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TI-Nspire Directions for Algebra I and Geometry by Jeanne Oliveira

Our good friend and longtime contributor, Jeanne Oliveira, from Germantown CSD has created an amazing collection of TI-Nsprire directions that go with the eMath Curriculum for both Algebra I and Geometry. Some of these we’ve posted in the past. But now we have the full collection. These include both PDF versions of the instructions and TNSP versions. I’m going to post them by unit in zip folders for easier download.

Algebra I:

eMathInstruction Alg I Unit 01 Nspire Instructions

eMathInstruction Alg I Unit 02 Nspire Instructions

eMathInstruction Alg I Unit 03 Nspire Instructions

eMathInstruction Alg I Unit 05 Nspire Instructions

eMathInstruction Alg I Unit 06 Nspire Instructions

eMathInstruction Alg I Unit 07 Nspire Instructions

eMathInstruction Alg I Unit 08 Nspire Instructions

eMathInstruction Alg I Unit 09 Nspire Instructions

eMathInstruction Alg I Unit 10 Nspire Instructions

eMathInstruction Alg I Unit 11 Nspire Instructions

 

Geometry:

eMathInstruction Geometry Unit 05

eMathInstruction Geometry Unit 06

eMathInstruction Geometry Unit 07

eMathInstruction Geometry Unit 08

eMathInstruction Geometry Unit 09

eMathInstruction Geometry Unit 10

 

Jeanne spent a lot of time on these and plans to do a set for Algebra II as well. We’d like to thank her for sharing these materials with the wider math education community. Thanks Jeanne!

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TI Inspire Directions for Algebra I – Units 2 and 3 by Jeanne Oliveira

Our good friend Jeanne Oliveira from Germantown sent us these fantastic TI Inspire direction for Algebra I Units 2 and 3. We do all of our video instruction on the TI-84+, but we know that many schools, including our own Red Hook, use the TI Inspire. Jeanne took the time to translate all of the eMathInstruction lessons in Units 2 and 3 that have calculator instruction into TI Inspire. Not every lesson has a calculator involved, but for those that do, these are fantastic resources.

Unit 2 – Linear Expressions, Equations and Inequalities

Alg I Unit 2 Lesson 1

Alg I Unit 2 Lesson 3

Alg I Unit 2 Lesson 8

Unit 3 – Functions

Alg I Unit 3 Lesson 1

Alg I Unit 3 Lesson 2

Alg I Unit 3 Lesson 3

Alg I Unit 3 Lesson 5

Alg I Unit 3 Lesson 7

Thank you to Jeanne for spending the time making these and for sharing them with our Forum readers. If you are a teacher who has a resource you would like to share, including assessments, please let us know.

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eMath September 2018 Newsletter

It’s mid-September, which means classes have started and both teachers and kids are getting back into the school groove. We’ve been super busy here at eMathInstruction handling orders, sorting through technical issues (lost codes, lost codes, and more lost codes), writing books, and creating add-ons. We’ve got those up and ready for you, so let me lay out what’s new in September.

For Common Core Algebra I Add-Ons we’ve got two new Unit 1 resources. First, we have a new Skill Building set. This is our second for Unit 1 and we added it because it is so crucial that students establish these early skills, most of which should be a review from 8th grade and earlier. We’ve also brought you a Unit 1 Assessment Form C. That’s right!  This is our third assessment for Unit 1. We’ve heard from teachers that these additional assessments are critical, so we are committed to creating more of them for all of our courses.

Common Core Geometry is our “youngest” course and thus has the least add-ons so far. For this month’s Common Core Geometry Add-Ons we bring you two resources for Unit 3 (Euclidean Proof). First we have a Lesson 6 Warm-Up on parallel line terminology and properties. This is a great resource to use to review all of the terminology associated with parallel lines (alternate interior, exterior, same-side, corresponding). Use this if you think your students need this terminology review before higher-level work with parallel lines. We’ve also brought you the Form B (second) Unit 3 Assessment. We will get out a second assessment for each of our Geometry units this year, hopefully having them all done by February.

In Common Core Algebra II Add-Ons we bring you a couple of Unit 1 resources. We created a skill building set for Unit 1 similar to the ones we have for Algebra I. This set of problems gives students extra practice on some basic skills that they will need in order to be successful throughout the course. We also bring you the Form C of the Unit 1 Assessment. So, now you have three assessments for this unit to mix and match.

Algebra 2 with Trigonometry is our oldest course having been created in 2008, well before the Common Core Standards were adopted in New York (just a little history). For this month’s Algebra 2 with Trigonometry we bring you a Form B exam for Unit 3 (Quadratics). For Unit 4 we have a really nice Quadratic Modeling Extended Problem that has students play around with some projectile physics.

I don’t know about anyone else, but I’m pretty happy it’s Friday as I write this. As a teacher, you always sort of forget how good a Friday feels over summer break. But, once schools begins again, there isn’t anything quite like it. For now, enjoy your classes, your kids, and your beautiful fall weekends (Winter is coming).

 

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TI Inspire Directions for Algebra I – Unit 1 by Jeanne Oliveira

Our good friend Jeanne Oliveira, from Germantown High School, is creating TI Inspire instructions to go with our Common Core Algebra I lessons. She has generously volunteered to share them with us so that we can share them with you. Last spring, we published Jeanne’s Inspire directions for Unit 10. Here’s a link to that post:

TI Inspire Directions for Unit 10 (Statistics) by Jeanne Oliveira

Now, she has created direction for Unit 1 – The Building Blocks of Algebra. Jeanne only creates these handouts if the lesson contains a significant amount of calculator work. Here are her files for Unit 1:

Alg I Unit 1 Lesson 1

Alg I Unit 1 Lesson 2

Alg I Unit 1 Lesson 5

Check these out if you primarily use the TI Inspire calculator and want students to have a great reference for which functions to use on the calculator and when to use them.

Thanks again to Jeanne for sharing these files!

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TI-Inspire Quick Reference Guide (by Great Neck Middle School Period 8 Algebra I)

Zach Boyt, a teacher at Great Neck Middle School, just sent us a really cool guide for the TI-Inspire that his 8th period Algebra I class created.

Zach was blown away by the quality and thoroughness of the guide. And, I have to say I was as well after looking at it. This is a really good resource to have if you use the TI-Inspire in your classes. Here’s the guide:

NMS Team Blue Pd 8 NSpire Guide

Thank you to Mr. Boyt’s 8th Period Algebra I class for sharing this excellent resource! Good luck to everyone taking the exam tomorrow.

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Problem Sets for Live Reviews (June 11th, 13th, and 18th)

We have Live Regents Review Sessions coming up.

A few teachers have suggested that we post the problems we are going to work through. These problems sets are rather long (15 to 25 pages each). We are posting them as we get them up.

Algebra I Problems:

CC Alg I Live Review Handout 2018   (pdf)

Common Core Algebra I Live Review Problems

Algebra II Problems:

CC Alg II Live Review Handout 2018  (pdf)

Common Core Algebra II Live Review Problems  (word)

Geometry Problems:

CC Geo Live Review Handout 2018  (pdf)

Common Core Geometry Live Review Problems (word)

We likely will not be able to do all the problems in each of these sets (there are a lot of them). But, I will try to get through as many as possible in the three hours we have on each night.

 

 

 

 

 

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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 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.

Archimeade’s Rotating Spiral

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.

Archimeade’s Rotating Spiral

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!!!