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## TI-Inspire Directions for CC Algebra I Unit 10 (Statistics) by Jeanne Oliveira

Our good friend Jeanne Oliveira from Germantown Central School District is working out TI-Inspire directions for all of the calculator work we do in CC AlgI. She just created pdf files for the TI-Inspire directions for our Unit 10 on Statistics in Common Core Algebra I. We wanted to post these in case they would help students as we head into the final stretch. Please note that not all lessons in Unit 10 will be listed because not all have intensive calculator work (most, but not all). Here they are:

Algebra I Unit 10 Lesson 1

Algebra I Unit 10 Lesson 2

Algebra I Unit 10 Lesson 3

Algebra I Unit 10 Lesson 4

Algebra I Unit 10 Lesson 7

Algebra I Unit 10 Lesson 8

Algebra I Unit 10 Lesson 9

Algebra I Unit 10 Lesson 10

Thank you to Jeanne for providing this great resource!

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## eMath April 2018 Newsletter

Well, it’s April 16th, so the weather in New York is now turning sunny and spring is in full tilt with the flowers blooming, the birds singing and …

Actually, I’m just kidding. I woke up to snow this morning. Still, not all is dreary. We are quickly approaching the final stretch of the academic year (you are likely just starting the fourth quarter). We have been busy at eMathInstruction working on a variety of different resources, updating our website, and creating add-ons for the courses. Let’s get right into those.

For Common Core Algebra I Add-Ons this month we have added a quiz and a new lesson. For Unit 10 (Statistics) we have added a Form B mid-unit quiz. Last year we added the original quiz and this year we have a makeup or Form B of the quiz. These are always handy when it comes to students who are absent or even if you want to give Period 1 the Form A and Period 2 the Form B. We always try to make them as similar as possible, while still making the questions unique. For Unit 11 (the final unit) we added Lesson 6.5 on Additional Piecewise Functions work. In this lesson we have piecewise functions that include linear, quadratic, and root functions. I still believe that the idea of piecewise functions is challenging enough so that it should be as basic as possible, i.e. just piecewise linear, but clearly the makers of standardized tests disagree with me as they often will include pieces that are non-linear.

For Common Core Algebra II Add-Ons we bring you two activities centered on the probability and statistics units (Units 12 and 13). For Unit 12 (Probability) we have created a Die Rolling Probability activity. We have the students use the random number simulator on the calculators to simulate rolling two die and summing their rolls. We then have them investigate the empirical versus theoretical probabilities associated with this experiment as well as answer a variety of conditional probability questions. There is no associated homework with this activity. In Unit 13 (Statistics) we created Lesson 4.5 on Sampling a Population. We created a data set of 200 values that students then randomly sample from. Students calculate sample means and standard deviations from their samples and then compare these to the population statistics. Like the Die Rolling Activity, this lesson has no homework associated with it.

In our Algebra 2 with Trigonometry Add-Ons this month we have a quiz and another lesson. For Unit 10 (Exponential and Logarithmic Functions) we offer up a mid-unit quiz that covers all of the content through Lesson #6 (Graphing Basic Logarithms). In Unit 11 (Probability) we created Lesson 7.5 on More Binomial Probability Practice. In this lesson we use the calculator to find binomial probabilities and cumulative binomial probabilities for a variety of applied problems.

In other exciting news, eMathInstruction will be at the national NCTM conference next week!!!

We will have a booth set up where you can come and chat and we will also be presenting on Friday afternoon. Drop by and say hi if you are at the conference.

In Geometry news, Version 2.0 of our workbook is now for sale. This new book has the Unit Reviews now included at the end of each unit, so its quite a bit longer than the original book. We’ll begin to add-on to this course starting in August. As always, if you have suggestions in terms of what you’d like us to add, please reach out (make up tests, mid-unit quizzes, extra problem sets, extra lessons).

