems will also involve basic algebra concepts.
Assignment
Review geometric terms definitions.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We completed a variety of problems. We will continue to apply the concepts of geometry to solve problems.
We will continue doing problems that require use of the topics we learned in geometry. This will identify ares of the course that may need review as well as areas of strength.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We successfully completed the problems for today. We will work on certain definitions of geometric terms to assure understanding of concepts.
We will work through the next set of problems. The problems represent a variety of types of problems. We are noting areas for review as we work to the completion of the course.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
Ben is becoming a more confident problem solver when given specific geometry problems. He can put geometric facts together to solve multistep problems. We have not found any concepts that need review at this time.
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.
Chapter 10-8 Equations of Circles and Chapter 11 Areas of Polygons and Circles
Lesson Outline
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.
We will synthesize concepts of plane geometry onto the surface of a sphere. This will emphasize the importance of valid definition of terms. We will attempt to write our own definitions.
Assignment
Know the meaning of synthesizing a concept.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We had a challenging discussion about defining terms for figures on a sphere. As we looked at terms for spherical geometry we enriched our understanding of terms in plane geometry.
