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Homeschool High School Math

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CALCULUS

 

 

JOHNS HOPKINS CENTER FOR TALENTED YOUTH (CTY)

Self-paced, online, interactive, computer-based courses. See tabs in the following links for more information:

AP Calculus AB: This course covers topics in single variable differential and integral calculus typically found in a first-year college Calculus I course.

This appears to be identical to Thinkwell's AP Calc, but for a lot more money (Thinkwell is $125 for 1 year, JH is $740 for 3 months, and up from that).

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Thanks for all the suggestions so far! I've tried to add everything possible but I know I am still missing out a few. Life has picked up again here and I am finding it hard to find extended time to sit down and update the posts but I will keep coming back whenever I can, especially to add to the beyond standard math post as it is something after my own heart.

 

It would really help me if you could follow this format when suggesting more resources for me to add to each math post (just copy and paste and fill in details):

 

NAME OF PROGRAM HYPERLINKED

Textbook: Name

Online Class? Yes or No. Any details if yes.

Where to buy: Name of store and hyperlinked to the product page if possible

Teacher Guide/Additional Materials: Yes or No. Any details if yes.

Sample (hyperlinked if available)     Discussion thread or review or anything else you think important.

 

And if anyone knows how to pin this thread (if you think it useful enough for pinning) please let me know.

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For integrated math:
 
 

NEM (New Elementary MathematicsSyllabus - Singapore)

Textbook: New Elementary Mathematics 1, 2, 3A, 3B, 4A, 4B (First 2 books are full year volumes, others are half-year). Workbooks for each level are also available. Integrates Algebra, Geometry, Statistics, and Trig topics. Designed for 7th - 10th grades. Program is on the more rigorous side.

Online Class?  Cybershala

Where to buy: Rainbow Resource, Singapore Math (Lvls 1 & 2 only), Amazon (used copies) 

Teacher Guide/Additional Materials: Yes. Teachers Manual for each level (with answers to only some problems). Solutions Manual for levels 1 and 2 with detailed solutions for all problems.

Scope/Sequence   Scope/Sequence (comparison with Dimensions/Disc. Math)   Sample Level 1 

 

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This appears to be identical to Thinkwell's AP Calc, but for a lot more money (Thinkwell is $125 for 1 year, JH is $740 for 3 months, and up from that).

 

JHU is charging more for the hand holding and grading by their instructor.

 

 

 

Students progress through the course at their own pace, reviewing any materials with their own CTYOnline instructor as needed. The student’s knowledge will be assessed through weekly homeworks, chapter tests and cumulative exams. Exams contain Free Response questions, hand graded by your CTYOnline instructor, based on the actual AP Calculus exam.

 

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I just found this thread (I'm late)-- thank you so much, quark, and everyone else who helped! Here is something outside the normal high school math sequence. I hope my formatting is ok.

 

Book of Proof

 

Textbook: http://www.people.vcu.edu/~rhammack/BookOfProof/

Online Class? No.

Where to buy: Free as a downloadable pdf on the above site.

Teacher Guide/Additional Materials: Solutions to odd problems are included in the textbook. Click this link for a sample syllabus from the author.  http://www.people.vcu.edu/~rhammack/math300/index.html

 

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I just found this thread (I'm late)-- thank you so much, quark, and everyone else who helped! Here is something outside the normal high school math sequence. I hope my formatting is ok.

 

Book of Proof

 

Textbook: http://www.people.vcu.edu/~rhammack/BookOfProof/

Online Class? No.

Where to buy: Free as a downloadable pdf on the above site.

Teacher Guide/Additional Materials: Solutions to odd problems are included in the textbook. Click this link for a sample syllabus from the author.  http://www.people.vcu.edu/~rhammack/math300/index.html

 

This looks wonderful. Thanks so much!

 

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You might actually want to link all of the AIMath textbooks -- http://aimath.org/textbooks/approved-textbooks/

 

The liberal arts math one would also give great enrichment units for a talented student who is more interested in the humanities or social sciences (for example, the units on voting theory look awesome), and there are free precalculus/calculus/linear algebra/statistics ebooks as well as more advanced topics.

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You might actually want to link all of the AIMath textbooks -- http://aimath.org/textbooks/approved-textbooks/

 

The liberal arts math one would also give great enrichment units for a talented student who is more interested in the humanities or social sciences (for example, the units on voting theory look awesome), and there are free precalculus/calculus/linear algebra/statistics ebooks as well as more advanced topics.

