Integrated Math 1

This is the first course of an integrated and investigative mathematics curriculum which is designed to use patterns, modeling, and conjectures to build student understanding and competency in the subject matter. The course includes many mathematical disciplines: Topics that will extend students’ understanding of standards from the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability. Instructions will focus on seven critical areas: (1) extend understanding of numerical manipulation to algebraic manipulation; (2) synthesize understanding of function; (3) deepen and extend understanding of linear relationships; (4) apply linear models to data that exhibit a linear trend; (5) introduce quadratic patterns and its relationships (6) establish criteria for congruence based on rigid motions; and (7) apply the Pythagorean Theorem to the coordinate plane. Technology tools are an important part of student learning. By using technology students will collect and model data, be able to make conjectures about the data that would help to develop a robust understanding of the mathematical principles involved. Students are expected to learn through collaboration, collection of data, experimentation, and conjectures.

Learning Objectives: By the end of this class students should be able to:

• Make connections between arithmetic and algebra
• Use expressions and equations to solve word problems
• Graph equations including translations and interpreting slope
• Understand and use exponents
• Use functions including representations with graphs, tables, and equations
• Perform geometric constructions and learn geometry software
• Establish congruence of shapes using transformations
• Represent transformations in the coordinate plane
• Use data to analyze statistics and find “best fit” line
• Understand relationships between equations of line and their graphs, including finding intersections graphically and algebraically