Integrated Mathematics Sequence (HS)

Integrated Mathematics Sequence for High School Mathematics

Download Integrated Mathematics Information Sheet here

Curriculum
Integrated Mathematics has been in the NC SCS for Mathematics since the 1998 revision. The integrated mathematics courses should be treated as a package. The courses are listed as a group in the high school graduation requirements . A student who has had IM I and IM II should proceed to IM III. The three courses (as a package) are equivalent to the conventional courses (Algebra I, Geometry & Algebra II as a package).

The Integrated Mathematics I and II curriculum should not be used as a substitute for an Algebra IA, Algebra IB sequence. Integrated Mathematics is in the Standard Course of Study and should be taught with the objectives in the SCS.

End of Course Tests

Once the new assessment system is developed (expected in 2011-2012) the set of EOCs for the integrated mathematics sequence (IM I, II, III) will be similar to the set of EOCs for the conventional sequence (Algebra I, Geometry, Algebra II).

Up until this school year (2008-2009) the students in the integrated sequence took all 3 of the math EOCs (Algebra I after IMII; Geometry during IM III; and Algebra II at the end of IM III). However, the State Board of Education has granted a waiver for integrated mathematics students as we wait for a our new testing system to be developed (expected in 2011-2012), and integrated mathematics students during 2008-2009; 2009-2010, and 2010-2011 will not be required to take the Geometry EOC. This is an interim measure to allow for the new assessment system to be developed (expected in 2011-2012). Once the new assessment system is developed, the EOCs expected for the integrated sequence will be comparable to the EOCs expected for the conventional sequence.

Currently IM students take the Algebra I EOC after IM II and Algebra II EOC at the end of IM III.

Textbooks
The Textbook commission did not choose a book for Integrated Math I, II, III during the last mathematics textbook adoption; so, there is not a book on the state list at this time. The new adoption list for high school mathematics textbooks in NC is expected in October 2009. The next textbook list will have choices for Integrated Mathematics. The Integrated Mathematics I, II, III standards include all objectives in Algebra I, Geometry, Algebra II plus some topics in discrete mathematics and statistics. There are Integrated Mathematics textbooks available for purchase.

Integrated Mathematics
Course Codes and Sample Descriptions


2051 Integrated Mathematics I (IM I)

Note: The Integrated Algebra/Geometry sequence of courses is an investigative mathematics sequence that includes four major strands: algebra, geometry, statistics, and discrete mathematics. The first year the topics are dealt with on an introductory level and each successive year the topics are studied in more depth. IM I, II, and III include all of the objectives for Algebra I, Geometry, and Algebra II in the NC Standard Course of Study.

Integrated Mathematics I (IMI) provides students the opportunity to study the introduction of algebra, geometry, statistics, and discrete mathematics using a problem centered approach that emphasizes the connections between the four strands. Students who successfully complete IM I will take IM II the following year.

2052 Integrated Mathematics II (IM II)

Note: (See note for IM I.) All students in this class take the Algebra I End-of-Course Test.

This course provides students the opportunity to study matrices, systems of equations, coordinate and transformational geometry, least squares regression, linear models, power models, network optimization, introductory trigonometry with triangles and circles, and probability. The instruction features a problem-centered approach that emphasizes connections between algebra, geometry, statistics and discrete mathematics. Students who successfully complete IM II will take IM III the following year.

2053 Integrated Mathematics III (IM III)

Note: (See note for IM I.) All students in this class take Algebra II End-of-Course Test.

This course provides students the opportunity to study law of cosines and sines, linear programming, voting preferences and sampling techniques, advanced algebraic concepts (polynomial, exponential, periodic and rational expressions to model relations among quantitative variables), congruence of triangles, properties of parallelograms, inductive and deductive reasoning, normal distribution as a model of variation, statistical process control, and solving problems including recursive and sequential change. The instruction features a problem centered approach that emphasizes the connections between algebra, geometry, statistics and discrete mathematics. Students who successfully complete IM III may choose to continue their study of mathematics by taking IM IV, Pre-Calculus, or Advanced Functions and Modeling.

2054 Integrated Mathematics IV (IM IV)
This course provides the opportunity for students to study limits, rates of change, how area relates to integrals, permutations and combinations, mathematical induction, logarithmic functions, composite and inverse functions, periodic functions, vectors, linearizing data, polynomial and rational functions, complex numbers, binomial distributions, space geometry, informatics (the mathematics of databases and search engines, cryptography, error-correcting codes, data compression), problem solving, algorithms, and spreadsheets. The instruction features a problem centered approach that emphasizes the connections between algebra, geometry, statistics and discrete mathematics. Students who successfully complete IM IV may choose to continue their study of mathematics by taking AP Calculus AB or AP Calculus BC, and/ or AP Statistics. It is recommended that those students considering calculus should take Honors IM IV. The honors level of the course serves as a bridge between Honors IM III and AP Calculus and is designed for college-bound students who plan to major in math or a math-related field.