Unit 3: Equations and Expressions
Overview: In this unit, students develop an understanding of the concept of a function as a rule that assigns to each input exactly one output. They understand that functions describe situations where one quantity determines another. Students learn to translate among representations and partial representations of functions (noting that tabular and graphical representations may be partial representations), and they describe how aspects of the function are reflected in the different representations.
Students use linear equations and systems of linear equations to represent, analyze, and solve a variety of problems. Students recognize equations for proportions (y/x = m) as special linear equations (y = mx + b), understanding that the constant of proportionality (m) is the slope, and the graphs are lines through the origin. They understand that the slope (m) of a line is a constant rate of change, so that if the input or x-coordinate changes by an amount A, the output or y-coordinate changes by the amount mA.
Students strategically choose and efficiently implement procedures to solve linear equations in one variable, understanding that when they use the properties of equality and the concept of logical equivalence, they maintain the solutions of the original equation. Students solve systems of two linear equations in two variables and relate the systems to pairs of lines in the plane; these intersect, are parallel, or are the same line. Students use linear equations, systems of linear equations, linear functions, and their understanding of slope of a line to analyze situations and solve problems.
Resources and Reference Documents:
Homework Assignments for Week of February 6th:
Monday - Snow Day
Tuesday - Contaminated Drinking Water
Wednesday - Snow Day
Thursday - Music Dilemma
Friday - Maria's Problem
**MAP Testing Monday -Wednesday next week!