Pages

Showing posts with label Math. Show all posts
Showing posts with label Math. Show all posts

Tuesday, August 28, 2012

What We're Doing for Middle School This Year

Dear friends,

A couple of days ago, I wrote a post on www.startwellhomeschool.blogspot.com about What We're Doing for Elementary School This Year.  We're also home schooling two middle school students: a son in 8th grade and a daughter in 6th grade.  My son has always been home schooled, while my daughter attended a public elementary school for the last four months of the last school year.

Our family is continuing with the home school co-op that we've been in for several years with the exception of one year we just home schooled - at home.

Here is a run down of what we're doing in and out of co-op.

My daughter is taking 6th grade math, with only one other student in her class. They are using the McDougal Littell text, along with a student notebook volume. 


For science and history, she is in mixed level classes with 4th-6th grade students.  

Flying Creatures of the Fifth Day: Exploring Creation with Zoology 1  -     
        By: Jeannie Fulbright
    
The science class is using the Apologia text about flying creatures, which is mainly birds and insects but includes bats and other airborne creatures as well.  They are doing lots of hands-on activities and creating a Charlotte Mason style notebook of all they are learning.




 

The Mystery Of History, Volume 2: The Early Church and  the Middle Ages  -     
        By: Linda Lacour Hobar
    
The history class is using Mystery of History Volume 2 by Linda Hobar. It covers the time period from the early church up through the Middle Ages. Each day they read a lesson, make note cards with the important facts, do an activity (such as mapping or a short report) and add a figure to their time line.


The Book of Virtues   -     
        By: William J. Bennett
    
I teach my daughter's English class, which is 5th-6th grades. I chose to integrate the literature and writing assignments with their history topics, so if they are studying about Genghis Khan in history, we'll read a legend about him for English. The easiest way to accomplish this is to use The Book of Virtues as our main literature resource. 





We are also reading through the book of Acts in the Bible and C.S. Lewis's The Lion, The Witch and theWardrobe. I have been writing my own study guide for that.  For the last class, I brought in some Turkish Delight candy since Edmund eats this while being lured by the evil White Witch in the third chapter.  The first two chapters featured the Professor's huge country mansion and the Faun's small cave, so I assigned the following for creative writing: “Imagine that you could design a dream house that reflects your own interests. It can be as large or as small as you want. Where will it be? What will it look like on the outside? Describe each room in your house. What will they be used for? What will they contain? Draw a floor plan if you would like.” and “Yesterday you wrote about a big house you would like to live in. Today, you are going to write about a small one. If you had an entire home to live in by yourself that was as small as Tumnus's cave room, what would it be like? Make a list of what would you need to live in your home and a few extra things that you would want. What are some practical ways you could “make do” in such a small space?” I know my students (6 girls and 1 boy) enjoying this project immensely and we had a lot of fun when they read their house descriptions in class. I mentioned that they might want to download the free version of the Sketchup 3-D drawing program to design their houses, and some of them have been doing that, too.  In the spring, we will also read the book The Door in the Wall by Marguerite DeAngeliUsually I would assign more novels, but since we have a lot of stories from The Book of Virtues and the co-op leaders asked me to focus more on writing this year (a current need), I limited it to just those two.

 
Spectrum Language Arts, 2007 Edition, Grade 6   - Spectrum Phonics, 2007 Edition, Grade 6   - Besides the reading and writing, they are also doing two workbooks from Spectrum: Language Arts 6 and Word Study and Phonics 6.  My classroom assistant, another mom in our co-op, has been helping a lot with the grammar lessons in the Language Arts workbook.  She is very enthusiastic about this, and has even set some grammar facts, such as the list of indefinite pronouns, to hymn tunes.  Speaking of that, we're also going to try to tuck in a little music sight reading skills along the way. Singing is a form of communication, isn't it?






In addition to her co-op classes, my daughter is doing some reading on her own. One of her older sisters convinced her to start Little Women by Louisa May Alcott, which has been a good pick for her.

Dangerous JourneyMy 8th grade son is using the McDougal Littell Pre-Algebra text for math. For history, he and the other 7th-8th graders are doing A Beka America, Land I Love. Like many of the other 8th graders in co-op, he is taking Apologia Biology for high school credit, since that follows last year's General Science course pretty nicely. His English class is using the BJU Press Writing & Grammar workbook, as well as a variety of literature. Their first book is The Dangerous Journey, an adaptation of Pilgrim's Progress. They will also be reading The Witch of Blackbird Pond, The Light In The Forest, Sounder, and From the Mixed-up Files of Mrs. Basil E. Frankweiler.

