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eMath September 2020 Newsletter

Now that it’s September, schools around the country, including New York State, are in full swing. Around New York, schools are experimenting with in school classes, hybrid models, and fully remote teaching. Each has its challenges and there are still a lot of questions about how the 2020-2021 school year is going to play out. At eMathInstruction, we are doing our best to create materials that will help teachers navigate these challenging times.

For this month, we start by offering SMART Notebook files for the first three units in each of our middle school courses. These files can only be used by the program SMART Notebook, which is the standard software used by teachers who have SMART Boards. Because of how many teachers use this software and how many are in remote learning situations, we thought it would be wise to post them. I did want to mention that some of the presentations have animation in them and teachers should experiment with the presentations before using them in a remote situation. The files are located as the last resource under each of the lessons.

For our new additions in Common Core Algebra I this month, we bring you two new resources. First, we have published the Unit 4 Assessments, Forms A, B, and C, in Spanish. As I mentioned in last month’s newsletter, these tests are identical to the original English versions, but have been translated into Spanish. We hope that if your school has native Spanish language speakers that these tests will help you better understand what math they have learned and what still needs work. We also created a new lesson for Unit 2 (Linear Expressions, Equations, and Inequalities). This lesson is entitled “Using Structure to Understand Solutions to Equations.” It has students solve equations with integer solutions both algebraically and using tables on their calculators. Particular emphasis is placed on understanding how the structure of an equation can tell us whether it has no solutions or an infinite number.

In Common Core Geometry this month we bring you two new resources for Unit 2 (Transformations, Rigid Motions, and Congruence). First, we have a mid-unit quiz that can be given after Lesson #5. We provide you with two forms of this quiz for more flexibility. We also bring you the Form D assessment for Unit 2.

For Common Core Algebra II this month we have one resource for Unit 3 (Linear Functions, Equations, and Their Algebra) and one for Unit 4 (Exponential and Logarithmic Functions). For Unit 3, we bring you a mid-unit quiz and include two forms of the quiz. For Unit 4, we bring you an enrichment lesson on solving equations that involve logarithms. Please note, this is not a lesson on solving exponential equations using logarithms, but a lesson on solving equations that contain logarithms. We keep them relatively simple and do not involve log laws to combine logarithms. We emphasize solving these equations by applying inverse operations, including exponentiation. Some time in the lesson is also devoted to solving logarithmic equations graphically.

Finally, in Algebra 2 with Trigonometry we bring you a Unit 3 (Quadratic Functions and Their Algebra) enrichment lesson on “Using Structure to Factor.” This lesson requires students to see the structure in an expression and use it to factor more challenging expressions. We also bring you the Unit 3 Form D assessment.

This has been an “interesting” start to the school year. With students and teachers on Zoom, Teams, Classroom, Schoolology and other platforms just trying their best to make this learning thing work this year. I don’t know about anyone else, but I long for the days of having kids in a packed classroom five days a week. Good teaching and thorough learning was hard enough back then, and now it is so much more challenging. We don’t have a crystal ball here at eMathInstruction, and we certainly don’t know what the New York State Department of Education is planning in terms of testing at the end of the year. Our ardent hope is that they will either cancel the testing, as they did last year, or will modify it and the standards that should be taught in a way that makes sense given the reduced instructional time that all students are experiencing this year. Oh, and we hope they do this soon and don’t wait until mid-March of 2021. Until next month, stay healthy, stay sane, and keep fighting the good fight. -Kirk

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eMath August 2020 Newsletter

Ah, 2020! As schools “re-open” around New York and the country, the learning environment has never been more strange or more stressful. We’ve been busy here at eMathInstruction filling orders and creating resources to help with whatever teachers and students face this coming year. It’s our first year with middle school courses, so we have lots of new resources on that front as well as all new add-ons for our high school courses.

Before we get into the new middle school and high school materials, we first should mention the new way we are organizing resources for each course. We have now moved all resources for a given unit of a course in that unit’s page. We used to have only the lessons and homework sets for a given unit located there, with reviews, assessments, and add-ons located in other pages. We now have moved all of those into the individual unit pages. Generally, we have the standard lessons/homework sets first, followed by the unit review, unit assessments, quizzes, and additional lessons or activities that have been added-on. We have color coded these so that it is easy to quickly identify free lessons versus paid items, such as reviews, assessments, and add-ons. Here is an example from Unit 2 in Common Core Geometry:

Now that our resources are easier than ever to find, let’s discuss the latest additions to all of our courses.

In Common Core Algebra I this year we are adding Spanish versions of our first three forms of the unit assessments (Forms A, B, and C). We worked with three fantastic math teachers who were also bilingual in Spanish to create these translations for us. Each exam was translated by one teacher and then reviewed by another. For this month, we are releasing a number of these assessments so that teachers can begin to evaluate how they can use them effectively. We have included Units 1, 2, and 3, for a total of nine assessments. You will find these as an option under the unit assessments. Here is a screenshot of Unit #1 from Algebra I:

Notice that the PDF DOCUMENT – SPANISH is located immediately below the PDF ANSWER KEY for each exam. Please also note that we did not translate the answer keys into Spanish on the assumption that the person grading the student exams will be fluent in Spanish.

In Common Core Geometry this month we bring you two resources for Unit 1 (Essential Geometric Tools and Concepts). First, we have a mid-unit quiz with both a Form A and a Form B. Although this would be a very early quiz, we believe it is more important than ever to make sure kids are starting off with a solid understanding of the material. We also bring you the Form D assessment for Unit 1.

