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eMath November 2020 Newsletter

November has hit and so has the chilly weather. Schools around our own area have been fluctuating between hybrid education and going completely remote as needed due to Covid cases. These are challenging times for students, parents, and educators. Here at eMathInstruction, we continue to try to help in as many ways as we can, including creating and posting more resources.

Our new middle school resources this month include the Unit Assessments for Unit 6 in each course and the Unit 6 SMART Notebook files for each course. As I’ve mentioned before, we are going to be publishing one or two unit’s worth of assessments per month until all units have been covered. We plan to publish both the Unit 7 and Unit 8 assessments in our December add-ons. We’ve gotten some questions from teachers about the SMART Notebook files and being able to open them. These files can only be opened by SMART Notebook, the primary software used for SMART Boards. The software is very nice and includes some math tools, like rulers, compasses, and protractors, which are very nice for geometry related topics. A free trial version of the software can be downloaded at the following link

SMART Learning Suite

For this month in Common Core Algebra I, we bring you a nice extended problem on linear function modeling for Unit 4 (Linear Functions and Arithmetic Sequences). In this activity, students model populations of two towns using linear functions. They then graph their models and algebraically determine the year when one population will surpass the other. This is a nice two page lesson/activity that could be given as an enrichment exercise that reinforces many of the important ideas behind using linear functions to model constant rate applications.

In Common Core Geometry this month, its all about Unit 4 (Constructions) assessments. First, we bring you a mid-unit quiz, both a Form A and Form B version, that can be given after Lesson #3. We then bring you the Form D Unit Assessment.

Our new Common Core Algebra II additions for this month include multiple mid-unit quizzes and some additional practice problems. First, for Unit 6 (Quadratic Functions and Their Algebra), we have a problem set on Parabola Practice. In this problem set, students find properties of parabolas, including intercepts and turning points, algebraically. They then choose an appropriate graphing window on their calculator to visualize the parabola. Both the standard form and vertex form of a parabola are used. We then have the Unit 6 Mid-Unit Quiz, both a Form A and a Form B version. Finally, we bring you the Unit 7 (Transformations of Functions) Mid-Unit Quiz, Form A and Form B.

In our final additions of the month, we have some additional assessments for Algebra 2 with Trigonometry. First, we have the Unit 5 (Complex Numbers) Mid-Unit Quiz, Forms A and B. We then bring you the Unit 6 (Polynomials) Form D Unit Assessment.

In exciting news, we are finally beginning the rewrite of Common Core Algebra I for the new Next Generation Math Standards in New York State. For those not in New York, these standards are based on the Common Core Standards, with some slight modifications. These modifications are mostly in terms of the extent to which topics should be taught. For example, completing the square is still required in Algebra I, but only when the leading coefficient is one and the linear coefficient is even. We are tentatively titling the new book, N-Gen Math Algebra I. My hope is that we will have an evaluation version ready for next year, although the standards do not officially go into effect until the autumn of 2022 (wow!).

That’s about it for now. I’m hoping that everyone reading this email stays safe, healthy, and happy, especially over the coming Thanksgiving holiday.

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eMath March 2020 Newsletter

What a crazy last few weeks it has been. School districts have been closing left and right for weeks or even over a month in order to “flatten the curve” as it is being called. We just posted an article detailing the steps we are taking here at eMathInstruction to help districts as many move to a remote instruction model in the coming days. Part of how we are going to help, though, is by continuing to publish materials in our monthly add-ons and by continuing to record videos for our middle school series of courses. Let’s discuss the add-ons first and then I’ll give you an update on our middle school progress.

In Common Core Algebra I Add-Ons this month we have the Unit 8 (Quadratic Functions and Their Algebra) Form D Assessment. We also bring you the Unit 9 (Roots and Irrational Numbers) and the Unit 10 (Statistics) Exit Tickets. We will put out our last CC Algebra I exit tickets, for Unit 11, in April. I’m hoping that teachers might be able to creatively use the exit tickets in a remote learning situation. Maybe they could be used for informal assessment by the student.

For Common Core Geometry Add-Ons this month we have a few resources for Unit 8 (Right Triangle Trigonometry). First we bring you a practice set of exercises on solving for missing sides and missing angles in right triangles using the trigonometric ratios. This is a straight up fluency worksheet that gives students some nice practice setting up trig ratios and then solving them. We also have the Unit 8 Form C Assessment. Finally, we bring you the Unit 9 (Circle Geometry) Exit Tickets.

