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In 8th grade, students analyze, create and represent linear and simple non-linear functions in multiple ways to make connections between them, including mathematical concepts related to bivariate data and Pythagorean Theorem, and “real-world” situations like those arising from two & three dimensional space.
Developmental Notes
8.F.2 & 8.F.3 Define, Evaluate & Compare Functions (Target E)
8.F.2 & 8.F.3 Define, Evaluate & Compare Functions (Target E)
Notes
This is an introductory unit on functions and function notation. Non-linear functions act as a contrast to linear & expose students to the 3 types of growth examined in Algebra 1. For example, students might graph the total units of the perimeter of a square, the area of a square & the volume of a cube (of the same side length) versus their side lengths on a single coordinate plane - y =4x, y =x^2 & y = x^3. Comparing y =2x to y =x^2 & y =2^x is another alternative.
Frequently Asked Questions
Is this more of the same from Unit 5?
This unit covers Target E directly and reengages part of Target F from the previous unit. Specifically, 8.F.4 which is highlighted in purple the color of the previous unit. The team wanted to be sure that students were set up for long term success in future courses, and the team recognized that the topic of functions & non-linear functions was essential for students to master prior to moving to the next course of Algebra 1 in high school. The team also felt as though this unit could be a natural extension of students’ prior learning from the earlier units. The essential learning team believed strongly that this unit would provide opportunities for teachers to provide just in time, sequential intervention if it was needed from the previous unit.
What is the difference between Unit 5 & Unit 6?
Unit 5 dealt specifically with graphing linear equations. Unit 6 is a chance to focus on functions and graph both linear and non-linear equations.
What about non-linear functions?
Non-linear functions act as a contrast to linear & expose students to the 3 types of growth examined in Algebra 1. For example, students might graph the total units of the perimeter of a square, the area of a square & the volume of a cube (of the same side length) versus their side lengths on a single coordinate plane - y =4x, y =x^2 & y = x^3. Comparing y =2x to y =x^2 & y =2^x is another alternative.
For information on what is required in this unit, check out the assessment tab!
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