Grades Have Been Finalized!

The title says it all!  Have a great summer!

Final Grades

While I have entered the semester final, I am still in the process of entering other grades, extra credit, etc.  I will make another post here when I have finished and grades have been finalized.

Making Your 3-D Object

As you assemble your 3-D object by cutting out the net, you might be puzzling over how to make a good base that looks like a regular polygon (especially if you chose to use a base with more than 4 sides).  A protractor is your friend here.  You have learned earlier in the year how to calculate a single interior angle of a regular polygon, so put that knowledge to use and find the measure of one interior angle of your base.

Make sure to use a material that is more sturdy than paper for your physical object.  Please attempt to make the spike as sturdy as possible.  How else will I be able to impale next year's students upon the door?  Just kidding, but do make it stable so it can stand the test of time!

If you're not making a cone, then all of your lines should be drawn with a straight edge.  If you are making a cone, getting a good looking net can be a little difficult.  You can use the first way here to make the spike without spending too much time on the perfect net.

For inspiration, here's one of the top impalers of all time*:

*edited for appropriateness, original credit to Jake Likes Onions

Semester Review Solutions

For the Ch 7 & Ch 8 Review - definitely give problems 12,13,18-21 from Ch 7 and 10-27 from Ch 8 a try.  You can find answers here.  Remember, we did no do sections 7.5, 7.6, 8.5 or 8.6 so skip those problems!

Here are the solutions to the semester practice final!  Below are a few corrections to those solutions.  

#6 the answer should be D

#17 the question should read" What is the area of an equilateral triangle with side length 10?"

#23 the answer should be C

On test day, do not have your phone out at any point in time, from the moment you enter the room until you leave.  I recommend leaving it in your locker.  Your calculator memory will be cleared.  When this happens, your calculator will reset into Radian Mode.  Make sure you change it back to Degree Mode.

If you do not turn in your book during finals, you must turn it in on Tuesday.  You can find me in room 351 after school and can turn it into me there if you are missing class to make up a final.

Hall Passes

I will be collecting your hall passes for the semester before the final exam starts.  Make sure you have yours in class to turn in!  No passes will be issued to get it, no late passes will be accepted.  You will also need to turn in your book before the final exam starts.

Surface Area Flip Book & Volume of Composite Solids

Take a look at the solutions to the Volume of Composite Solids.

As requested, here is a list of answers to the Surface Area portion of the flip book.

   9) 846 sq mm
 10) 662.4 sq ft
 11) 352.5 sq cm
 12) 1583.4 sq km
 13) 138 sq m
 14) 384 sq yd
 15) 225.5 sq in
 16) 648 sq ft
 17) 197.3 sq m
 18) 1,330 sq km

First Spikey Door Project Deadline

The first project deadline looms close (Tuesday, June 13th), so I wanted to clarify what I am looking for.  You need to show me your scaled drawing (the 3D version and the net).  You don't need your surface area or volume calculations yet.  However, you will want to make sure your surface area and volume fall within the specified parameters .  Though you should be able to calculate the surface area of your spike, you can use the following links to help you calculate the volume of your solid.

• Pyramid Calculator
• Cone Calculator

Below, you can see an example of some sample work.  This work is fairly neat and well organized.  They have drawn the net and shown the calculations for surface area broken down into lateral surface area (LSA), base area, and then total surface area (TSA).  Make sure to leave room for your volume calculations and .  You can also see the scaled 3-D drawing using perspective and labels.  

Remember, you may not use these measurements for your own spike!

Don't forget to print off a copy of the rubric to submit with your project!  Grab it here!

Semester Review

Here is a link to a practice final from a few years ago.  The questions that you should focus on are 1-8, 14-46.

Geometry Extra Credit Opportunity

Project Spikey Door – Building a 3-D Object

In this project, you will build and decorate a 3-D object of your own design, and you will calculate the surface area and volume of this object. As part of the write-up, you will show step-by-step how you arrived at your calculations.

Design

• You’ll design either a cone, or a pyramid with a regular-polygon base. A square base is fine, but a base with >4 sides is worth a small bonus. 
• As a general guideline for size, the base of your object should have an area between 150 and 250 square centimeters. Overall, your object should have a volume between 750 and 2000 cubic centimeters.
• You may collaborate with classmates but everyone must submit their OWN object, drawings, and calculations.
• By the end of class Tuesday, June 13^th, you should have a scale drawing of a net for your object, with all the important dimensions labeled. For example: radius, base edge length, slant height, lateral edge length.
• You may want to design, cut out, and test several prototypes before settling on your design.

Building

• You will need to build your object.  Consider using poster-board or something thicker than regular paper and decorating your object.
• By the end of the day on Monday, June 19th, you should have your labeled scale drawing of the net, and your 3d object. Leave it in class and make sure your name is written on the bottom.