This month we are brining you a lot of resources in the Common Core Algebra II Add-Ons. CC Algebra II is a very long course, as anyone who has taught it knows. In order to keep pace with the Form D assessments and exit tickets, we bring you five resources in CC Algebra II this month. We begin with the Unit 8 (Radicals and the Quadratic Formula) Form D Assessment. We then have the Unit 9 (Complex Numbers) Exit Tickets. Of course, that means that we then bring you the Unit 9 Form D Assessment. We then have the Unit 10 (Polynomial and Rational Functions) Exit Tickets and Form D Assessment. We wanted to make sure we got all of these resources to you now, so that if you need them while students are learning from home, then you have them at your disposal.

In Algebra 2 with Trigonometry Add-Ons, we have a similar situation to CC Algebra II. In this case, we bring you four resources, starting with the Unit 8 (Trigonometric Algebra) Form C Assessment. We then have the Unit 9 (Trigonometric Applications) Exit Tickets and Form C Assessment. Finally, we also bring you the Unit 10 (Exponential and Logarithmic Functions) Exit Tickets.

We are coming along on our Next Generation aligned middle school courses. For those of you not in New York State, the Next Generation Math Standards are what New York is renaming the Common Core Standards (with slight modifications). We now have our N-Gen Math 6 and N-Gen Math 7 books done in their first editions, with sample copies available in early May. Our N-Gen Math 8 book is not far behind. We are busy also recording videos for all three courses. It looks like by the end of March we will finish all videos for both Math 6 and Math 7. Math 8 videos will be finished by mid-April. We hope that these videos will help with remote learning this year.

We are starting to receive orders for our middle school products. Although we are happy to get the orders, we won’t be able to process them until late June. Let us know if you have any questions by emailing Orders@emathinstruction.com. We will be posting cleaned up version of all of the middle school files in June as well standards alignment documents this summer.

That’s it for now. I hope that everyone out there, teachers, students, administrators, and parents, all stay healthy and sane during these coming weeks. We can do so much for each other in our communities, large and small, that will help our country as a whole defeat the common threat we now face. Take care and be well.

Kirk

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eMath February 2020 Newsletter

Happy February my math teacher friends. Hopefully you all had a long Presidents’ Day weekend. I know many in my part of the state have this entire week off from classes. We’ve been working diligently at eMathInstruction on our new middle school courses and on the add-ons for the high school courses. We’ll talk more about middle school in a bit. For now, let’s get into those add-ons.

In our Common Core Algebra I Add-Ons this month we have three new resources to share. To begin, we bring you the Form D assessment for Unit 7 (Polynomials). We also have created the Unit 8 (Quadratic Functions) Exit Tickets. Finally, we bring you a new lesson in Unit 8 on the factored form of a polynomial. We plan to eventually add this lesson to the Next Generation version of Algebra I, which we will begin to finalize next year.

For Common Core Geometry Add-Ons this month we bring you two resources for Unit 7 and one for Unit 8. In Unit 7 we created an activity where students explore the centroid of a triangle. Strangely enough, the topic of the centroid is not addressed anywhere in the Common Core Standards (easy enough to search the term centroid). We discuss the centroid in Lesson 10 of this unit when we look at the medians of a triangle. But, in this activity students find the centroid, cut out the triangles, and see how the centroid becomes its balancing point (center of mass). We then bring you the Unit 7 (Similarity) Form C Assessment. Finally, we have the Unit 8 (Right Triangle Trigonometry) Exit Tickets.

In Common Core Algebra II Add-Ons this month we first bring you a quiz for Unit 7 (Transformations of Functions). We are trying to round out unit quizzes in all of our courses this year (no matter how short the unit). We also bring you the Unit 7 Form D assessment. Finally we also offer the Unit 8 (Radicals and the Quadratic Formula) Exit Tickets.

Our Algebra 2 with Trigonometry Add-Ons for the month begin with the Unit 7 (Trigonometric Functions) Form C Assessment. We also bring you the Unit 8 (Trigonometric Algebra) Exit Tickets. Finally, we also have a Unit 8 Quiz for after students have completed Lesson #3 of the unit.

