8F-Define,+evaluate,+and+compare+functions

8.F.1. Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.* 8.F.2. Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). //For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.// 8.F.3. 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. //For example, the function A = s2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.// //*//Function notation is not required in Grade 8. || ===‍‍‍‍‍‍‍‍‍‍**‍‍‍‍‍Anchor Standard/Mathematical Practice(s)** === F.1 2. Reason abstractly and quantitatively. 6. Attend to precision. F.2 F.3 2. Reason abstractly and quantitatively. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. || 8.TT.1 Use technology and other resources for assigned tasks. 8.SE.1 Analyze responsible behaviors when using information and technology resources. || ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Revised Bloom's Level of thinking**=== Remembering Understanding Applying Evaluating || ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Learning Target/Task Analysis**=== is exactly one y-value is associated with any x-value. Using y to represent the output we can represent this function with the equations y = x2 + 5x + 4. Students are not expected to use the function notation f(x) at this level. Students identify functions from equations, graphs, and tables/ordered pairs. use equations, graphs and tables to categorize functions as linear or non-linear.
 * ===**Common Core Standards**===
 * 1) Make sense of problems and persevere in solving them.
 * 2) Reason abstractly and quantitatively.
 * 3) Construct viable arguments and critique the reasoning of others.
 * 4) Model with mathematics.
 * 5) Use appropriate tools strategically.
 * 6) <span style="font-family: Arial,Helvetica,sans-serif;">Attend to precision.
 * 7) <span style="font-family: Arial,Helvetica,sans-serif;">Look for and make use of structure.
 * 8) <span style="font-family: Arial,Helvetica,sans-serif;">Look for and express regularity in repeated reasoning.
 * ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Information Technology Standard**===
 * 8.F.1** Students understand rules that take x as input and gives y as output is a function. Functions occur when there
 * 8.F.2** Students compare two functions from different representations.
 * 8.F.3** Students understand that linear functions have a constant rate of change between any two points. Students

‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**I can...**
define, evaluate, and compare functions. I can distinguish between functions and non-functions. I can understand input and output. I can express functions algebraically, graphically, and in tables. I can express functions verbally. I can identify functions as linear and non-linear. I can understand that the rate of change is the same between any two points on a straight line.
 * 8.F.1**
 * 8.F.2**
 * 8.F.3**

‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Essential Vocabulary**
functions, y-value, x-value, vertical line test, input, output, rate of change, linear function, non-linear function

‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Differentiation**
Work station: Looking for Lines page 113 and page 98

‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Intervention:**
Hands-on activities page 183-189

‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Enrichment:**
Navigating through Algebra page 29 ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Instructional Resources**=== Carnegie Learning chapter 2 and chapter 3 Mathematics Stations page 114 and 101
 * Quantiles F.1**
 * Quantile F.2**
 * Quantile F.3**

===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Notes and Additional Information**===
 * Refer to NC DPI unpacked content pages 19-22**
 * Refer to Arizona Academic Content standards pages 13-15**