Fix-it Friday: Clogged Vacuum Cleaner

The patient presents with a red indicator, indicating a clog.  So first we do what the instructions say and clean out the filter and let dry completely.  Since I thought this would be it, I didn't take a picture.  This is usually the problem, but this time with the completely clean and dry filter assembly, still red.  So lets take it apart.  Most likely place for a clog is in the bottom:

 If you look at the image carefully there is a pro-tip from the manufacturer: "Use a screwdriver to take out the screws."  Thanks Hoover, I couldn't have figured that out on my own.  After unscrewing the screws with a screwdriver (who would have thunk?) the problem becomes clear:

Look at that big ugly piece of fluff, let's take that out.  Hmm, there seems to be more stuck in.  Ok let's take off the back hose and cram something in there to get it out.

 Now we are cooking with gas.  After I pushed as much as I could out with the stick, I pushed an old ethernet cable through so that the pokey plug in bit could grab any stragglers that were left behind.

Yikes that is a lot of fluff (and one lego, score!).  Let's clean off the string/hair/thread before we put it back.  Ah, that's better:

Now to reassemble and test and it purrs like a kitten.

I wonder what we'll do next week.  

Break to Make: CO2 Detector Take 2

As we saw last time, I made something fun, but not very useful.  So let's make something useful today.
The Problem:
My daughter is not in school right now, as you may have experienced yourself.  At her current age, she isn't supposed to have very much screen time, but almost all of her work is online now so we decided to set a limit of 30 minutes of screen time and then a break.  With me working and my spouse taking care of our other little one, who is watching the clock?  The answer turned out to be no one.  I could set a timer on my phone, but that wouldn't be my daughter taking responsibility for it so what can we do?
The Solution:
If only we had a buzzer that I could make a timer out of.  Didn't we have one by the albino the hidden alarm?  We did, what I wouldn't give for a holocaust cloak a button switch and an LED.  That's right, observant readers will remember they were both on the CO2 detector that we didn't use.

So after a quick desoldering, we have them.  But that little blue button is not very attractive, I'd rather it have a topper like these nice ones from Adafruit.  Let's check Thingiverse first, this one looks perfect, but it is for the wrong size button.  Let's print it anyway and scale it to see, nope the middle is all mushy.

Now, on to OpenSCAD! My calipers say the small blue button is 2mmx2mm and the Adafruit site lists the size as 12mm, so a big cylinder (r=6mm) for the outside minus a cube (2mmx2mmx2mm) for the inside.  Done and done.

Doh! 2mmx2mm is exactly what the button is and the actual printed size is too small.  Let's try 3mmx3mm.  Bingo (file on Thingiverse).  

Now to put it all together, a button, an LED, a buzzer and an Arduino, now we can make a timer.
So I was thinking, push the button and set a 30 minute timer.
if (buttonState==HIGH) {
    digitalWrite(ledPin,HIGH);
    delay(1000*60*30);//1000=1 sec, 60 sec in a minute, 30 minutes total
    playMelody();
    digitalWrite(ledPin,LOW);
} And to test! 30 seconds? Let's check the math, 1000 ms in a second * 60 seconds in a minute * 30 minutes, right?  Yes.  Hmm a cryptic warning from Arduino: "More knowledgeable programmers usually avoid the use of delay() for timing of events longer than 10’s of milliseconds."
Interesting, it seems like there is an overflow problem.  So lets delay for 1000 (1 second) and count up to 1800.  And it works (code)!  So next we cram it back into the CO2 detector shell.  First, I cut all of the unnecessary plastic bits out, then I got my tiniest breadboard.

And did you notice? There are three AA batteries, 1.5*3 is 4.5V which is within the power requirements for Arduino.  So a quick solder for that and solder the wires to the buzzer to save some space and Voila!

I had to cram some thick paper in there to make the button stick out and I accidentally broke one of the clips so I had to hot glue it, but other than that we are done.  The wires are rescued from some old ethernet cable I had laying around.    

And now, we come in at 29 minutes and 59.5 seconds.  

Well this time, it is both fun and useful.  Hooray!

Break to Make: CO2 Detector Take 1

Hello Friends, today we will make something new out of an expired CO2 detector.  First we take out the batteries.

Ok, now the screws, nope, no screws ok, there are little plastic tabs holding it in place.  If you can wiggle them gently and cram a little screwdriver in there we can take the bottom off and it will easier to put back together.  I also flipped the circuit board over to get a better look at the components.  Voila:

That looks like one honkin' big buzzer, lets see if it works like a regular buzzer.  It is Arduino time. First load toneMelody onto your Arduino (File -> Examples -> 02. Digital -> toneMelody) which plays the catchy jingle, "Shave and a haircut, two bits." Apologies to those who are more familiar with the inappropriate version which I will not repeat here (for the curious, the second to last word is madre and a description can be found on the Wikipedia page for "Shave and a Haircut").  Anyway, where was I, ah yes, if you have a buzzer or speaker laying around you can test to see what it sounds like by connecting pin 8 (usually) to the positive and ground to the negative.  The Arduino Tutorial page has a good description.  Next is to get two longish jumper wires, one in pin 8 and the other to ground.  We are going to have to flip the board back over to get at the pins for the buzzer:

You might have to flip it back and forth a few times before you find the right ones, they are larger than most of the pins in the area and mine had three (one is being touched by the blue wire in the above image and another is by my finger).  Pick two and apply the wires, did it work? Try flipping the wires, now? Try different pins, and? There are only six combinations with three pins (3 choose 2 = 6) to it shouldn't take too long.  Also, you might want to adapt the toneMelody code to play on loop so you don't have to keep hitting reset on the Arduino and hold the wires on the pins at the same time, but it isn't absolutely necessary.  Success!

Ok, so now we heat up the soldering iron.  I can't figure out how to hold my phone and the soldering iron and the CO2 detector all at the same time without burning myself so no action shots, but basically I took a smallish screwdriver and gently wedge it between the buzzer and the circuit board then on the bottom I put the soldering iron on the leg closest to the screwdriver until it is melty and moves.  Then I move the screwdriver to a different spot and repeat until all of the pins are out.  Got it:

Let's just double check that we didn't fry it.  Also, I switched to M-to-F jumper wires now that it is off the circuit board.