Besides working on the add-ons, we’ve been very busy with our three new middle school courses, which are aligned to the Next Generation Mathematics Learning Standards. We’ve been getting fantastic feedback from teachers about the courses and we’ve integrated some of that feedback into the lessons for each course. We are now very close to having both the Math 6 and Math 7 books done in their first edition versions. Unlike our high school courses, we will only be offering our middle school workbooks in a single binding that is both spiral bound and three hole punched. The sheets also have a fine perforation so that students can rip pages out and then place them in a 3-ring binder. Here are a couple of pictures of our N-Gen Math™ 6 book:

If you look very hard, you can even see the fine perforation in that second picture. We’ve designed the books to be as light as possible with lower weight paper. We are always trying to balance that weight issue with the quality of the paper.

Work continues on the supplemental materials for these courses, like the videos, unit reviews, answer keys, and assessments. We plan to have the Teacher Plus Answer Keys and workbooks available for use by July 1, 2020. Until then, we can certainly provide quotes for school districts interested in these for next year.

Well, that’s about it for now. Time to get back to work. Have a great rest of February. May it end soon and may spring be upon us again!

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eMath January 2020 Newsletter

Hello 2020! What a start to this new year and (possibly) new decade. We’ve been roaring into the 20’s here at eMathInstruction by making a lot of improvements to our website, including a new(ish) color scheme to make the text easier to read and resources easier to find. More changes will be coming soon that will hopefully make the site even more user friendly.

We’ve also been creating materials for our new middle school courses and for our high school courses. The latest round of add-ons have been posted. Let’s get into those before we come back to what’s happening in middle school.

Our Common Core Algebra I Add-Ons this month include a practice set of problems, a Form D assessment, and some exit tickets. First, we have a practice set in Unit 6 (Exponents) on Negative and Zero exponents. This is a fairly basic problem set, but it allows students who need extra time with these tricky topics some additional practice. We then bring you the Unit 6 Form D Assessment. Finally, we have the Unit 7 (Polynomials) Exit Tickets. We’ve been getting great feedback on the exit tickets. Many teachers are using them as designed and some are using them as warm-up problems the class following the lesson.

In Common Core Geometry Add-Ons this month we have two resources for Unit 6 (Quadrilaterals) and one for Unit 7 (Similarity and Dilations). First, we bring you a practice set of coordinate geometry proofs. This set includes some of the standard problems and also ones that include those unpredictable twists that can often turn up on Regents Exams. We then bring you the Unit 6 Form C Assessment. Finally, we have the Unit 7 Exit Tickets for our unit on Dilations and Similarity.

Common Core Algebra II Add-Ons for this month include three assessments, of various types. First, we have the Unit 6 (Quadratic Functions and Their Algebra) Mid-Unit Quiz. We’ve been trying to round out our unit quizzes this year in all of our courses. We also have the Unit 6 Form D Assessment. Finally, we bring you the Unit 7 (Transformations of Functions) Exit Tickets.

For Algebra 2 and Trigonometry Add-Ons we bring you two resources this month. First, we have the Unit 6 (Polynomials and Rational Functions) Form C Assessment. We also bring you the Unit 7 (Circular Functions) Exit Tickets.

We continue to move along on our middle school program. We’ve been working primarily on four things at this point: editing the text, creating the answer keys, writing unit reviews, and recording videos for each lesson. We plan to have all of these materials, along with the workbooks, available for use on July 1, 2020. And who knows? Maybe even sooner. But we like to be conservative with our timelines. For schools that need them, we can do formal quotes for all of our middle school products.

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eMath December 2019 Newsletter

Happy December eMathInstruction users. We are in our last week of classes here in upstate New York before everyone retires for the next few weeks to rest and recover. We’ve been working hard to generate new resources for you, including videos for our middle school classes and add-ons for our high school courses. Let’s get into exactly what we are adding this month.

In Common Core Algebra I Add-Ons we have three new resources for you. To begin, we have a practice set of problems from Unit 5 (Linear Systems) on solving equations graphically. This skill becomes increasingly more important as students get older because of the prevalence of equations that cannot be solved algebraically. We wanted kids to have another chance at practicing this essential skill. We have now added the Unit 5 Form D Assessment. We also have the Unit 6 (Exponents) Exit Tickets.

For Common Core Geometry Add-Ons, we have three resources as well. First, we bring you a new lesson in Unit 4 (constructions) on using constructions to translate points and figures. This is a great application of the parallel line construction and reinforces the properties of translations and their ties to parallel lines. We also bring you the Unit 5 (Coordinate Geometry) Form C Assessment. Finally, we also have the Unit 6 (Quadrilaterals) Exit Tickets.

