### 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.