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MCT4C Exponential Functions
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AMDEC Mathematics Department MCT 4C - Student Goal Tracking Sheet
Name: ___________________ Unit name: Exponential Functions Goals for this unit:
1) I can apply the concepts and rules for exponents to solve exponential equations including problems from real – world situations.
2) I can use technology, when appropriate to solve questions that involve exponential functions and equations.
3) I can describe/explain the properties of exponential functions
Today’s Topic Today’s Goal
Self-Assessment Self-Reflection
Did
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vid
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Did
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Did
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How
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Did
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Did
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Review of necessary skills
I am able to differentiate between functions and relations, use function notation and state domain and range for a given graph.
Exponent Laws and Rational Exponents
I am able to apply the basic exponent rules to questions that contain both integer and rational exponents and rewrite exponential expressions in radical form.
Properties of Exponential Functions
I am able to identify the properties of an exponential function and explain/prove why some properties exist.
MCT4C Exponential Functions
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Solve Exponential Equations Using Common Base
I am able to identify equations that use the concept of exponents and using common base, solve each equation appropriately.
Today’s Topic Today’s Goal
Self-Assessment Self-Reflection
Did
I w
atc
h t
he a
ssig
ned
vid
eo for
this
topic
?
Did
I c
om
ple
te the
hom
ew
ork
for
this
topic
?
Did
I c
om
ple
te the J
ourn
al
for
this
topic
?
How
successfu
l w
as I w
ith
this
Journ
al?
(1
(need
revie
w)
to 4
(m
aste
red))
Did
I r
evie
w this
for
the
unit t
est?
Did
I r
evie
w this
for
the
exam
?
Solve Exponential Equations using Technology
I am able to identify when common base cannot be used to solve and exponential equation and use the appropriate technology to solve the equation.
Applications for Exponential Functions
I can extend my knowledge of solving exponential equations to real-world situations and reflect on the reasonableness of my answer.
Pre-test reflection (How am I going to do? What am I good at? What do I need to study or improve?)
Post-test reflection (How did I do? What was I good at? What do I need to study or improve on for the exam? How am I going to do this?)
K A C T
MCT4C Exponential Functions
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U1J1 - Review of necessary skills
1) Explain the difference between a function and a relation.
MCT4C
Exponential Functions
1
U1J2 - Exponent Laws and Rational Exponents
1) Simplify the following.
A) (𝑎−2𝑏3)−5 B) (𝑎2𝑏−5𝑐8)−2(𝑎4𝑏𝑐−1)3
C) (−2𝑎2)
−2
3𝑦3 D)
2
(√5𝑎2)3
2. Use 823⁄ as an example to answer the following:
A) Explain the relationship between exponential and radical notation.
B) Evaluate 823⁄ . Which format do you prefer. Explain.
MCT4C
Exponential Functions
1
U1J3 - Properties of Exponential Functions
1. For the function 𝑦 = 𝑏𝑥.
A) Sketch a graph for when b>0 and when 0<b<1.
B) List properties that are similar for both graphs.
C) List properties that are different for both graphs.
2. For the function 𝑦 = 𝑏𝑥 :
A) Explain what happens to the graph when you change the base (b=2 versus b=5)
B) Explain what happens to the graph when you change the sign on the exponent.
C) Explain why you never have a y-value of 0.
MCT4C
Exponential Functions
1
U1J4 - Solve Exponential Equations Using Common Base
1. Solve the equation 13(8𝑥+2) = 52 using common bases. Briefly explain each step
in your process.
2. Solve the equation (1
9)2𝑥
×1
27= 9−𝑥 using common bases. Briefly explain each
step in your process for future reference.
MCT4C
Exponential Functions
1
U1J5 - Solve Exponential Equations using Technology (Desmos.com)
1. Solve the following using Desmos.com
A) 7𝑥 = 12 B) 52𝑥−1 = 45
2. Solve the following using Desmos.com. Explain your steps.
6𝑥 − 5 = 2𝑥 + 3
MCT4C
Exponential Functions
1
U1J6 - Applications for Exponential Functions
1. CIBC offers an investment that pays 5% interest compounded monthly. You invested $1500 when you were younger and now it is worth $2800. Determine how many years it was invested. 2. Mitchell has a current population of 5600 people. The Town anticipates a growth rate of 5%. Determine how many years it will take for Mitchell to reach a population of 9000, assuming the rate of growth continues.