In Common Core Algebra II Add-Ons, we have one resource for Unit 5 and two for Unit 6. First we have the Unit 5 (Sequences and Series) Form D Assessment. We then bring you the Unit 6 (Quadratic Functions) Exit Tickets. Finally, we also have a new lesson for Unit 6 on the vertex form of a parabola. This is an increasingly important form for students to work with. We supply a lot of practice problems, both theoretical and applied, so that students can see how to model quadratic functions given their turning point and another point.

Finally, in our Algebra 2 with Trigonometry Add-Ons we bring you the Unit 5 (Complex Numbers) Form C Assessment. We also have the Unit 6 (Polynomial and Rational Functions) Exit Tickets. We also offer a Unit 6 Activity this month on rational expression puzzles. These are really “fun” problems where students first experiment with numbers to decide on a pattern and then try to explain the pattern using skills they have learned throughout the rational expressions part of this unit. This is a great activity for extra credit or for a day right before a break.

Besides add-ons, we’ve been busy working on materials for our three new middle school courses. We have been spending our time working on the videos for each lesson. By the end of this week, we should be done with about 50% of all of these with a projected date of late March to be done with all of them. Meanwhile, we are also moving along on the Unit Reviews and Answer Keys for these courses. We plan to be able to provide formal quotes for the 2020-2021 school year in January of 2020. We won’t have sample books until later in the spring, with a target date of May of 2020 for those first books to be done.

That’s about it for now. We hope here at eMathInstruction that you have a wonderful winter break, whether you celebrate Christmas, Hanukah, Kwanzaa, Yule, or nothing at all. This is a great time for students, teachers, and parents to relax and revitalize. Take care and I hope that the roaring 20’s start off well for everyone!!!

 

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eMath October 2019 Newsletter

October has rolled around with beautiful colors and cold nights everywhere in upstate New York. We’ve been working hard to create add-ons, middle school curricula, and new videos. We’ve also been getting great feedback on both our add-ons this year and the trial version of the middle school curricula. We will have more on that feedback in a later post. For now, let’s get into the latest round of add-ons.

For Common Core Algebra I Add-Ons we have three new resources to share. First, we created a table of contents of QR codes for our videos. This would be a fun insert for kids in their binders so that they can scan a QR code for a given lesson at any point to be taken to that video. We’ve placed this resource at the end of the add-on list. We also bring you the Unit 3 (Functions) Form D Assessment. Finally we’ve also published the Exit Tickets for Unit 4 (Linear Functions and Arithmetic Sequences). I’m hopeful that we are caught up on Exit Tickets enough that we are staying ahead of where teachers are in the curriculum.

In Common Core Geometry Add-Ons this month we have a similar slate of resources. We’ve created the YouTube QR Code list and placed it at the end of the add-on list. As well we have the Unit 3 (Euclidean Proof) Exit Tickets and Form C Assessment. You can never have too many tests with geometry proof to choose from. We hope you like the latest installment.

Common Core Algebra II Add-Ons also include the YouTube Video QR Code List (again located at the end of the add-ons). We then bring you the Unit 3 (Linear Functions) Form D Assessment. Finally, we also have published the Unit 4 (Exponential and Logarithmic Functions) Exit Tickets as well. This was a long unit with lots of lesson, so there are many exit tickets that go along with it.

In Algebra 2 with Trigonometry Add-Ons, we don’t have a QR Code list for you because there are no videos for this course (in case you were wondering). What we do have is a new lesson, a new assessment, and a new round of exit tickets. First, we bring you Unit 3 – Lesson 14.5 – The Vertex Form of a Parabola. This new lesson in Algebra 2 with Trig emphasizes writing the equation of a parabola in vertex form if its vertex and one other point is known. We also offer the Unit 3 (Quadratic Functions) Form C Assessment. Finally, we bring you the Unit 4 (Radicals and the Quadratic Formula) Exit Tickets.

In other news, we’ve just started to record and upload videos for our middle school series. The first unit of N-Gen Math™ 6 is up on our site. We hope to add many more this month. Watch for them to start going up for the first few units of each course. Speaking of videos, it’s time to get back to recording those. Have a great rest of your October!

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eMath September 2019 Newsletter

It’s September and schools are now in full swing here in New York and around the country. Temperatures are starting to get cooler, at least in the great Northeast. We’ve been working hard here at eMathInstruction on add-ons and on our new Middle School curriculum. So much work and so little time. Let’s get right to the new resources.

