Ads
related to: high school math courses sequence diagram examplesI love the adaptive nature of the program - Amundsen House Of Chaos
- IXL Analytics
Get Real-Time Reports on Student
Progress & Weekly Email Updates.
- See the Research
Studies Consistently Show That
IXL Accelerates Student Learning.
- New to IXL?
300,000+ Parents Trust IXL.
Learn How to Get Started Today.
- Instructional Resources
Video tutorials, lessons, & more
to help students tackle new topics.
- IXL Analytics
Search results
Results from the WOW.Com Content Network
Integrated mathematics is the term used in the United States to describe the style of mathematics education which integrates many topics or strands of mathematics throughout each year of secondary school. Each math course in secondary school covers topics in algebra, geometry, trigonometry and functions. Nearly all countries throughout the ...
Number theory is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." Number theory also studies the natural, or whole, numbers.
As previously stated, American children usually follow a unique sequence of mathematics courses in secondary school (grades 6 to 12), learning one subject at a time. They take two years of Algebra punctuated by a year of Geometry. Geometry, hitherto a collegiate course, was introduced into high schools in the nineteenth century.
For instance, Leonia High School, which incorporated grades 8–12 (since there was no middle school then), called the program "Math X" for experimental, with individual courses called Math 8X, Math 9X, etc. [13] Hunter College High School used it as the basis for its Extended Honors Program; the school's description stated that the program ...
Designed in response to national reports pointing to the need for a major overhaul in mathematics education, [3] [4] [5] the IMP curriculum is markedly different in structure, content, and pedagogy from courses more typically found in the high school sequence.
For example, the sequence 2, 6, 18, 54, ... is a geometric progression with a common ratio of 3. Similarly 10, 5, 2.5, 1.25, ... is a geometric sequence with a common ratio of 1/2. Examples of a geometric sequence are powers r k of a fixed non-zero number r, such as 2 k and 3 k. The general form of a geometric sequence is
This follows from the naturality of the sequence produced by the snake lemma. If is a commutative diagram with exact rows, then the snake lemma can be applied twice, to the "front" and to the "back", yielding two long exact sequences; these are related by a commutative diagram of the form
The "Demystified" series is introductory in nature, for middle and high school students, favoring more in-depth coverage of introductory material at the expense of fewer topics. The "Easy Way" series is a middle ground: more rigorous and detailed than the "Demystified" books, but not as rigorous and terse as the Schaum's series.
Ads
related to: high school math courses sequence diagram examplesI love the adaptive nature of the program - Amundsen House Of Chaos