How Imaginary Numbers Led Us to Dual Enrollment

Over the past couple of years, Geneva has been struggling with math, a subject she has always enjoyed. She was working through Advanced Algebra with Life of Fred and despite my best efforts, I just couldn’t help her when she got stuck.

To be honest, I don’t recall ever learning about imaginary numbers and I just couldn’t grasp it. I was frustrated and she began to lose her confidence.

An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i, which is defined by its property i2 = −1. The square of an imaginary number bi is −b2. For example, 5i is an imaginary number, and its square is −25.

Can you explain this in simple terms? Fortunately, we discovered Mr. D Math in the spring and through his weekly instruction, her confidence and enthusiasm were restored.

dual-enrollment

As the new school year approached we contemplated continuing with Mr. D but when her girlfriend shared that she would begin dual enrollment coursework at the local community college, Geneva opted to do the same. She thereby took the math placement exam in August with no preparation whatsoever and even taking the summer off (our first “true” summer vacation).

She placed into Algebra 1 (Math 60) – just where I would have predicted based on what I knew of her skills. The way the course was designed, she would be working with a software program called ALEKS at her own pace. Her instructor informed her that if she completed the coursework and passed the final exam by midterm, she could then begin the next class, Algebra 2 (Math 65).

At the close of the term, she will have finished two consecutive math courses. Delightfully, as she completed them both within the 10-week term, we will only have to pay for one and yet both will appear on her transcript.

Our dual enrollment experience has {thus far} been very successful. Join me again on Saturday when I share a peak into our 4-year high school forecasting.

Five Benefits of Online Classes & Five Classes I Recommend

Online classes are becoming more and more popular. According to the National Center for Education Statistics, an online class is defined as “a formal education process in which the students and instructor are not in the same place.”

Online classes include pre-recorded tutorials and videos providing step by step instructions on a variety of topics. As they pursue their independent study projects, my kids have watched hundreds of these type of lessons on YouTube – whether she is learning to tie a new fly, improve her watercolor techniques, channeling his inner Indiana Jones, or learning to code a Minecraft plugin.

Online classes also include direct interaction with the instructor and occasionally live instruction either through a virtual classroom or occasionally through Skype. In fact, when our language tutor accepted a position in Indiana, our Mandarin classes transitioned from live in-person classes to classes delivered via Skype.

onlineclasses5 Benefits of Online Classes

Whether you are a seasoned homeschooler or your children attend public school, I have outlined five advantages of online learning that will persuade you to consider alternative approaches to education.

1. Learn Whatever You Want

The great variety of online programs and courses is a huge advantage of this type of education. It doesn’t matter where you live or what you want to study – you can always find a suitable course or even a degree program that you can follow from home.

2. Comfort

Forget about attending classes for hours and sitting in an uncomfortable chair. When you opt for an online course, all lectures and needed materials are provided via online platforms, so you’ll easily access them from the comfort of your home or via the subway as you commute into the city.

3. Self-Paced

Most online classes are self-paced. This means that the student can start completing the targets at any time and she can arrange a learning schedule that meets her individual needs. Many even allow access to the material for a year or more.

4. Less Expensive

While the actual cost varies from one program to another, online courses are generally always less expensive than their traditional counterparts. Many online courses are completely free of charge. MIT, for example, offers all course materials online without any charges. Though free courses don’t usually come with certificate of completion, they are still more than useful for anyone who wants to learn from prestigious educators.

5. Achieve Your Goals

Taking online classes allows you to work toward your goals at your own pace. As homeschoolers, this is something with which we are very familiar. Upon completion of online classes and tutorials, students can frequently take assessment tests to prove competency in the subject and even receive college credit.

Tips for Success

Not everyone has what it takes to succeed in the non-traditional setting of online classes. They will test a students self-discipline, time management skills, and ability to learn independently.

In face-to-face classrooms, there are reminders to finish projects or assignments. Frequently, students are graded for simply showing up and participating. This is not always the case in an online class. You should thereby learn to login regularly to see what has changed or been updated, or who has replied to your posts. This is especially true if the course is graded or provides a certificate of completion.

Online Classes I Recommend

Art History with Alisha

Art & Mixed Media

Mixing with the Masters is one of several mixed media workshops by Alisha Gratehouse that we have enjoyed. Each week, we receive an email with a private access code to a video lesson. The necessary materials are clearly outlined and a list is provided in advance. Upon receiving the email, we simply gather our materials and jump in.

What I love about these online workshops is that I can pause the video at anytime or “rewind” if I need to see a technique demonstrated again. With lifetime access, we can work on our art projects whenever we want and at our own pace.

In addition to the art lessons, Mixing with the Masters includes:

* A short biographaphical video on each artist
* Printable PDF study guides
* A weekly student “challenge”
* Printable patterns and templates
* Inspirational quotes by each artist
* Suggested books, videos, and websites for further learning
* Private Facebook group in which to share students’ works of art

Hanbridge Mandarin

Foreign Languages

We have had the opportunity to try a variety of online foreign language courses. Hanbridge Mandarin and Middlebury Interactive are our two favorite. While both are very different in their approach, they each provide opportunity for students to develop proficiency in a foreign language.

Hanbridge utilizes a virtual classroom and live interaction with a native speaker. Middlebury uses an immersion approach similar to the well known Rosetta Stone. Both incorporate videos, stories, and games throughout the lessons. Students are completely submerged in the new language from the get-go. They must listen, speak, read and write in the foreign language.

