Math+Plans

**Unit 2**
=**Linear Functions and Analyzing Linear Equations**=

__**Learning Targets**__
I can solve linear equations in one variable I can solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the Distributive Property and combining like terms I can solve linear equations with variables on both sides of the equal sign I can understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously. I can solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. I can solve real-world and mathematical problems leading to two linear equations in two variables. I can understand that a function is a rule that assigns to each input exactly one output. I can understand the graph of a function is the set of ordered pairs consisting of an input and the corresponding output. I can compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). I can interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. I can construct a function to model a linear relationship between two quantities. I can determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. I can interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values. I can describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). I can sketch a graph that exhibits the qualitative features of a function that has been described verbally.
 * __<span style="font-family: Arial,sans-serif; font-size: 10pt;">8.EE.7a & 8.EE.7b __**
 * __<span style="font-family: Arial,sans-serif; font-size: 10pt;">8.EE.8 __**
 * __<span style="font-family: Arial,sans-serif; font-size: 10pt;">8.F.1 __**
 * __<span style="font-family: Arial,sans-serif; font-size: 10pt;">8.F.2 __**
 * __<span style="font-family: Arial,sans-serif; font-size: 10pt;">8.F.3 __**
 * __<span style="font-family: Arial,sans-serif; font-size: 10pt;">8.F.4 __**
 * __<span style="font-family: Arial,sans-serif; font-size: 10pt;">8.F.5 __**

**I can perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used.** **I can use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.** **NOTE: Not a power standard but important for K-Prep.** **I can understand and apply the properties of integer exponents to generate equivalent numerical expressions. 8.G.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions. 8.G.8 Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.** __8.EE.5__ **I can graph proportional relationships, interpreting the unit rate as the slope of the graph. I can compare two different proportional relationships represented in different ways. (For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.)** __8.EE.6__ **I can use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.** ||
 * || == Unit 3 == ||
 * ==Properties of Exponents and PythagoreanTheorem== ||
 * [[image:http://mso-mathandalgebra.wikispaces.com/site/embedthumbnail/placeholder?w=NaN&h=NaN width="NaN" height="NaN"]] ||
 * == __Learning Targets__ == ||
 * ** __8.EE.4__ **
 * ** __8.EE.4__ **
 * __ 8.EE.1 __**