Score! Now we are ready to make something with it.  I happen to have a photoresistor in my Arduino kit and you probably do too so I thought it might be fun to make an alarm.  The photoresistor tutorial is here.  We can add that to the breadboard and set up a simple trigger.  To minimize fiddling I set the baseline value to the ambient lighting on reset and then the trigger will be when it gets at least 90% darker.  If you don't want to figure it out yourself, the code is here. Testing:

Not too shabby.  And now to cram it all back into the base and test. 

Well that was fun and a little silly, but not very useful...  

New Chapter

Hello out there my faithful and few readers, I am now at Sacramento City College.  Because of the social distancing, I'll put some Maker Friday posts as part of Sac City's Makerspace.  Which I am the co-co-coordinator of.  More to come soon, including Fix-it Friday, Break to Make, and more!

I have been working on these for a few weeks now, yet you see nothing here.  While you wait patiently, check out these Arduino projects I made for our "Pathways to Paychecks" events for High School students: djArduino, moodLight, and the ever popular arduinoTwitterBot. 

Transitioning to ACOE

Hello out there in Math Blog land. In my new role as Mathematics Specialist at the Alameda County Office of Education's (ACOE) Division of Core Learning. I will be writing blogs for them at: http://acoecore.org/welcome/blog/ No longer working, but here is a pdf of some archived posts.  (Thanks to web.archive.org)

Robotic Drawing Machine (formerly known as 2D printer)

I have been busy working on various Arduino projects for this summer's Governor's Institute of Vermont. One of the culminating projects was the 3D printed, 2D printer that Elaine Blomeyer and I designed. It works!

You can see it in action here.

3D Graphing Anyone?

Well the most recent updates about the GeoMapApp is that it is working well. It is easy to use, I fixed the vertical exaggeration problem and the program will be released after David Thesenga and I present at NSTA (until then the code is available for your entertainment). Also, I rewrote the program so you could make 3D graphs 3D printable. As a math teacher, this project suddenly got a whole lot more exciting. Not only are 3D graphs hard to teach in upper maths, but think of the possibilities for Algebra. What if each student could print out a different slope and compare them to the others, how different would their understanding of slope be if they could touch it? It is available here. Check it out:

Geomapapp -> stl!

After several weeks of research, programming, tinkering and a little frustration, I was finally able to download a picture of a specific region from Geomapapp, convert it to an stl file, and print it on the 3-D printer. I am pretty sure it is Mt Rainier. Here it is on thingiverse. Next, I will develop a GUI so that it is easy to use for middle school students.

IET Flyer

Introduction to Engineering Thinking: A Project Based Massive Online Open Class (PBL MOOC) - Starting 1/13/14

Teacher’s view: This class was designed to answer a fundamental problem with most MOOCs, they are lecture brought online. Despite what we know from classroom experience and research that most students learn better when they can interact with the content and other students (from Piaget, Vygotsky, et al), this component was missing from many online classes. Pair that with the make to learn ideas (from Dewey, Papert, et al), where students are constructing a physical object while constructing their own understanding, and this class is born. It is designed to be free to take and free to make. All projects can be made with items most people have in their houses (or classrooms) and require no previous making experience. The class has three a la carte options, just engineering (build the projects and reflect on your work), just math (learn about the math behind the projects), just physics (learn about the physics behind the projects). Ideally, students will choose all three and will be rewarded with a STEM Master badge (mozilla open badge). Unlike many of the MOOCs out there, this class is written at the High School level so it will be accessible for a larger number of students from High School up. I am also hoping teachers interested in incorporating engineering into their classrooms, but unsure where to start, will look to this class for ideas. Enrolling now: mathtown - coursesites

Student’s view: This eight week course has six projects, each week there will be a project assigned. You will have two weeks to complete each project and the associated assignments. Each project will have 3 parts, the engineering part, the math part, and the physics part. The engineering part is where you actually build the project and document it. In the math and physics parts, you are either taking data or learning about some aspect of the project that relates to math and physics. These parts are optional if you only want the engineering badge. If you successfully complete the math part, you will receive a math badge and the same goes for physics. If you complete all three badges you get a STEM (Science Technology Engineering and Math) meta-badge that will show you completed the course with distinction. This class is designed for High School students who do not have access to engineering at their schools, but is open to everyone. The idea is that you can get a taste of thinking like an engineer and then use that type of thinking to pursue your goals on your own. So many MOOCs (Massive Online Open Classes) are just lectures put on the internet, this class aims to break that tradition by providing a PBL MOOC (Project Based Learning) model that will hopefully be the first of many. It is a free class and all of the projects will be free or nearly free to create. Engineering design is a way of thinking that will be helpful to you in any problem solving situation. Successful completion of this class will enable you to think like an engineer. Being able to think like an engineer is a skill that will help you in any science or math class or career. What makes engineering thinking important and useful is its tinkering approach to problem solving. The same way of thinking that helps an engineer figure out where to put the speaker on a cell phone, can be used to figure out why the toilet isn't working, or how to solve a math problem. Students successful in this class will have the tools to become a maker, an important step on the road to engineering. Enrolling now: mathtown - coursesites

MOOC is ready!

Well, you may have noticed I have not posted in a while. As you may have guessed from previous posts, I have been finishing my PBL MOOC. It is now ready at: Coursesites. Though currently there is only one class available, you can find the latest information about new MOOC's (assuming this first one goes well) at the website:

Enjoy!

Gantt Chart

Is there anything prettier at the start of a project than a well thought out Gantt Chart?

In case you hadn't guessed, the MOOC planning process is entering its final stages. I hope to be live for the beginning of the high school spring semester. The class lasts about a quarter and if successful, I hope to have part two for the next quarter.

Engineering Task Force

I am having fun making my resource files pretty for some engineering/math projects I have used in preparation for the KSTF Engineering Task Force fall meeting. It is great to go over old lessons, reflect on what worked and what didn't and be able to share them with the world. Enjoy, Jim Engineering/Math projects More information about the Engineering Task Force.

