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Course Description
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Integrated Math 2
Second course in a three course sequence which focuses on quadratic expressions, equations, functions, geometry, statistics and probability.
Essential Learning Outcomes (ELOs):
Key concepts addressed in this course are:
- Representations of linear, quadratic, and exponential relationships using graphs, tables, equations, and
contexts. - Symbolic manipulation of expressions in order to solve problems, such as factoring, distributing, multiplying
polynomials, expanding exponential expressions, etc. - Analysis of the slope of a line multiple ways, including graphically, numerically, contextually (as a rate of
change), and algebraically. - Solving equations and inequalities using a variety of strategies, including rewriting (such as factoring,
distributing, or completing the square), undoing (such as extracting the square root or subtracting a term from
both sides of an equation), and looking inside (such as determining the possible values of the argument of an
absolute value expression). - Solving systems of two equations and inequalities with two variables using a variety of strategies, both
graphically and algebraically. - Use of rigid transformations (reflection, rotation, translation) and symmetry to demonstrate congruence and
develop triangle congruence theorems. - Using coordinates to prove geometric theorems.
- Geometric constructions (with compass and straightedge).
- Simple geometric proofs (investigate patterns to make conjectures, and formally prove them).
- Representations of arithmetic and geometric sequences, including using tables, graphs, and explicit orrecursive formulas.
- Use of exponential models to solve problems, and to compare to linear models.
- Use of function notation.
- Statistical analysis of two-variable data, including determining regression lines, correlation coefficients, andcreating residual plots.
- The differences between association and causation, and interpretation of correlation in context.
- Comparison of distributions of one-variable data.
Course Syllabus
- Buck Davis bdavis@njuhsd.com 530.273.4431