We’ve been doing some major behind the scenes work on our website recently. We added a second server which does two things for us. First, if the primary server were ever to “crash” then the second server would keep the site up and running. But, even better, the second server allows us to “load balance” the traffic to the site. Hopefully this means shorter page and download times. Now, with all major website work, there are always hiccups in the system. Most of you probably have not had any trouble, but some of you, when trying to go to our main site, have experienced errors such as a “failure to redirect” or “emathinstruction.com” sent an invalid response or even scary messages like “corrupted content error.” I’ll be honest, I don’t really understand what’s happening. But, apparently a one-time fix of clearing the computer’s cache gets the job done. How to clear cache is very browser dependent (Chrome, Firefox, Edge, Internet Explorer, Safari …). The University of Wisconsin (go Badgers) has an awesome site with links to every major browser and operating system:

How to Clear Web Browser Cache (University of Wisconsin)

You know cache is the issue if you can get to our site through one browser but not through another one.

Have a great rest of your April. I hope that spring has arrive for you soon, if it hasn’t already shown up (no sign yet here).

Kirk

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## eMath March 2018 Newsletter

Good morning everyone. I’m writing today from my house in Red Hook, New York, just a hundred miles or so north of New York City. We’ve had three nor’easters in the last week with another possible one next week. You might call this serious winter. We just call it March. And since it is mid-March, it’s time to put out the eMath March Newsletter. We’ve got plenty to report and add-ons to discuss, so let’s get to it.

This month for our Algebra I Add-Ons we bring you a new lesson in statistics. Unit 10.Lesson 4.5 is on the subject of outliers, how to identify them and what the effect of removing them is on the statistics for a data set. We stick to the standard definition of an outlier being any data value  ± 1.5IQR below or above the first or third quartiles, respectively. On the New York State Regents Exam in Algebra I, we’ve repeatedly seen multiple choice exam questions that require knowing this definition, for example #16 on the January 2018 exam:

To rule out (2) as the correct choice, think about how much work must be done. They must calculate Q1 and Q3, 41 and 68, then the IQR (27), and then 1.5*IQR (40.5). Subtracted and added to Q1 and Q3 gives you a “non-outlier” range of 0.5 to 108.5. Notice how this makes the 120 clearly an outlier but the data point of 0 is barely an outlier. So, it’s pretty important to know this technical definition of an outlier (which is not universally accepted) in order to not choose (2). Given the rather subjective nature of the correct answer, i.e. (1) that the mode is the “best” measure of central tendency, it is important to know why each of the other statements is true. Don’t get me wrong, I don’t think it is unreasonable for kids to know this, but I think that this is the type of curricular detail that needs to be explicitly spelled out as a piece of knowledge kids must learn.

We created two new videos for Common Core Algebra I. One of them goes with our add-on lesson Unit 8.Lesson 7.5.Linear-Quadratic systems. We also did a short video on a graphical reason for why the method of completing the square works. Both of these videos will be posted soon with a QR code added to the lesson when finished (likely today or Monday).

For Common Core Geometry, we have finally finished our Unit Reviews and Unit Assessments with Unit 10 – Measurement and Modeling. We have a fantastic Review with lots and lots of modeling problems, including additional density problems. These Reviews and Assessments finish Version 1 of our Common Core Geometry curriculum. We will begin releasing add-ons (additional lessons, activities, and assessments) beginning in August of 2018.

For our Common Core Algebra II Add-Ons, we’ve created a lesson, a mid-unit quiz (form B), and a video. Let’s start off with Unit 11.Lesson 8.5.More Work Graphing Sine and Cosine. This is a huge set of problems that give kids basic work graphing the sine and cosine function including amplitude, midline, and frequency (no horizontal shifting). We also give them a variety of curves and have them come up with the equations. This is an excellent problem set to give to kids over spring break (coming soon hopefully to a school near you). We also created a Form B of our Unit 11 (Trig) mid-unit quiz. We reposted the Form A quiz and you now have two similar quizzes to test their knowledge half-way through the Trigonometry (Circular functions) unit. Finally, we created a video to go with our Unit 10 lesson on the Sum and Difference of Perfect Cubes. I must say I’m disappointed that this topic got approved for the Next Generation Learning Standards at the Algebra II level:

I find almost no utility in having kids memorize:

and

I do think they are interesting patterns to study. I think the connections that can be made between these problems and the imaginary roots of quadratics are quite interesting. But, I see no utility in any type of realistic math problems where memorization of these patterns is helpful. I think it just takes up time and mental space that could be spent better elsewhere. What are your thoughts?