Furlough Over/Arduino in the Classroom

With the furlough finally over we can get back to work. I am excited to continue my work on creating a Project Based Engineering MOOC geared towards high school students who don't have engineering options at their high school. Besides being free to sign up, I am looking to make it free to participate also. This means that all of the projects will have to be made at no cost to the student. This presents a fun challenge, though not altogether new. As a classroom teacher, I always struggled to provide my students with meaningful tasks that fit within my school's budget. So many (if not all) of the MOOCs I have seen are simply lecture put on the internet. I think this is wasted time for those who want to make the information accessible to a broader range of students (ie ones traditionally underrepresented in higher education and engineering) because we know that lecture only works for a subset of students (citation needed). I just found out that now you can read about one way I integrate technology and programming into the classroom: http://makezine.com/2013/08/26/arduino-in-math-class/ Enjoy, Jim

Achievement Gap Graphic

From a presentation by Jerry Valadez from Fresno State, the grade 4 TIMSS Math scores with the added columns of "US Wealthy" and "US Poor." It struck me that the former is 2nd and the latter is 2nd to last. I had never seen the disparity put quite so clearly or succinctly. This just punctuates the need for us to get all students excited about STEM in order to close the achievement gap.

What is the graph showing?

As renters go up homeowners go up? I mean you can infer from the text what it is trying to say, but the way they labeled those axes just makes me shudder.

Einstein Fellowship

Now onto the third iteration of this blog. The first, a simple homework problem listing (scroll way down), the second a place to organize my thoughts as I went through the National Board process (I passed!), and the third to add my thoughts and plans to the internet. Because what the world needs most is another teacher blog (sarcasm really doesn't read well on the internet, someone should fix that). Knowing that this may be more white noise than useful to the world, I see it as a way for me to work out what I am thinking and hopefully start a conversation.

Ok, i video taped geo doing trisquare rugs (classic) and i think it went well, though i have to watch it to see. Each group got to the main idea eventually and in their own way. The group i taped got there last, but i think it is ok.

44.00
C has had her hand up forever, like five minutes now. I should address that.
51 i come back
53 i leave, they create the squares
55.20 m
55.40 i return for wrap-up
1.00.0 almost there
1.01.30 aha moment, j upstaging

C1 checked out easily, s was distracted, c2 and h were awesome,
46.33 looks like good place to start to 1.01.30 to end, i like 44-46, but i think the aha moment is more important.

29 to 43.30 ok, but i think the other set is better
What about 19

Wow, i was a terrible teacher today, i just had an exreme lack of classroom management and then couldn't figure out why they wouldn't settle down. Silly me, i'll just have to regroup and start my new stricter self without losing the open, caring, safe general attitude. No patience for misbehavior, high patience for math problems. Then once it is ingrained, it will still be there when i am tired. I really wish this had spell check, this is atrocioius! Need to video tape group work this week and plan another. Need to check out the final exam problems to see if i can use them for part 1. Need to check evidence with requirements before i start writing stuff.

I couldn't have asked for a better quote from c today for part 1. He handed me his work and said, "i didn't understand this when we did it, but i worked really hard on the quiz and now i do." It was awesome :-)

I don't know why i feel so annoyed right now, i've only been in productive mode for a couple days. Ususally this dooesn't settle in for a few weeks. Hmm. Anyway, i had a good day today. I think the algebra 2 class is really starting to get the idea of logs, which once they have it, the rules should seem natural ( no pun intended). But the geometry class is still driving me crazy, it's like each little group wants me to teach them individual,y and just sit there and stsre at the wall until i do. How can i get them to take charge of their learning? Welp, i should be starting chapter 4 tomorrow, so.. that should be fun. Take care.

Still need permission slips for geom so i couldn't tape today, maybe i can plan one for next week. I definitely think H, C, S, C is the group to go, so many possibilities. I had also hoped to start section 4 today, oh well maybe tomorrow. I did read through the requirements of 2 and 4 today so that is something. Mostly a bust, but i think the process has already made me become a better teacher. It is crazy that it happened so quickly, but true.

I taped my first class today, i haven't watched it yet, but i think it went well. No one dominated the conversation and i remember to include students who weren't volunteering and even checked for understsnding a few times. I think it went well over all, now i just have to make sure i get all of the permission slips in. I'll have to look up whether or not they have to be able to see the board. I gave them time to think individually, then in groups, then had the whole class discussion to tease out their misunderstandings and get to the heart of the matter, doing an exponent backwards. This will set up the discussion about how exponents are related to logs and hopefully not make it such a mystery.

I start lesson at 14.22 ish
Silent board starts at 16.32 ish
Hint at 23.45
L out at 25.26
I start talking again at 26.49
i need to enunciate more when i am at the board
talk with groups 29.19
Discussion wrapup start 32.42
Discussion done approx 44.00
having watchednit, i think we may have a winner they were engaged and i think understood what ibwasntrying to getnoutbofbthen

Weqll this is looking to be a place to write down my thoughts for national boards. I don't see why this would be useful or entertaining to anyone but me, but if you want to read it, go nuts.

2/23
IMP 1 - none (if you finished pg 44 #5 = 40)
Alg C - pg. 344 9-15

2/24-25
IMP 1 - packet pgs. 22-23
Alg C - pg. 350 5-8, 11-14 (quiz today)

2/26-27
IMP 1 - packet pg. 24 (quiz Monday)
Alg C - none

--
town-math.blogspot.com
james.town@ouhsd.k12.ca.us

12/01
AR - none
IMP 1 - finish Sublette's Cutoff pg 220
Alg B - none

12/02-03
AR - pg 241 #'s 1, 2, 3, 4, 8, 21
IMP 1 - pg. 221
Alg B - pg 539 #'s 7, 8, 16, 18, 31

12/04-05
AR - study for test
IMP 1 - pg 233 print neatly or type
Alg B - none

--
town-math.blogspot.com
james.town@ouhsd.k12.ca.us

11/17
AR - none
IMP 1 - none
Alg B - none

11/18-19
AR - Study for quiz
IMP 1 - Finish Cars Part 2 pg 3
Alg B - none

11/20-21
AR - Quiz today
IMP 1 - Linear Models Sheet (Mid Unit Test Tuesday)
Alg B - pg. 522 14, 16, 17, 28, 29, 38

--
town-math.blogspot.com
james.town@ouhsd.k12.ca.us

11/10
AR - none
IMP 1 - none (finish questions, if you have not already done so)
Alg B - none

11/12
AR - none
IMP 1 - finish finding the slopes in the packet
Alg B - none

11/13-14
AR - none
IMP 1 - finish #1 and 2a on pgs. 217-218
Alg B - none

--
town-math.blogspot.com
james.town@ouhsd.k12.ca.us

10/27
AR - none
IMP 1 - Hmk 14 (POW due 11/3)
Alg B - Finish worksheet (Warm-ups 83-84)

10/28-29
AR - none (study)
IMP 1 - none (study)
Alg B - none (study)

