Exploring Logarithms with a Creative Twist

What is the purpose of visualizing trees in the lesson?

• To compare different types of forests

• To demonstrate the physical properties of trees

• To help students relax and engage with the material

• To introduce the concept of growth

Tags

CCSS.RI.1.1

CCSS.RI.2.1

CCSS.RI.3.1

CCSS.RL.2.1

CCSS.RL.3.1

If a tree doubles in size each year, how many times larger is it after four years?

• 8 times

• 4 times

• 16 times

• 32 times

What does the logarithmic form log base 2 of 16 equal?

• 8

• 4

• 2

• 16

Tags

CCSS.HSF.BF.B.5

In the tripling tree example, what is the value of the tree variable when the tree is 27 times its original size?

• 3

• 5

• 4

• 2

How can you remember the order of base, exponent, and argument in logarithmic notation?

• Memorizing through repetition

• Using a standard formula

• Drawing a cross-section of a log with a swirl

• Drawing a circle

Tags

CCSS.HSF.BF.B.5

Why is the logarithmic function undefined for a base of one?

• It results in a constant value

• It does not change the argument

• There is no exponent that would satisfy the equation

• It always results in zero

What happens if you use zero as the base in a logarithmic function?

• It simplifies the function

• It equals one

• It is undefined

• It results in zero

What is the result of log base 2 of 1/2?

• 0

• 1/2

• -1

• 1

What is the commonly used default logarithmic base on calculators?

• Base 2

• Base 10

• Base e

• Base 5

What does 'Ln' stand for in logarithmic functions?

• Logarithm natural

• Logarithm number

• Linear notation

• Large number

Tags

CCSS.HSF.BF.B.5