FRAME THE LESSON
Student Expectations Bundled in Lesson
Noun=Underline
Verb=Italicize
Supporting TEKS
8.5(H) identify examples of proportional and nonproportional functions that arise from mathematical
and real-world problems
8.9(A) identify and verify the values of x and y that
simultaneously satisfy two linear equations in the form y
= mx + b from the intersections of the graphed equations
Readiness TEKS
TEACHER:
CLASS:
8th Mathematics
Dec 7 – 11
M T W TH F
3rd 6 Weeks
Unit 6: Non-Proportional Relationships and Functions
Teaching Points & Activities: Unit Rates, Constant Rates of Change & Constant of Proportionality
Engage:
Monday
Review
Explore:
Tuesday
Wednesday
Test
Flex Day
Texas Test
Prep – pgs. 8384; 123-124.
Options:
Explain:
Friday
ETA Hands2Mind
Lesson 2, “Linear
Functions”, pg.
60-63.
Lesson 6.1,
“Identifying and
representing
Functions”, pg.
155-612.
Go over test
and reinforce
misconceptions
Elaborate:
Student group
work applying
concepts.
ELPS: c.4.D
Use the 5-E’s
outlined in the TE
to teach your
class.
Differentiate
learning as
needed.
Stop & Check for Understanding—High Level Questions
What do you look for in a mapping diagram to determine whether the relationship is a
function?
The student will graph functions based on input/output
coordinate pairs and determine if the function is linear or
not.
The student will identify examples of proportional and
non-proportional functions that arise from mathematical
and real-world problems.
Closing Product/ Question/ Informal
Assessment:
6.1 Lesson Quiz, pgs.
ETA Hands-OnStandards, Gr 8
Go Math
Interactive
Whiteboard
GO Math’s
Personal Math
Trainer
GO Math’s Math
on the Spot
GO Math’s
Animated Math
Critical Writing Prompt:
How can you identify and represent
functions? Be specific and detailed in
your answer.
Rigor & Relevance: (Real World
Connection)
Small Group Purposeful Talk Question Stems:
The student will identify functions using sets of ordered
pairs, tables, mappings, and graphs.
GO Math, Grade 8
XY Coordinate
Pegboards
Evaluate:
Objective/Key Understanding:
Week 15
Resources:
Thursday
Extend the
lesson.
8.5(G) identify functions using sets of ordered pairs,
tables, mappings, and graphs
Process TEKS: 8.1A, 8.1B, 8.1C, 8.1D, 8.1E, 8.1F, 8.1G
LESSON DATE:
Use your phone to research the math philosopher Leibniz. What was he known for? (first to
use the word “function” as it is used in this lesson – almost 4000 years ago.)
How is the word function used in our society?
Vocabulary:
Function
Slope
Ordered pair
Range
input
y-intercept
bivariate data
output
x-coordinate
non-linear relationship
linear equation
y-coordinate
domain
The set of inputs for a function is called
the domain. The set of all possible outputs
of a function is called the range. For many
functions, the domains the set of real
numbers. However, the domain is
frequently restricted. For example, the
domain may be restricted to all positive
real numbers and zero if negative numbers
do not make sense. For some functions,
the domain may be restricted to the
positive integers and zero. For example, a
function describing the total costs of
tickets to a concert would be restricted to
the positive integers and zero since you
cannot buy a fraction of a ticket or a
negative number of tickets.