10/30-31
AR - Benchmark Today
IMP 1 - Benchmark Today
Alg B - Benchmark Today

--
town-math.blogspot.com
james.town@ouhsd.k12.ca.us

10/20
AR - none
IMP 1 - none
Alg B - none

10/21 (10/22 off)
AR - none
IMP 1 - finish "Out Numbered"
Alg B - none

10/23-24
AR - finish worksheet (7th quiz today, 2nd quiz Monday)
IMP 1 - finish hmk 14, start POW #3 (5th quiz today, 4th quiz Monday)
Alg B - finish "Opposite sides of ruler" and worksheet

--
town-math.blogspot.com
james.town@ouhsd.k12.ca.us

10/13
AR - none (quiz tomorrow)
IMP 1 - none
Alg B - none (quiz tomorrow)

10/14-15
AR - none (quiz today)
IMP 1 - Hmk 11
Alg B - none (quiz today)

10/16-17
AR - none
IMP 1 - finish "in need of numbers"
Alg B - none

--
town-math.blogspot.com
james.town@ouhsd.k12.ca.us

10/06
AR - none (quiz next class)
IMP 1 - POW due today
Alg B - none

10/07-08
AR - none (quiz today)
IMP 1 - Hmk 7 Laced Travelers
Alg B - Plot these points and connect them with lines: (0,3), (-4,4),
(8,2), (0.3), what shape is it?

10/09-10
AR - pg. 129-130 2, 6, 8, 12, 17, 30 ch #2
IMP 1 - Hmk 9 Ox Expressions (quiz monday)
Alg B - Scale by a factor of 3 x=[2, 0, -1, 2] y=[1, 0, 2, 1] is the
scaled shape similar to the original?

--
town-math.blogspot.com
james.town@ouhsd.k12.ca.us

9/29
AR - none (test)
IMP 1 - POW due next Monday (10/6)
Alg B - none (study)

9/30-10/01
AR - pgs. 105-106 #'s 9, 11, 14, 16, 29
IMP 1 - hmk 1
Alg B - none (quiz)

10/02-10/03
AR - none
IMP 1 - hmk 4
Alg B - none (test)

--
town-math.blogspot.com
james.town@ouhsd.k12.ca.us

9/22
AR - none
IMP 1 - Hmk 16 -- Portfolio Due 9/29 (same day as unit test)
Alg B - finish "books"

9/23-24
AR - pg 82 #'s 5-8
IMP 1 - Review sheet
Alg B - What is the slope between (1, 2) and (4, 4)?

9/25-26
AR - none (Test today)
IMP 1 - Review, Portfolio Due Monday 9/29
Alg B - What is the equation of the line between (1, 2) and (4, 4)?

--
town-math.blogspot.com
james.town@ouhsd.k12.ca.us

9/15
AR - none
IMP 1 - finish pretest
Alg B - finish worksheet

9/16-17
AR - pg 70-73 #'s 2, 4, 5, 8, 13, 15
IMP 1 - Hmk 13 (both sides)
Alg B - none

9/18-19
AR - none (quiz today)
IMP 1 - none (quiz monday)
Alg B - none

--
town-math.blogspot.com
james.town@ouhsd.k12.ca.us

9/2
AR - none (quiz Friday)
IMP 1 - "Balance It" questions 1,2
Alg B - none (quiz Friday)

9/3-9/4
AR - pg. 3, 7, 11, 15, 25
IMP 1 - none
Alg B - none

9/5
AR - none (quiz today)
IMP 1 - none
Alg B - none (quiz today)

Hello new faces and old faces! I am looking forward to a great year with
you all.

8/26
AR - get expectations signed
IMP 1 - get expectations signed/ bring in notebook or binder
Alg B - get expectations signed

8/27
AR - none
IMP 1 - Multiple Intelligences worksheet
Alg B - none

8/27-28
AR - pgs. 13-15 #'s 1, 5, 8, 12, 22, 24
IMP 1 - finish POW
Alg B - none

james.town@ouhsd.k12.ca.us
town-math.blogspot.com

5/19
Pre-Alg - none
IMP 1 - none if you finished rock and rap
Alg C - none

5/20-21
Pre-Alg - pg. 689 1-10 (review for test)
IMP 1 - be ready to present Baker's Choice Group Project
Alg C - none

5/22-23
Pre-Alg - none
IMP 1 - questions from board (begin review for test)
Alg C - none

james.town@ouhsd.k12.ca.us
town-math.blogspot.com

5/12
Pre-Alg - pg. 629-630 #'s 1, 2, 3, 4, 6, 7, ch #3
IMP 1 - pg 22 #'s 1, 2
Alg C - none

5/13-14
Pre-Alg - none
IMP 1 - pg. 20 hmk 11 #1, use your graph we made in class!
Alg C - none

5/15-16
Pre-Alg - pg. 653 #'s 1, 2, 4, 7, 12, 14, 20, ch #1
IMP 1 - pg. 20 hmk 11 and finish Rock or Rap
Alg C - solve: y=3x+2
y=-2x+7

james.town@ouhsd.k12.ca.us
town-math.blogspot.com

Hello there classes, due to testing, testing, and more testing there aren't any new assignments here. Hopefully you wrote them down in class, if not please email me and I will let you know what they were. Next week will resume normal homework postings.

-Mr. Town

4/14
Pre-Alg - pg. 482 #'s 11, 19, 22, 28, ch #2
IMP 1 - pg 9 hmk 4
Alg C - none

4/15-16
Pre-Alg - pg. 493 #'s 16, 21, 22, 28, ch #1
IMP 1 - pg. 14 hmk 7 (very important!)
Alg C - none

4/18
Pre-Alg - pg. 513 #'s 11-13, pg. 534 #'s 11-13
IMP 1 - pg. 10, 12 of packet (pg 195 "Glass Blower", pg 200
"toothless termite")
Alg C - none

james.town@ouhsd.k12.ca.us
town-math.blogspot.com

4/7
Pre-Alg - pg 453 11, 15, 16, 17, 20
IMP 1 - find two points that satisfy constraints
Alg C - none

4/8-9
Pre-Alg - pg. 462 #'s 17, 27, 29, 30, challenge #1
IMP 1 - pg. 2 hmk 1
Alg C - none