Finally, we have our Algebra 2 and Trigonometry add-on of the month. This month we’ve added an additional lesson in Unit 10 (Exponential and Logarithmic Functions). We’ve put in Lesson 4.5 on Additional Exponential Modeling. In this lesson we look at how to transition between different time units when modeling something using exponential growth and decay. This is a particularly nice lesson from an applied perspective.

That’s it for add-ons, but I’d like to keep discussing a bit more. Let’s begin with a cool 3D visualizing program for Geometry teachers that many of you likely have if you bought a PC within the last 3 years. All Windows 10 computers (and I believe some Windows 8) come with a program called 3D Builder:

Just type its name into your Search bar on a PC to see if you have it. Now, this program wasn’t installed because Microsoft thinks we are all Geometry teachers. Nope! This is a program designed to allow you to create 3D printer files. But, that doesn’t mean it isn’t great for 3D modeling. For example, remember the water-tower problem on the first CC Geometry Regents exam:

Now, imagine making the problem come alive by showing the students not just a model of it on 3D Builder but also that model taken apart into the three component pieces:

One of my favorite parts of this program is its Split command under the Edit Menu:

This function’s purpose is to slice a 3D object using a plane so that you only keep part of it to print. BUT, Geometry teachers can use it to show kids cross-sections of any orientation. With our cone example, here is an example of it showing a horizontal cross-section:

Notice those rotation arrows? They allow you to rotate the slicing plane into any orientation. So, if you wanted to see a classic vertical cross-section you could just rotate the plane 90 degrees to get:

Or, my favorite, the elliptical cross-section formed when slicing with an inclined plane:

Once you’ve rotated the plane, you can then move it left, right, up and down, allowing you to show kids how cross sections can change as you move the slicing plane in various directions. The Next Gen standards for Geometry state that kids will need to be able to visualize cross-sections of common solids, even with planes that are not horizontal or vertical:

Will they have to recognize that certain cross-sections of cubes are hexagons? Inquiring minds want to know.

Well, I think that’s about it for 3D Builder. I’ll be discussing this program and Tinkercad, one of my favorite online 3D modeling programs in additional posts. Only a few years ago, visualizing 3D geometric concepts would have been very difficult. Now, programs to do so are not just easy to find, but completely free.

We have some exciting changes coming to the website in the coming months, including a new way of organizing the Add-Ons and the Assessment Items. But, more on that in the April newsletter. For now, happy Pi-Day, happy March, and enjoy your spring break if you still haven’t been on it yet.

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## eMath February 2018 Newsletter

It’s mid-month, which means it’s time for our newsletter. Valentine’s Day is now passed but we still have plenty of treats for you this month. So, let’s get right into it.

We’re going to start the discussion with Geometry, which is quickly starting to get filled out and ready for Version 2. We finished editing all of the videos and posting them to YouTube. That also means we were able to add the QR codes to the worksheets.

In addition to finishing the videos and adding the QR codes we have also increased the graphics quality considerably on the diagrams in the book. Every diagram that shows up in Geometry has been made by the FX MathPack, which was created by the Efofex software company, and which we sell in our Shop. The resulting PDF files are larger in size, but the sharpness of the images is now excellent.

We have, of course, posted the latest Common Core Geometry Unit Review and Unit Assessment. For this month, we released the Unit #9 (Circle Geometry) Review and Assessment. This is a monster review packet of problems along with a great assessment. That means that next month we will be releasing the final Common Core Geometry Review and Assessment (Unit #10 on Measurement and Modeling). Next year, of course, we will begin to release add-ons for Common Core Geometry, likely including new lessons (Intro to Parallel Lines, the General Area Formula for a Triangle, …) and make up assessments.

Alright, enough Geometry. Now for the Common Core Algebra I Add-Ons. This month we bring you a mid-unit quiz and a new lesson. Both are designed for Unit #9 (Roots and Irrational Numbers). We have a Form A and Form B mid-unit quiz that covers all of the material through Lesson #4 (Solving Quadratics Using Inverse Operations). We also bring you a lesson that connects the process of Completing the Square with area models. We think this lesson could be taught in either Unit #8 (after completing the square) or in Lesson #9 right before (or I suppose after) Finding Zeroes by Completing the Square. In the lesson, we look at why the algorithm of dividing the linear coefficient by 2 and then squaring the result makes sense from an area perspective. It’s super cool! I hope to have a video version of it next month.