 

WOW! :drool: Thank you kiana! I think you have just answered what to do for math (because DS isn't fond of what the CC offers anymore).

 

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SOLOMONOVICH - EUCLIDEAN GEOMETRY: A FIRST COURSE

Textbook:  Euclidean Geometry: A First Course

Online Class? NO

Where to buy:  http://www.amazon.com/Euclidean-Geometry-Course-Mark-Solomonovich/dp/1440153485

Teacher Guide/Additional Materials: Yes; http://www.amazon.com/Instructors-Manual-Euclidean-Geometry-Course/dp/1450257852

 

I would add this to the geometry section. In the pre-AoPS days, Charon/Adrian and Myrtle thought it was as good or better than Kiselev. Hartshorne is Mathwonk's preferred text for interpreting Euclid and Hartshorne has a glowing recommendation on the back cover(viewable on Amazon). I like all sorts of older texts, but this one is rarely both in print and has an instructors manual. 

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CALCULUS

 

 

For rigor comparison

University of Michigan Calculus 1

http://dept.math.lsa.umich.edu/courses/115/

It is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields. The emphasis is on concepts and solving problems rather than theory and proof.

 

http://www.math.lsa.umich.edu/~kesmith/Math115.2014.html

"Math 115 is a first course in Calculus at the college level, which is different than high school calculus, even if you took an AP course. This is an extremely hard class, and the ``curve" is tough. You need to be very disciplined to get a good grade."

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Since I skimmed this thread without having sufficient coffee intake, I'll admit I might have missed if MEP was included in the integrated math listings. 

 

Many folks talk about it for K-8, but there is MEP for high school... GCSE course: http://www.cimt.plymouth.ac.uk/projects/mepres/allgcse/allgcse.htm  and A Levels: http://www.cimt.plymouth.ac.uk/projects/mepres/alevel/alevel.htm

 

Some people whom I know have used MEP for high school state that the GCSE course = 10th and 11th grades, and the A Levels course = 11th or 12th grades (depending on the student)  There is a MEP Year 9 labeled as such. http://www.cimt.plymouth.ac.uk/projects/mepres/book9/book9.htm

 

It is free for the printing :)

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Zoo Keeper, thank you! I had already included it in the integrated math materials! :thumbup: We loved MEP in the primary stages so it was the first integrated math program I thought of!

 

I don't know when I will be able to update the listings so maybe I will just leave it as is for people to scroll through the pages and read everything! Thanks so much to all who keep adding materials!

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These are free youtube video playlists for each high school math course. I learned about them when ds took AP Stats. We found them very helpful and they would make a great supplement for any high school math.

 

Professor RobBob:

 

 

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Another online option for Jurgensen is Memoria Press Online Classes: https://mpoacm.memoriapress.com/catalog?pagename=geometry

 

I don't know anything about their online classes, but their math appears to follow the Foerster, Jurgensen route. Since they have a home study package for Foerster for Algebra 1, it seems reasonable they will release one for Jurgensen eventually, too.

 

Also, because of the time, it could be do-able for "afterschoolers" on eastern time.

 

ETA: They are using a DIFFERENT Prentice Hall Classics. Not Foerster for Algebra 1. They do have Jurgensen for their geometry class.

Edited by elladarcy
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PRECALCULUS 

 

Title:  Discovery Precalculus: A Creative and Connected Approach 

Textbook: None

Note:  This is quite an advanced and challenging class. Incomplete in terms of problem sets, tests, etc.  Suggest For math scholars to take along with a regular Precalculus class.

Online Class? Yes

Where to buy: Free at EdX  from the University of Texas at Austin

   https://www.edx.org/course/discovery-precalculus-creative-connected-utaustinx-ut-prec-10-02x

Teacher Guide/Additional Materials:  none

 

 

 

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Sorry, I don't know how to hyperlink, but I added some information to the Arbor entry and added the edX Intro to Algebra class for inclusion in the Algebra 1 thread

 

 

ALGEBRA I

 

ARBOR ALGEBRA

Textbooks: Jousting Armadillos, Crocodiles and Coconuts, and Chuckles the Rocket Dog

Note: Volume 1 covers PreAlgebra and Volume 2 & 3 Cover Algebra 1

Online Class? No.