4/10-11
Pre-Alg - pg. 472-473 #'s 12, 17, 20, challenge #'s 2, 3, 5
IMP 1 - pg. 10 hmk 5
Alg C - pg. 642 #'s 13, 14, 16, 17, 47

james.town@ouhsd.k12.ca.us
town-math.blogspot.com

3/31
Pre-Alg - pg 434 4, 5, 10, 12
IMP 1 - Finish graphs of y=x^2, y=2^x and y=2x
Alg C - none

4/1-2
Pre-Alg - pg. 444 1, 10, 12 and ch #1
IMP 1 - finish herbie the math bug sheet
Alg C - pg. 386 # 44, 48, 432 #'s 19, 29, 35

4/3-4
Pre-Alg - none
IMP 1 - none
Alg C - none

james.town@ouhsd.k12.ca.us
town-math.blogspot.com

3/10
Pre-Alg - pg 421-423 1, 3, 7, 10, 21, 24, 29
IMP 1 - Finish POW (due tomorrow)
Alg C - none

3/11-12
Pre-Alg - none
IMP 1 - pg. 393 hmk 5
Alg C - if 10th graders Study for CAHSEE, else nothing

3/13
Pre-Alg - none
IMP 1 - pg. 397-398 hmk 7
Alg C - none

3/14
Pre-Alg - pg. 426 1-10 (review)
IMP 1 - pg. 402-403 hmk 9 #3
Alg C - none

james.town@ouhsd.k12.ca.us
town-math.blogspot.com

3/3
Pre-Alg - pg 402-403 challenge #'s 1-6
IMP 1 - Study for re-test
Alg C - Test (no homework)

3/4-5
Pre-Alg - pg. 412-413 #'s 9, 13, 16, 22, 25, challenge #2
IMP 1 - re-test (no homework)
Alg C - if 10th graders Study for CAHSEE, else nothing

3/6-7
Pre-Alg - finish worksheets
IMP 1 - Work on POW
Alg C - Study for 1/8 Benchmark

IMP 1 POW: Bobby was using 1260 wooden one-inch-square tiles to build
rectangles. How many different (non-congruent) rectangles can he
make using all the tiles? What are the dimensions of the rectangle
having the largest perimeter that Bobby built?

Remember POW write-ups have three parts:
1) The answer (including a restatement of the problem)
2) How you got the answer.
3) An extension, generalization, 2nd way to solve it, or an
interesting math observation.

james.town@ouhsd.k12.ca.us
town-math.blogspot.com

2/25
none

2/26-27
Pre-Alg - pg. 384-385 #'s 1, 5, 9, 12, 13, 19, 22
IMP 1 - finish review packet
Alg C - pg. 481 #'s 23, 26, 30, 31

2/28-2/29
Pre-Alg - pg. 401-402 #'s 1, 5, 7, 20, 21, 25, challenge #1
IMP 1 - finish worksheet problems
Alg C - pg. 487 quiz 2 (all) for review

james.town@ouhsd.k12.ca.us
town-math.blogspot.com

2/20
Pre-Alg - pg. 367 1-10
IMP 1 - finish packet
Alg C - 2 problems from board (2x-6)(x+3)=0 and (3x-4)(5x+1)=0

2/21-22
Pre-Alg - pg. 368 Are you ready?
IMP 1 - Portfolio/Review (test monday)
Alg C - finish packet
james.town@ouhsd.k12.ca.us
town-math.blogspot.com

2/12
Pre-Alg none
IMP 1 pg 20 #5 New Directions: multiply and simplify, then substitute
the roots back in to make sure you multiplied right.
Alg C none

2/13
Pre-Alg (Period 2) pgs. 364-365 #'s 3, 10, 18, 22, 23, ch #5
IMP 1 pg 22 #4
Alg C pgs. 476-477 #'s 11, 14, 18, 38

2/14-15
Pre-Alg (Period 1, 5) pgs. 364-365 #'s 3, 10, 18, 22, 23, ch #5
IMP 1 hmk 5 pg. 24
Alg C sheet 9.3 (front and back)
james.town@ouhsd.k12.ca.us
town-math.blogspot.com

2/4
Pre-alg pgs. 337-338 #'s 6-8, 16 and challenge #2
IMP 1 read pgs. 13-15 and take notes
Alg C pg. 466 #10

2/5-2/6
Pre-alg pgs. 347-348 #'s 2, 11, 15, 23 and challenge #3
IMP 1 Hmk 3 pg 17
Alg C pg. 472 #'s 20, 21, 28-30

2/7-2/8
Pre-alg
IMP 1 Hmk 4 pg 21
Alg C
james.town@ouhsd.k12.ca.us
town-math.blogspot.com

1/28 All Classes: Math notebook/binder and pen/pencil

1/29-30

Pre-Alg: 1/2 x 3/4 = ? and 2/3 x 30 = ?
IMP 1: pg. 81 Pendulum
Alg C: pg. 131 #'s 13, 16, 26, pg. 360 #42, pg. 497 #32, pg. 628 #12

1/31-2/1

Pre-Alg pg 329-330 #'s 1, 8, 11, 23, 26 and Challenge #1
IMP 1: POW Working for Pennies Due 2/7
Alg C: pg. 466 #'s 10, 11, 12

james.town@ouhsd.k12.ca.us
town-math.blogspot.com

1/7
Pre-Alg - none
IMP 1 - Hmk 21 pgs. 63-64 Part 1 (part 2 E.C.)
Alg B - none

1/8-1/9
Pre-Alg - pgs 278-280 #'s 12, 16, 18, 23, 24, 27
IMP 1 - hmk 22 pg 68
Alg B - none

1/10-1/11
Pre-Alg - pgs. 288-2901, 7, 11, 17, 23, 28
IMP 1 - finish 25-26 and study!
Alg B - none

-Mr. Town

james.town@ouhsd.k12.ca.us
town-math.blogspot.com

12/17
Pre-Alg - none
IMP 1 - pg 97 Locker Problem (due Thursday)
Alg B - finish pink sheets

12/18-12/19
Pre-Alg - pgs. 268-270
IMP 1 - pg 43-44 Hmk 15
Alg B - None

12/20
Pre-Alg Warm-ups packet
IMP 1 - f(x) and rates sheet
Alg B - f(x) and rates sheet

-Mr. Town
james.town@ouhsd.k12.ca.us
town-math.blogspot.com

Sorry, I've gotten behind on this, if you need missing assignments
(ones that are not listed here) email me.

