**"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...