View curriculum for: | [Integrated Math 1] | [Integrated Math 2] | [Integrated Math 3] |
[IB Math Studies] | [IB Math 1] | [IB Math Methods 2] | [IB Higher Level Math 2] |
Jump to year 2000 syllabi: | [IB Math Studies] | [Math Methods Syllabus] | [Higher Level Math Syllabus] |
COURSE OVERVIEW
Integrated Math 2:
For tenth grade students this course represents the final year of preparation of the IGCSE core syllabus. These students will continue the following year with integrated math 3 and, as seniors, fulfill the IB group five requirements with IB math studies (standard level)
For ninth grade students this course represents the first year of preparation of the IGCSE extended syllabus. The students will continue the following year with integrated math 3 and will then be prepared to enter the IB program in IB math methods (standard level). In some cases an exceptional student may be recommended for honors integrated math 3 in the tenth grade.
Through investigations, group work, activities and direct instruction, students in this course will build on their knowledge of topics introduced in Integrated Math I and prepare IGCSE coursework. Students will move from making inductive conclusions to the use of deductive reasoning. This will be done through the study of coordinate geometry, logic and introductory topics in plane geometry. In addition, students in the course will study various variation models including direct, inverse, linear, exponential and quadratic, use of statistics including polling methods and sampling, algebraic applications of geometry and theoretical probability for compound events. Other specific topics will include matrix operations, transformations, and basic vectors.
Honors Integrated Math 2:
This course is designed for ninth grade students who show high ability in mathematics and possess a capability for making connections. It represents the first year of preparation of the IGCSE extended syllabus. These students are expected to complete their IB group five requirements with IB math higher level or, in some cases, IB math methods (standard level).
While the philosophy and teaching methods are similar, this course offers a more in depth study of the topics in Integrated Math 2. Students will be expected to exhibit higher level thinking skills in making connections between the topics as well as between the pure math and its applications. Less time will be spent in direct instruction and more in investigation. Treatment of certain subjects may be more rigorous than in the non-honors level course.
SKILLS OVERVIEW
Students will be able to:
(Note: Items in Italics are required only of Honors section)
CONTENT SUMMARY
Core Topics | Honors Topics |
Unit One | |
Samples and Sampling Methods, Surveys, Making Conclusions Inductively and Deductively, Critical Reading of Statistical Results, Proportions, Percent Error, Venn Diagrams | Data Trends |
Unit Two | |
Vocabulary of functions: Domain, Range, Increasing, Decreasing, Linear, Non-Linear, Constant; Models of Variation: Linear, Direct, Inverse, Direct with Powers, Doubling and Halving; Simplifying with Exponents including Integer and Rational Exponents, Surface Area and Volume of a Sphere; | Exponential Variation; Simplifying Radicals; |
Unit Three | |
Solving Linear Systems by Graphing, Substitution, Linear Combination and Matrix Methods, Graphing Systems of Linear Inequalities, Parallel and Perpendicular Lines, Dilations and Translations, Matrix Algebra; | Inverse of a 2x2 Matrix, Solution of 3x3 Systems Using Technology; |
Unit Four | |
Parabolas and Quadratic Equations, Solutions by Factoring, Graphing, Quadratic Formula and Undoing; Translations, Discriminant, Complex Numbers, Solving Quadratic Systems | Simplifying with Complex Numbers |
Unit Five | |
Classifying Quadrilaterals, Distance, Midpoint, Reflections over the axes, Rotations, Coordinate Methods including basic proofs | Rigorous Use of Coordinate Methods, Reflection of y = x and y = -x |
Unit Six | |
Counting, Permutations, Combinations, Probabilty, Odds, Compound Events, Independent and Dependent Events, Mutually Exclusive Events, Binomial Experiments, Pascal's Triangle, Binomial Theorem | Non-Mutually Exclusive Events, Combinations with Repeated Letters |
Unit Seven | |
Implications, And, Or, Not, Venn Diagrams, Valid Arguments, Biconditionals, Proof, Angle Relationships, Parallel Lines, Algebraic Postulates | Truth Tables, Euclidean System |
Unit Eight | |
Parallel Lines, Triangle Sum Theorem, Simlarity and Congruence of Triangles, Isosceles Triangle Theorem, SImilarity in Right Triangles, Geometric Means, Right Triangle Trigonometry, Emphasis on Applications | Greater Emphasis on Formal Proof |
Unit Nine (as time allows) | |
Figures in Space, Cross Sections, Nets, Locus, Review of Surface Area and Volume |
ASSESSMENT TECHNIQUES AND TEACHING METHODOLOGIES
KEY RESOURCES
ESL STRATEGIES/CONSIDERATIONS
FUTURE CHANGES/NEEDS
View curriculum for: | [Integrated Math 1] | [Integrated Math 2] | [Integrated Math 3] |
[IB Math Studies] | [IB Math 1] | [IB Math Methods 2] | [IB Higher Level Math 2] |
Jump to year 2000 syllabi: | [IB Math Studies] | [Math Methods Syllabus] | [Higher Level Math Syllabus] |