12/6-7
Pre-Alg - pg 245-246 all (review)
IMP 1 - Hmk 9 pgs. 25-26
Alg B - Study for retest

12/10
Pre-Alg - pg 247 1-5 (Are you ready?)
IMP 1 - Hmk 10 pg 29-30
Alg B - linear definitions sheet

12/11-12
Pre-Alg - pg 255-256 #'s 1, 2, 8, 12, 16
IMP 1 - Hmk 12 pg. 36
Alg B - none

12/13-14
Pre-Alg - pgs. 255-256 21-23, 29, 30 and challenge #'s 1 and 2
IMP 1 - Hmk 13 pgs. 40-41
Alg B - none

james.town@ouhsd.k12.ca.us
town-math.blogspot.com

Pre-Alg pgs. 202-204 #'s 1, 8, 12, 17, 18, 22
IMP 1: finish portfolio and take-home part of test
Alg B: Cumulative review sheet

-Mr. Town

james.town@ouhsd.k12.ca.us
town-math.blogspot.com

Pre-Alg: pgs. 194-195 #'s 2, 7, 8, 9, 13, 22, 27, and challenge #4
IMP 1: finish calculator packet <link>
Alg B: none
james.town@ouhsd.k12.ca.us
town-math.blogspot.com

Pre-Alg: pg 187 #'s 1-5
IMP 1: none
Alg B: finish factoring sheet

Pre-Alg: pg. 186 1-10 (review)
IMP 1: finish first page: Scrub-a-dub pgs 17-18 was due today
Alg B: none

Pre-Alg pgs. 183-184 #'s 4, 7, 9, 14, 20, and challenge #1
IMP 1: Scrub-a-dub sheet (both sides)
Alg B: finish sheet - factor using distributive property (one side
only)

-Mr. Town

james.town@ouhsd.k12.ca.us
town-math.blogspot.com

Monday-
Pre-Alg: pgs 168-170 #'s 2, 6, 14, 16, 18, 24
IMP 1: cwk 17 pgs. 246-247
Alg B: none

Tuesday/Wednesday
Pre-Alg: finish review packet
IMP 1: finish review packet
Alg B: finish worksheet

-Mr. Town
james.town@ouhsd.k12.ca.us
town-math.blogspot.com

Pre-Alg (All) pgs. 159-161 #'s 7, 12, 17, 23, 29
IMP 1: hmk 16 pgs. 244-245
Alg B: finish adding and subtracting polynomials sheet

-Mr. Town
james.town@ouhsd.k12.ca.us
town-math.blogspot.com

Pre-Alg (all) pgs. 151-152 #'s 1, 8, 11, 12, 18, challenge #1
Alg B: none
IMP 1: none (finish hmk 14!)
james.town@ouhsd.k12.ca.us
town-math.blogspot.com

Pre-Alg: pg 143 Are you ready? 1-5
IMP 1, Alg B: Study for benchmark (Mid-Term).

-Mr. Town

Tue-Wed:
Pre-Alg: pgs 139-140 #'s 1-5, 10, 17, 18, 23
IMP 1: hmk #12 pg 229
Alg B: square roots sheet due monday (test thursday)

Thur-Fri:
Pre-Alg pg 142 #'s 1-10
IMP 1: hmk 14 pgs. 234-235
Alg B: finish square roots sheet

-Mr. Town

james.town@ouhsd.k12.ca.us
town-math.blogspot.com

Here is the Chapter 8 review key for Algebra B (test on Thursday).

Enjoy,
Mr. Town

Wow, that was a crazy week (homecoming).

Here is the homework:
Pre-Alg Finish packet (warm-ups 9-14)
Pre-Alg 2nd period what is the length of your stride?
IMP 1: finish homework 9 sheet (to be graded)
Alg B: Square-root sheet due next monday.

Enjoy,
Mr. Town

IMP 1 students, here is the families list as promised.

-Mr. Town
james.town@ouhsd.k12.ca.us
town-math.blogspot.com

M
Pre Alg pg 98 1-5 Are you Ready
IMP 1 hmk 4 pg 204
Alg B study for test

T-W
Pre Alg pg 105-106 7, 11, 16, 22, 29, challenge #5
IMP 1 hmk 6 pg 209 (POW due thurs)
Alg B Exponents Sheet due tuesday (10/16)

Th-F
Pre Alg pg 114-115 3, 10, 15, 19, 23, 29, challenge #1 (quiz monday!)
IMP 1 hmk 8 pg 214-215
Alg B Exponents Sheet due tuesday (10/16) (quiz monday!)

james.town@ouhsd.k12.ca.us
town-math.blogspot.com

Pre-Alg (all): pg 98 Are you ready? 1-5
IMP 1 finish hmk 4 #2 pg 204, and hmk 5 pg 208
Alg B: study for test (suggested study guide pgs. 328-330)
james.town@ouhsd.k12.ca.us
town-math.blogspot.com

Pre-Alg Per 5 pg 92 #'s 1, 2

james.town@ouhsd.k12.ca.us
town-math.blogspot.com

Pre-Alg (all) None
IMP 1: hmk 1 pg 192
Alg B: None

Pre-Alg (all periods) - pg 85 challenge #'s 1, 2
IMP 1 - portfolio
Alg B - none

Pre-Alg Per 1: pgs. 82-84 1, 4, 5, 6, 9, 11, 14, 15, 16, 21, 25, 30 (thur and fri hmk)
Pre-Alg Per 2-5: pgs. 9, 11, 14, 15, 16, 21, 25, 30
IMP 1: finish hmk 22, review sheet
Alg B: finish tennis ball lab (find the equation of your line of best fit) and answer these questions:
1. How many bounces would you expect in an hour?
2. What does the y-intercept mean for your line? (and does it make sense?)

Pre-Alg Per 1: pgs. 60-63 #'s 8, 13, 16, 17, 19, 29 and challenge #1
Pre-Alg Per 2-5: pgs. 70-72 #'s 8, 11, 13, 18, 20, 24
IMP 1: hmk 18 pg. 52, hmk 19 pg. 54 #2a only
Alg B: find the equation of the line containing the points: (2, 10)
and (10, 36)

james.town@ouhsd.k12.ca.us
town-math.blogspot.com

Pre-Alg per 2, 5 pgs. 70-72 8, 9, 11, 29 and challenge #1
IMP 1 pg 49 #2
Alg B pg. 293-294 3, 6, 10, 14, 24, 49
james.town@ouhsd.k12.ca.us
town-math.blogspot.com

Pre-Alg Period 1: pg. 33 challenge #2, pg. 50 challenge #1
Pre-Alg Period 2, 5: pg. 60-62 8(a,b), 15, 19, 26 and challenge #1
IMP 1: hmk 13 pg. 40
Alg B: pg 288-289 #'s 12, 26, 32, 33

Have a great weekend.

