Jump to content

Menu

Recommended Posts

Hi!

 

I'm not very up on the levels of math that various books covers. :glare: So I'm trying to learn. We're planning next year's math course and when we are done, I'm not sure what or where we will be in math.

 

Here's what's on the plate (we school from July to June)

finishing up jacob's geometry, Dolciani Algebra structure and method 1 - might run us until sept/Oct just depends on where we finish in the next two months

 

starting in sept New Elementary Math 2

 

Starting Dolciani Algebra and trig structure Method book 2

 

When we finish, I can say we have completed __________ level of math?

 

I just don't know where that puts us or where I go from there.

 

Thanks

Link to post
Share on other sites

From what others have said, these are the general math subject "match-ups" with NEM:

NEM 1 = pre-Algebra, Algebra I, a little Geometry

NEM 2 = Algebra I, most of Geometry

NEM 3 = Algebra II, Trig/Advanced math

 

For specifics of what topics are covered in each general math subject check out the course of study guidelines at the Worldbook Encyclopedia online

Grade 9

Grade 10

Grade 11

Grade 12

 

Below are the specifics usually covered in each of Algebra 1, Algebra 2, Geometry, and Trigonometry. BEST of luck! Warmly, Lori D.

 

Algebra 1

* Absolute value

* Sets and their relationships

* Properties of polynomial forms

* Equations

* Signed numbers

* Fundamental operations

* Equations of the first degree

* Ratio, proportion, variation

* Relations and functions

* Special products and factoring

* Fractions and fractional equations

* Square roots

* Radicals

* Quadratic equations

* Elements of probability

 

Geometry

* Origins and uses of geometry

* Terms, postulates, theorems

* Sets

* Nature of proof

* Inductive and deductive reasoning

* Ratio and proportion

* Algebra in geometry

* Angle relationships

* Parallel and perpendicular lines

* Congruent triangles

* Right triangles

* Pythagorean Theorem

* Circles

* Polygons

* Relationships between circles and polygons

* Mensuration theory

* Measurement of geometric figures

* Simple constructions

* Loci

* Transformational geometry

* Introduction of symbolic logic

* Coordinate geometry

* Trigonometric functions of angles greater than 90 degrees

* Special angle relationships

* Problem solving with geometry

 

Algebra II

* Relations and functions

* Square roots, surds, radicals

* Rational roots

* Linear equations and analytic geometry

* Quadratic equations

* Binomial theorem

* Imaginary numbers

* Exponents and radicals

* Logarithms

* Progressions

* Higher-degree equations

* Vectors

* Determinants

* Permutations, combinations, and simple probability

* Estimation and approximation

 

Trigonometry

* Solutions of right triangles

* Use of table and interpolation

* Measurement of angles

* Properties of trigonometric functions

* Complex numbers and vectors

* Concept of a limit

* Graphs of functions

* Solutions of oblique triangles

* Logarithms

* Identities and equations

* General triangle solutions

Link to post
Share on other sites

Thanks! I'm going to print that out and cross reference in Tracker. Thank God for that program. I won't have to repeat this madness for the other 3. Just pull it back up and tweak it for them. My brain is fried from planning and I didn't think about the world book resource.

 

And here's a silly

What's advanced algebra? It's listed under Grade 12 along with Calculus and Stats. I've just never heard of a math course called advanced algebra.

Edited by servin
Link to post
Share on other sites

Just found a more specific breakdown/match-up of NEM levels and standard U.S. math subjects (PM = Primary Singapore):

 

Pre-algebra = PM 6 and NEM 1, Ch. 1-4

Algebra I: NEM 1, Ch. 5-8; NEM 2, Ch. 1-7, 12-14

Geometry: NEM 1, Ch. 9-14, NEM 2, Ch. 8-11

Algebra II: NEM 3, Ch. 1-6, 14; some of NEM 4

Advanced Math/Trig: NEM 3: ch. 7-13, NEM 4, ch. 1-4 (precalculus)

 

 

 

... I didn't think about the world book resource.

 

I don't always remember it, either. ;) While I certainly don't try to cover everything listed in the World Book list, I do find it handy to refer to, especially when I'm trying to create our own course of study in, say, social studies. :)

 

 

 

What's advanced algebra? It's listed under Grade 12 along with Calculus and Stats.

 

I'm *guessing* that might refer to topics in a Pre-Calculus class. We won't be going that far in our math studies, so I don't have a Pre-Calc. textbook table of contents to which I can compare the list of topics in the World Book list.

 

Cheers! Lori D.

Link to post
Share on other sites
IIRC the Dolciani Structure and Method book 1 is Algebra I, book 2 would be considered Algebra II.

 

SO book 2 isn't a trig course? Would we need to do a separate trig course:001_huh: I vaguely remember wasting an entire year of high school on trig but with those texts would it be needed? I kinda thought it was rolled in there somehow.

 

Thanks

Link to post
Share on other sites
SO book 2 isn't a trig course? Would we need to do a separate trig course:001_huh: I vaguely remember wasting an entire year of high school on trig but with those texts would it be needed? I kinda thought it was rolled in there somehow.

 

Thanks

 

I'm not sure how that all works, we're not quite there yet. What year are your Dolciani books?

Link to post
Share on other sites
SO book 2 isn't a trig course? Would we need to do a separate trig course:001_huh:

 

If it's old enough, it will have some trig in it. Back in the day, we went from Alg II/Trig straight into calculus. Ds had problems with that, however, so I've acquired a pre-calculus book to go in between for the next two.

Link to post
Share on other sites

from the early 80's . We also are doing the NEM series by singapore. I sorta thought by the time we finish that program and with the Dolciani texts, we will move into pre cal or cal??

 

The long term goal is

8th grade NEM 2/ Dolciani Alg 2

 

9th grade NEM 3 and NEM 4

 

10th grade calculus

 

11 th/12th grade whatever strikes his fancy or dual enrollment

 

OR

 

9th grade NEM 3/some yet to be discovered Trig book -I have two college books upstairs but haven't looked at them

 

10th grade NEM 4/some Calculus book - have precal and cal college books

 

Then 11th and 12th he can either dual enroll at the local u and start University Math or take whatever strikes his interst in math - Physics, stats, prob.....

 

But that was all based on the thought that trig and pre cal was all rolled into the main course and then he would just be reviewing concepts while I could document a solid book devoted to one math and not integrated like NEM.

Link to post
Share on other sites

Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.

Guest
Reply to this topic...

×   Pasted as rich text.   Paste as plain text instead

  Only 75 emoji are allowed.

×   Your link has been automatically embedded.   Display as a link instead

×   Your previous content has been restored.   Clear editor

×   You cannot paste images directly. Upload or insert images from URL.

×
×
  • Create New...