For Common Core Algebra II we bring you a mid-unit quiz for Unit 1 (Algebraic Essentials Review). We are committed this year to creating mid-unit quizzes in each of our high school courses for each unit. We know that many of these have already been created, but we want to make sure we have consistency in each unit with both a Form A and Form B mid-unit quiz. We also bring you an add-on lesson for Unit 2 (Functions) on Exploring Functions Using the Graphing Calculator. In this add-on, we give students problems that force them to experiment with their graphing window as well as tools like the maximum and zero command to find important features of real-world functions. We think this is an excellent resource for encouraging kids to use their calculators to explore the behavior of unfamiliar functions.

In Algebra 2 with Trigonometry, this month we offer up the Form D Unit Assessment for Unit 1 (Introduction to Functions) and Unit 2 (Linear Relations and Functions). Our general goal is to have four forms of each unit assessment for each course.

Our middle school courses are brand new this year, which means that we have a much smaller library of resources for them at this point. Right now, teachers will find in each unit the lessons for the unit and the unit review. As add-ons this year, we will be publishing the first round of unit assessments for each course. For this month, we have published the unit assessments for Units 1, 2, and 3 for each course. You will find the assessments as the last resource (for now) of each unit. For example, Unit 3 in N-Gen Math 6 looks as follows:

We will continue to publish the unit assessments each month as the add-ons for the middle school courses. Next year we plan to add Form B assessments, as well as quizzes and exit tickets.

I don’t think I’m going out on a limb to say that the fall of 2020 will be even more strange and stressful for teachers and students than even the spring of 2020. And that was no walk in the park. Teachers will need to be ready to move from fully in school to hybrid models to fully remote learning at a moment’s notice. At eMathInstruction, we hope to be able to help with whatever transitions you have to make as a teacher this year. For now, take care of yourselves, stay healthy, and stay sane.

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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 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 November 2019 Newsletter

Happy November math teachers! Now that we’ve gotten the major candy holiday out of the way, it’s time for the weather to get a lot colder and the days to get a lot shorter. As the holiday season approaches, we are working hard at eMathInstruction to flesh out our new Next Generation aligned middle school books as well as continuing to supplement our high school courses with their monthly add-ons. Let’s get right into those.

Our Common Core Algebra I Add-Ons this month include some assessment items and a practice problem set. First, we bring you a set of practice problems for Unit 4 (Linear Functions and Arithmetic Sequences) on writing the equation of a line given two points that lie on the line. This is an essential skill and fluency expectation at the Algebra I level. We include both standard and applied problems for practice. We also have the Form D of the Unit 4 Assessment. Finally, we also offer our Unit 5 (Linear Systems) Exit Tickets. We were just recently at the AMTNYS conference in Rochester and we heard back from a lot of teachers who are loving the exit tickets. Some of them are using them as Do Nows the day after the lesson, a suggestion we wanted to pass along.

In our Common Core Geometry Add-Ons we bring you both the Unit 4 (Constructions) and Unit 5 (Coordinate Geometry) Exit tickets. My hope is that we are now ahead of where teachers are in each course in terms of the Exit Tickets. We know you need these at the beginning of the unit and will continue to turn them out each month. We also bring you the Unit 4 Form C Assessment. Unit 4, as mentioned, is on Constructions, so take a look at all three assessments we now have for Unit 4 and mix as needed.

This month in our Common Core Algebra II Add-Ons we bring you four items. First, we bring you mid-unit quizzes in both Unit 3 (Linear Functions) and Unit 5 (Sequences and Series). Both of these units are quite short, so we hadn’t written quizzes for them, but we heard from teachers that they liked to have these mid-unit quizzes, even for the shorter units, so we wrote one for each of these (one already existed for Unit 4). We also bring you the Unit 4 (Exponential and Logarithmic Functions) Form D Assessment. Finally, we also have the Unit 5 Exit tickets out for use.

In Algebra 2 with Trigonometry Add-Ons this month we have a practice lesson and a few assessment items. To begin, we have a practice set of problems on the quadratic formula from Unit 4 (Radicals and the Quadratic Formula). This practice set gives students ample opportunity to use the formula in both standard and applied settings and has the kids express their answers in a variety of ways (rational, simplest radical form, and rounded). We also bring you the Form C Assessment for Unit 4. Our final add-on for Algebra 2 with Trigonometry are the Unit 5 (Complex Numbers) Exit Tickets.

In other news, we are working hard on the N-Gen Middle School math series as well as our high school courses. We are spending about two weeks each month recording videos. We will post them as we finish and edit them. Some videos are already up in each of the three courses and we hope to add quite a few more before the Thanksgiving break.

Finally, I’d like to give a shout-out to all of the fantastic teachers, administrators, and general math educators who I met this past week at the AMTNYS (Association of Mathematics Teachers of New York State) Conference in Rochester, New York. It was a long two days for both myself and my fantastic wife Shana, but the conversations we had with teachers were deep and thoughtful. We received wonderful feedback on both our high school and middle school courses. A special thanks and congratulations to Dana Morse, the hardest working (and best dressed) Texas Instruments calculator expert I’ve even met. He brings the fun and received an award from AMTNYS for always being a friend to math teachers around New York.

That’s it for now. I’m starting to record videos for N-Gen Math™ 6 within the next hour, so I need to get back to that. Have a great Thanksgiving break everyone. Get some rest and get ready for the craziness that we know as December.

Kirk

 

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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.