Calculations and Presentation

• You will need to draw a 3-dimensional picture of your object. All important lengths must be labeled in the diagram. For example: radius, height, base edge length, slant height, lateral edge length.
• You will be calculating the volume, lateral surface area, and total surface area of your object. For full credit, show all formulas used, substitutions, and label results with appropriate units of measure. You will need to submit a neat sheet of calculations, complete with all work and explanations in your own words. The clarity, accuracy, and organization of your math work will make up the majority of your project grade.
• Every submitted object must be appropriately decorated and attractive.

Grading Rubric

Scoring                                                                       Name: _______________________

	Your Score	Max Score
1. Turn in this page, neatly stapled with the two required drawings and two required calculations.		1
2. Your design is a Pyramid with a square base or a Cone (Pyramid with regular polygon base with > 4 sides: +1 bonus)		6
3. Your design follows the size guidelines.		3
4. Scaled drawing of net is turned in, accurate, and neatly labeled.		10
5. 3-d object is turned-in, neatly constructed, and attractively decorated		12
6. Drawing of 3-d object is turned-in, neat, and accurately labeled.		8
7. Volume calculation is submitted, including all formulas used, substitutions, and results labeled with appropriate units of measure.		10
8. Total surface area calculation is submitted, including all formulas used, substitutions, and results labeled with appropriate units of measure.		10
Final Score		60

For every 6 points you gain on the rubric, you will earn a point of extra credit on the Ch 9-10 exam.

Ch 9 & 10.1 Alternative Assessment

Please fill out this form to reserve a time to take the Ch 9 & 10.1 Alternative Assessment.  You will receive an email confirming your reservation time and the location.  If you are unable to make any of these times, please email me so we can discuss.  If you choose to take the Alternative Assessment, it will replace your Ch 9 & 10.1 Quiz grade.

The topics covered are:

• Area of 2-D figures (majority of quiz)
• Triangles, rectangles, parallelograms, trapezoids, circles, regular polygons
• Identifying Solids
• Cross-sections of Solids
• Nets

The form will close at 8 PM and a confirmation of your time slot will be sent out shortly thereafter.

Powerpoint for Surface Area

As requested, here is a copy of the powerpoint we used today.  We covered slides 1-9.

Area of Regular Polygons & Composite Figures Solutions

Please take a moment to check your work from last week.  I will be available tomorrow after school to answer any questions.

• Solutions to Area of Regular Polygons (Wednesday 5/24)
• Solutions to Area of Composite Figures (Thursday 5/25)

Also, check out M. C. Escher, an artist who has mastered the optical illusions that drawing 3-D objects on a 2-D page offers.  Visit his official site and check out some of his mathematically inspired art!

Easy Access for Area Practice

Here are the links to the two assignments from last week:

• Regular Polygons
• Composite Figures

SAT Practice

Today we will be working on SAT style questions based around triangles and triangle properties.  You will need to complete the triangle portion of this packet in class.  At the beginning of each section is a review of triangle concepts which you can scan through quickly before starting the practice problems.  You will complete the practice problems on a separate sheet of paper.  You must show work to receive full credit for the problems.  You must turn in your work at the end of the period.

If you finish the two triangle sections, try your hand at polygons!

Area of Composite Figures

Today, you will be putting your knowledge of different area formulas to work to find the area of composite figures.  Click here for your prompt.

Area of Regular Polygons

Good morning!

All of the work that we have been doing has been to find the AREA of a regular polygon!

Thanks to our knowledge of special right triangles and trigonometry, we can always find the apothem and side length of any regular polygon.  Complete page 7 of the packet, applying the above formula to find the area and submit the entire packet before the end of the period.  Then click here for your practice/homework.

Similarity & Trig Exam Review Solutions

You can find solutions to the review and book work here!

You will most definitely need a calculator for tomorrow's test, so please come to class prepared, as I will not have calculators to lend out.

Measuring Angles in Right Triangles

You can access your prompt for the day here!

To see what angle you have been assigned, please visit this page.

I will be looking to see that you have completed the practice problems tomorrow.

Homework (5/2)

Good afternoon -

There have been several questions about what I am expecting to be completed in the homework.  To clear up things, I will be looking specifically to see that 1-24 have been completed.

T-Shirt Opportunity

My Discrete Math classes are going on an awesome field trip to take and analyze stats at a Cubs game and have designed a shirt (hence the cub on the shirt)!  If you like the look of this shirt and would care to order one, you can place an order here:  http://www.customink.com/g/mad0-00b0-4093

Here's what they will look like!

Orders close on Tuesday, May 2nd, so you will have to order by tonight.  Payment must be made online.  I am unable to accept cash.  If you are unable to make an online payment, please let me know and we will figure something out.