Bright Ideas Press

North Star Geography

North Star Geography, is written by Tyler Hogan and is designed to give students a deep understanding of how geography impacts all of us —with real-life applications for college, career, citizenship, and ministry. You will love the open ended approach that allows you to mold the program to how you homeschool. I love that the program is flexible – providing schedules for one-semester, one-year, and two-year options.

Whether you build your own atlas, create unique hands-on projects, dive into a research quest, or set off on a fieldwork itinerary, you will find North Star Geography packed with a wide variety of learning options for every student’s interests. My favorite components of the textbook are the sidebars that provided us with a variety of cultural diversions. We also loved creating our own atlas and geography picture dictionary.

Through the online class, each of the book’s 16 lessons is available to download individually, along with the activity directions, map work, memorization, research questions, and note-taking pages. When you’re done with the lesson, take the quiz online and get feedback instantly!

The North Star Geography Online Class includes:

* Hands-on activities and projects
* Map work, memorization, and geographic research questions (with answers!)
* Quizzes, a final exam, and a grading rubric for the homework
* Reproducible outline and reference maps, note-taking pages, and graphic organizers
* Audiobook version of the Student Reader

 

Confidence & Success with Mr D Math @EvaVarga.netMr. D Math

Mr. D offers both Algebra I and Algebra II as well as a variety of other courses including SAT Prep. On a weekly basis, students work through the material and develop mastery of the math concepts, while also learning to manage their time, coursework completion, tests and grades.

My daughter loved the Mr. D Algebra 1 course. Her experience really helped to build her confidence.

I really like that every problem is worked out clearly. If I make a mistake, I can see where I went wrong and it helps me improve.

Mr. D Math Self-paced Online Curriculum includes:

* 12 chapters of video-based instruction (Mac and PC compatible)
* Coursework for each section of each chapter
* 12 chapter tests
* Two semester exams
* A comprehensive solution manual
* An online gradebook
* Enrollment in the Mr. D Math virtual learning center

Students who want guided instruction in addition to the Self-paced Online Curriculum can register for a full academic year of live Online Class Sessions via the Mr. D Math “virtual classroom” (August – May). Each class meets once a week, and there are several days/times to choose from.
The Mystery of History Online Academy

The Mystery of History 

The Mystery of History provides a historically accurate, Christ-centered approach to world history for all ages. In the online course, author Linda Lacour Hobar takes junior high and high school students through The Mystery of History Volume III: The Renaissance, Reformation, and Growth of Nations in two online class options: live and self-paced (recorded).

The Mystery of History Online Academy includes:

The Mystery of History Volume III Student Reader and Companion Guide in e-book format
* Recorded weekly videos of live classes led by Linda Lacour Hobar to view at your student’s convenience
* Automatic quiz grading
* One full year of learning (18 months of course access)

LIVE classes of The Mystery of History Online Academy with Linda Lacour Hobar begin on August 30, 2016. There are two options 10-11am CST or 2-3pm CST, both on Tuesdays.

Build Confidence and Success with Mr. D Math

I can not begin to tell you how much we LOVE Mr. D Math. It has made a world of difference to my daughter as she has begun to tackle the tough advanced algebra concepts.

I received access to these online math courses and I was compensated for my time in writing this post. All opinions are my own.
Confidence & Success with Mr D Math @EvaVarga.net

We had been using Life of Fred since she completed the elementary math concepts presented in Singapore Math. The self-directed approach has been very good for her and until recently, it has been all she has needed. She has begun to struggle with some of the concepts, however, and I have been unable to help her.

Now that we have discovered Mr. D Math, I am confidant that she can continue to work at her pace and find the support and guidance she needs to be successful.

Mr. D Math Algebra I and II

When we began the course material, I enrolled her in the Algebra II course presuming that this would be a good match for her based on the work she had previously completed. As she got underway with the live class after the holiday break however, we discovered that though some of the material was familiar to her, there were some concepts with which she struggled.

I was very pleased that Mr. D reached out to us after class and shared that she would be better suited for the Algebra 1 course. It was clear to me that he had spent time with her in the live session and was able to assess her skills. He was gentle and encouraging, explaining that it is more important to learn the material than to just move on.

We thereby made the switch to Algebra 1 the following week and she was much more comfortable. Jumping in mid-year, she was able to catch on immediately.

Confidence & Success with Mr D Math @EvaVarga.netBenefits of a Mr. D Math Online Course 

Mr. D Math offers two options for each of the online courses: 1) Online Curriculum + Live Classes, or 2) Online Curriculum only. The online classroom and lesson materials are easy to access and require very little preparation.

My daughter likes to print the course work each week and to work through the problems as she watches the corresponding video. Thereafter, she checks her work with the solutions guide. “I really like that every problem is worked out clearly. If I make a mistake, I can see where I went wrong and it helps me improve.”

She really enjoyed the weekly live class and felt it was a key component that she had been missing previously. She was able to ask questions – especially important when parents struggle with this level of math – and work through the trouble spots with guidance.

Most importantly, Mr. D has an excellent rapport with the students and learned their names very quickly. When students answer questions in the live class, only the teacher sees the student answers so there is no risk of a timid student feeling like others are watching her.

My daughter is able to maintain the same level of independence with her work as she has come to enjoy and her confidence is growing knowing that she can reach out to Mr. D if necessary. I highly recommend the online courses from Mr. D Math.

Mr. D Math Curricula 

I encourage you to check out all that Mr. D Math has to offer.  Classes range from Pre-Algebra up through Pre-Calculus, as well as SAT and ACT test prep courses.  Extra help sessions are available, as well as emailing questions to Mr. D throughout the week.  Take some time to browse the site to discover all the math and test preparation courses available.

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