For Common Core Algebra II Add-Ons this month we have two new resources for Unit #10 on Polynomial and Rational functions. First, we added Lesson #1.5 on the End Behavior of Polynomials. We felt like our current lessons on Polynomial Graphs and their Equations just didn’t do this topic justice. So, we added one that looks more closely at how the end behavior (a.k.a. long-run behavior) of polynomials is dependent on its leading coefficient and degree. We also added an activity on Rational algebra (called Rational Puzzles Activity). This activity has students investigate interesting patterns that emerge when you manipulate an integer and then explain these patterns using rational algebra. We think this is a really great activity for kids once they have learned how to simplify rational expressions as well as add, subtract, multiply and divide them.

Finally, for Algebra 2 and Trigonometry add-ons this month we have a huge new set of Trigonometry Application problems. Students can always use more practice with the Law of Sines and Law of Cosines and this problem set gives them plenty!

On a final note, recently my kids and I have really gotten into the 3D printing craze. The great thing about 3D printing, besides that it is now relatively affordable, is it has given rise to tons of free websites and other programs that allow for unparalleled 3D modeling. My favorite, right now, is a site called Tinkercad. This is a completely free online program from the makers of AutoCAD:

The platform is easy to signup for and quite easy to use. The great thing is that it allows kids (and adult kids) to play around with 3D geometry, including the movement (translations, rotations, and reflections) and scaling (dilation) of figures to achieve whatever you are trying to make. My kids and I had a challenge to model Luke’s original lightsaber (geek alert). Here’s a picture of it from online:

And here is my version of it on TinkerCAD:

Not perfect, but pretty good. The 3D print of it was small, but also awesome! This won’t be my last discussion of these types of programs. We live in an age when experiencing 3D Geometry is easier than it ever has been before. If we want kids to be able to visualize the cross-sections of solids, then why not allow them to cut them open? The programs that allow them to do this are everywhere and I would encourage math teachers to play around with them. In fact, if you have a new PC (even relatively new with Windows 10) you already have one of these programs pre-installed on your computer called 3D Builder. Here is a screenshot of a recent “Ball in Box” design I finished:

Alright, well, only one month (more or less) until Pi Day. Hopefully the snows will soon melt and give way to spring. But, I’m not holding my breath.

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## eMath January 2018 Newsletter

Hello all! We are just about at the mid-point of the academic year, which means it is very, very cold in upstate New York. We are working hard at eMath this January to bring you new materials and to continue to update older ones. Let’s get right into the add-ons for this month.

For Common Core Algebra I Add-Ons this month we bring you a new lesson and an additional problem set, both from Unit #8 on Quadratic Functions and Their Algebra. First, we have added a lesson on solving Linear-Quadratic Systems Algebraically and Graphically. This is a topic that some already do in Algebra I and others will do once the New York State Next Generation Standards kick in a few years from now. We thought we’d get a jump on those and add this lesson now. We’ve also added a problem sheet with extra Quadratic Word problems (technically Lesson 9 in this unit). I think you can never go wrong with more quadratic word problems as kids need as much practice with these as possible.

In Common Core Geometry, we continue with the Unit Reviews and Unit Assessments. This month it is Unit #8 on Right Triangle Trigonometry. We’ve put together a great packet of Review problems and a good assessment that should help you assess your students’ knowledge of this important subject. It looks like at this pace we will be publishing the last Unit Review and Assessment in March (Unit #10 on Measurement and Modeling). That will round out Common Core Geometry for this academic year.

For Common Core Algebra II Add-Ons we have two new lessons in Unit #9 on Complex Numbers. We’ve always felt that this unit was a bit brief so we added lessons that we think would be great for enriching the unit. The first lesson (#2.5) is on the Division of Complex numbers. This is a challenging topic both conceptually and mechanically. The second lesson (#5) is on the Complex Plane. Graphing complex numbers and finding their modulus (absolute value) are emphasized in this lesson.

Finally, for Algebra 2 with Trigonometry we bring you a nice add-on for Unit #8 (Trigonometric Algebra). We created a nice review set of Trig Equations that emphasize all of the equation solving techniques in this unit, including basic equations, quadratic trig equations, equations involving trig identities, and equations that need to be solved graphically. This is a great problem set to use as additional review at the end of this unit.