Where to buy: A+ Education Services or Rainbow Resources or from the publisher in the link above

Teacher Guide/Additional Materials: Answer Book and Tests available.

Samples: Click on each book icon here.

Here are some threads on it: thread 1, thread 2.

Note: Jousting Armadillos covers working with single variables. It assumes understanding of basic operations. It contains no geometry or statistics. So it is a beginning Algebra 1 or advanced PreAlgebra. The other two books cover the rest of Algebra 1 topics.

 

EdX INTRODUCTION TO ALGEBRA

Textbooks: none

Online Class? Yes, with certificate upon completion

Where to Buy; Free, sign up at https://www.edx.org/course/introduction-algebra-schoolyourself-algebrax

Teacher Guide/Additional Materials: None, all the materials are online

Notes: This is a 10-week self-paced course covering all Algebra 1 topics. Each lesson is presented via a digital whiteboard and is followed by a problem set. The lessons are interactive and the student chooses a unique path through the lesson depending on the amount of review and explanation they need. The problem set is adaptive and must be mastered for credit.  You can do more problems after you've mastered the topic. But you can pass a topic and move on without sufficient review for mastery, and there are no homework, tests, etc.  This is a fantastic teaching tool but you would want a student using other material for additional practice, testing, etc. 

 

 

-----------------------------------------------------------------------

MISCELLANEOUS ONLINE COURSES/ SUPPLEMENTS

 

KHAN ACADEMY: Free, online, interactive videos (you tube, blackboard style) with online discussion forum.

 

SCHOOL YOURSELF: Free, online, interactive instruction (interactive whiteboard style).

 

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GEOMETRY

 

 

 

EdX Introduction to Geometry

Textbook: None, all materials are online

Online Class? Yes, with certificate upon completion

Where to buy: Free.  Access online through EdX - https://www.edx.org/course/introduction-geometry-schoolyourself-geometryx

Teacher Guide/Additional Materials: None

Notes: This is a 14-week self-paced course covering all high school Geometry topics. Each lesson is presented via a digital whiteboard and is followed by a problem set. The lessons are interactive and the student chooses a unique path through the lesson depending on the amount of review and explanation they need. The problem set is adaptive and must be mastered for credit.  You can do more problems after you've mastered the topic. But you can pass a topic and move on without sufficient review for mastery, and there are no homework, tests, etc.  This is a fantastic teaching tool but you would want a student using other material for additional practice, testing, etc.  Great Pre-Geometry course for a middle grader on its own, or pair with a textbook for a full high school credit.

 

 

 

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Thanks to everyone who added info! Sorry I have been so behind on updating this thread. Hoping to have some time during end of the year holidays!

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ALGEBRA I

 

 

 

FOERSTER (and MATH WITHOUT BORDERS)

Textbook: Algebra I: Expressions, Equations and Applications by Paul Foerster.

Online Class? No.

Where to buy: 1994 edition here. 1999 edition here. 2006 edition here. (All are Amazon.com links). 2006 edition from Rainbow Resource.

Teacher Guide/Additional Materials: Home Study Companion (link includes product samples) from Math Without Borders, or Solutions Manual from Rainbow Resource.

Sample of 2006 ed. from Rainbow Resource        Maria Miller Review

 

 

FOERSTER (and KOLBE ACADEMY)

Textbook: Algebra I: Expressions, Equations and Applications by Paul Foerster.

Online Class? Yes. Kolbe Academy.

Where to buy: 1994 edition here. 1999 edition here. 2006 edition here. (All are Amazon.com links). 2006 edition from Rainbow Resource.

Teacher Guide/Additional Materials: Home Study Companion (link includes product samples) from Math Without Borders, or Solutions Manual from Rainbow Resource.

Sample of 2006 ed. from Rainbow Resource        Maria Miller Review

 

 

also using Foerster text for Algebra I and II:

http://homeschoolconnectionsonline.com/

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To add to the Precalculus category: I found this one lurking under the aimath link in the "math beyond high school" category. I needed to find a shorter yet challenging precalc textbook because my DD takes too long to finish an AOPS textbook, but will not tolerate anything that seemed to be "too easy." This one looks pretty good to her.


