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TEKS SE 8.5B Nonproportional Relationships Day 1

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I Do
We Do
Y’all Do
You Do
DOL
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Additional Links
Students’
Guided Notes
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the Demonstration of Learning
Anchor Chart
Video
Do Now
Complete the graph and verbal
description using the ordered pairs
provided.
Preview Challenge
Tomorrow is Joshua and Benjamin’s birthday. Joshua is 5 years older
than Benjamin.
How can we represent Joshua’s age with an equation.
Would this represent a proportional relationship? Justify your answer.
What are your initial conjectures?
Date
(8.5B) I will represent linear
Lesson Objective Non-proportional situations with equations
in the form of y = mx+b
Given 4 problems, I will represent linear
Demonstration of Non-proportional situations with equations
Learning
in the form of y = mx+b with 100%
accuracy.
Essential Question
How can we use equations to represent
linear non-proportional situations?
Academic Vocabulary
Vocabulary Review Words
● linear equation
● slope-intercept form of an
equation
● y-intercept
● rate of change
● variables
I Do
The length of a rectangle is 5 inches more than one-fourth the width,
w. Which equation represents this relationship?
A.
B.
C.
D.
l=2w+5
l=¼ w+ 5
l =¼ w-5
l=2w-5
Width
(w)
l=¼ w +5
Length
(l)
4
¼ (4) +5
6
8
¼ (8) +5
7
12
¼ (12) +5
8
Justify your answer.
We Do
Melinda has $6 more than three times as much money as her
brother, Lester. Which equation represents the relationship between
Melinda’s money, m, and Lester’s money, L?
A m = 8L+2
B m = 2L+8
C m = 2L-8
D L =2m+8
I Do
The
cash register subtracts $2.00 from a $50 gift card for every large
drink the customer buys. Which equation represents this situation?
A y = 50x-2
B y = 2x-50
C y = -2x+50
D y = -2x-50
Could the
equation y=
50-2x represent
this situation ?
Explain.
How do you know that this relationship is nonproportional?
We Do
The cost (y) of renting a jet ski at a lake is $20 per hour(x) plus
$12 for lifejackets. which can be used to calculate the total
amount you would pay for renting the jet ski.
A
B
C
D
y = 12x+20
y = 20x-12
y = 12x-20
y = 20x+12
Y’all Do
Tomorrow is Joshua and Benjamin’s birthday. Joshua is 5
years older than Benjamin.
How can we represent Joshua’s age with an equation.
Would this represent a proportional relationship? Justify
your answer.
Write an equation to represent the relationship between
Joshua and Benjamin’s age.
Y’all Do (continued)
Create a table of values for Joshua and Benjamin’s age.
Could the relation between Joshua and Benjamin be
proportional? Is it possible? Explain
You Do
❏ Read and
annotate the text.
❏ Assign Variables
❏ Answer with
justification
Differentiation
Small Group Activity
● Partner Activity
Pizza Dilemma
● Independent Activity
Pizza Dilemma
Demonstration of Learning
Given 4 problems, I will represent linear Non-proportional situations
with equations in the form of y = mx+b with 100% accuracy.
Closure
Explain how a Non-Proportional relationship be represented in
equation form.
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