That’s it for now. Here at eMathInstruction we’d like to wish everyone a happy and thoughtful Dr. Martin Luther King Jr. Day. As we go through some rough times in our country and we question our basic identity on a daily basis, we hope that this day above all others makes us reflect on the commonalities that bring us together rather than the differences that seem to be tearing us apart.

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## eMath December 2017 Newsletter

Well, its cold and dark outside, so it must be December. The waning days of 2017 are upon us. Since it is mid-month, it’s time to release our latest round of add-ons and give you the latest eMathInstruction news. But, first, let’s do the add-ons.

For Common Core Algebra I Add-Ons this month we bring you two new lessons, both in Unit #7 on polynomials. We added lessons 7 and 8 which look at both multiplying and factoring polynomials with the help of area models. The second lesson specifically looks at how to factor trinomials by essentially using the AC Method of factoring, but in an area array so that students can more easily see how this factoring relates to the previous lesson where we multiply binomials using area. We do plan to eventually make videos for these two lessons as we feel they are a great addition to the curriculum.

As usual, our Common Core Geometry additions this month are in the form of a Unit Review and a Unit Assessment. This month it is Unit #7 – Dilations and Similarity. We’ve put together a huge packet of problems on this unit that should give your students lot of extra practice on these tricky concepts and how they link together. It does look like, at this rate, that we should have the last Unit Review and Assessment for Geometry in the March add-ons.

Our Common Core Algebra II Add-Ons this month include one video and one new lesson. We made a video for a lesson we released last year in Unit #6 – Using Structure to Factor Expressions. This is a great lesson where students need to recognize the structure of complex algebraic patterns in order to efficiently factor them. We’ve updated the lesson to add the QR code for easier access to the video. Our new lesson comes from Unit 8 (Radicals and the Quadratic Formula). The lesson is on A Closer Look at Extraneous Roots and should be taught after Lesson 2 on Solving Square Root Equations. This lessons takes an in-depth look at why certain square root equation have extraneous roots introduced and why squaring an expression is an irreversible algebraic manipulation.

Finally, for our Algebra 2 and Trigonometry Add-Ons we have two nice new resources. First, we have a Unit #7 (Trigonometric Functions) mid-unit quiz, Form B. Last year we put out a Form A for this quiz and we decided it made sense to create a make-up for this quiz as well. We also created a large set of practice problems on graphing sine and cosine functions. This is a nice resource that gives students lots of extra practice in terms of graphing sine and cosine functions (without a horizontal shift) and also coming up with the equations based on the graphs.

That’s it for add-ons. Besides those, we’ve been hard at work on other projects. Just this week I went down to Long Island and visited Ward Melville High School in the Three Village School District. They had won our contest earlier this year with the dubious prize being my teaching at their school for the day. It was a blast!!! Hopefully we will eventually have video and pictures to share. I got to teach in a black box theater (definitely a first and maybe a last time for me). I mainly taught a Geometry lesson on using linear functions to model the following (mathematical) doodle:

It was a nice activity because it necessitated the use of both the slope-intercept (red portion) form of the line and the point-slope form of a line (blue portion). We also used the online graphing program, Desmos, to create the doodle. Of course, my tendency to take it way too far lead me to create a Desmos graph that would allow the user to vary the number of lines plotted so that graphs like this could be created:

Here’s that Desmos sheet if you want to play around with the doodle yourself:

Mathematical Doodle with Adjustable Line Count

And just because we are on the topic of Desmos, here are some other Desmos graphs I created that are particularly fun to play around with. Feel free to open these and play them as eye-candy for your students as they walk into the door.

Logarithmic Spiral with Rolling Ball

Complex Ferris Wheel

Lissouj Figures

Dynamic Polar Roses

Rotating Spiral

Well, I think that is longer than what anyone wanted to read. It’s time for me to get back to creating curriculum and stocking up the wood stove (did I mention it’s cold in upstate New York today?). Have a wonderful holiday season everyone. Enjoy the long break coming up!

