Instructional Focus Unit Organizer
Course:
Linear Algebra
Instructional Focus Unit(s):
6
Domain(s):
Functions
Cluster(s):
8.F.A Define, evaluate, and compare functions.
8.F.B Use functions to model relationships between quantities.
Standard(s):
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. (Function notation is not required in Grade
8.)
8.F.2. Compare properties of two functions each represented in a different way (algebraically, graphically, numerically
in tables, or by verbal descriptions).
8.F.5. Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the
function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a
function that has been described verbally.
Verbs
Define
Evaluate
Compare
Understand
Model
Analyzing
Revised 2/13/13
Noun (phrases)
Functions
Rule
Input
One output
Graph
Set of ordered pairs
Input and corresponding output
Properties of two functions
Different way
Algebraically, graphically, numerically in tables,
verbal descriptions
Relationships between quantities
Function notation not required
Qualitative features
Kyrene School District
Working Document
Student will be able to:
Student will understand:
 Define functions
 Understand that a function is a rule that
assigns to each input exactly one output
 Define non-functions
 The graph of a function is the set of ordered
 Evaluate functions
pairs consisting of an input and the
 Evaluate non-functions
corresponding output
 Compare properties of a function to a
 The difference between functions and nonfunction(algebraically, graphically, in tables, verbal
functions using graphs, equations, and tables
description)
 Compare functions to non-functions
 Differentiate a function vs a non-function
 Use equations to determine if it represents a
function or a non-function
 Model relationships between quantities
 Use graphs of functions to reason toward solutions
to linear equations
Revised Learning Goal(s) :
The student will understand and explain the difference between functions and non-functions using graphs,
equations, and tables.
Learning Scale(s):
4
In addition to level
3.0 and above and
beyond what was
taught in class, the
student may:


Make
connection
with other
concepts in
math
Make
connection
with other
content areas.
3
The student will
understand and
explain the
difference
between functions
and non-functions
using graphs,
equations, and
tables.
 Compare
properties of a
function to a
function
 Compare
properties of a
function to a
non-function
2
The student will be
able to model and
evaluate functions
and non-functions.
 use graphs,
equations, and
tables to
determine
functions and
non-functions
1
0
With help from the Even with help, the
teacher, the
student no success
student has
with the functions.
partial success
with level 2 and 3
elements.
Assessment(s):
Attached
Revised 2/13/13
Kyrene School District
Working Document
Sequencing of Learning Targets:
1. Define functions
a. Understand that a function is a rule that assigns to each input exactly one output
2. Evaluate functions
3. Compare properties of a function to a function(algebraically, graphically, in tables, verbal description)
a. The graph of a function is the set of ordered pairs consisting of an input and the corresponding
output
4. Define non-functions
5. Evaluate non-functions
6. Compare functions to non-functions
7. Differentiate a function vs a non-function
8. The difference between functions and non-functions using graphs, equations, and tables
a. Use equations to determine if it represents a function or a non-function
b. Model relationships between quantities
9. Use graphs of functions to reason toward solutions or interpretations
10. Explain that a function is a rule that assigns to each input exactly one output
Revised 2/13/13
Kyrene School District
Working Document