 


UNIVERSITY OF WASHINGTON MATH 120


Textbook: Precalculus by D.H. Collingwood, K.D. Prince and M. M. Conroy


Note: Focus on problem solving and multi-step problem solving and on preventing common problems that trip up UW calculus students.


Online Class? No


Where to buy: Free download. http://www.math.washington.edu/~m120/


Teacher Guide/Additional Materials: Answers, but not worked solutions, in the back of the book. Sample tests and quizzes at above website as well.


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Long discussion on rigorous Precalc books (including many classics).

 

http://giftedissues.davidsongifted.org/BB/ubbthreads.php/topics/157738/1.html

 

Thanks, Mark.  IMO the more recent discussion on "rigorous precalc books" on the WTM boards was much more informative.  Also, some points on the Davidson link's thread: as discussed on the WTM discussion, IMO Lial is no where near rigorous and someone in that discussion said the same about the Blitzer book.  I'd first go to the WTM discussion; if you're still dying for more on precalculus, give the Davidson link a read.

 

Edited by Brad S

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PRECALCULUS / TRIGONOMETRY

 

 

Another online option:

BYU Online

 

Part 1

http://is.byu.edu/site/courses/description.cfm?title=PRECALC-041-200

Part 2

http://is.byu.edu/site/courses/description.cfm?title=PRECALC-043-200

 

Currently uses an older edition of Demana

PRECALCULUS : GRAPHICAL, NUMERICAL, ALGEBRAIC 7E

 

self-paced - up to a year to complete each semester course.

No videos - but free tutoring is available

Assigned HW, quizzes and a proctored Final for each part is required.

 

I tutored someone taking this course and it seems quite complete and thorough.

Price for each course is reasonable.

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PRECALCULUS / TRIGONOMETRY

 

Mini-review

 

Textbook: Thinkwell Precalculus  Edward B. Burger isbn 978-1-60538-079-7

 

I borrowed a copy from a friend.

 

Thinkwell Precalculus 

Edward B. Burger

isbn 978-1-60538-079-7

https://www.amazon.com/Precalculus-Edward-B-Burger/dp/1605380792

 

 

Table of Contents

P.   Basic Algebra Review

1.   Functions and their Graphs

2.   Polynomial Functions

3.   Rational Functions and Conics

4.   Exponential and Logarithmic Functions

5.   Trigonometric Functions

6.   Analytic Trigonometry

7.   Applications of Trigonometry

8.   Systems of Equations and Inequalities

9.   Matrices and Determinants

10. Analytic Geometry

11. Sequences, Series and Probability

 

 900 pages

 

This text book has many lucid example problems as explained by Burger similar to his videos. It is best for learn by example strudents (which is probably a majority of students). It takes a "Just the Facts Ma'am" approach with little historical background or derivation of the concepts. It covers some advanced topics such as Partial Fractions and Mathematical Induction.  It covers Vectors but does not delve into three dimensional vectors. It does not cover Limits but this is covered in AP Calculus AB so not a real ding.  It is a good text book.

 

It contains lots of problems/exercises with some more challenging ones called extensions.  It has answers for the odd problems and all the answers for each chapter review problem set. The text is quite complete and could be used standalone or along with the formal Thinkwell course.  Since Thinkwell courses are only streamed these days, I would purchase this text used (currently in $20-25 range) for future reference.

 

IMHO It is not suitable for a future Math major and somewhat marginal for a future Engineer or Physics major.

 

Some other notes:

For the general exponential function Thinkwell uses y = bversus  y = abx   or  f(x) = abx

Some Algebra 2 books introduce and use it this way. I prefer the second form for Precalc.

 

Thinkwell text does not derive or otherwise demonstrate with data where the compound interest formula comes from with respect to the simple interest formula versus the Sullivan text or Demana texts.

 

 

=======================

 

 

related to:

 

THINKWELL Homeschool Version

Textbook:All course materials are online via recorded lectures, notes, automatically-graded quizzes and tests. Subscription is for a period of 12 months.

Note: Thinkwell's Precalculus combines the course materials from Algebra 2 with Trigonometry.

Online Class? Not live but instructor support is available via Johns Hopkins Center For Talented Youth. Prerequisites and other details here and here.

Where to buy: From Thinkwell. Check Homeschool Buyers Co-op for periodic Group Buy savings (sometimes 50% off!).