In our Common Core Algebra I Add-Ons this month we bring you three additional resources. We received a lot of good feedback on our exit tickets from the last month so we decided to create a lot more of them this month in all of our courses. In Algebra I we bring you both the Unit 2 and Unit 3 Exit tickets. We will continue to put out exit tickets each month, with at least one additional unit added. We also have the Unit 2 Form D assessment for Algebra I to give you more options for this course.

Common Core Geometry Add-Ons for September include exit tickets as well as two other resources. First we have the Unit 2 Exit Tickets on Transformations, Rigid Motions, and Congruency. We also bring you a set of problems on Congruency and Rigid Motions. We all known how challenging this connection can be for students, especially when it comes to expressing their thinking in words. This problem set gives students another four lengthy problems to get this practice. We also have the Unit 2 Form C assessment.

The Common Core Algebra II Add-Ons will start to sound a bit repetitive. We wanted to get ahead on exit tickets for certain courses so we also created the Unit 2 and Unit 3 exit tickets for Common Core Algebra II. We also bring you the Form D Assessment for Unit 2.

A similar scenario plays out in our Algebra 2 with Trigonometry Add-Ons. We have the Unit 2 and Unit 3 exit tickets for this course as well as brining you the Unit 2 Form C Assessment. Hopefully we’ve published enough exit tickets now to last all of the courses until the October add-ons are published.

In other eMathInstruction news, we are busy working on our middle school courses. As a reminder, we have published the rough draft versions of our N-Gen Math™ 6, N-Gen Math™ 7, and N-Gen Math™ 8 courses that are aligned to the Next Generation Mathematics Standards for New York State. This year we will be recording the videos that go along with these lessons as well as creating the answer keys and reviews for the units. We won’t have anything to sell until late Spring of 2020. But, schools are encouraged to use the lessons and homework sets that we’ve published this year on a trial basis. Read all about our plans in the following post:

The N-Gen Math™ Middle School Series (6th through 8th) First Drafts

There is no busier time here at eMathInstruction than the month of Septembers. It’s when we are helping out schools who are having problems with their accounts, filling orders, creating products, and getting everything set for the school year ahead. Of course we welcome your input and questions. Feel free to always let us know what you think by sending us feedback on our Feedback Form. Until next time, keep working hard and enjoy the oncoming Autumn.

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eMath August 2019 Newsletter

It’s mid-August, which means the start of school is just a few weeks away in New York. In many other states, it has already begun. At eMathInstruction, summer is our busiest season as we fill orders and work on our first round of add-ons for the year. Let’s get into the add-ons for August. This year I wanted to play around with exit tickets, so am going to be releasing a new unit of them for each course each month. Let’s get into all the details.

In Algebra I Add-Ons this month we have three resources to add. First, we have the Unit 1 exit tickets. For all the exit tickets, I created them so that there are three identical problems per page that teachers can photocopy and then cut and hand out to their students. I’d love feedback on this format. The answer keys to the exit tickets are very bare boned and intended for teacher and not student use. We have also created an enrichment practice set for Unit 1 on Mindful Manipulation. This is a follow up to our Seeing Structures in Expressions lesson and challenges kids to use real number properties to rewrite expressions in creative ways. Finally, we also are contributing the Form D assessment for Unit 1. This now gives teachers four mirror assessments for this unit to choose from.

For Common Core Geometry Add-Ons this month we also have Unit 1 exit tickets. Exit tickets for Geometry will become very interesting once we venture into the realms of transformations and proofs, but for now they were relatively easy to create and will hopefully give teachers good feedback on how a given lesson went. We also bring you the Form C version of the Unit 1 Assessment, giving teachers three assessments for this unit to choose from. Finally, we created an enrichment lesson in Unit 2 on Kites. This is a fantastic lesson to do with kids after the lessons on isosceles triangles and reflections. We examine how students can use the nature of kites to reflect points across lines. This is an exceptionally nice lesson to reinforce the idea that points that lie equidistant from the endpoints of a segment must lie on that segment’s perpendicular bisector.

Our Common Core Algebra II Add-Ons for August again include Unit 1 exit tickets. We also bring you the Form D assessment for Unit 1. We will continue for all of our courses to bring you new unit assessments each month so that you can give your students a variety of these and feel confident from year to year about the integrity of your testing. Finally, we also have a Unit 2 enrichment lesson on sets with infinite numbers of elements. This is a really cool lesson (according to a very big math geek) that gets into more complex set terminology and also looks at Dedekind’s test for sets with infinite cardinalities. This is a really nice lesson to do with students who need a little more depth in sets, mappings, and functions.