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## Ward Melville Senior High School Visit

So, tomorrow I will be teaching for the day at Ward Melville Senior High School in the Three Village Central School District down on Long Island (East Setauket to be exact). I have the privilege of teaching a Geometry lesson on using the equation of a line. Spoiler alert: we will be looking at how to model the following geometric pattern using linear equations in the coordinate grid:

During the modeling process, we will be using the online graphing program, Desmos, to graph this pattern. I’ve already created Desmos links that will allow students to not only see the mathematics of this particular pattern, but also change the number of line segments in the pattern, such as the 40 line graph shown below:

Here are links to those two Desmos graphs. Feel free to click on them and modify them as much as you’d like:

Ten Line Pattern

Adjustable Number of Lines

These patterns are fun to play with as is Desmos in general. Here are some more Desmos graphs I created and would encourage you to play around with. You can modify these to your heart’s content.

Logarithmic Spiral with Rolling Ball

Complex Ferris Wheel

Lissouj Figures

Dynamic Polar Roses

I’m hoping to have an update to this post after I get home from the visit. For now, enjoy playing around mathematically!

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## Notebook File of Algebra I Regents Questions – by Jeff Bahr

Jeff Bahr of the Mamaroneck UFSD just sent me an amazing SMART Board Notebook file. He took every Common Core Algebra I Regents exam and categorized each question by its eMathInstruction Unit. So, if you are following our curriculum and reviewing a given unit and want to show kids Regents questions based on material from that unit, this is the resource. It is a large file, around 20 mb, so beware as you download it. Here’s the file:

Regents Questions by emath topic

Thanks to Jeff for all of his hard work on this resource and for sharing it with the eMath community of teachers and learners.

As an addendum (updated 12/14/17), we’ve had a number of teachers ask for this resource in different forms. I used SMART Notebook to convert it into both Power Point and PDF formats. Here they are:

Regents Questions by emath topic Power Point

Regents Questions by emath topic PDF

Thanks again Jeff!!!

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## eMath November 2017 Newsletter

Hello All! It’s November and next week if our first big break of the year. Thanksgiving comes early this year. We always want to take the opportunity to thank all of the teachers, schools, and students who use our materials and give us feedback. We appreciate all of your help in making our curriculum better, including giving us feedback on which add-ons we should create.

Speaking of add-ons, let’s get to them. First up, Common Core Algebra I Add-Ons for this month. We’ve got a couple different items for you. First up is a new video to go along with our Unit 6 Percent Warm-Up lesson that we added on last year. We’ve updated the lesson with its QR code. For teachers who have students that need just a bit to get them back up to speed on what percents are, have them watch this video and do this lesson. We’ve also created a nice performance task for Unit 6 on modeling different types of interest. This is a great assessment for individuals or groups. It gives you a good sense for how well students understand linear versus exponential functions. We’ve included a sample rubric, but encourage teachers to decide how to grade this task.

For Common Core Geometry, we’ve added another Unit Review and Unit Assessment, specifically for Unit #6 on Quadrilaterals. If you need a ton of quadrilateral problems to assign over holiday break in another month (or so) check this set out.

Common Core Algebra II Add-Ons include a new video and a new lesson. We recently created a video for our lesson on Factoring Using the AC-Method. We put that lesson out last month as an add-on, but now we’ve put out the video and updated the lesson with the video QR code. Remember, if kids have the latest edition of the iOS for iPhone, the camera has a QR reader built in. We also added a new lesson this month that follows up the Locus Definition of a Parabola. In our new lesson, More Work with the Directrix and Focus of a Parabola, we look at what I call the focal length formula of a parabola, i.e.,

At first I was a bit hesitant to introduce this formula, but after all was said and done, I liked the lesson and how it ties in to the previous one using the distance formula to derive the equation of a parabola based on the focus and directrix. Hopefully this lesson will help students with basic focus/directrix problems on the New York State Regents.

BTW, anyone notice anything different between the cover of the June Common Core Algebra II Regents exam and the August Algebra II Regents exam (besides the date)?

I can’t quite put my finger on the difference, but I know there is one.

Finally, for Algebra 2 with Trigonometry Add-Ons we have a few different items. First, we added a Unit #6 – Polynomials and Rational Functions mid-unit quiz. This quiz covers the first five lessons (through simplifying rational expressions). We created two forms of it to help with absent students. We also added our Unit #6 Polynomial challenge. This is a graphing activity for kids that utilizes the online site Desmos to help kids better understand the factored form of a polynomial equation. We’ve previously released this activity for Common Core Algebra II and kids love it. If your school has access to Chromebooks or iPads this is a fun activity to do, especially before a holiday break.

