These will not be posted on my website as they are copies of tests.

We did go over the second review and take questions.

Help session available Wed morning 8-8:45.

Attached below: answers to the two final reviews.

final_review_2_answers.pdf |

final_review_1_answers.pdf |

We began with a warm-up that contained problems from our right triangle test about trig ratios and finding area of isosceles triangles. Ms. Bogart checked to make sure that students had at least started their final review assignments.

Books may be turned in on the last block or the day of the final.

Students were able to check their final review assignment against Ms. Bogart's answer key. These will be posted closer to the final. We went over the warm-up and review quickly, but also hit some details that might be important on the final.

We then did some fill-in-the-blank, always/sometimes/never, and multiple choice from the polygon unit. And we shared answers and checked them.

Quizzes were returned. Two tests were returned and looked at for potential questions on the final.

All of these were collected at the end of class.

A second final review assignment (due next block) was handed to students in class. Attached below.

Both review assignments will be collected on the day of the final.

If you did not get the first assignment or the topic list, they are attached to the previous block's post.

Review session Monday 2:20-3:00 for zero hour students.

Wednesday 8:00-8:45 for all others.

spring_final_review_2.pdf |

A grade was taken on HW #15 (review for quiz). Questions were answered about the review after self-checking. A warm-up over naming of solids and surface area and volume of spheres helped us prepare for the "Quest" today.

The assessment was half the class time.

During the assessment, Final Review Topic List and Final Review Assignment #1 were handed out. If you left yours in class, they are attached below.

The first review (over 2 units) needs to be completed by the next block.

All we have remaining in the semester is final review assignments (15 pts total) and the final itself (20% of semester grade).

spring_exam_topics.docx |

final_review_assignment #1.docx |

Continue to next post for most information about Thurs-Fri class.

pre-ap_geometry_2018_volume_quiz_topics.docx |

Attached below are some helps on today's class for those of you who were not here.

There was a warm-up on solids of revolution and density (attached).

I took a grade on HW #14 and we went over it. (sorry, answers not attached... check next week).

We did some problems in class (those are mentioned and answered on the handout about solids of revolution).

HW #15 was assigned (unit review): p 554:1-13,2-22,28, p 454: 18.

Answers to the review are also posted.

HW #14 was entered incorrectly on the previous blog post; it was p 547 not 457.

solid_of_revolution_problem___answer.pdf |

answers_to_hw_15.pdf |

Surface area of a sphere is 4 times Pi times r^2.

In other words, 4 of the largest circles from cross-sections of a sphere would cover the sphere completely.

But a hemisphere has a base, so its surface is 3 times Pi times r^2.

HW #14: p 457: 1-6, and p 544:8,9,12-14. Show work and use of formulas.

On B day we practiced degrees, radians, & coordinates for a point on the unit circle.

Warm-up was p 532: 1 & 8.

We checked homework and showed lots of work as the homework was fairly difficult (HW #13).

I took a grade on HW #12 & #13 - 4 pts each.

Then we took the Unit Circle Quiz - 24 pts and worked on the new homework for the rest of class.

Attached: answers to HW #13 from the board.

answers_to_hw_13.pdf |

Dates: Quiz over unit circle degrees, radians, and coordinates (6 sketches given, questions are just like the last test), Tues-Wed, May 8-9 - 24 pts.

Big Quiz over volume and 3-dimensional geometry - May 15-16, 40-50 pts.

Finals over spring semester content - May 21-24, 20% of semester grade.

Today in class we learned three things:

- how to interpret a solid of revolution (what 3-dimensional figure forms when this 2-D figure spins around an axis?) and find its volume;
- formula for volume of a sphere = 4/3 time pi times r^3; hemisphere is 2/3 not 4/3. p 542
- irregular volume: an irregular solid placed in a tank of water will displace its volume. There are a few density problems associated with this (p 535)

We went over HW #12 in detail to make sure everyone has a chance to master the content. (mostly volume of pyramids and cones).

1st period learned about 2-d figures formed when a solid is sliced by a plane.

There was quite a bit of time in class to practice while students were able to (finally) view their tests. Those will posted Tuesday, along with adjustments to the last quiz.

In class practice: p 84:18-21, p 526: 16-18.

HW #13 - p 532:3-5,7,10-11, p 536:1-4, p 543:1-6.

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practice naming solids based on demonstration, GT, and reading pp 505-507

discover and apply formulas for pyramids and cones (V=1/3 BH) where b is area of base, H is height of solid.

cross-sections of solids demonstration - what two dimensional figure do you see when you slice a solid with a plane.

A grade was taken on HW 11 and the assignment was shared, debugged and corrected during class.

Solids were named with all possible names from images on the screen.

A demonstration by students with black beans filling up a cone and transferring to a cylinder showed that the volume of a cone is 1/3 the volume of the cylinder with same radius and height.

We practiced 3-4 problems with pyramids and cones.

Then Ms. Bogart demonstrated what we mean by cross-sections of solids. Solid models were used, some of which had easy to see cross-sections. There is no homework over this yet.

HW #12 is p 518: 9,15 and p 425: 1-9,14. On all volume problems, write out the correct formula, show the values substituted for the variables, and then you may use the calculator to get "the answer". Try some mental math skills if you can.

We will have a Trig Quiz for 24 pts on Tues-Wed next week. The Unit Quiz - 50 pts - over volume and related topics is May 15-16.

No attachments today.

If you were absent today, you might want to Google a short video or images of cross sections of geometric solids.

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I am planning a 24 pt quiz over the Unit Circle early next week. The questions will be just like the two questions on the previous unit test: a sketch with a point on the unit circle marked to find degrees, radians, and coordinates.

I used some models of geometric solids to introduce students to terms like "face", "edge", "vertex", "polyhedron (classified by number of faces)", "regular polyhedron".

Students figured out how to find volume of prisms and cylinders (Volume = area of the base times the height of the solid). We practice a couple of problems and also worked backward to find missing dimensions if you know the volume.

Students were assigned HW #11 - p 509:10-22 and the first chart on #37, plus p 517-8: 1-6, 11-13. On pp 517-8, students must show use of the correct formula.

If not already done, definitions and sketches for the following terms should be entered into Geometric Truth in student's notebook:

from pp 504-507:

polyhedron (copy labeled sketch) - mention face, edge, vertex.

regular polyhedron

prism (mention bases, lateral faces)

sphere (mention great circle)

hemisphere (mention base)

Please make arrangements for make-up tests ASAP! Thank you!

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Then they took the test over Circles.

There was no homework.

No grades were taken.

Make-ups need to be arranged quickly as we are running out of time!

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