Teacher Guide/Additional Materials: Quizzes and tests are automatically graded with correct solutions supplied. The homeschool version provides lesson plans.

 

 

 

 

Edited by MarkT
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AOPS- I'm using this textbook for Algebra I but I wanted to know what to assign as a daily lesson for my son . How much is he expected to complete each day from the textbook.

Thanks

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AOPS- I'm using this textbook for Algebra I but I wanted to know what to assign as a daily lesson for my son . How much is he expected to complete each day from the textbook.

Thanks

This thread is to compile available resources so you probably willnot get replies here. Do start a new thread for specific responses to AoPS Algebra. When my son used it, we set aside about an hour 3x a week (he only used it as a supplement) vs assigning sections a day. That way he could work on as much as he was able to each time. Good luck!

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PRECALCULUS / TRIGONOMETRY

 

 

 

FOERSTER (and MATH WITHOUT BORDERS)

Textbook: Precalculus with Trigonometry 3rd edition (ISBN: 9781465212139), or 2nd edition (ISBN: 9781559537889) but videos might be less conveniently matched with the latter edition.

Online Class? No.

Where to buy: Amazon (3rd edition). Kendall Hunt.

Teacher Guide/Additional Materials: Home Study Companion (link includes product samples) from Math Without Borders.

 

 

FOERSTER (and KOLBE ACADEMY)

Textbook: Precalculus with Trigonometry (2012 copyright, and therefore, might be 3rd edition. Please check with Kolbe Academy.)

Online Class? Yes. Kolbe Academy (regular) and Kolbe Academy (honors).

Where to buy: Amazon (3rd edition). Kendall Hunt.

Teacher Guide/Additional Materials: Home Study Companion (link includes product samples) from Math Without Borders.

 

 

Foerster 3rd Teacher editions sampler:

http://math.kendallhunt.com/documents/ALookInside/Precalculus/FPC3_C6_TE.pdf

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MEMORIA PRESS ALGEBRA I

Textbook: Prentice Hall Classics by Smith, etc

Online Class? Yes

Where to buy: From Memoria Press and Rainbow Resource.

Teacher Guide/Additional Materials: Yes. MP has lesson plans and a Quizzes and Tests book. Teachers edition and solutions guides may be available in the second hand marketplace.

 

 

Video streaming to accompany text becoming available to purchase this fall. Sample here: https://www.memoriapress.com/algebra-videos/

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Another online option:

BYU Online

 

Part 1

http://is.byu.edu/site/courses/description.cfm?title=PRECALC-041-200

Part 2

http://is.byu.edu/site/courses/description.cfm?title=PRECALC-043-200

 

Currently uses an older edition of Demana

PRECALCULUS : GRAPHICAL, NUMERICAL, ALGEBRAIC 7E

 

self-paced - up to a year to complete each semester course.

No videos - but free tutoring is available

Assigned HW, quizzes and a proctored Final for each part is required.

 

I tutored someone taking this course and it seems quite complete and thorough.

Price for each course is reasonable.

 

Have you looked at any other BYU math courses? We're considering their Geometry, but not finding any reviews.

 

Thanks!

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The Brown book will no longer be used in Wilson Hill's Pre Calc class after this semester. They have chosen a new text which is listed on their site. Just FYI.

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Algebra 2 with Dr. Callahan, anyone?  He uses a text by Barnett, et al, for College Algebra with Trigonometry from McGraw Hill, which is free online.  I'm looking for something to beef up algebra 2 as dd comes to the last 3 chapters of Lial's Intermediate Algebra.   I would just do a review of chap. 3-5, then dig into chap. 6-8 for the trigonometry.  What do you think? 

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Yay Math! Flipped Classroom Geometry

Textbook: Glencoe Geometry (optional- not sure of the edition). Scope and sequence looks like it would line up with a lot of PS textbooks. Separate section on writing proofs.

Online Class? Free online videos with fill-in-the-blank class note worksheets and email-able follow up quizzes

Teacher Guide/Additional Materials: Yes. Available for $36 as a download, including student homework pages and solutions.

Flipped classroom information is here: http://www.yaymath.org/flippedblended-geometry

Free videos/ class note worksheets/ online quizzes: http://www.yaymath.org/geometry-lines-angles

 

Algebra 2 should be ready for fall.

 

Edited by elladarcy
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