Besides add-ons, we are busy with many other projects here at eMathInstruction. Progress continues on website improvements as well as our prototype e-textbook app. We are looking forward to visiting Ward Melville High School in the Three Village School District on December 13th. It looks like I’m going to be teaching a bunch of Geometry that day. I’m so looking forward to it!!!!

Have a great Thanksgiving Break everyone. Eat, drink, and be merry. See you soon.

Kirk

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## eMath October 2017 Newsletter

Happy October to all!!! The weather in upstate New York is starting to get colder and the trees are finally changing color. As the holiday season approaches (my son considers Halloween to be the first legitimate holiday), we have been busy working on a variety of different things at eMathInstruction.

Without further ado, let’s get right into the add-ons for this month. Our Common Core Algebra I Add-Ons consist of a performance task and a mid-unit quiz. We’ve created a Unit #4 Performance Task on Linear Modeling. This isn’t a lengthy assessment but it will give teachers a good sense for how well students understand linear modeling and how they react in a situation that is somewhat non-routine. We’ve included a sample rubric for the teacher, but teachers may want to create their own. We’ve also created a mid-unit quiz for Unit #5 – Systems of Linear Equations. This quiz (with two forms of it) covers through Lesson #4 (up to and including the Elimination Method).

The Common Core Geometry add-ons for this month can be found under the Unit Reviews and Unit Assessments. This month we published both the Unit #4 (Constructions) and Unit #5 (Coordinate Geometry) Reviews and Assessments. The Construction Unit Review is long and contains all of the classic constructions (up to this point) as well as applications of these constructions (such as reflecting a point across a line). The assessment for this unit is understandably a bit different. We plan to publish one or two unit reviews and assessments per month until all have been completed. We plan to have them all finished by the March add-on round at the latest.

We did something a bit different for Common Core Algebra II Add-Ons this month. We went back and recorded videos for two Unit #4 add-ons lessons we had already created, specifically Lesson 7.5 on Exponential Modeling Revisited and Lesson 15 on Asymptotes of Exponential and Logarithmic functions. We’ve modified the worksheets so that they now contain the QR Codes for the videos. Did you know that the newest OS on the iPhone has an automatic QR reader built into the Camera app? It’s true. All a student, with the latest OS on an iPhone, has to do is point their camera at a QR code as if they were taking a picture of it and the link will open to our video. As well, we also created a lesson on factoring trinomials using the “AC” method, i.e. the product and sum considerations of a trinomial. We are considering recording a video for that an another Algebra II lesson for next month’s add-ons.

Finally, for Algebra 2 and Trigonometry Add-Ons this month we created two forms of a Unit #4 quiz. This unit is on Radicals and the Quadratic Formula. The two forms of the quiz cover all topics through work with the quadratic formula (through Lesson #7).

In other eMathInstruction news, we ran a contest this month to gauge the interest level in having me come and teach for a day at a school. Over 100 schools gave us feedback on Facebook. We had a drawing about a week ago and Ward Melville High School in the Three Village District on Long Island won the drawing. So, I’ll be headed there in mid-December to teach some classes and talk with students. I’m really looking forward to the visit! We are hoping to do another one of these drawings in the spring. Maybe I’ll be coming to your district to do some Regents Review. Who knows?

We have just begun very preliminary work on our Common Core Algebra I App (or eBook). We are working on all sorts of functionality for our new electronic only textbook. Included will be a button to allow problems to be read to the student (or sub parts of problems), the ability to play a video showing the solution to a lesson problem (instead of having to watch the whole video), and the ability for teachers to be able to turn the answer key on and off for given lessons, avoiding the need to separately purchase the answer key subscription. We hope to have an initial prototype of the book done by the end of the academic year and to have it fully functioning by the time the Next Generation Math Standards go into effect in New York State (2020-2021?).

That’s it for now. I hope that the school year is progressing well for everyone, students and teacher alike. New school years always bring surprises, both positive and negative. As always, if you have any questions, concerns, or other feedback don’t hesitate to contact me at Kirk@emathinstruction.com.