Lesson 4 of this unit develops student ability to solve linear equations by applying the field properties and to solve quadratic equations and inequalities by factoring, by using the quadratic formula, and by using technology. Students also learn how to identify whether a quadratic function has 0, 1, or 2 zeroes and how to determine the axis of symmetry and the distance between the zeroes for a quadratic function.
Throughout the curriculum, interesting problem contexts serve as the foundation for instruction. As lessons unfold around these problem situations, classroom instruction tends to follow a common pattern as elaborated under Instructional Design.
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In Course 3, students will study one additional algebra and functions unit, Families of Functions. This unit reviews and extends student understanding of the basic function families and develops student ability to adjust function rules to match patterns in tables, graphs, and problem conditions
Four units in Course 4 extend student understanding of algebra and function concepts in preparation for post-secondary education. Students develop understanding of the fundamental concepts underlying calculus, of inverse functions, and of logarithmic functions and their use in modeling and analyzing problem situations. Students also extend their ability to use polynomial and rational functions to solve problems and to manipulate symbolic representations of exponential, logarithmic, and trigonometric functions.
A unit that develops understanding and skill in the use of standard spreadsheet operations while reviewing and extending many of the basic algebra topics from Courses 1-3 is included for students intending to pursue programs in social, management, and some of the health sciences or humanities.
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