Algebra 2 with Trigonometry Add-Ons this month include the Unit 1 exit tickets (that’s starting to sound a bit repetitive) as well as two additional resources. First, we bring you the Unit 1 Form C assessment. We also have created a great set of problems on linear regression. The problems mainly emphasize looking at equations of best fit lines for large data sets and interpreting them as well as evaluating their use. This is a good set of problems to simply allow kids to work more with this extremely important topic.

Besides our add-ons, we’ve been busy this summer finishing up the first drafts of our three middle school courses, N-Gen Math™ 6, N-Gen Math™ 7, and N-Gen Math™ 8. I’m not going to rehash everything in this post since I wrote one just a few days ago about the courses. If you missed it here’s a convenient link:

The N-Gen Middle School Series

Most importantly remember two things about these courses:

  1. They are aligned to the New York  Next Generation Math Leaning Standards that go into place in the 2020-2021 school year for the K-8 level (the 2021-2022 school year for Algebra I).
  2. We won’t have anything to sell for these courses until the spring of 2020.

We are very excited this coming year to create videos and other materials for these courses. For now, though, I need to get back to the last half of August! Enjoy the beginning of the school year everyone.

Kirk

 

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eMath April 2019 Newsletter

Hello Math Teachers and Learners. Spring has sprung! In fact, many schools in New York are on Spring Break this week, including our own of Red Hook. At eMath Instruction we’ve been working away on materials for both our Common Core High School courses and our Next Generation Middle School courses. Of course, we’ve also published some new Add-Ons, so let’s discuss those first.

In Common Core Algebra I Add-Ons this month we have a Form C Assessment and an extra practice lesson. First, we bring you the Unit #9 (Roots and Irrational Numbers) Form C Assessment. We also have posted a Unit #10 Lesson #5.5 Practice Lesson on Two Way Frequency Tables. This short practice sheet gives your students more use in the terminology and reasoning involved in two way frequency charts. This is a great resource for students who just may need a bit more practice on these types of problems.

For Common Core Geometry Add-Ons this month we bring you an enrichment lesson and a Form B Unit Assessment. First we have Unit 9 – Lesson 10.5 on Finding the Equation of a Circumscribed Circle. This is a fantastic lesson that incorporates algebra, the equations of circles, and how we find the circumcenter. This lesson is not for the faint of heart as the algebra involved is tough. Consider using this for strong students who want more of a challenge! We also have the Unit 9 Assessment.Form B for Circle Geometry. It’s always good to have an additional assessment for this unit.

Our Common Core Algebra II Add-Ons this month are a Form C Assessment and an enrichment lesson. First, we bring you the Unit 11 Circular Functions Form C Assessment. Use this as a makeup or to help review for the Regents. Either way, it is a great resource. We also bring you Unit 12.Lesson 5.5.Enrichment Activity on Independent Events. This Lesson/Activity uses infinite geometric series to determine the probability of players winning an unfamiliar game. This lesson is a nice intersection of work students did with geometric series and work they did with probability. Although not material tested on the New York State Regents exam, it is a great lesson to show kids another application of geometric series.

Finally our Algebra 2 with Trigonometry Add-Ons are an additional lesson in Unit 11 as well as the Unit 11 Probability Form B Assessment. The additional lesson is Unit 11.Lesson 8.5 on Pascal’s Triangle and the Binomial Expansion. Our original text does not look at Pascal’s Triangle, so this is a lesson to introduce it to kids as well as show them how to use it to help expand binomials. We also explore some interesting patterns in the triangle including how the rows sum to powers of 2.

In other news, we’ve now posted the first version of our N-Gen Math™ 6 Curriculum on our site. If you haven’t gotten our email blasts about our Next Generation Standards aligned Middle School curriculum, let me give you the quick summary. We are writing courses for 6th, 7th, and 8th grade Math to align to the “new” New York State Next Generation Math Standards. The Next Gen Standards are to be fully implemented in the 2020-2021 school year. So, that means next year K-8 is still aligned to the CCSS. We will be posting our Next Gen courses for 6th, 7th, and 8th in their Beta (rough draft) forms as we “finish” them and go through a round of edits. We hope N-Gen Math™ 7 will be posted this June and N-Gen Math™ 8 by next September. That will give schools an entire year to take a look at them before the standards officially go into place. For now, here are their three awesome covers:

O.k. So that’s it for April! I hope that you all are having great Spring Breaks or will have a great break next week. As always, let us know if you have any thoughts.