 
My husband is responsible for helping my son with his math and science, as well as grading assignments for both of those classes. I am very grateful. He does this for our high school son's math and science, too.

Handbook of Nature Study   -     
        By: Anna Botsford Comstock
    
In addition to his co-op classes, my son likes to draw, take pictures of nature (especially birds, especially after taking the same Apologia flying creatures class this his sister is in now), make videos, and read a wide variety of non-fiction. My sister sent a big box of books this week and he immediately claimed a biography of Thomas Edison, a drawing book, and Anna Botsford Comstock's massive Handbook of Nature Study, which was orginally published a century ago.

Our family also has a Fun Pass to Sea World, thanks to help from my mom.  If you pay for a single day ticket, they give you the rest of the year free!  That's a lot of marine science field trips.



So that's what we're doing for middle school this year!

Virginia Knowles


Friday, May 14, 2010

The Mystery of Math

THE MYSTERY OF MATH


One thing that I like about math is that it is so orderly! If you stick with it, things compute. They stay constant and objective. At the same time, math is a marvelous mystery. There is always something new and thrilling to discover. The patterns can be awe inspiring and even beautiful. In so many ways, I can see the hand of a Master Designer (our Gracious Creator) in math. Who else could invent all of the intricacies of geometry or the sense of justice found in algebraic equations?

I have had a load of fun computing the sums of digits in multiplication facts. I know this is a bit complicated, but stick with me for a minute. Take a piece of paper, and write the numbers 1 to 20 down the side. In the next column, write the sums of the digits of each number.

For example, the digit sum of 11 is 2, the digit sum of 12 is 3, etc. If you get a sum over 9, add the two digits of that number. For example, the intermediate digit sum of 59 is 14, and adding 1 and 4, the final sum is 5.

The pattern for multiples of 1 thus goes like this: 1, 2, 3, 4, 5, 7, 8, 9, 1, 2, 3, 4, 5, 6, 7, 8, 9... until infinity.

Now, in another column, write the multiples of 2 up to 40, and the corresponding digit sums. The new pattern will be 2, 4, 6, 8, 3, 5, 7, 9, 2, 4, 6, 8, 3, 5, 7, 9.... (Even numbers in ascending order, then odd numbers in ascending order.)

Now do the multiples and digit sums for other numbers.

The digit sums for multiples of 3 will be 3, 6, 9, 3, 6, 9, 3, 6, 9, 3, 6, 9.... (Every multiple of 3 has a sum of digits as a multiple of 3 also. That’s a quick way to see if a number is divisible by 3.)

The digit sums of multiples of 4 will be 4, 8, 3, 7, 2, 6, 1, 5, 9, 4, 8, 3, 7, 2, 6.... (Every other number is decreased by one. Add 4, subtract 5, add 4, subtract 5, etc.)

The digit sums of multiples of 5 are 5, 1, 6, 2, 7, 3, 8, 4, 9.... (Every other number is increased by one. Subtract 4, add 5, subtract 4, add 5. Compare this with the 4s.)

The digit sums of multiples of 6 are 6, 3, 9, 6, 3, 9.... (Compare this with the digit sums for 3.)

For seven, the digit sums are 7, 5, 3, 1, 8, 6, 4, 2.... (Odd numbers is descending order, even numbers is descending order.)

For eight, the digit sums are 8, 7, 6, 5, 4, 3, 2, 1, 9... (Numbers in descending order.)

For nine, all digit sums are 9!

If you summarize the results, you find pairs of corresponding number patterns.

1: numbers in ascending order
8: numbers in descending order

2: even numbers is ascending order, odd numbers is ascending order
7: odd numbers is descending order, even numbers is descending order

3: multiples of 3 in ascending order
6: multiples of 3 in descending order

4: +4, -5, +4, -5...
5: +5, -4, +5, -4...

9 is unique, in that all digit sums are equal to 9. (Another quick way to verify your multiplication answers!)

Now, to go a bit further: If you do multiples of 10, 11, etc. you will find that the same patterns repeat. The digit sums for multiples of 10 are the same as for 1, 11 is the same as 2, 12 is the same as 3, etc. This happens in intervals of 9, so the digit sums for multiples of 5 are the same as for multiples of 14, 23, 32, etc.

Are you thoroughly confused yet? Try it again.  Middle school students might be able to understand this.  Dr. Ruth Beechick mentions it in her book You Can Teach Your Child Successfully, Grades 4-8! (This is an excellent book.)
 
I wrote this article about 10 years ago in my Hope Chest e-magazine.  I've had fun tonight browsing through my archives of old issues on the computer!

