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'Cupid (Unit 7 TEKS) Shuffle'

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by

Jennifer Love

on 8 February 2016

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Transcript of 'Cupid (Unit 7 TEKS) Shuffle'

"Cupid (Unit 7 TEKS) Shuffle"
Sweet TEKS!
EXAMPLE
Peppermint PatTEKS!
Unit 7 is all about EXPONENTIAL FUNCTIONS & EQUATIONS
So Lets Explore the TEKS!

Determine the Domain, Range & Asymptotes from the graph.
Interpret the meaning of a and b in y =ab^x
Here's TEKS Valentine that's nice enough for you;

It's
A.9B
that has lovely information too;
Go ahead and check to see what it's about;
It'll be very informative, without a doubt!
Hugs & TEKS
Roses are Red, Violets are Blue...Look what TEKS A.9A has in store for You!
DeterminE the domain and range

and represent the domain and range using inequalities
of
Exponential Functions
Students are expected to interpret limitations on independent and dependent variables in real-world problems.
Also....
Sample Problem
What values of C and t are meaningful in the context of the problem?

Since t represents time, t > 0. At t = 0, the consumption is 179 billion liters. Therefore, in the context of this problem C > 179 is meaningful.
Haven't Students done this before?????
YOU ARE ABSOLUTELY CORRECT!!!
Students have determined Domain & Range of Linear and Quadratic Functions but NOW they will determine the domain & range of EXPONENTIAL FUNCTIONS using inequalities!
Remember to Access that Prior Knowledge!!!
in
real-world problems
This Means...
Students will analyze how values of a and b affect exponential functions
both in a mathematical & real world context
Example Situation
From the value of a, students should be able to identify how many students graduated initially (i.e in the year 2001, 110 students graduated)
Also, from the value of b = 1.055, students should interpret that the number of students graduating is increasing (since b > 1) at a rate of 5.5% growth each year.
The number of graduates at a high school every year since 2001 is modeled by the function below:
TEKS Pops!
A hundred hearts would be too few
To carry all A.9C's love for you.
to describe problems arising from mathematical & real-world situations
WRITE Exponential Functions in the form:
where 'b' is a rational number
GROWTH
DECAY
INCLUDING
Domain: all real numbers
Range: y > 2
In Algebra 1 Students are expected to generate a table of values given situations
Meaning....
Given this
Student's should recognize this
And write...
common factor of .5; so b = 1/2 and since f(0) = 64; a = 64 ; therefore
REMEMBER those Real-World Examples

The previous TEKS A.9B supports this readiness standard A.9C; so if students were able to interpret "a" & "b" in real world problems, then they are now ready to write an equation given scenarios!
Example scenario:
The deer population at a national park doubles every year. In 2000, there
were 25 deer in the park.
Students formulate:
Students write:
Numbers begin with 1,2,3
Music begins with do, re, mi
And
TEKS A.9D's love
begins with you and me!
GRAPH Exponential Functions!
Identifying Key Features as well!
When graphing exponential functions that model real-world situations, students may have to adjust the scales on the x- and y-axes to values that make sense in the problem.
Mathematically
Real-World
&
asymptote @ y = 0
y-intercept
Jelly Belly TEKS
It takes a world of special thoughts
Tucked into every line
And that's exactly what you'll find
Inside this last TEKS A.9E Valentine
Write,

using technology
,

Exponential Functions...
Lastly students will make predictions for real-world problems.
Students input
Students output
Approximately at what time will the temperature be zero degrees?
Asymptote : y = 2
Initial Amount
The Key to this TEKS is for students to be able to determine the
Initial Value & Common Ratio
from a table of values
...that Provide a Reasonable fit to Data...
Full transcript