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eMath March 2019 Newsletter

Ahh, March! We’re finally at the inflection point (almost) on the sunlight curve, which means we are picking up daylight at a greater rate than at any other time of the year.

Temperature will need to wait for another month before it climbs at its most rapid pace. It’s a somewhat remarkable fact that the daylight and temperature sinusoidal curves have just about a month offset from each other (temperature shifted one month forward from daylight).

I love seeing so much of the world through a mathematical lens. Speaking of which, since we’ve hit the midpoint of March we have a whole bunch of add-ons to tell you about. Let’s get into them.

For Common Core Algebra I Add-Ons we bring you a practice lesson and a Form C assessment, both for Unit #8 – Quadratic Functions and Their Algebra. We created a Lesson #6.5.Finding the Zeros of a Quadratic.Practice which provides students more work with finding and thinking about the zeros of a quadratic. This is a great lesson for students to get a  practical application of the zero product law and connections between factors and zeros. We also bring you the third assessment for this unit in our Unit #8 Formative Assessment.Form C.

The Common Core Geometry Add-Ons for this month contain a Form B assessment and our first progress quiz in a unit. First, we have the Unit 8 – Right Triangle Trigonometry Form B Assessment. It’s always nice to have a makeup for this test given the diagram work inherent in trig problems. Then, we bring you a Unit 9 – Circle Geometry Progress Quiz to be given after Lesson 6. This unit we felt was particularly long with a particularly great amount of very new material for them. So, we felt that a quiz at this point gives the teacher a good sense for where students are at on this challenging material.

Common Core Algebra II Add-Ons also bring two assessments, both for Unit 10 – Polynomial and Rational Functions. First, we have a Progress Quiz that covers only the polynomial material for the unit (the first four lessons). We felt that teachers might want to assess this material in isolation before moving onto the rational expressions work. We also have a Unit 10 Form C Assessment.

Finally, Algebra 2 with Trigonometry Add-Ons contain a practice lesson and a Form B assessment. These are both for Unit 10 – Exponential and Logarithmic Functions. First we bring you Lesson #7.5 – Log Law Practice. We all know how strange the log laws are when first exposed to them. This lesson gives lots of extra practice in manipulating logarithmic expressions using the laws. We also bring you the Unit 10 Form B Assessment.

In other news, I had a fantastic visit with the students and teachers from Edward R. Murrow high school in Brooklyn.

I got to present to about 3,000 of their students (or so I was told) over the span of the day. I did a presentation of some cool math and math history. The reception I and the presentation got from the kids was just amazing. They took part when I asked them to play around with some problems and just overwhelmed me with their positive attitudes and energy. The fact that it was a Friday may have helped, but I have to think it was more about how the culture of their school and especially their math teachers encourages them to explore ideas in their learning that sometimes go outside of the box.

Thank you, thank you, thank you students and teachers at Murrow!!!

Oh, and it was Pi Day yesterday, one of our few mathematical holidays. I love the number Pi and find it fascinating in so many ways. It’s existence as a number is obvious from the simple perspective that all circles are similar and thus the ratio of their circumference to diameter would have to be a constant. The fact that it is a number slightly greater than 3 and that it is irrational is fantastic. I took a moment to visualize its size compared to a circle whose diameter was 1 and produced this graphic on FX Draw:

 

In other news, we sent out an announcement recently about our new line of middle school curricula. We are producing  Math 6, Math 7, and Math 8 curricula , similar to what we have for high school courses. These courses will align to the Next Generation standards that will start to be implemented at the middle school level in the fall of 2020. We are posting our Beta versions of the texts as we finish them and their first edits. We already have Math 6 posted:

N-Gen Math™ 6

And here is its super cool cover, by the awesome Michael Frey. (To see more of Michael’s work just click on his name.)

Wait until you see the ones for Math 7 and Math 8. We plan to post the Beta version of Math 7 as early as May, but more likely at the beginning of June. Math 8 will not be available until September or October of next fall. Next year we will be recording videos for the three courses and creating more resources for them, like the answer keys and other items.

For now, I think that just might be enough. Have a great beginning of your Spring everyone.

Kirk