Wednesday, August 19, 2009

What We Are Using for 7th-8th Grade Curriculum

Our family belongs to the Providence Home Educators co-op, which has been a huge blessing to us for the past three years. One of the benefits is that I only need to plan lessons for 78th-8th grade English, and not all of the other subjects and grades. That's a trade-off, of course, because that means I have a less control over what curriculum my children will be using all year long. Fortunately, we've been pretty much pleased with what the other teachers have picked for their classes. This is what our 7th and 8th graders are doing this year. Please note that for history and English, these two grade levels are in the same classes. They are in separate math classes, and can choose science classes based on what is being offered that year.

Please note that the web links I have provided here are mostly for Christian Book Distributors. You can see the book cover, table of contents, and sample chapters at this web site. However, you may also wish to check http://www.rainbowresource.com/ which often has lower prices.

Science: Apologia General Science and Apologia Physical Science by Dr. Jay Wile, who is a gift to the home school movement. I love Apologia! This is what I have always chosen for elementary school (Flying Creatures, Underwater Animals, Astronomy, Botany) , middle school and high school science (Biology, Chemistry and The Human Body), co-op or not. They are specifically written for home school use, but there is nothing amateurish about them. Click here to see the entire Apologia line-up at CBD, including lab kits, CD-ROM's, etc.

Math: McDougal Littell 2007. Course 1 is for 6th grade, Course 2 for 7th, and Pre-Algebra for 8th. We also order the solutions manuals. You can find very helpful on-line, interactive student activities at http://www.classzone.com/. I have mixed feelings about McDougal Littell. Generally, I like it, but it can be frustrating at times for certain students. It is very colorful and covers the material well. Just don't assign every problem of a lesson or it will take forever!

History: A Beka text books provide structure, ready-made assignments, built-in assessment, and complete material. I like this, even though it can get a little dry all by itself. Adding hands-on projects can really spice it up. You can also read corresponding historical fiction and biographies to round out your program. We alternate back and forth between World History and American History. This year it is World. Sometimes we do the Geography program in conjunction with the History.

English: Mwah, ha, ha! This is MY domain! English is a little less cut-and-dried than the other subjects because we need to cover grammar, literature, writing, and other skills. I am also prefer a more "Charlotte Mason approach" -- learning English with whole, living literature. I want to talk about big ideas and themes, and how we can apply them to our lives! But I also want to make this manageable to my students and their parents.

I am breaking up English into its various components here:

Grammar: I've tried various grammar curriculum (Cozy Grammar, Easy Grammar, and BJU), without much satisfaction. I think I've hit on something good this year. All-in-One English by Garlic Press is basically a review of foundational grammar. This is necessary because some of the students aren't really proficient in this yet. The lessons are uncomplicated. The answer key is in the back. It's not a huge hunking book, which cuts down on the intimidation factor, but it is substantial enough to cover the necessary stuff. I assign an average of two pages per day.

Literature: I choose literature that roughly corresponds to whatever they are learning in the history class, so this year it is world literature, starting with the ancient times and moving toward the modern. We're starting off the year with several weeks of "Bible as Literature" including the Life of Joseph in Genesis, Psalms, Proverbs, and either Esther or Daniel. Then we will read the novel The Bronze Bow by Elizabeth George Speare, which is set in the time of Christ. I wrote my own study guide for this which includes comprehension and life application questions. I'll try to post it here soon. After that, we will do a unit on The Song of Roland using a few lessons from Medieval Legends (Imitation in Writing series) by Matt Whitling. The two weeks before Christmas, we will do a unit on the life of Christ which includes art, music, poetry, literature, and creative writing. You can find last year's unit here: Advent Assignments. In the spring semester, we will do the Scott O'Dells' novel The Hawk That Dares Not Hunt by Day, an adventure about Bible smuggling during the Reformation era. I have also written the study guide for this. Each student will also read a biography from the Heroes of the Faith series. I have a huge collection of these that I am going to loan out. We will also do an Easter unit with a similar format to our Christmas one.

Writing: Our writing assignments often correspond with the literature we are reading. We are going to do at least one major creative story writing project based on Proverbs, a medieval legend, a Christmas poem, a news article, a personal narrative, a biographical sketch, and some devotional writing. I will emphasize using descriptive language, organizing ideas, and revising/editing.

Other: In the fall semester, we are doing what I call "Learning English with Greek and Latin" (LEGAL for short). It is spelling and vocabulary with English words derived from Greek and Latin roots. I am developing this loosely based on the English from the Roots Up by Joegil Lundquist. In the spring, we will do the Young Peacemakers curriculum on Christian conflict prevention and resolution. This is a vital communications skill!

That's all, folks!

Blessings,
Virginia Knowles
Related Posts with Thumbnails