Pre-Alg Periods 1 and 5: green book pg. 20 #'s 1, 2, 3 (funny pages)
Pre-Alg All Periods: bring green book on Friday!

james.town@ouhsd.k12.ca.us
town-math.blogspot.com

Pre-Alg (all but period 2) study for test!
IMP 1: hmk 15 pg 44 and hmk 16 pgs 47-48
Alg B: pgs. 288-289 #'s 13, 15, 18, 22, 28, 35

Pre-Alg (all periods): pg. 52-53 1-10 Test next time I see you
IMP 1: rewrite POW!
Alg. B: sheet: fraction side all, SIS side chose any 5
james.town@ouhsd.k12.ca.us
town-math.blogspot.com

Pre-Alg Per 1: pg. 48-50 10, 14, 15, 20, 22, 29
Pre-Alg Per 2: pg. 50 challenge 2, 3
Pre-Alg Per 5: pg. 48-50 9, 10, 14, 15, 20, 24
IMP 1: OoO sheet 1-9
Alg B: finish Simplify Sheet

Pre-Alg per. 1: pg 39-40 #'s 12, 18, 17, 23
Pre-Alg per. 2: pg 48-50 #'s 9, 10, 14, 15, 20, 24, 29
Pre-Alg per. 5: pg 48-50 #'s 3, 7, 10, 11, 14, 17, 22, 29
IMP 1: finish POW pg 12 (and homework 4! pg. 13)
Alg B: finish cow sheet

Pre-Alg per. 1, 2, 5: pg. 19 (in green book) #47 (extra-credit)
IMP 1: Work on Broken Eggs POW (pg 12) due 9/13
Alg. B: Finish Cow sheet (both sides)

Pre-Alg (all periods): pgs. 39-40 #'s 1, 10, 11, 16, 21, 26, 29

IMP 1: hmk #11 pgs. 32-34

Alg B: Cow sheet (both sides)

Alg B: Remember you can retake the test, just make an appointment with me.

 

james.town@ouhsd.k12.ca.us
town-math.blogspot.com

Per 1, 5 Pre-Alg - pgs. 32-33 #'s 1, 5, 8, 12, 18, 25, 29 Quiz next time I see you.
Per 2 Pre-Alg - pgs. 33-34 Challenge 1-3, journal #3 Quiz tomorrow
IMP 1 - hmk 4 pg. 13
Algebra B - pg.255 #'s 20, 21, 26, 27, 29, 45 Test tomorrow.

Per 1 Pre-Alg - none

Per 2,5 Pre-Alg - pgs. 24-25 challenge #'s 1-3, journal #1

IMP 1 - hmk 10 pgs. 30-31

Alg B - pg. 254-255 #'s 29, 34, 42, 45

 

 

 

james.town@ouhsd.k12.ca.us
town-math.blogspot.com

Per. 1 Pre-Alg pgs. 22-23 #'s 1, 4, 5, 6, 12, 18, 25, 29
Per. 5 Pre-Alg pg. 15 #20, pgs. 22-23 #'s 6, 12, 18, 25, 29

Per. 1 Pre-Alg - pg 13-15 #'s 2, 8, 10, 15, 22, 24, 25
Per. 2 Pre-Alg - pg 15 #20, pg 22 #s 1, 4, 5, 6, 12, 18, 25, 29
IMP1 - Homework 5 pgs 15-16
Alg B - pg 248 #'s 14, 20, 36, 45



james.town@ouhsd.k12.ca.us
town-math.blogspot.com

Pre-Alg- get your syllabus signed
IMP 1 - Hmk 3 pg 8 (all)
Alg B - pg. 241-243 #'s 9, 15, 19, 22, 25, 31, 33

-Mr. Town

Pre-Algebra - get syllabus signed, pg 5 Multiple Choice #1, Journal #2

 - for the journal question please write between 2 sentences and a paragraph. 

 - remember, we will be taking a Pre-test tomorrow that will count towards your grade.

 

IMP1 - get syllabus signed

 

Algebra B- get syllabus signed

 

james.town@ouhsd.k12.ca.us
town-math.blogspot.com

It was great meeting you all today. There is no homework for tonight
(monday), but don't worry there will be homework tomorrow (and as I
promised in class, pretty much every night until next summer).

-Mr. Town
james.town@ouhsd.k12.ca.us
town-math.blogspot.com

Hello Hueneme High School Math students!

This page is for Mr. Town's math classes, here in the posting area I will list your assignments. To the right, you will find helpful links to resource pages for you.

I look forward to a great semester, please feel free to email me.

Thanks,
Mr. Town

Hello Algebra 2 students, we will be starting our conic section project on tuesday, May 29th. The link to the project page is here.

Your posters are due monday, June 4th, be prepared to give a short introduction to your poster as well as field some questions about it.

Enjoy.

Geometry people! Here is the geometry chapter 12 review, and answer key.

Enjoy.

Another week winding to a close...

The geometry key is located here.

Enjoy :-)

Everyone has a chapter test on thursday! Remember you can use a 4x6 notecard as long as it is in your own handwriting. :-)
Here is the answer key for geometry: Geometry Key

Remember on the front of your sheets (the agenda side) it says which numbers to do.
All homework is due the next time we have class unless otherwise noted.

I'm back from my conference, I learned a lot and had some fun. Happy Spring!

Assigned Monday:
Algebra I: Homework 9i
Geometry: Quick Review 9.1-9.3
Algebra II: Sheet 8.6
Robotics/CSCI:

Assigned Tuesday:
Algebra I: Homework 9ii
Geometry: Sheet 9.5
Algebra II: Sheet 8.7


Assigned Wednesday:
Algebra I: Homework 9ii
Geometry: Sheet 9.6
Algebra II: Chapter 8 Review (due Friday)



Assigned Thursday:
Algebra I: Sheet 9.1 (due Monday)
Geometry: Chapter 9 Review (4x6 notecard optional)
Algebra II: make a notecard for the test (optional)


Assigned Friday:
Algebra I: none
Geometry: Test 9
Algebra II: Test 8

Remember on the front of your sheets (the agenda side) it says which numbers to do.

We are supposed to have some fun on friday. I will not be here on Thursday or Friday due to a conference, hopefully they'll give me some good ideas for when I come back. Algebra 1, retest will be on Thursday, be prepared this time.

Remember on the front of your sheets (the agenda side) it says which numbers to do.

Assigned Monday:
Algebra I: ReSheet 8.2-8.3 do 1 and 2
Geometry: Sheet 9.1
Algebra II: Sheet 8.3
Robotics/CSCI: none

Assigned Tuesday:
Algebra I: ReSheet 8.4-8.6 do all
Geometry: Sheet 9.2
Algebra II: Sheet 8.4


Assigned Wednesday:
Algebra I: Review do all
Geometry: Sheet 9.3 (due monday)
Algebra II: Sheet 8.5



Assigned Thursday:
Algebra I: ReTest 8, PST Grandma Lucia due monday
Geometry: Sheet 9.4 (choose any 3)
Algebra II: Free Throw Lab


Assigned Friday:
Algebra I: none
Geometry: none
Algebra II: none

We will have short days and no homeroom this week due to parent teacher conferences. Since we have less class time and more home time, expect more homework. Have a great week :-) You will all have your chapter tests this week.

Due Monday:
Algebra I: Finish all questions on your exploration/homework
Geometry: Sheet 8.5 1-4, 7, 12
Algebra II: "Let's Practice" sheet


Due Tuesday:
Algebra I: #4, and finish all questions, from #1, 2, and 3
Geometry: Sheet 8.6 4-10
Algebra II: test 9 (review due, 4x6 notecard optional)


Due Wednesday:
Algebra I: #8, and finish all questions, from #5, 6, and 7
Geometry: Sheet 8.7 #’s 2, 5, 6, 7, and 8 or 9
Algebra II: none (due friday PST)



Due Thursday:
Algebra I: completed packet
Geometry: do most of review and be ready with questions
Algebra II: classwork 9.6
Robotics/CSCI: no class this week


Due Friday:
Algebra I: test 8 (review due, 4x6 notecard optional)
Geometry: test 8 (review due, 4x6 notecard optional)
Algebra II: PST

Due Monday:
Algebra I: assessment 7
Geometry: assessment 7
Algebra II: assessment 7


Due Tuesday:
Algebra I: Answer all questions on investigation sheet
Geometry: Sheet 8.1 #'s 2-5, 8-11
Algebra II: Practice 69 all


Due Wednesday:
Algebra I: Sheet 8.2 #’s 1(all), 2 (a,c), 4 (a,b,e,f), 5 (a,c)
Geometry: Sheet 8.2 #’s 2-4, 8-10
Algebra II: - Factoring sheet (all)
- Basic Skills odd only


Due Thursday:
Algebra I: Sheet 8.3 #’s 1 (e-h), 2 (a,c), 3 all
Geometry: Sheet 8.3 choose any 3
Algebra II: finish questions in the packet
- sheet 71 #’s 1-4
Robotics/CSCI: ??


Due Friday:
Algebra I: Sheet 8.4 2, 3 (a,b), 5 (all)
Geometry: Sheet 8.4 2-4, 10
Algebra II: Practice 71 5-13 odd

We all miss the Costa Rica kids, so lets get through this week so that the next time we have school they'll be here. :-)

Due Monday:
Algebra I: Quick review 7.1-7.4 (sheet)
Geometry: Sheet 7.4-7.8 #3
Algebra II: Sheet 7.5 #’s 1 (a,c,f,g), 2(a-d), 3 (a,b), 4 (a-d), 5a


Due Tuesday:
Algebra I: Sheet 7.5 1 (a-h), 2a, 3 (a,b), and 4 (a,c,h,k,m,p)
Geometry: Do exercise 1, 2, and 3
Algebra II: Sheet 7.6 #’s 1 (a,b), 2a, 3 (a,e), 4 (a,b,h,k), 5a
- Finish Box Factory write-up


Due Wednesday:
Algebra I: Finish graphing parabolas packet
Geometry: Finish triangle tessellations
Algebra II: Sheet 7.7 #’s 1, 2(a,b) 3(a,b)
- Finish Box Factory write-up


Due Thursday:
Algebra I: work on chapter 7 project
Geometry: work on chapter 7 project
Algebra II: Sheet 7.8 #’s 1, 5 (a,b)
Robotics/CSCI:


Due Friday:
Algebra I: Chapter 7 project - Secret Codes - due by the end of class
Geometry: Chapter 7 project - Tessellations - due by the end of class
Algebra II: Chapter 7 project - Biggest Area - due by the end of class

We had so much fun ice skating! Do not worry, my elbow has returned to its normal size.

For those of you unhappy with your test scores (especially those in Algebra), you can retake the test for a maximum of 80%. Remember you need to come in twice to do this, once to go over the first test and the second time to retake it.

Due Monday:
Algebra I: none. Today we are starting the chapter on functions.
Geometry: none. Today we are starting the chapter on tessellations.
Algebra II: none. Today we are starting the chapter on polynomials and factoring.


Due Tuesday:
Algebra I: Sheet 7.1 #’s 1-3
Finish Lab Packet (answer all questions)
Geometry: Sheet 7.1 #’s 1-3, 5-8
Algebra II: Sheet 7.1 #’s 1 (a-c), 2 (a-f), 4
Finish Lab Packet (answer all questions)


Due Wednesday:
Algebra I: Sheet 7.2 #’s 1a, 2 (a,c), and 3 all
Geometry: Sheet 7.2 #’s 1-3, 6-8
Algebra II: Sheet 7.2 #’s 1 (a,b,d), 2 (a-c), 3 (a-c), 4 (a-d), 5


Due Thursday:
Algebra I: popcorn packet: sheet 4 #2, sheet 5 #1-2, finish classwork (sheet 2 and 3)
Geometry: Sheet 7.3 #’s 1-8, 11
Algebra II: Sheet 7.3 #’s 1 (a,b), 2 (a,b,f), 3 (a,b,f), 4 (a-c), 5 (a,b,f), 6
Robotics/CSCI: pop-ups!


Due Friday:
Algebra I: Sheet 7.4 #’s 1 (a-h), 2 (a,f), 4 (a,c,e)
Geometry: Sheet 7.4-7.8 #’s 1,2
Algebra II: Sheet 7.4 #’s 1 (a-c), 2 (a,b), 3 (a,d,k), 4 (a,b), 5 a